2308 lines
217 KiB
HTML
2308 lines
217 KiB
HTML
<!DOCTYPE html>
|
||
<html lang="zh-CN">
|
||
<head prefix="og: http://ogp.me/ns# article: http://ogp.me/ns/article#">
|
||
<meta charset="UTF-8" />
|
||
|
||
<meta name="generator" content="Hugo 0.113.0"><meta name="theme-color" content="#fff" />
|
||
<meta name="color-scheme" content="light dark">
|
||
|
||
|
||
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
|
||
|
||
<meta name="format-detection" content="telephone=no, date=no, address=no, email=no" />
|
||
|
||
<meta http-equiv="Cache-Control" content="no-transform" />
|
||
|
||
<meta http-equiv="Cache-Control" content="no-siteapp" />
|
||
|
||
<title>排序合集 | 飞鸿踏雪</title>
|
||
|
||
<link rel="stylesheet" href="/css/meme.min.12a3541920a798d49c1bca858f15c53090f14ce9367a34faa2bb51dd38299730.css"/>
|
||
|
||
|
||
|
||
<script src="/js/meme.min.ac2b48f322cff6a9a8036be3baf3e59e300cd9e4191997a8c3765f79de02bf8d.js"></script>
|
||
|
||
|
||
|
||
<link rel="preconnect" href="https://fonts.gstatic.com" crossorigin />
|
||
|
||
<link rel="stylesheet" href="https://fonts.googleapis.com/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,700;1,400;1,700&family=Noto+Serif+SC:wght@400;500;700&family=Source+Code+Pro:ital,wght@0,400;0,700;1,400;1,700&display=swap" media="print" onload="this.media='all'" />
|
||
<noscript><link rel="stylesheet" href="https://fonts.googleapis.com/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,700;1,400;1,700&family=Noto+Serif+SC:wght@400;500;700&family=Source+Code+Pro:ital,wght@0,400;0,700;1,400;1,700&display=swap" /></noscript>
|
||
|
||
<meta name="author" content="InkSoul" /><meta name="description" content="内容参考：十大经典排序算法 归并排序 基本思想： 将待排序元素分为大小大致相同的两个子集合……" />
|
||
|
||
<link rel="shortcut icon" href="/favicon.ico" type="image/x-icon" />
|
||
<link rel="mask-icon" href="/icons/safari-pinned-tab.svg" color="#2a6df4" />
|
||
<link rel="apple-touch-icon" sizes="180x180" href="/icons/apple-touch-icon.png" />
|
||
<meta name="apple-mobile-web-app-capable" content="yes" />
|
||
<meta name="apple-mobile-web-app-title" content="飞鸿踏雪" />
|
||
<meta name="apple-mobile-web-app-status-bar-style" content="black" />
|
||
<meta name="mobile-web-app-capable" content="yes" />
|
||
<meta name="application-name" content="飞鸿踏雪" />
|
||
<meta name="msapplication-starturl" content="../../" />
|
||
<meta name="msapplication-TileColor" content="#fff" />
|
||
<meta name="msapplication-TileImage" content="../../icons/mstile-150x150.png" />
|
||
<link rel="manifest" href="/manifest.json" />
|
||
|
||
|
||
|
||
|
||
|
||
<link rel="canonical" href="http://www.inksoul.top/algorithm/%E6%8E%92%E5%BA%8F%E5%90%88%E9%9B%86/" />
|
||
|
||
|
||
<script type="application/ld+json">
|
||
{
|
||
"@context": "https://schema.org",
|
||
"@type": "BlogPosting",
|
||
"datePublished": "2022-05-19T10:34:31+08:00",
|
||
"dateModified": "2023-06-18T21:19:01+08:00",
|
||
"url": "http://www.inksoul.top/algorithm/%E6%8E%92%E5%BA%8F%E5%90%88%E9%9B%86/",
|
||
"headline": "排序合集",
|
||
"description": "内容参考：十大经典排序算法 归并排序 基本思想： 将待排序元素分为大小大致相同的两个子集合……",
|
||
"inLanguage" : "zh-CN",
|
||
"articleSection": "algorithm",
|
||
"wordCount": 4102 ,
|
||
"image": "http://www.inksoul.top/icons/apple-touch-icon.png",
|
||
"author": {
|
||
"@type": "Person",
|
||
"email": "qingci30@163.com",
|
||
"image": "http://www.inksoul.top/icons/apple-touch-icon.png",
|
||
"url": "http://www.inksoul.top",
|
||
"name": "InkSoul"
|
||
},
|
||
"license": "[CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/deed.zh)",
|
||
"publisher": {
|
||
"@type": "Organization",
|
||
"name": "飞鸿踏雪",
|
||
"logo": {
|
||
"@type": "ImageObject",
|
||
"url": "http://www.inksoul.top/icons/apple-touch-icon.png"
|
||
},
|
||
"url": "http://www.inksoul.top/"
|
||
},
|
||
"mainEntityOfPage": {
|
||
"@type": "WebSite",
|
||
"@id": "http://www.inksoul.top/"
|
||
}
|
||
}
|
||
</script>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<meta property="og:title" content="排序合集" />
|
||
<meta property="og:description" content="内容参考：十大经典排序算法 归并排序 基本思想： 将待排序元素分为大小大致相同的两个子集合……" />
|
||
<meta property="og:url" content="http://www.inksoul.top/algorithm/%E6%8E%92%E5%BA%8F%E5%90%88%E9%9B%86/" />
|
||
<meta property="og:site_name" content="飞鸿踏雪" />
|
||
<meta property="og:locale" content="zh" /><meta property="og:image" content="http://www.inksoul.top/icons/apple-touch-icon.png" />
|
||
<meta property="og:type" content="article" />
|
||
<meta property="article:published_time" content="2022-05-19T10:34:31+08:00" />
|
||
<meta property="article:modified_time" content="2023-06-18T21:19:01+08:00" />
|
||
|
||
<meta property="article:section" content="algorithm" />
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</head>
|
||
|
||
<body>
|
||
<div class="container">
|
||
|
||
<header class="header">
|
||
|
||
<div class="header-wrapper">
|
||
<div class="header-inner single">
|
||
|
||
<div class="site-brand">
|
||
|
||
<a href="/" class="brand">飞鸿踏雪</a>
|
||
|
||
</div>
|
||
|
||
<nav class="nav">
|
||
<ul class="menu" id="menu">
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/computergraphic/"><svg class="icon computergraphic" fill="none" stroke="currentColor" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M20 7l-8-4-8 4m16 0l-8 4m8-4v10l-8 4m0-10L4 7m8 4v10M4 7v10l8 4"></path></svg><span class="menu-item-name">图形学</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item active"><a href="/algorithm/"><svg class="icon algorithm" fill="none" stroke="currentColor" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M9.663 17h4.673M12 3v1m6.364 1.636l-.707.707M21 12h-1M4 12H3m3.343-5.657l-.707-.707m2.828 9.9a5 5 0 117.072 0l-.548.547A3.374 3.374 0 0014 18.469V19a2 2 0 11-4 0v-.531c0-.895-.356-1.754-.988-2.386l-.548-.547z"></path></svg><span class="menu-item-name">算法</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/mathematics/"><svg class="icon mathematics" fill="none" stroke="currentColor" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 576 512"><path stroker-linecap="round" stroke-linejoin="round" stroker-width="2" d="M576 32.01c0-17.69-14.33-31.1-32-31.1l-224-.0049c-14.69 0-27.48 10-31.05 24.25L197.9 388.3L124.6 241.7C119.2 230.9 108.1 224 96 224L32 224c-17.67 0-32 14.31-32 31.1s14.33 32 32 32h44.22l103.2 206.3c5.469 10.91 16.6 17.68 28.61 17.68c1.172 0 2.323-.0576 3.495-.1826c13.31-1.469 24.31-11.06 27.56-24.06l105.9-423.8H544C561.7 64.01 576 49.7 576 32.01zM566.6 233.4c-12.5-12.5-32.75-12.5-45.25 0L480 274.8l-41.38-41.37c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25l41.38 41.38l-41.38 41.38c-12.5 12.5-12.5 32.75 0 45.25C399.6 412.9 407.8 416 416 416s16.38-3.125 22.62-9.375L480 365.3l41.38 41.38C527.6 412.9 535.8 416 544 416s16.38-3.125 22.62-9.375c12.5-12.5 12.5-32.75 0-45.25l-41.38-41.38L566.6 278.6C579.1 266.1 579.1 245.9 566.6 233.4z"/></svg><span class="menu-item-name">数学</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/408/"><svg class="icon 408" fill="none" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 576 512"><!--! Font Awesome Pro 6.1.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license (Commercial License) Copyright 2022 Fonticon 408s, Inc. --><path d="M172.1 40.16L268.1 3.76C280.9-1.089 295.1-1.089 307.9 3.76L403.9 40.16C425.6 48.41 440 69.25 440 92.52V204.7C441.3 205.1 442.6 205.5 443.9 205.1L539.9 242.4C561.6 250.6 576 271.5 576 294.7V413.9C576 436.1 562.9 456.2 542.5 465.1L446.5 507.3C432.2 513.7 415.8 513.7 401.5 507.3L288 457.5L174.5 507.3C160.2 513.7 143.8 513.7 129.5 507.3L33.46 465.1C13.13 456.2 0 436.1 0 413.9V294.7C0 271.5 14.39 250.6 36.15 242.4L132.1 205.1C133.4 205.5 134.7 205.1 136 204.7V92.52C136 69.25 150.4 48.41 172.1 40.16V40.16zM290.8 48.64C289 47.95 286.1 47.95 285.2 48.64L206.8 78.35L287.1 109.5L369.2 78.35L290.8 48.64zM392 210.6V121L309.6 152.6V241.8L392 210.6zM154.8 250.9C153 250.2 150.1 250.2 149.2 250.9L70.81 280.6L152 311.7L233.2 280.6L154.8 250.9zM173.6 455.3L256 419.1V323.2L173.6 354.8V455.3zM342.8 280.6L424 311.7L505.2 280.6L426.8 250.9C425 250.2 422.1 250.2 421.2 250.9L342.8 280.6zM528 413.9V323.2L445.6 354.8V455.3L523.2 421.2C526.1 419.9 528 417.1 528 413.9V413.9z"/></svg><span class="menu-item-name">408</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/stuff/"><svg class="icon stuff" fill="none" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><!--! Font Awesome Pro 6.1.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license (Commercial License) Copyright 2022 Fonticon stuffs, Inc. --><path d="M216 104C202.8 104 192 114.8 192 128s10.75 24 24 24c79.41 0 144 64.59 144 144C360 309.3 370.8 320 384 320s24-10.75 24-24C408 190.1 321.9 104 216 104zM224 0C206.3 0 192 14.31 192 32s14.33 32 32 32c123.5 0 224 100.5 224 224c0 17.69 14.33 32 32 32s32-14.31 32-32C512 129.2 382.8 0 224 0zM188.9 346l27.37-27.37c2.625 .625 5.059 1.506 7.809 1.506c17.75 0 31.99-14.26 31.99-32c0-17.62-14.24-32.01-31.99-32.01c-17.62 0-31.99 14.38-31.99 32.01c0 2.875 .8099 5.25 1.56 7.875L166.2 323.4L49.37 206.5c-7.25-7.25-20.12-6-24.1 3c-41.75 77.88-29.88 176.7 35.75 242.4c65.62 65.62 164.6 77.5 242.4 35.75c9.125-5 10.38-17.75 3-25L188.9 346z"/></svg><span class="menu-item-name">杂物</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
<li class="menu-item"><a href="/about/"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 496 512" class="icon user-circle"><path d="M248 8C111 8 0 119 0 256s111 248 248 248 248-111 248-248S385 8 248 8zm0 96c48.6 0 88 39.4 88 88s-39.4 88-88 88-88-39.4-88-88 39.4-88 88-88zm0 344c-58.7 0-111.3-26.6-146.5-68.2 18.8-35.4 55.6-59.8 98.5-59.8 2.4 0 4.8.4 7.1 1.1 13 4.2 26.6 6.9 40.9 6.9 14.3 0 28-2.7 40.9-6.9 2.3-.7 4.7-1.1 7.1-1.1 42.9 0 79.7 24.4 98.5 59.8C359.3 421.4 306.7 448 248 448z"/></svg><span class="menu-item-name">关于</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="menu-item">
|
||
<a id="theme-switcher" href="#"><span class="icon theme-icon-light">🌞</span><span class="icon theme-icon-dark">🌙</span></a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</ul>
|
||
</nav>
|
||
|
||
|
||
</div>
|
||
</div>
|
||
|
||
<input type="checkbox" id="nav-toggle" aria-hidden="true" />
|
||
<label for="nav-toggle" class="nav-toggle"></label>
|
||
<label for="nav-toggle" class="nav-curtain"></label>
|
||
|
||
|
||
|
||
</header>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<main class="main single" id="main">
|
||
<div class="main-inner">
|
||
|
||
|
||
|
||
<article class="content post h-entry" data-align="justify" data-type="algorithm" data-toc-num="true">
|
||
|
||
<h1 class="post-title p-name">排序合集</h1>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<div class="post-body e-content">
|
||
<p>内容参考：<a href="https://sort.hust.cc/" target="_blank" rel="noopener">十大经典排序算法</a></p>
|
||
<hr>
|
||
<h4 id="归并排序"><a href="#归并排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>归并排序</h4>
|
||
<p>基本思想：</p>
|
||
<p>将待排序元素分为大小大致相同的两个子集合，分别对两个子集合进行排序，最终将排好序的子集合并成为所要求的排好序的集合</p>
|
||
<p>JAVA实现</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span><span class="lnt">38
|
||
</span><span class="lnt">39
|
||
</span><span class="lnt">40
|
||
</span><span class="lnt">41
|
||
</span><span class="lnt">42
|
||
</span><span class="lnt">43
|
||
</span><span class="lnt">44
|
||
</span><span class="lnt">45
|
||
</span><span class="lnt">46
|
||
</span><span class="lnt">47
|
||
</span><span class="lnt">48
|
||
</span><span class="lnt">49
|
||
</span><span class="lnt">50
|
||
</span><span class="lnt">51
|
||
</span><span class="lnt">52
|
||
</span><span class="lnt">53
|
||
</span><span class="lnt">54
|
||
</span><span class="lnt">55
|
||
</span><span class="lnt">56
|
||
</span><span class="lnt">57
|
||
</span><span class="lnt">58
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kd">static</span> <span class="kt">void</span> <span class="nf">mergeSort</span><span class="o">(</span><span class="n">Comparable</span><span class="o">[]</span><span class="n">a</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">Comparable</span> <span class="o">[]</span><span class="n">b</span><span class="o">=</span><span class="k">new</span> <span class="n">Comparable</span><span class="o">[</span><span class="n">a</span><span class="o">.</span><span class="na">length</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">s</span><span class="o">=</span><span class="mi">1</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">(</span><span class="n">s</span><span class="o"><</span><span class="n">a</span><span class="o">.</span><span class="na">length</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">mergePass</span><span class="o">(</span><span class="n">a</span><span class="o">,</span><span class="n">b</span><span class="o">,</span><span class="n">s</span><span class="o">);</span><span class="c1">//合并到数组a
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="n">s</span><span class="o">+=</span><span class="n">s</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">mergePass</span><span class="o">(</span><span class="n">b</span><span class="o">,</span><span class="n">a</span><span class="o">,</span><span class="n">s</span><span class="o">);</span><span class="c1">//合并到数组b
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="n">s</span><span class="o">+=</span><span class="n">s</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kd">static</span> <span class="kt">void</span> <span class="nf">mergePass</span><span class="o">(</span><span class="n">Comparable</span> <span class="o">[]</span><span class="n">x</span><span class="o">,</span><span class="n">Comparable</span><span class="o">[]</span><span class="n">y</span><span class="o">,</span><span class="kt">int</span> <span class="n">s</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">i</span> <span class="o">=</span><span class="mi">0</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">(</span><span class="n">i</span><span class="o"><=</span><span class="n">x</span><span class="o">.</span><span class="na">length</span><span class="o">-</span><span class="mi">2</span><span class="o">*</span><span class="n">s</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//合并大小为s的相邻两段子数组
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="n">merge</span><span class="o">(</span><span class="n">x</span><span class="o">,</span><span class="n">y</span><span class="o">,</span><span class="n">i</span><span class="o">,</span><span class="n">i</span><span class="o">+</span><span class="n">s</span><span class="o">-</span><span class="mi">1</span><span class="o">,</span><span class="n">i</span><span class="o">+</span><span class="mi">2</span><span class="o">*</span><span class="n">s</span><span class="o">-</span><span class="mi">1</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">i</span><span class="o">=</span><span class="n">i</span><span class="o">+</span><span class="mi">2</span><span class="o">*</span><span class="n">s</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//剩下的元素个数小于2s时
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="k">if</span><span class="o">(</span><span class="n">i</span><span class="o">+</span><span class="n">s</span><span class="o"><</span><span class="n">x</span><span class="o">.</span><span class="na">length</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">merge</span><span class="o">(</span><span class="n">x</span><span class="o">,</span><span class="n">y</span><span class="o">,</span><span class="n">i</span><span class="o">,</span><span class="n">i</span><span class="o">+</span><span class="n">s</span><span class="o">-</span><span class="mi">1</span><span class="o">,</span><span class="n">x</span><span class="o">.</span><span class="na">length</span><span class="o">-</span><span class="mi">1</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">else</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//剩余元素复制到y
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">j</span><span class="o">=</span><span class="n">i</span><span class="o">;</span><span class="n">j</span><span class="o"><</span><span class="n">x</span><span class="o">.</span><span class="na">length</span><span class="o">;</span><span class="n">j</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">y</span><span class="o">[</span><span class="n">j</span><span class="o">]=</span><span class="n">x</span><span class="o">[</span><span class="n">j</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kd">static</span> <span class="kt">void</span> <span class="nf">merge</span><span class="o">(</span><span class="n">Comparable</span><span class="o">[]</span><span class="n">c</span><span class="o">,</span><span class="n">Comparable</span><span class="o">[]</span><span class="n">d</span><span class="o">,</span><span class="kt">int</span> <span class="n">l</span><span class="o">,</span><span class="kt">int</span> <span class="n">m</span><span class="o">,</span><span class="kt">int</span> <span class="n">r</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//合并c[l:m]和c[m+1:r]到d[l:r]
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="kt">int</span> <span class="n">i</span><span class="o">=</span><span class="n">l</span><span class="o">,</span><span class="n">j</span><span class="o">=</span><span class="n">m</span><span class="o">+</span><span class="n">l</span><span class="o">,</span><span class="n">k</span><span class="o">=</span><span class="n">l</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">((</span><span class="n">i</span><span class="o"><=</span><span class="n">m</span><span class="o">)&&(</span><span class="n">j</span><span class="o"><=</span><span class="n">r</span><span class="o">))</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">c</span><span class="o">[</span><span class="n">i</span><span class="o">].</span><span class="na">compareTo</span><span class="o">(</span><span class="n">c</span><span class="o">[</span><span class="n">j</span><span class="o">])<=</span><span class="mi">0</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">d</span><span class="o">[</span><span class="n">k</span><span class="o">++]=</span><span class="n">c</span><span class="o">[</span><span class="n">i</span><span class="o">++];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">else</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">d</span><span class="o">[</span><span class="n">k</span><span class="o">++]=</span><span class="n">c</span><span class="o">[</span><span class="n">j</span><span class="o">++];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">i</span><span class="o">></span><span class="n">m</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">q</span><span class="o">=</span><span class="n">j</span><span class="o">;</span><span class="n">q</span><span class="o"><=</span><span class="n">r</span><span class="o">;</span><span class="n">q</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">d</span><span class="o">[</span><span class="n">k</span><span class="o">++]=</span><span class="n">c</span><span class="o">[</span><span class="n">q</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">else</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">q</span><span class="o">=</span><span class="n">i</span><span class="o">;</span><span class="n">q</span><span class="o"><=</span><span class="n">m</span><span class="o">;</span><span class="n">q</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">d</span><span class="o">[</span><span class="n">k</span><span class="o">++]=</span><span class="n">c</span><span class="o">[</span><span class="n">q</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++实现</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span><span class="lnt">38
|
||
</span><span class="lnt">39
|
||
</span><span class="lnt">40
|
||
</span><span class="lnt">41
|
||
</span><span class="lnt">42
|
||
</span><span class="lnt">43
|
||
</span><span class="lnt">44
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">merge</span><span class="p">(</span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">>&</span> <span class="n">arr</span><span class="p">,</span><span class="kt">int</span> <span class="n">l</span><span class="p">,</span><span class="kt">int</span> <span class="n">mid</span><span class="p">,</span><span class="kt">int</span> <span class="n">r</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">index</span> <span class="o">=</span> <span class="mi">0</span> <span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">ptrL</span> <span class="o">=</span> <span class="n">l</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">ptrR</span> <span class="o">=</span> <span class="n">mid</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">static</span> <span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="n">tempary</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">arr</span><span class="p">.</span><span class="n">size</span><span class="p">()</span> <span class="o">></span> <span class="n">tempary</span><span class="p">.</span><span class="n">size</span><span class="p">())</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">tempary</span><span class="p">.</span><span class="n">resize</span><span class="p">(</span><span class="n">arr</span><span class="p">.</span><span class="n">size</span><span class="p">());</span><span class="c1">//更新缓存数组长度
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="p">(</span><span class="n">ptrL</span> <span class="o">!</span> <span class="o">=</span> <span class="n">mid</span> <span class="o">&&</span> <span class="n">ptrR</span> <span class="o">!</span> <span class="o">=</span> <span class="n">r</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">ptrL</span><span class="p">]</span> <span class="o"><</span> <span class="n">arr</span><span class="p">[</span><span class="n">ptrR</span><span class="p">])</span><span class="c1">//比较左右分组后数组长度
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">tempary</span><span class="p">[</span><span class="n">index</span><span class="o">++</span><span class="p">]</span> <span class="o">=</span> <span class="n">arr</span><span class="p">[</span><span class="n">ptrL</span><span class="o">++</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">else</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">tempary</span><span class="p">[</span><span class="n">index</span><span class="o">++</span><span class="p">]</span> <span class="o">=</span> <span class="n">arr</span><span class="p">[</span><span class="n">ptrR</span><span class="o">++</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="p">(</span><span class="n">ptrL</span> <span class="o">!</span> <span class="o">=</span> <span class="n">mid</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">tempary</span><span class="p">[</span><span class="n">index</span><span class="o">++</span><span class="p">]</span> <span class="o">=</span> <span class="n">arr</span><span class="p">[</span><span class="n">ptrL</span><span class="o">++</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="p">(</span><span class="n">ptrR</span> <span class="o">!</span> <span class="o">=</span> <span class="n">r</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">tempary</span><span class="p">[</span><span class="n">index</span><span class="o">++</span><span class="p">]</span> <span class="o">=</span> <span class="n">arr</span><span class="p">[</span><span class="n">ptrR</span><span class="o">++</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">copy</span><span class="p">(</span><span class="n">tempary</span><span class="p">.</span><span class="n">begin</span><span class="p">(),</span><span class="n">tempary</span><span class="p">.</span><span class="n">begin</span><span class="p">()</span><span class="o">+</span><span class="n">index</span><span class="p">,</span><span class="n">arr</span><span class="p">.</span><span class="n">begin</span><span class="p">()</span><span class="o">+</span><span class="n">l</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">mergeSort</span><span class="p">(</span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">>&</span> <span class="n">arr</span><span class="p">,</span><span class="kt">int</span> <span class="n">l</span><span class="p">,</span><span class="kt">int</span> <span class="n">r</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">r</span> <span class="o">-</span> <span class="n">l</span> <span class="o"><=</span> <span class="mi">1</span><span class="o">></span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">mid</span> <span class="o">=</span> <span class="p">(</span> <span class="n">l</span> <span class="o">+</span> <span class="n">r</span> <span class="p">)</span> <span class="o">/</span> <span class="mi">2</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">mergeSort</span><span class="p">(</span><span class="n">arr</span><span class="p">,</span><span class="n">l</span><span class="p">,</span><span class="n">mid</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">mergeSort</span><span class="p">(</span><span class="n">arr</span><span class="p">,</span><span class="n">mid</span><span class="p">,</span><span class="n">r</span><span class="p">);</span><span class="c1">//递归排序
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="n">merge</span><span class="p">(</span><span class="n">arr</span><span class="p">,</span><span class="n">l</span><span class="p">,</span><span class="n">mid</span><span class="p">,</span><span class="n">r</span><span class="p">);</span><span class="c1">//合并数组
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
<h4 id="快速排序"><a href="#快速排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>快速排序</h4>
|
||
<p>基本思想</p>
|
||
<p>对于输入的数组a[p:r]</p>
|
||
<ol>
|
||
<li>
|
||
<p>分解：以a[p]为基准元素将a[p:r]分为3段a[p:q-1],a[q]和a[q+1:r]
|
||
<br>使得a[p:q-1]中任何元素小于等于a[q]
|
||
<br>a[q+1:r]中任何元素大于等于a[q]</p>
|
||
</li>
|
||
<li>
|
||
<p>递归求解：通过递归调用排序算法，分别对q[p:q-1]和a[q+1:r]进行排序</p>
|
||
</li>
|
||
<li>
|
||
<p>合并：由于对a[p:q-1]和a[q+1:r]的排序是就地进行，所以在a[p:q-1]和a[q+1:r]完成排序后无需额外计算，a[p:r]的排序就已经完成</p>
|
||
</li>
|
||
</ol>
|
||
<p>JAVA实现</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"><span class="kd">public</span> <span class="kd">class</span> <span class="nc">qSort</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kd">static</span> <span class="kt">void</span> <span class="nf">qSort</span><span class="o">(</span><span class="kt">int</span> <span class="n">p</span><span class="o">,</span><span class="kt">int</span> <span class="n">r</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">p</span><span class="o"><</span><span class="n">r</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">q</span> <span class="o">=</span> <span class="n">partition</span><span class="o">(</span><span class="n">p</span><span class="o">,</span><span class="n">r</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">qSort</span><span class="o">(</span><span class="n">p</span><span class="o">,</span><span class="n">q</span><span class="o">-</span><span class="mi">1</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">qSort</span><span class="o">(</span><span class="n">q</span><span class="o">+</span><span class="mi">1</span><span class="o">,</span><span class="n">r</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kd">static</span> <span class="kt">int</span> <span class="nf">partition</span><span class="o">(</span><span class="kt">int</span> <span class="n">p</span><span class="o">,</span><span class="kt">int</span> <span class="n">r</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="n">p</span><span class="o">,</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">j</span><span class="o">=</span><span class="n">r</span><span class="o">+</span><span class="mi">1</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">Comparable</span> <span class="n">x</span> <span class="o">=</span> <span class="n">a</span><span class="o">[</span><span class="n">p</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//将<x的元素交换到左边区域
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="c1">//将>x的元素交换到右边区域
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="k">while</span><span class="o">(</span><span class="kc">true</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">(</span><span class="n">a</span><span class="o">[++</span><span class="n">i</span><span class="o">].</span><span class="na">compareTo</span><span class="o">(</span><span class="n">x</span><span class="o">)<</span><span class="mi">0</span><span class="o">&&</span><span class="n">i</span><span class="o"><</span><span class="n">r</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">(</span><span class="n">a</span><span class="o">[--</span><span class="n">j</span><span class="o">].</span><span class="na">compareTo</span><span class="o">(</span><span class="n">x</span><span class="o">)></span><span class="mi">0</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">i</span><span class="o">>=</span><span class="n">j</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">break</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">MyMath</span><span class="o">.</span><span class="na">swap</span><span class="o">(</span><span class="n">a</span><span class="o">,</span><span class="n">i</span><span class="o">,</span><span class="n">j</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">a</span><span class="o">[</span><span class="n">p</span><span class="o">]=</span><span class="n">a</span><span class="o">[</span><span class="n">j</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">a</span><span class="o">[</span><span class="n">j</span><span class="o">]=</span><span class="n">x</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">j</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++实现</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="n">Paritition1</span><span class="p">(</span><span class="kt">int</span> <span class="n">A</span><span class="p">[],</span><span class="kt">int</span> <span class="n">low</span><span class="p">,</span><span class="kt">int</span> <span class="n">high</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">pivot</span> <span class="o">=</span> <span class="n">A</span><span class="p">[</span><span class="n">low</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span> <span class="p">(</span><span class="n">low</span> <span class="o"><</span> <span class="n">high</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="p">(</span><span class="n">low</span> <span class="o"><</span> <span class="n">high</span> <span class="o">&&</span> <span class="n">A</span><span class="p">[</span><span class="n">high</span><span class="p">]</span> <span class="o">>=</span> <span class="n">pivot</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">--</span><span class="n">high</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">A</span><span class="p">[</span><span class="n">low</span><span class="p">]</span> <span class="o">=</span> <span class="n">A</span><span class="p">[</span><span class="n">high</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span> <span class="p">(</span><span class="n">low</span> <span class="o"><</span> <span class="n">high</span> <span class="o">&&</span> <span class="n">A</span><span class="p">[</span><span class="n">low</span><span class="p">]</span> <span class="o"><=</span> <span class="n">pivot</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">++</span><span class="n">low</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">A</span><span class="p">[</span><span class="n">low</span><span class="p">]</span> <span class="o">=</span> <span class="n">pivot</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">low</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">QuickSort</span><span class="p">(</span><span class="kt">int</span> <span class="n">A</span><span class="p">[],</span><span class="kt">int</span> <span class="n">low</span><span class="p">,</span><span class="kt">int</span> <span class="n">high</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">low</span><span class="o"><</span><span class="n">high</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">pivot</span> <span class="o">=</span> <span class="n">Paritition1</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">low</span><span class="p">,</span><span class="n">high</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">QuickSort</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">low</span><span class="p">,</span><span class="n">pivot</span> <span class="o">-</span> <span class="mi">1</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">QuickSort</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">pivot</span> <span class="o">+</span> <span class="mi">1</span><span class="err">，</span><span class="n">high</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
<h4 id="冒泡排序"><a href="#冒泡排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>冒泡排序</h4>
|
||
<p>主要思想：</p>
|
||
<ol>
|
||
<li>对一对相邻的元素比较，前者大于后者则交换它们</li>
|
||
<li>对数组中所有元素都做此操作，直到最后，最大的数会向泡泡一样冒到数组末尾</li>
|
||
<li>重复操作，每次都跳过上一次的最后一个元素,直到没有元素需要比较</li>
|
||
</ol>
|
||
<p>JAVA</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"><span class="kd">public</span> <span class="kd">class</span> <span class="nc">BubbleSort</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">sort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">sourceArray</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//复制到目标数组
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copyof</span><span class="o">(</span><span class="n">sourceArray</span><span class="o">,</span><span class="n">sourceArray</span><span class="o">.</span><span class="na">length</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">1</span><span class="o">;</span> <span class="n">i</span> <span class="o"><</span> <span class="n">arr</span><span class="o">.</span><span class="na">length</span><span class="o">;</span> <span class="n">i</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">boolean</span> <span class="n">flag</span> <span class="o">=</span><span class="kc">true</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span><span class="n">j</span> <span class="o"><</span> <span class="n">arr</span><span class="o">.</span><span class="na">length</span> <span class="o">-</span> <span class="n">i</span><span class="o">;</span><span class="n">j</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">]</span> <span class="o">></span> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="o">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">tmp</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">]</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="o">]</span> <span class="o">=</span> <span class="n">tmp</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="n">flag</span> <span class="o">=</span> <span class="kc">false</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">flag</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">break</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">BubbleSort</span><span class="p">(</span><span class="kt">int</span> <span class="n">arr</span><span class="p">[],</span><span class="kt">int</span> <span class="n">n</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span> <span class="p">;</span> <span class="n">i</span> <span class="o"><</span> <span class="n">n</span> <span class="o">-</span> <span class="mi">1</span><span class="p">;</span><span class="n">i</span><span class="o">++</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span><span class="n">j</span> <span class="o"><</span> <span class="n">n</span><span class="o">-</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">;</span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="c1">//比较大小
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="p">]</span><span class="o">></span><span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="p">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">temp</span> <span class="o">=</span> <span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="p">];</span><span class="c1">//交换位置
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="p">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span><span class="o">=</span><span class="n">temp</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
<h4 id="选择排序"><a href="#选择排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>选择排序</h4>
|
||
<p>主要思想</p>
|
||
<ol>
|
||
<li>在没排序的序列中找到最小的元素，存放到开始位置</li>
|
||
<li>在剩余元素中找到最小元素，存放到前一个元素的下一个位置</li>
|
||
<li>重复步骤直到完成</li>
|
||
</ol>
|
||
<p>JAVA</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"><span class="kd">public</span> <span class="kd">class</span> <span class="nc">SelectionSort</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">sort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">sourceArray</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//复制到目标数组
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copyof</span><span class="o">(</span><span class="n">sourceArray</span><span class="o">,</span><span class="n">sourceArray</span><span class="o">.</span><span class="na">length</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//计算比较次数
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span><span class="n">i</span> <span class="o"><</span> <span class="n">arr</span><span class="o">.</span><span class="na">length</span> <span class="o">-</span> <span class="mi">1</span><span class="o">;</span><span class="n">i</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">min</span> <span class="o">=</span> <span class="n">i</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span> <span class="o">(</span><span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="o">;</span><span class="n">j</span> <span class="o"><</span> <span class="n">arr</span><span class="o">.</span><span class="na">length</span><span class="o">;</span><span class="n">j</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">]</span> <span class="o"><</span> <span class="n">arr</span><span class="o">[</span><span class="n">min</span><span class="o">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//记录当前找到的最小元素的下标
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="n">min</span> <span class="o">=</span> <span class="n">j</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//将找到的最小值和i位置所在的值进行交换
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="k">if</span><span class="o">(</span><span class="n">i</span> <span class="o">!</span> <span class="o">=</span> <span class="n">min</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">tmp</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="n">i</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">i</span><span class="o">]</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="n">min</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">min</span><span class="o">]</span> <span class="o">=</span> <span class="n">tmp</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">selectSort</span><span class="p">(</span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">>&</span> <span class="n">nums</span><span class="p">,</span><span class="kt">int</span> <span class="n">n</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span> <span class="n">i</span> <span class="o"><</span> <span class="n">n</span><span class="p">;</span><span class="n">i</span><span class="o">++</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">min</span> <span class="o">=</span> <span class="n">i</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">;</span><span class="n">i</span> <span class="o"><</span> <span class="n">n</span><span class="p">;</span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="c1">//遍历取得最小值
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">nums</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="o"><</span> <span class="n">nums</span><span class="p">[</span><span class="n">min</span><span class="p">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">min</span> <span class="o">=</span> <span class="n">j</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">min</span> <span class="o">!=</span> <span class="n">i</span><span class="p">)</span> <span class="c1">//移动到末尾
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">tmp</span> <span class="o">=</span> <span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">nums</span><span class="p">[</span><span class="n">min</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">nums</span><span class="p">[</span><span class="n">min</span><span class="p">]</span> <span class="o">=</span> <span class="n">tmp</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
<h4 id="插入排序"><a href="#插入排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>插入排序</h4>
|
||
<ol>
|
||
<li>将第一个元素视为已排列的有序数组，之后的元素视为未排列的无序数组</li>
|
||
<li>从头到尾依次遍历未排序序列，将遍历到的元素插入到有序数组的适当位置</li>
|
||
</ol>
|
||
<p>JAVA</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"><span class="kd">public</span> <span class="kd">class</span> <span class="nc">InsertionSort</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">sort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">sourceArray</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//复制到目标数组
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copyof</span><span class="o">(</span><span class="n">sourceArray</span><span class="o">,</span><span class="n">sourceArray</span><span class="o">.</span><span class="na">length</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//从下标为1的元素开始遍历，寻找合适位置插入
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">1</span><span class="o">;</span> <span class="n">i</span> <span class="o"><</span> <span class="n">arr</span><span class="o">.</span><span class="na">length</span><span class="o">;</span><span class="n">i</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//缓存要插入的值
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="kt">int</span> <span class="n">tmp</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="n">i</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//依次与有序数列中的数比较，找到合适位置
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="n">i</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">(</span><span class="n">j</span><span class="o">></span><span class="mi">0</span> <span class="o">&&</span> <span class="n">tmp</span><span class="o"><</span><span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">-</span><span class="mi">1</span><span class="o">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">]</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">-</span><span class="mi">1</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">j</span><span class="o">--;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//插入
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="k">if</span><span class="o">(</span><span class="n">j</span> <span class="o">!=</span> <span class="n">i</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">]</span> <span class="o">=</span> <span class="n">tmp</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">InsertionSort</span><span class="p">(</span><span class="kt">int</span> <span class="n">A</span><span class="p">[],</span><span class="kt">int</span> <span class="n">n</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span><span class="o">=</span><span class="mi">1</span><span class="p">;</span><span class="n">i</span><span class="o"><</span><span class="n">n</span><span class="p">;</span><span class="n">i</span><span class="o">++</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">get</span> <span class="o">=</span> <span class="n">A</span><span class="p">[</span><span class="n">i</span><span class="p">];</span> <span class="c1">//缓存要排序的数
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span> <span class="p">(</span><span class="n">j</span><span class="o">>=</span><span class="mi">0</span> <span class="o">&&</span> <span class="n">A</span><span class="p">[</span><span class="n">j</span><span class="p">]</span><span class="o">></span><span class="n">get</span><span class="p">)</span><span class="c1">//与已排序的有序数组比较
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">A</span><span class="p">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span><span class="o">=</span><span class="n">A</span><span class="p">[</span><span class="n">j</span><span class="p">];</span><span class="c1">//如果该数更大则右移
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="n">j</span><span class="o">--</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">A</span><span class="p">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">get</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
<h4 id="希尔排序"><a href="#希尔排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>希尔排序</h4>
|
||
<ol>
|
||
<li>将整个待排列数组分为增量序列$t_1,t_2,\cdots,t_k且t_i>t_j,t_k=1$</li>
|
||
<li>按照增量序列的个数K，对序列进行k趟排序</li>
|
||
<li>每次排序时根据$t_i$的值将未排序序列分割为若干个长度为m的子序列，分别进行插入排序。当i为1时，整个序列视为一个表</li>
|
||
</ol>
|
||
<p>JAVA</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"><span class="kd">public</span> <span class="kd">class</span> <span class="nc">ShellSort</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">sort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">sourceArray</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//复制到目标数组
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copyof</span><span class="o">(</span><span class="n">sourceArray</span><span class="o">,</span><span class="n">sourceArray</span><span class="o">.</span><span class="na">length</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">gap</span> <span class="o">=</span><span class="mi">1</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">(</span><span class="n">gap</span> <span class="o"><</span> <span class="n">arr</span><span class="o">.</span><span class="na">length</span><span class="o">/</span><span class="mi">3</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">gap</span> <span class="o">=</span> <span class="n">gap</span> <span class="o">*</span> <span class="mi">3</span> <span class="o">+</span> <span class="mi">1</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">(</span><span class="n">gap</span> <span class="o">></span> <span class="mi">0</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span><span class="n">gap</span><span class="o">;</span> <span class="n">i</span><span class="o"><</span><span class="n">arr</span><span class="o">.</span><span class="na">length</span><span class="o">;</span><span class="n">i</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">tmp</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="n">i</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="n">i</span><span class="o">-</span><span class="n">gap</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">(</span><span class="n">j</span> <span class="o">>=</span> <span class="mi">0</span> <span class="o">&&</span> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">]></span><span class="n">tmp</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">+</span><span class="n">gap</span><span class="o">]=</span><span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">j</span><span class="o">-=</span><span class="n">gap</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">+</span><span class="n">gap</span><span class="o">]</span> <span class="o">=</span> <span class="n">tmp</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">gap</span> <span class="o">=</span> <span class="o">(</span><span class="kt">int</span><span class="o">)</span> <span class="n">Math</span><span class="o">.</span><span class="na">floor</span><span class="o">(</span><span class="n">gap</span><span class="o">/</span><span class="mi">3</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="k">const</span> <span class="kt">int</span> <span class="n">INCRGAP</span> <span class="o">=</span> <span class="mi">3</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">shellSort</span><span class="p">(</span><span class="kt">int</span> <span class="n">a</span><span class="p">[],</span><span class="kt">int</span> <span class="n">len</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">insertNum</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">unsigned</span> <span class="n">gap</span> <span class="o">=</span> <span class="n">len</span><span class="o">/</span><span class="n">INCRGAP</span> <span class="o">+</span> <span class="mi">1</span><span class="p">;</span><span class="c1">//初始化步长，应该确保步长为1
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="k">while</span><span class="p">(</span><span class="n">gap</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">unsigned</span> <span class="n">i</span> <span class="o">=</span> <span class="n">gap</span><span class="p">;</span><span class="n">i</span><span class="o"><</span><span class="n">len</span><span class="p">;</span><span class="o">++</span><span class="n">i</span><span class="p">)</span><span class="c1">//分组子序列
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">insertNum</span> <span class="o">=</span> <span class="n">a</span><span class="p">[</span><span class="n">i</span><span class="p">];</span><span class="c1">//缓存当前元素值
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="kt">unsigned</span> <span class="n">j</span> <span class="o">=</span> <span class="n">i</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="p">(</span><span class="n">j</span><span class="o">>=</span><span class="n">gap</span> <span class="o">&&</span> <span class="n">insertNum</span><span class="o"><</span> <span class="n">a</span><span class="p">[</span><span class="n">j</span><span class="o">-</span><span class="n">gap</span><span class="p">])</span><span class="c1">//寻找插入位置
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">a</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="n">a</span><span class="p">[</span><span class="n">j</span><span class="o">-</span><span class="n">gap</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">j</span> <span class="o">-=</span> <span class="n">gap</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">a</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="n">insertNum</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">gap</span> <span class="o">=</span> <span class="n">gap</span><span class="o">/</span><span class="n">INCRGAP</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
<h4 id="堆排序"><a href="#堆排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>堆排序</h4>
|
||
<ol>
|
||
<li>将要排序的数组构造为堆，根据升序或降序选择大顶堆或小顶堆</li>
|
||
<li>互换堆首和堆尾</li>
|
||
<li>将堆的尺寸缩小1，将新的数组顶点位置调整到对应位置</li>
|
||
<li>重复步骤2，直到堆的尺寸为1</li>
|
||
</ol>
|
||
<p>JAVA</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span><span class="lnt">38
|
||
</span><span class="lnt">39
|
||
</span><span class="lnt">40
|
||
</span><span class="lnt">41
|
||
</span><span class="lnt">42
|
||
</span><span class="lnt">43
|
||
</span><span class="lnt">44
|
||
</span><span class="lnt">45
|
||
</span><span class="lnt">46
|
||
</span><span class="lnt">47
|
||
</span><span class="lnt">48
|
||
</span><span class="lnt">49
|
||
</span><span class="lnt">50
|
||
</span><span class="lnt">51
|
||
</span><span class="lnt">52
|
||
</span><span class="lnt">53
|
||
</span><span class="lnt">54
|
||
</span><span class="lnt">55
|
||
</span><span class="lnt">56
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"><span class="kd">public</span> <span class="kd">class</span> <span class="nc">HeapSort</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">sort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">sourceArray</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copyof</span><span class="o">(</span><span class="n">sourceArray</span><span class="o">,</span><span class="n">sourceArray</span><span class="o">.</span><span class="na">length</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">len</span> <span class="o">=</span> <span class="n">arr</span><span class="o">.</span><span class="na">length</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="n">buildMaxHeap</span><span class="o">(</span><span class="n">arr</span><span class="o">,</span><span class="n">len</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="n">len</span> <span class="o">-</span> <span class="n">i</span><span class="o">;</span> <span class="n">i</span> <span class="o">></span> <span class="mi">0</span><span class="o">;</span><span class="n">i</span><span class="o">--)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">swap</span><span class="o">(</span><span class="n">arr</span><span class="o">,</span><span class="mi">0</span><span class="o">,</span><span class="n">i</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">len</span><span class="o">--;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">heapify</span><span class="o">(</span><span class="n">arr</span><span class="o">,</span><span class="mi">0</span><span class="o">,</span><span class="n">len</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">void</span> <span class="nf">buildMaxHeap</span><span class="o">(</span><span class="kt">int</span><span class="o">[],</span><span class="kt">int</span> <span class="n">len</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=(</span><span class="kt">int</span><span class="o">)</span> <span class="n">Math</span><span class="o">.</span><span class="na">floor</span><span class="o">(</span><span class="n">len</span><span class="o">/</span><span class="mi">2</span><span class="o">);</span><span class="n">i</span><span class="o">>=</span> <span class="mi">0</span><span class="o">;</span><span class="n">i</span><span class="o">--)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">heapify</span><span class="o">(</span><span class="n">arr</span><span class="o">,</span><span class="n">i</span><span class="o">,</span><span class="n">len</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">void</span> <span class="nf">heapify</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">,</span><span class="kt">int</span> <span class="n">i</span><span class="o">,</span><span class="kt">int</span> <span class="n">len</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">left</span> <span class="o">=</span><span class="mi">2</span> <span class="o">*</span> <span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">right</span> <span class="o">=</span> <span class="mi">2</span> <span class="o">*</span> <span class="n">i</span> <span class="o">+</span> <span class="mi">2</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">largest</span> <span class="o">=</span> <span class="n">i</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">left</span> <span class="o"><</span> <span class="n">len</span> <span class="o">&&</span> <span class="n">arr</span><span class="o">[</span><span class="n">left</span><span class="o">]></span><span class="n">arr</span><span class="o">[</span><span class="n">largest</span><span class="o">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">largest</span> <span class="o">=</span> <span class="n">left</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">right</span> <span class="o"><</span> <span class="n">len</span> <span class="o">&&</span> <span class="n">arr</span><span class="o">[</span><span class="n">right</span><span class="o">]></span> <span class="n">arr</span><span class="o">[</span><span class="n">largest</span><span class="o">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">largest</span> <span class="o">=</span> <span class="n">right</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">largest</span> <span class="o">!=</span><span class="n">i</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">swap</span><span class="o">(</span><span class="n">arr</span><span class="o">,</span><span class="n">i</span><span class="o">,</span><span class="n">largest</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">heapify</span><span class="o">(</span><span class="n">arr</span><span class="o">,</span><span class="n">largest</span><span class="o">,</span><span class="n">len</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">void</span> <span class="nf">swap</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">,</span><span class="kt">int</span> <span class="n">i</span><span class="o">,</span><span class="kt">int</span> <span class="n">j</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">temp</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="n">i</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">i</span><span class="o">]</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">]</span> <span class="o">=</span> <span class="n">temp</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span><span class="lnt">38
|
||
</span><span class="lnt">39
|
||
</span><span class="lnt">40
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">buildMaxHeap</span><span class="p">(</span><span class="kt">int</span> <span class="n">A</span><span class="p">[],</span><span class="kt">int</span> <span class="n">n</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span><span class="n">n</span><span class="o">/</span><span class="mi">2</span><span class="o">-</span><span class="mi">1</span><span class="p">;</span><span class="n">i</span> <span class="o">>=</span> <span class="mi">0</span><span class="p">;</span><span class="n">i</span><span class="o">--</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">maxHeapIfy</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">i</span><span class="p">,</span><span class="n">n</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">maxHeapIfy</span><span class="p">(</span><span class="kt">int</span> <span class="n">A</span><span class="p">[],</span><span class="kt">int</span> <span class="n">i</span><span class="p">,</span><span class="kt">int</span> <span class="n">n</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">l</span> <span class="o">=</span> <span class="mi">2</span> <span class="o">*</span> <span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">r</span> <span class="o">=</span> <span class="mi">2</span> <span class="o">*</span> <span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">largest</span> <span class="o">=</span> <span class="n">i</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">l</span><span class="o"><</span><span class="n">n</span> <span class="o">&&</span> <span class="n">A</span><span class="p">[</span><span class="n">l</span><span class="p">]</span><span class="o">></span><span class="n">A</span><span class="p">[</span><span class="n">largest</span><span class="p">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">largest</span> <span class="o">=</span> <span class="n">l</span> <span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">l</span><span class="o"><</span><span class="n">n</span> <span class="o">&&</span> <span class="n">A</span><span class="p">[</span><span class="n">r</span><span class="p">]</span><span class="o">></span><span class="n">A</span><span class="p">[</span><span class="n">largest</span><span class="p">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">largest</span> <span class="o">=</span> <span class="n">r</span> <span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">largest</span> <span class="o">!=</span> <span class="n">i</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">swap</span><span class="p">(</span><span class="n">A</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="n">A</span><span class="p">[</span><span class="n">largest</span><span class="p">]);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">maxHeapIfy</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">largest</span><span class="p">,</span><span class="n">n</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">heapSort</span><span class="p">(</span><span class="kt">int</span> <span class="n">A</span><span class="p">[],</span><span class="kt">int</span> <span class="n">n</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">buildMaxHeap</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="n">n</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">;</span><span class="n">i</span><span class="o">></span> <span class="mi">0</span> <span class="p">;</span><span class="n">i</span><span class="o">--</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">swap</span><span class="p">(</span><span class="n">A</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="n">A</span><span class="p">[</span><span class="n">i</span><span class="p">]);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">maxHeapIfy</span><span class="p">(</span><span class="n">A</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="n">i</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
<h4 id="计数排序"><a href="#计数排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>计数排序</h4>
|
||
<ol>
|
||
<li>找出待排序的数组中国最大和最小的元素，从而确定缓存数组的最大长度</li>
|
||
<li>根据每个值为i的元素出现的次数，存入缓存数组的第i项</li>
|
||
<li>累加所有计数</li>
|
||
<li>反向填充目标数组</li>
|
||
</ol>
|
||
<p>JAVA</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span><span class="lnt">38
|
||
</span><span class="lnt">39
|
||
</span><span class="lnt">40
|
||
</span><span class="lnt">41
|
||
</span><span class="lnt">42
|
||
</span><span class="lnt">43
|
||
</span><span class="lnt">44
|
||
</span><span class="lnt">45
|
||
</span><span class="lnt">46
|
||
</span><span class="lnt">47
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"><span class="kd">public</span> <span class="kd">class</span> <span class="nc">HeapSort</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">sort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">sourceArray</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copyof</span><span class="o">(</span><span class="n">sourceArray</span><span class="o">,</span><span class="n">sourceArray</span><span class="o">.</span><span class="na">length</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">maxValue</span> <span class="o">=</span> <span class="n">getMaxValue</span><span class="o">(</span><span class="n">arr</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">countingSort</span><span class="o">(</span><span class="n">arr</span><span class="o">,</span><span class="n">maxValue</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">countingSort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">,</span><span class="kt">int</span> <span class="n">maxValue</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">bucketLen</span> <span class="o">=</span> <span class="n">maxValue</span> <span class="o">+</span> <span class="mi">1</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span><span class="o">[]</span> <span class="n">bucket</span> <span class="o">=</span> <span class="k">new</span> <span class="kt">int</span><span class="o">[</span><span class="n">bucketLen</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">value</span> <span class="o">:</span><span class="n">arr</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">bucket</span><span class="o">[</span><span class="n">value</span><span class="o">]++;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">sortedIndex</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span> <span class="n">j</span> <span class="o"><</span> <span class="n">bucketLen</span><span class="o">;</span><span class="n">j</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="o">(</span><span class="n">bucket</span><span class="o">[</span><span class="n">j</span><span class="o">]></span><span class="mi">0</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">sortedIndex</span><span class="o">++]</span> <span class="o">=</span> <span class="n">j</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">bucket</span><span class="o">[</span><span class="n">j</span><span class="o">]--;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">int</span> <span class="nf">getMaxValue</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">maxValue</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="mi">0</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">value</span> <span class="o">:</span> <span class="n">arr</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">maxValue</span> <span class="o"><</span> <span class="n">value</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">maxValue</span> <span class="o">=</span> <span class="n">value</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">maxValue</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="cp">#include</span> <span class="cpf"><iostream></span><span class="cp">
|
||
</span></span></span><span class="line"><span class="cl"><span class="cp">#include</span> <span class="cpf"><algorithm></span><span class="cp">
|
||
</span></span></span><span class="line"><span class="cl"><span class="cp">#include</span> <span class="cpf"><vector></span><span class="cp">
|
||
</span></span></span><span class="line"><span class="cl"><span class="cp">#include</span> <span class="cpf"><string></span><span class="cp">
|
||
</span></span></span><span class="line"><span class="cl"><span class="cp">#include</span> <span class="cpf"><cstdlib></span><span class="cp">
|
||
</span></span></span><span class="line"><span class="cl"><span class="cp"></span><span class="k">using</span> <span class="k">namespace</span> <span class="n">std</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span> <span class="n">CountSort</span><span class="p">(</span><span class="k">const</span> <span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">>&</span> <span class="n">vec</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">length</span> <span class="o">=</span> <span class="n">vec</span><span class="p">.</span><span class="n">size</span><span class="p">();</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">length</span> <span class="o"><=</span> <span class="mi">1</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">vec</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">else</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">max</span> <span class="o">=</span> <span class="o">*</span><span class="n">max_element</span><span class="p">(</span><span class="n">vec</span><span class="p">.</span><span class="n">begin</span><span class="p">(),</span><span class="n">vec</span><span class="p">.</span><span class="n">end</span><span class="p">());</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">min</span> <span class="o">=</span> <span class="o">*</span><span class="n">min_element</span><span class="p">(</span><span class="n">vec</span><span class="p">.</span><span class="n">begin</span><span class="p">(),</span><span class="n">vec</span><span class="p">.</span><span class="n">end</span><span class="p">());</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span> <span class="n">countArray</span><span class="p">(</span><span class="n">max</span> <span class="o">-</span> <span class="n">min</span> <span class="o">+</span> <span class="mi">1</span><span class="p">,</span><span class="mi">0</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span><span class="n">i</span> <span class="o"><</span> <span class="n">length</span><span class="p">;</span><span class="n">i</span><span class="o">++</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">++</span><span class="n">countArray</span><span class="p">[</span><span class="n">vec</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">-</span> <span class="n">min</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span> <span class="n">sortArray</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span><span class="n">i</span> <span class="o"><</span> <span class="n">countArray</span><span class="p">.</span><span class="n">size</span><span class="p">();</span><span class="o">++</span><span class="n">i</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span><span class="n">j</span> <span class="o"><</span> <span class="n">countArray</span><span class="p">[</span><span class="n">i</span><span class="p">];</span><span class="o">++</span><span class="n">j</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">sortArray</span><span class="p">.</span><span class="n">push_back</span><span class="p">(</span><span class="n">min</span> <span class="o">+</span> <span class="n">i</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">sortArray</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
<h4 id="桶排序"><a href="#桶排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>桶排序</h4>
|
||
<ol>
|
||
<li>利用函数映射关系将待排序数组的元素分配到桶中</li>
|
||
<li>将元素在桶中排序</li>
|
||
</ol>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span><span class="lnt">38
|
||
</span><span class="lnt">39
|
||
</span><span class="lnt">40
|
||
</span><span class="lnt">41
|
||
</span><span class="lnt">42
|
||
</span><span class="lnt">43
|
||
</span><span class="lnt">44
|
||
</span><span class="lnt">45
|
||
</span><span class="lnt">46
|
||
</span><span class="lnt">47
|
||
</span><span class="lnt">48
|
||
</span><span class="lnt">49
|
||
</span><span class="lnt">50
|
||
</span><span class="lnt">51
|
||
</span><span class="lnt">52
|
||
</span><span class="lnt">53
|
||
</span><span class="lnt">54
|
||
</span><span class="lnt">55
|
||
</span><span class="lnt">56
|
||
</span><span class="lnt">57
|
||
</span><span class="lnt">58
|
||
</span><span class="lnt">59
|
||
</span><span class="lnt">60
|
||
</span><span class="lnt">61
|
||
</span><span class="lnt">62
|
||
</span><span class="lnt">63
|
||
</span><span class="lnt">64
|
||
</span><span class="lnt">65
|
||
</span><span class="lnt">66
|
||
</span><span class="lnt">67
|
||
</span><span class="lnt">68
|
||
</span><span class="lnt">69
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"><span class="kd">public</span> <span class="kd">class</span> <span class="nc">BuckSort</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kd">static</span> <span class="kd">final</span> <span class="n">InserSort</span> <span class="n">insertSort</span> <span class="o">=</span> <span class="k">new</span> <span class="n">InsertSort</span><span class="o">();</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">sort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">sourceArray</span><span class="o">)</span> <span class="kd">throws</span> <span class="n">Exception</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copy0f</span><span class="o">(</span><span class="n">sourceArray</span><span class="o">,</span><span class="n">sourceArray</span><span class="o">.</span><span class="na">length</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">bucketSort</span><span class="o">(</span><span class="n">Arr</span><span class="o">,</span><span class="mi">5</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">bucketSort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">,</span><span class="kt">int</span> <span class="n">bucketSize</span><span class="o">)</span> <span class="kd">throws</span> <span class="n">Exception</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">arr</span><span class="o">.</span><span class="na">length</span> <span class="o">==</span> <span class="mi">0</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">minValue</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="mi">0</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">maxValue</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="mi">0</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">value</span> <span class="o">:</span> <span class="n">arr</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">value</span> <span class="o"><</span> <span class="n">minValue</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">minValue</span> <span class="o">=</span> <span class="n">value</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">else</span> <span class="k">if</span><span class="o">(</span><span class="n">value</span> <span class="o">></span> <span class="n">maxValue</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">maxValue</span> <span class="o">=</span> <span class="n">value</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">bucketCount</span> <span class="o">=</span> <span class="o">(</span><span class="kt">int</span><span class="o">)</span> <span class="n">Math</span><span class="o">.</span><span class="na">floor</span><span class="o">((</span><span class="n">maxValue</span> <span class="o">-</span> <span class="n">minValue</span><span class="o">)/</span><span class="n">bucketSize</span><span class="o">)</span> <span class="o">+</span> <span class="mi">1</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span><span class="o">[][]</span> <span class="n">buckets</span> <span class="o">=</span> <span class="k">new</span> <span class="kt">int</span><span class="o">[</span><span class="n">bucketCount</span><span class="o">][</span><span class="mi">0</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span><span class="n">i</span> <span class="o"><</span> <span class="n">arr</span><span class="o">.</span><span class="na">length</span><span class="o">;</span><span class="n">i</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">index</span> <span class="o">=</span> <span class="o">(</span><span class="kt">int</span><span class="o">)</span><span class="n">Math</span><span class="o">.</span><span class="na">floor</span><span class="o">((</span><span class="n">arr</span><span class="o">[</span><span class="n">i</span><span class="o">]-</span><span class="n">minValue</span><span class="o">)/</span><span class="n">bucketSize</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">buckets</span><span class="o">[</span><span class="n">index</span><span class="o">]</span> <span class="o">=</span> <span class="n">arrAppend</span><span class="o">(</span><span class="n">buckets</span><span class="o">[</span><span class="n">index</span><span class="o">],</span><span class="n">arr</span><span class="o">[</span><span class="n">i</span><span class="o">]);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">arrIndex</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">bucket</span> <span class="o">:</span> <span class="n">buckets</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">buckets</span><span class="o">.</span><span class="na">length</span> <span class="o"><=</span> <span class="mi">0</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">continue</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="n">bucket</span> <span class="o">=</span> <span class="n">insertSort</span><span class="o">.</span><span class="na">sort</span><span class="o">(</span><span class="n">bucket</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">value</span> <span class="o">:</span> <span class="n">bucket</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">arrIndex</span><span class="o">++]</span> <span class="o">=</span> <span class="n">value</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="cm">/*自动扩容桶的数量*/</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">arrAppend</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">,</span><span class="kt">int</span> <span class="n">value</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copy0f</span><span class="o">(</span><span class="n">arr</span><span class="o">,</span><span class="n">arr</span><span class="o">.</span><span class="na">length</span><span class="o">+</span><span class="mi">1</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">arr</span><span class="o">.</span><span class="na">length</span> <span class="o">-</span> <span class="mi">1</span><span class="o">]</span> <span class="o">=</span> <span class="n">value</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span><span class="lnt">38
|
||
</span><span class="lnt">39
|
||
</span><span class="lnt">40
|
||
</span><span class="lnt">41
|
||
</span><span class="lnt">42
|
||
</span><span class="lnt">43
|
||
</span><span class="lnt">44
|
||
</span><span class="lnt">45
|
||
</span><span class="lnt">46
|
||
</span><span class="lnt">47
|
||
</span><span class="lnt">48
|
||
</span><span class="lnt">49
|
||
</span><span class="lnt">50
|
||
</span><span class="lnt">51
|
||
</span><span class="lnt">52
|
||
</span><span class="lnt">53
|
||
</span><span class="lnt">54
|
||
</span><span class="lnt">55
|
||
</span><span class="lnt">56
|
||
</span><span class="lnt">57
|
||
</span><span class="lnt">58
|
||
</span><span class="lnt">59
|
||
</span><span class="lnt">60
|
||
</span><span class="lnt">61
|
||
</span><span class="lnt">62
|
||
</span><span class="lnt">63
|
||
</span><span class="lnt">64
|
||
</span><span class="lnt">65
|
||
</span><span class="lnt">66
|
||
</span><span class="lnt">67
|
||
</span><span class="lnt">68
|
||
</span><span class="lnt">69
|
||
</span><span class="lnt">70
|
||
</span><span class="lnt">71
|
||
</span><span class="lnt">72
|
||
</span><span class="lnt">73
|
||
</span><span class="lnt">74
|
||
</span><span class="lnt">75
|
||
</span><span class="lnt">76
|
||
</span><span class="lnt">77
|
||
</span><span class="lnt">78
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="cp">#include</span> <span class="cpf"><iterator></span><span class="cp">
|
||
</span></span></span><span class="line"><span class="cl"><span class="cp">#include</span> <span class="cpf"><iostream></span><span class="cp">
|
||
</span></span></span><span class="line"><span class="cl"><span class="cp">#include</span> <span class="cpf"><vector></span><span class="cp">
|
||
</span></span></span><span class="line"><span class="cl"><span class="cp"></span><span class="k">using</span> <span class="k">namespace</span> <span class="n">std</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"><span class="k">const</span> <span class="kt">int</span> <span class="n">BUCKET_NUM</span> <span class="o">=</span> <span class="mi">10</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="k">struct</span> <span class="nc">ListNode</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">explicit</span> <span class="nf">ListNode</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="p">)</span><span class="o">:</span><span class="n">mData</span><span class="p">(</span><span class="n">i</span><span class="p">),</span><span class="n">mNext</span><span class="p">(</span><span class="nb">NULL</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">ListNode</span><span class="o">*</span> <span class="n">mNext</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">mData</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">};</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="n">ListNode</span><span class="o">*</span> <span class="nf">insert</span><span class="p">(</span><span class="n">ListNode</span><span class="o">*</span> <span class="n">head</span><span class="p">,</span><span class="kt">int</span> <span class="n">val</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">ListNode</span> <span class="n">dummyNode</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">ListNode</span> <span class="o">*</span><span class="n">newNode</span> <span class="o">=</span> <span class="k">new</span> <span class="n">ListNode</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">ListNode</span> <span class="o">*</span><span class="n">pre</span><span class="p">,</span><span class="o">*</span><span class="n">curr</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">dummyNode</span><span class="p">.</span><span class="n">mNext</span> <span class="o">=</span> <span class="n">head</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">pre</span> <span class="o">=</span> <span class="o">&</span><span class="n">dummyNode</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">curr</span> <span class="o">=</span> <span class="n">head</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="p">(</span><span class="nb">NULL</span><span class="o">!=</span><span class="n">curr</span> <span class="o">&&</span> <span class="n">curr</span><span class="o">-></span><span class="n">mData</span><span class="o"><=</span><span class="n">val</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">pre</span> <span class="o">=</span> <span class="n">curr</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">curr</span> <span class="o">=</span> <span class="n">curr</span><span class="o">-></span><span class="n">mNext</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">newNode</span><span class="o">-></span><span class="n">mNext</span> <span class="o">=</span> <span class="n">curr</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">pre</span><span class="o">-></span><span class="n">mNext</span> <span class="o">=</span> <span class="n">newNode</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">dummyNode</span><span class="p">.</span><span class="n">mNext</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="n">ListNode</span><span class="o">*</span> <span class="nf">Merge</span><span class="p">(</span><span class="n">ListNode</span> <span class="o">*</span><span class="n">head1</span><span class="p">,</span><span class="n">ListNode</span> <span class="o">*</span><span class="n">head2</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">ListNode</span> <span class="n">dummyNode</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">ListNode</span> <span class="o">*</span><span class="n">dummy</span> <span class="o">=</span> <span class="o">&</span><span class="n">dummyNode</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span><span class="p">(</span><span class="nb">NULL</span><span class="o">!=</span><span class="n">head1</span> <span class="o">&&</span> <span class="nb">NULL</span><span class="o">!=</span> <span class="n">head2</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">head1</span><span class="o">-></span><span class="n">mData</span> <span class="o"><=</span> <span class="n">head2</span><span class="o">-></span><span class="n">mData</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">dummy</span><span class="o">-></span><span class="n">mNext</span> <span class="o">=</span> <span class="n">head1</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">head1</span> <span class="o">=</span> <span class="n">head1</span><span class="o">-></span><span class="n">mNext</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">else</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">dummy</span><span class="o">-></span><span class="n">mNext</span> <span class="o">=</span> <span class="n">head2</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">head2</span> <span class="o">=</span> <span class="n">head2</span> <span class="o">-></span><span class="n">mNext</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">dummy</span> <span class="o">=</span> <span class="n">dummy</span> <span class="o">-></span><span class="n">mNext</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="nb">NULL</span><span class="o">!=</span><span class="n">head1</span><span class="p">)</span> <span class="n">dummy</span><span class="o">-></span><span class="n">mNext</span> <span class="o">=</span> <span class="n">head1</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="nb">NULL</span><span class="o">!=</span><span class="n">head2</span><span class="p">)</span> <span class="n">dummy</span><span class="o">-></span><span class="n">mNext</span> <span class="o">=</span> <span class="n">head2</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">dummyNode</span><span class="p">.</span><span class="n">mNext</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">BuckSort</span><span class="p">(</span><span class="kt">int</span> <span class="n">n</span><span class="p">,</span><span class="kt">int</span> <span class="n">arr</span><span class="p">[])</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">vector</span><span class="o"><</span><span class="n">ListNode</span><span class="o">*></span> <span class="n">buckets</span><span class="p">(</span><span class="n">BUCKET_NUM</span><span class="p">,(</span><span class="n">ListNode</span><span class="o">*</span><span class="p">)(</span><span class="mi">0</span><span class="p">));</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span><span class="o">=</span><span class="mi">0</span><span class="p">;</span><span class="n">i</span><span class="o"><</span><span class="n">n</span><span class="p">;</span><span class="o">++</span><span class="n">i</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">index</span> <span class="o">=</span> <span class="n">arr</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">/</span><span class="n">BUCKET_NUM</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">ListNode</span> <span class="o">*</span><span class="n">head</span> <span class="o">=</span> <span class="n">buckets</span><span class="p">.</span><span class="n">at</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">buckets</span><span class="p">.</span><span class="n">at</span><span class="p">(</span><span class="n">index</span><span class="p">)</span><span class="o">=</span><span class="n">insert</span><span class="p">(</span><span class="n">head</span><span class="p">,</span><span class="n">arr</span><span class="p">[</span><span class="n">i</span><span class="p">]);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="n">ListNode</span> <span class="o">*</span><span class="n">head</span> <span class="o">=</span> <span class="n">buckets</span><span class="p">.</span><span class="n">at</span><span class="p">(</span><span class="mi">0</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span><span class="o">=</span><span class="mi">1</span><span class="p">;</span><span class="n">i</span><span class="o"><</span><span class="n">BUCKET_NUM</span><span class="p">;</span><span class="o">++</span><span class="n">i</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">head</span> <span class="o">=</span> <span class="n">Merge</span><span class="p">(</span><span class="n">head</span><span class="p">,</span><span class="n">buckets</span><span class="p">.</span><span class="n">at</span><span class="p">(</span><span class="n">i</span><span class="p">));</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span><span class="o">=</span><span class="mi">0</span><span class="p">;</span><span class="n">i</span><span class="o"><</span><span class="n">n</span><span class="p">;</span><span class="o">++</span><span class="n">i</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">head</span><span class="o">-></span><span class="n">mData</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">head</span> <span class="o">=</span> <span class="n">head</span><span class="o">-></span><span class="n">mNext</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
<h4 id="基数排序"><a href="#基数排序" class="anchor-link"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon anchor-icon"><path d="M326.612 185.391c59.747 59.809 58.927 155.698.36 214.59-.11.12-.24.25-.36.37l-67.2 67.2c-59.27 59.27-155.699 59.262-214.96 0-59.27-59.26-59.27-155.7 0-214.96l37.106-37.106c9.84-9.84 26.786-3.3 27.294 10.606.648 17.722 3.826 35.527 9.69 52.721 1.986 5.822.567 12.262-3.783 16.612l-13.087 13.087c-28.026 28.026-28.905 73.66-1.155 101.96 28.024 28.579 74.086 28.749 102.325.51l67.2-67.19c28.191-28.191 28.073-73.757 0-101.83-3.701-3.694-7.429-6.564-10.341-8.569a16.037 16.037 0 0 1-6.947-12.606c-.396-10.567 3.348-21.456 11.698-29.806l21.054-21.055c5.521-5.521 14.182-6.199 20.584-1.731a152.482 152.482 0 0 1 20.522 17.197zM467.547 44.449c-59.261-59.262-155.69-59.27-214.96 0l-67.2 67.2c-.12.12-.25.25-.36.37-58.566 58.892-59.387 154.781.36 214.59a152.454 152.454 0 0 0 20.521 17.196c6.402 4.468 15.064 3.789 20.584-1.731l21.054-21.055c8.35-8.35 12.094-19.239 11.698-29.806a16.037 16.037 0 0 0-6.947-12.606c-2.912-2.005-6.64-4.875-10.341-8.569-28.073-28.073-28.191-73.639 0-101.83l67.2-67.19c28.239-28.239 74.3-28.069 102.325.51 27.75 28.3 26.872 73.934-1.155 101.96l-13.087 13.087c-4.35 4.35-5.769 10.79-3.783 16.612 5.864 17.194 9.042 34.999 9.69 52.721.509 13.906 17.454 20.446 27.294 10.606l37.106-37.106c59.271-59.259 59.271-155.699.001-214.959z"/></svg></a>基数排序</h4>
|
||
<p>将整数按位数分割为不同数字，按各位数比较大小</p>
|
||
<p>在桶的分配方式上根据键值的每位数字来分配桶</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span><span class="lnt">38
|
||
</span><span class="lnt">39
|
||
</span><span class="lnt">40
|
||
</span><span class="lnt">41
|
||
</span><span class="lnt">42
|
||
</span><span class="lnt">43
|
||
</span><span class="lnt">44
|
||
</span><span class="lnt">45
|
||
</span><span class="lnt">46
|
||
</span><span class="lnt">47
|
||
</span><span class="lnt">48
|
||
</span><span class="lnt">49
|
||
</span><span class="lnt">50
|
||
</span><span class="lnt">51
|
||
</span><span class="lnt">52
|
||
</span><span class="lnt">53
|
||
</span><span class="lnt">54
|
||
</span><span class="lnt">55
|
||
</span><span class="lnt">56
|
||
</span><span class="lnt">57
|
||
</span><span class="lnt">58
|
||
</span><span class="lnt">59
|
||
</span><span class="lnt">60
|
||
</span><span class="lnt">61
|
||
</span><span class="lnt">62
|
||
</span><span class="lnt">63
|
||
</span><span class="lnt">64
|
||
</span><span class="lnt">65
|
||
</span><span class="lnt">66
|
||
</span><span class="lnt">67
|
||
</span><span class="lnt">68
|
||
</span><span class="lnt">69
|
||
</span><span class="lnt">70
|
||
</span><span class="lnt">71
|
||
</span><span class="lnt">72
|
||
</span><span class="lnt">73
|
||
</span><span class="lnt">74
|
||
</span><span class="lnt">75
|
||
</span><span class="lnt">76
|
||
</span><span class="lnt">77
|
||
</span><span class="lnt">78
|
||
</span><span class="lnt">79
|
||
</span><span class="lnt">80
|
||
</span><span class="lnt">81
|
||
</span><span class="lnt">82
|
||
</span><span class="lnt">83
|
||
</span><span class="lnt">84
|
||
</span><span class="lnt">85
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-java" data-lang="java"><span class="line"><span class="cl"><span class="kd">public</span> <span class="kd">class</span> <span class="nc">RadixSort</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">public</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">sort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">sourceArray</span><span class="o">)</span> <span class="kd">throws</span> <span class="n">Exception</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copy0f</span><span class="o">(</span><span class="n">sourceArray</span><span class="o">,</span><span class="n">sourceArray</span><span class="o">.</span><span class="na">length</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">maxDigit</span> <span class="o">=</span> <span class="n">getMaxDigit</span><span class="o">(</span><span class="n">arr</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">radixSort</span><span class="o">(</span><span class="n">arr</span><span class="o">,</span><span class="n">maxDigit</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="cm">/*
|
||
</span></span></span><span class="line"><span class="cl"><span class="cm"> 获取最高位数
|
||
</span></span></span><span class="line"><span class="cl"><span class="cm"> */</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">int</span> <span class="nf">getMaxDigit</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">maxValue</span> <span class="o">=</span> <span class="n">getMaxValue</span><span class="o">(</span><span class="n">arr</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">getNumLenght</span><span class="o">(</span><span class="n">maxValue</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">int</span> <span class="nf">getMaxValue</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">maxValue</span> <span class="o">=</span> <span class="n">arr</span><span class="o">[</span><span class="mi">0</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">value</span> <span class="o">:</span> <span class="n">arr</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">maxValue</span> <span class="o"><</span> <span class="n">value</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">maxValue</span> <span class="o">=</span> <span class="n">value</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">maxValue</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">int</span> <span class="nf">getNumLenght</span><span class="o">(</span><span class="kt">long</span> <span class="n">num</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="o">(</span><span class="n">num</span> <span class="o">==</span> <span class="mi">0</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="mi">1</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">length</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">long</span> <span class="n">temp</span> <span class="o">=</span> <span class="n">num</span><span class="o">;</span><span class="n">temp</span> <span class="o">!=</span><span class="mi">0</span><span class="o">;</span><span class="n">temp</span><span class="o">/=</span><span class="mi">10</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">lenght</span><span class="o">++;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">lenght</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">radixSort</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">,</span><span class="kt">int</span> <span class="n">maxDigit</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">mod</span> <span class="o">=</span><span class="mi">10</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">dev</span> <span class="o">=</span><span class="mi">1</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span><span class="n">i</span> <span class="o"><</span> <span class="n">maxDigit</span><span class="o">;</span><span class="n">i</span><span class="o">++,</span><span class="n">dev</span><span class="o">*=</span><span class="mi">10</span><span class="o">,</span><span class="n">mod</span> <span class="o">*=</span> <span class="mi">10</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span><span class="o">[][]</span> <span class="n">counter</span> <span class="o">=</span> <span class="k">new</span> <span class="kt">int</span><span class="o">[</span><span class="n">mod</span> <span class="o">*</span> <span class="mi">2</span><span class="o">][</span><span class="mi">0</span><span class="o">];</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">j</span><span class="o">=</span> <span class="mi">0</span><span class="o">;</span><span class="n">j</span><span class="o"><</span><span class="n">arr</span><span class="o">.</span><span class="na">length</span><span class="o">;</span><span class="n">j</span><span class="o">++)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">bucket</span> <span class="o">=</span> <span class="o">((</span><span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">]%</span><span class="n">mod</span><span class="o">)/</span><span class="n">dev</span><span class="o">)+</span><span class="n">mod</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">counter</span><span class="o">[</span><span class="n">bucket</span><span class="o">]</span> <span class="o">=</span> <span class="n">arrAppend</span><span class="o">(</span><span class="n">counter</span><span class="o">[</span><span class="n">bucket</span><span class="o">],</span><span class="n">arr</span><span class="o">[</span><span class="n">j</span><span class="o">]);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">pos</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">bucke</span><span class="o">:</span><span class="n">counter</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="o">(</span><span class="kt">int</span> <span class="n">value</span> <span class="o">:</span><span class="n">bucket</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">pos</span><span class="o">++]</span> <span class="o">=</span> <span class="n">value</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="c1">//自动扩容
|
||
</span></span></span><span class="line"><span class="cl"><span class="c1"></span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kd">private</span> <span class="kt">int</span><span class="o">[]</span> <span class="nf">arrAppend</span><span class="o">(</span><span class="kt">int</span><span class="o">[]</span> <span class="n">arr</span><span class="o">,</span><span class="kt">int</span> <span class="n">value</span><span class="o">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span> <span class="o">=</span> <span class="n">Arrays</span><span class="o">.</span><span class="na">copy0f</span><span class="o">(</span><span class="n">arr</span><span class="o">.</span><span class="na">length</span> <span class="o">+</span> <span class="mi">1</span><span class="o">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">arr</span><span class="o">[</span><span class="n">arr</span><span class="o">.</span><span class="na">length</span> <span class="o">-</span> <span class="mi">1</span><span class="o">]</span> <span class="o">=</span> <span class="n">value</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">arr</span><span class="o">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">}</span>
|
||
</span></span><span class="line"><span class="cl"><span class="o">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><p>C++</p>
|
||
<div class="highlight"><div class="chroma">
|
||
<div class="table-container"><table class="lntable"><tr><td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code><span class="lnt"> 1
|
||
</span><span class="lnt"> 2
|
||
</span><span class="lnt"> 3
|
||
</span><span class="lnt"> 4
|
||
</span><span class="lnt"> 5
|
||
</span><span class="lnt"> 6
|
||
</span><span class="lnt"> 7
|
||
</span><span class="lnt"> 8
|
||
</span><span class="lnt"> 9
|
||
</span><span class="lnt">10
|
||
</span><span class="lnt">11
|
||
</span><span class="lnt">12
|
||
</span><span class="lnt">13
|
||
</span><span class="lnt">14
|
||
</span><span class="lnt">15
|
||
</span><span class="lnt">16
|
||
</span><span class="lnt">17
|
||
</span><span class="lnt">18
|
||
</span><span class="lnt">19
|
||
</span><span class="lnt">20
|
||
</span><span class="lnt">21
|
||
</span><span class="lnt">22
|
||
</span><span class="lnt">23
|
||
</span><span class="lnt">24
|
||
</span><span class="lnt">25
|
||
</span><span class="lnt">26
|
||
</span><span class="lnt">27
|
||
</span><span class="lnt">28
|
||
</span><span class="lnt">29
|
||
</span><span class="lnt">30
|
||
</span><span class="lnt">31
|
||
</span><span class="lnt">32
|
||
</span><span class="lnt">33
|
||
</span><span class="lnt">34
|
||
</span><span class="lnt">35
|
||
</span><span class="lnt">36
|
||
</span><span class="lnt">37
|
||
</span><span class="lnt">38
|
||
</span><span class="lnt">39
|
||
</span><span class="lnt">40
|
||
</span><span class="lnt">41
|
||
</span><span class="lnt">42
|
||
</span><span class="lnt">43
|
||
</span><span class="lnt">44
|
||
</span><span class="lnt">45
|
||
</span><span class="lnt">46
|
||
</span><span class="lnt">47
|
||
</span><span class="lnt">48
|
||
</span><span class="lnt">49
|
||
</span><span class="lnt">50
|
||
</span><span class="lnt">51
|
||
</span><span class="lnt">52
|
||
</span><span class="lnt">53
|
||
</span><span class="lnt">54
|
||
</span><span class="lnt">55
|
||
</span><span class="lnt">56
|
||
</span><span class="lnt">57
|
||
</span><span class="lnt">58
|
||
</span><span class="lnt">59
|
||
</span><span class="lnt">60
|
||
</span><span class="lnt">61
|
||
</span></code></pre></td>
|
||
<td class="lntd">
|
||
<pre tabindex="0" class="chroma"><code class="language-c++" data-lang="c++"><span class="line"><span class="cl"><span class="kt">int</span> <span class="nf">maxbit</span><span class="p">(</span><span class="kt">int</span> <span class="n">data</span><span class="p">[],</span><span class="kt">int</span> <span class="n">n</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">maxData</span> <span class="o">=</span> <span class="n">data</span><span class="p">[</span><span class="mi">0</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">1</span><span class="p">;</span><span class="n">i</span><span class="o"><</span> <span class="n">n</span><span class="p">;</span><span class="o">++</span><span class="n">i</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">if</span><span class="p">(</span><span class="n">maxData</span> <span class="o"><</span> <span class="n">data</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">maxData</span> <span class="o">=</span> <span class="n">data</span><span class="p">[</span><span class="n">i</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">d</span> <span class="o">=</span> <span class="mi">1</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">p</span> <span class="o">=</span> <span class="mi">10</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">while</span> <span class="p">(</span><span class="n">maxDate</span> <span class="o">>=</span> <span class="n">p</span> <span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">maxData</span> <span class="o">/=</span> <span class="mi">10</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="o">++</span><span class="n">d</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">return</span> <span class="n">d</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"><span class="kt">void</span> <span class="nf">radixSort</span><span class="p">(</span><span class="kt">int</span> <span class="n">data</span><span class="p">[],</span><span class="kt">int</span> <span class="n">n</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">d</span> <span class="o">=</span> <span class="n">maxbit</span><span class="p">(</span><span class="n">data</span><span class="p">,</span><span class="n">n</span><span class="p">);</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="o">*</span><span class="n">tmp</span> <span class="o">=</span> <span class="k">new</span> <span class="kt">int</span><span class="p">[</span><span class="n">n</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="o">*</span><span class="n">count</span> <span class="o">=</span> <span class="k">new</span> <span class="kt">int</span><span class="p">[</span><span class="n">n</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span><span class="p">,</span><span class="n">k</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="kt">int</span> <span class="n">radix</span> <span class="o">=</span> <span class="mi">1</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="n">i</span> <span class="o">=</span> <span class="mi">1</span><span class="p">;</span><span class="n">i</span> <span class="o"><=</span> <span class="n">d</span><span class="p">;</span><span class="n">i</span><span class="o">++</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="n">j</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span><span class="n">j</span> <span class="o"><</span> <span class="mi">10</span><span class="p">;</span><span class="n">j</span><span class="o">++</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">count</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="n">j</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span><span class="n">j</span> <span class="o"><</span> <span class="n">n</span><span class="p">;</span><span class="n">j</span><span class="o">++</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">k</span> <span class="o">=</span> <span class="p">(</span><span class="n">data</span><span class="p">[</span><span class="n">j</span><span class="p">]</span><span class="o">/</span><span class="n">radix</span><span class="p">)</span> <span class="o">%</span> <span class="mi">10</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">count</span><span class="p">[</span><span class="n">k</span><span class="p">]</span><span class="o">++</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="n">j</span> <span class="o">=</span> <span class="mi">1</span><span class="p">;</span><span class="n">j</span> <span class="o"><</span> <span class="mi">10</span><span class="p">;</span><span class="n">j</span><span class="o">++</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">count</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="n">count</span><span class="p">[</span><span class="n">j</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span><span class="o">+</span><span class="n">count</span><span class="p">[</span><span class="n">j</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="n">j</span> <span class="o">=</span> <span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">;</span><span class="n">j</span><span class="o">>=</span> <span class="mi">0</span> <span class="p">;</span><span class="n">j</span><span class="o">--</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">k</span> <span class="o">=</span> <span class="p">(</span><span class="n">data</span><span class="p">[</span><span class="n">j</span><span class="p">]</span><span class="o">/</span><span class="n">radix</span><span class="p">)</span> <span class="o">%</span> <span class="mi">10</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">tmp</span><span class="p">[</span><span class="n">count</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">data</span><span class="p">[</span><span class="n">j</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">count</span><span class="p">[</span><span class="n">k</span><span class="p">]</span><span class="o">--</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">for</span><span class="p">(</span><span class="n">j</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span><span class="n">j</span> <span class="o"><</span> <span class="n">n</span><span class="p">;</span><span class="n">j</span><span class="o">++</span><span class="p">)</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">{</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">data</span><span class="p">[</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="n">tmp</span><span class="p">[</span><span class="n">j</span><span class="p">];</span>
|
||
</span></span><span class="line"><span class="cl">
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="n">radix</span> <span class="o">=</span> <span class="n">radix</span> <span class="o">*</span> <span class="mi">10</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="p">}</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">delete</span> <span class="p">[]</span><span class="n">tmp</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"> <span class="k">delete</span> <span class="p">[]</span><span class="n">count</span><span class="p">;</span>
|
||
</span></span><span class="line"><span class="cl"><span class="p">}</span>
|
||
</span></span></code></pre></td></tr></table></div>
|
||
</div>
|
||
</div><hr>
|
||
|
||
</div>
|
||
|
||
|
||
|
||
|
||
</article>
|
||
|
||
|
||
|
||
|
||
<div class="updated-badge-container">
|
||
<span title="Updated @ 2023-06-18 21:19:01 CST" style="cursor:help">
|
||
|
||
<svg xmlns="http://www.w3.org/2000/svg" width="130" height="20" class="updated-badge"><linearGradient id="b" x2="0" y2="100%"><stop offset="0" stop-color="#bbb" stop-opacity=".1"/><stop offset="1" stop-opacity=".1"/></linearGradient><clipPath id="a"><rect width="130" height="20" rx="3" fill="#fff"/></clipPath><g clip-path="url(#a)"><path class="updated-badge-left" d="M0 0h55v20H0z"/><path class="updated-badge-right" d="M55 0h75v20H55z"/><path fill="url(#b)" d="M0 0h130v20H0z"/></g><g fill="#fff" text-anchor="middle" font-size="110"><text x="285" y="150" fill="#010101" fill-opacity=".3" textLength="450" transform="scale(.1)">updated</text><text x="285" y="140" textLength="450" transform="scale(.1)">updated</text><text x="915" y="150" fill="#010101" fill-opacity=".3" textLength="650" transform="scale(.1)">2023-06-18</text><text x="915" y="140" textLength="650" transform="scale(.1)">2023-06-18</text></g></svg>
|
||
</span></div>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<ul class="post-nav">
|
||
|
||
|
||
<li class="post-nav-next">
|
||
<a href="/algorithm/%E9%80%92%E5%BD%92/" rel="next">递归 ></a>
|
||
</li>
|
||
|
||
</ul>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</div>
|
||
</main>
|
||
|
||
|
||
|
||
<div id="back-to-top" class="back-to-top">
|
||
<a href="#"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512" class="icon arrow-up"><path d="M34.9 289.5l-22.2-22.2c-9.4-9.4-9.4-24.6 0-33.9L207 39c9.4-9.4 24.6-9.4 33.9 0l194.3 194.3c9.4 9.4 9.4 24.6 0 33.9L413 289.4c-9.5 9.5-25 9.3-34.3-.4L264 168.6V456c0 13.3-10.7 24-24 24h-32c-13.3 0-24-10.7-24-24V168.6L69.2 289.1c-9.3 9.8-24.8 10-34.3.4z"/></svg></a>
|
||
</div>
|
||
|
||
|
||
|
||
<footer id="footer" class="footer">
|
||
<div class="footer-inner">
|
||
<div class="site-info">© 2022–2023 <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon footer-icon"><path d="M462.3 62.6C407.5 15.9 326 24.3 275.7 76.2L256 96.5l-19.7-20.3C186.1 24.3 104.5 15.9 49.7 62.6c-62.8 53.6-66.1 149.8-9.9 207.9l193.5 199.8c12.5 12.9 32.8 12.9 45.3 0l193.5-199.8c56.3-58.1 53-154.3-9.8-207.9z"/></svg> InkSoul</div><div class="powered-by">Powered by <a href="https://github.com/gohugoio/hugo" target="_blank" rel="noopener">Hugo</a> | Theme is <a href="https://github.com/reuixiy/hugo-theme-meme" target="_blank" rel="noopener">MemE</a></div><div class="site-copyright"><a href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.zh" target="_blank" rel="noopener">CC BY-NC-SA 4.0</a></div><div class="custom-footer"><a href="https://beian.miit.gov.cn" target="_blank" rel="noopener">闽ICP备2022009452号-1</a></div>
|
||
|
||
|
||
|
||
<ul class="socials"><li class="socials-item">
|
||
<a href="mailto:qingci30@163.com" target="_blank" rel="external noopener" title="Email"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon social-icon"><path d="M464 64H48C21.49 64 0 85.49 0 112v288c0 26.51 21.49 48 48 48h416c26.51 0 48-21.49 48-48V112c0-26.51-21.49-48-48-48zm0 48v40.805c-22.422 18.259-58.168 46.651-134.587 106.49-16.841 13.247-50.201 45.072-73.413 44.701-23.208.375-56.579-31.459-73.413-44.701C106.18 199.465 70.425 171.067 48 152.805V112h416zM48 400V214.398c22.914 18.251 55.409 43.862 104.938 82.646 21.857 17.205 60.134 55.186 103.062 54.955 42.717.231 80.509-37.199 103.053-54.947 49.528-38.783 82.032-64.401 104.947-82.653V400H48z"/></svg></a>
|
||
</li><li class="socials-item">
|
||
<a href="https://github.com/ink-soul" target="_blank" rel="external noopener" title="GitHub"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="icon social-icon"><path d="M12 .297c-6.63 0-12 5.373-12 12 0 5.303 3.438 9.8 8.205 11.385.6.113.82-.258.82-.577 0-.285-.01-1.04-.015-2.04-3.338.724-4.042-1.61-4.042-1.61C4.422 18.07 3.633 17.7 3.633 17.7c-1.087-.744.084-.729.084-.729 1.205.084 1.838 1.236 1.838 1.236 1.07 1.835 2.809 1.305 3.495.998.108-.776.417-1.305.76-1.605-2.665-.3-5.466-1.332-5.466-5.93 0-1.31.465-2.38 1.235-3.22-.135-.303-.54-1.523.105-3.176 0 0 1.005-.322 3.3 1.23.96-.267 1.98-.399 3-.405 1.02.006 2.04.138 3 .405 2.28-1.552 3.285-1.23 3.285-1.23.645 1.653.24 2.873.12 3.176.765.84 1.23 1.91 1.23 3.22 0 4.61-2.805 5.625-5.475 5.92.42.36.81 1.096.81 2.22 0 1.606-.015 2.896-.015 3.286 0 .315.21.69.825.57C20.565 22.092 24 17.592 24 12.297c0-6.627-5.373-12-12-12"/></svg></a>
|
||
</li><li class="socials-item">
|
||
<a href="http://gitea.inksoul.top/inksoul" target="_blank" rel="external noopener" title="gitea"><svg class="icon social-icon" fill="none" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path d="M4.209 4.603c-.247 0-.525.02-.84.088-.333.07-1.28.283-2.054 1.027C-.403 7.25.035 9.685.089 10.052c.065.446.263 1.687 1.21 2.768 1.749 2.141 5.513 2.092 5.513 2.092s.462 1.103 1.168 2.119c.955 1.263 1.936 2.248 2.89 2.367 2.406 0 7.212-.004 7.212-.004s.458.004 1.08-.394c.535-.324 1.013-.893 1.013-.893s.492-.527 1.18-1.73c.21-.37.385-.729.538-1.068 0 0 2.107-4.471 2.107-8.823-.042-1.318-.367-1.55-.443-1.627-.156-.156-.366-.153-.366-.153s-4.475.252-6.792.306c-.508.011-1.012.023-1.512.027v4.474l-.634-.301c0-1.39-.004-4.17-.004-4.17-1.107.016-3.405-.084-3.405-.084s-5.399-.27-5.987-.324c-.187-.011-.401-.032-.648-.032zm.354 1.832h.111s.271 2.269.6 3.597C5.549 11.147 6.22 13 6.22 13s-.996-.119-1.641-.348c-.99-.324-1.409-.714-1.409-.714s-.73-.511-1.096-1.52C1.444 8.73 2.021 7.7 2.021 7.7s.32-.859 1.47-1.145c.395-.106.863-.12 1.072-.12zm8.33 2.554c.26.003.509.127.509.127l.868.422-.529 1.075a.686.686 0 0 0-.614.359.685.685 0 0 0 .072.756l-.939 1.924a.69.69 0 0 0-.66.527.687.687 0 0 0 .347.763.686.686 0 0 0 .867-.206.688.688 0 0 0-.069-.882l.916-1.874a.667.667 0 0 0 .237-.02.657.657 0 0 0 .271-.137 8.826 8.826 0 0 1 1.016.512.761.761 0 0 1 .286.282c.073.21-.073.569-.073.569-.087.29-.702 1.55-.702 1.55a.692.692 0 0 0-.676.477.681.681 0 1 0 1.157-.252c.073-.141.141-.282.214-.431.19-.397.515-1.16.515-1.16.035-.066.218-.394.103-.814-.095-.435-.48-.638-.48-.638-.467-.301-1.116-.58-1.116-.58s0-.156-.042-.27a.688.688 0 0 0-.148-.241l.516-1.062 2.89 1.401s.48.218.583.619c.073.282-.019.534-.069.657-.24.587-2.1 4.317-2.1 4.317s-.232.554-.748.588a1.065 1.065 0 0 1-.393-.045l-.202-.08-4.31-2.1s-.417-.218-.49-.596c-.083-.31.104-.691.104-.691l2.073-4.272s.183-.37.466-.497a.855.855 0 0 1 .35-.077z" ></path></svg></a>
|
||
</li><li class="socials-item">
|
||
<a href="https://space.bilibili.com/262369930" target="_blank" rel="external noopener" title="bilibili"><svg class="icon social-icon" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg"><path d="M17.813 4.653h.854c1.51.054 2.769.578 3.773 1.574 1.004.995 1.524 2.249 1.56 3.76v7.36c-.036 1.51-.556 2.769-1.56 3.773s-2.262 1.524-3.773 1.56H5.333c-1.51-.036-2.769-.556-3.773-1.56S.036 18.858 0 17.347v-7.36c.036-1.511.556-2.765 1.56-3.76 1.004-.996 2.262-1.52 3.773-1.574h.774l-1.174-1.12a1.234 1.234 0 0 1-.373-.906c0-.356.124-.658.373-.907l.027-.027c.267-.249.573-.373.92-.373.347 0 .653.124.92.373L9.653 4.44c.071.071.134.142.187.213h4.267a.836.836 0 0 1 .16-.213l2.853-2.747c.267-.249.573-.373.92-.373.347 0 .662.151.929.4.267.249.391.551.391.907 0 .355-.124.657-.373.906zM5.333 7.24c-.746.018-1.373.276-1.88.773-.506.498-.769 1.13-.786 1.894v7.52c.017.764.28 1.395.786 1.893.507.498 1.134.756 1.88.773h13.334c.746-.017 1.373-.275 1.88-.773.506-.498.769-1.129.786-1.893v-7.52c-.017-.765-.28-1.396-.786-1.894-.507-.497-1.134-.755-1.88-.773zM8 11.107c.373 0 .684.124.933.373.25.249.383.569.4.96v1.173c-.017.391-.15.711-.4.96-.249.25-.56.374-.933.374s-.684-.125-.933-.374c-.25-.249-.383-.569-.4-.96V12.44c0-.373.129-.689.386-.947.258-.257.574-.386.947-.386zm8 0c.373 0 .684.124.933.373.25.249.383.569.4.96v1.173c-.017.391-.15.711-.4.96-.249.25-.56.374-.933.374s-.684-.125-.933-.374c-.25-.249-.383-.569-.4-.96V12.44c.017-.391.15-.711.4-.96.249-.249.56-.373.933-.373Z"/></svg></a>
|
||
</li></ul>
|
||
|
||
|
||
|
||
|
||
|
||
</div>
|
||
</footer>
|
||
|
||
|
||
</div>
|
||
<script>
|
||
if ('serviceWorker' in navigator) {
|
||
window.addEventListener('load', function() {
|
||
navigator.serviceWorker.register('\/sw.js');
|
||
});
|
||
}
|
||
</script>
|
||
|
||
|
||
|
||
<link rel="stylesheet" href="https://fastly.jsdelivr.net/npm/katex@0.13.0/dist/katex.min.css" integrity="sha256-gPJfuwTULrEAAcI3X4bALVU/2qBU+QY/TpoD3GO+Exw=" crossorigin="anonymous">
|
||
|
||
<script>
|
||
if (typeof renderMathInElement === 'undefined') {
|
||
var getScript = (options) => {
|
||
var script = document.createElement('script');
|
||
script.defer = true;
|
||
script.crossOrigin = 'anonymous';
|
||
Object.keys(options).forEach((key) => {
|
||
script[key] = options[key];
|
||
});
|
||
document.body.appendChild(script);
|
||
};
|
||
getScript({
|
||
src: 'https:\/\/fastly.jsdelivr.net/npm/katex@0.13.0/dist/katex.min.js',
|
||
integrity: 'sha256-YTW9cMncW/ZQMhY69KaUxIa2cPTxV87Uh627Gf5ODUw=',
|
||
onload: () => {
|
||
getScript({
|
||
src: 'https:\/\/fastly.jsdelivr.net/npm/katex@0.13.0/dist/contrib/mhchem.min.js',
|
||
integrity: 'sha256-yzSfYeVsWJ1x+2g8CYHsB/Mn7PcSp8122k5BM4T3Vxw=',
|
||
onload: () => {
|
||
getScript({
|
||
src: 'https:\/\/fastly.jsdelivr.net/npm/katex@0.13.0/dist/contrib/auto-render.min.js',
|
||
integrity: 'sha256-fxJzNV6hpc8tgW8tF0zVobKa71eTCRGTgxFXt1ZpJNM=',
|
||
onload: () => {
|
||
renderKaTex();
|
||
}
|
||
});
|
||
}
|
||
});
|
||
}
|
||
});
|
||
} else {
|
||
renderKaTex();
|
||
}
|
||
function renderKaTex() {
|
||
renderMathInElement(
|
||
document.body,
|
||
{
|
||
delimiters: [
|
||
{left: "$$", right: "$$", display: true},
|
||
{left: "\\[", right: "\\]", display: true},
|
||
{left: "$", right: "$", display: false},
|
||
{left: "\\(", right: "\\)", display: false}
|
||
]
|
||
}
|
||
);
|
||
}
|
||
</script>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<script src="https://fastly.jsdelivr.net/npm/medium-zoom@latest/dist/medium-zoom.min.js"></script>
|
||
|
||
<script>
|
||
let imgNodes = document.querySelectorAll('div.post-body img');
|
||
imgNodes = Array.from(imgNodes).filter(node => node.parentNode.tagName !== "A");
|
||
|
||
mediumZoom(imgNodes, {
|
||
background: 'hsla(var(--color-bg-h), var(--color-bg-s), var(--color-bg-l), 0.95)'
|
||
})
|
||
</script>
|
||
|
||
|
||
|
||
|
||
<script src="https://fastly.jsdelivr.net/npm/instant.page@5.1.0/instantpage.min.js" type="module" defer></script>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
</body>
|
||
</html>
|