From 2cdf6b3718fb284bc19fca93ea65e50b26d0fd95 Mon Sep 17 00:00:00 2001
From: nova1751 <nova2319427728@outlook.com>
Date: Wed, 27 Sep 2023 03:51:20 +0000
Subject: [PATCH] feat: bugs fixed UTC 2023-09-27 Wednesday 03:51:20 Updated By
 Github Actions

---
 404.html                                      | 347 +++++++++
 about/index.html                              | 430 +++++++++++
 archives/2022/07/index.html                   | 347 +++++++++
 archives/2022/08/index.html                   | 347 +++++++++
 archives/2022/09/index.html                   | 347 +++++++++
 archives/2022/12/index.html                   | 347 +++++++++
 archives/2022/index.html                      | 347 +++++++++
 archives/2022/page/2/index.html               | 347 +++++++++
 archives/2023/01/index.html                   | 347 +++++++++
 archives/2023/03/index.html                   | 347 +++++++++
 archives/2023/index.html                      | 347 +++++++++
 archives/index.html                           | 347 +++++++++
 archives/page/2/index.html                    | 347 +++++++++
 atom.xml                                      | 360 ++++++++++
 categories/DNS/index.html                     | 347 +++++++++
 categories/Java/index.html                    | 347 +++++++++
 categories/index.html                         | 430 +++++++++++
 .../index.html"                               | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 comments/index.html                           | 474 +++++++++++++
 css/custom.css                                |   1 +
 css/index.css                                 |   1 +
 css/pointer/Arrow.cur                         | Bin 0 -> 4286 bytes
 css/pointer/Copy.cur                          | Bin 0 -> 4286 bytes
 css/pointer/Hand.cur                          | Bin 0 -> 4286 bytes
 css/pointer/Hand2.cur                         | Bin 0 -> 4286 bytes
 css/pointer/Help.cur                          | Bin 0 -> 4286 bytes
 css/pointer/IBeam.cur                         | Bin 0 -> 4286 bytes
 css/pointer/NO.cur                            | Bin 0 -> 4286 bytes
 css/var.css                                   |   0
 drive/index.html                              | 430 +++++++++++
 img/404.jpg                                   | Bin 0 -> 16393 bytes
 img/favicon.png                               | Bin 0 -> 323 bytes
 img/friend_404.gif                            | Bin 0 -> 65097 bytes
 index.html                                    | 347 +++++++++
 js/hideLrc.js                                 |   1 +
 js/main.js                                    |   1 +
 js/search/algolia.js                          |   1 +
 js/search/local-search.js                     |   1 +
 js/tw_cn.js                                   |   1 +
 js/utils.js                                   |   1 +
 link/index.html                               | 430 +++++++++++
 music/index.html                              | 434 ++++++++++++
 page/2/index.html                             | 347 +++++++++
 posts/170bc017/index.html                     | 430 +++++++++++
 posts/20642/index.html                        | 430 +++++++++++
 posts/355699d5/index.html                     | 529 ++++++++++++++
 posts/40f24371/index.html                     | 430 +++++++++++
 posts/47341/index.html                        | 430 +++++++++++
 posts/54c08517/index.html                     | 430 +++++++++++
 posts/6534ce06/index.html                     | 435 ++++++++++++
 posts/75378e04/index.html                     | 430 +++++++++++
 posts/775eb342/index.html                     | 430 +++++++++++
 posts/8d55d49a/index.html                     | 430 +++++++++++
 posts/b06cc6ec/index.html                     | 430 +++++++++++
 posts/b67f488/index.html                      | 430 +++++++++++
 posts/d3748e5f/index.html                     | 430 +++++++++++
 pwa/images/16.png                             | Bin 0 -> 1424 bytes
 pwa/images/32.png                             | Bin 0 -> 2813 bytes
 pwa/images/apple-touch-icon.png               | Bin 0 -> 55181 bytes
 pwa/images/icons/icon-128x128.png             | Bin 0 -> 41210 bytes
 pwa/images/icons/icon-144x144.png             | Bin 0 -> 50696 bytes
 pwa/images/icons/icon-152x152.png             | Bin 0 -> 55775 bytes
 pwa/images/icons/icon-192x192.png             | Bin 0 -> 83236 bytes
 pwa/images/icons/icon-384x384.png             | Bin 0 -> 274849 bytes
 pwa/images/icons/icon-512x512.png             | Bin 0 -> 389026 bytes
 pwa/images/icons/icon-72x72.png               | Bin 0 -> 14979 bytes
 pwa/images/icons/icon-96x96.png               | Bin 0 -> 24978 bytes
 pwa/images/safari-pinned-tab.svg              | 669 ++++++++++++++++++
 pwa/manifest.json                             |   1 +
 service-worker.js                             |   1 +
 service-worker.js.map                         |   1 +
 sitemap.txt                                   |  50 ++
 sitemap.xml                                   | 400 +++++++++++
 tags/Java/index.html                          | 347 +++++++++
 tags/Numpy/index.html                         | 347 +++++++++
 tags/Python/index.html                        | 347 +++++++++
 tags/Ubuntu/index.html                        | 347 +++++++++
 tags/Windows/index.html                       | 347 +++++++++
 tags/cloudflare/index.html                    | 347 +++++++++
 tags/index.html                               | 430 +++++++++++
 tags/k-means/index.html                       | 347 +++++++++
 "tags/kNN\347\256\227\346\263\225/index.html" | 347 +++++++++
 tags/python/index.html                        | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 "tags/\345\237\237\345\220\215/index.html"    | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 "tags/\346\240\210/index.html"                | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 "tags/\347\273\252\350\256\272/index.html"    | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 "tags/\347\276\216\345\214\226/index.html"    | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 .../index.html"                               | 347 +++++++++
 "tags/\351\230\237\345\210\227/index.html"    | 347 +++++++++
 workbox-f2630e7e.js                           |   1 +
 workbox-f2630e7e.js.map                       |   1 +
 101 files changed, 24818 insertions(+)
 create mode 100644 404.html
 create mode 100644 about/index.html
 create mode 100644 archives/2022/07/index.html
 create mode 100644 archives/2022/08/index.html
 create mode 100644 archives/2022/09/index.html
 create mode 100644 archives/2022/12/index.html
 create mode 100644 archives/2022/index.html
 create mode 100644 archives/2022/page/2/index.html
 create mode 100644 archives/2023/01/index.html
 create mode 100644 archives/2023/03/index.html
 create mode 100644 archives/2023/index.html
 create mode 100644 archives/index.html
 create mode 100644 archives/page/2/index.html
 create mode 100644 atom.xml
 create mode 100644 categories/DNS/index.html
 create mode 100644 categories/Java/index.html
 create mode 100644 categories/index.html
 create mode 100644 "categories/\346\225\260\346\215\256\347\273\223\346\236\204/index.html"
 create mode 100644 "categories/\346\234\272\345\231\250\345\255\246\344\271\240/index.html"
 create mode 100644 "categories/\347\231\276\345\256\235\347\256\261/index.html"
 create mode 100644 comments/index.html
 create mode 100644 css/custom.css
 create mode 100644 css/index.css
 create mode 100644 css/pointer/Arrow.cur
 create mode 100644 css/pointer/Copy.cur
 create mode 100644 css/pointer/Hand.cur
 create mode 100644 css/pointer/Hand2.cur
 create mode 100644 css/pointer/Help.cur
 create mode 100644 css/pointer/IBeam.cur
 create mode 100644 css/pointer/NO.cur
 create mode 100644 css/var.css
 create mode 100644 drive/index.html
 create mode 100644 img/404.jpg
 create mode 100644 img/favicon.png
 create mode 100644 img/friend_404.gif
 create mode 100644 index.html
 create mode 100644 js/hideLrc.js
 create mode 100644 js/main.js
 create mode 100644 js/search/algolia.js
 create mode 100644 js/search/local-search.js
 create mode 100644 js/tw_cn.js
 create mode 100644 js/utils.js
 create mode 100644 link/index.html
 create mode 100644 music/index.html
 create mode 100644 page/2/index.html
 create mode 100644 posts/170bc017/index.html
 create mode 100644 posts/20642/index.html
 create mode 100644 posts/355699d5/index.html
 create mode 100644 posts/40f24371/index.html
 create mode 100644 posts/47341/index.html
 create mode 100644 posts/54c08517/index.html
 create mode 100644 posts/6534ce06/index.html
 create mode 100644 posts/75378e04/index.html
 create mode 100644 posts/775eb342/index.html
 create mode 100644 posts/8d55d49a/index.html
 create mode 100644 posts/b06cc6ec/index.html
 create mode 100644 posts/b67f488/index.html
 create mode 100644 posts/d3748e5f/index.html
 create mode 100644 pwa/images/16.png
 create mode 100644 pwa/images/32.png
 create mode 100644 pwa/images/apple-touch-icon.png
 create mode 100644 pwa/images/icons/icon-128x128.png
 create mode 100644 pwa/images/icons/icon-144x144.png
 create mode 100644 pwa/images/icons/icon-152x152.png
 create mode 100644 pwa/images/icons/icon-192x192.png
 create mode 100644 pwa/images/icons/icon-384x384.png
 create mode 100644 pwa/images/icons/icon-512x512.png
 create mode 100644 pwa/images/icons/icon-72x72.png
 create mode 100644 pwa/images/icons/icon-96x96.png
 create mode 100644 pwa/images/safari-pinned-tab.svg
 create mode 100644 pwa/manifest.json
 create mode 100644 service-worker.js
 create mode 100644 service-worker.js.map
 create mode 100644 sitemap.txt
 create mode 100644 sitemap.xml
 create mode 100644 tags/Java/index.html
 create mode 100644 tags/Numpy/index.html
 create mode 100644 tags/Python/index.html
 create mode 100644 tags/Ubuntu/index.html
 create mode 100644 tags/Windows/index.html
 create mode 100644 tags/cloudflare/index.html
 create mode 100644 tags/index.html
 create mode 100644 tags/k-means/index.html
 create mode 100644 "tags/kNN\347\256\227\346\263\225/index.html"
 create mode 100644 tags/python/index.html
 create mode 100644 "tags/\344\273\273\345\212\241\346\240\217/index.html"
 create mode 100644 "tags/\345\206\263\347\255\226\346\240\221/index.html"
 create mode 100644 "tags/\345\237\237\345\220\215/index.html"
 create mode 100644 "tags/\346\225\260\346\215\256\347\273\223\346\236\204/index.html"
 create mode 100644 "tags/\346\234\272\345\231\250\345\255\246\344\271\240/index.html"
 create mode 100644 "tags/\346\240\210/index.html"
 create mode 100644 "tags/\347\272\277\346\200\247\345\233\236\345\275\222/index.html"
 create mode 100644 "tags/\347\272\277\346\200\247\350\241\250/index.html"
 create mode 100644 "tags/\347\273\252\350\256\272/index.html"
 create mode 100644 "tags/\347\274\226\347\250\213\345\255\246\344\271\240/index.html"
 create mode 100644 "tags/\347\276\216\345\214\226/index.html"
 create mode 100644 "tags/\350\231\232\346\213\237\346\234\272/index.html"
 create mode 100644 "tags/\351\200\273\350\276\221\345\233\236\345\275\222/index.html"
 create mode 100644 "tags/\351\230\237\345\210\227/index.html"
 create mode 100644 workbox-f2630e7e.js
 create mode 100644 workbox-f2630e7e.js.map

diff --git a/404.html b/404.html
new file mode 100644
index 000000000..7911e4a41
--- /dev/null
+++ b/404.html
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>页面没有找到 | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=希亚的西红柿のBlog><meta property=og:url content=http://refrain.cf/404.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/404.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
+  root: '/',
+  algolia: {"appId":"F7ZHZW0YLX","apiKey":"b990de8d71cb9195d609960745ef872c","indexName":"blog-search","hits":{"per_page":6},"languages":{"input_placeholder":"搜索文章","hits_empty":"找不到您查询的内容：${query}","hits_stats":"找到 ${hits} 条结果，用时 ${time} 毫秒"}},
+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
+    success: '复制成功',
+    error: '复制错误',
+    noSupport: '浏览器不支持'
+  },
+  relativeDate: {
+    homepage: false,
+    post: false
+  },
+  runtime: '天',
+  dateSuffix: {
+    just: '刚刚',
+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
+    month: '个月前'
+  },
+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
+  lightbox: 'fancybox',
+  Snackbar: undefined,
+  source: {
+    justifiedGallery: {
+      js: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.js',
+      css: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.css'
+    }
+  },
+  isPhotoFigcaption: true,
+  islazyload: true,
+  isAnchor: true,
+  percent: {
+    toc: true,
+    rightside: true,
+  },
+  autoDarkmode: false
+}</script><script id=config-diff>var GLOBAL_CONFIG_SITE = {
+  title: '页面没有找到',
+  isPost: false,
+  isHome: false,
+  isHighlightShrink: false,
+  isToc: false,
+  postUpdate: '2023-09-27 11:51:15'
+}</script><noscript><style type=text/css>
+  #nav {
+    opacity: 1
+  }
+  .justified-gallery img {
+    opacity: 1
+  }
+
+  #recent-posts time,
+  #post-meta time {
+    display: inline !important
+  }
+</style></noscript><script>(win=>{
+    win.saveToLocal = {
+      set: function setWithExpiry(key, value, ttl) {
+        if (ttl === 0) return
+        const now = new Date()
+        const expiryDay = ttl * 86400000
+        const item = {
+          value: value,
+          expiry: now.getTime() + expiryDay,
+        }
+        localStorage.setItem(key, JSON.stringify(item))
+      },
+
+      get: function getWithExpiry(key) {
+        const itemStr = localStorage.getItem(key)
+
+        if (!itemStr) {
+          return undefined
+        }
+        const item = JSON.parse(itemStr)
+        const now = new Date()
+
+        if (now.getTime() > item.expiry) {
+          localStorage.removeItem(key)
+          return undefined
+        }
+        return item.value
+      }
+    }
+  
+    win.getScript = url => new Promise((resolve, reject) => {
+      const script = document.createElement('script')
+      script.src = url
+      script.async = true
+      script.onerror = reject
+      script.onload = script.onreadystatechange = function() {
+        const loadState = this.readyState
+        if (loadState && loadState !== 'loaded' && loadState !== 'complete') return
+        script.onload = script.onreadystatechange = null
+        resolve()
+      }
+      document.head.appendChild(script)
+    })
+  
+    win.getCSS = (url,id = false) => new Promise((resolve, reject) => {
+      const link = document.createElement('link')
+      link.rel = 'stylesheet'
+      link.href = url
+      if (id) link.id = id
+      link.onerror = reject
+      link.onload = link.onreadystatechange = function() {
+        const loadState = this.readyState
+        if (loadState && loadState !== 'loaded' && loadState !== 'complete') return
+        link.onload = link.onreadystatechange = null
+        resolve()
+      }
+      document.head.appendChild(link)
+    })
+  
+      win.activateDarkMode = function () {
+        document.documentElement.setAttribute('data-theme', 'dark')
+        if (document.querySelector('meta[name="theme-color"]') !== null) {
+          document.querySelector('meta[name="theme-color"]').setAttribute('content', '#0d0d0d')
+        }
+      }
+      win.activateLightMode = function () {
+        document.documentElement.setAttribute('data-theme', 'light')
+        if (document.querySelector('meta[name="theme-color"]') !== null) {
+          document.querySelector('meta[name="theme-color"]').setAttribute('content', '#ffffff')
+        }
+      }
+      const t = saveToLocal.get('theme')
+    
+          if (t === 'dark') activateDarkMode()
+          else if (t === 'light') activateLightMode()
+        
+      const asideStatus = saveToLocal.get('aside-status')
+      if (asideStatus !== undefined) {
+        if (asideStatus === 'hide') {
+          document.documentElement.classList.add('hide-aside')
+        } else {
+          document.documentElement.classList.remove('hide-aside')
+        }
+      }
+    
+    const detectApple = () => {
+      if(/iPad|iPhone|iPod|Macintosh/.test(navigator.userAgent)){
+        document.documentElement.classList.add('apple')
+      }
+    }
+    detectApple()
+    })(window)</script><link rel=stylesheet href=https://npm.elemecdn.com/lxgw-wenkai-webfont@1.1.0/lxgwwenkai-regular.css><link rel=stylesheet href=/css/custom.css><link rel=stylesheet href=//at.alicdn.com/t/c/font_4269833_jnnffbhl0sk.css><link rel=stylesheet href=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.css><link rel=stylesheet href=https://npm.elemecdn.com/hexo-butterfly-tag-plugins-plus@latest/lib/assets/font-awesome-animation.min.css media=defer onload="this.media='all'"><link rel=stylesheet href=https://npm.elemecdn.com/hexo-butterfly-tag-plugins-plus@1.0.17/lib/tag_plugins.css media=defer onload="this.media='all'"><script src=https://npm.elemecdn.com/hexo-butterfly-tag-plugins-plus@latest/lib/assets/carousel-touch.js></script><meta name=generator content="Hexo 5.4.2"><link rel=alternate href=/atom.xml title=希亚的西红柿のBlog type=application/atom+xml></head><body><script>window.paceOptions = {
+  restartOnPushState: false
+}
+
+document.addEventListener('pjax:send', () => {
+  Pace.restart()
+})
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/pace-js/themes/blue/pace-theme-minimal.min.css><script src=https://cdn.jsdelivr.net/npm/pace-js/pace.min.js></script><div id=web_bg></div><div id=sidebar><div id=menu-mask></div><div id=sidebar-menus><div class="avatar-img is-center"><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png onerror="onerror=null;src='/img/friend_404.gif'" alt=avatar></div><div class="sidebar-site-data site-data is-center"><a href="/archives/"><div class=headline>文章</div><div class=length-num>13</div></a><a href="/tags/"><div class=headline>标签</div><div class=length-num>23</div></a><a href="/categories/"><div class=headline>分类</div><div class=length-num>5</div></a></div><hr class=custom-hr><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas fa-archive"></i><span>归档</span></a></div><div class=menus_item><a class=site-page href="/tags/"><i class="fa-fw fas fa-tags"></i><span>标签</span></a></div><div class=menus_item><a class=site-page href="/categories/"><i class="fa-fw fas fa-folder-open"></i><span>分类</span></a></div><div class=menus_item><a class="site-page group" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fa-fw fas fa-list"></i><span>菜单</span><i class="fas fa-chevron-down"></i></a><ul class=menus_item_child><li><a class="site-page child" href="/music/"><i class="fa-fw fas fa-music"></i><span>音乐</span></a></li><li><a class="site-page child" href="/drive/"><i class="fa-fw fas fa-cloud"></i><span>网盘</span></a></li><li><a class="site-page child" target=_blank rel="noopener external nofollow noreferrer" href=https://blog.refrain.cf><i class="fa-fw iconfont icon-netlify"></i><span>博客镜像</span></a></li></ul></div><div class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=error404 id=body-wrap><header class=not-top-img id=page-header><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); 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+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
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+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
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+  var epage = 'all';
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diff --git a/about/index.html b/about/index.html
new file mode 100644
index 000000000..0cd1db785
--- /dev/null
+++ b/about/index.html
@@ -0,0 +1,430 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>about | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=about><meta property=og:url content=http://refrain.cf/about/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://i.loli.net/2020/05/01/gkihqEjXxJ5UZ1C.jpg><meta property=article:published_time content=2023-09-11T11:53:09.000Z><meta property=article:modified_time content=2023-09-11T11:53:09.000Z><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://i.loli.net/2020/05/01/gkihqEjXxJ5UZ1C.jpg><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/about/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
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+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
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+  dateSuffix: {
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+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
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+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
+  lightbox: 'fancybox',
+  Snackbar: undefined,
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+  .justified-gallery img {
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+  #recent-posts time,
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+      document.head.appendChild(link)
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+  
+      win.activateDarkMode = function () {
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+        if (document.querySelector('meta[name="theme-color"]') !== null) {
+          document.querySelector('meta[name="theme-color"]').setAttribute('content', '#0d0d0d')
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+        document.documentElement.setAttribute('data-theme', 'light')
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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><a id=to_comment href=#post-comment title=直达评论><i class="fas fa-comments"></i></a><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax><script>if (!window.MathJax) {
+  window.MathJax = {
+    tex: {
+      inlineMath: [['$', '$'], ['\\(', '\\)']],
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+    chtml: {
+      scale: 1.1
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+    options: {
+      renderActions: {
+        findScript: [10, doc => {
+          for (const node of document.querySelectorAll('script[type^="math/tex"]')) {
+            const display = !!node.type.match(/; *mode=display/)
+            const math = new doc.options.MathItem(node.textContent, doc.inputJax[0], display)
+            const text = document.createTextNode('')
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+            math.start = {node: text, delim: '', n: 0}
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+            doc.math.push(math)
+          }
+        }, '']
+      }
+    }
+  }
+  
+  const script = document.createElement('script')
+  script.src = 'https://cdn.jsdelivr.net/npm/mathjax/es5/tex-mml-chtml.min.js'
+  script.id = 'MathJax-script'
+  script.async = true
+  document.head.appendChild(script)
+} else {
+  MathJax.startup.document.state(0)
+  MathJax.texReset()
+  MathJax.typesetPromise()
+}</script><script>(()=>{
+  const init = () => {
+    twikoo.init(Object.assign({
+      el: '#twikoo-wrap',
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      onCommentLoaded: function () {
+        btf.loadLightbox(document.querySelectorAll('#twikoo .tk-content img:not(.tk-owo-emotion)'))
+      }
+    }, null))
+  }
+
+  const getCount = () => {
+    const countELement = document.getElementById('twikoo-count')
+    if(!countELement) return
+    twikoo.getCommentsCount({
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      urls: [window.location.pathname],
+      includeReply: false
+    }).then(function (res) {
+      countELement.textContent = res[0].count
+    }).catch(function (err) {
+      console.error(err);
+    });
+  }
+
+  const runFn = () => {
+    init()
+    
+  }
+
+  const loadTwikoo = () => {
+    if (typeof twikoo === 'object') {
+      setTimeout(runFn,0)
+      return
+    } 
+    getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runFn)
+  }
+
+  if ('Twikoo' === 'Twikoo' || !true) {
+    if (true) btf.loadComment(document.getElementById('twikoo-wrap'), loadTwikoo)
+    else loadTwikoo()
+  } else {
+    window.loadOtherComment = () => {
+      loadTwikoo()
+    }
+  }
+})()</script></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/archives/2022/07/index.html b/archives/2022/07/index.html
new file mode 100644
index 000000000..37c8def91
--- /dev/null
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+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
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+    if (typeof twikoo === 'object') {
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+        result += `<div class='content'>
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+  scrollRestoration: false
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+document.addEventListener('pjax:send', function () {
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+  // removeEventListener scroll 
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+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
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+  var epage = 'all';
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+  if ((epage ==='all')&&(flag == 0)){
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diff --git a/archives/2022/09/index.html b/archives/2022/09/index.html
new file mode 100644
index 000000000..4f18368d7
--- /dev/null
+++ b/archives/2022/09/index.html
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>九月 2022 | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content="九月 2022"><meta property=og:url content=http://refrain.cf/archives/2022/09/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/archives/2022/09/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
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+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
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+  runtime: '天',
+  dateSuffix: {
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+    hour: '小时前',
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+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
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{
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
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+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/archives/2022/12/index.html b/archives/2022/12/index.html
new file mode 100644
index 000000000..f0a772683
--- /dev/null
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new file mode 100644
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class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=page id=body-wrap><header class=not-home-page id=page-header style="background-image: url('https://npm.elemecdn.com/nova1751-sources/blogImg/top.jpg')"><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-search fa-fw"></i><span>搜索</span></a></div><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas 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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
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+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
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+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/archives/2022/page/2/index.html b/archives/2022/page/2/index.html
new file mode 100644
index 000000000..458329301
--- /dev/null
+++ b/archives/2022/page/2/index.html
@@ -0,0 +1,347 @@
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class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=page id=body-wrap><header class=not-home-page id=page-header style="background-image: url('https://npm.elemecdn.com/nova1751-sources/blogImg/top.jpg')"><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-search fa-fw"></i><span>搜索</span></a></div><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas 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17:52:55">2023-03-04</time></div><a class=article-sort-item-title href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程>Windows/Ubuntu双系统安装教程</a></div></div></div><nav id=pagination><div class=pagination><span class="page-number current">1</span></div></nav></div><div class=aside-content id=aside-content><div class="card-widget card-info"><div class=is-center><div class=avatar-img><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png onerror="this.onerror=null;this.src='/img/friend_404.gif'" alt=avatar></div><div class=author-info__name>希亚的西红柿</div><div class=author-info__description>个人博客</div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class=headline>文章</div><div class=length-num>13</div></a><a href="/tags/"><div class=headline>标签</div><div class=length-num>23</div></a><a href="/categories/"><div class=headline>分类</div><div 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{
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
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+    if (content.length > 150) {
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+  const getComment = () => {
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+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
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+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
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+    if (array.length) {
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+        if (true) {
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+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
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+    }
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+  newestCommentInit()
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+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
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+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
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+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
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+
+  for (var i=0;i<elist.length;i++){
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+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/archives/2023/index.html b/archives/2023/index.html
new file mode 100644
index 000000000..a1d044672
--- /dev/null
+++ b/archives/2023/index.html
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>2023 | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=2023><meta property=og:url content=http://refrain.cf/archives/2023/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/archives/2023/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
+  root: '/',
+  algolia: {"appId":"F7ZHZW0YLX","apiKey":"b990de8d71cb9195d609960745ef872c","indexName":"blog-search","hits":{"per_page":6},"languages":{"input_placeholder":"搜索文章","hits_empty":"找不到您查询的内容：${query}","hits_stats":"找到 ${hits} 条结果，用时 ${time} 毫秒"}},
+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
+    success: '复制成功',
+    error: '复制错误',
+    noSupport: '浏览器不支持'
+  },
+  relativeDate: {
+    homepage: false,
+    post: false
+  },
+  runtime: '天',
+  dateSuffix: {
+    just: '刚刚',
+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
+    month: '个月前'
+  },
+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
+  lightbox: 'fancybox',
+  Snackbar: undefined,
+  source: {
+    justifiedGallery: {
+      js: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.js',
+      css: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.css'
+    }
+  },
+  isPhotoFigcaption: true,
+  islazyload: true,
+  isAnchor: true,
+  percent: {
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+  autoDarkmode: false
+}</script><script id=config-diff>var GLOBAL_CONFIG_SITE = {
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+  isPost: false,
+  isHome: false,
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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/archives/index.html b/archives/index.html
new file mode 100644
index 000000000..17dd68856
--- /dev/null
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17:52:55">2023-03-04</time></div><a class=article-sort-item-title href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程>Windows/Ubuntu双系统安装教程</a></div></div><div class=article-sort-item><a class=article-sort-item-img href="/posts/8d55d49a/" title=JAVA学习笔记><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20230117145620.png alt=JAVA学习笔记 onerror="this.onerror=null;this.src='/img/404.jpg'"></a><div class=article-sort-item-info><div class=article-sort-item-time><i class="far fa-calendar-alt"></i><time class=post-meta-date-created datetime=2023-01-17T06:44:22.000Z title="发表于 2023-01-17 14:44:22">2023-01-17</time></div><a class=article-sort-item-title href="/posts/8d55d49a/" title=JAVA学习笔记>JAVA学习笔记</a></div></div><div class="article-sort-item year">2022</div><div class=article-sort-item><a class=article-sort-item-img href="/posts/6534ce06/" title=栈与队列><img 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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/archives/page/2/index.html b/archives/page/2/index.html
new file mode 100644
index 000000000..0c4581256
--- /dev/null
+++ b/archives/page/2/index.html
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>归档 | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=归档><meta property=og:url content=http://refrain.cf/archives/page/2/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/archives/page/2/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
+  root: '/',
+  algolia: {"appId":"F7ZHZW0YLX","apiKey":"b990de8d71cb9195d609960745ef872c","indexName":"blog-search","hits":{"per_page":6},"languages":{"input_placeholder":"搜索文章","hits_empty":"找不到您查询的内容：${query}","hits_stats":"找到 ${hits} 条结果，用时 ${time} 毫秒"}},
+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
+    success: '复制成功',
+    error: '复制错误',
+    noSupport: '浏览器不支持'
+  },
+  relativeDate: {
+    homepage: false,
+    post: false
+  },
+  runtime: '天',
+  dateSuffix: {
+    just: '刚刚',
+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
+    month: '个月前'
+  },
+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
+  lightbox: 'fancybox',
+  Snackbar: undefined,
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+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
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+    }
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+  var epage = 'all';
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diff --git a/atom.xml b/atom.xml
new file mode 100644
index 000000000..26182aebb
--- /dev/null
+++ b/atom.xml
@@ -0,0 +1,360 @@
+<?xml version="1.0" encoding="utf-8"?>
+<feed xmlns="http://www.w3.org/2005/Atom">
+  <title>希亚的西红柿のBlog</title>
+  <icon>https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png</icon>
+  <subtitle>分享学习与生活</subtitle>
+  <link href="http://refrain.cf/atom.xml" rel="self"/>
+  
+  <link href="http://refrain.cf/"/>
+  <updated>2023-09-26T14:08:00.000Z</updated>
+  <id>http://refrain.cf/</id>
+  
+  <author>
+    <name>希亚的西红柿</name>
+    
+  </author>
+  
+  <generator uri="https://hexo.io/">Hexo</generator>
+  
+  <entry>
+    <title>Windows/Ubuntu双系统安装教程</title>
+    <link href="http://refrain.cf/posts/d3748e5f/"/>
+    <id>http://refrain.cf/posts/d3748e5f/</id>
+    <published>2023-03-04T09:52:55.000Z</published>
+    <updated>2023-09-26T14:08:00.000Z</updated>
+    
+    
+      
+      
+        
+        
+    <summary type="html">&lt;div class=&quot;tip home&quot;&gt;&lt;p&gt;本文主要记录笔者 PC 安装 Windows/Ubuntu 双系统的过程、Windows 平台下 VMware 虚拟机安装 Ubuntu 的配置过程、以及双系统 Ubuntu 卸载的注意事项。&lt;/p&gt;
+&lt;/div&gt;
+&lt;div</summary>
+        
+      
+    
+    
+    
+    <category term="百宝箱" scheme="http://refrain.cf/categories/%E7%99%BE%E5%AE%9D%E7%AE%B1/"/>
+    
+    
+    <category term="Windows" scheme="http://refrain.cf/tags/Windows/"/>
+    
+    <category term="Ubuntu" scheme="http://refrain.cf/tags/Ubuntu/"/>
+    
+    <category term="虚拟机" scheme="http://refrain.cf/tags/%E8%99%9A%E6%8B%9F%E6%9C%BA/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>JAVA学习笔记</title>
+    <link href="http://refrain.cf/posts/8d55d49a/"/>
+    <id>http://refrain.cf/posts/8d55d49a/</id>
+    <published>2023-01-17T06:44:22.000Z</published>
+    <updated>2023-03-07T06:44:22.000Z</updated>
+    
+    
+      
+      
+        
+        
+    <summary type="html">&lt;div class=&quot;tip home&quot;&gt;&lt;p&gt;本篇文章将作为编程语言 &lt;strong&gt;&lt;span class=&#39;p red&#39;&gt;JAVA&lt;/span&gt;&lt;/strong&gt; 的学习笔记，供以后查阅与复习使用。&lt;/p&gt;
+&lt;/div&gt;
+&lt;div class=&quot;tip</summary>
+        
+      
+    
+    
+    
+    <category term="Java" scheme="http://refrain.cf/categories/Java/"/>
+    
+    
+    <category term="Java" scheme="http://refrain.cf/tags/Java/"/>
+    
+    <category term="编程学习" scheme="http://refrain.cf/tags/%E7%BC%96%E7%A8%8B%E5%AD%A6%E4%B9%A0/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>栈与队列</title>
+    <link href="http://refrain.cf/posts/6534ce06/"/>
+    <id>http://refrain.cf/posts/6534ce06/</id>
+    <published>2022-12-31T06:18:56.000Z</published>
+    <updated>2023-01-09T06:18:56.000Z</updated>
+    
+    
+    <summary type="html">本人书写的数据结构教程</summary>
+    
+    
+    
+    <category term="数据结构" scheme="http://refrain.cf/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/"/>
+    
+    
+    <category term="数据结构" scheme="http://refrain.cf/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/"/>
+    
+    <category term="栈" scheme="http://refrain.cf/tags/%E6%A0%88/"/>
+    
+    <category term="队列" scheme="http://refrain.cf/tags/%E9%98%9F%E5%88%97/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>线性表</title>
+    <link href="http://refrain.cf/posts/40f24371/"/>
+    <id>http://refrain.cf/posts/40f24371/</id>
+    <published>2022-12-24T13:23:10.000Z</published>
+    <updated>2022-12-31T13:23:10.000Z</updated>
+    
+    
+    <summary type="html">本人书写的数据结构教程</summary>
+    
+    
+    
+    <category term="数据结构" scheme="http://refrain.cf/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/"/>
+    
+    
+    <category term="数据结构" scheme="http://refrain.cf/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/"/>
+    
+    <category term="线性表" scheme="http://refrain.cf/tags/%E7%BA%BF%E6%80%A7%E8%A1%A8/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>Win10/11任务栏透明美化</title>
+    <link href="http://refrain.cf/posts/b67f488/"/>
+    <id>http://refrain.cf/posts/b67f488/</id>
+    <published>2022-12-02T12:18:18.000Z</published>
+    <updated>2022-12-02T12:18:18.000Z</updated>
+    
+    
+    <summary type="html">win10/11任务栏美化教程</summary>
+    
+    
+    
+    <category term="百宝箱" scheme="http://refrain.cf/categories/%E7%99%BE%E5%AE%9D%E7%AE%B1/"/>
+    
+    
+    <category term="Windows" scheme="http://refrain.cf/tags/Windows/"/>
+    
+    <category term="任务栏" scheme="http://refrain.cf/tags/%E4%BB%BB%E5%8A%A1%E6%A0%8F/"/>
+    
+    <category term="美化" scheme="http://refrain.cf/tags/%E7%BE%8E%E5%8C%96/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>数据结构绪论</title>
+    <link href="http://refrain.cf/posts/b06cc6ec/"/>
+    <id>http://refrain.cf/posts/b06cc6ec/</id>
+    <published>2022-09-27T08:42:26.000Z</published>
+    <updated>2022-12-12T08:42:26.000Z</updated>
+    
+    
+    <summary type="html">本人书写的数据结构教程</summary>
+    
+    
+    
+    <category term="数据结构" scheme="http://refrain.cf/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/"/>
+    
+    
+    <category term="数据结构" scheme="http://refrain.cf/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/"/>
+    
+    <category term="绪论" scheme="http://refrain.cf/tags/%E7%BB%AA%E8%AE%BA/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>机器学习基本概念与知识</title>
+    <link href="http://refrain.cf/posts/75378e04/"/>
+    <id>http://refrain.cf/posts/75378e04/</id>
+    <published>2022-08-20T02:42:24.000Z</published>
+    <updated>2022-08-20T02:42:24.000Z</updated>
+    
+    
+    <summary type="html">机器学习基础知识清单</summary>
+    
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>使用numpy实现k-means聚类算法</title>
+    <link href="http://refrain.cf/posts/170bc017/"/>
+    <id>http://refrain.cf/posts/170bc017/</id>
+    <published>2022-08-17T01:03:20.000Z</published>
+    <updated>2022-08-17T01:03:20.000Z</updated>
+    
+    
+      
+      
+        
+        
+    <summary type="html">&lt;h2 id=&quot;k-means-算法基础原理&quot;&gt;&lt;a href=&quot;#k-means-算法基础原理&quot; class=&quot;headerlink&quot; title=&quot;k-means 算法基础原理&quot;&gt;&lt;/a&gt;k-means 算法基础原理&lt;/h2&gt;&lt;blockquote&gt;
+&lt;p&gt;本文注重对</summary>
+        
+      
+    
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    
+    <category term="Numpy" scheme="http://refrain.cf/tags/Numpy/"/>
+    
+    <category term="Python" scheme="http://refrain.cf/tags/Python/"/>
+    
+    <category term="k-means" scheme="http://refrain.cf/tags/k-means/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>使用Numpy实现k-Nearest-Neighbor算法</title>
+    <link href="http://refrain.cf/posts/775eb342/"/>
+    <id>http://refrain.cf/posts/775eb342/</id>
+    <published>2022-08-14T06:08:58.000Z</published>
+    <updated>2022-08-14T06:08:58.000Z</updated>
+    
+    
+      
+      
+        
+        
+    <summary type="html">&lt;h2 id=&quot;KNN-算法基本原理&quot;&gt;&lt;a href=&quot;#KNN-算法基本原理&quot; class=&quot;headerlink&quot; title=&quot;KNN 算法基本原理&quot;&gt;&lt;/a&gt;KNN 算法基本原理&lt;/h2&gt;&lt;p&gt;&lt;strong&gt;kNN 算法的核心思想是用距离最近的 k</summary>
+        
+      
+    
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    <category term="python" scheme="http://refrain.cf/tags/python/"/>
+    
+    <category term="Numpy" scheme="http://refrain.cf/tags/Numpy/"/>
+    
+    <category term="kNN算法" scheme="http://refrain.cf/tags/kNN%E7%AE%97%E6%B3%95/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>Python实现决策树(Decision Tree)算法</title>
+    <link href="http://refrain.cf/posts/54c08517/"/>
+    <id>http://refrain.cf/posts/54c08517/</id>
+    <published>2022-08-07T06:13:25.000Z</published>
+    <updated>2022-08-07T06:13:25.000Z</updated>
+    
+    
+      
+      
+        
+        
+    <summary type="html">&lt;h2 id=&quot;决策树算法基础原理分析&quot;&gt;&lt;a href=&quot;#决策树算法基础原理分析&quot; class=&quot;headerlink&quot; title=&quot;决策树算法基础原理分析&quot;&gt;&lt;/a&gt;决策树算法基础原理分析&lt;/h2&gt;&lt;h3 id=&quot;信息的不纯度-决定决策树分支的指标&quot;&gt;&lt;a</summary>
+        
+      
+    
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    <category term="python" scheme="http://refrain.cf/tags/python/"/>
+    
+    <category term="决策树" scheme="http://refrain.cf/tags/%E5%86%B3%E7%AD%96%E6%A0%91/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>Numpy实现逻辑回归(Logistic Regression)算法</title>
+    <link href="http://refrain.cf/posts/355699d5/"/>
+    <id>http://refrain.cf/posts/355699d5/</id>
+    <published>2022-08-06T09:20:58.000Z</published>
+    <updated>2022-08-06T09:20:58.000Z</updated>
+    
+    
+      
+      
+        
+        
+    <summary type="html">&lt;blockquote&gt;
+&lt;p&gt;前言：本文旨在对如何使用 numpy 实现逻辑回归拟合的过程做具体分析，有关逻辑回归原理部分不做过多论述。&lt;/p&gt;
+&lt;/blockquote&gt;
+&lt;h2 id=&quot;数据集准备&quot;&gt;&lt;a href=&quot;#数据集准备&quot; class=&quot;headerlink&quot;</summary>
+        
+      
+    
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    <category term="python" scheme="http://refrain.cf/tags/python/"/>
+    
+    <category term="Numpy" scheme="http://refrain.cf/tags/Numpy/"/>
+    
+    <category term="逻辑回归" scheme="http://refrain.cf/tags/%E9%80%BB%E8%BE%91%E5%9B%9E%E5%BD%92/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>线性回归 (Linear Regression)</title>
+    <link href="http://refrain.cf/posts/20642/"/>
+    <id>http://refrain.cf/posts/20642/</id>
+    <published>2022-07-22T06:59:02.000Z</published>
+    <updated>2022-07-22T06:59:02.000Z</updated>
+    
+    
+    <summary type="html">&lt;h3 id=&quot;利用-Numpy-实现简单的机器学习算法&quot;&gt;&lt;a href=&quot;#利用-Numpy-实现简单的机器学习算法&quot; class=&quot;headerlink&quot; title=&quot;利用 Numpy 实现简单的机器学习算法&quot;&gt;&lt;/a&gt;利用 Numpy 实现简单的机器学习算法&lt;/h3&gt;&lt;blockquote&gt;
+&lt;p&gt;线性回归（Linear Regression） 可能是最流行的机器学习算法。线性回归就是要找一条直线，并且让这条直线尽可能地拟合散点图中的数据点。&lt;/p&gt;
+&lt;/blockquote&gt;</summary>
+    
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    
+    <category term="机器学习" scheme="http://refrain.cf/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"/>
+    
+    <category term="python" scheme="http://refrain.cf/tags/python/"/>
+    
+    <category term="Numpy" scheme="http://refrain.cf/tags/Numpy/"/>
+    
+    <category term="线性回归" scheme="http://refrain.cf/tags/%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92/"/>
+    
+  </entry>
+  
+  <entry>
+    <title>关于cloudflare对网站搭建的使用</title>
+    <link href="http://refrain.cf/posts/47341/"/>
+    <id>http://refrain.cf/posts/47341/</id>
+    <published>2022-07-18T10:54:13.000Z</published>
+    <updated>2022-07-18T10:54:13.000Z</updated>
+    
+    
+    <summary type="html">&lt;h2 id=&quot;为-hexo-博客添加自定义域名&quot;&gt;&lt;a href=&quot;#为-hexo-博客添加自定义域名&quot; class=&quot;headerlink&quot; title=&quot;为 hexo 博客添加自定义域名&quot;&gt;&lt;/a&gt;为 hexo 博客添加自定义域名&lt;/h2&gt;&lt;blockquote&gt;
+&lt;p&gt;域名注册方面不做赘述，下面详细讲述利用 cloudflare 中 DNS 解析域名至 hexo 博客站的过程&lt;/p&gt;
+&lt;/blockquote&gt;</summary>
+    
+    
+    
+    <category term="DNS" scheme="http://refrain.cf/categories/DNS/"/>
+    
+    
+    <category term="cloudflare" scheme="http://refrain.cf/tags/cloudflare/"/>
+    
+    <category term="域名" scheme="http://refrain.cf/tags/%E5%9F%9F%E5%90%8D/"/>
+    
+  </entry>
+  
+</feed>
diff --git a/categories/DNS/index.html b/categories/DNS/index.html
new file mode 100644
index 000000000..1750b49fa
--- /dev/null
+++ b/categories/DNS/index.html
@@ -0,0 +1,347 @@
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onerror="this.onerror=null;this.src='/img/404.jpg'" alt=JAVA学习笔记></a><div class=content><a class=title href="/posts/8d55d49a/" title=JAVA学习笔记>JAVA学习笔记</a><time datetime=2023-01-17T06:44:22.000Z title="发表于 2023-01-17 14:44:22">2023-01-17</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/6534ce06/" title=栈与队列><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=栈与队列></a><div class=content><a class=title href="/posts/6534ce06/" title=栈与队列>栈与队列</a><time datetime=2022-12-31T06:18:56.000Z title="发表于 2022-12-31 14:18:56">2022-12-31</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/40f24371/" title=线性表><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg 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diff --git a/categories/index.html b/categories/index.html
new file mode 100644
index 000000000..d7ddb3f3f
--- /dev/null
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@@ -0,0 +1,430 @@
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+}
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class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas fa-archive"></i><span>归档</span></a></div><div class=menus_item><a class=site-page href="/tags/"><i class="fa-fw fas fa-tags"></i><span>标签</span></a></div><div class=menus_item><a class=site-page href="/categories/"><i class="fa-fw fas fa-folder-open"></i><span>分类</span></a></div><div class=menus_item><a class="site-page group" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fa-fw fas fa-list"></i><span>菜单</span><i class="fas fa-chevron-down"></i></a><ul class=menus_item_child><li><a class="site-page child" href="/music/"><i class="fa-fw fas fa-music"></i><span>音乐</span></a></li><li><a class="site-page child" href="/drive/"><i class="fa-fw fas fa-cloud"></i><span>网盘</span></a></li><li><a class="site-page child" target=_blank rel="noopener external nofollow noreferrer" href=https://blog.refrain.cf><i class="fa-fw iconfont icon-netlify"></i><span>博客镜像</span></a></li></ul></div><div class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=page id=body-wrap><header class=not-home-page id=page-header style="background-image: url('https://npm.elemecdn.com/nova1751-sources/blogImg/top.jpg')"><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-search fa-fw"></i><span>搜索</span></a></div><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas 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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><a id=to_comment href=#post-comment title=直达评论><i class="fas fa-comments"></i></a><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax><script>if (!window.MathJax) {
+  window.MathJax = {
+    tex: {
+      inlineMath: [['$', '$'], ['\\(', '\\)']],
+      tags: 'ams'
+    },
+    chtml: {
+      scale: 1.1
+    },
+    options: {
+      renderActions: {
+        findScript: [10, doc => {
+          for (const node of document.querySelectorAll('script[type^="math/tex"]')) {
+            const display = !!node.type.match(/; *mode=display/)
+            const math = new doc.options.MathItem(node.textContent, doc.inputJax[0], display)
+            const text = document.createTextNode('')
+            node.parentNode.replaceChild(text, node)
+            math.start = {node: text, delim: '', n: 0}
+            math.end = {node: text, delim: '', n: 0}
+            doc.math.push(math)
+          }
+        }, '']
+      }
+    }
+  }
+  
+  const script = document.createElement('script')
+  script.src = 'https://cdn.jsdelivr.net/npm/mathjax/es5/tex-mml-chtml.min.js'
+  script.id = 'MathJax-script'
+  script.async = true
+  document.head.appendChild(script)
+} else {
+  MathJax.startup.document.state(0)
+  MathJax.texReset()
+  MathJax.typesetPromise()
+}</script><script>(()=>{
+  const init = () => {
+    twikoo.init(Object.assign({
+      el: '#twikoo-wrap',
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      onCommentLoaded: function () {
+        btf.loadLightbox(document.querySelectorAll('#twikoo .tk-content img:not(.tk-owo-emotion)'))
+      }
+    }, null))
+  }
+
+  const getCount = () => {
+    const countELement = document.getElementById('twikoo-count')
+    if(!countELement) return
+    twikoo.getCommentsCount({
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      urls: [window.location.pathname],
+      includeReply: false
+    }).then(function (res) {
+      countELement.textContent = res[0].count
+    }).catch(function (err) {
+      console.error(err);
+    });
+  }
+
+  const runFn = () => {
+    init()
+    
+  }
+
+  const loadTwikoo = () => {
+    if (typeof twikoo === 'object') {
+      setTimeout(runFn,0)
+      return
+    } 
+    getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runFn)
+  }
+
+  if ('Twikoo' === 'Twikoo' || !true) {
+    if (true) btf.loadComment(document.getElementById('twikoo-wrap'), loadTwikoo)
+    else loadTwikoo()
+  } else {
+    window.loadOtherComment = () => {
+      loadTwikoo()
+    }
+  }
+})()</script></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git "a/categories/\346\225\260\346\215\256\347\273\223\346\236\204/index.html" "b/categories/\346\225\260\346\215\256\347\273\223\346\236\204/index.html"
new file mode 100644
index 000000000..e64498312
--- /dev/null
+++ "b/categories/\346\225\260\346\215\256\347\273\223\346\236\204/index.html"
@@ -0,0 +1,347 @@
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{
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git "a/categories/\347\231\276\345\256\235\347\256\261/index.html" "b/categories/\347\231\276\345\256\235\347\256\261/index.html"
new file mode 100644
index 000000000..8ab472001
--- /dev/null
+++ "b/categories/\347\231\276\345\256\235\347\256\261/index.html"
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>分类: 百宝箱 | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=希亚的西红柿のBlog><meta property=og:url content=http://refrain.cf/categories/%E7%99%BE%E5%AE%9D%E7%AE%B1/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/categories/%E7%99%BE%E5%AE%9D%E7%AE%B1/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
+  root: '/',
+  algolia: {"appId":"F7ZHZW0YLX","apiKey":"b990de8d71cb9195d609960745ef872c","indexName":"blog-search","hits":{"per_page":6},"languages":{"input_placeholder":"搜索文章","hits_empty":"找不到您查询的内容：${query}","hits_stats":"找到 ${hits} 条结果，用时 ${time} 毫秒"}},
+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
+    success: '复制成功',
+    error: '复制错误',
+    noSupport: '浏览器不支持'
+  },
+  relativeDate: {
+    homepage: false,
+    post: false
+  },
+  runtime: '天',
+  dateSuffix: {
+    just: '刚刚',
+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
+    month: '个月前'
+  },
+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
+  lightbox: 'fancybox',
+  Snackbar: undefined,
+  source: {
+    justifiedGallery: {
+      js: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.js',
+      css: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.css'
+    }
+  },
+  isPhotoFigcaption: true,
+  islazyload: true,
+  isAnchor: true,
+  percent: {
+    toc: true,
+    rightside: true,
+  },
+  autoDarkmode: false
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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/comments/index.html b/comments/index.html
new file mode 100644
index 000000000..b6b80aa1b
--- /dev/null
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@@ -0,0 +1,474 @@
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+}
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+[data-theme='dark']
+.formmain {
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+}
+[data-theme='dark']
+.comments {
+  background: #5a5a5a !important;
+}</style><div id=maincontent><div id=form-wrap><img class=no-lightbox id=beforeimg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/hexo-butterfly-envelope/lib/before.png><div id=envelope><form><div class=formmain style="pointer-events: none;"><img class="headerimg no-lightbox" src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/hexo-butterfly-envelope/lib/violet.jpg style="width: 100%;overflow: hidden;pointer-events: none;"><div class=comments-main><h3 class=title3 style="text-decoration: none;color: $theme-color;text-align: center;">来自希亚的西红柿的留言:</h3><div class=comments style="text-align: center;border-bottom: #ddd 1px solid;border-left: #ddd 1px solid;padding-bottom: 20px;background-color: #eee;margin: 15px 0px;padding-left: 20px;padding-right: 20px;border-top: #ddd 1px solid;border-right: #ddd 1px solid;padding-top: 20px;"><div>有什么想问的？</div><div>有什么想说的？</div><div>有什么想吐槽的？</div><div>哪怕是有什么想吃的，都可以告诉我哦~</div></div><div class=bottomcontent style="text-align: center;margin-top: 40px;"><img class="bottomimg no-lightbox" src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/hexo-butterfly-envelope/lib/line.png style="width: 100%;margin: 5px auto 5px auto;display: block;pointer-events: none;"></div><p class=bottomhr style="font-size: 12px;text-align: center;color: #999;">自动书记人偶竭诚为您服务！</p></div></div></form></div><img class=no-lightbox id=afterimg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/hexo-butterfly-envelope/lib/after.png></div></div></div><hr class=custom-hr><div id=post-comment><div class=comment-head><div class=comment-headline><i class="fas fa-comments fa-fw"></i><span>评论</span></div></div><div class=comment-wrap><div><div 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+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/css/custom.css b/css/custom.css
new file mode 100644
index 000000000..8d641f13f
--- /dev/null
+++ b/css/custom.css
@@ -0,0 +1 @@
+body,html{font-family:"LXGW WenKai"}#article-container code{font-family:"LXGW WenKai",consolas,Menlo,"PingFang SC","Microsoft YaHei",sans-serif!important}.card-clock-location,.card-clock-windDir,span.card-clock-weather{font-family:LXGW WenKai!important}.aplayer.aplayer-fixed.aplayer-narrow .aplayer-body{left:-66px!important}.aplayer.aplayer-fixed.aplayer-narrow .aplayer-body:hover{left:0!important}#footer-wrap .copyright{color:var(--font-color)}#web_bg{background-color:#ffdee9;background-image:linear-gradient(45deg,#ffdee9 0,#b5fffc 100%)}[data-theme=dark] #web_bg{background-color:#74ebd5;background-image:linear-gradient(180deg,#74ebd5 0,#9face6 100%)}#aside-content .card-widget,#content-inner>div:not([class]),#recent-posts>.recent-post-item,#sidebar #sidebar-menus,body #page-header.not-top-img #nav{background:rgba(255,255,255,.5)}@media screen and (max-width:768px){#aside-content .card-widget#card-toc,#sidebar #sidebar-menus{backdrop-filter:blur(10px)}}#nav .menus_items .menus_item .menus_item_child{background:rgba(255,255,255,.8)}[data-theme=dark] #nav .menus_items .menus_item .menus_item_child{background:rgba(0,0,0,.8)}[data-theme=dark] #aside-content .card-widget,[data-theme=dark] #content-inner>div:not([class]),[data-theme=dark] #recent-posts>.recent-post-item,[data-theme=dark] #sidebar #sidebar-menus,[data-theme=dark] body #page-header.not-top-img #nav{background:rgba(0,0,0,.5)}.fas.fa-envelope{color:#39c7f3}.fab.fa-bilibili{color:#00b3ef}.fas.fa-rss{color:#d68650}.fab.fa-telegram{color:#34a9e5}#footer-wrap .footer_custom_text img{vertical-align:middle}#footer-wrap .footer_custom_text a{line-height:1}:root{--cursor-arrow:url("pointer/Arrow.cur");--cursor-backrunning:url("pointer/Hand2.cur");--cursor-ban:url("pointer/NO.cur");--cursor-help:url("pointer/Help.cur");--cursor-link:url("pointer/Hand.cur");--cursor-input:url("pointer/IBeam.cur");--cursor-copy:url("pointer/Copy.cur")}body,html{cursor:var(--cursor-arrow),auto}#article-container img{cursor:var(--cursor-backrunning),auto}a:hover{cursor:var(--cursor-link),auto}input:hover,textarea:hover{cursor:var(--cursor-input),auto}summary:hover{cursor:var(--cursor-help),auto!important}#twikoo svg,button:hover{cursor:var(--cursor-backrunning),auto}#footer-wrap a:hover{cursor:var(--cursor-link),auto}#pagination .page-number:hover{cursor:var(--cursor-link),auto}#nav .site-page:hover{cursor:var(--cursor-link),auto}#article-container .tabs>.nav-tabs>.tab.active button{cursor:var(--cursor-arrow),auto}:disabled{cursor:var(--cursor-ban),auto!important}.fas.fa-paste.copy-button{cursor:var(--cursor-copy),auto!important}::-webkit-scrollbar-thumb{background-color:#80c8f8;border-radius:4px;box-shadow:0 0 1px rgba(255,255,255,.01)}[data-theme=dark] ::-webkit-scrollbar-thumb{background-color:#2a2a2a}#nav .site-page:not(.child):after{border-radius:1.5px}#aside-content .card-categories ul.card-category-list li,#aside-content .card-info #card-info-btn{border-radius:6px}#algolia-search .search-dialog .ais-Pagination .ais-Pagination-item .ais-Pagination-link,#aside-content #card-toc .toc-content .toc-link,#aside-content .aside-list>.aside-list-item .thumbnail,#aside-content .card-archives ul.card-archive-list li,#aside-content .card-archives ul.card-archive-list>.card-archive-list-item a,#aside-content .card-categories ul.card-category-list>.card-category-list-item a,#sidebar #sidebar-menus .menus_items .site-page,.article-sort-item-img,.layout>div:not(.recent-posts) .pagination .page-number{border-radius:6px}.pace .pace-progress{background-color:#80c8f8;border-radius:1px}
\ No newline at end of file
diff --git a/css/index.css b/css/index.css
new file mode 100644
index 000000000..a6fe12ca5
--- /dev/null
+++ b/css/index.css
@@ -0,0 +1 @@
+/*! normalize.css v8.0.1 | MIT License | github.com/necolas/normalize.css */html{line-height:1.15;-webkit-text-size-adjust:100%}body{margin:0}main{display:block}h1{font-size:2em;margin:.67em 0}hr{box-sizing:content-box;height:0;overflow:visible}pre{font-family:monospace,monospace;font-size:1em}a{background-color:transparent}abbr[title]{border-bottom:none;text-decoration:underline;text-decoration:underline 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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=page-site-info><h1 id=site-title>个人网盘</h1></div></header><main class=layout id=content-inner><div id=page><div id=article-container><a class=site-card target=_blank rel="noopener external nofollow noreferrer" href=https://yuki.refrain.cf><div class=img><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230922225954.png></div><div class=info><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://alist.nn.ci/logo.svg><span class=title>alist</span><span class=desc>希亚的西红柿的资源小站</span></div></a> <a class=site-card target=_blank rel="noopener external nofollow noreferrer" href=https://noa.refrain.cf><div class=img><img 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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><a id=to_comment href=#post-comment title=直达评论><i class="fas fa-comments"></i></a><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax><script>if (!window.MathJax) {
+  window.MathJax = {
+    tex: {
+      inlineMath: [['$', '$'], ['\\(', '\\)']],
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+    chtml: {
+      scale: 1.1
+    },
+    options: {
+      renderActions: {
+        findScript: [10, doc => {
+          for (const node of document.querySelectorAll('script[type^="math/tex"]')) {
+            const display = !!node.type.match(/; *mode=display/)
+            const math = new doc.options.MathItem(node.textContent, doc.inputJax[0], display)
+            const text = document.createTextNode('')
+            node.parentNode.replaceChild(text, node)
+            math.start = {node: text, delim: '', n: 0}
+            math.end = {node: text, delim: '', n: 0}
+            doc.math.push(math)
+          }
+        }, '']
+      }
+    }
+  }
+  
+  const script = document.createElement('script')
+  script.src = 'https://cdn.jsdelivr.net/npm/mathjax/es5/tex-mml-chtml.min.js'
+  script.id = 'MathJax-script'
+  script.async = true
+  document.head.appendChild(script)
+} else {
+  MathJax.startup.document.state(0)
+  MathJax.texReset()
+  MathJax.typesetPromise()
+}</script><script>(()=>{
+  const init = () => {
+    twikoo.init(Object.assign({
+      el: '#twikoo-wrap',
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      onCommentLoaded: function () {
+        btf.loadLightbox(document.querySelectorAll('#twikoo .tk-content img:not(.tk-owo-emotion)'))
+      }
+    }, null))
+  }
+
+  const getCount = () => {
+    const countELement = document.getElementById('twikoo-count')
+    if(!countELement) return
+    twikoo.getCommentsCount({
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      urls: [window.location.pathname],
+      includeReply: false
+    }).then(function (res) {
+      countELement.textContent = res[0].count
+    }).catch(function (err) {
+      console.error(err);
+    });
+  }
+
+  const runFn = () => {
+    init()
+    
+  }
+
+  const loadTwikoo = () => {
+    if (typeof twikoo === 'object') {
+      setTimeout(runFn,0)
+      return
+    } 
+    getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runFn)
+  }
+
+  if ('Twikoo' === 'Twikoo' || !true) {
+    if (true) btf.loadComment(document.getElementById('twikoo-wrap'), loadTwikoo)
+    else loadTwikoo()
+  } else {
+    window.loadOtherComment = () => {
+      loadTwikoo()
+    }
+  }
+})()</script></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
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href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav></header><main class=layout id=content-inner><div class=recent-posts id=recent-posts><div class=recent-post-item><div class="post_cover left"><a href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230304182253.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=Windows/Ubuntu双系统安装教程></a></div><div class=recent-post-info><a class=article-title href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程>Windows/Ubuntu双系统安装教程</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2023-03-04T09:52:55.000Z title="发表于 2023-03-04 17:52:55">2023-03-04</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E7%99%BE%E5%AE%9D%E7%AE%B1/">百宝箱</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/Windows/">Windows</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/Ubuntu/">Ubuntu</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E8%99%9A%E6%8B%9F%E6%9C%BA/">虚拟机</a></span></div><div class=content>本文主要记录笔者 PC 安装 Windows/Ubuntu 双系统的过程、Windows 平台下 VMware 虚拟机安装 Ubuntu 的配置过程、以及双系统 Ubuntu 卸载的注意事项。 本文中 Ubuntu 安装环境：CPU：Intel i7-12700h,GPU：RTX 3060 laptop GPU,OS：Windows 11 Professional。 查看参考教程 参考方向教程原帖Ubuntu 双系统安装基本框架Ubuntu/Windows 双系统安装巨详细——全面解决各种问题（疑难杂症），有手就行EFI 分区如何卸载彻底删除 Ubuntu EFI 分区及启动项 VMware Ubuntu 安装教程在 VMware16 虚拟机安装 Ubuntu 详细教程 制作 Ubuntu 启动盘注意：制作Ubuntu启动盘将格式化 U 盘内的所有内容，U 盘内有文件请及时做好备份。 准备一个容量大于 5GB的 U 盘，此 U 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fa-tag"></i><a class=article-meta__tags href="/tags/Java/">Java</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E7%BC%96%E7%A8%8B%E5%AD%A6%E4%B9%A0/">编程学习</a></span></div><div class=content>本篇文章将作为编程语言 JAVA 的学习笔记，供以后查阅与复习使用。 此 JAVA 学习笔记参考自 菜鸟 JAVA 教程 。 本学习笔记以 查询和复习 为主要功能，文章内容应 短小精悍 。 Java 主要特性 查看Java 主要特性 关于 Java 特性的介绍的文字可能比较多 emm。。。主要因为我是照搬的 ，不过只需要简单了解，但需要特别注意的是 Java 与 C++的一个重要区别为 Java 不使用指针而是引用，这对后面理解 Java 程序有很大的帮助。Java 语言是简单的：Java 语言的语法与 C 语言和 C++ 语言很接近，使得大多数程序员很容易学习和使用。另一方面，Java 丢弃了 C++ 中很少使用的、很难理解的、令人迷惑的那些特性，如操作符重载、多继承、自动的强制类型转换。特别地，Java 语言不使用指针，而是引用。并提供了自动分配和回收内存空间，使得程序员不必为内存管理而担忧。Java 语言是面向对象的：Java 语言提供类、接口和继承等面向对象的特性，为了简单起见，只支持类之间的单继承，但支持接口之 ...</div></div></div><div class=recent-post-item><div class="post_cover left"><a href="/posts/6534ce06/" title=栈与队列><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=栈与队列></a></div><div class=recent-post-info><a class=article-title href="/posts/6534ce06/" title=栈与队列>栈与队列</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-12-31T06:18:56.000Z title="发表于 2022-12-31 14:18:56">2022-12-31</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E6%A0%88/">栈</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E9%98%9F%E5%88%97/">队列</a></span></div><div class=content>本篇文章将详细讲述数据结构 栈与队列 章节的内容。 本教程编程语言采用 JAVA ,文章框架参考自 HUST数据结构PPT ,源码内容参考自 尚硅谷 JAVA 数据结构教程 。 栈与队列章节部分概念方面比较简单，重点将放在具体的代码实现过程中。 栈的定义与操作定义与术语 栈的基本操作 Initstack(s) // 置 s 为空栈 Push(s,e) // 元素 e 进栈 s Pop(s,e // 元素 e 出栈 s Gettop(s,e) // 顶元素拷贝到 e Empty(s) // 判断是否为空栈 栈的应用场景： 子程序的调用:在跳往子程序前，会先将下个指令的地址存到堆栈中，直到子程序执行完后再将地址取出，以回到原来的程序中。如方法中调用方法。 处理递归调用:和子程序调用类似，只是除了存储下一个指令的地址外，也将参数、区域变量等数据存入堆栈中。 表达式的转换（中缀表达式转后缀表达式）与求值（实际解决） 二叉树的遍历 图形的深度优先（depth-first）搜索法 栈的存储表示和操作实现顺序栈（用数组来模拟栈） 实现思路 定义一个数组，来模拟栈。 定义一个top ...</div></div></div><div class=recent-post-item><div class="post_cover right"><a href="/posts/40f24371/" title=线性表><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=线性表></a></div><div class=recent-post-info><a class=article-title href="/posts/40f24371/" title=线性表>线性表</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-12-24T13:23:10.000Z title="发表于 2022-12-24 21:23:10">2022-12-24</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E7%BA%BF%E6%80%A7%E8%A1%A8/">线性表</a></span></div><div class=content>本篇文章将详细讲述数据结构 线性表 章节的内容，没想到距离上次更新已经快两个礼拜了。 本教程编程语言采用 JAVA ,文章框架参考自 HUST数据结构PPT ,源码内容参考自 尚硅谷 JAVA 数据结构教程 。 线性表章节部分将简单讲述概念方面的问题，重点将放在具体的代码实现过程中。 线性表的定义线性表的逻辑结构 线性表：由$n(n≥0)$个数据元素$(a_1,a_2,…, a_n)$构成的有限序列，记作: $L=(a_1,a_2,…,a_n)$，$a_1$称为首元素，$a_n$称为尾元素。 表长：线性表中数据元素的数目。 空表：不含数据元素的线性表。 在线性表$L=(a_1,a_2,…,a_n)$中： $a_{i-1}$是$a_i$的直接前驱（1&lt;i&lt;=n） $a_{i+1}$是$a_i$的直接后继（1&lt;=i&lt;n） $a_1$没有前驱，$a_n$没有后继,$a_i$有且仅有一个前驱和后继（1&lt;i&lt;n） 抽象数据类型线性表的定义抽象类型的线性表主要定义几个属性和方法 InitList(&amp;L) //构造空表 L。 Lengt ...</div></div></div><div class=recent-post-item><div class="post_cover left"><a href="/posts/b67f488/" title=Win10/11任务栏透明美化><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/cover.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=Win10/11任务栏透明美化></a></div><div class=recent-post-info><a class=article-title href="/posts/b67f488/" title=Win10/11任务栏透明美化>Win10/11任务栏透明美化</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-12-02T12:18:18.000Z title="发表于 2022-12-02 20:18:18">2022-12-02</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E7%99%BE%E5%AE%9D%E7%AE%B1/">百宝箱</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/Windows/">Windows</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E4%BB%BB%E5%8A%A1%E6%A0%8F/">任务栏</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E7%BE%8E%E5%8C%96/">美化</a></span></div><div class=content>本文主要通过 TranslucentTB 和 RoundedTB 两款轻量软件来实现 win10/11 的任务栏美化，在阅读本教程之前，请确保你的电脑安装了 Microsoft Store 并可以正常下载应用 教程除任务栏透明化外还有进阶的边角美化教程，读者可根据需要自行选择阅读 安装应用 点击查看安装应用 打开 Microsoft Store(微软商店),搜索 TranslucentTB安装 TranslucenTB 注意安装的是 TransclucentTB 原版而不是汉化版，汉化版本只适用与 win10 任务栏完全透明化 TranslucentTB 在 2022 年 12 月的一次更新中添加了中文版本，并解决了之前版本任务栏透明顶部仍有一条细线的问题(之前此问题可配合RoundedTB解决)，现阶段 TranslucentTB 支持中文并且可独立实现 Windows 任务栏透明美化 基本设置介绍配置参数样式预览 Norma ...</div></div></div><div class=recent-post-item><div class="post_cover right"><a href="/posts/b06cc6ec/" title=数据结构绪论><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=数据结构绪论></a></div><div class=recent-post-info><a class=article-title href="/posts/b06cc6ec/" title=数据结构绪论>数据结构绪论</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-09-27T08:42:26.000Z title="发表于 2022-09-27 16:42:26">2022-09-27</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E7%BB%AA%E8%AE%BA/">绪论</a></span></div><div class=content>前言在数据结构课程结课之后，我打算重开之前一直搁置的数据结构教程书写，一方面为加深数据结构的学习印象，另一方面为以后复习做一个参考。 本教程编程语言采用 JAVA ,文章框架参考自 HUST数据结构PPT ,源码内容参考自 尚硅谷 JAVA 数据结构教程 。 绪论部分主要以定义介绍为主，掌握概念即可，复杂度方面将具体对复杂度进行分析,其中具体对时间复杂度进行分析 数据结构的定义 数据结构本身概念的基本定义：数据结构是计算机中存储、组织数据的方式。 数据结构这门学科的基本定义：数据结构是一门研究非数值计算的程序设计问题中计算机的操作对象以及它们之间的关系和操作等相关问题的学科。 基本概念和术语 数据(data)：所有能输入到计算机中并被计算机程序加工、处理的符号的总称。如：整数、实数、字符、声音、图象、图形等。 数据元素(data element):数据的基本单位。（元素、记录、结点、顶点）在计算机程序中通常作为一个整体进行考虑和处理。 数据项(data item):是数据的不可分割的最小单位。如：姓名、年龄等。一个数据元素可由一个或多个数据项组成。如: (姓名、年龄) 数据对 ...</div></div></div><div class=recent-post-item><div class="post_cover left"><a href="/posts/75378e04/" title=机器学习基本概念与知识><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230922210828.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=机器学习基本概念与知识></a></div><div class=recent-post-info><a class=article-title href="/posts/75378e04/" title=机器学习基本概念与知识>机器学习基本概念与知识</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-08-20T02:42:24.000Z title="发表于 2022-08-20 10:42:24">2022-08-20</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span></div><div class=content>本文主要介绍机器学习的基本概念与知识，文字比较简洁内容并不长，主要用于记录学习内容，方便之后复习 主要任务 分类（classification）: 将实例数据划分到合适的类别中。 应用实例: 判断网站是否被黑客入侵（二分类 ），手写数字的自动识别（多分类） 回归（regression）: 主要用于预测数值型数据。 应用实例: 股票价格波动的预测，房屋价格的预测等。 监督学习(supervised learning) 特点：训练样本同时具有特征与目标变量的机器学习算法。 特征通常是训练样本集的列，它们是独立测量得到的。 目标变量: 目标变量是机器学习预测算法的测试结果。 监督学习需要注意的问题: 偏置方差权衡 功能的复杂性和数量的训练数据 输入空间的维数 噪声中的输出值 非监督学习(unsupervised learning) 特点：训练样本没有目标变量，即是指在没有类别信息情况下，通过对所研究对象的大量样本的数据分析实现对样本分类的一种数据处理方法。 非监督学习包括的类型： 聚类: 在无监督学习中，将数据集分成由类似的对象组成多个类的过程称为聚类。 密度估计: ...</div></div></div><div class=recent-post-item><div class="post_cover right"><a href="/posts/170bc017/" title=使用numpy实现k-means聚类算法><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230922210828.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=使用numpy实现k-means聚类算法></a></div><div class=recent-post-info><a class=article-title href="/posts/170bc017/" title=使用numpy实现k-means聚类算法>使用numpy实现k-means聚类算法</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-08-17T01:03:20.000Z title="发表于 2022-08-17 09:03:20">2022-08-17</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/Numpy/">Numpy</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/Python/">Python</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/k-means/">k-means</a></span></div><div class=content>k-means 算法基础原理 本文注重对 k-means 算法的实现作出分析，基础原理不作赘述。 k-means 算法的特点1. k-means 算法的基本概念： k 代表分为几个簇 means 表示寻求新质心点的时候采用求均值的方法 2. k-means 算法的特点： k-means 算法与 knn 算法类似，都是需要“聚类” k-means 算法是无监督学习算法的一种 k-means 算法的实现步骤： 随机选取 K 个对象，并以它们为质心； 计算数据集样本点到质心的距离； 根据样本点距离质心的距离将其分簇（类），距离哪个近，划分到哪个簇（类）； 以簇内所有样本点的均值重新计算质心，，然后重复第二步，直到划分的簇（类）不在变化后停止。 k-means 算法代码实现模块的导入与 K 均值聚类算法类的定义123456789101112131415161718192021222324252627282930313233343536373839404142434445464748import randomimport numpy as npfrom matplotlib impo ...</div></div></div><div class=recent-post-item><div class="post_cover left"><a href="/posts/775eb342/" title=使用Numpy实现k-Nearest-Neighbor算法><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230922210828.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=使用Numpy实现k-Nearest-Neighbor算法></a></div><div class=recent-post-info><a class=article-title href="/posts/775eb342/" title=使用Numpy实现k-Nearest-Neighbor算法>使用Numpy实现k-Nearest-Neighbor算法</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-08-14T06:08:58.000Z title="发表于 2022-08-14 14:08:58">2022-08-14</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/python/">python</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/Numpy/">Numpy</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/kNN%E7%AE%97%E6%B3%95/">kNN算法</a></span></div><div class=content>KNN 算法基本原理kNN 算法的核心思想是用距离最近的 k 个样本数据的分类来代表目标数据的分类。 用俗话来说就是 “近朱者赤，近墨者黑”，采用距离最近的 k 个样本中占比最高的类别来代表测试数据的类别。 注意 KNN 算法仍然是有监督学习算法的一种 KNN 算法的特点 优点： 监督学习：可以看到，kNN 算法首先需要一个训练样本集，这个集合中含有分类信息，因此它属于监督学习。 通过计算距离来衡量样本之间相似度，算法简单，易于理解和实现。 对异常值不敏感 缺点： 需要设定 k 值，结果会受到 k 值的影响，不同的 k 值，最后得到的分类结果不尽相同。k 一般不超过 20。 计算量大，需要计算样本集中每个样本的距离，才能得到 k 个最近的数据样本。 训练样本集不平衡导致结果不准确问题。当样本集中主要是某个分类，该分类数量太大，导致近邻的 k 个样本总是该类，而不接近目标分类。 KNN 算法的流程 一般情况下，kNN 有如下流程： 收集数据：确定训练样本集合测试数据； 计算测试数据和训练样本集中每个样本数据的距离； 常用的距离计算公式： 欧式距离计算公式：d(x, ...</div></div></div><div class=recent-post-item><div class="post_cover right"><a href="/posts/54c08517/" title="Python实现决策树(Decision Tree)算法"><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230922210828.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt="Python实现决策树(Decision Tree)算法"></a></div><div class=recent-post-info><a class=article-title href="/posts/54c08517/" title="Python实现决策树(Decision Tree)算法">Python实现决策树(Decision Tree)算法</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-08-07T06:13:25.000Z title="发表于 2022-08-07 14:13:25">2022-08-07</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/python/">python</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E5%86%B3%E7%AD%96%E6%A0%91/">决策树</a></span></div><div class=content>决策树算法基础原理分析信息的不纯度(决定决策树分支的指标) 不纯度是在决策树中衡量特征分裂优异性的最主要的指标，用于衡量样本在根据某一特征的分类标准分裂后，样本是否被正确分类的准确程度。 主要有 3 种计算方式，分别对应了 3 类决策树： 决策树类别 不纯度计算方式 ID3 信息增益（Information Gain） C4.5 信息增益率（Information Gain Ratio） CART 基尼系数（Gini index） 信息熵的计算信息熵的计算公式为： $ H(D)=-\displaystyle\sum_{i=1}^n p_i log_2 p_i $ 其中$ n $为样本D的类别数，$ p_i $为该样本所占样本总数的比例 信息增益的计算信息增益的计算公式：$ g(D,A)=H(D)-H(D|A) $ 其中，$ H(D|A) $代表在以$ A $为标准分类后的所有样本的信息熵之和 信息增益率信息增益率的计算公式： $$ IGR=\frac{g(D,A)}{H(A)} $$ 其中 $ H(A) $代表 $ A $ 基尼系数基尼 ...</div></div></div><nav id=pagination><div class=pagination><span class="page-number current">1</span><a class=page-number href=/page/2/#content-inner>2</a><a class="extend next" rel=next href=/page/2/#content-inner><i class="fas fa-chevron-right fa-fw"></i></a></div></nav></div><div class=aside-content id=aside-content><div class="card-widget card-info"><div class=is-center><div class=avatar-img><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png onerror="this.onerror=null;this.src='/img/friend_404.gif'" alt=avatar></div><div class=author-info__name>希亚的西红柿</div><div 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+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/js/hideLrc.js b/js/hideLrc.js
new file mode 100644
index 000000000..ef0618abe
--- /dev/null
+++ b/js/hideLrc.js
@@ -0,0 +1 @@
+const observer=new MutationObserver(((e,r)=>{for(let r of e)"childList"===r.type&&removelrc()})),removelrc=()=>{const e=document.querySelector(".aplayer-icon-lrc");e&&(observer.disconnect(),e.click())},observerConfig={childList:!0,subtree:!0};observer.observe(document,observerConfig);
\ No newline at end of file
diff --git a/js/main.js b/js/main.js
new file mode 100644
index 000000000..42192e22e
--- /dev/null
+++ b/js/main.js
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/js/search/algolia.js b/js/search/algolia.js
new file mode 100644
index 000000000..ef3f8251e
--- /dev/null
+++ b/js/search/algolia.js
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/js/search/local-search.js b/js/search/local-search.js
new file mode 100644
index 000000000..7c6ecc50f
--- /dev/null
+++ b/js/search/local-search.js
@@ -0,0 +1 @@
+class LocalSearch{constructor({path:e="",unescape:t=!1,top_n_per_article:n=1}){this.path=e,this.unescape=t,this.top_n_per_article=n,this.isfetched=!1,this.datas=null}getIndexByWord(e,t,n=!1){const s=[],o=new Set;return n||(t=t.toLowerCase()),e.forEach((e=>{if(this.unescape){const t=document.createElement("div");t.innerText=e,e=t.innerHTML}const i=e.length;if(0===i)return;let r=0,a=-1;for(n||(e=e.toLowerCase());(a=t.indexOf(e,r))>-1;)s.push({position:a,word:e}),o.add(e),r=a+i})),s.sort(((e,t)=>e.position!==t.position?e.position-t.position:t.word.length-e.word.length)),[s,o]}mergeIntoSlice(e,t,n){let s=n[0],{position:o,word:i}=s;const r=[],a=new Set;for(;o+i.length<=t&&0!==n.length;){a.add(i),r.push({position:o,length:i.length});const e=o+i.length;for(n.shift();0!==n.length&&(s=n[0],o=s.position,i=s.word,e>o);)n.shift()}return{hits:r,start:e,end:t,count:a.size}}highlightKeyword(e,t){let n="",s=t.start;for(const{position:o,length:i}of t.hits)n+=e.substring(s,o),s=o+i,n+=`<mark class="search-keyword">${e.substr(o,i)}</mark>`;return n+=e.substring(s,t.end),n}getResultItems(e){const t=[];return this.datas.forEach((({title:n,content:s,url:o})=>{const[i,r]=this.getIndexByWord(e,n),[a,c]=this.getIndexByWord(e,s),l=new Set([...r,...c]).size,h=i.length+a.length;if(0===h)return;const d=[];0!==i.length&&d.push(this.mergeIntoSlice(0,n.length,i));let u=[];for(;0!==a.length;){const e=a[0],{position:t}=e,n=Math.max(0,t-20),o=Math.min(s.length,t+100);u.push(this.mergeIntoSlice(n,o,a))}u.sort(((e,t)=>e.count!==t.count?t.count-e.count:e.hits.length!==t.hits.length?t.hits.length-e.hits.length:e.start-t.start));const g=parseInt(this.top_n_per_article,10);g>=0&&(u=u.slice(0,g));let p="";(o=new URL(o,location.origin)).searchParams.append("highlight",e.join(" ")),0!==d.length?p+=`<div class="local-search-hit-item"><a href="${o.href}"><span class="search-result-title">${this.highlightKeyword(n,d[0])}</span>`:p+=`<div class="local-search-hit-item"><a href="${o.href}"><span class="search-result-title">${n}</span>`,u.forEach((e=>{p+=`<p class="search-result">${this.highlightKeyword(s,e)}...</p></a>`})),p+="</div>",t.push({item:p,id:t.length,hitCount:h,includedCount:l})})),t}fetchData(){const e=!this.path.endsWith("json");fetch(this.path).then((e=>e.text())).then((t=>{this.isfetched=!0,this.datas=e?[...(new DOMParser).parseFromString(t,"text/xml").querySelectorAll("entry")].map((e=>({title:e.querySelector("title").textContent,content:e.querySelector("content").textContent,url:e.querySelector("url").textContent}))):JSON.parse(t),this.datas=this.datas.filter((e=>e.title)).map((e=>(e.title=e.title.trim(),e.content=e.content?e.content.trim().replace(/<[^>]+>/g,""):"",e.url=decodeURIComponent(e.url).replace(/\/{2,}/g,"/"),e))),window.dispatchEvent(new Event("search:loaded"))}))}highlightText(e,t,n){const s=e.nodeValue;let o=t.start;const i=[];for(const{position:e,length:r}of t.hits){const t=document.createTextNode(s.substring(o,e));o=e+r;const a=document.createElement("mark");a.className=n,a.appendChild(document.createTextNode(s.substr(e,r))),i.push(t,a)}e.nodeValue=s.substring(o,t.end),i.forEach((t=>{e.parentNode.insertBefore(t,e)}))}highlightSearchWords(e){const t=new URL(location.href).searchParams.get("highlight"),n=t?t.split(" "):[];if(!n.length||!e)return;const s=document.createTreeWalker(e,NodeFilter.SHOW_TEXT,null),o=[];for(;s.nextNode();)s.currentNode.parentNode.matches("button, select, textarea, .mermaid")||o.push(s.currentNode);o.forEach((e=>{const[t]=this.getIndexByWord(n,e.nodeValue);if(!t.length)return;const s=this.mergeIntoSlice(0,e.nodeValue.length,t);this.highlightText(e,s,"search-keyword")}))}}window.addEventListener("load",(()=>{const{path:e,top_n_per_article:t,unescape:n,languages:s}=GLOBAL_CONFIG.localSearch,o=new LocalSearch({path:e,top_n_per_article:t,unescape:n}),i=document.querySelector("#local-search-input input"),r=document.getElementById("local-search-stats-wrap"),a=document.getElementById("loading-status"),c=()=>{if(!o.isfetched)return;const e=i.value.trim().toLowerCase();""!==e&&(a.innerHTML='<i class="fas fa-spinner fa-pulse"></i>');const t=e.split(/[-\s]+/),n=document.getElementById("local-search-results");let c=[];if(e.length>0&&(c=o.getResultItems(t)),1===t.length&&""===t[0])n.classList.add("no-result"),n.textContent="";else if(0===c.length)n.textContent="",r.innerHTML=`<div class="search-result-stats">${s.hits_empty.replace(/\$\{query}/,e)}</div>`;else{c.sort(((e,t)=>e.includedCount!==t.includedCount?t.includedCount-e.includedCount:e.hitCount!==t.hitCount?t.hitCount-e.hitCount:t.id-e.id));const e=s.hits_stats.replace(/\$\{hits}/,c.length);n.classList.remove("no-result"),n.innerHTML=`<div class="search-result-list">${c.map((e=>e.item)).join("")}</div>`,r.innerHTML=`<hr><div class="search-result-stats">${e}</div>`,window.pjax&&window.pjax.refresh(n)}a.textContent=""};let l=!1;const h=document.getElementById("search-mask"),d=document.querySelector("#local-search .search-dialog"),u=()=>{window.innerWidth<768&&d.style.setProperty("--search-height",window.innerHeight+"px")},g=()=>{const e=document.body.style;e.width="100%",e.overflow="hidden",btf.animateIn(h,"to_show 0.5s"),btf.animateIn(d,"titleScale 0.5s"),setTimeout((()=>{i.focus()}),300),l||(!o.isfetched&&o.fetchData(),i.addEventListener("input",c),l=!0),document.addEventListener("keydown",(function e(t){"Escape"===t.code&&(p(),document.removeEventListener("keydown",e))})),u(),window.addEventListener("resize",u)},p=()=>{const e=document.body.style;e.width="",e.overflow="",btf.animateOut(d,"search_close .5s"),btf.animateOut(h,"to_hide 0.5s"),window.removeEventListener("resize",u)},m=()=>{document.querySelector("#search-button > .search").addEventListener("click",g)};window.addEventListener("search:loaded",(()=>{const e=document.getElementById("loading-database");e.nextElementSibling.style.display="block",e.remove()})),m(),document.querySelector("#local-search .search-close-button").addEventListener("click",p),h.addEventListener("click",p),GLOBAL_CONFIG.localSearch.preload&&o.fetchData(),o.highlightSearchWords(document.getElementById("article-container")),window.addEventListener("pjax:complete",(()=>{!btf.isHidden(h)&&p(),o.highlightSearchWords(document.getElementById("article-container")),m()}))}));
\ No newline at end of file
diff --git a/js/tw_cn.js b/js/tw_cn.js
new file mode 100644
index 000000000..8c7050f62
--- /dev/null
+++ b/js/tw_cn.js
@@ -0,0 +1 @@
+document.addEventListener("DOMContentLoaded",(function(){const{defaultEncoding:t,translateDelay:e,msgToTraditionalChinese:n,msgToSimplifiedChinese:a}=GLOBAL_CONFIG.translate,o=GLOBAL_CONFIG.Snackbar;let l=t;const c="translate-chn-cht";let d,i=void 0===saveToLocal.get(c)?t:Number(saveToLocal.get("translate-chn-cht"));const r=void 0!==o;function h(){document.documentElement.lang=1===i?"zh-TW":"zh-CN"}function s(t){return""===t||null==t?"":1===l&&2===i?function(t){let e="";const 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o=0;o<t.length;o++)t.charCodeAt(o)>1e4&&-1!==a.indexOf(t.charAt(o))?e+=n.charAt(a.indexOf(t.charAt(o))):e+=t.charAt(o);return e}(t):2===l&&1===i?function(t){let e="";const 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index 000000000..1a4b6f524
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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><a id=to_comment href=#post-comment title=直达评论><i class="fas fa-comments"></i></a><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax><script>if (!window.MathJax) {
+  window.MathJax = {
+    tex: {
+      inlineMath: [['$', '$'], ['\\(', '\\)']],
+      tags: 'ams'
+    },
+    chtml: {
+      scale: 1.1
+    },
+    options: {
+      renderActions: {
+        findScript: [10, doc => {
+          for (const node of document.querySelectorAll('script[type^="math/tex"]')) {
+            const display = !!node.type.match(/; *mode=display/)
+            const math = new doc.options.MathItem(node.textContent, doc.inputJax[0], display)
+            const text = document.createTextNode('')
+            node.parentNode.replaceChild(text, node)
+            math.start = {node: text, delim: '', n: 0}
+            math.end = {node: text, delim: '', n: 0}
+            doc.math.push(math)
+          }
+        }, '']
+      }
+    }
+  }
+  
+  const script = document.createElement('script')
+  script.src = 'https://cdn.jsdelivr.net/npm/mathjax/es5/tex-mml-chtml.min.js'
+  script.id = 'MathJax-script'
+  script.async = true
+  document.head.appendChild(script)
+} else {
+  MathJax.startup.document.state(0)
+  MathJax.texReset()
+  MathJax.typesetPromise()
+}</script><script>(()=>{
+  const init = () => {
+    twikoo.init(Object.assign({
+      el: '#twikoo-wrap',
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      onCommentLoaded: function () {
+        btf.loadLightbox(document.querySelectorAll('#twikoo .tk-content img:not(.tk-owo-emotion)'))
+      }
+    }, null))
+  }
+
+  const getCount = () => {
+    const countELement = document.getElementById('twikoo-count')
+    if(!countELement) return
+    twikoo.getCommentsCount({
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      urls: [window.location.pathname],
+      includeReply: false
+    }).then(function (res) {
+      countELement.textContent = res[0].count
+    }).catch(function (err) {
+      console.error(err);
+    });
+  }
+
+  const runFn = () => {
+    init()
+    
+  }
+
+  const loadTwikoo = () => {
+    if (typeof twikoo === 'object') {
+      setTimeout(runFn,0)
+      return
+    } 
+    getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runFn)
+  }
+
+  if ('Twikoo' === 'Twikoo' || !true) {
+    if (true) btf.loadComment(document.getElementById('twikoo-wrap'), loadTwikoo)
+    else loadTwikoo()
+  } else {
+    window.loadOtherComment = () => {
+      loadTwikoo()
+    }
+  }
+})()</script></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/music/index.html b/music/index.html
new file mode 100644
index 000000000..b68f50529
--- /dev/null
+++ b/music/index.html
@@ -0,0 +1,434 @@
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+.aplayer.aplayer-tag-marker.meting-tag-marker.aplayer-withlrc.aplayer-withlist {
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+}
+</style><div id=aplayer-gvtGeFom class="aplayer aplayer-tag-marker meting-tag-marker" data-id=705468337 data-server=netease data-type=playlist data-mode=circulation data-autoplay=false data-mutex=true data-listmaxheight=720px data-preload=auto data-theme=#80c8f8></div></div><hr class=custom-hr><div id=post-comment><div class=comment-head><div class=comment-headline><i class="fas fa-comments fa-fw"></i><span>评论</span></div></div><div class=comment-wrap><div><div id=twikoo-wrap></div></div></div></div></div><div class=aside-content id=aside-content><div class="card-widget card-info"><div class=is-center><div class=avatar-img><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png onerror="this.onerror=null;this.src='/img/friend_404.gif'" alt=avatar></div><div class=author-info__name>希亚的西红柿</div><div class=author-info__description>个人博客</div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class=headline>文章</div><div class=length-num>13</div></a><a href="/tags/"><div class=headline>标签</div><div class=length-num>23</div></a><a href="/categories/"><div class=headline>分类</div><div class=length-num>5</div></a></div><a id=card-info-btn target=_blank rel="noopener external nofollow noreferrer" href=https://github.com/nova1751><i class="fab fa-github"></i><span>Follow Me</span></a><div class="card-info-social-icons is-center"><a class=social-icon href=mailto:nova2319427728@outlook.com rel="external nofollow noreferrer" target=_blank title=Email><i class="fas fa-envelope"></i></a><a class=social-icon href=https://space.bilibili.com/325854600 rel="external nofollow noreferrer" target=_blank title=Bilibili><i class="fab fa-bilibili"></i></a><a class=social-icon href=https://t.me/nova1751 rel="external nofollow noreferrer" target=_blank title=Telegram><i class="fab fa-telegram"></i></a><a class=social-icon href=https://refrain.cf/atom.xml 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class=aside-list-item><a class=thumbnail href="/posts/8d55d49a/" title=JAVA学习笔记><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20230117145620.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=JAVA学习笔记></a><div class=content><a class=title href="/posts/8d55d49a/" title=JAVA学习笔记>JAVA学习笔记</a><time datetime=2023-01-17T06:44:22.000Z title="发表于 2023-01-17 14:44:22">2023-01-17</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/6534ce06/" title=栈与队列><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=栈与队列></a><div class=content><a class=title href="/posts/6534ce06/" title=栈与队列>栈与队列</a><time datetime=2022-12-31T06:18:56.000Z title="发表于 2022-12-31 14:18:56">2022-12-31</time></div></div><div 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17:20:58">2022-08-06</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/python/">python</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/Numpy/">Numpy</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E9%80%BB%E8%BE%91%E5%9B%9E%E5%BD%92/">逻辑回归</a></span></div><div class=content>前言：本文旨在对如何使用 numpy 实现逻辑回归拟合的过程做具体分析，有关逻辑回归原理部分不做过多论述。 数据集准备准备用于二分类的数据集,可直接复制到对应的 txt 文件-0.017612 14.053064 0 -1.395634 4.662541 1 -0.752157 6.538620 0 -1.322371 7.152853 0 0.423363 11.054677 0 0.406704 7.067335 1 0.667394 12.741452 0 -2.460150 6.866805 1 0.569411 9.548755 0 -0.026632 10.427743 0 0.850433 6.920334 1 1.347183 13.175500 0 1.1 ...</div></div></div><div class=recent-post-item><div class="post_cover right"><a href="/posts/20642/" title="线性回归 (Linear Regression)"><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230922210828.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt="线性回归 (Linear Regression)"></a></div><div class=recent-post-info><a class=article-title href="/posts/20642/" title="线性回归 (Linear Regression)">线性回归 (Linear Regression)</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-07-22T06:59:02.000Z title="发表于 2022-07-22 14:59:02">2022-07-22</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas fa-inbox"></i><a class=article-meta__categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span><span class="article-meta tags"><span class=article-meta-separator>|</span><i class="fas fa-tag"></i><a class=article-meta__tags href="/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/python/">python</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/Numpy/">Numpy</a><span class=article-meta-link>•</span><a class=article-meta__tags href="/tags/%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92/">线性回归</a></span></div><div class=content>利用 Numpy 实现简单的机器学习算法 线性回归（Linear Regression） 可能是最流行的机器学习算法。线性回归就是要找一条直线，并且让这条直线尽可能地拟合散点图中的数据点。 前言 线性回归作为高中数学统计题比较重要的内容，先对其原理与推导过程不做详细讨论，重点通过代码来运用 python 模块实现线性回归算法。 线性回归算法的简单介绍线性模型：给定由 d 个属性描述的示例，线性模型试图学得一个通过属性的线性组合来进行预测的函数。 线性回归试图学得一个线性模型以尽可能准确的预测实值输出标记，公式： $ f(x) = w^Tx+b $$ f(x_i) = wx_i + b $，使得 $ f(x_i) ≈ y_i $ 实现线性回归算法的目标与方法我们的任务就是求出 w 和 b，可用均方误差最小化的方法，基于均方误差最小化来进行模型求解的方法称为最小二乘法，在线性回归中，最小二乘法就是试图找到一条直线，使得所有样本数据点到达直线的欧氏距离最小。总距离是所有数据点的垂直距离的平方和。其思想是通过最小化这个平方误差或距离来拟合模型。 代码具体实现过程定义线性回归函数 np. ...</div></div></div><div class=recent-post-item><div class="post_cover left"><a href="/posts/47341/" title=关于cloudflare对网站搭建的使用><img class=post-bg src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230922210231.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=关于cloudflare对网站搭建的使用></a></div><div class=recent-post-info><a class=article-title href="/posts/47341/" title=关于cloudflare对网站搭建的使用>关于cloudflare对网站搭建的使用</a><div class=article-meta-wrap><span class=post-meta-date><i class="far fa-calendar-alt"></i><span class=article-meta-label>发表于</span><time datetime=2022-07-18T10:54:13.000Z title="发表于 2022-07-18 18:54:13">2022-07-18</time></span><span class=article-meta><span class=article-meta-separator>|</span><i class="fas 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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/posts/170bc017/index.html b/posts/170bc017/index.html
new file mode 100644
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--- /dev/null
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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>使用numpy实现k-means聚类算法</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2022-08-17T01:03:20.000Z title="发表于 2022-08-17 09:03:20">2022-08-17</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2022-08-17T01:03:20.000Z title="更新于 2022-08-17 09:03:20">2022-08-17</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>1.2k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>5分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=使用numpy实现k-means聚类算法><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><h2 id=k-means-算法基础原理><a href=#k-means-算法基础原理 class=headerlink title="k-means 算法基础原理"></a>k-means 算法基础原理</h2><blockquote><p>本文注重对 k-means 算法的实现作出分析，基础原理不作赘述。</p></blockquote><h3 id=k-means-算法的特点><a href=#k-means-算法的特点 class=headerlink title="k-means 算法的特点"></a>k-means 算法的特点</h3><p><strong>1. k-means 算法的基本概念：</strong></p><ul><li>k 代表分为几个簇</li><li>means 表示寻求新质心点的时候采用求均值的方法</li></ul><p><strong>2. k-means 算法的特点：</strong></p><ul><li>k-means 算法与 knn 算法类似，都是需要“聚类”</li><li>k-means 算法是无监督学习算法的一种</li></ul><h3 id=k-means-算法的实现步骤：><a href=#k-means-算法的实现步骤： class=headerlink title="k-means 算法的实现步骤："></a>k-means 算法的实现步骤：</h3><ol><li>随机选取 K 个对象，并以它们为质心；</li><li>计算数据集样本点到质心的距离；</li><li>根据样本点距离质心的距离将其分簇（类），距离哪个近，划分到哪个簇（类）；</li><li>以簇内所有样本点的均值重新计算质心，，然后重复第二步，直到划分的簇（类）不在变化后停止。</li></ol><h2 id=k-means-算法代码实现><a href=#k-means-算法代码实现 class=headerlink title="k-means 算法代码实现"></a>k-means 算法代码实现</h2><h3 id=模块的导入与-K-均值聚类算法类的定义><a href=#模块的导入与-K-均值聚类算法类的定义 class=headerlink title="模块的导入与 K 均值聚类算法类的定义"></a>模块的导入与 K 均值聚类算法类的定义</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>import</span> random</span><br><span class=line></span><br><span class=line><span class=keyword>import</span> numpy <span class=keyword>as</span> np</span><br><span class=line><span class=keyword>from</span> matplotlib <span class=keyword>import</span> pyplot <span class=keyword>as</span> plt</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>class</span> <span class="title class_">KMeans</span>:</span><br><span class=line>    <span class=string>&quot;&quot;&quot;</span></span><br><span class=line><span class=string>    K-means clustering(K均值聚类)</span></span><br><span class=line><span class=string>    &quot;&quot;&quot;</span></span><br><span class=line></span><br><span class=line>    <span class=keyword>def</span> <span class="title function_">__init__</span>(<span class=params>self, n_clusters: <span class=built_in>int</span>, iterations=<span class=number>100</span>, eps=<span class=number>1e-3</span></span>):</span><br><span class=line>        <span class=string>&quot;&quot;&quot;</span></span><br><span class=line><span class=string>        Args:</span></span><br><span class=line><span class=string>            n_clusters (int): 聚类类别数.</span></span><br><span class=line><span class=string>            iterations (int, optional): 迭代次数, 默认为100.</span></span><br><span class=line><span class=string>            eps (float, optional): 中心点最小更新量, 默认为1e-3.</span></span><br><span class=line><span class=string>        &quot;&quot;&quot;</span></span><br><span class=line>        self.n_clusters, self.iterations, self.eps, self.centers = n_clusters, iterations, eps, <span class=literal>None</span></span><br><span class=line></span><br><span class=line>    <span class=keyword>def</span> <span class="title function_">fit</span>(<span class=params>self, X: np.ndarray</span>):</span><br><span class=line>        <span class=string>&quot;&quot;&quot;</span></span><br><span class=line><span class=string>        Args:</span></span><br><span class=line><span class=string>            X (np.ndarray): 输入</span></span><br><span class=line><span class=string>        &quot;&quot;&quot;</span></span><br><span class=line>        <span class=comment># 随机选择k个点作为中心点</span></span><br><span class=line>        self.centers = X[random.sample(<span class=built_in>range</span>(<span class=built_in>len</span>(X)), self.n_clusters)] <span class=comment># range(len(X))返回一个迭代对象 random.sample截取一段数字返回一个列表</span></span><br><span class=line></span><br><span class=line>        <span class=keyword>for</span> _ <span class=keyword>in</span> <span class=built_in>range</span>(self.iterations):</span><br><span class=line>            y_pred = self(X)</span><br><span class=line></span><br><span class=line>            <span class=comment># 各类别的均值作为新的中心点,</span></span><br><span class=line>            centers = np.stack(</span><br><span class=line>                [</span><br><span class=line>                    <span class=comment># 存在元素属于类别i则计算类别i所有点的均值，否则随机选择一个点作为类别i的均值</span></span><br><span class=line>                    np.mean(X[y_pred == i], axis=<span class=number>0</span>) <span class=keyword>if</span> np.<span class=built_in>any</span>(y_pred == i) <span class=keyword>else</span> random.choice(X) <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(self.n_clusters)  <span class=comment># np.any()用于判读真假，</span></span><br><span class=line>                ]</span><br><span class=line>            )</span><br><span class=line></span><br><span class=line>            <span class=comment># 中心点最大更新值小于eps则停止迭代</span></span><br><span class=line>            <span class=keyword>if</span> np.<span class=built_in>abs</span>(self.centers - centers).<span class=built_in>max</span>() &lt; self.eps:</span><br><span class=line>                <span class=keyword>break</span></span><br><span class=line></span><br><span class=line>            <span class=comment># 将更新后的均值作为各类别中心点</span></span><br><span class=line>            self.centers = centers</span><br><span class=line></span><br><span class=line>    <span class=keyword>def</span> <span class="title function_">__call__</span>(<span class=params>self, X: np.ndarray</span>):</span><br><span class=line>        <span class=keyword>return</span> np.array([np.argmin(np.linalg.norm(self.centers - x, axis=<span class=number>1</span>)) <span class=keyword>for</span> x <span class=keyword>in</span> X])  <span class=comment># 每一点类别为最近的中心点类别，返回下标</span></span><br></pre></td></tr></table></figure><h3 id=随机生成测试集><a href=#随机生成测试集 class=headerlink title=随机生成测试集></a>随机生成测试集</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">load_data</span>(<span class=params>n_samples_per_class=<span class=number>200</span>, n_classes=<span class=number>5</span></span>):</span><br><span class=line>    X = np.concatenate([np.random.randn(n_samples_per_class, <span class=number>2</span>) + <span class=number>3</span> * np.random.randn(<span class=number>2</span>) <span class=keyword>for</span> _ <span class=keyword>in</span> <span class=built_in>range</span>(n_classes)])</span><br><span class=line>    y = np.concatenate([np.full(n_samples_per_class, label) <span class=keyword>for</span> label <span class=keyword>in</span> <span class=built_in>range</span>(n_classes)])</span><br><span class=line>    <span class=keyword>return</span> X, y</span><br></pre></td></tr></table></figure><h3 id=画出图像，实现聚类算法><a href=#画出图像，实现聚类算法 class=headerlink title=画出图像，实现聚类算法></a>画出图像，实现聚类算法</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>if</span> __name__ == <span class=string>&quot;__main__&quot;</span>:</span><br><span class=line>    n_classes = <span class=number>5</span></span><br><span class=line>    X, y = load_data(n_classes=n_classes)</span><br><span class=line></span><br><span class=line>    plt.figure(figsize=[<span class=number>12</span>, <span class=number>6</span>])</span><br><span class=line>    plt.subplot(<span class=number>1</span>, <span class=number>2</span>, <span class=number>1</span>)</span><br><span class=line>    plt.title(<span class=string>&quot;Ground Truth&quot;</span>)</span><br><span class=line>    <span class=keyword>for</span> label <span class=keyword>in</span> <span class=built_in>range</span>(n_classes):</span><br><span class=line>        plt.scatter(X[y == label, <span class=number>0</span>], X[y == label, <span class=number>1</span>], marker=<span class=string>&quot;.&quot;</span>)</span><br><span class=line></span><br><span class=line>    kmeans = KMeans(n_clusters=n_classes)</span><br><span class=line>    kmeans.fit(X)</span><br><span class=line>    y_pred = kmeans(X)</span><br><span class=line></span><br><span class=line>    plt.subplot(<span class=number>1</span>, <span class=number>2</span>, <span class=number>2</span>)</span><br><span class=line>    plt.title(<span class=string>&quot;Clustering&quot;</span>)</span><br><span class=line>    <span class=keyword>for</span> label <span class=keyword>in</span> <span class=built_in>range</span>(n_classes):</span><br><span class=line>        plt.scatter(X[y_pred == label, <span class=number>0</span>], X[y_pred == label, <span class=number>1</span>], marker=<span class=string>&quot;.&quot;</span>)</span><br><span class=line></span><br><span class=line>    plt.scatter(kmeans.centers[:, <span class=number>0</span>], kmeans.centers[:, <span class=number>1</span>], marker=<span class=string>&quot;*&quot;</span>)</span><br><span class=line></span><br><span class=line>    plt.show()</span><br></pre></td></tr></table></figure><h3 id=完整代码><a href=#完整代码 class=headerlink title=完整代码></a>完整代码</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br></pre></td><td class=code><pre><span class=line><span class=comment>#!/user/bin/env python3</span></span><br><span class=line><span class=comment># -*- coding: utf-8 -*-</span></span><br><span class=line></span><br><span class=line><span class=keyword>import</span> random</span><br><span class=line></span><br><span class=line><span class=keyword>import</span> numpy <span class=keyword>as</span> np</span><br><span class=line><span class=keyword>from</span> matplotlib <span class=keyword>import</span> pyplot <span class=keyword>as</span> plt</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>class</span> <span class="title class_">KMeans</span>:</span><br><span class=line>    <span class=string>&quot;&quot;&quot;</span></span><br><span class=line><span class=string>    K-means clustering(K均值聚类)</span></span><br><span class=line><span class=string>    &quot;&quot;&quot;</span></span><br><span class=line></span><br><span class=line>    <span class=keyword>def</span> <span class="title function_">__init__</span>(<span class=params>self, n_clusters: <span class=built_in>int</span>, iterations=<span class=number>100</span>, eps=<span class=number>1e-3</span></span>):</span><br><span class=line>        <span class=string>&quot;&quot;&quot;</span></span><br><span class=line><span class=string>        Args:</span></span><br><span class=line><span class=string>            n_clusters (int): 聚类类别数.</span></span><br><span class=line><span class=string>            iterations (int, optional): 迭代次数, 默认为100.</span></span><br><span class=line><span class=string>            eps (float, optional): 中心点最小更新量, 默认为1e-3.</span></span><br><span class=line><span class=string>        &quot;&quot;&quot;</span></span><br><span class=line>        self.n_clusters, self.iterations, self.eps, self.centers = n_clusters, iterations, eps, <span class=literal>None</span></span><br><span class=line></span><br><span class=line>    <span class=keyword>def</span> <span class="title function_">fit</span>(<span class=params>self, X: np.ndarray</span>):</span><br><span class=line>        <span class=string>&quot;&quot;&quot;</span></span><br><span class=line><span class=string>        Args:</span></span><br><span class=line><span class=string>            X (np.ndarray): 输入</span></span><br><span class=line><span class=string>        &quot;&quot;&quot;</span></span><br><span class=line>        <span class=comment># 随机选择k个点作为中心点</span></span><br><span class=line>        self.centers = X[random.sample(<span class=built_in>range</span>(<span class=built_in>len</span>(X)), self.n_clusters)] <span class=comment># range(len(X))返回一个迭代对象 random.sample截取一段数字返回一个列表</span></span><br><span class=line></span><br><span class=line>        <span class=keyword>for</span> _ <span class=keyword>in</span> <span class=built_in>range</span>(self.iterations):</span><br><span class=line>            y_pred = self(X)</span><br><span class=line></span><br><span class=line>            <span class=comment># 各类别的均值作为新的中心点,</span></span><br><span class=line>            centers = np.stack(</span><br><span class=line>                [</span><br><span class=line>                    <span class=comment># 存在元素属于类别i则计算类别i所有点的均值，否则随机选择一个点作为类别i的均值</span></span><br><span class=line>                    np.mean(X[y_pred == i], axis=<span class=number>0</span>) <span class=keyword>if</span> np.<span class=built_in>any</span>(y_pred == i) <span class=keyword>else</span> random.choice(X) <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(self.n_clusters)  <span class=comment># np.any()用于判读真假，</span></span><br><span class=line>                ]</span><br><span class=line>            )</span><br><span class=line></span><br><span class=line>            <span class=comment># 中心点最大更新值小于eps则停止迭代</span></span><br><span class=line>            <span class=keyword>if</span> np.<span class=built_in>abs</span>(self.centers - centers).<span class=built_in>max</span>() &lt; self.eps:</span><br><span class=line>                <span class=keyword>break</span></span><br><span class=line></span><br><span class=line>            <span class=comment># 将更新后的均值作为各类别中心点</span></span><br><span class=line>            self.centers = centers</span><br><span class=line></span><br><span class=line>    <span class=keyword>def</span> <span class="title function_">__call__</span>(<span class=params>self, X: np.ndarray</span>):</span><br><span class=line>        <span class=keyword>return</span> np.array([np.argmin(np.linalg.norm(self.centers - x, axis=<span class=number>1</span>)) <span class=keyword>for</span> x <span class=keyword>in</span> X])  <span class=comment># 每一点类别为最近的中心点类别，返回下标</span></span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>def</span> <span class="title function_">load_data</span>(<span class=params>n_samples_per_class=<span class=number>200</span>, n_classes=<span class=number>5</span></span>):</span><br><span class=line>    X = np.concatenate([np.random.randn(n_samples_per_class, <span class=number>2</span>) + <span class=number>3</span> * np.random.randn(<span class=number>2</span>) <span class=keyword>for</span> _ <span class=keyword>in</span> <span class=built_in>range</span>(n_classes)])</span><br><span class=line>    y = np.concatenate([np.full(n_samples_per_class, label) <span class=keyword>for</span> label <span class=keyword>in</span> <span class=built_in>range</span>(n_classes)])</span><br><span class=line>    <span class=keyword>return</span> X, y</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>if</span> __name__ == <span class=string>&quot;__main__&quot;</span>:</span><br><span class=line>    n_classes = <span class=number>5</span></span><br><span class=line>    X, y = load_data(n_classes=n_classes)</span><br><span class=line></span><br><span class=line>    plt.figure(figsize=[<span class=number>12</span>, <span class=number>6</span>])</span><br><span class=line>    plt.subplot(<span class=number>1</span>, <span class=number>2</span>, <span class=number>1</span>)</span><br><span class=line>    plt.title(<span class=string>&quot;Ground Truth&quot;</span>)</span><br><span class=line>    <span class=keyword>for</span> label <span class=keyword>in</span> <span class=built_in>range</span>(n_classes):</span><br><span class=line>        plt.scatter(X[y == label, <span class=number>0</span>], X[y == label, <span class=number>1</span>], marker=<span class=string>&quot;.&quot;</span>)</span><br><span class=line></span><br><span class=line>    kmeans = KMeans(n_clusters=n_classes)</span><br><span class=line>    kmeans.fit(X)</span><br><span class=line>    y_pred = kmeans(X)</span><br><span class=line></span><br><span class=line>    plt.subplot(<span class=number>1</span>, <span class=number>2</span>, <span class=number>2</span>)</span><br><span class=line>    plt.title(<span class=string>&quot;Clustering&quot;</span>)</span><br><span class=line>    <span class=keyword>for</span> label <span class=keyword>in</span> <span class=built_in>range</span>(n_classes):</span><br><span class=line>        plt.scatter(X[y_pred == label, <span class=number>0</span>], X[y_pred == label, <span class=number>1</span>], marker=<span class=string>&quot;.&quot;</span>)</span><br><span class=line></span><br><span class=line>    plt.scatter(kmeans.centers[:, <span class=number>0</span>], kmeans.centers[:, <span class=number>1</span>], marker=<span class=string>&quot;*&quot;</span>)</span><br><span class=line></span><br><span class=line>    plt.show()</span><br></pre></td></tr></table></figure><blockquote><p>源码参考自 <a target=_blank rel="noopener external nofollow noreferrer" href=https://github.com/luokn/ml/blob/master/src/kmeans.py>https://github.com/luokn/ml/blob/master/src/kmeans.py</a></p></blockquote></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/170bc017/">http://refrain.cf/posts/170bc017/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" rel="external nofollow noreferrer" target=_blank>CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href=http://refrain.cf target=_blank>希亚的西红柿のBlog</a>！</span></div></div><div class=tag_share><div class=post-meta__tag-list><a class=post-meta__tags href="/tags/Numpy/">Numpy</a><a class=post-meta__tags href="/tags/Python/">Python</a><a class=post-meta__tags href="/tags/k-means/">k-means</a></div><div class=post_share><div class=social-share data-image=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230922210828.png data-sites=facebook,twitter,wechat,weibo,qq></div><link rel=stylesheet 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class="toc-item toc-level-2"><a class=toc-link href=#k-means-%E7%AE%97%E6%B3%95%E5%9F%BA%E7%A1%80%E5%8E%9F%E7%90%86><span class=toc-number>1.</span> <span class=toc-text>k-means 算法基础原理</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#k-means-%E7%AE%97%E6%B3%95%E7%9A%84%E7%89%B9%E7%82%B9><span class=toc-number>1.1.</span> <span class=toc-text>k-means 算法的特点</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#k-means-%E7%AE%97%E6%B3%95%E7%9A%84%E5%AE%9E%E7%8E%B0%E6%AD%A5%E9%AA%A4%EF%BC%9A><span class=toc-number>1.2.</span> <span class=toc-text>k-means 算法的实现步骤：</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#k-means-%E7%AE%97%E6%B3%95%E4%BB%A3%E7%A0%81%E5%AE%9E%E7%8E%B0><span class=toc-number>2.</span> <span class=toc-text>k-means 算法代码实现</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%A8%A1%E5%9D%97%E7%9A%84%E5%AF%BC%E5%85%A5%E4%B8%8E-K-%E5%9D%87%E5%80%BC%E8%81%9A%E7%B1%BB%E7%AE%97%E6%B3%95%E7%B1%BB%E7%9A%84%E5%AE%9A%E4%B9%89><span class=toc-number>2.1.</span> <span class=toc-text>模块的导入与 K 均值聚类算法类的定义</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E9%9A%8F%E6%9C%BA%E7%94%9F%E6%88%90%E6%B5%8B%E8%AF%95%E9%9B%86><span class=toc-number>2.2.</span> <span class=toc-text>随机生成测试集</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E7%94%BB%E5%87%BA%E5%9B%BE%E5%83%8F%EF%BC%8C%E5%AE%9E%E7%8E%B0%E8%81%9A%E7%B1%BB%E7%AE%97%E6%B3%95><span class=toc-number>2.3.</span> <span class=toc-text>画出图像，实现聚类算法</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%AE%8C%E6%95%B4%E4%BB%A3%E7%A0%81><span class=toc-number>2.4.</span> <span class=toc-text>完整代码</span></a></li></ol></li></ol></div></div><div class="card-widget card-recent-post"><div class=item-headline><i class="fas 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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>线性回归 (Linear Regression)</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2022-07-22T06:59:02.000Z title="发表于 2022-07-22 14:59:02">2022-07-22</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2022-07-22T06:59:02.000Z title="更新于 2022-07-22 14:59:02">2022-07-22</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>957</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>3分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title="线性回归 (Linear Regression)"><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><h3 id=利用-Numpy-实现简单的机器学习算法><a href=#利用-Numpy-实现简单的机器学习算法 class=headerlink title="利用 Numpy 实现简单的机器学习算法"></a>利用 Numpy 实现简单的机器学习算法</h3><blockquote><p>线性回归（Linear Regression） 可能是最流行的机器学习算法。线性回归就是要找一条直线，并且让这条直线尽可能地拟合散点图中的数据点。</p></blockquote><span id=more></span><h3 id=前言><a href=#前言 class=headerlink title=前言></a>前言</h3><blockquote><p>线性回归作为高中数学统计题比较重要的内容，先对其原理与推导过程不做详细讨论，重点通过代码来运用 python 模块实现线性回归算法。</p></blockquote><h3 id=线性回归算法的简单介绍><a href=#线性回归算法的简单介绍 class=headerlink title=线性回归算法的简单介绍></a>线性回归算法的简单介绍</h3><p>线性模型：给定由 d 个属性描述的示例，线性模型试图学得一个通过属性的线性组合来进行预测的函数。</p><p>线性回归试图学得一个线性模型以尽可能准确的预测实值输出标记，公式： $ f(x) = w^Tx+b $<br>$ f(x_i) = wx_i + b $，使得 $ f(x_i) ≈ y_i $</p><h3 id=实现线性回归算法的目标与方法><a href=#实现线性回归算法的目标与方法 class=headerlink title=实现线性回归算法的目标与方法></a>实现线性回归算法的目标与方法</h3><p>我们的任务就是求出 w 和 b，可用均方误差最小化的方法，基于均方误差最小化来进行模型求解的方法称为最小二乘法，在线性回归中，最小二乘法就是试图找到一条直线，使得所有样本数据点到达直线的欧氏距离最小。总距离是所有数据点的垂直距离的平方和。其思想是通过最小化这个平方误差或距离来拟合模型。</p><h3 id=代码具体实现过程><a href=#代码具体实现过程 class=headerlink title=代码具体实现过程></a>代码具体实现过程</h3><h4 id=定义线性回归函数><a href=#定义线性回归函数 class=headerlink title=定义线性回归函数></a>定义线性回归函数</h4><blockquote><ul><li>np.mean()函数主要起对矩阵求均值的作用</li><li>for 循环中利用最小二乘法的基本公式求出分子与分母，进而求出回归直线的斜率</li><li>值得注意的是分母转化为浮点数来保证计算的精确性</li></ul></blockquote><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">fitSLR</span>(<span class=params>X, Y</span>):</span><br><span class=line>  X_avg = np.mean(X)  <span class=comment># 求取括号内数组矩阵的均值</span></span><br><span class=line>  Y_avg = np.mean(Y)</span><br><span class=line>  n = <span class=built_in>len</span>(X)  <span class=comment># 得到括号内列表长度即元素的个数</span></span><br><span class=line>  <span class=comment># 定义分子与分母</span></span><br><span class=line>  fen_zi = <span class=number>0</span></span><br><span class=line>  fen_mu = <span class=number>0</span></span><br><span class=line>  <span class=comment># 核心算法</span></span><br><span class=line>  <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(<span class=number>0</span>, n):</span><br><span class=line>      fen_zi += (X[i] - X_avg) * (Y[i] - Y_avg)</span><br><span class=line>      fen_mu += (X[i] - X_avg) ** <span class=number>2</span></span><br><span class=line>  b1 = fen_zi / <span class=built_in>float</span>(fen_mu)  <span class=comment># 计算w，即直线的斜率</span></span><br><span class=line>  b0 = Y_avg - b1 * X_avg</span><br><span class=line>  <span class=keyword>return</span> b0, b1</span><br></pre></td></tr></table></figure><h4 id=引入具体的数据><a href=#引入具体的数据 class=headerlink title=引入具体的数据></a>引入具体的数据</h4><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br></pre></td><td class=code><pre><span class=line>X = [<span class=number>1.5</span>, <span class=number>0.8</span>, <span class=number>2.6</span>, <span class=number>1.0</span>, <span class=number>0.6</span>, <span class=number>2.8</span>, <span class=number>1.2</span>, <span class=number>0.9</span>, <span class=number>0.4</span>, <span class=number>1.3</span>, <span class=number>1.2</span>, <span class=number>2.0</span>, <span class=number>1.6</span>, <span class=number>1.8</span>, <span class=number>2.2</span>]</span><br><span class=line>Y = [<span class=number>3.1</span>, <span class=number>1.9</span>, <span class=number>4.2</span>, <span class=number>2.3</span>, <span class=number>1.6</span>, <span class=number>4.9</span>, <span class=number>2.8</span>, <span class=number>2.1</span>, <span class=number>1.4</span>, <span class=number>2.4</span>, <span class=number>2.4</span>, <span class=number>3.8</span>, <span class=number>3.0</span>, <span class=number>3.4</span>, <span class=number>4.0</span>]</span><br></pre></td></tr></table></figure><h4 id=调用函数计算出斜率与截距><a href=#调用函数计算出斜率与截距 class=headerlink title=调用函数计算出斜率与截距></a>调用函数计算出斜率与截距</h4><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br></pre></td><td class=code><pre><span class=line>b0, b1 = fitSLR(X, Y)</span><br><span class=line><span class=built_in>print</span>(<span class=string>&#x27;w = &#x27;</span>, b1)</span><br><span class=line><span class=built_in>print</span>(<span class=string>&#x27;b = &#x27;</span>, b0)</span><br></pre></td></tr></table></figure><h4 id=生成画板，画图图像><a href=#生成画板，画图图像 class=headerlink title=生成画板，画图图像></a>生成画板，画图图像</h4><blockquote><ul><li>两点确定一条直线作出回归直线</li><li><code>plt.plot()</code>中<code>&#39;r&#39;</code>代表回归直线是红色的意思</li></ul></blockquote><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br></pre></td><td class=code><pre><span class=line><span class=comment># 生成画板</span></span><br><span class=line>plt.figure()</span><br><span class=line><span class=comment># 画散点图</span></span><br><span class=line>plt.scatter(X, Y)</span><br><span class=line>X_min = <span class=built_in>min</span>(X)</span><br><span class=line>X_max = <span class=built_in>max</span>(X)</span><br><span class=line>Y_min = b0 + b1 * X_min</span><br><span class=line>Y_max = b0 + b1 * X_max</span><br><span class=line></span><br><span class=line>plt.plot([X_min, X_max], [Y_min, Y_max], <span class=string>&#x27;r&#x27;</span>)</span><br><span class=line>plt.show()</span><br></pre></td></tr></table></figure><h4 id=画出图像><a href=#画出图像 class=headerlink title=画出图像></a>画出图像</h4><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230924202552.png><br><strong>完整代码：</strong></p><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>import</span> numpy <span class=keyword>as</span> np</span><br><span class=line><span class=keyword>from</span> matplotlib <span class=keyword>import</span> pyplot <span class=keyword>as</span> plt</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>def</span> <span class="title function_">fitSLR</span>(<span class=params>X, Y</span>):</span><br><span class=line>    X_avg = np.mean(X)  <span class=comment># 求取括号内数组矩阵的均值</span></span><br><span class=line>    Y_avg = np.mean(Y)</span><br><span class=line>    n = <span class=built_in>len</span>(X)  <span class=comment># 得到括号内列表长度即元素的个数</span></span><br><span class=line>    <span class=comment># 定义分子与分母</span></span><br><span class=line>    fen_zi = <span class=number>0</span></span><br><span class=line>    fen_mu = <span class=number>0</span></span><br><span class=line>    <span class=comment># 核心算法</span></span><br><span class=line>    <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(<span class=number>0</span>, n):</span><br><span class=line>        fen_zi += (X[i] - X_avg) * (Y[i] - Y_avg)</span><br><span class=line>        fen_mu += (X[i] - X_avg) ** <span class=number>2</span></span><br><span class=line>    b1 = fen_zi / <span class=built_in>float</span>(fen_mu)  <span class=comment># 计算w，即直线的斜率</span></span><br><span class=line>    b0 = Y_avg - b1 * X_avg</span><br><span class=line>    <span class=keyword>return</span> b0, b1</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=comment># 定义X,Y列表</span></span><br><span class=line>X = [<span class=number>1.5</span>, <span class=number>0.8</span>, <span class=number>2.6</span>, <span class=number>1.0</span>, <span class=number>0.6</span>, <span class=number>2.8</span>, <span class=number>1.2</span>, <span class=number>0.9</span>, <span class=number>0.4</span>, <span class=number>1.3</span>, <span class=number>1.2</span>, <span class=number>2.0</span>, <span class=number>1.6</span>, <span class=number>1.8</span>, <span class=number>2.2</span>]</span><br><span class=line>Y = [<span class=number>3.1</span>, <span class=number>1.9</span>, <span class=number>4.2</span>, <span class=number>2.3</span>, <span class=number>1.6</span>, <span class=number>4.9</span>, <span class=number>2.8</span>, <span class=number>2.1</span>, <span class=number>1.4</span>, <span class=number>2.4</span>, <span class=number>2.4</span>, <span class=number>3.8</span>, <span class=number>3.0</span>, <span class=number>3.4</span>, <span class=number>4.0</span>]</span><br><span class=line></span><br><span class=line>b0, b1 = fitSLR(X, Y)</span><br><span class=line><span class=built_in>print</span>(<span class=string>&#x27;w = &#x27;</span>, b1)</span><br><span class=line><span class=built_in>print</span>(<span class=string>&#x27;b = &#x27;</span>, b0)</span><br><span class=line></span><br><span class=line><span class=comment># 生成画板</span></span><br><span class=line>plt.figure()</span><br><span class=line><span class=comment># 画散点图</span></span><br><span class=line>plt.scatter(X, Y)</span><br><span class=line>X_min = <span class=built_in>min</span>(X)</span><br><span class=line>X_max = <span class=built_in>max</span>(X)</span><br><span class=line>Y_min = b0 + b1 * X_min</span><br><span class=line>Y_max = b0 + b1 * X_max</span><br><span class=line></span><br><span class=line>plt.plot([X_min, X_max], [Y_min, Y_max], <span class=string>&#x27;r&#x27;</span>)</span><br><span class=line>plt.show()</span><br></pre></td></tr></table></figure></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/20642/">http://refrain.cf/posts/20642/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a 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toc-level-3"><a class=toc-link href=#%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92%E7%AE%97%E6%B3%95%E7%9A%84%E7%AE%80%E5%8D%95%E4%BB%8B%E7%BB%8D><span class=toc-number>3.</span> <span class=toc-text>线性回归算法的简单介绍</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%AE%9E%E7%8E%B0%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92%E7%AE%97%E6%B3%95%E7%9A%84%E7%9B%AE%E6%A0%87%E4%B8%8E%E6%96%B9%E6%B3%95><span class=toc-number>4.</span> <span class=toc-text>实现线性回归算法的目标与方法</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E4%BB%A3%E7%A0%81%E5%85%B7%E4%BD%93%E5%AE%9E%E7%8E%B0%E8%BF%87%E7%A8%8B><span class=toc-number>5.</span> <span class=toc-text>代码具体实现过程</span></a><ol class=toc-child><li class="toc-item toc-level-4"><a class=toc-link href=#%E5%AE%9A%E4%B9%89%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92%E5%87%BD%E6%95%B0><span class=toc-number>5.1.</span> <span class=toc-text>定义线性回归函数</span></a></li><li class="toc-item toc-level-4"><a class=toc-link href=#%E5%BC%95%E5%85%A5%E5%85%B7%E4%BD%93%E7%9A%84%E6%95%B0%E6%8D%AE><span class=toc-number>5.2.</span> <span class=toc-text>引入具体的数据</span></a></li><li class="toc-item toc-level-4"><a class=toc-link href=#%E8%B0%83%E7%94%A8%E5%87%BD%E6%95%B0%E8%AE%A1%E7%AE%97%E5%87%BA%E6%96%9C%E7%8E%87%E4%B8%8E%E6%88%AA%E8%B7%9D><span class=toc-number>5.3.</span> <span class=toc-text>调用函数计算出斜率与截距</span></a></li><li class="toc-item toc-level-4"><a class=toc-link href=#%E7%94%9F%E6%88%90%E7%94%BB%E6%9D%BF%EF%BC%8C%E7%94%BB%E5%9B%BE%E5%9B%BE%E5%83%8F><span class=toc-number>5.4.</span> <span class=toc-text>生成画板，画图图像</span></a></li><li class="toc-item toc-level-4"><a class=toc-link href=#%E7%94%BB%E5%87%BA%E5%9B%BE%E5%83%8F><span class=toc-number>5.5.</span> <span class=toc-text>画出图像</span></a></li></ol></li></ol></div></div><div class="card-widget card-recent-post"><div class=item-headline><i class="fas fa-history"></i><span>最新文章</span></div><div class=aside-list><div class=aside-list-item><a 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id=rightside><div id=rightside-config-hide><button id=readmode type=button title=阅读模式><i class="fas fa-book-open"></i></button><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button class=close id=mobile-toc-button type=button title=目录><i class="fas fa-list-ul"></i></button><a id=to_comment href=#post-comment title=直达评论><i class="fas fa-comments"></i></a><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax><script>if (!window.MathJax) {
+  window.MathJax = {
+    tex: {
+      inlineMath: [['$', '$'], ['\\(', '\\)']],
+      tags: 'ams'
+    },
+    chtml: {
+      scale: 1.1
+    },
+    options: {
+      renderActions: {
+        findScript: [10, doc => {
+          for (const node of document.querySelectorAll('script[type^="math/tex"]')) {
+            const display = !!node.type.match(/; *mode=display/)
+            const math = new doc.options.MathItem(node.textContent, doc.inputJax[0], display)
+            const text = document.createTextNode('')
+            node.parentNode.replaceChild(text, node)
+            math.start = {node: text, delim: '', n: 0}
+            math.end = {node: text, delim: '', n: 0}
+            doc.math.push(math)
+          }
+        }, '']
+      }
+    }
+  }
+  
+  const script = document.createElement('script')
+  script.src = 'https://cdn.jsdelivr.net/npm/mathjax/es5/tex-mml-chtml.min.js'
+  script.id = 'MathJax-script'
+  script.async = true
+  document.head.appendChild(script)
+} else {
+  MathJax.startup.document.state(0)
+  MathJax.texReset()
+  MathJax.typesetPromise()
+}</script><script>(()=>{
+  const init = () => {
+    twikoo.init(Object.assign({
+      el: '#twikoo-wrap',
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      onCommentLoaded: function () {
+        btf.loadLightbox(document.querySelectorAll('#twikoo .tk-content img:not(.tk-owo-emotion)'))
+      }
+    }, null))
+  }
+
+  const getCount = () => {
+    const countELement = document.getElementById('twikoo-count')
+    if(!countELement) return
+    twikoo.getCommentsCount({
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      urls: [window.location.pathname],
+      includeReply: false
+    }).then(function (res) {
+      countELement.textContent = res[0].count
+    }).catch(function (err) {
+      console.error(err);
+    });
+  }
+
+  const runFn = () => {
+    init()
+    
+  }
+
+  const loadTwikoo = () => {
+    if (typeof twikoo === 'object') {
+      setTimeout(runFn,0)
+      return
+    } 
+    getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runFn)
+  }
+
+  if ('Twikoo' === 'Twikoo' || !true) {
+    if (true) btf.loadComment(document.getElementById('twikoo-wrap'), loadTwikoo)
+    else loadTwikoo()
+  } else {
+    window.loadOtherComment = () => {
+      loadTwikoo()
+    }
+  }
+})()</script></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/posts/355699d5/index.html b/posts/355699d5/index.html
new file mode 100644
index 000000000..1d44d9603
--- /dev/null
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rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>Numpy实现逻辑回归(Logistic Regression)算法</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2022-08-06T09:20:58.000Z title="发表于 2022-08-06 17:20:58">2022-08-06</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2022-08-06T09:20:58.000Z title="更新于 2022-08-06 17:20:58">2022-08-06</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>1.5k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>7分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title="Numpy实现逻辑回归(Logistic Regression)算法"><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><blockquote><p>前言：本文旨在对如何使用 numpy 实现逻辑回归拟合的过程做具体分析，有关逻辑回归原理部分不做过多论述。</p></blockquote><h2 id=数据集准备><a href=#数据集准备 class=headerlink title=数据集准备></a>数据集准备</h2><p>准备用于二分类的数据集,可直接复制到对应的 txt 文件<br><code>-0.017612   14.053064   0
+        -1.395634   4.662541    1
+        -0.752157   6.538620    0
+        -1.322371   7.152853    0
+        0.423363    11.054677   0
+        0.406704    7.067335    1
+        0.667394    12.741452   0
+        -2.460150   6.866805    1
+        0.569411    9.548755    0
+        -0.026632   10.427743   0
+        0.850433    6.920334    1
+        1.347183    13.175500   0
+        1.176813    3.167020    1
+        -1.781871   9.097953    0
+        -0.566606   5.749003    1
+        0.931635    1.589505    1
+        -0.024205   6.151823    1
+        -0.036453   2.690988    1
+        -0.196949   0.444165    1
+        1.014459    5.754399    1
+        1.985298    3.230619    1
+        -1.693453   -0.557540   1
+        -0.576525   11.778922   0
+        -0.346811   -1.678730   1
+        -2.124484   2.672471    1
+        1.217916    9.597015    0
+        -0.733928   9.098687    0
+        -3.642001   -1.618087   1
+        0.315985    3.523953    1
+        1.416614    9.619232    0
+        -0.386323   3.989286    1
+        0.556921    8.294984    1
+        1.224863    11.587360   0
+        -1.347803   -2.406051   1
+        1.196604    4.951851    1
+        0.275221    9.543647    0
+        0.470575    9.332488    0
+        -1.889567   9.542662    0
+        -1.527893   12.150579   0
+        -1.185247   11.309318   0
+        -0.445678   3.297303    1
+        1.042222    6.105155    1
+        -0.618787   10.320986   0
+        1.152083    0.548467    1
+        0.828534    2.676045    1
+        -1.237728   10.549033   0
+        -0.683565   -2.166125   1
+        0.229456    5.921938    1
+        -0.959885   11.555336   0
+        0.492911    10.993324   0
+        0.184992    8.721488    0
+        -0.355715   10.325976   0
+        -0.397822   8.058397    0
+        0.824839    13.730343   0
+        1.507278    5.027866    1
+        0.099671    6.835839    1
+        -0.344008   10.717485   0
+        1.785928    7.718645    1
+        -0.918801   11.560217   0
+        -0.364009   4.747300    1
+        -0.841722   4.119083    1
+        0.490426    1.960539    1
+        -0.007194   9.075792    0
+        0.356107    12.447863   0
+        0.342578    12.281162   0
+        -0.810823   -1.466018   1
+        2.530777    6.476801    1
+        1.296683    11.607559   0
+        0.475487    12.040035   0
+        -0.783277   11.009725   0
+        0.074798    11.023650   0
+        -1.337472   0.468339    1
+        -0.102781   13.763651   0
+        -0.147324   2.874846    1
+        0.518389    9.887035    0
+        1.015399    7.571882    0
+        -1.658086   -0.027255   1
+        1.319944    2.171228    1
+        2.056216    5.019981    1
+        -0.851633   4.375691    1
+        -1.510047   6.061992    0
+        -1.076637   -3.181888   1
+        1.821096    10.283990   0
+        3.010150    8.401766    1
+        -1.099458   1.688274    1
+        -0.834872   -1.733869   1
+        -0.846637   3.849075    1
+        1.400102    12.628781   0
+        1.752842    5.468166    1
+        0.078557    0.059736    1
+        0.089392    -0.715300   1
+        1.825662    12.693808   0
+        0.197445    9.744638    0
+        0.126117    0.922311    1
+        -0.679797   1.220530    1
+        0.677983    2.556666    1
+        0.761349    10.693862   0
+        -2.168791   0.143632    1
+        1.388610    9.341997    0
+        0.317029    14.739025   0</code></p><h2 id=读取数据><a href=#读取数据 class=headerlink title=读取数据></a>读取数据</h2><p>构造出<code>[[1,data,data],]</code>与<code>[result,]</code>两种矩阵</p><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>from</span> numpy <span class=keyword>import</span> *</span><br><span class=line>filename = <span class=string>&#x27;Resources/LogisticRegressionSet.txt&#x27;</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">loadDataSet</span>():</span><br><span class=line>    dataMat = []</span><br><span class=line>    labelMat = [] <span class=comment># 构造两个空列表</span></span><br><span class=line>    fr = <span class=built_in>open</span>(filename)</span><br><span class=line>    <span class=keyword>for</span> line <span class=keyword>in</span> fr.readlines():</span><br><span class=line>        lineArr = line.strip().split() <span class=comment># 切割元素</span></span><br><span class=line>        dataMat.append([<span class=number>1.0</span>, <span class=built_in>float</span>(lineArr[<span class=number>0</span>]), <span class=built_in>float</span>(lineArr[<span class=number>1</span>])])</span><br><span class=line>        <span class=comment># 前面的1，表示方程的常量。比如两个特征X1,X2，共需要三个参数，W1+W2*X1+W3*X2</span></span><br><span class=line>        labelMat.append(<span class=built_in>int</span>(lineArr[<span class=number>2</span>]))</span><br><span class=line>    <span class=keyword>return</span> dataMat, labelMat</span><br></pre></td></tr></table></figure><h2 id=构造-Logistic-Sigmoid-函数><a href=#构造-Logistic-Sigmoid-函数 class=headerlink title="构造 Logistic(Sigmoid)函数"></a>构造 Logistic(Sigmoid)函数</h2><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">sigmoid</span>(<span class=params>inX</span>):  <span class=comment># sigmoid函数</span></span><br><span class=line>    <span class=keyword>return</span> <span class=number>1.0</span> / (<span class=number>1</span> + exp(-inX))</span><br></pre></td></tr></table></figure><h2 id=构造梯度上升函数><a href=#构造梯度上升函数 class=headerlink title=构造梯度上升函数></a>构造梯度上升函数</h2><h3 id=普通梯度上升><a href=#普通梯度上升 class=headerlink title=普通梯度上升></a>普通梯度上升</h3><p>通过矩阵乘法后算出差值反复迭代，利用梯度上升法求出结果，注意矩阵转置的意义</p><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">gradAscent</span>(<span class=params>dataMat, labelMat</span>):  <span class=comment># 梯度上升求最优参数</span></span><br><span class=line>    dataMatrix = mat(dataMat)  <span class=comment># 将读取的数据转换为矩阵</span></span><br><span class=line>    classLabels = mat(labelMat).transpose()  <span class=comment># 将读取的数据转换为矩阵</span></span><br><span class=line>    m, n = shape(dataMatrix)</span><br><span class=line>    alpha = <span class=number>0.001</span>  <span class=comment># 设置梯度的阀值，该值越大梯度上升幅度越大</span></span><br><span class=line>    maxCycles = <span class=number>500</span>  <span class=comment># 设置迭代的次数，一般看实际数据进行设定，有些可能200次就够了</span></span><br><span class=line>    weights = ones((n, <span class=number>1</span>))  <span class=comment># 设置初始的参数，并都赋默认值为1。注意这里权重以矩阵形式表示三个参数。</span></span><br><span class=line>    <span class=keyword>for</span> k <span class=keyword>in</span> <span class=built_in>range</span>(maxCycles):</span><br><span class=line>        h = sigmoid(dataMatrix * weights)</span><br><span class=line>        error = (classLabels - h)  <span class=comment># 求导后差值</span></span><br><span class=line>        weights = weights + alpha * dataMatrix.transpose() * error  <span class=comment># 迭代更新权重</span></span><br><span class=line>    <span class=keyword>return</span> weights</span><br></pre></td></tr></table></figure><h3 id=随机梯度上升><a href=#随机梯度上升 class=headerlink title=随机梯度上升></a>随机梯度上升</h3><p>与上述算法的区别在于只选择一行数据更新权重</p><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">stocGradAscent0</span>(<span class=params>dataMat, labelMat</span>):</span><br><span class=line><span class=comment># 随机梯度上升，当数据量比较大时，每次迭代都选择全量数据进行计算，</span></span><br><span class=line><span class=comment>#计算量会非常大。所以采用每次迭代中一次只选择其中的一行数据进行更新权重。</span></span><br><span class=line>    dataMatrix = mat(dataMat)</span><br><span class=line>    classLabels = labelMat</span><br><span class=line>    m, n = shape(dataMatrix)</span><br><span class=line>    alpha = <span class=number>0.01</span></span><br><span class=line>    maxCycles = <span class=number>500</span></span><br><span class=line>    weights = ones((n, <span class=number>1</span>))</span><br><span class=line>    <span class=keyword>for</span> k <span class=keyword>in</span> <span class=built_in>range</span>(maxCycles):</span><br><span class=line>        <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(m):  <span class=comment># 遍历计算每一行</span></span><br><span class=line>            h = sigmoid(<span class=built_in>sum</span>(dataMatrix[i] * weights))</span><br><span class=line>            error = classLabels[i] - h</span><br><span class=line>            weights = weights + alpha * error * dataMatrix[i].transpose()</span><br><span class=line>    <span class=keyword>return</span> weights</span><br></pre></td></tr></table></figure><h3 id=改进版随机梯度上升><a href=#改进版随机梯度上升 class=headerlink title=改进版随机梯度上升></a>改进版随机梯度上升</h3><p>该算法与上述算法的区别在于两点：</p><ul><li>步长随迭代次数的增加而减小</li><li>采用了随机抽样的方法</li></ul><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">stocGradAscent1</span>(<span class=params>dataMat, labelMat</span>):</span><br><span class=line>    <span class=comment># 改进版随机梯度上升，在每次迭代中随机选择样本来更新权重，并且随迭代次数增加，权重变化越小。</span></span><br><span class=line>    dataMatrix = mat(dataMat)</span><br><span class=line>    classLabels = labelMat</span><br><span class=line>    m, n = shape(dataMatrix)</span><br><span class=line>    weights = ones((n, <span class=number>1</span>))</span><br><span class=line>    maxCycles = <span class=number>500</span></span><br><span class=line>    <span class=keyword>for</span> j <span class=keyword>in</span> <span class=built_in>range</span>(maxCycles):  <span class=comment># 迭代</span></span><br><span class=line>        dataIndex = [i <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(m)]</span><br><span class=line>        <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(m):  <span class=comment># 随机遍历每一行</span></span><br><span class=line>            alpha = <span class=number>4</span> / (<span class=number>1</span> + j + i) + <span class=number>0.0001</span>  <span class=comment># 随迭代次数增加，权重变化越小。</span></span><br><span class=line>            randIndex = <span class=built_in>int</span>(random.uniform(<span class=number>0</span>, <span class=built_in>len</span>(dataIndex)))  <span class=comment># 随机抽样</span></span><br><span class=line>            h = sigmoid(<span class=built_in>sum</span>(dataMatrix[randIndex] * weights))</span><br><span class=line>            error = classLabels[randIndex] - h</span><br><span class=line>            weights = weights + alpha * error * dataMatrix[randIndex].transpose()</span><br><span class=line>            <span class=keyword>del</span> (dataIndex[randIndex])  <span class=comment># 去除已经抽取的样本</span></span><br><span class=line>    <span class=keyword>return</span> weights</span><br></pre></td></tr></table></figure><h2 id=画出图像><a href=#画出图像 class=headerlink title=画出图像></a>画出图像</h2><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">plotBestFit</span>(<span class=params>weights</span>):  <span class=comment># 画出最终分类的图</span></span><br><span class=line>    <span class=keyword>import</span> matplotlib.pyplot <span class=keyword>as</span> plt</span><br><span class=line>    dataMat, labelMat = loadDataSet()</span><br><span class=line>    dataArr = array(dataMat)</span><br><span class=line>    n = shape(dataArr)[<span class=number>0</span>]</span><br><span class=line>    xcord1 = []</span><br><span class=line>    ycord1 = []</span><br><span class=line>    xcord2 = []</span><br><span class=line>    ycord2 = []</span><br><span class=line>    <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(n):</span><br><span class=line>        <span class=keyword>if</span> <span class=built_in>int</span>(labelMat[i]) == <span class=number>1</span>:</span><br><span class=line>            xcord1.append(dataArr[i, <span class=number>1</span>])</span><br><span class=line>            ycord1.append(dataArr[i, <span class=number>2</span>])</span><br><span class=line>        <span class=keyword>else</span>:</span><br><span class=line>            xcord2.append(dataArr[i, <span class=number>1</span>])</span><br><span class=line>            ycord2.append(dataArr[i, <span class=number>2</span>])</span><br><span class=line>    fig = plt.figure()</span><br><span class=line>    ax = fig.add_subplot(<span class=number>111</span>) <span class=comment># 一行一列一个格子</span></span><br><span class=line>    ax.scatter(xcord1, ycord1, s=<span class=number>30</span>, c=<span class=string>&#x27;red&#x27;</span>, marker=<span class=string>&#x27;s&#x27;</span>)</span><br><span class=line>    ax.scatter(xcord2, ycord2, s=<span class=number>30</span>, c=<span class=string>&#x27;green&#x27;</span>) <span class=comment># 画出散点图</span></span><br><span class=line>    x = arange(-<span class=number>3.0</span>, <span class=number>3.0</span>, <span class=number>0.1</span>) <span class=comment># 生成数组</span></span><br><span class=line>    y = (-weights[<span class=number>0</span>] - weights[<span class=number>1</span>] * x) / weights[<span class=number>2</span>] <span class=comment># 决策边界</span></span><br><span class=line>    ax.plot(x, y)</span><br><span class=line>    plt.xlabel(<span class=string>&#x27;X1&#x27;</span>)</span><br><span class=line>    plt.ylabel(<span class=string>&#x27;X2&#x27;</span>)</span><br><span class=line>    plt.show()</span><br></pre></td></tr></table></figure><h2 id=定义主函数><a href=#定义主函数 class=headerlink title=定义主函数></a>定义主函数</h2><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">main</span>():</span><br><span class=line>    dataMat, labelMat = loadDataSet()</span><br><span class=line>    weights = gradAscent(dataMat, labelMat).getA()</span><br><span class=line>    plotBestFit(weights)</span><br></pre></td></tr></table></figure><h2 id=调用主函数><a href=#调用主函数 class=headerlink title=调用主函数></a>调用主函数</h2><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>if</span> __name__ == <span class=string>&#x27;__main__&#x27;</span>:</span><br><span class=line>    main()</span><br></pre></td></tr></table></figure><h2 id=运行结果><a href=#运行结果 class=headerlink title=运行结果></a>运行结果</h2><ul><li>普通梯度上升<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230924203912.png title=&quot;gradAscent></li><li>随机梯度上升<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230924204042.png title=stocGradAscent0></li><li>改进版随机梯度上升<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230924204101.png title=stocGradAscent1></li></ul><blockquote><p>本文源码参考自 <a target=_blank rel="noopener external nofollow noreferrer" href=https://www.cnblogs.com/luozeng/p/8605140.html>逻辑回归原理（python 代码实现）</a></p></blockquote></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/355699d5/">http://refrain.cf/posts/355699d5/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" rel="external nofollow noreferrer" target=_blank>CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href=http://refrain.cf target=_blank>希亚的西红柿のBlog</a>！</span></div></div><div class=tag_share><div class=post-meta__tag-list><a class=post-meta__tags href="/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a><a class=post-meta__tags 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fa-stream"></i><span>目录</span><span class=toc-percentage></span></div><div class=toc-content><ol class=toc><li class="toc-item toc-level-2"><a class=toc-link href=#%E6%95%B0%E6%8D%AE%E9%9B%86%E5%87%86%E5%A4%87><span class=toc-number>1.</span> <span class=toc-text>数据集准备</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E8%AF%BB%E5%8F%96%E6%95%B0%E6%8D%AE><span class=toc-number>2.</span> <span class=toc-text>读取数据</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E6%9E%84%E9%80%A0-Logistic-Sigmoid-%E5%87%BD%E6%95%B0><span class=toc-number>3.</span> <span class=toc-text>构造 Logistic(Sigmoid)函数</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E6%9E%84%E9%80%A0%E6%A2%AF%E5%BA%A6%E4%B8%8A%E5%8D%87%E5%87%BD%E6%95%B0><span class=toc-number>4.</span> <span class=toc-text>构造梯度上升函数</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%99%AE%E9%80%9A%E6%A2%AF%E5%BA%A6%E4%B8%8A%E5%8D%87><span class=toc-number>4.1.</span> <span class=toc-text>普通梯度上升</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E9%9A%8F%E6%9C%BA%E6%A2%AF%E5%BA%A6%E4%B8%8A%E5%8D%87><span class=toc-number>4.2.</span> <span class=toc-text>随机梯度上升</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%94%B9%E8%BF%9B%E7%89%88%E9%9A%8F%E6%9C%BA%E6%A2%AF%E5%BA%A6%E4%B8%8A%E5%8D%87><span class=toc-number>4.3.</span> <span class=toc-text>改进版随机梯度上升</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E7%94%BB%E5%87%BA%E5%9B%BE%E5%83%8F><span class=toc-number>5.</span> <span class=toc-text>画出图像</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%AE%9A%E4%B9%89%E4%B8%BB%E5%87%BD%E6%95%B0><span class=toc-number>6.</span> <span class=toc-text>定义主函数</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E8%B0%83%E7%94%A8%E4%B8%BB%E5%87%BD%E6%95%B0><span class=toc-number>7.</span> <span 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new file mode 100644
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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>线性表</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2022-12-24T13:23:10.000Z title="发表于 2022-12-24 21:23:10">2022-12-24</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2022-12-31T13:23:10.000Z title="更新于 2022-12-31 21:23:10">2022-12-31</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>5.9k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>29分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=线性表><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><div class="tip home"><p>本篇文章将详细讲述数据结构 <strong><span class="p red">线性表</span></strong> 章节的内容，<del>没想到距离上次更新已经快两个礼拜了</del>。</p></div><div class="tip info"><p>本教程编程语言采用 <strong><span class="p yellow">JAVA</span></strong> ,文章框架参考自 <strong><span class="p yellow">HUST数据结构PPT</span></strong> ,源码内容参考自 <strong><a target=_blank rel="noopener external nofollow noreferrer" href="https://www.bilibili.com/video/BV1E4411H73v/?spm_id_from=333.999.0.0&amp;vd_source=aca6967773d9edcf25495f454e05197c">尚硅谷 JAVA 数据结构教程</a></strong> 。</p></div><div class="tip key"><p>线性表章节部分将简单讲述概念方面的问题，重点将放在具体的代码实现过程中。</p></div><h2 id=线性表的定义><a href=#线性表的定义 class=headerlink title=线性表的定义></a>线性表的定义</h2><h3 id=线性表的逻辑结构><a href=#线性表的逻辑结构 class=headerlink title=线性表的逻辑结构></a>线性表的逻辑结构</h3><ol><li>线性表：由$n(n≥0)$个数据元素$(a_1,a_2,…, a_n)$构成的有限序列，记作: $L=(a_1,a_2,…,a_n)$，$a_1$称为首元素，$a_n$称为尾元素。</li><li>表长：线性表中数据元素的数目。</li><li>空表：不含数据元素的线性表。</li></ol><div class="note info flat"><p><strong>在线性表$L=(a_1,a_2,…,a_n)$中：</strong></p><ol><li>$a_{i-1}$是$a_i$的直接前驱（1&lt;i&lt;=n）</li><li>$a_{i+1}$是$a_i$的直接后继（1&lt;=i&lt;n）</li><li>$a_1$没有前驱，$a_n$没有后继,$a_i$有且仅有一个前驱和后继（1&lt;i&lt;n）</li></ol></div><h3 id=抽象数据类型线性表的定义><a href=#抽象数据类型线性表的定义 class=headerlink title=抽象数据类型线性表的定义></a>抽象数据类型线性表的定义</h3><div class="note primary flat"><p>抽象类型的线性表主要定义几个属性和方法</p></div><ol><li><code>InitList(&amp;L)</code> //构造空表 L。</li><li><code>LengthList(L)</code> //求表 L 的长度</li><li><code>GetElem(L,i,&amp;e)</code> //取元素 ai,由 e 返回 ai</li><li><code>PriorElem(L,ce,&amp;pre_e)</code> //求 ce 的前驱,由 pre_e 返回</li><li><code>InsertElem(&amp;L,i,e)</code> //在元素 ai 之前插入新元素 e</li><li><code>DeleteElem(&amp;L,i)</code> //删除第 i 个元素</li><li><code>EmptyList(L)</code> //判断 L 是否为空表</li></ol><h2 id=线性表的顺序表示（顺序存储结构）><a href=#线性表的顺序表示（顺序存储结构） class=headerlink title=线性表的顺序表示（顺序存储结构）></a>线性表的顺序表示（顺序存储结构）</h2><h3 id=顺序分配><a href=#顺序分配 class=headerlink title=顺序分配></a>顺序分配</h3><ol><li>定义：将线性表中的数据元素<span class="p red">依次</span>存放到计算机存储器中一组地址<span class="p red">连续</span>的存储单元中, 这种分配方式称为<span class="p red">顺序分配</span>或<span class="p red">顺序映像</span>。由此得到的存储结构称为<span class="p red">顺序存储结构或向量(一维数组）</span>。</li><li>线性表的几个参数<ul><li><code>a</code>:首元素的地址。</li><li><code>sizeof(a[0])</code>:线性表元素所占的储存空间的大小。</li><li><code>sizeof(a[n])</code>:线性表的长度。</li></ul></li></ol><h3 id=寻址公式><a href=#寻址公式 class=headerlink title=寻址公式></a>寻址公式</h3><div class="note primary flat"><p>顺序储存方式的地址查询与数组类似，故不再赘述，感兴趣的读者可以自己查询相关资料。</p></div><h3 id=顺序储存结构的评价><a href=#顺序储存结构的评价 class=headerlink title=顺序储存结构的评价></a>顺序储存结构的评价</h3><div class=tabs id=1><ul class=nav-tabs><li class="tab active"><button type=button data-href=#1-1>优点</button></li><li class=tab><button type=button data-href=#1-2>缺点</button></li></ul><div class=tab-contents><div class="tab-item-content active" id=1-1><ol><li>是一种随机存取结构，存取任何元素的时间是一个常数，速度快。</li><li>结构简单，逻辑上相邻的元素在物理上也是相邻的。</li><li>不使用指针，节省存储空间。</li></ol><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div><div class=tab-item-content id=1-2><ol><li>插入和删除元素要移动大量元素，消耗大量时间。</li><li>需要一个连续的存储空间。</li><li>插入元素可能发生“溢出”。</li><li>自由区中的存储空间不能被其它数据占用(共享)。</li></ol><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div></div></div><h3 id=稀疏数组的实现><a href=#稀疏数组的实现 class=headerlink title=稀疏数组的实现></a>稀疏数组的实现</h3><ol><li>书写思路：<div class="checkbox checked"><input type=radio checked><p><strong>二维数组转稀疏数组:</strong></p></div><ol><li>遍历原始二维数组得到，有效数字的个数<code>sum</code>。</li><li>创建稀疏数组<code>int[sum+1][3]</code>。</li><li>记录<code>chessRow</code>和<code>chessCol</code>以及有效数字<code>count</code>。</li><li>遍历数组,为稀疏数组<code>sparseArr</code>赋值。</li><li>返回稀疏数组。</li></ol></li></ol><div class="checkbox checked"><input type=radio checked><p><strong>稀疏数组转二维数组:</strong></p></div>1. 创建原有大小的二维数组。 2. 将稀疏数组中的有效数字返回到原来的二维数组中。 3. 返回原来的二维矩阵。 2. 代码实现:<details class=folding-tag green><summary>查看代码实现</summary><div class=content><ol><li>编写函数</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">SparseArray</span> &#123;</span><br><span class=line>    <span class=comment>// 主函数：负责打印原始数组，转换后的稀疏数组，以及在转换回来的二维数组</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        <span class=type>int</span>[][] chessArr = <span class=keyword>new</span> <span class="title class_">int</span>[<span class=number>11</span>][<span class=number>11</span>];</span><br><span class=line>        chessArr[<span class=number>1</span>][<span class=number>2</span>] = <span class=number>1</span>;</span><br><span class=line>        chessArr[<span class=number>2</span>][<span class=number>3</span>] = <span class=number>2</span>;</span><br><span class=line>        chessArr[<span class=number>5</span>][<span class=number>5</span>] = <span class=number>5</span>;</span><br><span class=line>        System.out.println(<span class=string>&quot;Raw array preview:&quot;</span>);</span><br><span class=line>        printChessArray(chessArr);</span><br><span class=line></span><br><span class=line>        <span class=type>int</span>[][] sparseArr = chessToSparse(chessArr);</span><br><span class=line>        System.out.println(<span class=string>&quot;chessArray to sparseArray:&quot;</span>);</span><br><span class=line>        printChessArray(sparseArr);</span><br><span class=line></span><br><span class=line>        <span class=type>int</span>[][] chessArr2 = sparseToChess(sparseArr);</span><br><span class=line>        System.out.println(<span class=string>&quot;sparseArray to chessArray:&quot;</span>);</span><br><span class=line>        printChessArray(chessArr2);</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 二维数组转稀疏数组：</span></span><br><span class=line>    <span class=comment>// 1. 记录有效数字的个数sum</span></span><br><span class=line>    <span class=comment>// 2. 创建稀疏数组int[sum+1][3]</span></span><br><span class=line>    <span class=comment>// 3. 记录chessRow和chessCol以及有效数字count</span></span><br><span class=line>    <span class=comment>// 4. 遍历数组,为稀疏数组sparseArr赋值</span></span><br><span class=line>    <span class=comment>// 5. 返回稀疏数组</span></span><br><span class=line>    <span class=keyword>private</span> <span class=keyword>static</span> <span class=type>int</span>[][] chessToSparse(<span class=type>int</span>[][] chessArr) &#123;</span><br><span class=line>        <span class=type>int</span> <span class=variable>sum</span> <span class=operator>=</span> <span class=number>0</span>;</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span>[] row : chessArr) &#123;</span><br><span class=line>            <span class=keyword>for</span> (<span class=type>int</span> chess : row) &#123;</span><br><span class=line>                <span class=keyword>if</span> (chess != <span class=number>0</span>) &#123;</span><br><span class=line>                    sum++;</span><br><span class=line>                &#125;</span><br><span class=line>            &#125;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>int</span>[][] sparseArr = <span class=keyword>new</span> <span class="title class_">int</span>[sum + <span class=number>1</span>][<span class=number>3</span>];</span><br><span class=line>        <span class=type>int</span> <span class=variable>chessRow</span> <span class=operator>=</span> chessArr.length;</span><br><span class=line>        <span class=type>int</span> <span class=variable>chessCol</span> <span class=operator>=</span> <span class=number>0</span>;</span><br><span class=line>        <span class=type>int</span> <span class=variable>count</span> <span class=operator>=</span> <span class=number>0</span>;</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> <span class=number>0</span>; i &lt; chessArr.length; i++) &#123;</span><br><span class=line>            <span class=type>int</span>[] rows = chessArr[i];</span><br><span class=line>            <span class=keyword>if</span> (chessCol == <span class=number>0</span>) &#123;</span><br><span class=line>                chessCol = rows.length;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>j</span> <span class=operator>=</span> <span class=number>0</span>; j &lt; rows.length; j++) &#123;</span><br><span class=line>                <span class=type>int</span> <span class=variable>chess</span> <span class=operator>=</span> rows[j];</span><br><span class=line>                <span class=keyword>if</span> (chess == <span class=number>0</span>) &#123;</span><br><span class=line>                    <span class=keyword>continue</span>;</span><br><span class=line>                &#125;</span><br><span class=line>                count++;</span><br><span class=line>                sparseArr[count][<span class=number>0</span>] = i;</span><br><span class=line>                sparseArr[count][<span class=number>1</span>] = j;</span><br><span class=line>                sparseArr[count][<span class=number>2</span>] = chess;</span><br><span class=line>            &#125;</span><br><span class=line>        &#125;</span><br><span class=line>        sparseArr[<span class=number>0</span>][<span class=number>0</span>] = chessRow;</span><br><span class=line>        sparseArr[<span class=number>0</span>][<span class=number>1</span>] = chessCol;</span><br><span class=line>        sparseArr[<span class=number>0</span>][<span class=number>2</span>] = sum;</span><br><span class=line>        <span class=keyword>return</span> sparseArr;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/*</span></span><br><span class=line><span class=comment>     * 1. 创建原有大小的二维数组</span></span><br><span class=line><span class=comment>     * 2. 将稀疏数组中的有效数字返回到原来的二维数组中</span></span><br><span class=line><span class=comment>     * 3. 返回原来的二维矩阵</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> <span class=keyword>static</span> <span class=type>int</span>[][] sparseToChess(<span class=type>int</span>[][] sparseArr) &#123;</span><br><span class=line>        <span class=type>int</span>[][] chessArr = <span class=keyword>new</span> <span class="title class_">int</span>[sparseArr[<span class=number>0</span>][<span class=number>0</span>]][sparseArr[<span class=number>0</span>][<span class=number>1</span>]];</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> <span class=number>1</span>; i &lt; sparseArr.length; i++) &#123;</span><br><span class=line>            <span class=type>int</span>[] rows = sparseArr[i];</span><br><span class=line>            chessArr[rows[<span class=number>0</span>]][rows[<span class=number>1</span>]] = rows[<span class=number>2</span>];</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> chessArr;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/*</span></span><br><span class=line><span class=comment>     * 通过两个for循环每行循环打印输出</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">printChessArray</span><span class=params>(<span class=type>int</span>[][] chessArr)</span> &#123;</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span>[] row : chessArr) &#123;</span><br><span class=line>            <span class=keyword>for</span> (<span class=type>int</span> data : row) &#123;</span><br><span class=line>                System.out.printf(<span class=string>&quot;%-2d\t&quot;</span>, data);</span><br><span class=line>            &#125;</span><br><span class=line>            System.out.println(<span class=string>&quot;&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><ol><li>输出结果</li></ol><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br></pre></td><td class=code><pre><span class=line>Raw array preview:</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       1       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       2       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       5       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>chessArray to sparseArray:</span><br><span class=line>11      11      3</span><br><span class=line>1       2       1</span><br><span class=line>2       3       2</span><br><span class=line>5       5       5</span><br><span class=line>sparseArray to chessArray:</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       1       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       2       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       5       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br><span class=line>0       0       0       0       0       0       0       0       0       0       0</span><br></pre></td></tr></table></figure></div></details><h2 id=线性表的链式存储结构><a href=#线性表的链式存储结构 class=headerlink title=线性表的链式存储结构></a>线性表的链式存储结构</h2><h3 id=基本概念><a href=#基本概念 class=headerlink title=基本概念></a>基本概念</h3><ol><li>链表是以 <strong>节点</strong> 的方式来存储，是 <strong>链式存储</strong>。</li><li>每个节点包含 <strong>data 域</strong>、<strong>next 域</strong>，next 域指向下一个节点。</li><li>链表还分：带头节点、不带头节点，根据实际需求来确定。</li><li>链表的各个节点 不一定是连续存储。</li></ol><h3 id=单链表><a href=#单链表 class=headerlink title=单链表></a>单链表</h3><ol><li><p>单链表的一般形式</p><div class=tabs id=2><ul class=nav-tabs><li class="tab active"><button type=button data-href=#2-1>不带表头节点</button></li><li class=tab><button type=button data-href=#2-2>带表头节点</button></li></ul><div class=tab-contents><div class="tab-item-content active" id=2-1><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20221225111609.png></p><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div><div class=tab-item-content id=2-2><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20221225111856.png></p><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div></div></div></li><li><p>单链表的代码实现(考虑一个这样的场景使用带头单链表实现<span class=bubble-content>P5R Phantom Thieves</span><span class=bubble-notation><span class=bubble-item style=background-color:#DC143C;>原教程是用的水浒传英雄的管理为啥我换成P5R呢？这是因为vscode Junit单元测试的时候输出中文乱码，我上网搜索了一下也没什么好的解决办法，索性全部用英文算了，正好最近我在打P5R就干脆拿来用了。</span></span>的成员管理)</p><details class=folding-tag green><summary>查看代码实现</summary><div class=content><div class="note primary flat"><ol><li>完成对怪盗团成员的<strong>增删查改</strong>操作。</li><li>第一种方法：在添加成员时,直接添加到链表的尾部。</li><li>第二种方法：在添加成员时,根据序号将成员添加到指定的位置，如果有这个序号，则添加失败并给出提示。</li></ol></div><ol><li>构造链表节点的类</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 构造链表中的一个节点</span></span><br><span class=line><span class=keyword>class</span> <span class="title class_">HeroNode</span> &#123;</span><br><span class=line>    <span class=comment>// 定义4个基本属性</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> no; <span class=comment>// 序号</span></span><br><span class=line>    <span class=keyword>public</span> String name; <span class=comment>// 名字</span></span><br><span class=line>    <span class=keyword>public</span> String nickName; <span class=comment>// 代号</span></span><br><span class=line>    <span class=keyword>public</span> HeroNode next; <span class=comment>// 指针域</span></span><br><span class=line></span><br><span class=line>    <span class=comment>// 书写构造函数</span></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">HeroNode</span><span class=params>(<span class=type>int</span> no, String name, String nickName)</span> &#123;</span><br><span class=line>        <span class=built_in>this</span>.no = no;</span><br><span class=line>        <span class=built_in>this</span>.name = name;</span><br><span class=line>        <span class=built_in>this</span>.nickName = nickName;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 为方便重新打印重写toString函数</span></span><br><span class=line>    <span class=meta>@Override</span></span><br><span class=line>    <span class=keyword>public</span> String <span class="title function_">toString</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> <span class=string>&quot;HeroNode&#123;&quot;</span> +</span><br><span class=line>                <span class=string>&quot;no=&quot;</span> + no +</span><br><span class=line>                <span class=string>&quot;, name=&#x27;&quot;</span> + name + <span class=string>&#x27;\&#x27;&#x27;</span> +</span><br><span class=line>                <span class=string>&quot;, nickName=&#x27;&quot;</span> + nickName + <span class=string>&#x27;\&#x27;&#x27;</span> +</span><br><span class=line>                <span class=string>&#x27;&#125;&#x27;</span>;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><div class="note success flat"><ol></ol></div></p><p><li>单链表反转思路<ol></ol></li></p><p><li>定义一个新的<code>reverseHead</code>节点。</li></p><p><li>从原链表中依次取出节点，并始终添加到<code>reverseHead</code>的第一个节点。<br><code>next = cur.next;</code><br><code>cur.next = reverseHead.next;</code><br><code>reverseHead.next = cur;</code><br><code>cur = next;</code></li></p><p><li>将<code>head</code>节点的<code>next</code>指向<code>reverseHead</code>节点的<code>next</code>。</li><br>&lt;/ol&gt;<br>&lt;/li&gt;<br>&lt;/ol&gt;<br>&lt;/div&gt;</p><ol><li>构造链表类</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br><span class=line>90</span><br><span class=line>91</span><br><span class=line>92</span><br><span class=line>93</span><br><span class=line>94</span><br><span class=line>95</span><br><span class=line>96</span><br><span class=line>97</span><br><span class=line>98</span><br><span class=line>99</span><br><span class=line>100</span><br><span class=line>101</span><br><span class=line>102</span><br><span class=line>103</span><br><span class=line>104</span><br><span class=line>105</span><br><span class=line>106</span><br><span class=line>107</span><br><span class=line>108</span><br><span class=line>109</span><br><span class=line>110</span><br><span class=line>111</span><br><span class=line>112</span><br><span class=line>113</span><br><span class=line>114</span><br><span class=line>115</span><br><span class=line>116</span><br><span class=line>117</span><br><span class=line>118</span><br><span class=line>119</span><br><span class=line>120</span><br><span class=line>121</span><br><span class=line>122</span><br><span class=line>123</span><br><span class=line>124</span><br><span class=line>125</span><br><span class=line>126</span><br><span class=line>127</span><br><span class=line>128</span><br><span class=line>129</span><br><span class=line>130</span><br><span class=line>131</span><br><span class=line>132</span><br><span class=line>133</span><br><span class=line>134</span><br><span class=line>135</span><br><span class=line>136</span><br><span class=line>137</span><br><span class=line>138</span><br><span class=line>139</span><br><span class=line>140</span><br><span class=line>141</span><br><span class=line>142</span><br><span class=line>143</span><br><span class=line>144</span><br><span class=line>145</span><br><span class=line>146</span><br><span class=line>147</span><br><span class=line>148</span><br><span class=line>149</span><br><span class=line>150</span><br><span class=line>151</span><br><span class=line>152</span><br><span class=line>153</span><br><span class=line>154</span><br><span class=line>155</span><br><span class=line>156</span><br><span class=line>157</span><br><span class=line>158</span><br><span class=line>159</span><br><span class=line>160</span><br><span class=line>161</span><br><span class=line>162</span><br><span class=line>163</span><br><span class=line>164</span><br><span class=line>165</span><br><span class=line>166</span><br><span class=line>167</span><br><span class=line>168</span><br><span class=line>169</span><br><span class=line>170</span><br><span class=line>171</span><br><span class=line>172</span><br><span class=line>173</span><br><span class=line>174</span><br><span class=line>175</span><br><span class=line>176</span><br><span class=line>177</span><br><span class=line>178</span><br><span class=line>179</span><br><span class=line>180</span><br><span class=line>181</span><br><span class=line>182</span><br><span class=line>183</span><br><span class=line>184</span><br><span class=line>185</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 单向链表节点的书写</span></span><br><span class=line><span class=keyword>class</span> <span class="title class_">SingleLinkedList</span> &#123;</span><br><span class=line>    <span class=comment>// 创建一个头节点</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>HeroNode</span> <span class=variable>head</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>0</span>, <span class=string>&quot;&quot;</span>, <span class=string>&quot;&quot;</span>);</span><br><span class=line></span><br><span class=line>    <span class=comment>// 添加节点，将新加入的元素添加至链表的最后</span></span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">add</span><span class=params>(HeroNode node)</span> &#123;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head;</span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=keyword>if</span> (temp.next == <span class=literal>null</span>) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>        temp.next = node;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 打印链表中的数据</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">list</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (head.next == <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;The linked list is empty!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head.next;</span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=keyword>if</span> (temp == <span class=literal>null</span>) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            System.out.println(temp);</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 有序插入元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">addByOrder</span><span class=params>(HeroNode node)</span> &#123;</span><br><span class=line>        <span class=comment>// 分为节点为空 大于 相等三种情况来书写函数</span></span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head; <span class=comment>// 此处temp为辅助变量存放在栈中，指向堆空间的head</span></span><br><span class=line>        <span class=type>boolean</span> <span class=variable>exist</span> <span class=operator>=</span> <span class=literal>false</span>;</span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=keyword>if</span> (temp.next == <span class=literal>null</span>) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=keyword>if</span> (temp.next.no &gt; node.no) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=keyword>if</span> (temp.next.no == node.no) &#123;</span><br><span class=line>                exist = <span class=literal>true</span>;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>if</span> (exist) &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;The phantom thief number %d to be inserted already exists and can&#x27;t be added! \n&quot;</span>,</span><br><span class=line>                    node.no);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        node.next = temp.next;</span><br><span class=line>        temp.next = node;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 书写更新链表数据函数</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">update</span><span class=params>(HeroNode newNode)</span> &#123;</span><br><span class=line>        <span class=comment>// 分为空和相等来区分计算</span></span><br><span class=line>        <span class=keyword>if</span> (head.next == <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;The linked list is empty!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head.next;</span><br><span class=line>        <span class=type>boolean</span> <span class=variable>exist</span> <span class=operator>=</span> <span class=literal>false</span>;</span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=keyword>if</span> (temp == <span class=literal>null</span>) &#123;</span><br><span class=line>                System.out.println(<span class=string>&quot;The linked list is empty!&quot;</span>);</span><br><span class=line>                <span class=keyword>return</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=keyword>if</span> (temp.no == newNode.no) &#123;</span><br><span class=line>                exist = <span class=literal>true</span>;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>if</span> (exist) &#123;</span><br><span class=line>            temp.name = newNode.name;</span><br><span class=line>            temp.nickName = newNode.nickName;</span><br><span class=line>        &#125; <span class=keyword>else</span> &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;Phantom thief with number %d not found&quot;</span>, newNode.no);</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 删除节点操作</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">delete</span><span class=params>(<span class=type>int</span> no)</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (head.next == <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;The linked list is empty!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head;</span><br><span class=line>        <span class=type>boolean</span> <span class=variable>exist</span> <span class=operator>=</span> <span class=literal>false</span>; <span class=comment>// 是否找到要删除的节点</span></span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=keyword>if</span> (temp.next == <span class=literal>null</span>) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=keyword>if</span> (temp.next.no == no) &#123;</span><br><span class=line>                exist = <span class=literal>true</span>;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>if</span> (!exist) &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;Phantom thief with number %d not found! \n&quot;</span>, no);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=comment>// 删除操作</span></span><br><span class=line>        temp.next = temp.next.next;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 统计有效节点的个数，即遍历链表</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">length</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head.next;</span><br><span class=line>        <span class=type>int</span> <span class=variable>num</span> <span class=operator>=</span> <span class=number>0</span>;</span><br><span class=line>        <span class=keyword>if</span> (head.next == <span class=literal>null</span>) &#123;</span><br><span class=line>            <span class=keyword>return</span> <span class=number>0</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>while</span> (temp != <span class=literal>null</span>) &#123;</span><br><span class=line>            num++;</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> num;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 查找单链表中的倒数第k个节点</span></span><br><span class=line>    <span class=keyword>public</span> HeroNode <span class="title function_">findLastIndexNode</span><span class=params>(<span class=type>int</span> index)</span> &#123;</span><br><span class=line>        <span class=comment>// 通过size与index的大小来判断</span></span><br><span class=line>        <span class=type>int</span> <span class=variable>size</span> <span class=operator>=</span> length();</span><br><span class=line>        <span class=keyword>if</span> (size == <span class=number>0</span>) &#123;</span><br><span class=line>            <span class=keyword>return</span> <span class=literal>null</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>if</span> (index &lt;= <span class=number>0</span> || index &gt; size) &#123;</span><br><span class=line>            <span class=keyword>return</span> <span class=literal>null</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>cur</span> <span class=operator>=</span> head.next;</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> <span class=number>0</span>; i &lt; size - index; i++) &#123;</span><br><span class=line>            cur = cur.next;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> cur;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 单链表的反转</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">reverse</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=comment>// 始终添加到第一个节点</span></span><br><span class=line>        <span class=keyword>if</span> (head.next == <span class=literal>null</span>) &#123;</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>cur</span> <span class=operator>=</span> head.next;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>next</span> <span class=operator>=</span> <span class=literal>null</span>;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>reverseHead</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>0</span>, <span class=string>&quot;&quot;</span>, <span class=string>&quot;&quot;</span>);</span><br><span class=line></span><br><span class=line>        <span class=keyword>while</span> (cur != <span class=literal>null</span>) &#123;</span><br><span class=line>            next = cur.next; <span class=comment>// 储存下一个元素的指针</span></span><br><span class=line>            cur.next = reverseHead.next;</span><br><span class=line>            reverseHead.next = cur;</span><br><span class=line>            cur = next;</span><br><span class=line>        &#125;</span><br><span class=line>        head.next = reverseHead.next;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">reversePrint</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (head.next == <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;The Linked List is Empty!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line></span><br><span class=line>        Stack&lt;HeroNode&gt; stack = <span class=keyword>new</span> <span class="title class_">Stack</span>&lt;&gt;();</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>cur</span> <span class=operator>=</span> head.next;</span><br><span class=line>        <span class=comment>// 遍历原链表，入栈</span></span><br><span class=line>        <span class=keyword>while</span> (cur != <span class=literal>null</span>) &#123;</span><br><span class=line>            stack.push(cur);</span><br><span class=line>            cur = cur.next;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=comment>// 打印栈</span></span><br><span class=line>        <span class=keyword>while</span> (!stack.empty()) &#123;</span><br><span class=line>            System.out.println(stack.pop());</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line></span><br></pre></td></tr></table></figure><ol><li>测试函数</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br><span class=line>90</span><br><span class=line>91</span><br><span class=line>92</span><br><span class=line>93</span><br><span class=line>94</span><br><span class=line>95</span><br><span class=line>96</span><br><span class=line>97</span><br><span class=line>98</span><br><span class=line>99</span><br><span class=line>100</span><br><span class=line>101</span><br><span class=line>102</span><br><span class=line>103</span><br><span class=line>104</span><br><span class=line>105</span><br><span class=line>106</span><br><span class=line>107</span><br><span class=line>108</span><br><span class=line>109</span><br><span class=line>110</span><br><span class=line>111</span><br><span class=line>112</span><br><span class=line>113</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>    <span class=type>SingleLinkedListDemo</span> <span class=variable>singleLinkedListDemo</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">SingleLinkedListDemo</span>();</span><br><span class=line>    singleLinkedListDemo.test1();</span><br><span class=line>    singleLinkedListDemo.test2();</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">test1</span><span class=params>()</span> &#123;</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero1</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>1</span>, <span class=string>&quot;Amamiya Ren&quot;</span>, <span class=string>&quot;Joker&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero2</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>2</span>, <span class=string>&quot;Ryuji Sakamoto&quot;</span>, <span class=string>&quot;Skull&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero3</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>3</span>, <span class=string>&quot;Anne Takamaki&quot;</span>, <span class=string>&quot;Panther&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero4</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>4</span>, <span class=string>&quot;Yusuke Kitagawa&quot;</span>, <span class=string>&quot;Fox&quot;</span>);</span><br><span class=line>    <span class=type>SingleLinkedList</span> <span class=variable>singleLinkedList</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">SingleLinkedList</span>();</span><br><span class=line>    singleLinkedList.add(hero1);</span><br><span class=line>    singleLinkedList.add(hero2);</span><br><span class=line>    singleLinkedList.add(hero3);</span><br><span class=line>    singleLinkedList.add(hero4);</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">test2</span><span class=params>()</span> &#123;</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero1</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>1</span>, <span class=string>&quot;Amamiya Ren&quot;</span>, <span class=string>&quot;Joker&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero2</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>2</span>, <span class=string>&quot;Ryuji Sakamoto&quot;</span>, <span class=string>&quot;Skull&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero3</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>3</span>, <span class=string>&quot;Anne Takamaki&quot;</span>, <span class=string>&quot;Panther&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero4</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>4</span>, <span class=string>&quot;Yusuke Kitagawa&quot;</span>, <span class=string>&quot;Fox&quot;</span>);</span><br><span class=line></span><br><span class=line>    <span class=type>SingleLinkedList</span> <span class=variable>singleLinkedList</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">SingleLinkedList</span>();</span><br><span class=line></span><br><span class=line>    singleLinkedList.addByOrder(hero4); <span class=comment>// 添加顺序提前</span></span><br><span class=line>    singleLinkedList.addByOrder(hero2);</span><br><span class=line>    singleLinkedList.addByOrder(hero1);</span><br><span class=line>    singleLinkedList.addByOrder(hero3);</span><br><span class=line>    singleLinkedList.addByOrder(hero3);</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=keyword>private</span> SingleLinkedList singleLinkedList;</span><br><span class=line></span><br><span class=line><span class=meta>@Before</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">before</span><span class=params>()</span> &#123;</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero1</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>1</span>, <span class=string>&quot;Amamiya Ren&quot;</span>, <span class=string>&quot;Joker&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero2</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>2</span>, <span class=string>&quot;Ryuji Sakamoto&quot;</span>, <span class=string>&quot;Skull&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero3</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>3</span>, <span class=string>&quot;Anne Takamaki&quot;</span>, <span class=string>&quot;Panther&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero4</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>4</span>, <span class=string>&quot;Yusuke Kitagawa&quot;</span>, <span class=string>&quot;Fox&quot;</span>);</span><br><span class=line></span><br><span class=line>    singleLinkedList = <span class=keyword>new</span> <span class="title class_">SingleLinkedList</span>();</span><br><span class=line></span><br><span class=line>    singleLinkedList.addByOrder(hero4); <span class=comment>// 添加顺序提前</span></span><br><span class=line>    singleLinkedList.addByOrder(hero2);</span><br><span class=line>    singleLinkedList.addByOrder(hero1);</span><br><span class=line>    singleLinkedList.addByOrder(hero3);</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=meta>@Test</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">updateTest</span><span class=params>()</span> &#123;</span><br><span class=line>    <span class=comment>// 测试修改</span></span><br><span class=line>    System.out.println(<span class=string>&quot;Before update:&quot;</span>);</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>hero4New</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>4</span>, <span class=string>&quot;Yusuke Kitagawa-Test&quot;</span>, <span class=string>&quot;Fox-Test&quot;</span>);</span><br><span class=line>    singleLinkedList.update(hero4New);</span><br><span class=line></span><br><span class=line>    System.out.println(<span class=string>&quot;After update:&quot;</span>);</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=meta>@Test</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">deleteTest</span><span class=params>()</span> &#123;</span><br><span class=line>    System.out.println(<span class=string>&quot;Before deletion:&quot;</span>);</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line>    singleLinkedList.delete(<span class=number>1</span>);</span><br><span class=line>    singleLinkedList.delete(<span class=number>4</span>);</span><br><span class=line>    System.out.println(<span class=string>&quot;After deletion:&quot;</span>);</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=meta>@Test</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">lengthTest</span><span class=params>()</span> &#123;</span><br><span class=line>    System.out.println(singleLinkedList.length());</span><br><span class=line>    singleLinkedList.delete(<span class=number>1</span>);</span><br><span class=line>    System.out.println(singleLinkedList.length());</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=meta>@Test</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">findLastIndexNodeTest</span><span class=params>()</span> &#123;</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line>    System.out.println(<span class=string>&quot;Search Test&quot;</span>);</span><br><span class=line>    <span class=type>HeroNode</span> <span class=variable>lastIndexNode</span> <span class=operator>=</span> singleLinkedList.findLastIndexNode(<span class=number>1</span>);</span><br><span class=line>    System.out.println(<span class=string>&quot;Find the 1st last &quot;</span> + lastIndexNode);</span><br><span class=line>    lastIndexNode = singleLinkedList.findLastIndexNode(<span class=number>4</span>);</span><br><span class=line>    System.out.println(<span class=string>&quot;Find the 4th last &quot;</span> + lastIndexNode);</span><br><span class=line>    lastIndexNode = singleLinkedList.findLastIndexNode(<span class=number>2</span>);</span><br><span class=line>    System.out.println(<span class=string>&quot;Find the 2nd last &quot;</span> + lastIndexNode);</span><br><span class=line>    lastIndexNode = singleLinkedList.findLastIndexNode(<span class=number>5</span>);</span><br><span class=line>    System.out.println(<span class=string>&quot;Find the 5th last &quot;</span> + lastIndexNode);</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=meta>@Test</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">reverseTest</span><span class=params>()</span> &#123;</span><br><span class=line>    System.out.println(<span class=string>&quot;Before reversal:&quot;</span>);</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line></span><br><span class=line>    singleLinkedList.reverse();</span><br><span class=line></span><br><span class=line>    System.out.println(<span class=string>&quot;After reversal:&quot;</span>);</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=meta>@Test</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">reversePrintTest</span><span class=params>()</span> &#123;</span><br><span class=line>    System.out.println(<span class=string>&quot;The data of the linked list:&quot;</span>);</span><br><span class=line>    singleLinkedList.list();</span><br><span class=line>    System.out.println(<span class=string>&quot;Print in reverse order:&quot;</span>);</span><br><span class=line>    singleLinkedList.reversePrint();</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><ol><li>输出结果</li></ol><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br></pre></td><td class=code><pre><span class=line>Test1:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line></span><br><span class=line>Test2:</span><br><span class=line>The phantom thief number 3 to be inserted already exists and can&#x27;t be added!</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line></span><br><span class=line>updateTest:</span><br><span class=line>Before update:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>After update:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa-Test&#x27;, nickName=&#x27;Fox-Test&#x27;&#125;</span><br><span class=line></span><br><span class=line>deleteTest:</span><br><span class=line>Before deletion:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>After deletion:</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line></span><br><span class=line>lengthTest:</span><br><span class=line>4</span><br><span class=line>3</span><br><span class=line></span><br><span class=line>findLastIndexNodeTest:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>Search Test</span><br><span class=line>Find the 1st last HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>Find the 4th last HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>Find the 2nd last HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>Find the 5th last null</span><br><span class=line></span><br><span class=line>reverseTest:</span><br><span class=line>Before reversal:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>After reversal:</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line></span><br><span class=line>reversePrintTest:</span><br><span class=line>The data of the linked list:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>Print in reverse order:</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br></pre></td></tr></table></figure></div></details></li></ol><h3 id=双向链表><a href=#双向链表 class=headerlink title=双向链表></a>双向链表</h3><div class="note primary flat"><p>双向链表节点定义与单向链表大致相同，只不过多了一个指向前一个节点的指针域。</p></div><ol><li>双向链表相关函数的实现思路<div class="checkbox checked"><input type=radio checked><p>基本实现思路与单向链表相同，可在前者的基础上作出修改</p></div></li><li>双向链表的代码实现<details class=folding-tag green><summary>查看代码实现</summary><div class=content><ol><li>函数编写</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br><span class=line>90</span><br><span class=line>91</span><br><span class=line>92</span><br><span class=line>93</span><br><span class=line>94</span><br><span class=line>95</span><br><span class=line>96</span><br><span class=line>97</span><br><span class=line>98</span><br><span class=line>99</span><br><span class=line>100</span><br><span class=line>101</span><br><span class=line>102</span><br><span class=line>103</span><br><span class=line>104</span><br><span class=line>105</span><br><span class=line>106</span><br><span class=line>107</span><br><span class=line>108</span><br><span class=line>109</span><br><span class=line>110</span><br><span class=line>111</span><br><span class=line>112</span><br><span class=line>113</span><br><span class=line>114</span><br><span class=line>115</span><br><span class=line>116</span><br><span class=line>117</span><br><span class=line>118</span><br><span class=line>119</span><br><span class=line>120</span><br><span class=line>121</span><br><span class=line>122</span><br><span class=line>123</span><br><span class=line>124</span><br><span class=line>125</span><br><span class=line>126</span><br><span class=line>127</span><br><span class=line>128</span><br><span class=line>129</span><br><span class=line>130</span><br><span class=line>131</span><br><span class=line>132</span><br><span class=line>133</span><br><span class=line>134</span><br><span class=line>135</span><br><span class=line>136</span><br><span class=line>137</span><br><span class=line>138</span><br><span class=line>139</span><br><span class=line>140</span><br><span class=line>141</span><br><span class=line>142</span><br><span class=line>143</span><br><span class=line>144</span><br><span class=line>145</span><br><span class=line>146</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.DoubleLinkedListPackage;</span><br><span class=line></span><br><span class=line><span class=keyword>class</span> <span class="title class_">HeroNode</span> &#123;</span><br><span class=line>    <span class=comment>// 基本的元素与构造元素与单链表基本相同，主要多了一个pre域</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> no;</span><br><span class=line>    <span class=keyword>public</span> String name;</span><br><span class=line>    <span class=keyword>public</span> String nickName;</span><br><span class=line>    <span class=keyword>public</span> HeroNode next;</span><br><span class=line>    <span class=keyword>public</span> HeroNode pre;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">HeroNode</span><span class=params>(<span class=type>int</span> no, String name, String nickName)</span> &#123;</span><br><span class=line>        <span class=built_in>this</span>.no = no;</span><br><span class=line>        <span class=built_in>this</span>.name = name;</span><br><span class=line>        <span class=built_in>this</span>.nickName = nickName;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 重写函数也基本一致</span></span><br><span class=line>    <span class=meta>@Override</span></span><br><span class=line>    <span class=keyword>public</span> String <span class="title function_">toString</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> <span class=string>&quot;HeroNode&#123;&quot;</span> +</span><br><span class=line>                <span class=string>&quot;no=&quot;</span> + no +</span><br><span class=line>                <span class=string>&quot;, name=&#x27;&quot;</span> + name + <span class=string>&#x27;\&#x27;&#x27;</span> +</span><br><span class=line>                <span class=string>&quot;, nickName=&#x27;&quot;</span> + nickName + <span class=string>&#x27;\&#x27;&#x27;</span> +</span><br><span class=line>                <span class=string>&#x27;&#125;&#x27;</span>;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=comment>// 对双向链表类进行编写</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">DoubleLinkedList</span> &#123;</span><br><span class=line>    <span class=comment>// 同样的，初始化一个最初的节点</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>HeroNode</span> <span class=variable>head</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>0</span>, <span class=string>&quot;&quot;</span>, <span class=string>&quot;&quot;</span>);</span><br><span class=line></span><br><span class=line>    <span class=comment>// 将节点添加到链表的尾部</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">add</span><span class=params>(HeroNode node)</span> &#123;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head;</span><br><span class=line>        <span class=keyword>while</span> (temp.next != <span class=literal>null</span>) &#123;</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>        temp.next = node;</span><br><span class=line>        node.pre = temp;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 修改值的函数，与单向链表基本相同</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">update</span><span class=params>(HeroNode newNode)</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (head.next == <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;The linked list is empty!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line></span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head;</span><br><span class=line>        <span class=type>boolean</span> <span class=variable>exist</span> <span class=operator>=</span> <span class=literal>false</span>;</span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=keyword>if</span> (temp.next == <span class=literal>null</span>) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=keyword>if</span> (temp.no == newNode.no) &#123;</span><br><span class=line>                exist = <span class=literal>true</span>;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>if</span> (exist) &#123;</span><br><span class=line>            temp.name = newNode.name;</span><br><span class=line>            temp.nickName = newNode.nickName;</span><br><span class=line>        &#125; <span class=keyword>else</span> &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;no element found with number: %d !&quot;</span>, newNode.no);</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 删除函数与单向链表的思路基本相同，需要注意删除的操作以及最后一位元素的删除处理</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">delete</span><span class=params>(<span class=type>int</span> no)</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (head.next == <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;The linked list is empty!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line></span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head.next;</span><br><span class=line>        <span class=type>boolean</span> <span class=variable>exist</span> <span class=operator>=</span> <span class=literal>false</span>;</span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=keyword>if</span> (temp.next == <span class=literal>null</span>) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=keyword>if</span> (temp.no == no) &#123;</span><br><span class=line>                exist = <span class=literal>true</span>;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>if</span> (!exist) &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;no element found with number: %d !&quot;</span>, no);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>if</span> (temp.next != <span class=literal>null</span>) &#123;</span><br><span class=line>            temp.next.pre = temp.pre;</span><br><span class=line>        &#125;</span><br><span class=line>        temp.pre.next = temp.next;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 打印链表</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">print</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (head.next == <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;The linked list is empty!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>cur</span> <span class=operator>=</span> head.next;</span><br><span class=line>        <span class=keyword>while</span> (cur != <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(cur);</span><br><span class=line>            cur = cur.next;</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 按序添加</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">addByOrder</span><span class=params>(HeroNode node)</span> &#123;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>temp</span> <span class=operator>=</span> head;</span><br><span class=line>        <span class=type>boolean</span> <span class=variable>exist</span> <span class=operator>=</span> <span class=literal>false</span>; <span class=comment>// 添加的节点是否已经在链表中存在</span></span><br><span class=line></span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=comment>// 已到列表尾部</span></span><br><span class=line>            <span class=keyword>if</span> (temp.next == <span class=literal>null</span>) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=comment>// 已找到</span></span><br><span class=line>            <span class=keyword>if</span> (temp.next.no &gt; node.no) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line></span><br><span class=line>            <span class=comment>// 已存在该编号</span></span><br><span class=line>            <span class=keyword>if</span> (temp.next.no == node.no) &#123;</span><br><span class=line>                exist = <span class=literal>true</span>;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            temp = temp.next;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>if</span> (exist) &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;The phantom thief number %d to be inserted already exists and can&#x27;t be added! \n&quot;</span>, node.no);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line></span><br><span class=line>        <span class=comment>// 把节点插入到 temp 和 temp.next 之间</span></span><br><span class=line>        <span class=comment>// temp -&gt; node -&gt; temp.next</span></span><br><span class=line>        node.next = temp.next;</span><br><span class=line>        temp.next = node;</span><br><span class=line>        node.pre = temp.next.pre;</span><br><span class=line>        temp.next.pre = node;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><ol><li>测试用例</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.DoubleLinkedListPackage;</span><br><span class=line></span><br><span class=line><span class=keyword>import</span> org.junit.Before;</span><br><span class=line><span class=keyword>import</span> org.junit.Test;</span><br><span class=line></span><br><span class=line><span class=comment>/**</span></span><br><span class=line><span class=comment> * 双向链表测试</span></span><br><span class=line><span class=comment> */</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">DoubleLinkedListTest</span> &#123;</span><br><span class=line>    DoubleLinkedList doubleLinkedList;</span><br><span class=line></span><br><span class=line>    <span class=meta>@Before</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">before</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>hero1</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>1</span>, <span class=string>&quot;Amamiya Ren&quot;</span>, <span class=string>&quot;Joker&quot;</span>);</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>hero2</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>2</span>, <span class=string>&quot;Ryuji Sakamoto&quot;</span>, <span class=string>&quot;Skull&quot;</span>);</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>hero3</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>3</span>, <span class=string>&quot;Anne Takamaki&quot;</span>, <span class=string>&quot;Panther&quot;</span>);</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>hero4</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>4</span>, <span class=string>&quot;Yusuke Kitagawa&quot;</span>, <span class=string>&quot;Fox&quot;</span>);</span><br><span class=line></span><br><span class=line>        <span class=comment>// 测试新增</span></span><br><span class=line>        doubleLinkedList = <span class=keyword>new</span> <span class="title class_">DoubleLinkedList</span>();</span><br><span class=line>        doubleLinkedList.add(hero1);</span><br><span class=line>        doubleLinkedList.add(hero4);</span><br><span class=line>        doubleLinkedList.add(hero2);</span><br><span class=line>        doubleLinkedList.add(hero3);</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">addTest</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=comment>// before 中已测试</span></span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 更新测试</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">updateTest</span><span class=params>()</span> &#123;</span><br><span class=line>        System.out.println(<span class=string>&quot;Before update:&quot;</span>);</span><br><span class=line>        doubleLinkedList.print();</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>hero4New</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>4</span>, <span class=string>&quot;Yusuke Kitagawa-Test&quot;</span>, <span class=string>&quot;Fox-Test&quot;</span>);</span><br><span class=line>        doubleLinkedList.update(hero4New);</span><br><span class=line>        System.out.println(<span class=string>&quot;After update:&quot;</span>);</span><br><span class=line>        doubleLinkedList.print();</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 删除测试</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">deleteTest</span><span class=params>()</span> &#123;</span><br><span class=line>        System.out.println(<span class=string>&quot;Before deletion:&quot;</span>);</span><br><span class=line>        doubleLinkedList.print();</span><br><span class=line>        doubleLinkedList.delete(<span class=number>1</span>);</span><br><span class=line>        doubleLinkedList.delete(<span class=number>4</span>);</span><br><span class=line>        doubleLinkedList.delete(<span class=number>3</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;After deletion:&quot;</span>);</span><br><span class=line>        doubleLinkedList.print();</span><br><span class=line>    &#125;</span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">addByOrderTest</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>hero1</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>1</span>, <span class=string>&quot;Amamiya Ren&quot;</span>, <span class=string>&quot;Joker&quot;</span>);</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>hero2</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>2</span>, <span class=string>&quot;Ryuji Sakamoto&quot;</span>, <span class=string>&quot;Skull&quot;</span>);</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>hero3</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>3</span>, <span class=string>&quot;Anne Takamaki&quot;</span>, <span class=string>&quot;Panther&quot;</span>);</span><br><span class=line>        <span class=type>HeroNode</span> <span class=variable>hero4</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">HeroNode</span>(<span class=number>4</span>, <span class=string>&quot;Yusuke Kitagawa&quot;</span>, <span class=string>&quot;Fox&quot;</span>);</span><br><span class=line></span><br><span class=line>        <span class=comment>// 测试新增</span></span><br><span class=line>        doubleLinkedList = <span class=keyword>new</span> <span class="title class_">DoubleLinkedList</span>();</span><br><span class=line>        doubleLinkedList.addByOrder(hero1);</span><br><span class=line>        doubleLinkedList.addByOrder(hero4);</span><br><span class=line>        doubleLinkedList.addByOrder(hero2);</span><br><span class=line>        doubleLinkedList.addByOrder(hero3);</span><br><span class=line>        doubleLinkedList.addByOrder(hero3);</span><br><span class=line>        doubleLinkedList.print();</span><br><span class=line></span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><ol><li>输出结果</li></ol><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br></pre></td><td class=code><pre><span class=line>Before update:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>After update:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa-Test&#x27;, nickName=&#x27;Fox-Test&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line></span><br><span class=line></span><br><span class=line>Before deletion:</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>no element found with number: 3 !After deletion:</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line></span><br><span class=line></span><br><span class=line>The phantom thief number 3 to be inserted already exists and can&#x27;t be added!</span><br><span class=line>HeroNode&#123;no=1, name=&#x27;Amamiya Ren&#x27;, nickName=&#x27;Joker&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=2, name=&#x27;Ryuji Sakamoto&#x27;, nickName=&#x27;Skull&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=3, name=&#x27;Anne Takamaki&#x27;, nickName=&#x27;Panther&#x27;&#125;</span><br><span class=line>HeroNode&#123;no=4, name=&#x27;Yusuke Kitagawa&#x27;, nickName=&#x27;Fox&#x27;&#125;</span><br></pre></td></tr></table></figure></div></details></li></ol><h3 id=循环链表><a href=#循环链表 class=headerlink title=循环链表></a>循环链表</h3><div class="note primary flat"><p>循环链表的讲解将与约瑟夫问题结合实现</p></div><ol><li>实现基本思路<ol><li>先构成一个有<code>n</code>个节点的单循环链表。</li><li>然后由<code>k</code>节点起从<code>1</code>开始计数。</li><li>计数到<code>m</code>时，对应节点从链表中删除，然后从下一个节点又从<code>1</code>开始计数</li></ol></li><li>代码实现<details class=folding-tag green><summary>查看代码实现</summary><div class=content><ol><li>函数编写</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br><span class=line>90</span><br><span class=line>91</span><br><span class=line>92</span><br><span class=line>93</span><br><span class=line>94</span><br><span class=line>95</span><br><span class=line>96</span><br><span class=line>97</span><br><span class=line>98</span><br><span class=line>99</span><br><span class=line>100</span><br><span class=line>101</span><br><span class=line>102</span><br><span class=line>103</span><br><span class=line>104</span><br><span class=line>105</span><br><span class=line>106</span><br><span class=line>107</span><br><span class=line>108</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure;</span><br><span class=line></span><br><span class=line><span class=comment>// 构造孩子节点</span></span><br><span class=line><span class=keyword>class</span> <span class="title class_">Boy</span> &#123;</span><br><span class=line>    <span class=type>int</span> no;</span><br><span class=line>    Boy next;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">Boy</span><span class=params>(<span class=type>int</span> no)</span> &#123;</span><br><span class=line>        <span class=built_in>this</span>.no = no;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">CircleSingleLinkedList</span> &#123;</span><br><span class=line>    <span class=type>Boy</span> <span class=variable>first</span> <span class=operator>=</span> <span class=literal>null</span>;</span><br><span class=line></span><br><span class=line>    <span class=comment>/*</span></span><br><span class=line><span class=comment>     * 添加节点</span></span><br><span class=line><span class=comment>     * 1. 检查num的输入是否在1及以上</span></span><br><span class=line><span class=comment>     * 2. 通过cur指针循环前移，创建环形单链表</span></span><br><span class=line><span class=comment>     * 3. 第一个节点为空的时候需要特殊考虑</span></span><br><span class=line><span class=comment>     * 4. 添加节点的顺序为：cur指向boy,boy指向first,cur指针指向boy</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">add</span><span class=params>(<span class=type>int</span> num)</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (num &lt; <span class=number>1</span>) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;Please input a number greater than 1! &quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>Boy</span> <span class=variable>cur</span> <span class=operator>=</span> <span class=literal>null</span>;</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> <span class=number>1</span>; i &lt;= num; i++) &#123;</span><br><span class=line>            <span class=type>Boy</span> <span class=variable>boy</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Boy</span>(i);</span><br><span class=line>            <span class=keyword>if</span> (first == <span class=literal>null</span>) &#123;</span><br><span class=line>                first = boy;</span><br><span class=line>                boy.next = first;</span><br><span class=line>                cur = first;</span><br><span class=line>                <span class=keyword>continue</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            cur.next = boy;</span><br><span class=line>            boy.next = first;</span><br><span class=line>            cur = boy;</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 打印队列</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">print</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (first == <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;Queue empty!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>Boy</span> <span class=variable>cur</span> <span class=operator>=</span> first;</span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;Child number %d \n&quot;</span>, cur.no);</span><br><span class=line>            cur = cur.next;</span><br><span class=line>            <span class=comment>// 如果和 first 一致，则标识已经走了一圈了</span></span><br><span class=line>            <span class=keyword>if</span> (cur == first) &#123;</span><br><span class=line>                <span class=keyword>return</span>;</span><br><span class=line>            &#125;</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">countBoy</span><span class=params>(<span class=type>int</span> startNo, <span class=type>int</span> countNum, <span class=type>int</span> nums)</span> &#123;</span><br><span class=line>        <span class=comment>// 进行一个数据校验</span></span><br><span class=line>        <span class=keyword>if</span> (first == <span class=literal>null</span> || <span class=comment>// 环形队列没有构建</span></span><br><span class=line>                countNum &lt; <span class=number>1</span> || <span class=comment>// 每次至少数 1 下</span></span><br><span class=line>                startNo &gt; nums <span class=comment>// 开始小孩不能大于参与游戏的人数</span></span><br><span class=line>        ) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;The parameter is incorrect.Please re-enter it!&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=comment>// 1. 初始化辅助变量到 first 的后面</span></span><br><span class=line>        <span class=type>Boy</span> <span class=variable>helper</span> <span class=operator>=</span> first;</span><br><span class=line>        <span class=comment>// 当 helper.next = first 时，就说明已经定位了</span></span><br><span class=line>        <span class=keyword>while</span> (helper.next != first) &#123;</span><br><span class=line>            helper = helper.next;</span><br><span class=line>        &#125;</span><br><span class=line></span><br><span class=line>        <span class=comment>// 2. 定位 first 和 helper 在 startNo 位置</span></span><br><span class=line>        <span class=comment>// first 初始在最开始，移动到 startNo 位置</span></span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> <span class=number>0</span>; i &lt; startNo - <span class=number>1</span>; i++) &#123;</span><br><span class=line>            helper = first;</span><br><span class=line>            first = first.next;</span><br><span class=line>        &#125;</span><br><span class=line></span><br><span class=line>        <span class=comment>// 为了测试方便，这里添加一个日志输出</span></span><br><span class=line>        System.out.printf(<span class=string>&quot;Localize: %d \n&quot;</span>, startNo);</span><br><span class=line>        print();</span><br><span class=line></span><br><span class=line>        <span class=comment>// 3. 开始报数 和 出圈</span></span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=comment>// 当队列中只剩下一个人的时候，跳出循环，因为最后一个必然是他自己出队列</span></span><br><span class=line>            <span class=keyword>if</span> (helper == first) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=comment>// 报数：每次报数 m-1</span></span><br><span class=line>            <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> <span class=number>0</span>; i &lt; countNum - <span class=number>1</span>; i++) &#123;</span><br><span class=line>                <span class=comment>// 因为 helper 永远在 first 后面，只要在 first 移动时，指向 first 原来所在的位置即可</span></span><br><span class=line>                helper = first;</span><br><span class=line>                first = first.next;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=comment>// 出圈</span></span><br><span class=line>            System.out.printf(<span class=string>&quot;The number of the child out of the circle %d \n&quot;</span>, first.no);</span><br><span class=line>            first = first.next; <span class=comment>// first 重置为下一次报数的小孩节点上</span></span><br><span class=line>            helper.next = first; <span class=comment>// helper 重置为下一次报数的小孩节点上</span></span><br><span class=line>        &#125;</span><br><span class=line>        System.out.printf(<span class=string>&quot;The number of the last child left %d \n&quot;</span>, first.no);</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line></span><br></pre></td></tr></table></figure><ol><li>测试用例</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure;</span><br><span class=line></span><br><span class=line><span class=keyword>import</span> org.junit.Test;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">JosepfuTest</span> &#123;</span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">addTest</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=type>CircleSingleLinkedList</span> <span class=variable>circleSingleLinkedList</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">CircleSingleLinkedList</span>();</span><br><span class=line>        circleSingleLinkedList.add(<span class=number>5</span>);</span><br><span class=line>        circleSingleLinkedList.print();</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">countBoy</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=type>CircleSingleLinkedList</span> <span class=variable>circleSingleLinkedList</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">CircleSingleLinkedList</span>();</span><br><span class=line>        circleSingleLinkedList.add(<span class=number>5</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;Build Circle Queue:&quot;</span>);</span><br><span class=line>        circleSingleLinkedList.print();</span><br><span class=line></span><br><span class=line>        <span class=comment>// 开始玩游戏</span></span><br><span class=line>        <span class=comment>// 正确的输出顺序为：2、4、1、5、3</span></span><br><span class=line>        circleSingleLinkedList.countBoy(<span class=number>1</span>, <span class=number>2</span>, <span class=number>5</span>);</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line></span><br></pre></td></tr></table></figure><ol><li>输出结果</li></ol><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br></pre></td><td class=code><pre><span class=line>Child number 1</span><br><span class=line>Child number 2</span><br><span class=line>Child number 3</span><br><span class=line>Child number 4</span><br><span class=line>Child number 5</span><br><span class=line></span><br><span class=line>Build Circle Queue:</span><br><span class=line>Child number 1</span><br><span class=line>Child number 2</span><br><span class=line>Child number 3</span><br><span class=line>Child number 4</span><br><span class=line>Child number 5</span><br><span class=line>Localize: 1</span><br><span class=line>Child number 1</span><br><span class=line>Child number 2</span><br><span class=line>Child number 3</span><br><span class=line>Child number 4</span><br><span class=line>Child number 5</span><br></pre></td></tr></table></figure></div></details></li></ol></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/40f24371/">http://refrain.cf/posts/40f24371/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" rel="external nofollow noreferrer" target=_blank>CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href=http://refrain.cf target=_blank>希亚的西红柿のBlog</a>！</span></div></div><div class=tag_share><div class=post-meta__tag-list><a class=post-meta__tags href="/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a><a class=post-meta__tags href="/tags/%E7%BA%BF%E6%80%A7%E8%A1%A8/">线性表</a></div><div class=post_share><div class=social-share data-image=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg data-sites=facebook,twitter,wechat,weibo,qq></div><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/butterfly-extsrc/sharejs/dist/css/share.min.css 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class=card-widget id=card-toc><div class=item-headline><i class="fas fa-stream"></i><span>目录</span><span class=toc-percentage></span></div><div class=toc-content><ol class=toc><li class="toc-item toc-level-2"><a class=toc-link href=#%E7%BA%BF%E6%80%A7%E8%A1%A8%E7%9A%84%E5%AE%9A%E4%B9%89><span class=toc-number>1.</span> <span class=toc-text>线性表的定义</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E7%BA%BF%E6%80%A7%E8%A1%A8%E7%9A%84%E9%80%BB%E8%BE%91%E7%BB%93%E6%9E%84><span class=toc-number>1.1.</span> <span class=toc-text>线性表的逻辑结构</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%8A%BD%E8%B1%A1%E6%95%B0%E6%8D%AE%E7%B1%BB%E5%9E%8B%E7%BA%BF%E6%80%A7%E8%A1%A8%E7%9A%84%E5%AE%9A%E4%B9%89><span class=toc-number>1.2.</span> <span class=toc-text>抽象数据类型线性表的定义</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E7%BA%BF%E6%80%A7%E8%A1%A8%E7%9A%84%E9%A1%BA%E5%BA%8F%E8%A1%A8%E7%A4%BA%EF%BC%88%E9%A1%BA%E5%BA%8F%E5%AD%98%E5%82%A8%E7%BB%93%E6%9E%84%EF%BC%89><span class=toc-number>2.</span> <span class=toc-text>线性表的顺序表示（顺序存储结构）</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E9%A1%BA%E5%BA%8F%E5%88%86%E9%85%8D><span class=toc-number>2.1.</span> <span class=toc-text>顺序分配</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%AF%BB%E5%9D%80%E5%85%AC%E5%BC%8F><span class=toc-number>2.2.</span> <span class=toc-text>寻址公式</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E9%A1%BA%E5%BA%8F%E5%82%A8%E5%AD%98%E7%BB%93%E6%9E%84%E7%9A%84%E8%AF%84%E4%BB%B7><span class=toc-number>2.3.</span> <span class=toc-text>顺序储存结构的评价</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E7%A8%80%E7%96%8F%E6%95%B0%E7%BB%84%E7%9A%84%E5%AE%9E%E7%8E%B0><span class=toc-number>2.4.</span> <span class=toc-text>稀疏数组的实现</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E7%BA%BF%E6%80%A7%E8%A1%A8%E7%9A%84%E9%93%BE%E5%BC%8F%E5%AD%98%E5%82%A8%E7%BB%93%E6%9E%84><span class=toc-number>3.</span> <span class=toc-text>线性表的链式存储结构</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%9F%BA%E6%9C%AC%E6%A6%82%E5%BF%B5><span class=toc-number>3.1.</span> <span class=toc-text>基本概念</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%8D%95%E9%93%BE%E8%A1%A8><span class=toc-number>3.2.</span> <span class=toc-text>单链表</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%8F%8C%E5%90%91%E9%93%BE%E8%A1%A8><span class=toc-number>3.3.</span> <span class=toc-text>双向链表</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%BE%AA%E7%8E%AF%E9%93%BE%E8%A1%A8><span class=toc-number>3.4.</span> <span class=toc-text>循环链表</span></a></li></ol></li></ol></div></div><div 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id=rightside><div id=rightside-config-hide><button id=readmode type=button title=阅读模式><i class="fas fa-book-open"></i></button><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button class=close id=mobile-toc-button type=button title=目录><i class="fas fa-list-ul"></i></button><a id=to_comment href=#post-comment title=直达评论><i class="fas fa-comments"></i></a><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script 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+  window.MathJax = {
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+    chtml: {
+      scale: 1.1
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+    options: {
+      renderActions: {
+        findScript: [10, doc => {
+          for (const node of document.querySelectorAll('script[type^="math/tex"]')) {
+            const display = !!node.type.match(/; *mode=display/)
+            const math = new doc.options.MathItem(node.textContent, doc.inputJax[0], display)
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+            doc.math.push(math)
+          }
+        }, '']
+      }
+    }
+  }
+  
+  const script = document.createElement('script')
+  script.src = 'https://cdn.jsdelivr.net/npm/mathjax/es5/tex-mml-chtml.min.js'
+  script.id = 'MathJax-script'
+  script.async = true
+  document.head.appendChild(script)
+} else {
+  MathJax.startup.document.state(0)
+  MathJax.texReset()
+  MathJax.typesetPromise()
+}</script><script>(()=>{
+  const init = () => {
+    twikoo.init(Object.assign({
+      el: '#twikoo-wrap',
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      onCommentLoaded: function () {
+        btf.loadLightbox(document.querySelectorAll('#twikoo .tk-content img:not(.tk-owo-emotion)'))
+      }
+    }, null))
+  }
+
+  const getCount = () => {
+    const countELement = document.getElementById('twikoo-count')
+    if(!countELement) return
+    twikoo.getCommentsCount({
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      urls: [window.location.pathname],
+      includeReply: false
+    }).then(function (res) {
+      countELement.textContent = res[0].count
+    }).catch(function (err) {
+      console.error(err);
+    });
+  }
+
+  const runFn = () => {
+    init()
+    
+  }
+
+  const loadTwikoo = () => {
+    if (typeof twikoo === 'object') {
+      setTimeout(runFn,0)
+      return
+    } 
+    getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runFn)
+  }
+
+  if ('Twikoo' === 'Twikoo' || !true) {
+    if (true) btf.loadComment(document.getElementById('twikoo-wrap'), loadTwikoo)
+    else loadTwikoo()
+  } else {
+    window.loadOtherComment = () => {
+      loadTwikoo()
+    }
+  }
+})()</script></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/posts/47341/index.html b/posts/47341/index.html
new file mode 100644
index 000000000..040eb456d
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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>关于cloudflare对网站搭建的使用</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2022-07-18T10:54:13.000Z title="发表于 2022-07-18 18:54:13">2022-07-18</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2022-07-18T10:54:13.000Z title="更新于 2022-07-18 18:54:13">2022-07-18</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/DNS/">DNS</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>260</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>1分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=关于cloudflare对网站搭建的使用><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><h2 id=为-hexo-博客添加自定义域名><a href=#为-hexo-博客添加自定义域名 class=headerlink title="为 hexo 博客添加自定义域名"></a>为 hexo 博客添加自定义域名</h2><blockquote><p>域名注册方面不做赘述，下面详细讲述利用 cloudflare 中 DNS 解析域名至 hexo 博客站的过程</p></blockquote><span id=more></span><h3 id=cloudflare-中域名的解析><a href=#cloudflare-中域名的解析 class=headerlink title="cloudflare 中域名的解析"></a>cloudflare 中域名的解析</h3><ol><li><strong>注册 cloudflare 账号</strong>(<em><del>过程比较简单就不放图了</del></em>，推荐使用 gmail 或者 outlook 邮箱)</li><li><strong>cloudflare 中添加站点</strong></li></ol><ul><li>注意此处添加的站点为你所购买的域名<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/addsite.png></li><li>添加站点<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/addsite1.png></li><li>注意你需要在域名管理网站中设置好对应的 nameserver, 每个人分配的服务器都不一样，<strong>记得到注册域名的网站修改为对应的 nameserver！！！</strong><br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/nameserver.png></li><li>填写 DNS 解析域名的地址<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/DNS.png></li></ul><h3 id=将域名添加到-github-中><a href=#将域名添加到-github-中 class=headerlink title="将域名添加到 github 中"></a>将域名添加到 github 中</h3><ol><li><strong>进入到 github 项目中的 settings 中的 pages 中</strong><br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/github1.png></li><li><strong>此时项目 main 分支里会出现 CNAME 文件，内容为你的域名</strong>(如 xxx.com)<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/github2.png><br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/github3.png></li><li><strong>最后在本地的博客文件夹中<code>hexo/source</code>文件夹下新建 CNAME 文件，内容也为你所拥有的域名</strong>、<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/vsc.png></li><li><strong>最后输入域名博客站就可以正常访问啦！</strong><br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/blog.png></li></ol></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/47341/">http://refrain.cf/posts/47341/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" 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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>Python实现决策树(Decision Tree)算法</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2022-08-07T06:13:25.000Z title="发表于 2022-08-07 14:13:25">2022-08-07</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2022-08-07T06:13:25.000Z title="更新于 2022-08-07 14:13:25">2022-08-07</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>2.1k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>8分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title="Python实现决策树(Decision Tree)算法"><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><h2 id=决策树算法基础原理分析><a href=#决策树算法基础原理分析 class=headerlink title=决策树算法基础原理分析></a>决策树算法基础原理分析</h2><h3 id=信息的不纯度-决定决策树分支的指标><a href=#信息的不纯度-决定决策树分支的指标 class=headerlink title=信息的不纯度(决定决策树分支的指标)></a>信息的不纯度(决定决策树分支的指标)</h3><blockquote><p><strong>不纯度</strong>是在决策树中<strong>衡量特征分裂优异性</strong>的最主要的指标，用于衡量样本在根据某一特征的分类标准分裂后，样本是否被正确分类的准确程度。</p></blockquote><p><em>主要有 3 种计算方式，分别对应了 3 类决策树：</em></p><div class=table-container><table><thead><tr><th style=text-align:center>决策树类别</th><th style=text-align:center>不纯度计算方式</th></tr></thead><tbody><tr><td style=text-align:center>ID3</td><td style=text-align:center>信息增益（Information Gain）</td></tr><tr><td style=text-align:center>C4.5</td><td style=text-align:center>信息增益率（Information Gain Ratio）</td></tr><tr><td style=text-align:center>CART</td><td style=text-align:center>基尼系数（Gini index）</td></tr></tbody></table></div><ul><li><p><strong>信息熵的计算</strong><br><em>信息熵的计算公式为：</em><br><center>$ H(D)=-\displaystyle\sum_{i=1}^n p_i log_2 p_i $</center><br>其中$ n $为样本D的类别数，$ p_i $为该样本所占样本总数的比例</p></li><li><p><strong>信息增益的计算</strong><br><em>信息增益的计算公式：</em><br><center>$ g(D,A)=H(D)-H(D|A) $</center><br>其中，$ H(D|A) $代表在以$ A $为标准分类后的所有样本的信息熵之和</p></li><li><p><strong>信息增益率</strong><br><em>信息增益率的计算公式：</em><br><center>$$ IGR=\frac{g(D,A)}{H(A)} $$</center><br>其中 $ H(A) $代表 $ A $</p></li><li><p><strong>基尼系数</strong><br><em>基尼系数的计算公式：</em><br><center>$ Gini(p)=\displaystyle\sum_{i=1}^n p_i (1-p_i) = 1 - \displaystyle\sum_{i=1}^n p_i ^2 $</center><br>其中$ n $为样本D的类别数，$ p_i $为该样本所占样本总数的比例<br>基尼系数值越小，表示该分类方法贡献的信息度越高，即不纯度越小</p></li></ul><h3 id=特征的最佳切分点><a href=#特征的最佳切分点 class=headerlink title=特征的最佳切分点></a>特征的最佳切分点</h3><p><em>特征的类型分为两种情况：</em></p><blockquote><ul><li>离散型变量</li><li>连续性变量</li></ul></blockquote><ol><li>对于离散型变量：<br>可分为二叉树与多叉树</li><li>对于连续性变量<ol><li>首先将样本的某一连续变量的值去重后按照升序进行排列</li><li>计算两两相邻的平均值</li><li>遍历，将的每一个点都作为该连续变量的切分点，并计算其分裂的不纯度，获得长度为 n − 1 的不纯度集</li><li>其中最大的不纯度，其切分点即为最佳切分点</li></ol></li><li>特征在决策树中决策的先后顺序<br>决策的先后顺序，即为根据不同变量进行分裂的顺序。在找出每个变量的最佳分裂点后，可以计算出以该点分裂所能获得的信息度（信息增益/信息增益率/基尼系数…等），以最大信息度的变量放在最前面进行分裂，最小的放在最后面分裂。这样就确定了在对样本进行区分的时候，越早分裂的样本能以最佳的区分方法进行划分。</li></ol><h3 id=ID3-C4-5-CART-对比说明><a href=#ID3-C4-5-CART-对比说明 class=headerlink title="ID3, C4.5, CART 对比说明"></a>ID3, C4.5, CART 对比说明</h3><div class=table-container><table><thead><tr><th style=text-align:center>类型</th><th style=text-align:center>特点</th><th style=text-align:center>劣势</th></tr></thead><tbody><tr><td style=text-align:center>ID3</td><td style=text-align:center>多叉树；特征只用一次；健壮性较好，能训练属性值有缺失的情况</td><td style=text-align:center>1.当特征取值类型较多时，信息增益会越大，容易造成过拟合；2. 只能用于分类；3. 只能处理离散变量；4. 对缺失值敏感</td></tr><tr><td style=text-align:center>C4.5</td><td style=text-align:center>多叉树；特征只用一次；使用信息增益比对特征值多的特征进行惩罚，减少过拟合；可以处理连续变量；可以处理缺失值</td><td style=text-align:center>处理连续值只是将其离散化，形成多个离散值</td></tr><tr><td style=text-align:center>CART</td><td style=text-align:center>二叉树；特征使用多次；可以用于回归任务</td><td style=text-align:center>-</td></tr></tbody></table></div><h2 id=决策树算法-python-代码实现><a href=#决策树算法-python-代码实现 class=headerlink title="决策树算法 python 代码实现"></a>决策树算法 python 代码实现</h2><h3 id=创建数据集><a href=#创建数据集 class=headerlink title=创建数据集></a>创建数据集</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">createDataSet</span>():</span><br><span class=line>  dataSet = [[<span class=number>1</span>, <span class=number>1</span>, <span class=string>&#x27;yes&#x27;</span>],</span><br><span class=line>             [<span class=number>1</span>, <span class=number>1</span>, <span class=string>&#x27;yes&#x27;</span>],</span><br><span class=line>             [<span class=number>1</span>, <span class=number>0</span>, <span class=string>&#x27;no&#x27;</span>],</span><br><span class=line>             [<span class=number>0</span>, <span class=number>1</span>, <span class=string>&#x27;no&#x27;</span>],</span><br><span class=line>             [<span class=number>0</span>, <span class=number>1</span>, <span class=string>&#x27;no&#x27;</span>]]</span><br><span class=line>  labels = [<span class=string>&#x27;no surfaceing&#x27;</span>, <span class=string>&#x27;flippers&#x27;</span>]</span><br><span class=line>  <span class=keyword>return</span> dataSet, labels</span><br></pre></td></tr></table></figure><h3 id=计算香农熵><a href=#计算香农熵 class=headerlink title=计算香农熵></a>计算香农熵</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br></pre></td><td class=code><pre><span class=line><span class=comment># 计算香农熵,分两步，第一步计算频率，第二部根据公式计算香农熵</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">calcShannonEnt</span>(<span class=params>dataSet</span>):</span><br><span class=line>  numEntries = <span class=built_in>len</span>(dataSet)</span><br><span class=line>  labelCounts = &#123;&#125;</span><br><span class=line>  <span class=keyword>for</span> feaVec <span class=keyword>in</span> dataSet:</span><br><span class=line>      currentLabel = feaVec[-<span class=number>1</span>]</span><br><span class=line>      <span class=keyword>if</span> currentLabel <span class=keyword>not</span> <span class=keyword>in</span> labelCounts:</span><br><span class=line>          labelCounts[currentLabel] = <span class=number>0</span></span><br><span class=line>      labelCounts[currentLabel] += <span class=number>1</span></span><br><span class=line>  shannonEnt = <span class=number>0.0</span></span><br><span class=line>  <span class=keyword>for</span> key <span class=keyword>in</span> labelCounts:</span><br><span class=line>      prob = <span class=built_in>float</span>(labelCounts[key]) / numEntries</span><br><span class=line>      shannonEnt -= prob * log(prob, <span class=number>2</span>)</span><br><span class=line>  <span class=keyword>return</span> shannonEnt</span><br></pre></td></tr></table></figure><h3 id=划分数据集><a href=#划分数据集 class=headerlink title=划分数据集></a>划分数据集</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br></pre></td><td class=code><pre><span class=line><span class=comment># 划分数据集，将满足X[aixs]==value的值都划分到一起，返回一个划分好的集合（不包括用来划分的aixs属性，因为不需要）</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">splitDataSet</span>(<span class=params>dataSet, axis, value</span>):</span><br><span class=line>  retDataSet = []</span><br><span class=line>  <span class=keyword>for</span> featVec <span class=keyword>in</span> dataSet:</span><br><span class=line>      <span class=keyword>if</span> featVec[axis] == value:</span><br><span class=line>          reducedFeatVec = featVec[:axis]</span><br><span class=line>          reducedFeatVec.extend(featVec[axis + <span class=number>1</span>:])</span><br><span class=line>          retDataSet.append(reducedFeatVec)</span><br><span class=line>  <span class=keyword>return</span> retDataSet</span><br></pre></td></tr></table></figure><h3 id=选择划分的最佳属性><a href=#选择划分的最佳属性 class=headerlink title=选择划分的最佳属性></a>选择划分的最佳属性</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br></pre></td><td class=code><pre><span class=line><span class=comment># 选择最好的属性进行划分，思路很简单就是对每个属性都划分下，看哪个好。这里使用到了一个set来选取列表中唯一的元素，这是一中很快的方法</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">chooseBestFeatureToSplit</span>(<span class=params>dataSet</span>):</span><br><span class=line>  numFeatures = <span class=built_in>len</span>(dataSet[<span class=number>0</span>]) - <span class=number>1</span>  <span class=comment># 因为数据集的最后一项是标签</span></span><br><span class=line>  baseEntropy = calcShannonEnt(dataSet)</span><br><span class=line>  bestInfoGain = <span class=number>0.0</span></span><br><span class=line>  bestFeature = -<span class=number>1</span></span><br><span class=line>  <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(numFeatures):</span><br><span class=line>      featList = [example[i] <span class=keyword>for</span> example <span class=keyword>in</span> dataSet]</span><br><span class=line>      uniqueVals = <span class=built_in>set</span>(featList)</span><br><span class=line>      newEntropy = <span class=number>0.0</span></span><br><span class=line>      <span class=keyword>for</span> value <span class=keyword>in</span> uniqueVals:</span><br><span class=line>          subDataSet = splitDataSet(dataSet, i, value)</span><br><span class=line>          prob = <span class=built_in>len</span>(subDataSet) / <span class=built_in>float</span>(<span class=built_in>len</span>(dataSet))</span><br><span class=line>          newEntropy += prob * calcShannonEnt(subDataSet)</span><br><span class=line>      infoGain = baseEntropy - newEntropy</span><br><span class=line>      <span class=keyword>if</span> infoGain &gt; bestInfoGain:</span><br><span class=line>          bestInfoGain = infoGain</span><br><span class=line>          bestFeature = i</span><br><span class=line>  <span class=keyword>return</span> bestFeature</span><br></pre></td></tr></table></figure><h3 id=采用多数表决的方式计算结点分类><a href=#采用多数表决的方式计算结点分类 class=headerlink title=采用多数表决的方式计算结点分类></a>采用多数表决的方式计算结点分类</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br></pre></td><td class=code><pre><span class=line><span class=comment># 因为我们递归构建决策树是根据属性的消耗进行计算的，所以可能会存在最后属性用完了，但是分类</span></span><br><span class=line><span class=comment># 还是没有算完，这时候就会采用多数表决的方式计算节点分类</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">majorityCnt</span>(<span class=params>classList</span>):</span><br><span class=line>  classCount = &#123;&#125;</span><br><span class=line>  <span class=keyword>for</span> vote <span class=keyword>in</span> classList:</span><br><span class=line>      <span class=keyword>if</span> vote <span class=keyword>not</span> <span class=keyword>in</span> classCount.keys():</span><br><span class=line>          classCount[vote] = <span class=number>0</span></span><br><span class=line>      classCount[vote] += <span class=number>1</span></span><br><span class=line>  <span class=keyword>return</span> <span class=built_in>max</span>(classCount)</span><br></pre></td></tr></table></figure><h3 id=基于递归构造决策树><a href=#基于递归构造决策树 class=headerlink title=基于递归构造决策树></a>基于递归构造决策树</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br></pre></td><td class=code><pre><span class=line><span class=comment># 基于递归构建决策树。这里的label更多是对于分类特征的名字，为了更好看和后面的理解。</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">createTree</span>(<span class=params>dataSet, labels</span>):</span><br><span class=line>  classList = [example[-<span class=number>1</span>] <span class=keyword>for</span> example <span class=keyword>in</span> dataSet]</span><br><span class=line>  <span class=keyword>if</span> classList.count(classList[<span class=number>0</span>]) == <span class=built_in>len</span>(classList):  <span class=comment># 类别相同则停止划分</span></span><br><span class=line>      <span class=keyword>return</span> classList[<span class=number>0</span>]</span><br><span class=line>  <span class=keyword>if</span> <span class=built_in>len</span>(dataSet[<span class=number>0</span>]) == <span class=number>1</span>:  <span class=comment># 所有特征已经用完</span></span><br><span class=line>      <span class=keyword>return</span> majorityCnt(classList)</span><br><span class=line>  bestFeat = chooseBestFeatureToSplit(dataSet)</span><br><span class=line>  bestFeatLabel = labels[bestFeat]</span><br><span class=line>  myTree = &#123;bestFeatLabel: &#123;&#125;&#125;</span><br><span class=line>  <span class=keyword>del</span> (labels[bestFeat])</span><br><span class=line>  featValues = [example[bestFeat] <span class=keyword>for</span> example <span class=keyword>in</span> dataSet]</span><br><span class=line>  uniqueVals = <span class=built_in>set</span>(featValues)</span><br><span class=line>  <span class=keyword>for</span> value <span class=keyword>in</span> uniqueVals:</span><br><span class=line>      subLabels = labels[:]  <span class=comment># 为了不改变原始列表的内容复制了一下</span></span><br><span class=line>      myTree[bestFeatLabel][value] = createTree(splitDataSet(dataSet, bestFeat, value), subLabels)</span><br><span class=line>  <span class=keyword>return</span> myTree</span><br></pre></td></tr></table></figure><h3 id=调用函数-构造主函数><a href=#调用函数-构造主函数 class=headerlink title="调用函数 构造主函数"></a>调用函数 构造主函数</h3><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">main</span>():</span><br><span class=line>  data, label = createDataSet()</span><br><span class=line>  <span class=comment># t1 = time.clock()</span></span><br><span class=line>  myTree = createTree(data, label)</span><br><span class=line>  <span class=comment># t2 = time.clock()</span></span><br><span class=line>  <span class=built_in>print</span>(myTree)</span><br><span class=line>  <span class=comment># print(&#x27;execute for &#x27;,t2-t1)</span></span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>if</span> __name__ == <span class=string>&#x27;__main__&#x27;</span>:</span><br><span class=line>  main()</span><br></pre></td></tr></table></figure><h2 id=完整源代码><a href=#完整源代码 class=headerlink title=完整源代码></a>完整源代码</h2><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br><span class=line>90</span><br><span class=line>91</span><br><span class=line>92</span><br><span class=line>93</span><br><span class=line>94</span><br><span class=line>95</span><br><span class=line>96</span><br><span class=line>97</span><br><span class=line>98</span><br><span class=line>99</span><br><span class=line>100</span><br><span class=line>101</span><br><span class=line>102</span><br><span class=line>103</span><br><span class=line>104</span><br><span class=line>105</span><br><span class=line>106</span><br><span class=line>107</span><br><span class=line>108</span><br><span class=line>109</span><br><span class=line>110</span><br></pre></td><td class=code><pre><span class=line><span class=comment>#!/user/bin/env python3</span></span><br><span class=line><span class=comment># -*- coding: utf-8 -*-</span></span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>import</span> operator</span><br><span class=line><span class=keyword>from</span> math <span class=keyword>import</span> log</span><br><span class=line><span class=keyword>import</span> time</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>def</span> <span class="title function_">createDataSet</span>():</span><br><span class=line>  dataSet = [[<span class=number>1</span>, <span class=number>1</span>, <span class=string>&#x27;yes&#x27;</span>],</span><br><span class=line>             [<span class=number>1</span>, <span class=number>1</span>, <span class=string>&#x27;yes&#x27;</span>],</span><br><span class=line>             [<span class=number>1</span>, <span class=number>0</span>, <span class=string>&#x27;no&#x27;</span>],</span><br><span class=line>             [<span class=number>0</span>, <span class=number>1</span>, <span class=string>&#x27;no&#x27;</span>],</span><br><span class=line>             [<span class=number>0</span>, <span class=number>1</span>, <span class=string>&#x27;no&#x27;</span>]]</span><br><span class=line>  labels = [<span class=string>&#x27;no surfaceing&#x27;</span>, <span class=string>&#x27;flippers&#x27;</span>]</span><br><span class=line>  <span class=keyword>return</span> dataSet, labels</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=comment># 计算香农熵,分两步，第一步计算频率，第二部根据公式计算香农熵</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">calcShannonEnt</span>(<span class=params>dataSet</span>):</span><br><span class=line>  numEntries = <span class=built_in>len</span>(dataSet)</span><br><span class=line>  labelCounts = &#123;&#125;</span><br><span class=line>  <span class=keyword>for</span> feaVec <span class=keyword>in</span> dataSet:</span><br><span class=line>      currentLabel = feaVec[-<span class=number>1</span>]</span><br><span class=line>      <span class=keyword>if</span> currentLabel <span class=keyword>not</span> <span class=keyword>in</span> labelCounts:</span><br><span class=line>          labelCounts[currentLabel] = <span class=number>0</span></span><br><span class=line>      labelCounts[currentLabel] += <span class=number>1</span></span><br><span class=line>  shannonEnt = <span class=number>0.0</span></span><br><span class=line>  <span class=keyword>for</span> key <span class=keyword>in</span> labelCounts:</span><br><span class=line>      prob = <span class=built_in>float</span>(labelCounts[key]) / numEntries</span><br><span class=line>      shannonEnt -= prob * log(prob, <span class=number>2</span>)</span><br><span class=line>  <span class=keyword>return</span> shannonEnt</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=comment># 划分数据集，将满足X[aixs]==value的值都划分到一起，返回一个划分好的集合（不包括用来划分的aixs属性，因为不需要）</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">splitDataSet</span>(<span class=params>dataSet, axis, value</span>):</span><br><span class=line>  retDataSet = []</span><br><span class=line>  <span class=keyword>for</span> featVec <span class=keyword>in</span> dataSet:</span><br><span class=line>      <span class=keyword>if</span> featVec[axis] == value:</span><br><span class=line>          reducedFeatVec = featVec[:axis]</span><br><span class=line>          reducedFeatVec.extend(featVec[axis + <span class=number>1</span>:])</span><br><span class=line>          retDataSet.append(reducedFeatVec)</span><br><span class=line>  <span class=keyword>return</span> retDataSet</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=comment># 选择最好的属性进行划分，思路很简单就是对每个属性都划分下，看哪个好。这里使用到了一个set来选取列表中唯一的元素，这是一中很快的方法</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">chooseBestFeatureToSplit</span>(<span class=params>dataSet</span>):</span><br><span class=line>  numFeatures = <span class=built_in>len</span>(dataSet[<span class=number>0</span>]) - <span class=number>1</span>  <span class=comment># 因为数据集的最后一项是标签</span></span><br><span class=line>  baseEntropy = calcShannonEnt(dataSet)</span><br><span class=line>  bestInfoGain = <span class=number>0.0</span></span><br><span class=line>  bestFeature = -<span class=number>1</span></span><br><span class=line>  <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(numFeatures):</span><br><span class=line>      featList = [example[i] <span class=keyword>for</span> example <span class=keyword>in</span> dataSet]</span><br><span class=line>      uniqueVals = <span class=built_in>set</span>(featList)</span><br><span class=line>      newEntropy = <span class=number>0.0</span></span><br><span class=line>      <span class=keyword>for</span> value <span class=keyword>in</span> uniqueVals:</span><br><span class=line>          subDataSet = splitDataSet(dataSet, i, value)</span><br><span class=line>          prob = <span class=built_in>len</span>(subDataSet) / <span class=built_in>float</span>(<span class=built_in>len</span>(dataSet))</span><br><span class=line>          newEntropy += prob * calcShannonEnt(subDataSet)</span><br><span class=line>      infoGain = baseEntropy - newEntropy</span><br><span class=line>      <span class=keyword>if</span> infoGain &gt; bestInfoGain:</span><br><span class=line>          bestInfoGain = infoGain</span><br><span class=line>          bestFeature = i</span><br><span class=line>  <span class=keyword>return</span> bestFeature</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=comment># 因为我们递归构建决策树是根据属性的消耗进行计算的，所以可能会存在最后属性用完了，但是分类</span></span><br><span class=line><span class=comment># 还是没有算完，这时候就会采用多数表决的方式计算节点分类</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">majorityCnt</span>(<span class=params>classList</span>):</span><br><span class=line>  classCount = &#123;&#125;</span><br><span class=line>  <span class=keyword>for</span> vote <span class=keyword>in</span> classList:</span><br><span class=line>      <span class=keyword>if</span> vote <span class=keyword>not</span> <span class=keyword>in</span> classCount.keys():</span><br><span class=line>          classCount[vote] = <span class=number>0</span></span><br><span class=line>      classCount[vote] += <span class=number>1</span></span><br><span class=line>  <span class=keyword>return</span> <span class=built_in>max</span>(classCount)</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=comment># 基于递归构建决策树。这里的label更多是对于分类特征的名字，为了更好看和后面的理解。</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">createTree</span>(<span class=params>dataSet, labels</span>):</span><br><span class=line>  classList = [example[-<span class=number>1</span>] <span class=keyword>for</span> example <span class=keyword>in</span> dataSet]</span><br><span class=line>  <span class=keyword>if</span> classList.count(classList[<span class=number>0</span>]) == <span class=built_in>len</span>(classList):  <span class=comment># 类别相同则停止划分</span></span><br><span class=line>      <span class=keyword>return</span> classList[<span class=number>0</span>]</span><br><span class=line>  <span class=keyword>if</span> <span class=built_in>len</span>(dataSet[<span class=number>0</span>]) == <span class=number>1</span>:  <span class=comment># 所有特征已经用完</span></span><br><span class=line>      <span class=keyword>return</span> majorityCnt(classList)</span><br><span class=line>  bestFeat = chooseBestFeatureToSplit(dataSet)</span><br><span class=line>  bestFeatLabel = labels[bestFeat]</span><br><span class=line>  myTree = &#123;bestFeatLabel: &#123;&#125;&#125;</span><br><span class=line>  <span class=keyword>del</span> (labels[bestFeat])</span><br><span class=line>  featValues = [example[bestFeat] <span class=keyword>for</span> example <span class=keyword>in</span> dataSet]</span><br><span class=line>  uniqueVals = <span class=built_in>set</span>(featValues)</span><br><span class=line>  <span class=keyword>for</span> value <span class=keyword>in</span> uniqueVals:</span><br><span class=line>      subLabels = labels[:]  <span class=comment># 为了不改变原始列表的内容复制了一下</span></span><br><span class=line>      myTree[bestFeatLabel][value] = createTree(splitDataSet(dataSet,</span><br><span class=line>                                                             bestFeat, value), subLabels)</span><br><span class=line>  <span class=keyword>return</span> myTree</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>def</span> <span class="title function_">main</span>():</span><br><span class=line>  data, label = createDataSet()</span><br><span class=line>  <span class=comment># t1 = time.clock()</span></span><br><span class=line>  myTree = createTree(data, label)</span><br><span class=line>  <span class=comment># t2 = time.clock()</span></span><br><span class=line>  <span class=built_in>print</span>(myTree)</span><br><span class=line>  <span class=comment># print(&#x27;execute for &#x27;,t2-t1)</span></span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>if</span> __name__ == <span class=string>&#x27;__main__&#x27;</span>:</span><br><span class=line>  main()</span><br><span class=line></span><br></pre></td></tr></table></figure><blockquote><p>本文源代码参考自 <a target=_blank rel="noopener external nofollow noreferrer" href=https://blog.csdn.net/weixin_43580130/article/details/107835171>机器学习——决策树 (Decision Tree)算法原理及 python 实现</a>与<a target=_blank rel="noopener external nofollow noreferrer" href=https://blog.csdn.net/weixin_41578567/article/details/104985366>python 决策树算法原理及基于 numpy 的代码实现</a></p></blockquote></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/54c08517/">http://refrain.cf/posts/54c08517/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" rel="external nofollow noreferrer" target=_blank>CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href=http://refrain.cf target=_blank>希亚的西红柿のBlog</a>！</span></div></div><div class=tag_share><div class=post-meta__tag-list><a class=post-meta__tags href="/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a><a class=post-meta__tags href="/tags/python/">python</a><a class=post-meta__tags href="/tags/%E5%86%B3%E7%AD%96%E6%A0%91/">决策树</a></div><div class=post_share><div class=social-share data-image=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/20230922210828.png data-sites=facebook,twitter,wechat,weibo,qq></div><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/butterfly-extsrc/sharejs/dist/css/share.min.css 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class=date><i class="far fa-calendar-alt fa-fw"></i> 2022-08-20</div><div class=title>机器学习基本概念与知识</div></div></a></div></div></div><hr class=custom-hr><div id=post-comment><div class=comment-head><div class=comment-headline><i class="fas fa-comments fa-fw"></i><span>评论</span></div></div><div class=comment-wrap><div><div id=twikoo-wrap></div></div></div></div></div><div class=aside-content id=aside-content><div class="card-widget card-info"><div class=is-center><div class=avatar-img><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png onerror="this.onerror=null;this.src='/img/friend_404.gif'" alt=avatar></div><div class=author-info__name>希亚的西红柿</div><div class=author-info__description>个人博客</div></div><div class="card-info-data site-data is-center"><a href="/archives/"><div class=headline>文章</div><div class=length-num>13</div></a><a href="/tags/"><div class=headline>标签</div><div class=length-num>23</div></a><a href="/categories/"><div class=headline>分类</div><div class=length-num>5</div></a></div><a id=card-info-btn target=_blank rel="noopener external nofollow noreferrer" href=https://github.com/nova1751><i class="fab fa-github"></i><span>Follow Me</span></a><div class="card-info-social-icons is-center"><a class=social-icon href=mailto:nova2319427728@outlook.com rel="external nofollow noreferrer" target=_blank title=Email><i class="fas fa-envelope"></i></a><a class=social-icon href=https://space.bilibili.com/325854600 rel="external nofollow noreferrer" target=_blank title=Bilibili><i class="fab fa-bilibili"></i></a><a class=social-icon href=https://t.me/nova1751 rel="external nofollow noreferrer" target=_blank title=Telegram><i class="fab fa-telegram"></i></a><a class=social-icon href=https://refrain.cf/atom.xml target=_blank title=RSS><i class="fas fa-rss"></i></a></div></div><div class="card-widget card-announcement"><div class=item-headline><i class="fas fa-bullhorn fa-shake"></i><span>公告</span></div><div class=announcement_content>This is my Blog</div></div><div class=sticky_layout><div class=card-widget id=card-toc><div class=item-headline><i class="fas fa-stream"></i><span>目录</span><span class=toc-percentage></span></div><div class=toc-content><ol class=toc><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%86%B3%E7%AD%96%E6%A0%91%E7%AE%97%E6%B3%95%E5%9F%BA%E7%A1%80%E5%8E%9F%E7%90%86%E5%88%86%E6%9E%90><span class=toc-number>1.</span> <span class=toc-text>决策树算法基础原理分析</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E4%BF%A1%E6%81%AF%E7%9A%84%E4%B8%8D%E7%BA%AF%E5%BA%A6-%E5%86%B3%E5%AE%9A%E5%86%B3%E7%AD%96%E6%A0%91%E5%88%86%E6%94%AF%E7%9A%84%E6%8C%87%E6%A0%87><span class=toc-number>1.1.</span> <span class=toc-text>信息的不纯度(决定决策树分支的指标)</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E7%89%B9%E5%BE%81%E7%9A%84%E6%9C%80%E4%BD%B3%E5%88%87%E5%88%86%E7%82%B9><span class=toc-number>1.2.</span> <span class=toc-text>特征的最佳切分点</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#ID3-C4-5-CART-%E5%AF%B9%E6%AF%94%E8%AF%B4%E6%98%8E><span class=toc-number>1.3.</span> <span class=toc-text>ID3, C4.5, CART 对比说明</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%86%B3%E7%AD%96%E6%A0%91%E7%AE%97%E6%B3%95-python-%E4%BB%A3%E7%A0%81%E5%AE%9E%E7%8E%B0><span class=toc-number>2.</span> <span class=toc-text>决策树算法 python 代码实现</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%88%9B%E5%BB%BA%E6%95%B0%E6%8D%AE%E9%9B%86><span class=toc-number>2.1.</span> <span class=toc-text>创建数据集</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E8%AE%A1%E7%AE%97%E9%A6%99%E5%86%9C%E7%86%B5><span class=toc-number>2.2.</span> <span class=toc-text>计算香农熵</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%88%92%E5%88%86%E6%95%B0%E6%8D%AE%E9%9B%86><span class=toc-number>2.3.</span> <span class=toc-text>划分数据集</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E9%80%89%E6%8B%A9%E5%88%92%E5%88%86%E7%9A%84%E6%9C%80%E4%BD%B3%E5%B1%9E%E6%80%A7><span class=toc-number>2.4.</span> <span class=toc-text>选择划分的最佳属性</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E9%87%87%E7%94%A8%E5%A4%9A%E6%95%B0%E8%A1%A8%E5%86%B3%E7%9A%84%E6%96%B9%E5%BC%8F%E8%AE%A1%E7%AE%97%E7%BB%93%E7%82%B9%E5%88%86%E7%B1%BB><span class=toc-number>2.5.</span> <span class=toc-text>采用多数表决的方式计算结点分类</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%9F%BA%E4%BA%8E%E9%80%92%E5%BD%92%E6%9E%84%E9%80%A0%E5%86%B3%E7%AD%96%E6%A0%91><span class=toc-number>2.6.</span> <span class=toc-text>基于递归构造决策树</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E8%B0%83%E7%94%A8%E5%87%BD%E6%95%B0-%E6%9E%84%E9%80%A0%E4%B8%BB%E5%87%BD%E6%95%B0><span class=toc-number>2.7.</span> <span class=toc-text>调用函数 构造主函数</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%AE%8C%E6%95%B4%E6%BA%90%E4%BB%A3%E7%A0%81><span class=toc-number>3.</span> <span class=toc-text>完整源代码</span></a></li></ol></div></div><div class="card-widget card-recent-post"><div class=item-headline><i class="fas fa-history"></i><span>最新文章</span></div><div class=aside-list><div class=aside-list-item><a class=thumbnail href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230304182253.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=Windows/Ubuntu双系统安装教程></a><div class=content><a class=title href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程>Windows/Ubuntu双系统安装教程</a><time datetime=2023-03-04T09:52:55.000Z title="发表于 2023-03-04 17:52:55">2023-03-04</time></div></div><div 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diff --git a/posts/6534ce06/index.html b/posts/6534ce06/index.html
new file mode 100644
index 000000000..6852a01b3
--- /dev/null
+++ b/posts/6534ce06/index.html
@@ -0,0 +1,435 @@
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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>栈与队列</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2022-12-31T06:18:56.000Z title="发表于 2022-12-31 14:18:56">2022-12-31</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2023-01-09T06:18:56.000Z title="更新于 2023-01-09 14:18:56">2023-01-09</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>6.8k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>28分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=栈与队列><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><div class="tip home"><p>本篇文章将详细讲述数据结构 <strong><span class="p red">栈与队列</span></strong> 章节的内容。</p></div><div class="tip info"><p>本教程编程语言采用 <strong><span class="p yellow">JAVA</span></strong> ,文章框架参考自 <strong><span class="p yellow">HUST数据结构PPT</span></strong> ,源码内容参考自 <strong><a target=_blank rel="noopener external nofollow noreferrer" href="https://www.bilibili.com/video/BV1E4411H73v/?spm_id_from=333.999.0.0&amp;vd_source=aca6967773d9edcf25495f454e05197c">尚硅谷 JAVA 数据结构教程</a></strong> 。</p></div><div class="tip key"><p>栈与队列章节部分概念方面比较简单，重点将放在具体的代码实现过程中。</p></div><h2 id=栈的定义与操作><a href=#栈的定义与操作 class=headerlink title=栈的定义与操作></a>栈的定义与操作</h2><h3 id=定义与术语><a href=#定义与术语 class=headerlink title=定义与术语></a>定义与术语</h3><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20221231144412.png></p><h3 id=栈的基本操作><a href=#栈的基本操作 class=headerlink title=栈的基本操作></a>栈的基本操作</h3><ol><li><code>Initstack(s)</code> // 置 s 为空栈</li><li><code>Push(s,e)</code> // 元素 e 进栈 s</li><li><code>Pop(s,e</code> // 元素 e 出栈 s</li><li><code>Gettop(s,e)</code> // 顶元素拷贝到 e</li><li><code>Empty(s)</code> // 判断是否为空栈</li></ol><div class="note info flat"><p><strong>栈的应用场景：</strong></p><ul><li>子程序的调用:<br>在跳往子程序前，会先将<strong>下个指令的地址</strong>存到堆栈中，直到子程序执行完后再<strong>将地址取出</strong>，以<strong>回到原来的程序中</strong>。<br>如方法中调用方法。</li><li>处理递归调用:<br>和子程序调用类似，只是除了存储下一个指令的地址外，也将参数、区域变量等数据存入堆栈中。</li><li>表达式的转换（中缀表达式转后缀表达式）与求值（实际解决）</li><li>二叉树的遍历</li><li>图形的深度优先（depth-first）搜索法</li></ul></div><h3 id=栈的存储表示和操作实现><a href=#栈的存储表示和操作实现 class=headerlink title=栈的存储表示和操作实现></a>栈的存储表示和操作实现</h3><span class="p center h4">顺序栈（用数组来模拟栈）</span><ol><li><p>实现思路</p><ol><li>定义一个数组，来模拟栈。</li><li>定义一个<code>top</code>变量表示栈顶，初始化为<code>-1</code>。</li><li>入栈：<code>stack[++top] = data</code></li><li>出栈：<code>return stack[top--]</code></li></ol></li><li><p>代码实现</p><details class=folding-tag green><summary>查看代码实现</summary><div class=content><ol><li>编写<code>ArrayStack</code>类</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.Stack;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">ArrayStack</span> &#123;</span><br><span class=line>    <span class=comment>// 定义三个基本属性，堆栈，堆栈的大小，栈顶元素</span></span><br><span class=line>    <span class=type>int</span>[] stack;</span><br><span class=line>    <span class=type>int</span> maxSize;</span><br><span class=line>    <span class=type>int</span> <span class=variable>top</span> <span class=operator>=</span> -<span class=number>1</span>;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 构造函数书写</span></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">ArrayStack</span><span class=params>(<span class=type>int</span> maxSize)</span> &#123;</span><br><span class=line>        <span class=built_in>this</span>.maxSize = maxSize;</span><br><span class=line>        stack = <span class=keyword>new</span> <span class="title class_">int</span>[maxSize];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 判断堆栈是否已满，判断top是否到了最后一个元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>boolean</span> <span class="title function_">isFull</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> top == maxSize - <span class=number>1</span>;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 判断堆栈是否为空，即判断top的值是否等于-1</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>boolean</span> <span class="title function_">isEmpty</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> top == -<span class=number>1</span>;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 入栈函数书写，先判断是否为满再入栈</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">push</span><span class=params>(<span class=type>int</span> element)</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isFull()) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;Stack full!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        stack[++top] = element;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 出栈函数书写，先判断是否为空再出栈</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">pop</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;No data in stack!&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> stack[top--];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 打印栈中元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">print</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;No data in stack!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> top; i &gt;= <span class=number>0</span>; i--) &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;index=%d value=%d \n&quot;</span>, i, stack[i]);</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><ol><li>编写测试函数</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.Stack;</span><br><span class=line></span><br><span class=line><span class=keyword>import</span> org.junit.Test;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">ArrayStackTest</span> &#123;</span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">pushTest</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=type>ArrayStack</span> <span class=variable>stack</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">ArrayStack</span>(<span class=number>4</span>);</span><br><span class=line>        stack.push(<span class=number>1</span>);</span><br><span class=line>        stack.push(<span class=number>2</span>);</span><br><span class=line>        stack.push(<span class=number>3</span>);</span><br><span class=line>        stack.push(<span class=number>4</span>);</span><br><span class=line>        stack.print();</span><br><span class=line>        stack.push(<span class=number>5</span>);</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">popTest</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=type>ArrayStack</span> <span class=variable>stack</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">ArrayStack</span>(<span class=number>4</span>);</span><br><span class=line>        stack.push(<span class=number>1</span>);</span><br><span class=line>        stack.push(<span class=number>2</span>);</span><br><span class=line>        stack.print();</span><br><span class=line>        System.out.println(<span class=string>&quot;pop data:&quot;</span> + stack.pop());</span><br><span class=line>        stack.print();</span><br><span class=line>        System.out.println(<span class=string>&quot;pop data:&quot;</span> + stack.pop());</span><br><span class=line>        stack.print();</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><ol><li>测试结果</li></ol><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br></pre></td><td class=code><pre><span class=line>pushTest:</span><br><span class=line>index=3 value=4</span><br><span class=line>index=2 value=3</span><br><span class=line>index=1 value=2</span><br><span class=line>index=0 value=1</span><br><span class=line>Stack full!</span><br><span class=line></span><br><span class=line>popTest:</span><br><span class=line>index=1 value=2</span><br><span class=line>index=0 value=1</span><br><span class=line>pop data:2</span><br><span class=line>index=0 value=1</span><br><span class=line>pop data:1</span><br><span class=line>No data in stack!</span><br></pre></td></tr></table></figure></div></details></li></ol><span class="p center h4">链式栈（用链表来模拟栈）</span><ol><li>实现思路</li><li>定义一个链表来模拟栈，成员变量有：<ul><li>最大存储量: <code>maxSize</code></li><li>栈中元素个数: <code>size</code></li><li>栈顶元素（同时作为表头）: <code>top</code></li></ul></li><li>入栈:<br><code>Node temp = top;</code><br><code>top = new Node(value);</code><br><code>top.next = temp;</code><br><code>size++;</code></li><li>出栈<br><code>Node temp = top;</code><br><code>top = top.next</code><br><code>size--;</code><br><code>return temp.value;</code></li><li>代码实现<details class=folding-tag green><summary>查看代码实现</summary><div class=content><ol><li>编写<code>LinkedListStack</code>类</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.Stack;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">LinkedListStack</span> &#123;</span><br><span class=line>    <span class=comment>// 构造三个基本属性</span></span><br><span class=line>    <span class=type>int</span> maxSize; <span class=comment>// 栈中最多的元素</span></span><br><span class=line>    <span class=type>int</span> size; <span class=comment>// 栈中现在具有的元素</span></span><br><span class=line>    Node top; <span class=comment>// 栈顶的元素</span></span><br><span class=line></span><br><span class=line>    <span class=comment>// 构造函数</span></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">LinkedListStack</span><span class=params>(<span class=type>int</span> maxSize)</span> &#123;</span><br><span class=line>        <span class=built_in>this</span>.maxSize = maxSize;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 判断栈是否为满的元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>boolean</span> <span class="title function_">isFull</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> size == maxSize;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 判断栈是否为空的元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>boolean</span> <span class="title function_">isEmpty</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> size == <span class=number>0</span>;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 入栈函数，先判断是否为满，再将元素添加到链表的表头</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">push</span><span class=params>(<span class=type>int</span> value)</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isFull()) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;Stack full!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=comment>// 储存top元素</span></span><br><span class=line>        <span class=type>Node</span> <span class=variable>temp</span> <span class=operator>=</span> top;</span><br><span class=line>        <span class=comment>// 更新top节点</span></span><br><span class=line>        top = <span class=keyword>new</span> <span class="title class_">Node</span>(value);</span><br><span class=line>        <span class=comment>// 指向前一top节点</span></span><br><span class=line>        top.next = temp;</span><br><span class=line>        <span class=comment>// 储存元素个数自增</span></span><br><span class=line>        size++;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 出栈函数书写</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">pop</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;Stack empty!&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>Node</span> <span class=variable>temp</span> <span class=operator>=</span> top;</span><br><span class=line>        top = top.next; <span class=comment>// 注意已经存在的变量加上int会新创建变量</span></span><br><span class=line>        size--;</span><br><span class=line>        <span class=keyword>return</span> temp.value;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 显示栈中的元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">print</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;Stack empty!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>Node</span> <span class=variable>cur</span> <span class=operator>=</span> top;</span><br><span class=line>        <span class=keyword>while</span> (cur != <span class=literal>null</span>) &#123;</span><br><span class=line>            System.out.println(cur);</span><br><span class=line>            cur = cur.next;</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=keyword>class</span> <span class="title class_">Node</span> &#123;</span><br><span class=line>    <span class=comment>// 定义节点的两个基本属性</span></span><br><span class=line>    <span class=type>int</span> value;</span><br><span class=line>    Node next;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 书写构造函数</span></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">Node</span><span class=params>(<span class=type>int</span> value)</span> &#123;</span><br><span class=line>        <span class=built_in>this</span>.value = value;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 重写toString函数</span></span><br><span class=line>    <span class=meta>@Override</span></span><br><span class=line>    <span class=keyword>public</span> String <span class="title function_">toString</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> <span class=string>&quot;Node&#123;&quot;</span> +</span><br><span class=line>                <span class=string>&quot;value=&quot;</span> + value +</span><br><span class=line>                <span class=string>&#x27;&#125;&#x27;</span>;</span><br><span class=line></span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><ol><li>编写测试函数</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.Stack;</span><br><span class=line></span><br><span class=line><span class=keyword>import</span> org.junit.Test;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">LinkedListStackTest</span> &#123;</span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">pushTest</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=type>LinkedListStack</span> <span class=variable>stack</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">LinkedListStack</span>(<span class=number>4</span>);</span><br><span class=line>        stack.push(<span class=number>1</span>);</span><br><span class=line>        stack.push(<span class=number>2</span>);</span><br><span class=line>        stack.push(<span class=number>3</span>);</span><br><span class=line>        stack.push(<span class=number>4</span>);</span><br><span class=line>        stack.print();</span><br><span class=line>        stack.push(<span class=number>5</span>);</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=meta>@Test</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">popTest</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=type>LinkedListStack</span> <span class=variable>stack</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">LinkedListStack</span>(<span class=number>4</span>);</span><br><span class=line>        stack.push(<span class=number>1</span>);</span><br><span class=line>        stack.push(<span class=number>2</span>);</span><br><span class=line>        stack.print();</span><br><span class=line>        System.out.println(<span class=string>&quot;pop data:&quot;</span> + stack.pop());</span><br><span class=line>        stack.print();</span><br><span class=line>        System.out.println(<span class=string>&quot;pop data:&quot;</span> + stack.pop());</span><br><span class=line>        stack.print();</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line></span><br></pre></td></tr></table></figure><ol><li>测试结果</li></ol><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br></pre></td><td class=code><pre><span class=line>pushTest；</span><br><span class=line>Node&#123;value=4&#125;</span><br><span class=line>Node&#123;value=3&#125;</span><br><span class=line>Node&#123;value=2&#125;</span><br><span class=line>Node&#123;value=1&#125;</span><br><span class=line>Stack full!</span><br><span class=line></span><br><span class=line>popTest；</span><br><span class=line>Node&#123;value=2&#125;</span><br><span class=line>Node&#123;value=1&#125;</span><br><span class=line>pop data:2</span><br><span class=line>Node&#123;value=1&#125;</span><br><span class=line>pop data:1</span><br><span class=line>Stack empty!</span><br></pre></td></tr></table></figure></div></details></li></ol><h2 id=栈的应用><a href=#栈的应用 class=headerlink title=栈的应用></a>栈的应用</h2><div class="note primary flat"><p>栈的一个十分经典的应用就是计算机如何计算表达式。</p></div><h3 id=中缀表达式><a href=#中缀表达式 class=headerlink title=中缀表达式></a>中缀表达式</h3><ol><li><p>基本概念<br>中缀表达式是一个通用的 <strong>算术</strong> 或 <strong>逻辑公式表示方法</strong> 。 <strong>操作符</strong> 是以 <strong>中缀形式</strong> 处于操作数的 <strong>中间</strong> （例： <strong>3 + 4</strong> ），中缀表达式是人们常用的算数表达方式。</p><div class="note flat info flat"><p>中缀表达式就是 常见的运算表达式，如 <code>(3+4)x5-6。</code><br>中缀表达式的求值是人类最熟悉的，但是对于计算机来说却不好操作：</p><ul><li>需要计算运算符的优先级</li><li>对于中括号来说，笔者想不出实现办法<br>因此，在计算结果时，往往会将 中缀表达式 转成其他表达式，一般转成后缀表达式。</li></ul></div></li><li><p>思路分析<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20230102111922.png></p></li><li>代码实现<div class="note success flat"><p>如上图，代码实现的基本思路为：</p><ol><li>先扫描字符串，可以通过一个 <strong>index</strong> 变量来辅助扫描。</li><li>如果发现是一个 <strong>数字</strong> ，直接入栈。</li><li>如果发现是一个 <strong>操作符</strong> ，分一下情况：<ol><li>当 <strong>当前操作符</strong> 的优先级 <strong>大于栈顶符号</strong> ：将 <strong>当前操作符</strong> 入符号栈。</li><li>当 <strong>当前操作符</strong> 的优先级 <strong>小于或等于栈顶符号</strong> ：<ol><li>弹出数栈中的 <strong>2</strong> 个数值。</li><li>弹出符号栈顶的元素。</li><li><strong>2</strong> 个数字与符号进行运算。</li><li>将计算结果压入数栈。</li><li>将当前操作符压入符号栈。</li></ol></li></ol></li><li>当扫描完毕时：<ol><li>顺序地从数栈中弹出 <strong>2</strong> 个数。</li><li>从符号栈中弹出 <strong>1</strong> 个操作符。</li><li>将他们进行计算，然后把计算结果压入数栈中。</li></ol></li><li>最后数栈中只会存在一个数值，那就是计算结果。</li></ol></div><details class=folding-tag green><summary>查看代码实现</summary><div class=content><ol><li>使用前面实现的数组栈来做我们的容器，只增加了一个查看栈顶元素的<code>peek()</code>方法。</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.Stack;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">ArrayStack</span> &#123;</span><br><span class=line>    <span class=comment>// 定义三个基本属性，堆栈，堆栈的大小，栈顶元素</span></span><br><span class=line>    <span class=type>int</span>[] stack;</span><br><span class=line>    <span class=type>int</span> maxSize;</span><br><span class=line>    <span class=type>int</span> <span class=variable>top</span> <span class=operator>=</span> -<span class=number>1</span>;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 构造函数书写</span></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">ArrayStack</span><span class=params>(<span class=type>int</span> maxSize)</span> &#123;</span><br><span class=line>        <span class=built_in>this</span>.maxSize = maxSize;</span><br><span class=line>        stack = <span class=keyword>new</span> <span class="title class_">int</span>[maxSize];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 判断堆栈是否已满，判断top是否到了最后一个元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>boolean</span> <span class="title function_">isFull</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> top == maxSize - <span class=number>1</span>;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 判断堆栈是否为空，即判断top的值是否等于-1</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>boolean</span> <span class="title function_">isEmpty</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> top == -<span class=number>1</span>;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 入栈函数书写，先判断是否为满再入栈</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">push</span><span class=params>(<span class=type>int</span> element)</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isFull()) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;Stack full!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        stack[++top] = element;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 出栈函数书写，先判断是否为空再出栈</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">pop</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;No data in stack!&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> stack[top--];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 打印栈中元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">print</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;No data in stack!&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> top; i &gt;= <span class=number>0</span>; i--) &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;index=%d value=%d \n&quot;</span>, i, stack[i]);</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 添加显示栈顶元素的方法</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">peek</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;Stack empty!&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> stack[top];</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><ol><li>计算器代码实现</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br><span class=line>90</span><br><span class=line>91</span><br><span class=line>92</span><br><span class=line>93</span><br><span class=line>94</span><br><span class=line>95</span><br><span class=line>96</span><br><span class=line>97</span><br><span class=line>98</span><br><span class=line>99</span><br><span class=line>100</span><br><span class=line>101</span><br><span class=line>102</span><br><span class=line>103</span><br><span class=line>104</span><br><span class=line>105</span><br><span class=line>106</span><br><span class=line>107</span><br><span class=line>108</span><br><span class=line>109</span><br><span class=line>110</span><br><span class=line>111</span><br><span class=line>112</span><br><span class=line>113</span><br><span class=line>114</span><br><span class=line>115</span><br><span class=line>116</span><br><span class=line>117</span><br><span class=line>118</span><br><span class=line>119</span><br><span class=line>120</span><br><span class=line>121</span><br><span class=line>122</span><br><span class=line>123</span><br><span class=line>124</span><br><span class=line>125</span><br><span class=line>126</span><br><span class=line>127</span><br><span class=line>128</span><br><span class=line>129</span><br><span class=line>130</span><br><span class=line>131</span><br><span class=line>132</span><br><span class=line>133</span><br><span class=line>134</span><br><span class=line>135</span><br><span class=line>136</span><br><span class=line>137</span><br><span class=line>138</span><br><span class=line>139</span><br><span class=line>140</span><br><span class=line>141</span><br><span class=line>142</span><br><span class=line>143</span><br><span class=line>144</span><br><span class=line>145</span><br><span class=line>146</span><br><span class=line>147</span><br><span class=line>148</span><br><span class=line>149</span><br><span class=line>150</span><br><span class=line>151</span><br><span class=line>152</span><br><span class=line>153</span><br><span class=line>154</span><br><span class=line>155</span><br><span class=line>156</span><br><span class=line>157</span><br><span class=line>158</span><br><span class=line>159</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.Stack;</span><br><span class=line></span><br><span class=line><span class=comment>/**</span></span><br><span class=line><span class=comment> * 计算器代码实现</span></span><br><span class=line><span class=comment> */</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">Calculator</span> &#123;</span><br><span class=line>    <span class=comment>// 使用前面章节实现过的 数组模拟栈，来当我们 计算器中用来存储数据和符号的 容器</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>ArrayStack</span> <span class=variable>numStack</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">ArrayStack</span>(<span class=number>10</span>); <span class=comment>// 数组栈</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>ArrayStack</span> <span class=variable>operStack</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">ArrayStack</span>(<span class=number>10</span>); <span class=comment>// 符号栈</span></span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        <span class=type>String</span> <span class=variable>expression</span> <span class=operator>=</span> <span class=string>&quot;30-2*4+2&quot;</span>;</span><br><span class=line></span><br><span class=line>        <span class=type>Calculator</span> <span class=variable>calculator</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Calculator</span>();</span><br><span class=line>        <span class=comment>// 扫描表达式</span></span><br><span class=line>        calculator.scan(expression);</span><br><span class=line>        <span class=comment>// 剩余数据进行计算</span></span><br><span class=line>        <span class=type>int</span> <span class=variable>res</span> <span class=operator>=</span> calculator.nextCal();</span><br><span class=line>        System.out.printf(<span class=string>&quot;%s = %d \n&quot;</span>, expression, res);</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">scan</span><span class=params>(String expression)</span> &#123;</span><br><span class=line>        <span class=type>int</span> <span class=variable>index</span> <span class=operator>=</span> <span class=number>0</span>;</span><br><span class=line>        <span class=type>String</span> <span class=variable>keepNum</span> <span class=operator>=</span> <span class=string>&quot;&quot;</span>; <span class=comment>// 用来保存数字，有可能是 = &quot;1&quot; 或则 &quot;123&quot; 的多位数</span></span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=keyword>if</span> (index == expression.length()) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=comment>// 每次只截取一个数字</span></span><br><span class=line>            <span class=comment>// 要注意这里的 ch，使用 ch 做运算的时候要小心</span></span><br><span class=line>            <span class=type>char</span> <span class=variable>ch</span> <span class=operator>=</span> expression.substring(index, ++index).charAt(<span class=number>0</span>);</span><br><span class=line>            <span class=keyword>if</span> (isOper(ch)) &#123;</span><br><span class=line>                subScan(ch);</span><br><span class=line>            &#125; <span class=keyword>else</span> &#123;</span><br><span class=line>                <span class=comment>// 是数字，直接入数栈</span></span><br><span class=line>                <span class=comment>// ch 被当成 int 的使用的话，需要特别注意</span></span><br><span class=line>                <span class=comment>// ASCII 码表中数字是从 48 开始的，这里的 ch 对应的数字是 ASCII 码表，所以要减掉 48</span></span><br><span class=line>                <span class=comment>// 当然也可以使用字符串解析的方式 Integer.valueOf(字符串) 来得到数字</span></span><br><span class=line>                <span class=comment>// numStack.push(ch - 48);</span></span><br><span class=line>                keepNum += ch;</span><br><span class=line>                <span class=comment>// 已经是末尾了，则直接入栈</span></span><br><span class=line>                <span class=keyword>if</span> (index == expression.length()) &#123;</span><br><span class=line>                    numStack.push(Integer.parseInt(keepNum));</span><br><span class=line>                    <span class=keyword>continue</span>;</span><br><span class=line>                &#125;</span><br><span class=line>                <span class=comment>// 需要往后多看一位,如果是符号，才能将当前的数入栈</span></span><br><span class=line>                <span class=type>char</span> <span class=variable>tempCh</span> <span class=operator>=</span> expression.substring(index, index + <span class=number>1</span>).charAt(<span class=number>0</span>);</span><br><span class=line>                <span class=keyword>if</span> (isOper(tempCh)) &#123;</span><br><span class=line>                    numStack.push(Integer.parseInt(keepNum));</span><br><span class=line>                    keepNum = <span class=string>&quot;&quot;</span>;</span><br><span class=line>                &#125;</span><br><span class=line>            &#125;</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">subScan</span><span class=params>(<span class=type>char</span> ch)</span> &#123;</span><br><span class=line>        <span class=comment>// 当 当前操作符 的优先级 大于 栈顶符号：将 当前操作符入符号栈</span></span><br><span class=line>        <span class=comment>// 一定要大于，如果是同级的话，有可能前面一个也是 * 号，需要先在第一步进行计算</span></span><br><span class=line>        <span class=keyword>if</span> (operStack.isEmpty() || priority(ch) &gt; priority((<span class=type>char</span>) operStack.peek())) &#123;</span><br><span class=line>            operStack.push(ch);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=comment>// 小于栈顶操作符，则将栈顶符号取出，进行计算</span></span><br><span class=line>        <span class=type>int</span> <span class=variable>num1</span> <span class=operator>=</span> numStack.pop();</span><br><span class=line>        <span class=type>int</span> <span class=variable>num2</span> <span class=operator>=</span> numStack.pop();</span><br><span class=line>        <span class=type>int</span> <span class=variable>oper</span> <span class=operator>=</span> operStack.pop();</span><br><span class=line>        <span class=type>int</span> <span class=variable>res</span> <span class=operator>=</span> cal(num1, num2, oper);</span><br><span class=line>        <span class=comment>// 将结果入数栈</span></span><br><span class=line>        numStack.push(res);</span><br><span class=line>        <span class=comment>// 递归调用</span></span><br><span class=line>        subScan(ch);</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 第 2 步：从栈中取出来数据和符号，然后计算</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span></span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> <span class="title function_">nextCal</span><span class=params>()</span> &#123;</span><br><span class=line>        System.out.println(<span class=string>&quot;符号栈中符号情况：&quot;</span>);</span><br><span class=line>        operStack.print();</span><br><span class=line>        <span class=keyword>while</span> (<span class=literal>true</span>) &#123;</span><br><span class=line>            <span class=comment>// 当符号栈为空时，表示已经计算完了</span></span><br><span class=line>            <span class=keyword>if</span> (operStack.isEmpty()) &#123;</span><br><span class=line>                <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=type>int</span> <span class=variable>num1</span> <span class=operator>=</span> numStack.pop();</span><br><span class=line>            <span class=type>int</span> <span class=variable>num2</span> <span class=operator>=</span> numStack.pop();</span><br><span class=line>            <span class=type>int</span> <span class=variable>oper</span> <span class=operator>=</span> operStack.pop();</span><br><span class=line>            <span class=type>int</span> <span class=variable>res</span> <span class=operator>=</span> cal(num1, num2, oper);</span><br><span class=line>            <span class=comment>// 将结果入数栈</span></span><br><span class=line>            numStack.push(res);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=comment>// 计算完成之后，数栈中只有一个数据了，就是结果</span></span><br><span class=line>        System.out.println(<span class=string>&quot;栈中数据是否只有一个结果数字：&quot;</span>);</span><br><span class=line>        numStack.print();</span><br><span class=line>        <span class=keyword>return</span> numStack.pop();</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 计算</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> num1 依次从栈顶弹出来的数据</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> num2</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> oper 操作符</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span></span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> <span class="title function_">cal</span><span class=params>(<span class=type>int</span> num1, <span class=type>int</span> num2, <span class=type>int</span> oper)</span> &#123;</span><br><span class=line>        <span class=keyword>switch</span> (oper) &#123;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;+&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> num1 + num2;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;-&#x27;</span>:</span><br><span class=line>                <span class=comment>// 注意顺序，在栈底的数据，是先进去的，如果是减法，则是前面的数字减后面的数字</span></span><br><span class=line>                <span class=keyword>return</span> num2 - num1;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;*&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> num1 * num2;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;/&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> num2 / num1;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=comment>// 由于前面校验过操作符，不会走到这里来的</span></span><br><span class=line>        <span class=keyword>return</span> <span class=number>0</span>;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 计算操作符号优先级，暂时只支持 + - * /</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> ch</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span> 优先级越高，数值越大</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> <span class="title function_">priority</span><span class=params>(<span class=type>char</span> ch)</span> &#123;</span><br><span class=line>        <span class=keyword>switch</span> (ch) &#123;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;+&#x27;</span>:</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;-&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> <span class=number>0</span>;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;*&#x27;</span>:</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;/&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> <span class=number>1</span>;</span><br><span class=line>            <span class=keyword>default</span>:</span><br><span class=line>                <span class=keyword>return</span> -<span class=number>1</span>;</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 是否是操作符</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> ch</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span></span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>boolean</span> <span class="title function_">isOper</span><span class=params>(<span class=type>char</span> ch)</span> &#123;</span><br><span class=line>        <span class=keyword>switch</span> (ch) &#123;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;+&#x27;</span>:</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;-&#x27;</span>:</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;*&#x27;</span>:</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;/&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> <span class=literal>true</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> <span class=literal>false</span>;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure></div></details></li></ol><h3 id=后缀表达式><a href=#后缀表达式 class=headerlink title=后缀表达式></a>后缀表达式</h3><div class="note primary flat"><p><strong>后缀表达式</strong> 又称为 <strong>逆波兰表达式</strong> ，与前缀表达式类似，只是 <strong>运算符</strong> 位于 <strong>操作数</strong> 之后。</p></div><ol><li><p>后缀表达式求值过程：</p><ol><li>从 <strong>左到右</strong> 扫描表达式。</li><li>遇到 <strong>数字</strong> 时，将数字压入堆栈。</li><li>遇到 <strong>符号</strong> 时，将数字栈栈顶和次顶元素弹出，计算顺序为 次顶元素（符号）栈顶元素。</li><li>重复上述过程直至剩余最后一个结果。</li></ol></li><li><p>中缀表达式转后缀表达式</p><ol><li>初始化两个栈</li></ol><ul><li>符号栈 <strong>s1</strong></li><li>中间结果栈 <strong>s2</strong></li></ul><ol><li>从左到右扫描中缀表达式</li><li>遇到操作数直接压入 <strong>s2</strong></li><li>遇到运算符时<ol><li>若 <strong>s1</strong> 为空，或者栈顶元素符号位 <code>(</code> ，则将其压入符号栈 <strong>s1</strong></li><li>若优先级比栈顶运算符 <strong>高</strong> ，也将其压入符号栈 <strong>s1</strong></li><li>若优先级比栈顶运算符 <strong>低或者相等</strong> ，则弹出 <strong>s1</strong>栈顶元素，将其压入 <strong>s2</strong> 中，然后继续循环步骤 4，直至当前符号压入 <strong>s1</strong></li></ol></li><li>遇到括号时<ol><li>如果是左括号 <code>(</code>：直接压入 <strong>s1</strong></li><li>如果是右括号 <code>)</code>：<br>则依次弹出 <strong>s1</strong>栈顶的运算符，并压入 <strong>s2</strong> 直到遇到 <strong>左括号</strong> 为止，此时将这一对括号 <strong>丢弃</strong></li></ol></li><li>重复步骤 2 到 5 ，直到表达式的最右端</li><li>将 s1 的运算符依次弹出并压入 s2 ，结果的 <strong>逆序</strong> 即为：中缀表达式转后缀表达式的结果</li></ol></li><li><p>中缀表达式转后缀表达式的举例说明</p><details class=folding-tag green><summary>查看举例</summary><div class=content><div class="note orange icon-padding flat"><i class="note-icon fas fa-battery-half"></i><p>将中缀表达式：<code>1+((2+3)*4)-5</code>转化为后缀表达式</p></div><div class=table-container><table><thead><tr><th style=text-align:center>扫描到的元素</th><th style=text-align:center>s2（栈底-&gt;栈顶）</th><th style=text-align:center>s1（栈底-&gt;栈顶）</th><th style=text-align:center>说明</th></tr></thead><tbody><tr><td style=text-align:center><code>1</code></td><td style=text-align:center><code>1</code></td><td style=text-align:center><code>null</code></td><td style=text-align:center>遇到操作数直接压入 <strong>s2</strong></td></tr><tr><td style=text-align:center><code>+</code></td><td style=text-align:center><code>1</code></td><td style=text-align:center><code>+</code></td><td style=text-align:center><code>s1</code>为空，直接压入</td></tr><tr><td style=text-align:center><code>(</code></td><td style=text-align:center><code>1</code></td><td style=text-align:center><code>+ (</code></td><td style=text-align:center>运算符为<code>(</code>，直接压入</td></tr><tr><td style=text-align:center><code>(</code></td><td style=text-align:center><code>1</code></td><td style=text-align:center><code>+ ( (</code></td><td style=text-align:center>运算符为<code>(</code>，直接压入</td></tr><tr><td style=text-align:center><code>2</code></td><td style=text-align:center><code>1 2</code></td><td style=text-align:center><code>+ ( (</code></td><td style=text-align:center>遇到操作数直接压入 <code>s2</code></td></tr><tr><td style=text-align:center><code>+</code></td><td style=text-align:center><code>1 2</code></td><td style=text-align:center><code>+ ( ( +</code></td><td style=text-align:center>栈顶元素为<code>(</code>，直接压入 <code>s1</code></td></tr><tr><td style=text-align:center><code>3</code></td><td style=text-align:center><code>1 2 3</code></td><td style=text-align:center><code>+ ( ( +</code></td><td style=text-align:center>遇到操作数直接压入 <strong>s2</strong></td></tr><tr><td style=text-align:center><code>)</code></td><td style=text-align:center><code>1 2 3 +</code></td><td style=text-align:center><code>+ (</code></td><td style=text-align:center>遇到<code>)</code>时，依次弹出 <strong>s1</strong>栈顶的运算符，并压入 <strong>s2</strong> 直到遇到 <strong>左括号</strong> 为止，此时将这一对括号 <strong>丢弃</strong></td></tr><tr><td style=text-align:center><code>*</code></td><td style=text-align:center><code>1 2 3 +</code></td><td style=text-align:center><code>+ ( *</code></td><td style=text-align:center>栈顶元素为<code>(</code>，直接压入<code>s1</code></td></tr><tr><td style=text-align:center><code>4</code></td><td style=text-align:center><code>1 2 3 + 4</code></td><td style=text-align:center><code>+ ( *</code></td><td style=text-align:center>遇到操作数直接压入 <code>s2</code></td></tr><tr><td style=text-align:center><code>)</code></td><td style=text-align:center><code>1 2 3 + 4 *</code></td><td style=text-align:center><code>+</code></td><td style=text-align:center>遇到<code>)</code>时，依次弹出 <strong>s1</strong>栈顶的运算符，并压入 <strong>s2</strong> 直到遇到 <strong>左括号</strong> 为止，此时将这一对括号 <strong>丢弃</strong></td></tr><tr><td style=text-align:center><code>-</code></td><td style=text-align:center><code>1 2 3 + 4 * +</code></td><td style=text-align:center><code>-</code></td><td style=text-align:center>优先级比栈顶运算符 <strong>低或者相等</strong> ，则弹出 <strong>s1</strong>栈顶元素，将其压入 <strong>s2</strong> 中，然后继续循环步骤 4，直至当前符号压入 <strong>s1</strong></td></tr><tr><td style=text-align:center><code>5</code></td><td style=text-align:center><code>1 2 3 + 4 * + 5</code></td><td style=text-align:center><code>-</code></td><td style=text-align:center>遇到操作数直接压入 <code>s2</code></td></tr><tr><td style=text-align:center><code>null</code></td><td style=text-align:center><code>1 2 3 + 4 * + 5 -</code></td><td style=text-align:center><code>null</code></td><td style=text-align:center>将 <strong>s1</strong> 的运算符依次弹出并压入 <strong>s2</strong> ，结果的 逆序 即为：中缀表达式转后缀表达式的结果</td></tr></tbody></table></div></div></details></li><li><p>代码实现</p><details class=folding-tag green><summary>查看代码实现</summary><div class=content><ol><li>逆波兰表达式的计算器<div class="note purple icon-padding disabled"><i class="note-icon far fa-hand-scissors"></i><p>实现思路：</p><ol><li>先将后缀表达式转化为一个 <strong>List</strong></li><li>对这个 <strong>List</strong> 进行遍历然后进行计算</li></ol></div></li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br><span class=line>90</span><br><span class=line>91</span><br><span class=line>92</span><br><span class=line>93</span><br><span class=line>94</span><br><span class=line>95</span><br><span class=line>96</span><br><span class=line>97</span><br><span class=line>98</span><br><span class=line>99</span><br><span class=line>100</span><br><span class=line>101</span><br><span class=line>102</span><br><span class=line>103</span><br><span class=line>104</span><br><span class=line>105</span><br><span class=line>106</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.Stack;</span><br><span class=line></span><br><span class=line><span class=keyword>import</span> java.util.Arrays;</span><br><span class=line><span class=keyword>import</span> java.util.List;</span><br><span class=line><span class=keyword>import</span> java.util.Stack;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">ReversePolishCalculator</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        <span class=type>ReversePolishCalculator</span> <span class=variable>calculator</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">ReversePolishCalculator</span>();</span><br><span class=line></span><br><span class=line>        <span class=comment>// (3+4)*5-6 =&gt; 对应的后缀表达式 `3 4 + 5 * 6 -`</span></span><br><span class=line>        <span class=type>String</span> <span class=variable>postfixExpression</span> <span class=operator>=</span> <span class=string>&quot;3 4 + 5 * 6 -&quot;</span>;</span><br><span class=line>        System.out.println(<span class=string>&quot;(3+4)*5-6 = &quot;</span> + calculator.cal(postfixExpression));</span><br><span class=line></span><br><span class=line>        <span class=comment>// (30+4)*5-6 =&gt; 对应的后缀表达式 `30 4 + 5 * 6 -`</span></span><br><span class=line>        postfixExpression = <span class=string>&quot;30 4 + 5 * 6 -&quot;</span>;</span><br><span class=line>        System.out.println(<span class=string>&quot;(30+4)*5-6 = &quot;</span> + calculator.cal(postfixExpression));</span><br><span class=line></span><br><span class=line>        <span class=comment>// 4*5-8+60+8/2 =&gt; 对应的后缀表达式 `4 5 * 8 - 60 + 8 2 / +`</span></span><br><span class=line>        postfixExpression = <span class=string>&quot;4 5 * 8 - 60 + 8 2 / +&quot;</span>;</span><br><span class=line>        System.out.println(<span class=string>&quot;4*5-8+60+8/2 = &quot;</span> + calculator.cal(postfixExpression));</span><br><span class=line></span><br><span class=line>        <span class=comment>// (3+4)-(3-4)*10，对应后缀表达式为：3 4 + 10 3 4 - * -</span></span><br><span class=line>        postfixExpression = <span class=string>&quot;3 4 + 10 3 4 - * -&quot;</span>;</span><br><span class=line>        System.out.println(<span class=string>&quot;(3+4)-(3-4)*10 = &quot;</span> + calculator.cal(postfixExpression));</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 计算一个后缀表达式的值</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> postfixExpression</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span></span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">cal</span><span class=params>(String postfixExpression)</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> start(convert(postfixExpression));</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 将后缀表达式转换成 list</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> postfixExpression 表达式中的每个元素都用空格隔开，是为了方便；这里重点不在于怎么去解析出每一个元素了</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span></span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> List&lt;String&gt; <span class="title function_">convert</span><span class=params>(String postfixExpression)</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> Arrays.asList(postfixExpression.split(<span class=string>&quot; &quot;</span>));</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 计算</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> postfixElements</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span></span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> <span class="title function_">start</span><span class=params>(List&lt;String&gt; postfixElements)</span> &#123;</span><br><span class=line>        <span class=comment>/*</span></span><br><span class=line><span class=comment>         * 比如：`(3+4)x5-6` 对应的后缀表达式 `3 4 + 5 x 6 -`</span></span><br><span class=line><span class=comment>         * 1. 从左到右扫描，将 3、4 压入堆栈</span></span><br><span class=line><span class=comment>         * 2. 扫描到 `+` 运算符时</span></span><br><span class=line><span class=comment>         * 将弹出 4 和 3，计算 `3 + 4 = 7`，将 7 压入栈</span></span><br><span class=line><span class=comment>         * 3. 将 5 入栈</span></span><br><span class=line><span class=comment>         * 4. 扫描到 `x` 运算符时</span></span><br><span class=line><span class=comment>         * 将弹出 5 和 7 ，计算 `7 x 5 = 35`，将 35 入栈</span></span><br><span class=line><span class=comment>         * 5. 将 6 入栈</span></span><br><span class=line><span class=comment>         * 6. 扫描到 `-` 运算符时</span></span><br><span class=line><span class=comment>         * 将弹出 6 和 35，计算 `35 - 6 = 29`，将 29 压入栈</span></span><br><span class=line><span class=comment>         * 7. 扫描表达式结束，29 是表达式的值</span></span><br><span class=line><span class=comment>         */</span></span><br><span class=line>        Stack&lt;Integer&gt; stack = <span class=keyword>new</span> <span class="title class_">Stack</span>&lt;&gt;();</span><br><span class=line>        <span class=keyword>for</span> (String el : postfixElements) &#123;</span><br><span class=line>            <span class=comment>// 如果是数字则入栈</span></span><br><span class=line>            <span class=keyword>if</span> (el.matches(<span class=string>&quot;\\d+&quot;</span>)) &#123;</span><br><span class=line>                stack.push(Integer.parseInt(el));</span><br><span class=line>                <span class=keyword>continue</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=comment>// 是运算符，则弹出两个数</span></span><br><span class=line>            <span class=type>Integer</span> <span class=variable>num2</span> <span class=operator>=</span> stack.pop();</span><br><span class=line>            <span class=type>Integer</span> <span class=variable>num1</span> <span class=operator>=</span> stack.pop();</span><br><span class=line>            <span class=type>int</span> <span class=variable>res</span> <span class=operator>=</span> cal(num1, num2, el.charAt(<span class=number>0</span>));</span><br><span class=line>            stack.push(res);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> stack.pop();</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 计算</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> num1</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> num2</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> oper 操作符</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span></span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> <span class="title function_">cal</span><span class=params>(<span class=type>int</span> num1, <span class=type>int</span> num2, <span class=type>char</span> oper)</span> &#123;</span><br><span class=line>        <span class=keyword>switch</span> (oper) &#123;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;+&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> num1 + num2;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;-&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> num1 - num2;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;*&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> num1 * num2;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;/&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> num1 / num2;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">IllegalArgumentException</span>(<span class=string>&quot;不支持的运算符：&quot;</span> + oper);</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><ol><li>中缀表达式转后缀表达式代码实现</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br><span class=line>90</span><br><span class=line>91</span><br><span class=line>92</span><br><span class=line>93</span><br><span class=line>94</span><br><span class=line>95</span><br><span class=line>96</span><br><span class=line>97</span><br><span class=line>98</span><br><span class=line>99</span><br><span class=line>100</span><br><span class=line>101</span><br><span class=line>102</span><br><span class=line>103</span><br><span class=line>104</span><br><span class=line>105</span><br><span class=line>106</span><br><span class=line>107</span><br><span class=line>108</span><br><span class=line>109</span><br><span class=line>110</span><br><span class=line>111</span><br><span class=line>112</span><br><span class=line>113</span><br><span class=line>114</span><br><span class=line>115</span><br><span class=line>116</span><br><span class=line>117</span><br><span class=line>118</span><br><span class=line>119</span><br><span class=line>120</span><br><span class=line>121</span><br><span class=line>122</span><br><span class=line>123</span><br><span class=line>124</span><br><span class=line>125</span><br><span class=line>126</span><br><span class=line>127</span><br><span class=line>128</span><br><span class=line>129</span><br><span class=line>130</span><br><span class=line>131</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure.Stack;</span><br><span class=line></span><br><span class=line><span class=keyword>import</span> java.util.ArrayList;</span><br><span class=line><span class=keyword>import</span> java.util.List;</span><br><span class=line><span class=keyword>import</span> java.util.Stack;</span><br><span class=line></span><br><span class=line><span class=comment>/**</span></span><br><span class=line><span class=comment> * 中缀表达式转后缀表达式</span></span><br><span class=line><span class=comment> */</span></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">InfixToSuffix</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        <span class=type>InfixToSuffix</span> <span class=variable>infixToSuffix</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">InfixToSuffix</span>();</span><br><span class=line>        <span class=comment>// 目标：1+((2+3)*4)-5 转为 1 2 3 + 4 * + 5 -</span></span><br><span class=line>        <span class=comment>// 1. 将中缀表达式转成 List，方便在后续操作中获取数据</span></span><br><span class=line>        <span class=type>String</span> <span class=variable>infixExpression</span> <span class=operator>=</span> <span class=string>&quot;1+((2+3)*4)-5&quot;</span>;</span><br><span class=line>        List&lt;String&gt; infixList = infixToSuffix.infix2List(infixExpression);</span><br><span class=line>        System.out.println(infixList); <span class=comment>// [1, +, (, (, 2, +, 3, ), *, 4, ), -, 5]</span></span><br><span class=line>        <span class=comment>// 2. 将中缀表达式转成后缀表达式</span></span><br><span class=line>        ArrayList&lt;String&gt; suffixList = infixToSuffix.infixList2SuffixList(infixList);</span><br><span class=line>        System.out.println(suffixList); <span class=comment>// [1, 2, 3, +, 4, *, +, 5, -]</span></span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 将中缀表达式解析成单个元素的 List，</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> infixExpression</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span> 1+((2+3)*4)-5 -&gt; [1,+,(,(,2,+,3,),*,4,),5]</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>public</span> List&lt;String&gt; <span class="title function_">infix2List</span><span class=params>(String infixExpression)</span> &#123;</span><br><span class=line>        ArrayList&lt;String&gt; res = <span class=keyword>new</span> <span class="title class_">ArrayList</span>&lt;&gt;();</span><br><span class=line>        <span class=comment>// 扫描并解析</span></span><br><span class=line>        <span class=type>int</span> <span class=variable>index</span> <span class=operator>=</span> <span class=number>0</span>;</span><br><span class=line>        <span class=type>char</span> <span class=variable>ch</span> <span class=operator>=</span> <span class=number>0</span>;</span><br><span class=line>        <span class=type>String</span> <span class=variable>tempNum</span> <span class=operator>=</span> <span class=string>&quot;&quot;</span>; <span class=comment>// 支持多位数</span></span><br><span class=line>        <span class=keyword>while</span> (index &lt; infixExpression.length()) &#123;</span><br><span class=line>            ch = infixExpression.charAt(index++);</span><br><span class=line>            <span class=comment>// 如果不是数字，就是符号，直接添加到容器中</span></span><br><span class=line>            <span class=comment>// 0 = 48, 9 = 57</span></span><br><span class=line>            <span class=keyword>if</span> (!(ch &gt;= <span class=number>48</span> &amp;&amp; ch &lt;= <span class=number>57</span>)) &#123;</span><br><span class=line>                <span class=comment>// 如果拼接的多位数还有值，则添加到容器中</span></span><br><span class=line>                <span class=keyword>if</span> (!tempNum.isEmpty()) &#123;</span><br><span class=line>                    res.add(tempNum);</span><br><span class=line>                    tempNum = <span class=string>&quot;&quot;</span>;</span><br><span class=line>                &#125;</span><br><span class=line>                res.add(ch + <span class=string>&quot;&quot;</span>);</span><br><span class=line>                <span class=keyword>continue</span>;</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=comment>// 如果是数字，则考虑处理多位数</span></span><br><span class=line>            tempNum += ch;</span><br><span class=line>            <span class=comment>// 如果已经是最后一个字符了，则将这个多位数添加到容器中</span></span><br><span class=line>            <span class=keyword>if</span> (index == infixExpression.length()) &#123;</span><br><span class=line>                res.add(tempNum);</span><br><span class=line>                tempNum = <span class=string>&quot;&quot;</span>;</span><br><span class=line>            &#125;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> res;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 中缀表达式 List 转为后缀表达式 List</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> infixList</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span></span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> ArrayList&lt;String&gt; <span class="title function_">infixList2SuffixList</span><span class=params>(List&lt;String&gt; infixList)</span> &#123;</span><br><span class=line>        <span class=comment>// 符号栈</span></span><br><span class=line>        Stack&lt;String&gt; s1 = <span class=keyword>new</span> <span class="title class_">Stack</span>&lt;&gt;();</span><br><span class=line>        <span class=comment>// 思路是使用栈来存储表达式元素</span></span><br><span class=line>        <span class=comment>// 仔细观察他的解析步骤，会发现：只是在入栈，并未出现出栈操作</span></span><br><span class=line>        <span class=comment>// 而且，最后的结果还要逆序，所以这里使用 list，直接顺序读取出来就是最后的结果了</span></span><br><span class=line>        ArrayList&lt;String&gt; s2 = <span class=keyword>new</span> <span class="title class_">ArrayList</span>&lt;&gt;();</span><br><span class=line></span><br><span class=line>        <span class=keyword>for</span> (String item : infixList) &#123;</span><br><span class=line>            <span class=comment>// 如果是数字，则加入 s2</span></span><br><span class=line>            <span class=keyword>if</span> (item.matches(<span class=string>&quot;\\d+&quot;</span>)) &#123;</span><br><span class=line>                s2.add(item);</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=comment>// 如果是左括号，直接压入 s1</span></span><br><span class=line>            <span class=keyword>else</span> <span class=keyword>if</span> (item.equals(<span class=string>&quot;(&quot;</span>)) &#123;</span><br><span class=line>                s1.push(item);</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=comment>// 如果是右括号</span></span><br><span class=line>            <span class=comment>// 则依次弹出 s1 栈顶的运算符，并压入 s2，直到遇到 左括号 为止，此时将这一对括号 丢弃</span></span><br><span class=line>            <span class=keyword>else</span> <span class=keyword>if</span> (item.equals(<span class=string>&quot;)&quot;</span>)) &#123;</span><br><span class=line>                <span class=comment>// 如果不是左括号，则取出 s1 中的符号，添加到 s2 中</span></span><br><span class=line>                <span class=keyword>while</span> (!s1.peek().equals(<span class=string>&quot;(&quot;</span>)) &#123;</span><br><span class=line>                    s2.add(s1.pop());</span><br><span class=line>                &#125;</span><br><span class=line>                <span class=comment>// 上面循环完之后，那么就是遇到了左括号</span></span><br><span class=line>                <span class=comment>// 则直接弹出这个左括号丢弃</span></span><br><span class=line>                s1.pop();</span><br><span class=line>            &#125;</span><br><span class=line>            <span class=comment>// 剩下的则是运算符</span></span><br><span class=line>            <span class=keyword>else</span> &#123;</span><br><span class=line>                <span class=comment>// 如果 s1 为空，或则栈顶运算符为 （，则压入符号栈 s1</span></span><br><span class=line>                <span class=comment>// 如果优先级比栈顶运算符 高，则压入符号栈 s1,否则，否则将 s1 栈顶的运算符弹出，压入 s2 中</span></span><br><span class=line>                <span class=comment>// 上面两句话，转换成下面的描述</span></span><br><span class=line>                <span class=comment>// 上面如果 s1 栈顶符号优先级比 当前符号高，则弹出加入到 s2 中。</span></span><br><span class=line>                <span class=comment>// 因为：如果栈顶符号是 （ 返回优先级为 -1.比当前符号低，则不会走该方法</span></span><br><span class=line>                <span class=keyword>while</span> (!s1.isEmpty() &amp;&amp; priority(s1.peek().charAt(<span class=number>0</span>)) &gt;= priority(item.charAt(<span class=number>0</span>))) &#123;</span><br><span class=line>                    s2.add(s1.pop());</span><br><span class=line>                &#125;</span><br><span class=line>                s1.push(item);</span><br><span class=line>            &#125;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=comment>// 将 s1 中的运算符依次弹出并加入 s2 中</span></span><br><span class=line>        <span class=keyword>while</span> (!s1.isEmpty()) &#123;</span><br><span class=line>            s2.add(s1.pop());</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> s2;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>/**</span></span><br><span class=line><span class=comment>     * 计算操作符号优先级，暂时只支持 + - * /</span></span><br><span class=line><span class=comment>     *</span></span><br><span class=line><span class=comment>     * <span class=doctag>@param</span> ch</span></span><br><span class=line><span class=comment>     * <span class=doctag>@return</span> 优先级越高，数值越大</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> <span class="title function_">priority</span><span class=params>(<span class=type>char</span> ch)</span> &#123;</span><br><span class=line>        <span class=keyword>switch</span> (ch) &#123;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;+&#x27;</span>:</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;-&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> <span class=number>0</span>;</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;*&#x27;</span>:</span><br><span class=line>            <span class=keyword>case</span> <span class=string>&#x27;/&#x27;</span>:</span><br><span class=line>                <span class=keyword>return</span> <span class=number>1</span>;</span><br><span class=line>            <span class=keyword>default</span>:</span><br><span class=line>                <span class=keyword>return</span> -<span class=number>1</span>;</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure></div></details></li></ol><h3 id=前缀表达式><a href=#前缀表达式 class=headerlink title=前缀表达式></a>前缀表达式</h3><ol><li><p>前缀表达式又称 <strong>波兰表达式</strong> ，前缀表达式的 <strong>运算符位于操作数之前</strong>。</p></li><li><p>前缀表达式求值过程：</p><ol><li>从 <strong>右到左</strong> 扫描表达式。</li><li>遇到 <strong>数字</strong> 将数字压入栈。</li><li>遇到 <strong>符号</strong> 弹出数字栈的两个元素，与运算符计算，顺序为： <strong>先</strong> 弹出的 （<strong>符号</strong>） <strong>后</strong> 弹出的。</li><li>重复上述过程直至剩余最后一个结果。</li></ol></li><li><p>中缀表达式转前缀表达式</p><details class=folding-tag green><summary>查看思路</summary><div class=content><p>(1) 初始化两个栈：运算符栈 S1 和储存中间结果的栈 S2；<br>(2) 从右至左扫描中缀表达式；<br>(3) 遇到操作数时，将其压入 S2；<br>(4) 遇到运算符时，比较其与 S1 栈顶运算符的优先级：<br>(4-1) 如果 S1 为空，或栈顶运算符为右括号“)”，则直接将此运算符入栈；<br>(4-2) 否则，若优先级比栈顶运算符的较高或相等，也将运算符压入 S1；<br>(4-3) 否则，将 S1 栈顶的运算符弹出并压入到 S2 中，再次转到(4-1)与 S1 中新的栈顶运算符相比较；<br>(5) 遇到括号时：<br>(5-1) 如果是右括号“)”，则直接压入 S1；<br>(5-2) 如果是左括号“(”，则依次弹出 S1 栈顶的运算符，并压入 S2，直到遇到右括号为止，此时将这一对括号丢弃；<br>(6) 重复步骤(2)至(5)，直到表达式的最左边；<br>(7) 将 S1 中剩余的运算符依次弹出并压入 S2；<br>(8) 依次弹出 S2 中的元素并输出，结果即为中缀表达式对应的前缀表达式。<br><div class="note warning flat"><p>值得注意的是 s2 输出结果 不需要 逆序</p></div></p></div></details><div class="note info flat"><p>代码实现思路与后缀表达式类似，且使用情况较少，故不再详细讲述。</p></div></li></ol><h2 id=队列><a href=#队列 class=headerlink title=队列></a>队列</h2><h3 id=基本概念><a href=#基本概念 class=headerlink title=基本概念></a>基本概念</h3><ol><li>队列：是一个 <strong>有序列表</strong> ，可以用 <strong>数组</strong> 或 <strong>链表</strong> 来实现。</li><li>特点：遵循 <strong>先入先出</strong> 的原则。<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20230109221132.png alt=示意图></li></ol><h3 id=数组模拟队列><a href=#数组模拟队列 class=headerlink title=数组模拟队列></a>数组模拟队列</h3><div class="note success flat"><p>声明 4 个变量：</p><ul><li><code>arr</code>：用来储存数据的数组</li><li><code>maxSize</code>：该队列的最大容量</li><li><code>front</code>：队首下标，随着数据输出而改变</li><li><code>rear</code>：队尾下标，随着数据输入二改变</li></ul><p>队列中常用操作分析，以 <strong>add</strong> ，把数据存入队列为例，思路分析：</p><ol><li>存入数据后将尾指针往后移：<code>rear + 1</code>，前提是当 <code>front == rear</code>时，队列是空的</li><li>若尾指针<code>rear &lt; maxSize - 1</code>：<ul><li>则将数据存入<code>rear</code>所指的数组元素中</li><li>否则无法存入数据，<code>rear = maxSize - 1</code>表示队列满了</li></ul></li></ol></div><pre><code> &#123;% folding green,查看代码实现 %&#125;
+
+<figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">Queue</span> &#123;</span><br><span class=line>    <span class=comment>/*</span></span><br><span class=line><span class=comment>     * 主函数：</span></span><br><span class=line><span class=comment>     * 添加队列元素与展示队列元素</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        <span class=type>ArrayQueue</span> <span class=variable>queue</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">ArrayQueue</span>(<span class=number>3</span>);</span><br><span class=line>        queue.add(<span class=number>1</span>);</span><br><span class=line>        queue.add(<span class=number>2</span>);</span><br><span class=line>        queue.add(<span class=number>3</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;查看队列中的数据：&quot;</span>);</span><br><span class=line>        queue.show();</span><br><span class=line>        System.out.println(<span class=string>&quot;查看队列头数据：&quot;</span> + queue.head());</span><br><span class=line>        System.out.println(<span class=string>&quot;查看队列尾数据：&quot;</span> + queue.tail());</span><br><span class=line>        System.out.println(<span class=string>&quot;获取队列的数据：&quot;</span> + queue.get());</span><br><span class=line>        System.out.println(<span class=string>&quot;查看队列中的数据：&quot;</span>);</span><br><span class=line>        queue.show();</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=keyword>class</span> <span class="title class_">ArrayQueue</span> &#123;</span><br><span class=line>    <span class=comment>// 确定队列的4个基本属性,使用private修饰符修饰成员变量</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> maxSize;</span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> front;</span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> rear;</span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> arr[];</span><br><span class=line></span><br><span class=line>    <span class=comment>// 创建队列，初始化成员变量,使用构造函数创建</span></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">ArrayQueue</span><span class=params>(<span class=type>int</span> arrMaxSize)</span> &#123;</span><br><span class=line>        maxSize = arrMaxSize;</span><br><span class=line>        arr = <span class=keyword>new</span> <span class="title class_">int</span>[maxSize];</span><br><span class=line>        front = -<span class=number>1</span>;</span><br><span class=line>        rear = -<span class=number>1</span>;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 取出队列的数据,同时使用isEmpty来判断队列是否为空</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">get</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;队列空&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> arr[++front];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 往队列中放入数据，用isFull来判断队列是否已满</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">add</span><span class=params>(<span class=type>int</span> n)</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isFull()) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;队列已满！&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        arr[++rear] = n;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 显示队列中的数据,判断不为空之后采用循环遍历的方式显示数据</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">show</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;队列为空&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> <span class=number>0</span>; i &lt; arr.length; i++) &#123;</span><br><span class=line>            System.out.printf(<span class=string>&quot;arr[%d]: %d\n&quot;</span>, i, arr[i]);</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 取出队头元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">head</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;队列为空&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> arr[front + <span class=number>1</span>];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 取出队尾元素</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">tail</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;队列为空&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> arr[rear];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>private</span> <span class=type>boolean</span> <span class="title function_">isFull</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> rear == maxSize - <span class=number>1</span>;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>private</span> <span class=type>boolean</span> <span class="title function_">isEmpty</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> rear == front;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure>
+
+&#123;% endfolding %&#125;
+</code></pre><h3 id=循环队列><a href=#循环队列 class=headerlink title=循环队列></a>循环队列</h3><div class="note success flat"><p>基本思路：</p><ol><li><code>front</code>:队列的第一个元素</li><li><code>rear</code>:队列最后一个元素的下一个位置</li><li>队列 <strong>满</strong> 计算公式：<code>(rear + 1) % maxSize == front</code></li><li>队列 <strong>空</strong> 计算公式：<code>rear == front</code></li><li>队列中 <strong>有效元素个数</strong> 计算公式：<code>(rear + maxSize -front) % maxSize</code><br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20230109223409.png></li></ol></div><details class=folding-tag green><summary>查看代码实现</summary><div class=content><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br><span class=line>49</span><br><span class=line>50</span><br><span class=line>51</span><br><span class=line>52</span><br><span class=line>53</span><br><span class=line>54</span><br><span class=line>55</span><br><span class=line>56</span><br><span class=line>57</span><br><span class=line>58</span><br><span class=line>59</span><br><span class=line>60</span><br><span class=line>61</span><br><span class=line>62</span><br><span class=line>63</span><br><span class=line>64</span><br><span class=line>65</span><br><span class=line>66</span><br><span class=line>67</span><br><span class=line>68</span><br><span class=line>69</span><br><span class=line>70</span><br><span class=line>71</span><br><span class=line>72</span><br><span class=line>73</span><br><span class=line>74</span><br><span class=line>75</span><br><span class=line>76</span><br><span class=line>77</span><br><span class=line>78</span><br><span class=line>79</span><br><span class=line>80</span><br><span class=line>81</span><br><span class=line>82</span><br><span class=line>83</span><br><span class=line>84</span><br><span class=line>85</span><br><span class=line>86</span><br><span class=line>87</span><br><span class=line>88</span><br><span class=line>89</span><br><span class=line>90</span><br><span class=line>91</span><br><span class=line>92</span><br><span class=line>93</span><br><span class=line>94</span><br><span class=line>95</span><br><span class=line>96</span><br><span class=line>97</span><br><span class=line>98</span><br><span class=line>99</span><br><span class=line>100</span><br><span class=line>101</span><br><span class=line>102</span><br><span class=line>103</span><br><span class=line>104</span><br><span class=line>105</span><br><span class=line>106</span><br><span class=line>107</span><br><span class=line>108</span><br><span class=line>109</span><br><span class=line>110</span><br><span class=line>111</span><br><span class=line>112</span><br><span class=line>113</span><br><span class=line>114</span><br><span class=line>115</span><br><span class=line>116</span><br><span class=line>117</span><br><span class=line>118</span><br><span class=line>119</span><br><span class=line>120</span><br><span class=line>121</span><br><span class=line>122</span><br><span class=line>123</span><br><span class=line>124</span><br><span class=line>125</span><br><span class=line>126</span><br><span class=line>127</span><br><span class=line>128</span><br><span class=line>129</span><br><span class=line>130</span><br><span class=line>131</span><br><span class=line>132</span><br><span class=line>133</span><br><span class=line>134</span><br><span class=line>135</span><br><span class=line>136</span><br><span class=line>137</span><br><span class=line>138</span><br><span class=line>139</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>package</span> DataStructure;</span><br><span class=line></span><br><span class=line><span class=keyword>import</span> java.util.Scanner;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">CircleQueueDemo</span> &#123;</span><br><span class=line>    <span class=comment>// 写一个主函数内部写一个控制台输入的小程序</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        <span class=type>CircleQueue</span> <span class=variable>queue</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">CircleQueue</span>(<span class=number>3</span>);</span><br><span class=line></span><br><span class=line>        <span class=type>Scanner</span> <span class=variable>scanner</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Scanner</span>(System.in);</span><br><span class=line>        <span class=type>boolean</span> <span class=variable>loop</span> <span class=operator>=</span> <span class=literal>true</span>;</span><br><span class=line>        <span class=type>char</span> <span class=variable>key</span> <span class=operator>=</span> <span class=string>&#x27; &#x27;</span>;</span><br><span class=line>        System.out.println(<span class=string>&quot;s(show): 显示队列&quot;</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;e(exit): 退出程序&quot;</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;a(add): 添加数据到队列&quot;</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;g(get): 从队列取出数据&quot;</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;h(head): 查看队列头的数据&quot;</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;t(tail): 查看队列尾的数据&quot;</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;p(isEmpty): 队列是否为空&quot;</span>);</span><br><span class=line>        <span class=keyword>while</span> (loop) &#123;</span><br><span class=line>            key = scanner.next().charAt(<span class=number>0</span>);</span><br><span class=line>            <span class=keyword>switch</span> (key) &#123;</span><br><span class=line>                <span class=keyword>case</span> <span class=string>&#x27;s&#x27;</span>:</span><br><span class=line>                    queue.show();</span><br><span class=line>                    <span class=keyword>break</span>;</span><br><span class=line>                <span class=keyword>case</span> <span class=string>&#x27;e&#x27;</span>:</span><br><span class=line>                    loop = <span class=literal>false</span>;</span><br><span class=line>                    <span class=keyword>break</span>;</span><br><span class=line>                <span class=keyword>case</span> <span class=string>&#x27;a&#x27;</span>:</span><br><span class=line>                    System.out.println(<span class=string>&quot;请输入要添加到队列中的整数：&quot;</span>);</span><br><span class=line>                    <span class=type>int</span> <span class=variable>value</span> <span class=operator>=</span> scanner.nextInt();</span><br><span class=line>                    queue.add(value);</span><br><span class=line>                    <span class=keyword>break</span>;</span><br><span class=line>                <span class=keyword>case</span> <span class=string>&#x27;g&#x27;</span>:</span><br><span class=line>                    <span class=keyword>try</span> &#123;</span><br><span class=line>                        <span class=type>int</span> <span class=variable>res</span> <span class=operator>=</span> queue.get();</span><br><span class=line>                        System.out.printf(<span class=string>&quot;取出的数据是：%d\n&quot;</span>, res);</span><br><span class=line>                    &#125; <span class=keyword>catch</span> (Exception e) &#123;</span><br><span class=line>                        System.out.println(e.getMessage());</span><br><span class=line>                    &#125;</span><br><span class=line>                    <span class=keyword>break</span>;</span><br><span class=line>                <span class=keyword>case</span> <span class=string>&#x27;h&#x27;</span>:</span><br><span class=line>                    <span class=keyword>try</span> &#123;</span><br><span class=line>                        <span class=type>int</span> <span class=variable>res</span> <span class=operator>=</span> queue.head();</span><br><span class=line>                        System.out.println(<span class=string>&quot;队头数据为：&quot;</span> + res);</span><br><span class=line>                    &#125; <span class=keyword>catch</span> (Exception e) &#123;</span><br><span class=line>                        System.out.println(e.getMessage());</span><br><span class=line>                    &#125;</span><br><span class=line>                    <span class=keyword>break</span>;</span><br><span class=line>                <span class=keyword>case</span> <span class=string>&#x27;t&#x27;</span>:</span><br><span class=line>                    <span class=keyword>try</span> &#123;</span><br><span class=line>                        <span class=type>int</span> <span class=variable>res</span> <span class=operator>=</span> queue.tail();</span><br><span class=line>                        System.out.println(<span class=string>&quot;队尾数据为：&quot;</span> + res);</span><br><span class=line>                    &#125; <span class=keyword>catch</span> (Exception e) &#123;</span><br><span class=line>                        System.out.println(e.getMessage());</span><br><span class=line>                    &#125;</span><br><span class=line>                    <span class=keyword>break</span>;</span><br><span class=line>                <span class=keyword>case</span> <span class=string>&#x27;p&#x27;</span>:</span><br><span class=line>                    System.out.printf(<span class=string>&quot;队列是否为空：%s&quot;</span>, queue.isEmpty());</span><br><span class=line>                    <span class=keyword>break</span>;</span><br><span class=line>            &#125;</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=comment>// 开始编写环形队列这个类</span></span><br><span class=line><span class=keyword>class</span> <span class="title class_">CircleQueue</span> &#123;</span><br><span class=line>    <span class=comment>// 使用私有变量储存四个基本属性</span></span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> maxSize;</span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> front;</span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span> rear;</span><br><span class=line>    <span class=keyword>private</span> <span class=type>int</span>[] arr;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 初始化环形队列</span></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">CircleQueue</span><span class=params>(<span class=type>int</span> arrMaxSize)</span> &#123;</span><br><span class=line>        maxSize = arrMaxSize + <span class=number>1</span>; <span class=comment>// 此处+1是因为需要给rear留出空的储存空间</span></span><br><span class=line>        front = <span class=number>0</span>;</span><br><span class=line>        rear = <span class=number>0</span>;</span><br><span class=line>        arr = <span class=keyword>new</span> <span class="title class_">int</span>[maxSize];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 取出队列的数据</span></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">get</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;队列空&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=type>int</span> <span class=variable>value</span> <span class=operator>=</span> arr[front];</span><br><span class=line>        front = (front + <span class=number>1</span>) % maxSize;</span><br><span class=line>        <span class=keyword>return</span> value;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 往队列中储存数据</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">add</span><span class=params>(<span class=type>int</span> n)</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isFull()) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;队列已满&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        arr[rear] = n;</span><br><span class=line>        rear = (rear + <span class=number>1</span>) % maxSize;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=comment>// 显示队列中的数据</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">show</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            System.out.println(<span class=string>&quot;队列为空&quot;</span>);</span><br><span class=line>            <span class=keyword>return</span>;</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>for</span> (<span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> front; i &lt; front + size(); i++) &#123;</span><br><span class=line>            <span class=type>int</span> <span class=variable>index</span> <span class=operator>=</span> i % maxSize;</span><br><span class=line>            System.out.printf(<span class=string>&quot;arr[%d] = %d\n&quot;</span>, index, arr[index]);</span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">head</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;队列空&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> arr[front];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">tail</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>if</span> (isEmpty()) &#123;</span><br><span class=line>            <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RuntimeException</span>(<span class=string>&quot;队列空&quot;</span>);</span><br><span class=line>        &#125;</span><br><span class=line>        <span class=keyword>return</span> rear - <span class=number>1</span> &lt; <span class=number>0</span> ? arr[maxSize - <span class=number>1</span>] : arr[rear - <span class=number>1</span>];</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>private</span> <span class=type>boolean</span> <span class="title function_">isFull</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> (rear + <span class=number>1</span>) % maxSize == front;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=type>boolean</span> <span class="title function_">isEmpty</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> rear == front;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=type>int</span> <span class="title function_">size</span><span class=params>()</span> &#123;</span><br><span class=line>        <span class=keyword>return</span> (rear + maxSize - front) % maxSize;</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure></div></details></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/6534ce06/">http://refrain.cf/posts/6534ce06/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" rel="external nofollow noreferrer" target=_blank>CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href=http://refrain.cf target=_blank>希亚的西红柿のBlog</a>！</span></div></div><div class=tag_share><div class=post-meta__tag-list><a class=post-meta__tags href="/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a><a class=post-meta__tags href="/tags/%E6%A0%88/">栈</a><a class=post-meta__tags href="/tags/%E9%98%9F%E5%88%97/">队列</a></div><div class=post_share><div class=social-share data-image=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg data-sites=facebook,twitter,wechat,weibo,qq></div><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/butterfly-extsrc/sharejs/dist/css/share.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/sharejs/dist/js/social-share.min.js defer></script></div></div><nav class=pagination-post id=pagination><div 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href=mailto:nova2319427728@outlook.com rel="external nofollow noreferrer" target=_blank title=Email><i class="fas fa-envelope"></i></a><a class=social-icon href=https://space.bilibili.com/325854600 rel="external nofollow noreferrer" target=_blank title=Bilibili><i class="fab fa-bilibili"></i></a><a class=social-icon href=https://t.me/nova1751 rel="external nofollow noreferrer" target=_blank title=Telegram><i class="fab fa-telegram"></i></a><a class=social-icon href=https://refrain.cf/atom.xml target=_blank title=RSS><i class="fas fa-rss"></i></a></div></div><div class="card-widget card-announcement"><div class=item-headline><i class="fas fa-bullhorn fa-shake"></i><span>公告</span></div><div class=announcement_content>This is my Blog</div></div><div class=sticky_layout><div class=card-widget id=card-toc><div class=item-headline><i class="fas fa-stream"></i><span>目录</span><span class=toc-percentage></span></div><div class=toc-content><ol class=toc><li class="toc-item toc-level-2"><a class=toc-link href=#%E6%A0%88%E7%9A%84%E5%AE%9A%E4%B9%89%E4%B8%8E%E6%93%8D%E4%BD%9C><span class=toc-number>1.</span> <span class=toc-text>栈的定义与操作</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%AE%9A%E4%B9%89%E4%B8%8E%E6%9C%AF%E8%AF%AD><span class=toc-number>1.1.</span> <span class=toc-text>定义与术语</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%A0%88%E7%9A%84%E5%9F%BA%E6%9C%AC%E6%93%8D%E4%BD%9C><span class=toc-number>1.2.</span> <span class=toc-text>栈的基本操作</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%A0%88%E7%9A%84%E5%AD%98%E5%82%A8%E8%A1%A8%E7%A4%BA%E5%92%8C%E6%93%8D%E4%BD%9C%E5%AE%9E%E7%8E%B0><span class=toc-number>1.3.</span> <span class=toc-text>栈的存储表示和操作实现</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E6%A0%88%E7%9A%84%E5%BA%94%E7%94%A8><span class=toc-number>2.</span> <span class=toc-text>栈的应用</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E4%B8%AD%E7%BC%80%E8%A1%A8%E8%BE%BE%E5%BC%8F><span class=toc-number>2.1.</span> <span class=toc-text>中缀表达式</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%90%8E%E7%BC%80%E8%A1%A8%E8%BE%BE%E5%BC%8F><span class=toc-number>2.2.</span> <span class=toc-text>后缀表达式</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%89%8D%E7%BC%80%E8%A1%A8%E8%BE%BE%E5%BC%8F><span class=toc-number>2.3.</span> <span class=toc-text>前缀表达式</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E9%98%9F%E5%88%97><span class=toc-number>3.</span> <span class=toc-text>队列</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%9F%BA%E6%9C%AC%E6%A6%82%E5%BF%B5><span class=toc-number>3.1.</span> <span class=toc-text>基本概念</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%95%B0%E7%BB%84%E6%A8%A1%E6%8B%9F%E9%98%9F%E5%88%97><span class=toc-number>3.2.</span> <span class=toc-text>数组模拟队列</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%BE%AA%E7%8E%AF%E9%98%9F%E5%88%97><span class=toc-number>3.3.</span> <span class=toc-text>循环队列</span></a></li></ol></li></ol></div></div><div class="card-widget card-recent-post"><div class=item-headline><i class="fas fa-history"></i><span>最新文章</span></div><div class=aside-list><div class=aside-list-item><a class=thumbnail href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230304182253.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=Windows/Ubuntu双系统安装教程></a><div class=content><a class=title href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程>Windows/Ubuntu双系统安装教程</a><time datetime=2023-03-04T09:52:55.000Z title="发表于 2023-03-04 17:52:55">2023-03-04</time></div></div><div class=aside-list-item><a 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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>机器学习基本概念与知识</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2022-08-20T02:42:24.000Z title="发表于 2022-08-20 10:42:24">2022-08-20</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2022-08-20T02:42:24.000Z title="更新于 2022-08-20 10:42:24">2022-08-20</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>2.7k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>8分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=机器学习基本概念与知识><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><blockquote><p>本文主要介绍机器学习的基本概念与知识，文字比较简洁内容并不长，主要用于记录学习内容，方便之后复习</p></blockquote><h2 id=主要任务><a href=#主要任务 class=headerlink title=主要任务></a>主要任务</h2><ul><li>分类（classification）: 将实例数据划分到合适的类别中。<ul><li>应用实例: 判断网站是否被黑客入侵（二分类 ），手写数字的自动识别（多分类）</li></ul></li><li>回归（regression）: 主要用于预测数值型数据。<ul><li>应用实例: 股票价格波动的预测，房屋价格的预测等。</li></ul></li></ul><h2 id=监督学习-supervised-learning><a href=#监督学习-supervised-learning class=headerlink title="监督学习(supervised learning)"></a>监督学习(supervised learning)</h2><ul><li>特点：训练样本同时具有特征与目标变量的机器学习算法。<ul><li>特征通常是训练样本集的列，它们是独立测量得到的。</li><li>目标变量: 目标变量是机器学习预测算法的测试结果。</li></ul></li><li>监督学习需要注意的问题:<ul><li>偏置方差权衡</li><li>功能的复杂性和数量的训练数据</li><li>输入空间的维数</li><li>噪声中的输出值</li></ul></li></ul><h2 id=非监督学习-unsupervised-learning><a href=#非监督学习-unsupervised-learning class=headerlink title="非监督学习(unsupervised learning)"></a>非监督学习(unsupervised learning)</h2><ul><li>特点：训练样本没有目标变量，即是指在没有类别信息情况下，通过对所研究对象的大量样本的数据分析实现对样本分类的一种数据处理方法。</li><li>非监督学习包括的类型：<ul><li>聚类: 在无监督学习中，将数据集分成由类似的对象组成多个类的过程称为聚类。</li><li>密度估计: 通过样本分布的紧密程度，来估计与分组的相似性。</li><li>此外，无监督学习还可以减少数据特征的维度，以便我们可以使用二维或三维图形更加直观地展示数据信息。</li></ul></li></ul><h2 id=强化学习><a href=#强化学习 class=headerlink title=强化学习></a>强化学习</h2><p>这个算法可以训练程序做出某一决定。程序在某一情况下尝试所有的可能行动，记录不同行动的结果并试着找出最好的一次尝试来做决定。 属于这一类算法的有马尔可夫决策过程。<br><strong>训练过程</strong><br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0%E5%9F%BA%E7%A1%80%E8%AE%AD%E7%BB%83%E8%BF%87%E7%A8%8B.jpg></p><h2 id=算法汇总><a href=#算法汇总 class=headerlink title=算法汇总></a>算法汇总</h2><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/ml_algorithm.jpg></p><h2 id=机器学习的使用><a href=#机器学习的使用 class=headerlink title=机器学习的使用></a>机器学习的使用</h2><blockquote><p><strong>选择算法需要考虑的两个问题</strong></p></blockquote><ol><li>算法场景<ul><li>预测明天是否下雨，因为可以用历史的天气情况做预测，所以选择监督学习算法</li><li>给一群陌生的人进行分组，但是我们并没有这些人的类别信息，所以选择无监督学习算法、通过他们身高、体重等特征进行处理。</li></ul></li><li>需要收集或分析的数据是什么</li></ol><blockquote><p><strong>举例</strong></p></blockquote><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0%E5%9F%BA%E7%A1%80-%E9%80%89%E6%8B%A9%E7%AE%97%E6%B3%95.jpg></p><p><strong>机器学习的开发流程</strong></p><ol><li>收集数据: 收集样本数据</li><li>准备数据: 注意数据的格式</li><li>分析数据: 为了确保数据集中没有垃圾数据；<ul><li>如果是算法可以处理的数据格式或可信任的数据源，则可以跳过该步骤；</li><li>另外该步骤需要人工干预，会降低自动化系统的价值。</li></ul></li><li>训练算法: [机器学习算法核心]如果使用无监督学习算法，由于不存在目标变量值，则可以跳过该步骤</li><li>测试算法: [机器学习算法核心]评估算法效果</li><li>使用算法: 将机器学习算法转为应用程序</li></ol><h2 id=机器学习基础概念补充><a href=#机器学习基础概念补充 class=headerlink title=机器学习基础概念补充></a>机器学习基础概念补充</h2><blockquote><p>一个总结知识点很棒的链接 <a target=_blank rel="noopener external nofollow noreferrer" href=https://zhuanlan.zhihu.com/p/25197792>https://zhuanlan.zhihu.com/p/25197792</a></p></blockquote><h3 id=机器学习基本术语><a href=#机器学习基本术语 class=headerlink title=机器学习基本术语></a>机器学习基本术语</h3><ul><li>模型（model）: 计算机层面的认知</li><li>学习算法（learning algorithm），从数据中产生模型的方法</li><li>数据集（data set）: 一组记录的合集</li><li>示例（instance）: 对于某个对象的描述</li><li>样本（sample）: 也叫示例</li><li>属性（attribute）: 对象的某方面表现或特征</li><li>特征（feature）: 同属性</li><li>属性值（attribute value）: 属性上的取值</li><li>属性空间（attribute space）: 属性张成的空间</li><li>样本空间/输入空间（samplespace）: 同属性空间</li><li>特征向量（feature vector）: 在属性空间里每个点对应一个- 坐标向量，把一个示例称作特征向量</li><li>维数（dimensionality）: 描述样本参数的个数（也就是空间- 是几维的）</li><li>学习（learning）/训练（training）: 从数据中学得模型</li><li>训练数据（training data）: 训练过程中用到的数据</li><li>训练样本（training sample）:训练用到的每个样本</li><li>训练集（training set）: 训练样本组成的集合</li><li>假设（hypothesis）: 学习模型对应了关于数据的某种潜在规则</li><li>真相（ground-truth）:真正存在的潜在规律</li><li>学习器（learner）: 模型的另一种叫法，把学习算法在给定数据和参数空间的实例化</li><li>预测（prediction）: 判断一个东西的属性</li><li>标记（label）: 关于示例的结果信息，比如我是一个“好人”。</li><li>样例（example）: 拥有标记的示例</li><li>标记空间/输出空间（label space）: 所有标记的集合</li><li>分类（classification）: 预测是离散值，比如把人分为好人和坏人之类的学习任务</li><li>回归（regression）: 预测值是连续值，比如你的好人程度达到了 0.9，0.6 之类的</li><li>二分类（binary classification）: 只涉及两个类别的分类任务</li><li>正类（positive class）: 二分类里的一个</li><li>反类（negative class）: 二分类里的另外一个</li><li>多分类（multi-class classification）: 涉及多个类别的分类</li><li>测试（testing）: 学习到模型之后对样本进行预测的过程</li><li>测试样本（testing sample）: 被预测的样本</li><li>聚类（clustering）: 把训练集中的对象分为若干组</li><li>簇（cluster）: 每一个组叫簇</li><li>监督学习（supervised learning）: 典范—分类和回归</li><li>无监督学习（unsupervised learning）: 典范—聚类</li><li>未见示例（unseen instance）: “新样本“，没训练过的样本</li><li>泛化（generalization）能力: 学得的模型适用于新样本的能力</li><li>分布（distribution）: 样本空间的全体样本服从的一种规律</li><li>独立同分布（independent and identically distributed，简称 i,i,d.）:获得的每个样本都是独立地从这个分布上采样获得的。</li></ul><h3 id=数据集的划分><a href=#数据集的划分 class=headerlink title=数据集的划分></a>数据集的划分</h3><ul><li>训练集（Training set） —— 学习样本数据集，通过匹配一些参数来建立一个模型，主要用来训练模型。类比考研前做的解题大全。</li><li>验证集（validation set） —— 对学习出来的模型，调整模型的参数，如在神经网络中选择隐藏单元数。验证集还用来确定网络结构或者控制模型复杂程度的参数。类比 考研之前做的模拟考试。</li><li>测试集（Test set） —— 测试训练好的模型的分辨能力。类比 考研。这次真的是一考定终身。</li></ul><h3 id=模型拟合程度><a href=#模型拟合程度 class=headerlink title=模型拟合程度></a>模型拟合程度</h3><ul><li>欠拟合（Underfitting）: 模型没有很好地捕捉到数据特征，不能够很好地拟合数据，对训练样本的一般性质尚未学好。类比，光看书不做题觉得自己什么都会了，上了考场才知道自己啥都不会。</li><li>过拟合（Overfitting）: 模型把训练样本学习“太好了”，可能把一些训练样本自身的特性当做了所有潜在样本都有的一般性质，导致泛化能力下降。类比，做课后题全都做对了，超纲题也都认为是考试必考题目，上了考场还是啥都不会。</li></ul><blockquote><p>通俗来说，欠拟合和过拟合都可以用一句话来说，欠拟合就是: “你太天真了！”，过拟合就是: “你想太多了！”。</p></blockquote><h3 id=常见的模型指标><a href=#常见的模型指标 class=headerlink title=常见的模型指标></a>常见的模型指标</h3><ul><li>正确率 —— 提取出的正确信息条数 / 提取出的信息条数</li><li>召回率 —— 提取出的正确信息条数 / 样本中的信息条数</li><li>F 值 —— 正确率 <em>召回率</em> 2 / （正确率 + 召回率）（F 值即为正确率和召回率的调和平均值）</li></ul><blockquote><p>举个例子如下:<br>某池塘有 1400 条鲤鱼，300 只虾，300 只乌龟。现在以捕鲤鱼为目的。撒了一张网，逮住了 700 条鲤鱼，200 只 虾， 100 只乌龟。那么这些指标分别如下: 正确率 = 700 / (700 + 200 + 100) = 70% 召回率 = 700 / 1400 = 50% F 值 = 70% <em>50%</em> 2 / (70% + 50%) = 58.3%</p></blockquote><h3 id=模型><a href=#模型 class=headerlink title=模型></a>模型</h3><ul><li>分类问题 —— 说白了就是将一些未知类别的数据分到现在已知的类别中去。比如，根据你的一些信息，判断你是高富帅，还是穷屌丝。评判分类效果好坏的三个指标就是上面介绍的三个指标: 正确率，召回率，F 值。</li><li>回归问题 —— 对数值型连续随机变量进行预测和建模的监督学习算法。回归往往会通过计算 误差（Error）来确定模型的精确性。</li><li>聚类问题 —— 聚类是一种无监督学习任务，该算法基于数据的内部结构寻找观察样本的自然族群（即集群）。聚类问题的标准一般基于距离: 簇内距离（Intra-cluster Distance） 和 簇间距离（Inter-cluster Distance） 。簇内距离是越小越好，也就是簇内的元素越相似越好；而簇间距离越大越好，也就是说簇间（不同簇）元素越不相同越好。一般的，衡量聚类问题会给出一个结合簇内距离和簇间距离的公式。</li></ul><p>下面这个图可以比较直观地展示出来:<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/ml_add_1.jpg></p><h2 id=特征工程的一些细节><a href=#特征工程的一些细节 class=headerlink title=特征工程的一些细节></a>特征工程的一些细节</h2><ul><li>特征选择 —— 也叫特征子集选择（FSS，Feature Subset Selection）。是指从已有的 M 个特征（Feature）中选择 N 个特征使得系统的特定指标最优化，是从原始特征中选择出一些最有效特征以降低数据集维度的过程，是提高算法性能的一个重要手段，也是模式识别中关键的数据预处理步骤。<blockquote><p>模式识别（pattern recognition）: 模式识别是最古老的（作为一个术语而言，可以说是很过时的）。</p><ul><li>我们把环境与客体统称为“模式”，识别是对模式的一种认知，是如何让一个计算机程序去做一些看起来很“智能”的事情。</li><li>通过融于智慧和直觉后，通过构建程序，识别一些事物，而不是人，例如: 识别数字。</li></ul></blockquote></li><li>特征提取 —— 特征提取是计算机视觉和图像处理中的一个概念。它指的是使用计算机提取图像信息，决定每个图像的点是否属于一个图像特征。特征提取的结果是把图像上的点分为不同的子集，这些子集往往属于孤立的点，连续的曲线或者连续的区域。</li></ul><p>下面给出特征工程的图：<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://cdn.jsdelivr.net/gh/nova1751/sources/postImg/ml_add_2.jpg></p><blockquote><p>本文内容参考自<a target=_blank rel="noopener external nofollow noreferrer" href=https://ailearning.apachecn.org/#/docs/ml/1>AIlearning</a>，想了解更多细节推荐阅读原文，项目地址为<a target=_blank rel="noopener external nofollow noreferrer" href=https://github.com/apachecn/AiLearning>Github</a></p></blockquote></article><div class=post-copyright><div class=post-copyright__author><span 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toc-level-2"><a class=toc-link href=#%E5%BC%BA%E5%8C%96%E5%AD%A6%E4%B9%A0><span class=toc-number>4.</span> <span class=toc-text>强化学习</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E7%AE%97%E6%B3%95%E6%B1%87%E6%80%BB><span class=toc-number>5.</span> <span class=toc-text>算法汇总</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0%E7%9A%84%E4%BD%BF%E7%94%A8><span class=toc-number>6.</span> <span class=toc-text>机器学习的使用</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0%E5%9F%BA%E7%A1%80%E6%A6%82%E5%BF%B5%E8%A1%A5%E5%85%85><span class=toc-number>7.</span> <span class=toc-text>机器学习基础概念补充</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0%E5%9F%BA%E6%9C%AC%E6%9C%AF%E8%AF%AD><span class=toc-number>7.1.</span> <span class=toc-text>机器学习基本术语</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%95%B0%E6%8D%AE%E9%9B%86%E7%9A%84%E5%88%92%E5%88%86><span class=toc-number>7.2.</span> <span class=toc-text>数据集的划分</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%A8%A1%E5%9E%8B%E6%8B%9F%E5%90%88%E7%A8%8B%E5%BA%A6><span class=toc-number>7.3.</span> <span class=toc-text>模型拟合程度</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%B8%B8%E8%A7%81%E7%9A%84%E6%A8%A1%E5%9E%8B%E6%8C%87%E6%A0%87><span class=toc-number>7.4.</span> <span class=toc-text>常见的模型指标</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E6%A8%A1%E5%9E%8B><span class=toc-number>7.5.</span> <span class=toc-text>模型</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E7%89%B9%E5%BE%81%E5%B7%A5%E7%A8%8B%E7%9A%84%E4%B8%80%E4%BA%9B%E7%BB%86%E8%8A%82><span class=toc-number>8.</span> <span class=toc-text>特征工程的一些细节</span></a></li></ol></div></div><div class="card-widget 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id=rightside><div id=rightside-config-hide><button id=readmode type=button title=阅读模式><i class="fas fa-book-open"></i></button><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button class=close id=mobile-toc-button type=button title=目录><i class="fas fa-list-ul"></i></button><a id=to_comment href=#post-comment title=直达评论><i class="fas fa-comments"></i></a><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script 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+    chtml: {
+      scale: 1.1
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+    options: {
+      renderActions: {
+        findScript: [10, doc => {
+          for (const node of document.querySelectorAll('script[type^="math/tex"]')) {
+            const display = !!node.type.match(/; *mode=display/)
+            const math = new doc.options.MathItem(node.textContent, doc.inputJax[0], display)
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+            doc.math.push(math)
+          }
+        }, '']
+      }
+    }
+  }
+  
+  const script = document.createElement('script')
+  script.src = 'https://cdn.jsdelivr.net/npm/mathjax/es5/tex-mml-chtml.min.js'
+  script.id = 'MathJax-script'
+  script.async = true
+  document.head.appendChild(script)
+} else {
+  MathJax.startup.document.state(0)
+  MathJax.texReset()
+  MathJax.typesetPromise()
+}</script><script>(()=>{
+  const init = () => {
+    twikoo.init(Object.assign({
+      el: '#twikoo-wrap',
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      onCommentLoaded: function () {
+        btf.loadLightbox(document.querySelectorAll('#twikoo .tk-content img:not(.tk-owo-emotion)'))
+      }
+    }, null))
+  }
+
+  const getCount = () => {
+    const countELement = document.getElementById('twikoo-count')
+    if(!countELement) return
+    twikoo.getCommentsCount({
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      urls: [window.location.pathname],
+      includeReply: false
+    }).then(function (res) {
+      countELement.textContent = res[0].count
+    }).catch(function (err) {
+      console.error(err);
+    });
+  }
+
+  const runFn = () => {
+    init()
+    
+  }
+
+  const loadTwikoo = () => {
+    if (typeof twikoo === 'object') {
+      setTimeout(runFn,0)
+      return
+    } 
+    getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runFn)
+  }
+
+  if ('Twikoo' === 'Twikoo' || !true) {
+    if (true) btf.loadComment(document.getElementById('twikoo-wrap'), loadTwikoo)
+    else loadTwikoo()
+  } else {
+    window.loadOtherComment = () => {
+      loadTwikoo()
+    }
+  }
+})()</script></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/posts/775eb342/index.html b/posts/775eb342/index.html
new file mode 100644
index 000000000..05074282f
--- /dev/null
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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>使用Numpy实现k-Nearest-Neighbor算法</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2022-08-14T06:08:58.000Z title="发表于 2022-08-14 14:08:58">2022-08-14</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2022-08-14T06:08:58.000Z title="更新于 2022-08-14 14:08:58">2022-08-14</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>1.3k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>4分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=使用Numpy实现k-Nearest-Neighbor算法><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><h2 id=KNN-算法基本原理><a href=#KNN-算法基本原理 class=headerlink title="KNN 算法基本原理"></a>KNN 算法基本原理</h2><p><strong>kNN 算法的核心思想是用距离最近的 k 个样本数据的分类来代表目标数据的分类。</strong> 用俗话来说就是 <em>“近朱者赤，近墨者黑”</em>，采用距离最近的 k 个样本中占比最高的类别来代表测试数据的类别。</p><blockquote><p><em>注意 KNN 算法仍然是有监督学习算法的一种</em></p></blockquote><h2 id=KNN-算法的特点><a href=#KNN-算法的特点 class=headerlink title="KNN 算法的特点"></a>KNN 算法的特点</h2><ul><li>优点：<ol><li>监督学习：可以看到，kNN 算法首先需要一个<strong>训练样本集</strong>，这个集合中含有<strong>分类信息</strong>，因此它属于<strong>监督学习</strong>。</li><li>通过计算距离来衡量样本之间相似度，算法简单，易于理解和实现。</li><li>对异常值不敏感</li></ol></li><li>缺点：<ol><li>需要设定 k 值，结果会受到 k 值的影响，不同的 k 值，最后得到的分类结果不尽相同。<strong>k 一般不超过 20</strong>。</li><li>计算量大，需要计算样本集中每个样本的距离，才能得到 k 个最近的数据样本。</li><li>训练样本集不平衡导致结果不准确问题。当样本集中主要是某个分类，该分类数量太大，导致近邻的 k 个样本总是该类，而不接近目标分类。</li></ol></li></ul><h2 id=KNN-算法的流程><a href=#KNN-算法的流程 class=headerlink title="KNN 算法的流程"></a>KNN 算法的流程</h2><blockquote><p>一般情况下，kNN 有如下流程：</p><ol><li>收集数据：确定训练样本集合测试数据；</li><li>计算测试数据和训练样本集中每个样本数据的距离；</li></ol><ul><li>常用的距离计算公式：</li></ul></blockquote><p>欧式距离计算公式：<script type=math/tex>d(x,y)=\sqrt {\displaystyle\sum*{i=1}^n (x_i - y_i)^2}</script><br>曼哈顿距离公式：<script type=math/tex>d(x,y)= \displaystyle\sum*{i=1}^n |x_i - y_i|</script></p><blockquote><ol><li>按照距离递增的顺序排序；</li><li>选取距离最近的 k 个点(这个 k 一般小于等于 20)；</li><li>确定这 k 个点中分类信息的频率；</li><li>返回前 k 个点中出现频率最高的分类，作为当前测试数据的分类。</li></ol></blockquote><h2 id=python-算法实现><a href=#python-算法实现 class=headerlink title="python 算法实现"></a>python 算法实现</h2><blockquote><p>开发的基本流程如下：</p><ul><li>收集数据: 提供文本文件</li><li>准备数据: 使用 Python 解析文本文件</li><li>分析数据: 使用 Matplotlib 画二维散点图</li><li>训练算法: 此步骤不适用于 k-近邻算法</li><li>测试算法: 使用海伦提供的部分数据作为测试样本。</li></ul></blockquote><p>测试样本和非测试样本的区别在于:<br>测试样本是已经完成分类的数据，如果预测分类与实际类别不同，则标记为一个错误。</p><blockquote><ul><li>使用算法: 产生简单的命令行程序，然后海伦可以输入一些特征数据以判断对方是否为自己喜欢的类型。</li></ul></blockquote><ol><li>KNN 算法分类器函数</li></ol><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br></pre></td><td class=code><pre><span class=line><span class=comment># 定义KNN算法分类器函数</span></span><br><span class=line><span class=comment># 函数参数包括: (测试数据, 训练数据, 分类, k值)</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">classify</span>(<span class=params>inX, dataSet, labels, k</span>):</span><br><span class=line>    dataSetSize = dataSet.shape[<span class=number>0</span>]  <span class=comment># 读取矩阵有几层数据</span></span><br><span class=line>    diffMat = tile(inX, (dataSetSize, <span class=number>1</span>)) - dataSet  <span class=comment># 将测试数据转化为数值相同的行向量,再与训练集作差</span></span><br><span class=line>    sqDiffMat = diffMat ** <span class=number>2</span></span><br><span class=line>    sqDistances = sqDiffMat.<span class=built_in>sum</span>(axis=<span class=number>1</span>)  <span class=comment># axis=1 按行相加;axis=0 按列相加</span></span><br><span class=line>    distances = sqDistances ** <span class=number>0.5</span>  <span class=comment># 计算欧式距离</span></span><br><span class=line>    sortedDistIndicies = distances.argsort()  <span class=comment># 排序并返回index,注意此处返回的是索引而不是具体值!</span></span><br><span class=line>    <span class=comment># 选择距离最近的k个值</span></span><br><span class=line>    classCount = &#123;&#125;</span><br><span class=line>    <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(k):</span><br><span class=line>        voteIlabel = labels[sortedDistIndicies[i]]</span><br><span class=line>        classCount[voteIlabel] = classCount.get(voteIlabel, <span class=number>0</span>) + <span class=number>1</span>  <span class=comment># get()相当于将其赴初值0然后加1</span></span><br><span class=line>    <span class=comment># 排序</span></span><br><span class=line>    sortedClassCount = <span class=built_in>sorted</span>(classCount.items(), key=operator.itemgetter(<span class=number>1</span>), reverse=<span class=literal>True</span>) <span class=comment># items()返回一个元组,operator.itemgetter()按照value排序</span></span><br><span class=line>    <span class=keyword>return</span> sortedClassCount[<span class=number>0</span>][<span class=number>0</span>] <span class=comment>#返回标签</span></span><br></pre></td></tr></table></figure><ol><li>定义生成训练样本集的函数</li></ol><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">createDataSet</span>():</span><br><span class=line>    group = array([[<span class=number>1</span>, <span class=number>1.1</span>], [<span class=number>1</span>, <span class=number>1</span>], [<span class=number>0</span>, <span class=number>0</span>], [<span class=number>0</span>, <span class=number>0.1</span>]])</span><br><span class=line>    labels = [<span class=string>&#x27;A&#x27;</span>, <span class=string>&#x27;A&#x27;</span>, <span class=string>&#x27;B&#x27;</span>, <span class=string>&#x27;B&#x27;</span>]</span><br><span class=line>    <span class=keyword>return</span> group, labels</span><br></pre></td></tr></table></figure><ol><li>定义主函数运行代码</li></ol><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>def</span> <span class="title function_">main</span>():</span><br><span class=line>    group, labels = createDataSet()</span><br><span class=line>    <span class=built_in>print</span>(classify([<span class=number>0</span>, <span class=number>0</span>], group, labels, <span class=number>3</span>))</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>if</span> __name__ == <span class=string>&#x27;__main__&#x27;</span>:</span><br><span class=line>    main()</span><br></pre></td></tr></table></figure><h2 id=完整源代码><a href=#完整源代码 class=headerlink title=完整源代码></a>完整源代码</h2><figure class="highlight python"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br></pre></td><td class=code><pre><span class=line><span class=comment>#!/user/bin/env python3</span></span><br><span class=line><span class=comment># -*- coding: utf-8 -*-</span></span><br><span class=line></span><br><span class=line><span class=keyword>from</span> numpy <span class=keyword>import</span> *</span><br><span class=line><span class=keyword>import</span> operator</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=comment># 定义KNN算法分类器函数</span></span><br><span class=line><span class=comment># 函数参数包括: (测试数据, 训练数据, 分类, k值)</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">classify</span>(<span class=params>inX, dataSet, labels, k</span>):</span><br><span class=line>    dataSetSize = dataSet.shape[<span class=number>0</span>]  <span class=comment># 读取矩阵有几层数据</span></span><br><span class=line>    diffMat = tile(inX, (dataSetSize, <span class=number>1</span>)) - dataSet  <span class=comment># 将测试数据转化为数值相同的行向量,再与训练集作差</span></span><br><span class=line>    sqDiffMat = diffMat ** <span class=number>2</span></span><br><span class=line>    sqDistances = sqDiffMat.<span class=built_in>sum</span>(axis=<span class=number>1</span>)  <span class=comment># axis=1 按行相加;axis=0 按列相加</span></span><br><span class=line>    distances = sqDistances ** <span class=number>0.5</span>  <span class=comment># 计算欧式距离</span></span><br><span class=line>    sortedDistIndicies = distances.argsort()  <span class=comment># 排序并返回index,注意此处返回的是索引而不是具体值!</span></span><br><span class=line>    <span class=comment># 选择距离最近的k个值</span></span><br><span class=line>    classCount = &#123;&#125;</span><br><span class=line>    <span class=keyword>for</span> i <span class=keyword>in</span> <span class=built_in>range</span>(k):</span><br><span class=line>        voteIlabel = labels[sortedDistIndicies[i]]</span><br><span class=line>        classCount[voteIlabel] = classCount.get(voteIlabel, <span class=number>0</span>) + <span class=number>1</span>  <span class=comment># get()相当于将其赴初值0然后加1</span></span><br><span class=line>    <span class=comment># 排序</span></span><br><span class=line>    sortedClassCount = <span class=built_in>sorted</span>(classCount.items(), key=operator.itemgetter(<span class=number>1</span>), reverse=<span class=literal>True</span>) <span class=comment># items()返回一个元组,operator.itemgetter()按照value排序</span></span><br><span class=line>    <span class=keyword>return</span> sortedClassCount[<span class=number>0</span>][<span class=number>0</span>] <span class=comment>#返回标签</span></span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=comment># 定义一个生成&quot;训练样本集&quot;的函数,包含特征和分类信息</span></span><br><span class=line><span class=keyword>def</span> <span class="title function_">createDataSet</span>():</span><br><span class=line>    group = array([[<span class=number>1</span>, <span class=number>1.1</span>], [<span class=number>1</span>, <span class=number>1</span>], [<span class=number>0</span>, <span class=number>0</span>], [<span class=number>0</span>, <span class=number>0.1</span>]])</span><br><span class=line>    labels = [<span class=string>&#x27;A&#x27;</span>, <span class=string>&#x27;A&#x27;</span>, <span class=string>&#x27;B&#x27;</span>, <span class=string>&#x27;B&#x27;</span>]</span><br><span class=line>    <span class=keyword>return</span> group, labels</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>def</span> <span class="title function_">main</span>():</span><br><span class=line>    group, labels = createDataSet()</span><br><span class=line>    <span class=built_in>print</span>(classify([<span class=number>0</span>, <span class=number>0</span>], group, labels, <span class=number>3</span>))</span><br><span class=line></span><br><span class=line></span><br><span class=line><span class=keyword>if</span> __name__ == <span class=string>&#x27;__main__&#x27;</span>:</span><br><span class=line>    main()</span><br></pre></td></tr></table></figure><blockquote><p>本文参考自 <a target=_blank rel="noopener external nofollow noreferrer" href=https://blog.csdn.net/moxigandashu/article/details/71169991>机器学习之 k-近邻（kNN）算法与 Python 实现</a></p></blockquote></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/775eb342/">http://refrain.cf/posts/775eb342/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" rel="external nofollow noreferrer" target=_blank>CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href=http://refrain.cf target=_blank>希亚的西红柿のBlog</a>！</span></div></div><div class=tag_share><div class=post-meta__tag-list><a class=post-meta__tags href="/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/">机器学习</a><a 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class="fas fa-stream"></i><span>目录</span><span class=toc-percentage></span></div><div class=toc-content><ol class=toc><li class="toc-item toc-level-2"><a class=toc-link href=#KNN-%E7%AE%97%E6%B3%95%E5%9F%BA%E6%9C%AC%E5%8E%9F%E7%90%86><span class=toc-number>1.</span> <span class=toc-text>KNN 算法基本原理</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#KNN-%E7%AE%97%E6%B3%95%E7%9A%84%E7%89%B9%E7%82%B9><span class=toc-number>2.</span> <span class=toc-text>KNN 算法的特点</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#KNN-%E7%AE%97%E6%B3%95%E7%9A%84%E6%B5%81%E7%A8%8B><span class=toc-number>3.</span> <span class=toc-text>KNN 算法的流程</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#python-%E7%AE%97%E6%B3%95%E5%AE%9E%E7%8E%B0><span class=toc-number>4.</span> <span class=toc-text>python 算法实现</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%AE%8C%E6%95%B4%E6%BA%90%E4%BB%A3%E7%A0%81><span 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fa-comment-dots"></i><span>留言板</span></a></div></div><div id=toggle-menu><a class=site-page href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-bars fa-fw"></i></a></div></div></nav><div id=post-info><h1 class=post-title>JAVA学习笔记</h1><div id=post-meta><div class=meta-firstline><span class=post-meta-date><i class="far fa-calendar-alt fa-fw post-meta-icon"></i><span class=post-meta-label>发表于</span><time class=post-meta-date-created datetime=2023-01-17T06:44:22.000Z title="发表于 2023-01-17 14:44:22">2023-01-17</time><span class=post-meta-separator>|</span><i class="fas fa-history fa-fw post-meta-icon"></i><span class=post-meta-label>更新于</span><time class=post-meta-date-updated datetime=2023-03-07T06:44:22.000Z title="更新于 2023-03-07 14:44:22">2023-03-07</time></span><span class=post-meta-categories><span class=post-meta-separator>|</span><i class="fas fa-inbox fa-fw post-meta-icon"></i><a class=post-meta-categories href="/categories/Java/">Java</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>13.4k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>46分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=JAVA学习笔记><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><div class="tip home"><p>本篇文章将作为编程语言 <strong><span class="p red">JAVA</span></strong> 的学习笔记，供以后查阅与复习使用。</p></div><div class="tip info"><p>此 <strong><span class="p yellow">JAVA</span></strong> 学习笔记参考自 <strong><a target=_blank rel="noopener external nofollow noreferrer" href=https://www.runoob.com/java/java-tutorial.html>菜鸟 JAVA 教程</a></strong> 。</p></div><div class="tip key"><p>本学习笔记以 <strong>查询和复习</strong> 为主要功能，文章内容应 <strong>短小精悍</strong> 。</p></div><h2 id=Java-主要特性><a href=#Java-主要特性 class=headerlink title="Java 主要特性"></a>Java 主要特性</h2><details class=folding-tag green><summary>查看Java 主要特性</summary><div class=content><div class="note info flat"><p>关于 Java 特性的介绍的文字可能比较多<psw>emm。。。主要因为我是照搬的</psw>，不过只需要简单了解，但需要特别注意的是 Java 与 C++的一个重要区别为 Java 不使用指针而是引用，这对后面理解 Java 程序有很大的帮助。</p></div><ul><li><strong>Java 语言是简单的：</strong><br>Java 语言的语法与 C 语言和 C++ 语言很接近，使得大多数程序员很容易学习和使用。另一方面，Java 丢弃了 C++ 中很少使用的、很难理解的、令人迷惑的那些特性，如操作符重载、多继承、自动的强制类型转换。特别地，Java 语言不使用指针，而是引用。并提供了自动分配和回收内存空间，使得程序员不必为内存管理而担忧。</li><li><strong>Java 语言是面向对象的：</strong><br>Java 语言提供类、接口和继承等面向对象的特性，为了简单起见，只支持类之间的单继承，但支持接口之间的多继承，并支持类与接口之间的实现机制（关键字为 implements）。Java 语言全面支持动态绑定，而 C++语言只对虚函数使用动态绑定。总之，Java 语言是一个纯的面向对象程序设计语言。</li><li><strong>Java 语言是分布式的：</strong><br>Java 语言支持 Internet 应用的开发，在基本的 Java 应用编程接口中有一个网络应用编程接口（java net），它提供了用于网络应用编程的类库，包括 URL、URLConnection、Socket、ServerSocket 等。Java 的 RMI（远程方法激活）机制也是开发分布式应用的重要手段。</li><li><strong>Java 语言是健壮的：</strong><br>Java 的强类型机制、异常处理、垃圾的自动收集等是 Java 程序健壮性的重要保证。对指针的丢弃是 Java 的明智选择。Java 的安全检查机制使得 Java 更具健壮性。</li><li><strong>Java 语言是安全的：</strong><br>Java 通常被用在网络环境中，为此，Java 提供了一个安全机制以防恶意代码的攻击。除了 Java 语言具有的许多安全特性以外，Java 对通过网络下载的类具有一个安全防范机制（类 ClassLoader），如分配不同的名字空间以防替代本地的同名类、字节代码检查，并提供安全管理机制（类 SecurityManager）让 Java 应用设置安全哨兵。</li><li><strong>Java 语言是体系结构中立的：</strong><br>Java 程序（后缀为 java 的文件）在 Java 平台上被编译为体系结构中立的字节码格式（后缀为 class 的文件），然后可以在实现这个 Java 平台的任何系统中运行。这种途径适合于异构的网络环境和软件的分发。</li><li><strong>Java 语言是可移植的：</strong><br>这种可移植性来源于体系结构中立性，另外，Java 还严格规定了各个基本数据类型的长度。Java 系统本身也具有很强的可移植性，Java 编译器是用 Java 实现的，Java 的运行环境是用 ANSI C 实现的。</li><li><strong>Java 语言是解释型的：</strong><br>如前所述，Java 程序在 Java 平台上被编译为字节码格式，然后可以在实现这个 Java 平台的任何系统中运行。在运行时，Java 平台中的 Java 解释器对这些字节码进行解释执行，执行过程中需要的类在联接阶段被载入到运行环境中。</li><li><strong>Java 是高性能的：</strong><br>与那些解释型的高级脚本语言相比，Java 的确是高性能的。事实上，Java 的运行速度随着 JIT(Just-In-Time）编译器技术的发展越来越接近于 C++。</li><li><strong>Java 语言是多线程的：</strong><br>在 Java 语言中，线程是一种特殊的对象，它必须由 Thread 类或其子（孙）类来创建。通常有两种方法来创建线程：其一，使用型构为 Thread(Runnable) 的构造子类将一个实现了 Runnable 接口的对象包装成一个线程，其二，从 Thread 类派生出子类并重写 run 方法，使用该子类创建的对象即为线程。值得注意的是 Thread 类已经实现了 Runnable 接口，因此，任何一个线程均有它的 run 方法，而 run 方法中包含了线程所要运行的代码。线程的活动由一组方法来控制。Java 语言支持多个线程的同时执行，并提供多线程之间的同步机制（关键字为 synchronized）。</li><li><strong>Java 语言是动态的：</strong><br>Java 语言的设计目标之一是适应于动态变化的环境。Java 程序需要的类能够动态地被载入到运行环境，也可以通过网络来载入所需要的类。这也有利于软件的升级。另外，Java 中的类有一个运行时刻的表示，能进行运行时刻的类型检查。</li></ul></div></details><h2 id=Java-基础语法><a href=#Java-基础语法 class=headerlink title="Java 基础语法"></a>Java 基础语法</h2><details class=folding-tag green><summary>查看Java 基础语法</summary><div class=content><div class="tip warning faa-horizontal animated"><p>此处对 Java 的基础语法只作简单的介绍，以便对 Java 语法有一个整体的印象，Java 语法的详细讲解在后面相应部分。</p></div><div class="note primary flat"><p>一个 Java 程序可以认为是一系列对象的集合，而这些对象通过调用彼此的方法来协同工作。下面简要介绍下类、对象、方法和实例变量的概念。</p></div><ul><li><strong>对象：</strong>对象是类的一个实例，有状态和行为。例如狗是一个类，而小狗包弟是类的一个实例。</li><li><strong>类：</strong>类是一个模板，它描述一类对象的行为和状态。</li><li><strong>方法：</strong>方法就是行为，一个类可以有很多方法。逻辑运算、数据修改以及所有动作都是在方法中完成的。</li><li><strong>实例变量：</strong>每个对象都有独特的实例变量，对象的状态由这些实例变量的值决定。</li></ul><div class="note blue icon-padding flat"><i class="note-icon fas fa-bullhorn"></i><p>第一个 Java 程序，分析主函数的构成</p></div><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">HelloWorld</span> &#123;</span><br><span class=line>    <span class=comment>/* 第一个Java程序</span></span><br><span class=line><span class=comment>     * 它将输出字符串 Hello World</span></span><br><span class=line><span class=comment>     */</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        System.out.println(<span class=string>&quot;Hello World&quot;</span>); <span class=comment>// 输出 Hello World</span></span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20230117210856.png alt=主函数语句的构成></p><p><span class="p center logo h3">基本语法</span></p><p>编写 Java 程序时应注意一下几点：</p><ul><li><strong>大小写敏感：</strong>Java 是大小写敏感的，这就意味着标识符 <code>Hello</code> 与 <code>hello</code> 是不同的。</li><li><strong>类名：</strong>对于所有的类来说，类名的首字母应该大写。如果类名由若干单词组成，那么每个单词的首字母应该大写，例如 <code>MyFirstJavaClass</code> 。</li><li><strong>方法名：</strong>所有的方法名都应该以小写字母开头。如果方法名含有若干单词，则后面的每个单词首字母大写。</li><li><strong>源文件名：</strong>源文件名必须和类名相同。当保存文件的时候，你应该使用类名作为文件名保存（切记 Java 是大小写敏感的），文件名的后缀为 <strong>.java</strong> 。（如果文件名和类名不相同则会导致编译错误）。</li><li><strong>主方法入口：</strong>所有的 Java 程序由 <code>public static void main(String[] args)</code> 方法开始执行。</li></ul><p><span class="p center logo h3">Java标识符</span></p><div class="note primary flat"><p>Java 所有的组成部分都需要名字。类名、变量名以及方法名都被称为标识符。</p></div><p>关于 Java 标识符，有以下几点需要注意：</p><ul><li>所有的标识符都应该以字母（A-Z 或者 a-z）,美元符（$）、或者下划线（_）开始</li><li>首字符之后可以是字母（A-Z 或者 a-z）,美元符（$）、下划线（_）或数字的任何字符组合</li><li>关键字不能用作标识符</li><li>标识符是大小写敏感的</li><li>合法标识符举例：age、$salary、_value、__1_value</li><li>非法标识符举例：123abc、-salary</li></ul><div class="note success flat"><p>一言蔽之：即标识符可由字母，美元符，下划线和数字组成，其中数字不能放在标识符的开头。</p></div><p><span class="p center logo h3">Java修饰符</span><br>像其他语言一样，Java 可以使用修饰符来修饰类中方法和属性。主要有两类修饰符：</p><ul><li><strong>访问控制修饰符 :</strong> <code>default</code>, <code>public</code>, <code>protected</code>, <code>private</code></li><li><strong>非访问控制修饰符 :</strong><code>final</code>, <code>abstract</code>, <code>static</code>, <code>synchronized</code></li></ul><p><span class="p center logo h3">Java变量</span><br>Java 中主要有如下几种类型的变量</p><ul><li>局部变量</li><li>类变量（静态变量）</li><li>成员变量（非静态变量）</li></ul><p><span class="p center logo h3">Java数组</span><br>数组是储存在堆上的对象，可以保存多个同类型变量。在后面的章节中，我们将会学到如何声明、构造以及初始化一个数组。<br><span class="p center logo h3">Java枚举</span></p><p><div class="note info flat"><p>Java 5.0 引入了枚举，枚举限制变量只能是预先设定好的值。使用枚举可以减少代码中的 bug。</p></div><br>例如，我们为果汁店设计一个程序，它将限制果汁为小杯、中杯、大杯。这就意味着它不允许顾客点除了这三种尺寸外的果汁。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>class</span> <span class="title class_">FreshJuice</span> &#123;</span><br><span class=line>   <span class=keyword>enum</span> <span class="title class_">FreshJuiceSize</span>&#123; SMALL, MEDIUM , LARGE &#125;</span><br><span class=line>   FreshJuiceSize size;</span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">FreshJuiceTest</span> &#123;</span><br><span class=line>   <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span>&#123;</span><br><span class=line>      <span class=type>FreshJuice</span> <span class=variable>juice</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">FreshJuice</span>();</span><br><span class=line>      juice.size = FreshJuice.FreshJuiceSize.MEDIUM  ;</span><br><span class=line>   &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><div class="note warning flat"><p>注意：枚举可以单独声明或者声明在类里面。方法、变量、构造函数也可以在枚举中定义。</p></div><br><span class="p center logo h3">Java关键字</span><br>下面列出了 Java 关键字。这些保留字不能用于常量、变量、和任何标识符的名称。</p><table class=reference><tbody><tr><th>类别</th><th>关键字</th><th>说明</th></tr><tr><td rowspan=4 align=center>访问控制</td><td>private</td><td>私有的</td></tr><tr><td>protected</td><td>受保护的</td></tr><tr><td>public</td><td>公共的</td></tr><tr><td>default</td><td>默认</td></tr><tr><td rowspan=13 align=center>类、方法和变量修饰符</td><td>abstract</td><td>声明抽象</td></tr><tr><td>class</td><td>类</td></tr><tr><td>extends</td><td>扩充,继承</td></tr><tr><td>final</td><td>最终值,不可改变的</td></tr><tr><td>implements</td><td>实现（接口）</td></tr><tr><td>interface</td><td>接口</td></tr><tr><td>native</td><td>本地，原生方法（非 Java 实现）</td></tr><tr><td>new</td><td>新,创建</td></tr><tr><td>static</td><td>静态</td></tr><tr><td>strictfp</td><td>严格,精准</td></tr><tr><td>synchronized</td><td>线程,同步</td></tr><tr><td>transient</td><td>短暂</td></tr><tr><td>volatile</td><td>易失</td></tr><tr><td rowspan=11 align=center>程序控制语句</td><td>break</td><td>跳出循环</td></tr><tr><td>case</td><td>定义一个值以供 switch 选择</td></tr><tr><td>continue</td><td>继续</td></tr><tr><td>do</td><td>运行</td></tr><tr><td>else</td><td>否则</td></tr><tr><td>for</td><td>循环</td></tr><tr><td>if</td><td>如果</td></tr><tr><td>instanceof</td><td>实例</td></tr><tr><td>return</td><td>返回</td></tr><tr><td>switch</td><td>根据值选择执行</td></tr><tr><td>while</td><td>循环</td></tr><tr><td rowspan=6 align=center>错误处理</td><td>assert</td><td>断言表达式是否为真</td></tr><tr><td>catch</td><td>捕捉异常</td></tr><tr><td>finally</td><td>有没有异常都执行</td></tr><tr><td>throw</td><td>抛出一个异常对象</td></tr><tr><td>throws</td><td>声明一个异常可能被抛出</td></tr><tr><td>try</td><td>捕获异常</td></tr><tr><td rowspan=2 align=center>包相关</td><td>import</td><td>引入</td></tr><tr><td>package</td><td>包</td></tr><tr><td rowspan=8 align=center>基本类型</td><td>boolean</td><td>布尔型</td></tr><tr><td>byte</td><td>字节型</td></tr><tr><td>char</td><td>字符型</td></tr><tr><td>double</td><td>双精度浮点</td></tr><tr><td>float</td><td>单精度浮点</td></tr><tr><td>int</td><td>整型</td></tr><tr><td>long</td><td>长整型</td></tr><tr><td>short</td><td>短整型</td></tr><tr><td rowspan=3 align=center>变量引用</td><td>super</td><td>父类,超类</td></tr><tr><td>this</td><td>本类</td></tr><tr><td>void</td><td>无返回值</td></tr><tr><td rowspan=3 align=center>保留关键字</td><td>goto</td><td>是关键字，但不能使用</td></tr><tr><td>const</td><td>是关键字，但不能使用</td></tr></tbody></table><p><div class="note warning flat"><p>注意：Java 的 null 不是关键字，类似于 true 和 false，它是一个字面常量，不允许作为标识符使用。</p></div><br><span class="p center logo h3">Java注释</span><br>类似于 C/C++、Java 也支持单行以及多行注释。注释中的字符将被 Java 编译器忽略。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">HelloWorld</span> &#123;</span><br><span class=line>   <span class=comment>/* 这是第一个Java程序</span></span><br><span class=line><span class=comment>    * 它将输出 Hello World</span></span><br><span class=line><span class=comment>    * 这是一个多行注释的示例</span></span><br><span class=line><span class=comment>    */</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span>&#123;</span><br><span class=line>       <span class=comment>// 这是单行注释的示例</span></span><br><span class=line>       <span class=comment>/* 这个也是单行注释的示例 */</span></span><br><span class=line>       System.out.println(<span class=string>&quot;Hello World&quot;</span>);</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">Java空行</span><br>空白行或者有注释的行，Java 编译器都会忽略掉。<br><span class="p center logo h3">继承</span><br>在 Java 中，一个类可以由其他类派生。如果你要创建一个类，而且已经存在一个类具有你所需要的属性或方法，那么你可以将新创建的类继承该类。</p><p>利用继承的方法，可以重用已存在类的方法和属性，而不用重写这些代码。被继承的类称为超类（super class），派生类称为子类（sub class）。<br><span class="p center logo h3">接口</span><br>在 Java 中，接口可理解为对象间相互通信的协议。接口在继承中扮演着很重要的角色。<br>接口只定义派生要用到的方法，但是方法的具体实现完全取决于派生类。<br><span class="p center logo h3">Java源程序与编译型运行区别</span><br>区别如下图所示：<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20230117213751.png alt=JAVA源程序与编译型运行区别></p></div></details><h2 id=Java-对象和类><a href=#Java-对象和类 class=headerlink title="Java 对象和类"></a>Java 对象和类</h2><details class=folding-tag green><summary>查看Java 对象和类</summary><div class=content><p><span class="p center logo h3">对象和类的定义</span></p><ul><li><strong>类（class）：</strong>类是一个模板，它描述一类对象的行为和状态。</li><li><strong>对象（object）：</strong>对象是类的一个实例，有状态和行为。</li></ul><p>一个类可以包含以下类型的变量：</p><ul><li><strong>局部变量：</strong>在方法、构造方法或者语句块中定义的变量被称为局部变量。变量声明和初始化都是在方法中，方法结束后，变量就会自动销毁。</li><li><strong>成员变量：</strong>成员变量是定义在类中，方法体之外的变量。这种变量在创建对象的时候实例化。成员变量可以被类中方法、构造方法和特定类的语句块访问。</li><li><strong>类变量：</strong>类变量也声明在类中，方法体之外，但必须声明为 <strong>static</strong> 类型。</li></ul><p><div class="note info flat"><p>语句块：用一对{}包括起来的有着相同的变量作用域的相关一组语句的集合。</p></div><br><span class="p center logo h3">构造方法</span></p><p><div class="note success flat"><p>每个类都有构造方法。如果没有显式地为类定义构造方法，Java 编译器将会为该类提供一个默认构造方法。<br>在创建一个对象的时候，至少要调用一个构造方法。构造方法的名称必须与类同名，一个类可以有多个构造方法。</p></div><br>下面是一个构造方法示例：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">Puppy</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">Puppy</span><span class=params>()</span> &#123;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">Puppy</span><span class=params>(String name)</span> &#123;</span><br><span class=line>        <span class=comment>// 这个构造器仅有一个参数：name</span></span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">创建对象</span></p><p>对象是根据类创建的。在 Java 中，使用关键字 new 来创建一个新的对象。创建对象需要以下三步：</p><ul><li><strong>声明：</strong>声明一个对象，包括对象名称和对象类型。</li><li><strong>实例化：</strong>使用关键字 new 来创建一个对象。</li><li><strong>初始化：</strong>使用 <strong>new</strong> 创建对象时，会调用构造方法初始化对象。</li></ul><p>下面是一个创建对象的例子：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">Puppy</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class="title function_">Puppy</span><span class=params>(String name)</span> &#123;</span><br><span class=line>        <span class=comment>// 这个构造器仅有一个参数：name</span></span><br><span class=line>        System.out.println(<span class=string>&quot;小狗的名字是 : &quot;</span> + name);</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        <span class=comment>// 下面的语句将创建一个Puppy对象</span></span><br><span class=line>        <span class=type>Puppy</span> <span class=variable>myPuppy</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Puppy</span>(<span class=string>&quot;tommy&quot;</span>);</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p>输出结果为：</p><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line>小狗的名字是 : tommy</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">访问实例变量和方法</span><br>通过已创建的对象来访问成员变量和成员方法，如下所示：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br></pre></td><td class=code><pre><span class=line><span class=comment>/* 实例化对象 */</span></span><br><span class=line><span class=type>Object</span> <span class=variable>referenceVariable</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Constructor</span>();</span><br><span class=line><span class=comment>/* 访问类中的变量 */</span></span><br><span class=line>referenceVariable.variableName;</span><br><span class=line><span class=comment>/* 访问类中的方法 */</span></span><br><span class=line>referenceVariable.methodName();</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">源文件声明规则</span><br>在本节的最后部分，我们将学习源文件的声明规则。当在一个源文件中定义多个类，并且还有 import 语句和 package 语句时，要特别注意这些规则。</p><ul><li>一个源文件中只能有一个 public 类</li><li>一个源文件可以有多个非 public 类</li><li>源文件的名称应该和 public 类的类名保持一致。例如：源文件中 public 类的类名是 Employee，那么源文件应该命名为 Employee.java。</li><li>如果一个类定义在某个包中，那么 package 语句应该在源文件的首行。</li><li>如果源文件包含 import 语句，那么应该放在 package 语句和类定义之间。如果没有 package 语句，那么 import 语句应该在源文件中最前面。</li><li>import 语句和 package 语句对源文件中定义的所有类都有效。在同一源文件中，不能给不同的类不同的包声明。</li></ul><blockquote><p>类有若干种访问级别，并且类也分不同的类型：抽象类和 final 类等。这些将在访问控制章节介绍。<br>除了上面提到的几种类型，Java 还有一些特殊的类，如：<a target=_blank rel="noopener external nofollow noreferrer" href=https://www.runoob.com/java/java-inner-class.html>内部类</a>、<a target=_blank rel="noopener external nofollow noreferrer" href=https://www.runoob.com/java/java-anonymous-class.html>匿名类</a>。</p></blockquote><p><span class="p center logo h3">Java 包</span><br>包主要用来对类和接口进行分类。当开发 Java 程序时，可能编写成百上千的类，因此很有必要对类和接口进行分类。</p><p><span class="p center logo h3">import 语句</span><br>在 Java 中，如果给出一个完整的限定名，包括包名、类名，那么 Java 编译器就可以很容易地定位到源代码或者类。import 语句就是用来提供一个合理的路径，使得编译器可以找到某个类。<br>例如，下面的命令行将会命令编译器载入 java_installation/java/io 路径下的所有类</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>import</span> java.io.*;</span><br></pre></td></tr></table></figure></div></details><h2 id=Java-基本数据类型><a href=#Java-基本数据类型 class=headerlink title="Java 基本数据类型"></a>Java 基本数据类型</h2><details class=folding-tag green><summary>查看Java 基本数据类型</summary><div class=content><div class="note info flat"><p>变量就是申请内存来存储值。也就是说，当创建变量的时候，需要在内存中申请空间。<br>内存管理系统根据变量的类型为变量分配存储空间，分配的空间只能用来储存该类型数据。<br>Java 的两大数据类型:</p><ul><li>内置数据类型</li><li>引用数据类型</li></ul></div><p><span class="p center logo h3">内置数据类型</span><br>Java 语言提供了八种基本类型。六种数字类型（四个整数型，两个浮点型），一种字符类型，还有一种布尔型。</p><p><div class="note success flat"><p>1byte(字节)=8bit(比特)</p></div><br><strong>byte：</strong></p><ul><li>byte 数据类型是 8 位(1byte)、有符号的，以二进制补码表示的整数；</li><li>取值范围：<code>-128（-2^7）~127（2^7-1）</code>；</li><li>默认值是 <code>0</code>；</li></ul><p><strong>short：</strong></p><ul><li>short 数据类型是 16 位(2byte)、有符号的以二进制补码表示的整数；</li><li>取值范围：<code>-32768（-2^15）~32767（2^15 - 1）</code>；</li><li>默认值是 <code>0</code>；</li></ul><p><strong>int：</strong></p><ul><li>int 数据类型是 32 位(4byte)、有符号的以二进制补码表示的整数；</li><li>取值范围：<code>-2,147,483,648（-2^31）~2,147,483,647（2^31 - 1）</code></li><li>默认值是 <code>0</code>；</li></ul><p><strong>long：</strong></p><ul><li>long 数据类型是 64 位(8byte)、有符号的以二进制补码表示的整数；</li><li>取值范围：<code>-9,223,372,036,854,775,808（-2^63）~9,223,372,036,854,775,807（2^63 -1）</code>；</li><li>默认值是 <code>0L</code>；</li></ul><p><strong>float：</strong></p><ul><li>float 数据类型是单精度、32 位、符合 IEEE 754 标准的浮点数；</li><li>默认值是 <code>0.0f</code> ；</li><li>浮点数不能用来表示精确的值，如货币；</li></ul><p><strong>double：</strong></p><ul><li>double 数据类型是双精度、64 位、符合 IEEE 754 标准的浮点数；</li><li>浮点数的默认类型为 double 类型；</li><li>double 类型同样不能表示精确的值，如货币；</li><li>默认值是 <code>0.0d</code>；</li></ul><p><strong>boolean：</strong></p><ul><li>boolean 数据类型表示一位的信息；</li><li>只有两个取值：true 和 false；</li><li>这种类型只作为一种标志来记录 true/false 情况；</li><li>默认值是 <code>false</code> ；</li></ul><p><strong>char：</strong></p><ul><li>char 类型是一个单一的 16 位 Unicode 字符；</li><li>最小值是 <code>\u0000（十进制等效值为 0）</code> ；</li><li>最大值是 <code>\uffff（即为 65535）</code>；</li><li>char 数据类型可以储存任何字符；</li></ul><p><span class="p center logo h3">引用数据类型</span></p><p><div class="checkbox blue"><input type=radio><p>在Java中，引用类型的变量非常类似于C/C++的指针。引用类型指向一个对象，指向对象的变量是引用变量。这些变量在声明时被指定为一个特定的类型，比如 Employee、Puppy 等。变量一旦声明后，类型就不能被改变了。</p></div></p><p><div class="checkbox blue"><input type=radio><p>对象、数组都是引用数据类型。</p></div></p><p><div class="checkbox blue"><input type=radio><p>所有引用类型的默认值都是null。</p></div></p><p><div class="checkbox blue"><input type=radio><p>一个引用变量可以用来引用任何与之兼容的类型。</p></div><br>例子：<code>Site site = new Site(&quot;Runoob&quot;)。</code></p><p><span class="p center logo h3">Java 常量</span><br>常量在程序运行时是不能被修改的。<br>在 Java 中使用 final 关键字来修饰常量，声明方式和变量类似：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br></pre></td><td class=code><pre><span class=line><span class=comment>//虽然常量名也可以用小写，但为了便于识别，通常使用大写字母表示常量。</span></span><br><span class=line><span class=keyword>final</span> <span class=type>double</span> <span class=variable>PI</span> <span class=operator>=</span> <span class=number>3.1415927</span>;</span><br></pre></td></tr></table></figure><p>Java 语言支持一些特殊的转义字符序列。</p><table class=reference><tbody><tr><th>符号</th><th>字符含义</th></tr><tr><td>\n</td><td>换行 (0x0a)</td></tr><tr><td>\r</td><td>回车 (0x0d)</td></tr><tr><td>\f</td><td>换页符(0x0c)</td></tr><tr><td>\b</td><td>退格 (0x08)</td></tr><tr><td>\0</td><td>空字符 (0x0)</td></tr><tr><td>\s</td><td>空格 (0x20)</td></tr><tr><td>\t</td><td>制表符</td></tr><tr><td>\"</td><td>双引号</td></tr><tr><td>\'</td><td>单引号</td></tr><tr><td>\\</td><td>反斜杠</td></tr><tr><td>\ddd</td><td>八进制字符 (ddd)</td></tr><tr><td>\uxxxx</td><td>16进制Unicode字符 (xxxx)</td></tr></tbody></table><p><span class="p center logo h3">自动类型转换</span></p><p><strong>整型、实型（常量）、字符型数据可以混合运算。运算中，不同类型的数据先转化为同一类型，然后进行运算。</strong><br>转换从低级到高级。</p><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br></pre></td><td class=code><pre><span class=line>低  ------------------------------------&gt;  高</span><br><span class=line></span><br><span class=line>byte,short,char —&gt; int —&gt; long—&gt; float —&gt; double</span><br></pre></td></tr></table></figure><p><strong>数据类型转换必须满足如下规则：</strong></p><ul><li>不能对 boolean 类型进行类型转换。</li><li>不能把对象类型转换成不相关类的对象。</li><li>在把容量大的类型转换为容量小的类型时必须使用强制类型转换。</li><li>转换过程中可能导致溢出或损失精度，例如：</li></ul><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br></pre></td><td class=code><pre><span class=line><span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span> <span class=number>128</span>;</span><br><span class=line><span class=type>byte</span> <span class=variable>b</span> <span class=operator>=</span> (<span class=type>byte</span>)i;</span><br><span class=line><span class=comment>// 因为 byte 类型是 8 位，最大值为127，所以当 int 强制转换为 byte 类型时，值 128 时候就会导致溢出。</span></span><br></pre></td></tr></table></figure><ul><li>浮点数到整数的转换是通过舍弃小数得到，而不是四舍五入，例如：</li></ul><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br></pre></td><td class=code><pre><span class=line>(<span class=type>int</span>)<span class=number>23.7</span> == <span class=number>23</span>;</span><br><span class=line>(<span class=type>int</span>)-<span class=number>45.89f</span> == -<span class=number>45</span></span><br></pre></td></tr></table></figure><p><strong>自动类型转换</strong><br>必须满足转换前的数据类型的位数要低于转换后的数据类型，例如: short 数据类型的位数为 16 位，就可以自动转换位数为 32 的 int 类型，同样 float 数据类型的位数为 32，可以自动转换为 64 位的 double 类型。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">ZiDongLeiZhuan</span> &#123;</span><br><span class=line>        <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>            <span class=type>char</span> c1=<span class=string>&#x27;a&#x27;</span>;<span class=comment>//定义一个char类型</span></span><br><span class=line>            <span class=type>int</span> <span class=variable>i1</span> <span class=operator>=</span> c1;<span class=comment>//char自动类型转换为int</span></span><br><span class=line>            System.out.println(<span class=string>&quot;char自动类型转换为int后的值等于&quot;</span>+i1);</span><br><span class=line>            <span class=type>char</span> <span class=variable>c2</span> <span class=operator>=</span> <span class=string>&#x27;A&#x27;</span>;<span class=comment>//定义一个char类型</span></span><br><span class=line>            <span class=type>int</span> <span class=variable>i2</span> <span class=operator>=</span> c2+<span class=number>1</span>;<span class=comment>//char 类型和 int 类型计算</span></span><br><span class=line>            System.out.println(<span class=string>&quot;char类型和int计算后的值等于&quot;</span>+i2);</span><br><span class=line>        &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p>运行结果为：</p><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br></pre></td><td class=code><pre><span class=line>char自动类型转换为int后的值等于97</span><br><span class=line>char类型和int计算后的值等于66</span><br></pre></td></tr></table></figure><p><strong>强制类型转换</strong></p><ul><li>条件是转换的数据类型必须是兼容的。</li><li>格式：<code>(type)value</code> type 是要强制类型转换后的数据类型 实例：</li></ul><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">QiangZhiZhuanHuan</span>&#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span>&#123;</span><br><span class=line>        <span class=type>int</span> <span class=variable>i1</span> <span class=operator>=</span> <span class=number>123</span>;</span><br><span class=line>        <span class=type>byte</span> <span class=variable>b</span> <span class=operator>=</span> (<span class=type>byte</span>)i1;<span class=comment>//强制类型转换为byte</span></span><br><span class=line>        System.out.println(<span class=string>&quot;int强制类型转换为byte后的值等于&quot;</span>+b);</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p>运行结果：</p><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line>int强制类型转换为byte后的值等于123</span><br></pre></td></tr></table></figure><p><strong>隐含强制类型转换</strong></p><ul><li>整数的默认类型是 int。</li><li>小数默认是 double 类型浮点型，在定义 float 类型时必须在数字后面跟上 F 或者 f。</li></ul></div></details><h2 id=Java-变量类型><a href=#Java-变量类型 class=headerlink title="Java 变量类型"></a>Java 变量类型</h2><details class=folding-tag green><summary>查看Java 变量类型</summary><div class=content><div class="note primary flat"><p>在 Java 语言中，所有的变量在使用前必须声明。声明变量的基本格式如下：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line>type identifier [ = value][, identifier [= value] ...] ;</span><br></pre></td></tr></table></figure><p>以下列出了一些变量的声明实例。注意有些包含了初始化过程。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br></pre></td><td class=code><pre><span class=line><span class=type>int</span> a, b, c;         <span class=comment>// 声明三个int型整数：a、 b、c</span></span><br><span class=line><span class=type>int</span> <span class=variable>d</span> <span class=operator>=</span> <span class=number>3</span>, e = <span class=number>4</span>, f = <span class=number>5</span>; <span class=comment>// 声明三个整数并赋予初值</span></span><br></pre></td></tr></table></figure></div><div class="note default flat"><p>Java 语言支持的变量类型有：</p><ul><li>类变量：独立于方法之外的变量，用 static 修饰。</li><li>实例变量(成员变量)：独立于方法之外的变量，不过没有 static 修饰。</li><li>局部变量：类的方法中的变量。</li></ul><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">Variable</span>&#123;</span><br><span class=line>    <span class=keyword>static</span> <span class=type>int</span> allClicks=<span class=number>0</span>;    <span class=comment>// 类变量</span></span><br><span class=line></span><br><span class=line>    String str=<span class=string>&quot;hello world&quot;</span>;  <span class=comment>// 实例变量</span></span><br><span class=line></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">method</span><span class=params>()</span>&#123;</span><br><span class=line></span><br><span class=line>        <span class=type>int</span> <span class=variable>i</span> <span class=operator>=</span><span class=number>0</span>;  <span class=comment>// 局部变量</span></span><br><span class=line></span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure></div><p><span class="p center logo h3">Java 局部变量</span></p><ol><li>局部变量声明在方法、构造方法或者语句块中；</li><li>局部变量在方法、构造方法、或者语句块被执行的时候创建，当它们执行完成后，变量将会被销毁；</li><li>访问修饰符不能用于局部变量；</li><li>局部变量只在声明它的方法、构造方法或者语句块中可见；</li><li>局部变量是在栈上分配的；</li><li>局部变量没有默认值，所以局部变量被声明后，必须经过初始化，才可以使用。</li></ol><p><span class="p center logo h3">Java 实例变量</span></p><ol><li>实例变量声明在一个类中，但在方法、构造方法和语句块之外；</li><li>当一个对象被实例化之后，每个实例变量的值就跟着确定；</li><li>实例变量在对象创建的时候创建，在对象被销毁的时候销毁；</li><li>实例变量的值应该至少被一个方法、构造方法或者语句块引用，使得外部能够通过这些方式获取实例变量信息；</li><li>实例变量可以声明在使用前或者使用后；</li><li>访问修饰符可以修饰实例变量；</li><li>实例变量对于类中的方法、构造方法或者语句块是可见的。一般情况下应该把实例变量设为私有。通过使用访问修饰符可以使实例变量对子类可见；</li><li>实例变量具有默认值。数值型变量的默认值是 0，布尔型变量的默认值是 false，引用类型变量的默认值是 null。变量的值可以在声明时指定，也可以在构造方法中指定；</li><li>实例变量可以直接通过变量名访问。但在静态方法以及其他类中，就应该使用完全限定名： <code>ObjectReference.VariableName</code> 。</li></ol><p><span class="p center logo h3">Java 类变量（静态变量）</span></p><ol><li>类变量也称为静态变量，在类中以 static 关键字声明，但必须在方法之外。</li><li>无论一个类创建了多少个对象，类只拥有类变量的一份拷贝。</li><li>静态变量除了被声明为常量外很少使用，静态变量是指声明为 public/private，final 和 static 类型的变量。静态变量初始化后不可改变。</li><li>静态变量储存在静态存储区。经常被声明为常量，很少单独使用 static 声明变量。</li><li>静态变量在第一次被访问时创建，在程序结束时销毁。</li><li>与实例变量具有相似的可见性。但为了对类的使用者可见，大多数静态变量声明为 public 类型。</li><li>默认值和实例变量相似。数值型变量默认值是 0，布尔型默认值是 false，引用类型默认值是 null。变量的值可以在声明的时候指定，也可以在构造方法中指定。此外，静态变量还可以在静态语句块中初始化。</li><li>静态变量可以通过：ClassName.VariableName 的方式访问。</li><li>类变量被声明为 public static final 类型时，类变量名称一般建议使用大写字母。如果静态变量不是 public 和 final 类型，其命名方式与实例变量以及局部变量的命名方式一致。<br>实例：</li></ol><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>import</span> java.io.*;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">Employee</span> &#123;</span><br><span class=line>    <span class=comment>//salary是静态的私有变量</span></span><br><span class=line>    <span class=keyword>private</span> <span class=keyword>static</span> <span class=type>double</span> salary;</span><br><span class=line>    <span class=comment>// DEPARTMENT是一个常量</span></span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>final</span> <span class=type>String</span> <span class=variable>DEPARTMENT</span> <span class=operator>=</span> <span class=string>&quot;开发人员&quot;</span>;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span>&#123;</span><br><span class=line>    salary = <span class=number>10000</span>;</span><br><span class=line>        System.out.println(DEPARTMENT+<span class=string>&quot;平均工资:&quot;</span>+salary);</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p>运行结果：</p><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line>开发人员平均工资:10000.0</span><br></pre></td></tr></table></figure></div></details><h2 id=Java-修饰符><a href=#Java-修饰符 class=headerlink title="Java 修饰符"></a>Java 修饰符</h2><details class=folding-tag green><summary>查看Java 修饰符</summary><div class=content><div class="note primary flat"><p>Java 语言提供了很多修饰符，主要分为以下两类：</p><ul><li>访问修饰符</li><li>非访问修饰符</li></ul><p>修饰符用来定义类、方法或者变量，通常放在语句的最前端。我们通过下面的例子来说明：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">ClassName</span> &#123;</span><br><span class=line>   <span class=comment>// ...</span></span><br><span class=line>&#125;</span><br><span class=line><span class=keyword>private</span> <span class=type>boolean</span> myFlag;</span><br><span class=line><span class=keyword>static</span> <span class=keyword>final</span> <span class=type>double</span> <span class=variable>weeks</span> <span class=operator>=</span> <span class=number>9.5</span>;</span><br><span class=line><span class=keyword>protected</span> <span class=keyword>static</span> <span class=keyword>final</span> <span class=type>int</span> <span class=variable>BOXWIDTH</span> <span class=operator>=</span> <span class=number>42</span>;</span><br><span class=line><span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] arguments)</span> &#123;</span><br><span class=line>   <span class=comment>// 方法体</span></span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure></div><p><span class="p center logo h3">访问控制修饰符</span></p><div class="note success flat"><p>Java 支持 4 种不同的访问权限：<br><code>default &amp; public</code>:使用对象：类、接口、变量、方法。<br><code>private &amp; protected</code>:使用对象：变量、方法。(PS：不过二者都能修饰内部类)</p></div><p><span class="p center logo h4">访问控制</span></p><div class=table-container><table><thead><tr><th style=text-align:center>修饰符</th><th style=text-align:center>当前类</th><th style=text-align:center>同一包内</th><th style=text-align:center>子孙类（同一包）</th><th style=text-align:center>子孙类（不同包）</th><th style=text-align:center>其它包</th></tr></thead><tbody><tr><td style=text-align:center><code>public</code></td><td style=text-align:center>Y</td><td style=text-align:center>Y</td><td style=text-align:center>Y</td><td style=text-align:center>Y</td><td style=text-align:center>Y</td></tr><tr><td style=text-align:center><code>protected</code></td><td style=text-align:center>Y</td><td style=text-align:center>Y</td><td style=text-align:center>Y</td><td style=text-align:center>Y/N</td><td style=text-align:center>N</td></tr><tr><td style=text-align:center><code>default</code></td><td style=text-align:center>Y</td><td style=text-align:center>Y</td><td style=text-align:center>Y</td><td style=text-align:center>N</td><td style=text-align:center>N</td></tr><tr><td style=text-align:center><code>private</code></td><td style=text-align:center>Y</td><td style=text-align:center>N</td><td style=text-align:center>N</td><td style=text-align:center>N</td><td style=text-align:center>N</td></tr></tbody></table></div><div class="note info flat"><p><code>default</code>:接口里的变量隐式声明为：<code>public static final</code>,接口里的方法默认访问权限为：<code>public</code>。<br><code>protected</code>:被 protected 修饰的成员对于本包和其子类可见。</p><ul><li><strong>子类与基类在同一包中：</strong>被声明为 protected 的变量、方法和构造器能被同一个包中的任何其他类访问。</li><li><strong>子类与基类不在同一包中：</strong>那么在子类中，子类实例可以访问其从基类继承而来的 protected 方法，而不能访问基类实例的 protected 方法。<br>（PS：在判断<code>java.lang</code>包中的<code>clone()</code>等方法是需要注意方法的来源，到底来自于当前包还是<code>java.lang</code>包。）</li></ul></div><div class="note warning flat"><p>请注意以下方法继承的规则：</p><ul><li>父类中声明为<code>public</code>的方法在子类中也必须为<code>public</code>。</li><li>父类中声明为<code>protected</code>的方法在子类中要么声明为<code>protected</code>，要么声明为<code>public</code>，不能声明为<code>private</code>。</li><li>父类中声明为<code>private</code>的方法，不能够被子类继承。</li></ul></div><p><span class="p center logo h3">非访问修饰符</span></p><p><span class="p center logo h4">static 修饰符</span></p><ul><li><strong>静态变量：</strong>static 关键字用来声明独立于对象的静态变量，无论一个类实例化多少对象，它的静态变量只有一份拷贝。 静态变量也被称为类变量。局部变量不能被声明为 static 变量。</li><li><strong>静态方法：</strong>static 关键字用来声明独立于对象的静态方法。静态方法不能使用类的非静态变量。静态方法从参数列表得到数据，然后计算这些数据。</li></ul><p>对类变量和方法的访问可以直接使用<code>classname.variablename</code>和<code>classname.methodname</code>的方式访问。</p><p><span class="p center logo h4">final 修饰符</span></p><p><strong>final 变量：</strong>final 表示”最后的、最终的”含义，变量一旦赋值后，不能被重新赋值。被 final 修饰的实例变量必须显式指定初始值。final 修饰符通常和 static 修饰符一起使用来创建类常量。<br><strong>final 方法：</strong>父类中的 final 方法可以被子类继承，但是不能被子类重写。声明 final 方法的主要目的是防止该方法的内容被修改。<br><strong>final 类：</strong>final 类不能被继承，没有类能够继承 final 类的任何特性。</p><p><span class="p center logo h4">abstract 修饰符</span></p><p><strong>抽象类：</strong>抽象类不能用来实例化对象，声明抽象类的唯一目的是为了将来对该类进行扩充。<br>一个类不能同时被 abstract 和 final 修饰。如果一个类包含抽象方法，那么该类一定要声明为抽象类，否则将出现编译错误。<br>抽象类可以包含抽象方法和非抽象方法。<br><strong>抽象方法：</strong>抽象方法是一种没有任何实现的方法，该方法的具体实现由子类提供。</p><p>抽象方法不能被声明成 final 和 static。</p><p>任何继承抽象类的子类必须实现父类的所有抽象方法，除非该子类也是抽象类。</p><p>如果一个类包含若干个抽象方法，那么该类必须声明为抽象类。抽象类可以不包含抽象方法。</p><p>抽象方法的声明以分号结尾，例如：<code>public abstract sample();</code>。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>abstract</span> <span class=keyword>class</span> <span class="title class_">SuperClass</span>&#123;</span><br><span class=line>    <span class=keyword>abstract</span> <span class=keyword>void</span> <span class="title function_">m</span><span class=params>()</span>; <span class=comment>//抽象方法</span></span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=keyword>class</span> <span class="title class_">SubClass</span> <span class=keyword>extends</span> <span class="title class_">SuperClass</span>&#123;</span><br><span class=line>     <span class=comment>//实现抽象方法</span></span><br><span class=line>      <span class=keyword>void</span> <span class="title function_">m</span><span class=params>()</span>&#123;</span><br><span class=line>          .........</span><br><span class=line>      &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><span class="p center logo h4">synchronized 修饰符</span></p><p>synchronized 关键字声明的方法同一时间只能被一个线程访问。synchronized 修饰符可以应用于四个访问修饰符。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>synchronized</span> <span class=keyword>void</span> <span class="title function_">showDetails</span><span class=params>()</span>&#123;</span><br><span class=line>.......</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><span class="p center logo h4">transient 修饰符</span></p><p>序列化的对象包含被 transient 修饰的实例变量时，java 虚拟机(JVM)跳过该特定的变量。<br>该修饰符包含在定义变量的语句中，用来预处理类和变量的数据类型。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>transient</span> <span class=type>int</span> <span class=variable>limit</span> <span class=operator>=</span> <span class=number>55</span>;   <span class=comment>// 不会持久化</span></span><br><span class=line><span class=keyword>public</span> <span class=type>int</span> b; <span class=comment>// 持久化</span></span><br></pre></td></tr></table></figure><p><span class="p center logo h4">volatile 修饰符</span></p><p>volatile 修饰的成员变量在每次被线程访问时，都强制从共享内存中重新读取该成员变量的值。而且，当成员变量发生变化时，会强制线程将变化值回写到共享内存。这样在任何时刻，两个不同的线程总是看到某个成员变量的同一个值。</p><p>一个 volatile 对象引用可能是 null。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">MyRunnable</span> <span class=keyword>implements</span> <span class="title class_">Runnable</span></span><br><span class=line>&#123;</span><br><span class=line>    <span class=keyword>private</span> <span class=keyword>volatile</span> <span class=type>boolean</span> active;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">run</span><span class=params>()</span></span><br><span class=line>    &#123;</span><br><span class=line>        active = <span class=literal>true</span>;</span><br><span class=line>        <span class=keyword>while</span> (active) <span class=comment>// 第一行</span></span><br><span class=line>        &#123;</span><br><span class=line>            <span class=comment>// 代码</span></span><br><span class=line>        &#125;</span><br><span class=line>    &#125;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">stop</span><span class=params>()</span></span><br><span class=line>    &#123;</span><br><span class=line>        active = <span class=literal>false</span>; <span class=comment>// 第二行</span></span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br><span class=line><span class=comment>/*</span></span><br><span class=line><span class=comment>通常情况下，在一个线程调用 run() 方法（在 Runnable 开启的线程），在另一个线程调用 stop() 方法。 如果 第一行 中缓冲区的 active 值被使用，那么在 第二行 的 active 值为 false 时循环不会停止。</span></span><br><span class=line><span class=comment>但是以上代码中我们使用了 volatile 修饰 active，所以该循环会停止。</span></span><br><span class=line><span class=comment> */</span></span><br><span class=line></span><br></pre></td></tr></table></figure></div></details><h2 id=Java-运算符><a href=#Java-运算符 class=headerlink title="Java 运算符"></a>Java 运算符</h2><details class=folding-tag green><summary>查看Java 运算符</summary><div class=content><div class="note primary flat"><p>Java 运算符方面与其他编程语言基本一致，故简单讲述。</p></div><p><span class="p center logo h3">算数运算符</span><br>Java 中基本的算数运算符为<code>+,-,*,/,%,++,--</code>。</p><p><span class="p center logo h3">关系运算符</span><br>Java 中基本的关系运算符为<code>==,!=,&gt;,&lt;,&gt;=,&lt;=</code>。</p><p><span class="p center logo h3">位运算符</span></p><table class=reference><tbody><tr><th style=width:57px;>操作符</th><th style=width:372px;>描述</th><th style=width:148px;>例子</th></tr><tr><td style=width:57px;>＆</td><td style=width:372px;>如果相对应位都是1，则结果为1，否则为0</td><td style=width:148px;>（A＆B），得到12，即0000 1100</td></tr><tr><td style=width:57px;>|</td><td style=width:372px;>如果相对应位都是 0，则结果为 0，否则为 1</td><td style=width:148px;>（A | B）得到61，即 0011 1101</td></tr><tr><td style=width:57px;>^</td><td style=width:372px;>如果相对应位值相同，则结果为0，否则为1</td><td style=width:148px;>（A ^ B）得到49，即 0011 0001</td></tr><tr><td style=width:57px;>〜</td><td style=width:372px;>按位取反运算符翻转操作数的每一位，即0变成1，1变成0。</td><td style=width:148px;>（〜A）得到-61，即1100 0011</td></tr><tr><td style=width:57px;>&lt;&lt;&nbsp;</td><td style=width:372px;>按位左移运算符。左操作数按位左移右操作数指定的位数。</td><td style=width:148px;>A &lt;&lt; 2得到240，即 1111 0000</td></tr><tr><td style=width:57px;>&gt;&gt;&nbsp;</td><td style=width:372px;>按位右移运算符。左操作数按位右移右操作数指定的位数。</td><td style=width:148px;>A &gt;&gt; 2得到15即 1111</td></tr><tr><td style=width:57px;>&gt;&gt;&gt;&nbsp;</td><td style=width:372px;>按位右移补零操作符。左操作数的值按右操作数指定的位数右移，移动得到的空位以零填充。</td><td style=width:148px;>A&gt;&gt;&gt;2得到15即0000 1111</td></tr></tbody></table><p><span class="p center logo h3">逻辑运算符</span><br>Java 支持的逻辑运算符有<code>&amp;&amp;,||,!</code>。</p><p><span class="p center logo h3">赋值运算符</span><br>Java 支持的赋值运算符有<code>=,+=,-=,*=,/=,%=,&lt;&lt;=,&gt;&gt;=,&amp;=,^=,|=</code>。</p><p><span class="p center logo h3">条件运算符</span></p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 基本格式</span></span><br><span class=line><span class=type>variable</span> <span class=variable>x</span> <span class=operator>=</span> (expression) ? value <span class=keyword>if</span> <span class=literal>true</span> : value <span class=keyword>if</span> <span class=literal>false</span></span><br><span class=line><span class=comment>// 实例</span></span><br><span class=line>b = (a == <span class=number>1</span>) ? <span class=number>20</span> : <span class=number>30</span>;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">instanceof运算符</span></p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 基本格式</span></span><br><span class=line>( Object reference variable ) <span class=keyword>instanceof</span>  (class/<span class=keyword>interface</span> <span class="title class_">type</span>)</span><br><span class=line><span class=comment>// 实例</span></span><br><span class=line><span class=type>String</span> <span class=variable>name</span> <span class=operator>=</span> <span class=string>&quot;James&quot;</span>;</span><br><span class=line><span class=type>boolean</span> <span class=variable>result</span> <span class=operator>=</span> name <span class=keyword>instanceof</span> String; <span class=comment>// 由于 name 是 String 类型，所以返回真</span></span><br></pre></td></tr></table></figure></div></details><h2 id=Java-循环结构><a href=#Java-循环结构 class=headerlink title="Java 循环结构"></a>Java 循环结构</h2><details class=folding-tag green><summary>查看Java 循环结构</summary><div class=content><p><span class="p center logo h3">while 循环</span></p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 基本结构为</span></span><br><span class=line><span class=keyword>while</span>( 布尔表达式 ) &#123;</span><br><span class=line>  <span class=comment>//循环内容</span></span><br><span class=line>&#125;</span><br><span class=line></span><br><span class=line><span class=comment>// 实例</span></span><br><span class=line><span class=keyword>while</span>( x &lt; <span class=number>20</span> ) &#123;</span><br><span class=line>         System.out.print(<span class=string>&quot;value of x : &quot;</span> + x );</span><br><span class=line>         x++;</span><br><span class=line>         System.out.print(<span class=string>&quot;\n&quot;</span>);</span><br><span class=line>      &#125;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">do…while 循环</span><br><code>do...while</code>循环与<code>while</code>循环的区别在于<code>do..while</code>循环至少会执行一次。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 基本格式</span></span><br><span class=line><span class=keyword>do</span> &#123;</span><br><span class=line>       <span class=comment>//代码语句</span></span><br><span class=line>&#125;<span class=keyword>while</span>(布尔表达式);</span><br></pre></td></tr></table></figure><div class="note warning flat"><p>注意<code>do...while</code>结尾有<code>;</code>。</p></div><p><span class="p center logo h3">for 循环</span><br>for 循环语句基本格式与 C 语言完全一致。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 实例</span></span><br><span class=line><span class=keyword>for</span>(<span class=type>int</span> <span class=variable>x</span> <span class=operator>=</span> <span class=number>10</span>; x &lt; <span class=number>20</span>; x = x+<span class=number>1</span>) &#123;</span><br><span class=line>         System.out.print(<span class=string>&quot;value of x : &quot;</span> + x );</span><br><span class=line>         System.out.print(<span class=string>&quot;\n&quot;</span>);</span><br><span class=line>      &#125;</span><br></pre></td></tr></table></figure><div class="note info flat"><p><span class="p logo h4">Java 增强for 循环</span><br>通过 Java 增强 for 循环可快速便利数组元素。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 基本格式</span></span><br><span class=line><span class=keyword>for</span>(声明语句 : 表达式)</span><br><span class=line>&#123;</span><br><span class=line>   <span class=comment>//代码句子</span></span><br><span class=line>&#125;</span><br><span class=line><span class=comment>/*</span></span><br><span class=line><span class=comment>声明语句：声明新的局部变量，该变量的类型必须和数组元素的类型匹配。其作用域限定在循环语句块，其值与此时数组元素的值相等。</span></span><br><span class=line><span class=comment>表达式：表达式是要访问的数组名，或者是返回值为数组的方法。</span></span><br><span class=line><span class=comment>*/</span></span><br><span class=line></span><br><span class=line><span class=keyword>for</span>(<span class=type>int</span> x : numbers )&#123;</span><br><span class=line>         System.out.print( x );</span><br><span class=line>         System.out.print(<span class=string>&quot;,&quot;</span>);</span><br><span class=line>      &#125;</span><br></pre></td></tr></table></figure></div><p><span class="p center logo h3">break 关键字</span><br><code>break</code>关键字用于跳出当前的循环语句或者<code>switch</code>语句。</p><p><span class="p center logo h3">continu 关键字</span><br><code>continue</code>关键字用于直接进入下一次循环。</p></div></details><h2 id=Java-条件语句><a href=#Java-条件语句 class=headerlink title="Java 条件语句"></a>Java 条件语句</h2><details class=folding-tag green><summary>查看Java 条件语句</summary><div class=content><div class="note primary flat"><p>Java 中的<code>if-else</code>条件语句与 C 语言中完全相同，故只做简单示例。</p></div><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String args[])</span>&#123;</span><br><span class=line>      <span class=type>int</span> <span class=variable>x</span> <span class=operator>=</span> <span class=number>30</span>;</span><br><span class=line>      <span class=type>int</span> <span class=variable>y</span> <span class=operator>=</span> <span class=number>10</span>;</span><br><span class=line></span><br><span class=line>      <span class=keyword>if</span>( x == <span class=number>30</span> )&#123;</span><br><span class=line>         <span class=keyword>if</span>( y == <span class=number>10</span> )&#123;</span><br><span class=line>             System.out.print(<span class=string>&quot;X = 30 and Y = 10&quot;</span>);</span><br><span class=line>          &#125;</span><br><span class=line>       &#125;</span><br><span class=line>    &#125;</span><br><span class=line></span><br><span class=line><span class=keyword>if</span>( x == <span class=number>10</span> )&#123;</span><br><span class=line>         System.out.print(<span class=string>&quot;Value of X is 10&quot;</span>);</span><br><span class=line>      &#125;<span class=keyword>else</span> <span class=keyword>if</span>( x == <span class=number>20</span> )&#123;</span><br><span class=line>         System.out.print(<span class=string>&quot;Value of X is 20&quot;</span>);</span><br><span class=line>      &#125;<span class=keyword>else</span> <span class=keyword>if</span>( x == <span class=number>30</span> )&#123;</span><br><span class=line>         System.out.print(<span class=string>&quot;Value of X is 30&quot;</span>);</span><br><span class=line>      &#125;<span class=keyword>else</span>&#123;</span><br><span class=line>         System.out.print(<span class=string>&quot;这是 else 语句&quot;</span>);</span><br><span class=line>      &#125;</span><br></pre></td></tr></table></figure></div></details><h2 id=Java-switch-case-语句><a href=#Java-switch-case-语句 class=headerlink title="Java switch case 语句"></a>Java switch case 语句</h2><details class=folding-tag green><summary>查看Java switch case 语句</summary><div class=content><div class="note primary flat"><p>Java 中<code>switch case</code>语句与 C 语言完全相同，故只做简单示例。</p></div><p><code>switch case</code>的语法格式如下</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>switch</span>(expression)&#123;</span><br><span class=line>    <span class=keyword>case</span> value :</span><br><span class=line>       <span class=comment>//语句</span></span><br><span class=line>       <span class=keyword>break</span>; <span class=comment>//可选</span></span><br><span class=line>    <span class=keyword>case</span> value :</span><br><span class=line>       <span class=comment>//语句</span></span><br><span class=line>       <span class=keyword>break</span>; <span class=comment>//可选</span></span><br><span class=line>    <span class=comment>//你可以有任意数量的case语句</span></span><br><span class=line>    <span class=keyword>default</span> : <span class=comment>//可选</span></span><br><span class=line>       <span class=comment>//语句</span></span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><div class="note warning flat"><p>switch 语句中的变量类型可以是<code>byte,short,int,char</code>。从 Java SE 7 开始，支持字符串<code>String</code>类型，同时<code>case</code>标签必须是字符串常量或字面量。</p></div></div></details><h2 id=Java-Number-amp-Math-类><a href=#Java-Number-amp-Math-类 class=headerlink title="Java Number&amp;Math 类"></a>Java Number&amp;Math 类</h2><details class=folding-tag green><summary>查看Java Number&Math类</summary><div class=content><p>Java 为每个内置数据类型提供了对应的包装类,与<code>Number</code>类和<code>Object</code>类的关系如下图。<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230306224155.png></p><div class="note info flat"><p>当内置数据类型被当作对象来使用时，编译器会把内置数据类型装箱为包装类，反之，编译器也可以把一个对象拆箱为内置类型。<br>举例如下</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">Test</span> &#123;</span><br><span class=line></span><br><span class=line>   <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>      <span class=type>Integer</span> <span class=variable>x</span> <span class=operator>=</span> <span class=number>5</span>;</span><br><span class=line>      x =  x + <span class=number>10</span>;</span><br><span class=line>      System.out.println(x);</span><br><span class=line>   &#125;</span><br><span class=line>&#125;</span><br><span class=line><span class=comment>// 运行结果为15</span></span><br><span class=line><span class=comment>// 当 x 被赋为整型值时，由于x是一个对象，所以编译器要对x进行装箱。然后，为了使x能进行加运算，所以要对x进行拆箱。</span></span><br></pre></td></tr></table></figure></div><p><span class="p center logo h3">Java Math类</span><br>Java 的 Math 包含了用于执行基本数学运算的属性和方法，如初等指数、对数、平方根和三角函数。<br>Math 的方法都被定义为 static 形式，通过 Math 类可以在主函数中直接调用。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">App</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        System.out.println(<span class=string>&quot;90 度的正弦值：&quot;</span> + Math.sin(Math.PI / <span class=number>2</span>));</span><br><span class=line>        System.out.println(<span class=string>&quot;0度的余弦值：&quot;</span> + Math.cos(<span class=number>0</span>));</span><br><span class=line>        System.out.println(<span class=string>&quot;60度的正切值：&quot;</span> + Math.tan(Math.PI / <span class=number>3</span>));</span><br><span class=line>        System.out.println(<span class=string>&quot;1的反正切值： &quot;</span> + Math.atan(<span class=number>1</span>));</span><br><span class=line>        System.out.println(<span class=string>&quot;π/2的角度值：&quot;</span> + Math.toDegrees(Math.PI / <span class=number>2</span>));</span><br><span class=line>        System.out.println(Math.PI);</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">Number&amp;Math 类方法</span></p><ul><li>Number 类的<code>xxxValue()</code>方法：将 Number 对象转换为 xxx 数据类型的值并返回。例：<code>x.byteValue()</code></li><li>Number 类的<code>compareTo()</code>方法：该方法用于将 Number 对象与方法的参数进行比较，只能用于比较相同的两个数据类型。例：<code>x.compareTo(3)</code>。大于返回<code>1</code>,小于<code>-1</code>,等于<code>0</code>。</li><li>Number 类的<code>equals()</code>方法：判断 Number 对象与参数是否相等。例：<code>x.equals(y)</code>,相等返回<code>true</code>，否则返回<code>false</code>。</li><li>Number 类的<code>valueOf</code>方法：返回一个 Number 对象指定的内置数据类型。例：<code>Integer b = Integer.valueOf(&quot;444&quot;,16);</code>即<code>444</code>的十六进制表示。</li><li><code>parseInt()</code>:将字符串解析为 int 类型。</li><li><code>abs()</code>：返回参数的绝对值。</li><li><code>ceil()</code>：返回大于等于给定参数的最小整数，类型为双精度浮点型。</li><li><code>floor()</code>：返回小于等于给定参数的最大整数，类型为双精度浮点型。</li><li><code>rint()</code>：返回与参数最接近的整数。返回类型为 double。</li><li><code>round()</code>：表示四舍五入，数字<code>+0.5</code>后再向下取整。</li><li><code>min()</code>：返回两个参数中的最小值。</li><li><code>max()</code>：返回两个参数中的最大值。</li><li><code>exp()</code>：返回自然数底数 e 的参数次方。</li><li><code>log()</code>：返回参数的自然数底数的对数值。</li><li><code>pow()</code>：返回第一个参数的第二个参数次方。</li><li><code>sqrt()</code>：求参数的算数平方根。</li><li><code>sin()</code>：求指定 double 类型参数的正弦值。</li><li><code>cos()</code>：求指定 double 类型参数的余弦值。</li><li><code>tan()</code>：求指定 double 类型参数的正切值。</li><li><code>asin()</code>：求指定 double 类型参数的反正弦值。</li><li><code>acos()</code>：求指定 double 类型参数的反余弦值。</li><li><code>atan()</code>：求指定 double 类型参数的反正切值。</li><li><code>atan2()</code>：将笛卡尔坐标转变为极坐标，并返回极坐标的角度值。</li><li><code>toDegrees()</code>：将参数转化为角度。</li><li><code>toRadians()</code>：将角度转化为弧度。</li><li><code>random()</code>：返回一个随机数。</li></ul></div></details><h2 id=Java-Character-类><a href=#Java-Character-类 class=headerlink title="Java Character 类"></a>Java Character 类</h2><details class=folding-tag green><summary>查看 Java Character类</summary><div class=content><div class="note primary flat"><p>同样的，内置数据类型<code>char</code>同样有它的包装类<code>Character</code>,同样也有装箱和拆箱操作。</p></div><p><span class="p center logo h3">Number&amp;Math 类方法</span></p><p>前面有<code>反斜杠（\）</code>的字符代表转义字符，它对编译器来说是有特殊含义的。<br>下面列表展示了 Java 的转义序列：</p><table class=reference><tbody><tr><th>转义序列</th><th>描述</th></tr><tr><td>\t</td><td>在文中该处插入一个tab键</td></tr><tr><td>\b</td><td>在文中该处插入一个后退键</td></tr><tr><td>\n</td><td>在文中该处换行</td></tr><tr><td>\r</td><td>在文中该处插入回车</td></tr><tr><td>\f</td><td>在文中该处插入换页符</td></tr><tr><td>\'</td><td>在文中该处插入单引号</td></tr><tr><td>\"</td><td>在文中该处插入双引号</td></tr><tr><td>\\</td><td>在文中该处插入反斜杠</td></tr></tbody></table><p><span class="p center logo h3">Character 类方法</span></p><ul><li><code>isLetter()</code>：是否是一个字母。</li><li><code>isDigit()</code>：是否是一个数字字符。</li><li><code>isWhitespace()</code>：是否是一个空白字符。</li><li><code>isUpperCase()</code>：是否是大写字母。</li><li><code>isLowerCase()</code>：是否是小写字母。</li><li><code>toUpperCase()</code>：指定字母的大写形式。</li><li><code>toLowerCase()</code>：指定字母的小写形式。</li><li><code>toString()</code>：返回字符的字符串形式，字符串的长度为 1。</li></ul></div></details><h2 id=Java-String-类><a href=#Java-String-类 class=headerlink title="Java String 类"></a>Java String 类</h2><details class=folding-tag green><summary>查看Java String 类</summary><div class=content><div class="note primary flat"><p>字符串广泛应用 在 Java 编程中，在 Java 中字符串属于对象，Java 提供了 String 类来创建和操作字符串。</p></div><p><span class="p center logo h3">创建字符串</span><br><code>String</code>直接创建的字符串对象在公共池中，而对象创建的字符串对象在堆上：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br></pre></td><td class=code><pre><span class=line><span class=type>String</span> <span class=variable>s1</span> <span class=operator>=</span> <span class=string>&quot;Runoob&quot;</span>;              <span class=comment>// String 直接创建</span></span><br><span class=line><span class=type>String</span> <span class=variable>s2</span> <span class=operator>=</span> <span class=string>&quot;Runoob&quot;</span>;              <span class=comment>// String 直接创建</span></span><br><span class=line><span class=type>String</span> <span class=variable>s3</span> <span class=operator>=</span> s1;                    <span class=comment>// 相同引用</span></span><br><span class=line><span class=type>String</span> <span class=variable>s4</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">String</span>(<span class=string>&quot;Runoob&quot;</span>);   <span class=comment>// String 对象创建</span></span><br><span class=line><span class=type>String</span> <span class=variable>s5</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">String</span>(<span class=string>&quot;Runoob&quot;</span>);   <span class=comment>// String 对象创建</span></span><br></pre></td></tr></table></figure><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230306235837.png></p><div class="note warning flat"><p><code>String</code>类有 11 种构造方法，这些方法提供不同的参数来初始化字符串。<br><code>String</code>类是不可更改的，一旦创建就不可修改。</p></div><p><span class="p center logo h3">字符串长度</span><br>用于获取有关对象的信息的方法称为访问器方法。<br>String 类的一个访问器方法是<code>length()</code>方法，它返回字符串对象包含的字符数。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">StringDemo</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String args[])</span> &#123;</span><br><span class=line>        <span class=type>String</span> <span class=variable>site</span> <span class=operator>=</span> <span class=string>&quot;www.runoob.com&quot;</span>;</span><br><span class=line>        <span class=type>int</span> <span class=variable>len</span> <span class=operator>=</span> site.length();</span><br><span class=line>        System.out.println( <span class=string>&quot;菜鸟教程网址长度 : &quot;</span> + len );</span><br><span class=line>   &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">连接字符串</span><br>String 类提供了连接两个字符串的方法：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line>string1.concat(string2);</span><br></pre></td></tr></table></figure><p>更常用的是使用<code>+</code>操作符来连接字符串，如：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line><span class=string>&quot;Hello,&quot;</span> + <span class=string>&quot; runoob&quot;</span> + <span class=string>&quot;!&quot;</span>;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">创建格式化字符串</span><br><code>String</code>类的<code>format()</code>方法能用来创建可复用的格式化字符串，而不是仅仅用来一次打印输出。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br></pre></td><td class=code><pre><span class=line>String fs;</span><br><span class=line>fs = String.format(<span class=string>&quot;浮点型变量的值为 &quot;</span> +</span><br><span class=line>                   <span class=string>&quot;%f, 整型变量的值为 &quot;</span> +</span><br><span class=line>                   <span class=string>&quot; %d, 字符串变量的值为 &quot;</span> +</span><br><span class=line>                   <span class=string>&quot; %s&quot;</span>, floatVar, intVar, stringVar);</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">String 类方法</span></p><p><code>String</code>类方法较多，请查看<a target=_blank rel="noopener external nofollow noreferrer" href=https://www.runoob.com/manual/jdk11api/java.base/java/lang/String.html>api 文档</a>。</p></div></details><h2 id=Java-StringBuffer><a href=#Java-StringBuffer class=headerlink title="Java StringBuffer"></a>Java StringBuffer</h2><details class=folding-tag green><summary>查看Java StringBuffer</summary><div class=content><div class="note primary flat"><p>当对字符串进行修改的时候，需要使用<code>StringBuffer</code>和<code>StringBuilder</code>类，二者的对象能被多次修改，并且不产生新的未使用对象。<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230307140358.png></p></div><p>由于<code>StringBuilder</code>相较于<code>StringBuffer</code>有速度优势，所以多数情况下建议使用<code>StringBuilder</code>类,然而<code>StringBuilder</code>的方法不是线程安全的（不能同步访问）。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">RunoobTest</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String args[])</span> &#123;</span><br><span class=line>        <span class=type>StringBuilder</span> <span class=variable>sb</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">StringBuilder</span>(<span class=number>10</span>);</span><br><span class=line>        sb.append(<span class=string>&quot;Runoob..&quot;</span>);</span><br><span class=line>        System.out.println(sb);</span><br><span class=line>        sb.append(<span class=string>&quot;!&quot;</span>);</span><br><span class=line>        System.out.println(sb);</span><br><span class=line>        sb.insert(<span class=number>8</span>, <span class=string>&quot;Java&quot;</span>);</span><br><span class=line>        System.out.println(sb);</span><br><span class=line>        sb.delete(<span class=number>5</span>, <span class=number>8</span>);</span><br><span class=line>        System.out.println(sb);</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230307140630.png></p><p><strong>StringBuffer 类的方法：</strong></p><ul><li><code>StringBuffer</code>类：<a target=_blank rel="noopener external nofollow noreferrer" href=https://www.runoob.com/manual/jdk11api/java.base/java/lang/StringBuffer.html>https://www.runoob.com/manual/jdk11api/java.base/java/lang/StringBuffer.html</a></li><li><code>StringBuilder</code>类：<a target=_blank rel="noopener external nofollow noreferrer" href=https://www.runoob.com/manual/jdk11api/java.base/java/lang/StringBuilder.html>https://www.runoob.com/manual/jdk11api/java.base/java/lang/StringBuilder.html</a></li></ul></div></details><h2 id=Java-数组><a href=#Java-数组 class=headerlink title="Java 数组"></a>Java 数组</h2><details class=folding-tag green><summary>查看Java 数组</summary><div class=content><p><span class="p center logo h3">声明数组变量</span><br>Java 有两种声明数组变量的语法</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 首选</span></span><br><span class=line>dataType[] arrayRefVar;</span><br><span class=line><span class=comment>// 次选，只是符合C/C++的格式方便理解</span></span><br><span class=line>dataType arrayRefVar[];</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">创建数组</span><br>Java 使用<code>new</code>操作符来创建数组，数组是通过索引来访问的，索引值从<code>0</code>~<code>arrayRefVar.length-1</code>。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 模板</span></span><br><span class=line>dataType[] arrayRefVar = <span class=keyword>new</span> <span class="title class_">dataType</span>[arraySize];</span><br><span class=line></span><br><span class=line><span class=comment>// 或者直接赋值</span></span><br><span class=line>dataType[] arrayRefVar = &#123;value0, value1, ..., valuek&#125;;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">Arrays 类</span><br>java.util.Arrays 类能方便地操作数组，它提供的所有方法都是静态的。<br>具有以下功能：</p><ul><li>给数组赋值：通过<code>fill</code>方法。</li><li>对数组排序：通过<code>sort</code>方法,按升序。</li><li>比较数组：通过<code>equals</code>方法比较数组中元素值是否相等。</li><li>查找数组元素：通过<code>binarySearch</code>方法能对排序好的数组进行二分查找法操作。</li></ul><div class="note info flat"><p>Arrays 类还有很多方法，详情查看<a target=_blank rel="noopener external nofollow noreferrer" href=https://www.runoob.com/manual/jdk11api/index.html>Java Api 文档</a></p></div></div></details><h2 id=Java-日期时间><a href=#Java-日期时间 class=headerlink title="Java 日期时间"></a>Java 日期时间</h2><details class=folding-tag green><summary>Java 日期时间</summary><div class=content><div class="note primary flat"><p><code>Date</code>类提供了两个构造函数来实例化<code>Date</code>对象。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 使用当前日期和时间来实例化对象</span></span><br><span class=line><span class=type>Date</span> <span class=variable>date</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Date</span>();</span><br><span class=line><span class=comment>// 接受第一个参数，该参数是从 1970 年 1 月 1 日起的毫秒数</span></span><br><span class=line>Date(<span class=type>long</span> millisec);</span><br></pre></td></tr></table></figure></div><table class=reference><tbody><tr><th style=width:38px;>序号</th><th style=width:538px;>方法和描述</th></tr><tr><td style=width:38px;>1</td><td style=width:538px;><strong>boolean after(Date date)</strong><br>若当调用此方法的Date对象在指定日期之后返回true,否则返回false。</td></tr><tr><td style=width:38px;>2</td><td style=width:538px;><strong>boolean before(Date date)</strong><br>若当调用此方法的Date对象在指定日期之前返回true,否则返回false。</td></tr><tr><td style=width:38px;>3</td><td style=width:538px;><strong>Object clone( )</strong><br>返回此对象的副本。</td></tr><tr><td style=width:38px;>4</td><td style=width:538px;><strong>int compareTo(Date date)</strong><br>比较当调用此方法的Date对象和指定日期。两者相等时候返回0。调用对象在指定日期之前则返回负数。调用对象在指定日期之后则返回正数。</td></tr><tr><td style=width:38px;>5</td><td style=width:538px;><strong>int compareTo(Object obj)</strong><br>若obj是Date类型则操作等同于compareTo(Date) 。否则它抛出ClassCastException。</td></tr><tr><td style=width:38px;>6</td><td style=width:538px;><strong>boolean equals(Object date)</strong><br>当调用此方法的Date对象和指定日期相等时候返回true,否则返回false。</td></tr><tr><td style=width:38px;>7</td><td style=width:538px;><strong>long getTime( )</strong><br>返回自 1970 年 1 月 1 日 00:00:00 GMT 以来此 Date 对象表示的毫秒数。</td></tr><tr><td style=width:38px;>8</td><td style=width:538px;><strong>int hashCode( )</strong><br>&nbsp;返回此对象的哈希码值。</td></tr><tr><td style=width:38px;>9</td><td style=width:538px;><strong>void setTime(long time)</strong><br>&nbsp;<br>用自1970年1月1日00:00:00 GMT以后time毫秒数设置时间和日期。</td></tr><tr><td style=width:38px;>10</td><td style=width:538px;><strong>String toString( )</strong><br>把此 Date 对象转换为以下形式的 String： dow mon dd hh:mm:ss zzz yyyy 其中： dow 是一周中的某一天 (Sun, Mon, Tue, Wed, Thu, Fri, Sat)。</td></tr></tbody></table><p><span class="p center logo h3">获取当前日期时间</span></p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br></pre></td><td class=code><pre><span class=line><span class=type>Date</span> <span class=variable>date</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Date</span>();</span><br><span class=line>System.out.println(date.toString());</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">日期比较</span><br>Java 使用以下三种方法来比较两个日期：</p><ul><li>使用<code>getTime()</code>方法获取两个日期（自 1970 年 1 月 1 日经历的毫秒数值），然后比较这两个值。</li><li>使用方法<code>before()</code>，<code>after()</code>和<code>equals()</code>。例如，一个月的 12 号比 18 号早，则<code>new Date(99, 2, 12).before(new Date (99, 2,18))</code>返回 true。</li><li>使用<code>compareTo()</code>方法，它是由<code>Comparable</code>接口定义的，<code>Date</code>类实现了这个接口。</li></ul><p><span class="p center logo h3">使用 SimpleDateFormat 格式化日期</span><br>SimpleDateFormat 是一个以语言环境敏感的方式来格式化和分析日期的类。SimpleDateFormat 允许你选择任何用户自定义日期时间格式来运行。例如：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br></pre></td><td class=code><pre><span class=line><span class=type>Date</span> <span class=variable>dNow</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Date</span>( );</span><br><span class=line><span class=type>SimpleDateFormat</span> <span class=variable>ft</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">SimpleDateFormat</span> (<span class=string>&quot;yyyy-MM-dd hh:mm:ss&quot;</span>);</span><br><span class=line>System.out.println(<span class=string>&quot;当前时间为: &quot;</span> + ft.format(dNow));</span><br><span class=line><span class=comment>// 运行结果为：当前时间为: 2018-09-06 10:16:34</span></span><br></pre></td></tr></table></figure><div class="note warning flat"><p>有的格式大写，有的格式小写，例如<code>MM</code>是月份，<code>mm</code>是分；<code>HH</code>是 24 小时制，而<code>hh</code>是 12 小时制。</p></div><p><span class="p center logo h3">日期和时间的格式化编码</span><br>时间模式字符串用来指定时间格式。在此模式中，所有的 ASCII 字母被保留为模式字母，定义如下：</p><p><span class="p center logo h3">Calendar 类</span><br><code>Calendar</code>类是一个抽象类，在实际使用时实现特定的子类的对象，创建对象的过程对程序员来说是透明的，只需要使用<code>getInstance</code>方法创建即可。</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br></pre></td><td class=code><pre><span class=line><span class=type>Calendar</span> <span class=variable>c</span> <span class=operator>=</span> Calendar.getInstance();<span class=comment>//默认是当前日期</span></span><br><span class=line><span class=comment>//创建一个代表2009年6月12日的Calendar对象</span></span><br><span class=line><span class=type>Calendar</span> <span class=variable>c1</span> <span class=operator>=</span> Calendar.getInstance();</span><br><span class=line>c1.set(<span class=number>2009</span>, <span class=number>6</span> - <span class=number>1</span>, <span class=number>12</span>);</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">GregorianCalendar 类</span><br>Calendar 类实现了公历日历，GregorianCalendar 是 Calendar 类的一个具体实现。<br>Calendar 的 getInstance（）方法返回一个默认用当前的语言环境和时区初始化的 GregorianCalendar 对象。GregorianCalendar 定义了两个字段：AD 和 BC。这是代表公历定义的两个时代。</p></div></details><h2 id=Java-正则表达式><a href=#Java-正则表达式 class=headerlink title="Java 正则表达式"></a>Java 正则表达式</h2><details class=folding-tag green><summary>Java 正则表达式</summary><div class=content><div class="note info flat"><p>正则表达式是对字符串操作的一种逻辑公式，就是用事先定义好的一些特定字符、及这些特定字符的组合，组成一个”规则字符串”，这个”规则字符串”用来表达对字符串的一种过滤逻辑。<br>给定一个正则表达式和另一个字符串，我们可以达到如下的目的：</p><ul><li>给定的字符串是否符合正则表达式的过滤逻辑（称作”匹配”）。</li><li>可以通过正则表达式，从字符串中获取我们想要的特定部分。</li></ul><p>正则表达式的特点是：</p><ul><li>灵活性、逻辑性和功能性非常的强。</li><li>可以迅速地用极简单的方式达到字符串的复杂控制。</li></ul></div><p>Java 正则表达式的知识点较为繁琐，详情见<a target=_blank rel="noopener external nofollow noreferrer" href=https://www.runoob.com/java/java-regular-expressions.html>Java 正则表达式</a></p></div></details><h2 id=Java-方法><a href=#Java-方法 class=headerlink title="Java 方法"></a>Java 方法</h2><details class=folding-tag green><summary>查看Java 方法</summary><div class=content><p><span class="p center logo h3">方法的定义</span><br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230307161918.png></p><p><span class="p center logo h3">可变参数</span><br>可变参数，即参数的个数可变。方法的可变参数的声明如下所示：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line>typeName... parameterName</span><br></pre></td></tr></table></figure><div class="note warning flat"><p>在方法声明中，在指定参数类型后加一个省略号(…) 。<br>一个方法中只能指定一个可变参数，它必须是方法的最后一个参数。任何普通的参数必须在它之前声明。</p></div></div></details><h2 id=Java-Stream-File-IO><a href=#Java-Stream-File-IO class=headerlink title="Java Stream, File, IO"></a>Java Stream, File, IO</h2><details class=folding-tag green><summary>查看Java Stream</summary><div class=content><div class="note info flat"><p>Java.io 包几乎包含了所有操作输入、输出需要的类。所有这些流类代表了输入源和输出目标。<br>Java.io 包中的流支持很多种格式，比如：基本类型、对象、本地化字符集等等。<br>一个流可以理解为一个数据的序列。输入流表示从一个源读取数据，输出流表示向一个目标写数据。<br>Java 为 I/O 提供了强大的而灵活的支持，使其更广泛地应用到文件传输和网络编程中。</p></div><p><span class="p center logo h3">读取控制台输入</span><br>Java 的控制台输入由<code>System.in</code>完成。<br>为了获得一个绑定到控制台的字符流，你可以把<code>System.in</code>包装在一个<code>BufferedReader</code>对象中来创建一个字符流。<br>下面是创建<code>BufferedReader</code>的基本语法：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line><span class=type>BufferedReader</span> <span class=variable>br</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">BufferedReader</span>(<span class=keyword>new</span> <span class="title class_">InputStreamReader</span>(System.in));</span><br></pre></td></tr></table></figure><p>BufferedReader 对象创建后，我们便可以使用 read() 方法从控制台读取一个字符，或者用 readLine() 方法读取一个字符串。</p><p><span class="p center logo h3">从控制台读取多字符输入</span></p><p>从 BufferedReader 对象读取一个字符要使用 read() 方法，它的语法如下：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line><span class=type>int</span> <span class="title function_">read</span><span class=params>( )</span> <span class=keyword>throws</span> IOException</span><br></pre></td></tr></table></figure><p>每次调用 read() 方法，它从输入流读取一个字符并把该字符作为整数值返回。 当流结束的时候返回 -1。该方法抛出 IOException。</p><p><span class="p center logo h3">从控制台读取字符串</span><br>从标准输入读取一个字符串需要使用<code>BufferedReader</code>的<code>readLine()</code>方法。<br>基本格式：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line>String <span class="title function_">readLine</span><span class=params>( )</span> <span class=keyword>throws</span> IOException</span><br></pre></td></tr></table></figure><p>基本示例：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br></pre></td><td class=code><pre><span class=line><span class=comment>//使用 BufferedReader 在控制台读取字符</span></span><br><span class=line><span class=keyword>import</span> java.io.*;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">BRReadLines</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> <span class=keyword>throws</span> IOException &#123;</span><br><span class=line>        <span class=comment>// 使用 System.in 创建 BufferedReader</span></span><br><span class=line>        <span class=type>BufferedReader</span> <span class=variable>br</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">BufferedReader</span>(<span class=keyword>new</span> <span class="title class_">InputStreamReader</span>(System.in));</span><br><span class=line>        String str;</span><br><span class=line>        System.out.println(<span class=string>&quot;Enter lines of text.&quot;</span>);</span><br><span class=line>        System.out.println(<span class=string>&quot;Enter &#x27;end&#x27; to quit.&quot;</span>);</span><br><span class=line>        <span class=keyword>do</span> &#123;</span><br><span class=line>            str = br.readLine();</span><br><span class=line>            System.out.println(str);</span><br><span class=line>        &#125; <span class=keyword>while</span> (!str.equals(<span class=string>&quot;end&quot;</span>));</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">控制台输出</span><br>在此前已经介绍过，控制台的输出由<code>print()</code>和<code>println()</code>完成。这些方法都由类<code>PrintStream</code>定义，<code>System.out</code>是该类对象的一个引用。<br><code>PrintStream</code>继承了<code>OutputStream</code>类，并且实现了方法<code>write()</code>。这样，<code>write()</code>也可以用来往控制台写操作。<br><code>PrintStream</code>定义<code>write()</code>的最简单格式如下所示：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>void</span> <span class="title function_">write</span><span class=params>(<span class=type>int</span> byteval)</span></span><br></pre></td></tr></table></figure><p>该方法将 byteval 的低八位字节写到流中。</p><p><span class="p center logo h3">读写文件</span><br>如前所述，一个流被定义为一个数据序列。输入流用于从源读取数据，输出流用于向目标写数据。<br>下图是一个描述输入流和输出流的类层次图。<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230308141020.png></p><p><span class="p center logo h3">FileInputStream与FileOutputStream</span><br>两种创建方法：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br></pre></td><td class=code><pre><span class=line><span class=type>InputStream</span> <span class=variable>f</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">FileInputStream</span>(<span class=string>&quot;C:/java/hello&quot;</span>);</span><br><span class=line></span><br><span class=line><span class=type>File</span> <span class=variable>f</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">File</span>(<span class=string>&quot;C:/java/hello&quot;</span>);</span><br><span class=line><span class=type>InputStream</span> <span class=variable>in</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">FileInputStream</span>(f);</span><br><span class=line></span><br><span class=line><span class=type>OutputStream</span> <span class=variable>f</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">FileOutputStream</span>(<span class=string>&quot;C:/java/hello&quot;</span>)</span><br><span class=line></span><br><span class=line><span class=type>File</span> <span class=variable>f</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">File</span>(<span class=string>&quot;C:/java/hello&quot;</span>);</span><br><span class=line><span class=type>OutputStream</span> <span class=variable>fOut</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">FileOutputStream</span>(f);</span><br></pre></td></tr></table></figure><p>使用实例</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br><span class=line>18</span><br><span class=line>19</span><br><span class=line>20</span><br><span class=line>21</span><br><span class=line>22</span><br><span class=line>23</span><br><span class=line>24</span><br><span class=line>25</span><br><span class=line>26</span><br><span class=line>27</span><br><span class=line>28</span><br><span class=line>29</span><br><span class=line>30</span><br><span class=line>31</span><br><span class=line>32</span><br><span class=line>33</span><br><span class=line>34</span><br><span class=line>35</span><br><span class=line>36</span><br><span class=line>37</span><br><span class=line>38</span><br><span class=line>39</span><br><span class=line>40</span><br><span class=line>41</span><br><span class=line>42</span><br><span class=line>43</span><br><span class=line>44</span><br><span class=line>45</span><br><span class=line>46</span><br><span class=line>47</span><br><span class=line>48</span><br></pre></td><td class=code><pre><span class=line><span class=comment>//文件名 :fileStreamTest2.java</span></span><br><span class=line><span class=keyword>import</span> java.io.*;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">fileStreamTest2</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> <span class=keyword>throws</span> IOException &#123;</span><br><span class=line></span><br><span class=line>        <span class=type>File</span> <span class=variable>f</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">File</span>(<span class=string>&quot;a.txt&quot;</span>);</span><br><span class=line>        <span class=type>FileOutputStream</span> <span class=variable>fop</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">FileOutputStream</span>(f);</span><br><span class=line>        <span class=comment>// 构建FileOutputStream对象,文件不存在会自动新建</span></span><br><span class=line></span><br><span class=line>        <span class=type>OutputStreamWriter</span> <span class=variable>writer</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">OutputStreamWriter</span>(fop, <span class=string>&quot;UTF-8&quot;</span>);</span><br><span class=line>        <span class=comment>// 构建OutputStreamWriter对象,参数可以指定编码,默认为操作系统默认编码,windows上是gbk</span></span><br><span class=line></span><br><span class=line>        writer.append(<span class=string>&quot;中文输入&quot;</span>);</span><br><span class=line>        <span class=comment>// 写入到缓冲区</span></span><br><span class=line></span><br><span class=line>        writer.append(<span class=string>&quot;\r\n&quot;</span>);</span><br><span class=line>        <span class=comment>// 换行</span></span><br><span class=line></span><br><span class=line>        writer.append(<span class=string>&quot;English&quot;</span>);</span><br><span class=line>        <span class=comment>// 刷新缓存冲,写入到文件,如果下面已经没有写入的内容了,直接close也会写入</span></span><br><span class=line></span><br><span class=line>        writer.close();</span><br><span class=line>        <span class=comment>// 关闭写入流,同时会把缓冲区内容写入文件,所以上面的注释掉</span></span><br><span class=line></span><br><span class=line>        fop.close();</span><br><span class=line>        <span class=comment>// 关闭输出流,释放系统资源</span></span><br><span class=line></span><br><span class=line>        <span class=type>FileInputStream</span> <span class=variable>fip</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">FileInputStream</span>(f);</span><br><span class=line>        <span class=comment>// 构建FileInputStream对象</span></span><br><span class=line></span><br><span class=line>        <span class=type>InputStreamReader</span> <span class=variable>reader</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">InputStreamReader</span>(fip, <span class=string>&quot;UTF-8&quot;</span>);</span><br><span class=line>        <span class=comment>// 构建InputStreamReader对象,编码与写入相同</span></span><br><span class=line></span><br><span class=line>        <span class=type>StringBuffer</span> <span class=variable>sb</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">StringBuffer</span>();</span><br><span class=line>        <span class=keyword>while</span> (reader.ready()) &#123;</span><br><span class=line>            sb.append((<span class=type>char</span>) reader.read());</span><br><span class=line>            <span class=comment>// 转成char加到StringBuffer对象中</span></span><br><span class=line>        &#125;</span><br><span class=line>        System.out.println(sb.toString());</span><br><span class=line>        reader.close();</span><br><span class=line>        <span class=comment>// 关闭读取流</span></span><br><span class=line></span><br><span class=line>        fip.close();</span><br><span class=line>        <span class=comment>// 关闭输入流,释放系统资源</span></span><br><span class=line></span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure></div></details><h2 id=Java-Scanner-类><a href=#Java-Scanner-类 class=headerlink title="Java Scanner 类"></a>Java Scanner 类</h2><details class=folding-tag green><summary>查看Java Scanner 类</summary><div class=content><p>使用<code>next</code>方法：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>import</span> java.util.Scanner;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">ScannerDemo</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        <span class=type>Scanner</span> <span class=variable>scan</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Scanner</span>(System.in);</span><br><span class=line>        <span class=comment>// 从键盘接收数据</span></span><br><span class=line></span><br><span class=line>        <span class=comment>// next方式接收字符串</span></span><br><span class=line>        System.out.println(<span class=string>&quot;next方式接收：&quot;</span>);</span><br><span class=line>        <span class=comment>// 判断是否还有输入</span></span><br><span class=line>        <span class=keyword>if</span> (scan.hasNext()) &#123;</span><br><span class=line>            <span class=type>String</span> <span class=variable>str1</span> <span class=operator>=</span> scan.next();</span><br><span class=line>            System.out.println(<span class=string>&quot;输入的数据为：&quot;</span> + str1);</span><br><span class=line>        &#125;</span><br><span class=line>        scan.close();</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p>输出结果：</p><figure class="highlight plaintext"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br></pre></td><td class=code><pre><span class=line>next方式接收：</span><br><span class=line>runoob com</span><br><span class=line>输入的数据为：runoob</span><br></pre></td></tr></table></figure><p>使用<code>nextLine</code>方法：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br><span class=line>15</span><br><span class=line>16</span><br><span class=line>17</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>import</span> java.util.Scanner;</span><br><span class=line></span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">ScannerDemo</span> &#123;</span><br><span class=line>    <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String[] args)</span> &#123;</span><br><span class=line>        <span class=type>Scanner</span> <span class=variable>scan</span> <span class=operator>=</span> <span class=keyword>new</span> <span class="title class_">Scanner</span>(System.in);</span><br><span class=line>        <span class=comment>// 从键盘接收数据</span></span><br><span class=line></span><br><span class=line>        <span class=comment>// nextLine方式接收字符串</span></span><br><span class=line>        System.out.println(<span class=string>&quot;nextLine方式接收：&quot;</span>);</span><br><span class=line>        <span class=comment>// 判断是否还有输入</span></span><br><span class=line>        <span class=keyword>if</span> (scan.hasNextLine()) &#123;</span><br><span class=line>            <span class=type>String</span> <span class=variable>str2</span> <span class=operator>=</span> scan.nextLine();</span><br><span class=line>            System.out.println(<span class=string>&quot;输入的数据为：&quot;</span> + str2);</span><br><span class=line>        &#125;</span><br><span class=line>        scan.close();</span><br><span class=line>    &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p>输出结果为：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br></pre></td><td class=code><pre><span class=line>nextLine方式接收：</span><br><span class=line>runoob com</span><br><span class=line>输入的数据为：runoob com</span><br></pre></td></tr></table></figure></div></details><h2 id=Java-异常处理><a href=#Java-异常处理 class=headerlink title="Java 异常处理"></a>Java 异常处理</h2><details class=folding-tag green><summary>查看Java 异常处理</summary><div class=content><p><span class="p center logo h3">Exception 类的层次</span><br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230308143413.png></p><p><span class="p center logo h3">捕获异常</span><br>实例：</p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br><span class=line>11</span><br><span class=line>12</span><br><span class=line>13</span><br><span class=line>14</span><br></pre></td><td class=code><pre><span class=line><span class=comment>// 文件名 : ExcepTest.java</span></span><br><span class=line><span class=keyword>import</span> java.io.*;</span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">ExcepTest</span>&#123;</span><br><span class=line></span><br><span class=line>   <span class=keyword>public</span> <span class=keyword>static</span> <span class=keyword>void</span> <span class="title function_">main</span><span class=params>(String args[])</span>&#123;</span><br><span class=line>      <span class=keyword>try</span>&#123;</span><br><span class=line>         <span class=type>int</span> a[] = <span class=keyword>new</span> <span class="title class_">int</span>[<span class=number>2</span>];</span><br><span class=line>         System.out.println(<span class=string>&quot;Access element three :&quot;</span> + a[<span class=number>3</span>]);</span><br><span class=line>      &#125;<span class=keyword>catch</span>(ArrayIndexOutOfBoundsException e)&#123;</span><br><span class=line>         System.out.println(<span class=string>&quot;Exception thrown  :&quot;</span> + e);</span><br><span class=line>      &#125;</span><br><span class=line>      System.out.println(<span class=string>&quot;Out of the block&quot;</span>);</span><br><span class=line>   &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><p><span class="p center logo h3">throws/throw关键字</span></p><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br><span class=line>10</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>import</span> java.io.*;</span><br><span class=line><span class=keyword>public</span> <span class=keyword>class</span> <span class="title class_">className</span></span><br><span class=line>&#123;</span><br><span class=line>  <span class=keyword>public</span> <span class=keyword>void</span> <span class="title function_">deposit</span><span class=params>(<span class=type>double</span> amount)</span> <span class=keyword>throws</span> RemoteException</span><br><span class=line>  &#123;</span><br><span class=line>    <span class=comment>// Method implementation</span></span><br><span class=line>    <span class=keyword>throw</span> <span class=keyword>new</span> <span class="title class_">RemoteException</span>();</span><br><span class=line>  &#125;</span><br><span class=line>  <span class=comment>//Remainder of class definition</span></span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure></div></details></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/8d55d49a/">http://refrain.cf/posts/8d55d49a/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" rel="external nofollow noreferrer" target=_blank>CC BY-NC-SA 4.0</a> 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class=toc-number>1.</span> <span class=toc-text>Java 主要特性</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E5%9F%BA%E7%A1%80%E8%AF%AD%E6%B3%95><span class=toc-number>2.</span> <span class=toc-text>Java 基础语法</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E5%AF%B9%E8%B1%A1%E5%92%8C%E7%B1%BB><span class=toc-number>3.</span> <span class=toc-text>Java 对象和类</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E5%9F%BA%E6%9C%AC%E6%95%B0%E6%8D%AE%E7%B1%BB%E5%9E%8B><span class=toc-number>4.</span> <span class=toc-text>Java 基本数据类型</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E5%8F%98%E9%87%8F%E7%B1%BB%E5%9E%8B><span class=toc-number>5.</span> <span class=toc-text>Java 变量类型</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E4%BF%AE%E9%A5%B0%E7%AC%A6><span class=toc-number>6.</span> <span class=toc-text>Java 修饰符</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E8%BF%90%E7%AE%97%E7%AC%A6><span class=toc-number>7.</span> <span class=toc-text>Java 运算符</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E5%BE%AA%E7%8E%AF%E7%BB%93%E6%9E%84><span class=toc-number>8.</span> <span class=toc-text>Java 循环结构</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E6%9D%A1%E4%BB%B6%E8%AF%AD%E5%8F%A5><span class=toc-number>9.</span> <span class=toc-text>Java 条件语句</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-switch-case-%E8%AF%AD%E5%8F%A5><span class=toc-number>10.</span> <span class=toc-text>Java switch case 语句</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-Number-amp-Math-%E7%B1%BB><span class=toc-number>11.</span> <span class=toc-text>Java Number&amp;Math 类</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-Character-%E7%B1%BB><span class=toc-number>12.</span> <span class=toc-text>Java Character 类</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-String-%E7%B1%BB><span class=toc-number>13.</span> <span class=toc-text>Java String 类</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-StringBuffer><span class=toc-number>14.</span> <span class=toc-text>Java StringBuffer</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E6%95%B0%E7%BB%84><span class=toc-number>15.</span> <span class=toc-text>Java 数组</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E6%97%A5%E6%9C%9F%E6%97%B6%E9%97%B4><span class=toc-number>16.</span> <span class=toc-text>Java 日期时间</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E6%AD%A3%E5%88%99%E8%A1%A8%E8%BE%BE%E5%BC%8F><span class=toc-number>17.</span> <span class=toc-text>Java 正则表达式</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E6%96%B9%E6%B3%95><span class=toc-number>18.</span> <span class=toc-text>Java 方法</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-Stream-File-IO><span class=toc-number>19.</span> <span class=toc-text>Java Stream, File, IO</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-Scanner-%E7%B1%BB><span class=toc-number>20.</span> <span class=toc-text>Java Scanner 类</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Java-%E5%BC%82%E5%B8%B8%E5%A4%84%E7%90%86><span class=toc-number>21.</span> <span class=toc-text>Java 异常处理</span></a></li></ol></div></div><div class="card-widget card-recent-post"><div class=item-headline><i class="fas fa-history"></i><span>最新文章</span></div><div class=aside-list><div class=aside-list-item><a class=thumbnail href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 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+      content = content.substring(0,150) + '...'
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+    const runTwikoo = () => {
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+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
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+        const twikooArray = res.map(e => {
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+            'avatar': e.avatar,
+            'nick': e.nick,
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+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
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+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
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href="/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/">数据结构</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>2.3k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>7分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=数据结构绪论><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><h2 id=前言><a href=#前言 class=headerlink title=前言></a>前言</h2><div class="tip home"><p>在数据结构课程结课之后，我打算重开之前一直搁置的数据结构教程书写，一方面为加深数据结构的学习印象，另一方面为以后复习做一个参考。</p></div><div class="tip info"><p>本教程编程语言采用 <strong><span class="p yellow">JAVA</span></strong> ,文章框架参考自 <strong><span class="p yellow">HUST数据结构PPT</span></strong> ,源码内容参考自 <strong><a target=_blank rel="noopener external nofollow noreferrer" href="https://www.bilibili.com/video/BV1E4411H73v/?spm_id_from=333.999.0.0&amp;vd_source=aca6967773d9edcf25495f454e05197c">尚硅谷 JAVA 数据结构教程</a></strong> 。</p></div><div class="tip key"><p>绪论部分主要以定义介绍为主，掌握概念即可，复杂度方面将具体对复杂度进行分析,其中具体对时间复杂度进行分析</p></div><h2 id=数据结构的定义><a href=#数据结构的定义 class=headerlink title=数据结构的定义></a>数据结构的定义</h2><ol><li>数据结构本身概念的基本定义：<br>数据结构是计算机中<span class="p red">存储、组织数据的方式</span>。</li><li>数据结构这门学科的基本定义：<br>数据结构是一门研究<span class="p red">非数值计算的程序设计问题</span>中计算机的<span class="p red">操作对象以及它们之间的关系和操作</span>等相关问题的学科。</li></ol><h2 id=基本概念和术语><a href=#基本概念和术语 class=headerlink title=基本概念和术语></a>基本概念和术语</h2><ol><li>数据(data)：所有能输入到计算机中并被计算机程序加工、处理的符号的总称。<br>如：整数、实数、字符、声音、图象、图形等。</li><li>数据元素(data element):数据的基本单位。（元素、记录、结点、顶点）在计算机程序中通常作为一个整体进行考虑和处理。</li><li>数据项(data item):是数据的不可分割的最小单位。如：姓名、年龄等。一个数据元素可由一个或多个数据项组成。<br>如: (姓名、年龄)</li><li>数据对象(data object): 由性质相同(类型相同)的数据元素组成的集合。<div class="note info flat"><p>数据对象是数据的一个子集。</p></div></li><li>数据结构(data structure):数据结构就是相互之间存在一种或多种特定关系的数据元素的集合。<br><div class="note info flat"><p>在任何问题中，数据元素都不是孤立存在的，而是在它们之间存在着某种关系，这种数据元素相互之间的关系称为结构(Structure)。<br>按照研究角度来分，数据结构可分为：</p><ul><li>逻辑结构：面向数据之间的逻辑概念的关系。</li><li>物理结构：面向数据之间的物理储存等面向计算机方面的关系。</li></ul><p>逻辑结构：<br>数据之间的相互关系称为逻辑结构，即从逻辑关系上描述数据，与数据的存储无关，是独立于计算机的。通常分为四类基本结构：</p><ul><li>集合</li><li>线性结构</li><li>树形结构</li><li>图（网）状结构</li></ul><p>物理结构：<br>物理结构亦称存储结构，是数据的逻辑结构在计算机存储器内的表示（或映像），依赖于计算机。存储结构可以分为四大类：</p><ol><li>顺序存储结构(向量,一维数组)</li><li>非顺序存储结构(链接表、链式存储结构）</li><li>索引存储结构</li><li>哈希（Hash）存储结构</li></ol></div>6. 数据类型（data type)：是一个值的集合和定义在这个值上的一组操作的总称。数据类型可分为两类：</li></ol><ul><li>原子类型(如：int,char,float 等)</li><li>结构类型(如：数组,结构,联合体等)</li></ul><ol><li>抽象数据类型(Abstract Data Type)：与计算机的实现无关的数据类型。</li></ol><h2 id=抽象数据类型><a href=#抽象数据类型 class=headerlink title=抽象数据类型></a>抽象数据类型</h2><div class="note default flat"><p>抽象数据类型（Abstract Data Type，ADT）是电脑科学中具有类似行为的特定类别的数据结构的数学模型；或者具有类似语义的一种或多种程序设计语言的数据类型。抽象数据类型是间接定义的，通过其上的可执行的操作以及这些操作的效果的数学约束（与可能的代价）。<br>例如，抽象的堆栈（stack）由 3 个操作定义：推入 push，弹出 pop（接受约束：每次弹出返回的是最新被推入且没有被弹出的数据，也就是后进先出），查看堆栈顶端数据 peek。当分析使用堆栈算法的效率，所有这 3 个操作用时相同，无论堆栈中包含多少项数据；并且对每项数据栈使用了常量大小的存储。<br>抽象数据类型（ADT）是纯粹理论实体，用于简化描述抽象算法，分类与评价数据结构，形式描述程序设计语言的类型系统。一个 ADT 可以用特定数据类型或数据结构实现，在许多程序设计语言中有许多种实现方式；或者用形式规范语言描述。ADT 常实现为模块（module）：模块的接口声明了对应于 ADT 操作的例程（procedure），有时用注释描述了约束。</p></div><h2 id=算法与算法分析><a href=#算法与算法分析 class=headerlink title=算法与算法分析></a>算法与算法分析</h2><ol><li>算法定义：是对特定问题求解步骤的一种描述，算法是指令的有限序列，其中每一条指令表示一个或多个操作。</li><li>算法的五个特征：<ul><li>有穷性：在有限步(或有限时间)之后算法终止。</li><li>确定性：无二义性。</li><li>可行性：算法中的操作都是已经实现的基本运算执行有限次来实现的。</li><li>输入：有 0 或多个输入量。</li><li>输出：至少有一个输出量。</li></ul></li><li><p>算法设计要求：</p><ol><li><p>正确性：</p><ul><li>无语法错误</li><li>对 n 组输入产生正确结果</li><li>对特殊输入产生正确结果</li><li>对所有输入产生正确结果</li></ul></li><li><p>可读性：“算法主要是为了人的阅读与交流”</p></li><li>高效率与低存储量</li></ol></li><li><p>算法效率的度量：</p><ul><li>事后统计： 收集此算法的执行时间和实际占用空间的统计资料</li><li>事先分析： 求出该算法的时间复杂度</li><li>将一个算法转换成程序并在计算机上执行时，其运行所需要的时间取决于下列因素：<ol><li>硬件的速度。</li><li>书写程序的语言。</li><li>编译程序所生成目标代码的质量。</li><li>问题的规模。</li></ol></li></ul></li></ol><div class="note info flat"><p>在各种因素都不能确定的情况下，很难比较出算法的执行时间。因此，使用执行算法的绝对时间来衡量算法的效率是不合适的。为此，将上述各种与计算机相关的软、硬件因素都确定下来，这样一个特定算法的运行工作量的大小就只依赖于问题的规模（通常用正整数 n 表示），或者说它是问题规模的函数。</p></div><ol><li><p>算法的时间复杂度：</p><ol><li>时间频度：一个算法中的原操作执行次数称为语句频度频度，记为 f(n)</li><li>时间复杂度：<ul><li><code>T(n)</code> = <code>O(f(n))</code> 称<code>O(f(n))</code>为算法的渐近时间复杂度，简称时间复杂度。大<code>O</code>（Order 的缩写，意指数量级）表示随问题规模 n 的增大，算法执行时间的增长率和<code>f(n)</code>的增长率相同。</li><li>大 O 操作的本质是求<code>f(n)</code>的同阶无穷大。当 n 趋近于无穷大时，<code>f(n)/g(n)</code>的极限值为不等于零的常数，则称<code>g(n)</code>是<code>f(n)</code>的同数量级函数。</li></ul></li></ol></li><li><p>算法的空间复杂度:<br>一个算法在计算机存储器上所占用的存储空间，包括:</p><ol><li>存储算法本身所占用的存储空间</li><li>算法的输入输出数据所占用的存储空间</li><li>算法在运行过程中临时占用的存储空间</li></ol></li></ol><h2 id=算法时间复杂度具体实例分析><a href=#算法时间复杂度具体实例分析 class=headerlink title=算法时间复杂度具体实例分析></a>算法时间复杂度具体实例分析</h2><ol><li><p>常量阶</p><div class=tabs id=j1><ul class=nav-tabs><li class="tab active"><button type=button data-href=#j1-1>示例代码</button></li><li class=tab><button type=button data-href=#j1-2>复杂度分析</button></li></ul><div class=tab-contents><div class="tab-item-content active" id=j1-1><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br></pre></td><td class=code><pre><span class=line><span class=type>int</span> <span class=variable>s</span> <span class=operator>=</span> <span class=number>0</span>;</span><br><span class=line>s++;</span><br><span class=line>System.out.println(s);</span><br></pre></td></tr></table></figure><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div><div class=tab-item-content id=j1-2><ol><li>语句频度: <code>f(n)=3</code></li><li>时间复杂度为：<code>T(n)=O(f(n))=O(3)=O(1)</code></li><li><code>O(1)</code>称成为常量阶/常量数量级</li></ol><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div></div></div></li><li><p>线性阶</p><div class=tabs id=j2><ul class=nav-tabs><li class="tab active"><button type=button data-href=#j2-1>示例代码</button></li><li class=tab><button type=button data-href=#j2-2>复杂度分析</button></li></ul><div class=tab-contents><div class="tab-item-content active" id=j2-1><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>void</span> <span class="title function_">sum</span><span class=params>(<span class=type>int</span> a[], <span class=type>int</span> n)</span> &#123;</span><br><span class=line>  <span class=type>int</span> s=<span class=number>0</span>,i; <span class=comment>// 1次</span></span><br><span class=line>  <span class=keyword>for</span>(i=<span class=number>0</span>；i&lt;n；i++)&#123; <span class=comment>// n次</span></span><br><span class=line>  s = s + a[i]; <span class=comment>// n次</span></span><br><span class=line>  printf(<span class=string>&quot;%d&quot;</span>,s);<span class=comment>// 1次</span></span><br><span class=line>  &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div><div class=tab-item-content id=j2-2><ol><li>语句频度: <code>f(n)=1+n+n+1</code></li><li>时间复杂度为：<code>T(n)=O(f(n))=O(2n+2)=O(n）</code></li><li><code>O(n)</code>称成为线性阶/线性数量级</li></ol><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div></div></div>3. 平方阶<div class=tabs id=j2><ul class=nav-tabs><li class="tab active"><button type=button data-href=#j2-1>示例代码</button></li><li class=tab><button type=button data-href=#j2-2>复杂度分析</button></li></ul><div class=tab-contents><div class="tab-item-content active" id=j2-1><figure class="highlight java"><table><tr><td class=gutter><pre><span class=line>1</span><br><span class=line>2</span><br><span class=line>3</span><br><span class=line>4</span><br><span class=line>5</span><br><span class=line>6</span><br><span class=line>7</span><br><span class=line>8</span><br><span class=line>9</span><br></pre></td><td class=code><pre><span class=line><span class=keyword>void</span> <span class="title function_">sum</span><span class=params>(<span class=type>int</span> n)</span> &#123;</span><br><span class=line>  <span class=type>int</span> i, j, s = <span class=number>0</span>; <span class=comment>// 1次</span></span><br><span class=line>  <span class=keyword>for</span>(i = <span class=number>1</span>;i &lt;= n; i++)&#123; <span class=comment>// n次</span></span><br><span class=line>    <span class=keyword>for</span>(j=<span class=number>1</span>;j&lt;=i;j++)&#123; <span class=comment>// n(n+1)/2 次</span></span><br><span class=line>        s++; <span class=comment>// n(n+1)/2次</span></span><br><span class=line>    &#125;</span><br><span class=line>    System.out.println(s); <span class=comment>// n次</span></span><br><span class=line>  &#125;</span><br><span class=line>&#125;</span><br></pre></td></tr></table></figure><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div><div class=tab-item-content id=j2-2><ol><li>语句频度: $ f(n)=1+n+n(n+1)+n = n^2+3n+1 $</li><li>时间复杂度为：$ T(n)=O(f(n))=O(n^2) $</li><li>$ O(n^2) $ 称成为线性阶/线性数量级</li></ol><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div></div></div></li><li><p>复杂度比较</p></li></ol><div class=table-container><table><thead><tr><th style=text-align:center>常数阶</th><th style=text-align:center>对数阶</th><th style=text-align:center>线性阶</th><th style=text-align:center>线性对数阶</th><th style=text-align:center>平方阶</th><th style=text-align:center>立方阶</th><th style=text-align:center>…</th><th style=text-align:center>k 次方阶</th><th style=text-align:center>指数阶</th></tr></thead><tbody><tr><td style=text-align:center>$ O(1) $</td><td style=text-align:center>$ O(log_2 n) $</td><td style=text-align:center>$ O(n) $</td><td style=text-align:center>$ O(nlog_2 n) $</td><td style=text-align:center>$ O(n^2) $</td><td style=text-align:center>$ O(n^3) $</td><td style=text-align:center>…</td><td style=text-align:center>$ O(n^k) $</td><td style=text-align:center>$ O(2^n) $</td></tr></tbody></table></div><h2 id=平均时间复杂度与最坏时间复杂度><a href=#平均时间复杂度与最坏时间复杂度 class=headerlink title=平均时间复杂度与最坏时间复杂度></a>平均时间复杂度与最坏时间复杂度</h2><ol><li>平均时间复杂度<br>指所有可能的输入实例 <strong>均以等概率出现</strong> 的情况下，该算法的运行时间</li><li>最坏时间复杂度<br>最坏情况下的世界复杂度称为最坏时间复杂度。<div class="note info flat"><p>一般讨论的时间复杂度均是最坏情况下的时间复杂度，因为：最坏情况下的时间复杂度是算法在 <strong>任何输入实例上运行时间的界限，</strong>这就保证了算法的运行时间不会比最坏情况更长</p></div></li></ol></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a 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href="/categories/%E7%99%BE%E5%AE%9D%E7%AE%B1/">百宝箱</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>689</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>2分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=Win10/11任务栏透明美化><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><div class="tip home"><p>本文主要通过 TranslucentTB 和 RoundedTB 两款轻量软件来实现 win10/11 的任务栏美化，在阅读本教程之前，请确保你的电脑安装了 Microsoft Store 并可以正常下载应用</p></div><div class="tip bell faa-horizontal animated-hover"><p>教程除任务栏透明化外还有进阶的边角美化教程，读者可根据需要自行选择阅读</p></div><h2 id=安装应用><a href=#安装应用 class=headerlink title=安装应用></a>安装应用</h2><details class=folding-tag cyan open><summary>点击查看安装应用</summary><div class=content><ol><li>打开 Microsoft Store(微软商店),搜索 TranslucentTB<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/Search.jpg alt=搜索TranslucentTB></li><li>安装 TranslucenTB<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/icon.jpg alt=安装TranslucentTB></li></ol></div></details><div class="tip warning faa-horizontal animated"><p>注意安装的是 TransclucentTB 原版而不是汉化版，汉化版本只适用与 win10 任务栏完全透明化</p></div><div class="tip info"><p>TranslucentTB 在 2022 年 12 月的一次更新中添加了中文版本，并解决了之前版本任务栏透明顶部仍有一条细线的问题(<em><span class="p cyan">之前此问题可配合RoundedTB解决</span></em>)，现阶段 TranslucentTB 支持中文并且可独立实现 Windows 任务栏透明美化</p></div><h2 id=基本设置介绍><a href=#基本设置介绍 class=headerlink title=基本设置介绍></a>基本设置介绍</h2><div class=tabs id=tb1><ul class=nav-tabs><li class="tab active"><button type=button data-href=#tb1-1>配置参数</button></li><li class=tab><button type=button data-href=#tb1-2>样式预览</button></li></ul><div class=tab-contents><div class="tab-item-content active" id=tb1-1><div class="checkbox cyan"><input type=radio><p>Normal:正常</p></div><div class="checkbox cyan"><input type=radio><p>Opaque: 不透明</p></div><div class="checkbox cyan"><input type=radio><p>Clear: 透明</p></div><div class="checkbox cyan"><input type=radio><p>Acrylic: 亚克力(即毛玻璃样式)</p></div><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div><div class=tab-item-content id=tb1-2><div class="checkbox cyan checked"><input type=radio checked><p>正常:</p></div><div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/normal.jpg></div></div><div class="checkbox cyan checked"><input type=radio checked><p>不透明:</p></div><div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/opaque.jpg></div></div><div class="checkbox cyan checked"><input type=radio checked><p>透明:</p></div><div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/clear.jpg></div></div><div class="checkbox cyan checked"><input type=radio checked><p>亚克力:</p></div><div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/acrylic.jpg></div></div><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div></div></div><h2 id=Win11-推荐设置><a href=#Win11-推荐设置 class=headerlink title="Win11 推荐设置"></a>Win11 推荐设置</h2><details class=folding-tag cyan open><summary>点击查看推荐设置</summary><div class=content><div class="checkbox checked"><input type=radio checked><p>返回桌面时:清晰</p></div><div class="checkbox checked"><input type=radio checked><p>开启任何窗口时:清晰</p></div><div class="checkbox checked"><input type=radio checked><p>窗口最大化时:亚克力</p></div><div class="checkbox checked"><input type=radio checked><p>开启开始菜单时:清晰</p></div></div></details><div class="note success flat"><p>其余三种情况可根据自己喜好自行设置，效果图我就不放了，自己设置完试试就知道了</p></div><div class="tip cogs"><p>如果你只是追求任务栏透明的话，教程到此就可以不用看了，接下来讲任务栏的进阶美化教程</p></div><h2 id=进阶美化教程><a href=#进阶美化教程 class=headerlink title=进阶美化教程></a>进阶美化教程</h2><div class="note info flat"><p>任务栏除透明美化外，还可以通过修改任务栏的边距和弧角来仿照 Mac 或 Linux 系统的任务栏</p></div><details class=folding-tag green><summary>点击查看进阶美化教程</summary><div class=content><ol><li>打开微软商店，安装 RoundedTB<div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/ROUNDED.jpg style=width:160px;></div></div></li><li>打开 RoundedTB<div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/tb.jpg></div></div></li><li><p>基本设置介绍</p><div class=tabs id=tb2><ul class=nav-tabs><li class="tab active"><button type=button data-href=#tb2-1>配置参数</button></li><li class=tab><button type=button data-href=#tb2-2>样式预览</button></li></ul><div class=tab-contents><div class="tab-item-content active" id=tb2-1><div class="checkbox cyan"><input type=radio><p>Corner radius:角半径</p></div><div class="checkbox cyan"><input type=radio><p>Top Margin: 任务栏顶部间距(Bottom Margin同理)</p></div><div class="checkbox cyan"><input type=radio><p>Left Margin: 任务栏左侧间距(Right Margin同理)</p></div><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div><div class=tab-item-content id=tb2-2><div class="checkbox cyan checked"><input type=radio checked><p>顶部间距设置为10:</p></div><div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/TM.jpg></div></div><div class="checkbox cyan checked"><input type=radio checked><p>左侧间距设置为10:</p></div><div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/RM.jpg></div></div><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div></div></div></li><li><p>进阶设置</p><div class=tabs id=tb3><ul class=nav-tabs><li class="tab active"><button type=button data-href=#tb3-1>配置参数</button></li><li class=tab><button type=button data-href=#tb3-2>进阶设置预览</button></li></ul><div class=tab-contents><div class="tab-item-content active" id=tb3-1><p><span class="p cyan">Dynamic mode:</span>启用右下角任务栏系统托盘隐藏选项<br><span class="p cyan">Show system tray:</span>显示系统托盘<br><span class="p cyan">Show system tray on hover:</span>只在鼠标悬停时显示系统托盘<br><span class="p cyan">Fill taskbar when maximised:</span>最大化时填充任务栏，即复原<br><span class="p cyan">Fill taskbar on alt + tab:</span> atl+tab 切换程序时填充任务栏，即复原</p><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div><div class=tab-item-content id=tb3-2><ol><li><code>Corner Radius</code> = <strong>35</strong><br><code>Top Margin</code> = <strong>5</strong><br><code>Bottom Margin</code> = <strong>5</strong><br><code>Left Margin</code> = <strong>0</strong><br><code>Right Margin</code> = <strong>0</strong><div class="checkbox checked"><input type=checkbox checked><p>Dynamic mode</p></div><div class="checkbox red"><input type=checkbox><p>Show system tray</p></div><div class="checkbox red"><input type=checkbox><p>Show system tray on hover</p></div><span class="p Left small">预览效果</span><div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/noTray.jpg></div></div></li><li><code>Corner Radius</code> = <strong>35</strong><br><code>Top Margin</code> = <strong>5</strong><br><code>Bottom Margin</code> = <strong>5</strong><br><code>Left Margin</code> = <strong>0</strong><br><code>Right Margin</code> = <strong>0</strong><div class="checkbox checked"><input type=checkbox checked><p>Dynamic mode</p></div><div class="checkbox red"><input type=checkbox><p>Show system tray</p></div><div class="checkbox checked"><input type=checkbox checked><p>Show system tray on hover</p></div><span class="p Left small">预览效果</span><div class=img-wrap><div class=img-bg><img class=img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/showTray.jpg></div></div></li></ol><button type=button class=tab-to-top aria-label="scroll to top"><i class="fas fa-arrow-up"></i></button></div></div></div><div class="tip key"><p>这里我也只是简单的做了个示例，具体的样式读者可自行调试获得</p></div></li></ol></div></details></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div 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class=toc-number>1.</span> <span class=toc-text>安装应用</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%9F%BA%E6%9C%AC%E8%AE%BE%E7%BD%AE%E4%BB%8B%E7%BB%8D><span class=toc-number>2.</span> <span class=toc-text>基本设置介绍</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Win11-%E6%8E%A8%E8%8D%90%E8%AE%BE%E7%BD%AE><span class=toc-number>3.</span> <span class=toc-text>Win11 推荐设置</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E8%BF%9B%E9%98%B6%E7%BE%8E%E5%8C%96%E6%95%99%E7%A8%8B><span class=toc-number>4.</span> <span class=toc-text>进阶美化教程</span></a></li></ol></div></div><div class="card-widget card-recent-post"><div class=item-headline><i class="fas fa-history"></i><span>最新文章</span></div><div class=aside-list><div class=aside-list-item><a class=thumbnail href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230304182253.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=Windows/Ubuntu双系统安装教程></a><div class=content><a class=title href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程>Windows/Ubuntu双系统安装教程</a><time datetime=2023-03-04T09:52:55.000Z title="发表于 2023-03-04 17:52:55">2023-03-04</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/8d55d49a/" title=JAVA学习笔记><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/20230117145620.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=JAVA学习笔记></a><div class=content><a class=title href="/posts/8d55d49a/" title=JAVA学习笔记>JAVA学习笔记</a><time datetime=2023-01-17T06:44:22.000Z title="发表于 2023-01-17 14:44:22">2023-01-17</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/6534ce06/" title=栈与队列><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=栈与队列></a><div class=content><a class=title href="/posts/6534ce06/" title=栈与队列>栈与队列</a><time datetime=2022-12-31T06:18:56.000Z title="发表于 2022-12-31 14:18:56">2022-12-31</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/40f24371/" title=线性表><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=线性表></a><div class=content><a class=title href="/posts/40f24371/" title=线性表>线性表</a><time datetime=2022-12-24T13:23:10.000Z title="发表于 2022-12-24 21:23:10">2022-12-24</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/b67f488/" title=Win10/11任务栏透明美化><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/cover.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=Win10/11任务栏透明美化></a><div class=content><a class=title href="/posts/b67f488/" title=Win10/11任务栏透明美化>Win10/11任务栏透明美化</a><time datetime=2022-12-02T12:18:18.000Z title="发表于 2022-12-02 20:18:18">2022-12-02</time></div></div></div></div></div></div></main><footer id=footer style="background: transparent"><div id=footer-wrap><div class=copyright>&copy;2022 - 2023 By 希亚的西红柿</div><div class=footer_custom_text><p class=para><a target=_blank style="display: inline-block; margin-inline: 5px" href="https://hexo.io/" rel="external nofollow noreferrer" title=博客框架为Hexo_v5.4.2><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src="https://img.shields.io/badge/Frame-Hexo-blue?style=flat&logo=hexo"></a><a target=_blank style="display: 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+      return
+    } 
+    getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runFn)
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+  if ('Twikoo' === 'Twikoo' || !true) {
+    if (true) btf.loadComment(document.getElementById('twikoo-wrap'), loadTwikoo)
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+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
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+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
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+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
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+        const twikooArray = res.map(e => {
+          return {
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+            'avatar': e.avatar,
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+
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+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
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+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
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+    $dom.innerHTML= result
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+      } else {
+        getComment()
+      }
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href="/categories/%E7%99%BE%E5%AE%9D%E7%AE%B1/">百宝箱</a></span></div><div class=meta-secondline><span class=post-meta-separator>|</span><span class=post-meta-wordcount><i class="far fa-file-word fa-fw post-meta-icon"></i><span class=post-meta-label>字数总计:</span><span class=word-count>1.9k</span><span class=post-meta-separator>|</span><i class="far fa-clock fa-fw post-meta-icon"></i><span class=post-meta-label>阅读时长:</span><span>6分钟</span></span><span class=post-meta-separator>|</span><span class=post-meta-pv-cv data-flag-title=Windows/Ubuntu双系统安装教程><i class="far fa-eye fa-fw post-meta-icon"></i><span class=post-meta-label>阅读量:</span><span id=busuanzi_value_page_pv><i class="fa-solid fa-spinner fa-spin"></i></span></span></div></div></div></header><main class=layout id=content-inner><div id=post><article class=post-content id=article-container><div class="tip home"><p>本文主要记录笔者 PC 安装 Windows/Ubuntu 双系统的过程、Windows 平台下 VMware 虚拟机安装 Ubuntu 的配置过程、以及双系统 Ubuntu 卸载的注意事项。</p></div><div class="tip info"><p>本文中 Ubuntu 安装环境：CPU：<span class="p yellow">Intel i7-12700h</span>,GPU：<span class="p yellow">RTX 3060 laptop GPU</span>,OS：<span class="p yellow">Windows 11 Professional</span>。</p></div><details class=folding-tag yellow><summary>查看参考教程</summary><div class=content><div class=table-container><table><thead><tr><th style=text-align:center>参考方向</th><th style=text-align:center>教程原帖</th></tr></thead><tbody><tr><td style=text-align:center>Ubuntu 双系统安装基本框架</td><td style=text-align:center><a target=_blank rel="noopener external nofollow noreferrer" href="https://blog.csdn.net/NeoZng/article/details/122779035#:~:text=Ubuntu%2FWindows%E5%8F%8C%E7%B3%BB%E7%BB%9F%E5%AE%89%E8%A3%85%E5%B7%A8%E8%AF%A6%E7%BB%86%E2%80%94%E2%80%94%E5%85%A8%E9%9D%A2%E8%A7%A3%E5%86%B3%E5%90%84%E7%A7%8D%E9%97%AE%E9%A2%98%EF%BC%88%E7%96%91%E9%9A%BE%E6%9D%82%E7%97%87%EF%BC%89%EF%BC%8C%E6%9C%89%E6%89%8B%E5%B0%B1%E8%A1%8C%201%201.%E5%88%B6%E4%BD%9CUbuntu%E5%90%AF%E5%8A%A8%E7%9B%98%20%E4%BD%A0%E9%9C%80%E8%A6%81%E4%B8%80%E4%B8%AA%20%E5%AE%B9%E9%87%8F%E5%A4%A7%E4%BA%8E4GB%20%E7%9A%84%E7%A9%BAu%E7%9B%98%EF%BC%88%E4%B8%8D%E6%98%AF%E7%A9%BA%E7%9A%84%E4%B9%9F%E6%B2%A1%E4%BA%8B%EF%BC%8C%E4%BD%86%E6%98%AF%E5%88%B6%E4%BD%9C%E5%90%AF%E5%8A%A8%E7%9B%98%E4%BC%9A%E6%A0%BC%E5%BC%8F%E5%8C%96u%E7%9B%98%EF%BC%8C%E6%89%80%E6%9C%89%E4%B8%9C%E8%A5%BF%E9%83%BD%E4%BC%9A%E4%B8%A2%E5%A4%B1%EF%BC%81%20%EF%BC%89%EF%BC%8C%E7%84%B6%E5%90%8E%E6%89%8D%E8%83%BD%E5%BC%80%E5%A7%8B%E5%88%B6%E4%BD%9C%E3%80%82%20...,%E7%A1%AE%E4%BF%9D%E4%BB%A5%E4%B8%8A%E7%9A%84%E6%AD%A5%E9%AA%A4%E5%AE%8C%E6%88%90%E5%90%8E%EF%BC%8C%E8%BF%9B%E5%85%A5bios%EF%BC%8C%E6%8A%8A%E4%BD%A0%E7%9A%84%E5%90%AF%E5%8A%A8%E7%9B%98%E5%9C%A8%E5%90%AF%E5%8A%A8%E9%A1%BA%E5%BA%8F%E4%B8%AD%E8%B0%83%E6%95%B4%E5%88%B0%E7%AC%AC%E4%B8%80%E4%BD%8D%EF%BC%8C%E4%BF%9D%E5%AD%98%E9%80%80%E5%87%BA%EF%BC%8C%E9%87%8D%E5%90%AF%E5%90%8E%E5%B0%B1%E4%BC%9A%E8%BF%9B%E5%85%A5grub%E7%95%8C%E9%9D%A2%EF%BC%9A%20%E7%9B%B4%E6%8E%A5%E5%9B%9E%E8%BD%A6%20%EF%BC%8C%E5%B0%B1%E4%BC%9A%E8%BF%9B%E5%85%A5Ubuntu%E7%9A%84%E5%AE%89%E8%A3%85%E7%95%8C%E9%9D%A2%E4%BA%86%EF%BC%9A%20...%205%205.%E5%AE%89%E8%A3%85%E5%AE%8C%E6%88%90%E5%90%8E%E5%BF%85%E5%81%9A%E7%9A%84%E4%BA%8B%20%E4%BD%A0%E9%9C%80%E8%A6%81%E6%9B%B4%E6%8D%A2%E8%BD%AF%E4%BB%B6%E6%BA%90%E4%BB%A5%E8%8E%B7%E5%8F%96%E6%9B%B4%E5%BF%AB%E7%9A%84%E4%B8%8B%E8%BD%BD%E9%80%9F%E5%BA%A6%E3%80%82%20">Ubuntu/Windows 双系统安装巨详细——全面解决各种问题（疑难杂症），有手就行</a></td></tr><tr><td style=text-align:center>EFI 分区如何卸载</td><td style=text-align:center><a target=_blank rel="noopener external nofollow noreferrer" href="https://www.cnblogs.com/gris/p/13890387.html#:~:text=%E8%A6%81%E5%88%A0%E9%99%A4Ubunt,%E7%AC%AC%E4%B8%89%E6%96%B9%E6%B5%81%E6%B0%93%E8%BD%AF%E4%BB%B6%E3%80%82">彻底删除 Ubuntu EFI 分区及启动项</a></td></tr><tr><td style=text-align:center>VMware Ubuntu 安装教程</td><td style=text-align:center><a target=_blank rel="noopener external nofollow noreferrer" href=https://blog.csdn.net/weixin_45673283/article/details/126563001>在 VMware16 虚拟机安装 Ubuntu 详细教程</a></td></tr></tbody></table></div></div></details><h2 id=制作-Ubuntu-启动盘><a href=#制作-Ubuntu-启动盘 class=headerlink title="制作 Ubuntu 启动盘"></a>制作 Ubuntu 启动盘</h2><div class="note warning flat"><p>注意：制作<code>Ubuntu</code>启动盘将格式化 U 盘内的所有内容，U 盘内有文件请及时做好备份。</p></div><ol><li>准备一个<strong>容量大于 5GB</strong>的 U 盘，此 U 盘将用来制作<code>Ubuntu</code>启动盘。</li><li>下载<code>USB</code>启动盘制作工具，前往<a target=_blank rel="noopener external nofollow noreferrer" href="http://rufus.ie/zh/">Rufus - 轻松创建 USB 启动盘</a>，在下载板块下载<strong><code>Rufus 3.21 (1.3 MB)</code></strong>。</li><li>前往<a target=_blank rel="noopener external nofollow noreferrer" href=https://cn.ubuntu.com/download/desktop>Ubuntu 官方网站</a>下载 Ubuntu 镜像，下载<code>Ubuntu 22.04.2 LTS</code>版本。</li><li><code>Rufus</code>和<code>Ubuntu</code>镜像下载完成后，打开<code>Rufus</code>，将下面五个选项值设置如下，其余值默认即可。</li></ol><div class=table-container><table><thead><tr><th style=text-align:center>选项</th><th style=text-align:center>值</th></tr></thead><tbody><tr><td style=text-align:center>设备</td><td style=text-align:center>所要制作成启动盘的 U 盘</td></tr><tr><td style=text-align:center>引导类型选择</td><td style=text-align:center>下载的<code>Ubuntu</code>镜像</td></tr><tr><td style=text-align:center>分区类型</td><td style=text-align:center><code>GPT</code></td></tr><tr><td style=text-align:center>目标系统类型</td><td style=text-align:center><code>UEFI(非CSM)</code></td></tr><tr><td style=text-align:center>文件系统</td><td style=text-align:center><code>FAT32</code></td></tr></tbody></table></div><p>最后点击开始，在弹出窗口界面选择以 ISO 镜像模式写入，即默认，等待写入完成。</p><h2 id=利用磁盘管理划分空间><a href=#利用磁盘管理划分空间 class=headerlink title=利用磁盘管理划分空间></a>利用磁盘管理划分空间</h2><ol><li>打开<code>Windows Search</code>，搜索磁盘管理，打开创建并格式化硬盘分区。<br><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230304195629.png></li><li>在磁盘管理界面，找到一块剩余空间较大的一块盘，右键点击压缩卷，压缩出一块未分配的磁盘空间。</li></ol><p><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230304195832.png></p><div class="note success flat"><p>分配给<code>Ubuntu</code>空间大小参考：</p><ul><li>简单学习：<code>30GB</code></li><li>软件开发：<code>50GB</code></li><li>学习 ROS：<code>80GB+</code></li><li>AI 相关：<code>100GB+</code></li></ul></div><h2 id=准备工作><a href=#准备工作 class=headerlink title=准备工作></a>准备工作</h2><div class="tip warning"><p>准备工作十分重要且因机型而异，请读者严格按照教程进行操作，并记录 BIOS 设置更改项，方便回退。</p></div><h3 id=关闭-BitLocker><a href=#关闭-BitLocker class=headerlink title="关闭 BitLocker"></a>关闭 BitLocker</h3><div class="note info flat"><p><code>BitLocker</code>是微软出品的用于保护硬盘的加密系统，用于禁止任何非 windows 的系统或设备对硬盘进行写入操作。在<code>Win10/11</code>的家庭版中移除了该选项面板，改为设备加密作为替代。</p></div><p>打开<code>Windows Search</code>搜索<code>BitLocker</code>将其关闭，家庭版则需要前往<code>设置&gt;更新与安全</code>中关闭设备加密。</p><h3 id=前往-BIOS-关闭安全启动和快速启动><a href=#前往-BIOS-关闭安全启动和快速启动 class=headerlink title="前往 BIOS 关闭安全启动和快速启动"></a>前往 BIOS 关闭安全启动和快速启动</h3><div class="note info flat"><p>不同的电脑进入 BIOS 的按键可能不同，请上网查询，一般是<code>F2</code>、<code>F12</code>等按键。</p></div><p>进入 BIOS 关闭安全启动(Secure Boot)和快速启动(Fast Boot)。戴尔电脑关闭安全启动参考<a target=_blank rel="noopener external nofollow noreferrer" href="https://www.dell.com/support/kbdoc/zh-cn/000190116/%E5%A6%82-%E4%BD%95-%E5%90%AF%E7%94%A8-%E6%88%B4%E5%B0%94-%E8%AE%BE%E5%A4%87%E7%9A%84-%E5%AE%89%E5%85%A8-%E5%90%AF%E5%8A%A8-%E5%8A%9F%E8%83%BD?lwp=rt">如何启用戴尔设备的安全启动功能</a>,另外启动模式必须调整为<code>UEFI</code>。</p><details class=folding-tag><summary>其他设置</summary><div class=content><p><span class="p logo h4">关闭平台可信模块(Trusted Platform Module)</span></p><p></p><p>一般来说，此选项和<code>Secure boot</code>一起，在 Secure（安全）选项卡下。</p><p></p><div class="note warning flat"><p>我在安装的时候没管这个似乎也没啥问题，如果有问题的再尝试关闭这项。</p></div><span class="p logo h4">关闭Intel RST VMD储存技术</span><p>进入 BIOS 关闭 Intel VMD 选项。</p><div class="note success flat"><p>目前<code>Ubuntu 22.04.2 LTS</code>已集成<code>intel RST</code>驱动，实际测试不关闭也能安装。</p></div><div class="note info flat"><p>PS:这玩意给重装系统带来了比较多的麻烦，WinPE 并没有集成这一驱动，导致进 PE 系统无法读盘，目前的解决办法只有进 BIOS 关闭 VMD，安装系统，打开 BIOS 中 vmd 设置，用工具注入 vmd 驱动，进系统安装 intel rts 驱动。</p></div></div></details><h2 id=安装配置><a href=#安装配置 class=headerlink title=安装配置></a>安装配置</h2><ol><li>在确保上述步骤完成之后，重启电脑，按<code>F12</code>选择从 U 盘启动，进入 grub 界面，并且选择第一项<code>try and install ubuntu</code>。</li><li>之后就会进入到<code>ubuntu</code>安装界面。</li><li>语言选择中文简体，键盘布局就默认的<code>Chinese</code>就好。</li><li>不要连接网络并选择最小安装。</li><li>安装类型选择<strong><span class="p red">其他选项</span></strong>。</li><li>找到刚刚 Windows 上分出来的空闲空间，根据大小判断</li><li>选中选中空闲的空间，点击底下的 ➕，我们总共需要分 3 个分区，<code>EFI系统分区</code>、<code>根目录</code>、<code>home目录</code>，相关参数如下</li></ol><div class=table-container><table><thead><tr><th style=text-align:center>分区名</th><th style=text-align:center>大小</th><th style=text-align:center>新分区的类型</th><th style=text-align:center>新分区的位置</th><th style=text-align:center>用于</th><th style=text-align:center>分区描述</th><th>挂载点</th></tr></thead><tbody><tr><td style=text-align:center><code>EFI系统分区</code></td><td style=text-align:center>512MB</td><td style=text-align:center>逻辑分区</td><td style=text-align:center>空间起始位置</td><td style=text-align:center><code>EFI系统分区</code></td><td style=text-align:center>即启动分区，系统将从这里加载启动，内核文件也都放在这里</td><td>-</td></tr><tr><td style=text-align:center><code>根目录</code></td><td style=text-align:center>磁盘<code>1/2</code>的空间多一点</td><td style=text-align:center>主分区</td><td style=text-align:center>空间起始位置</td><td style=text-align:center>Ext4 日志文件系统</td><td style=text-align:center>即根目录</td><td>/</td></tr><tr><td style=text-align:center><code>home目录</code></td><td style=text-align:center>剩下的空间</td><td style=text-align:center>主分区</td><td style=text-align:center>空间起始位置</td><td style=text-align:center>Ext4 日志文件系统</td><td style=text-align:center>即用户自己的目录</td><td>/home</td></tr></tbody></table></div><div class="note danger flat"><p>安装启动引导器（<code>bootloader</code>）的设备要选择刚刚新分配的 EFI 分区，千万别和<code>windows的EFI分区</code>(一般为 260MB)搞错了，不然直接凉凉。可以通过大小来区别两者（我们分配的大小会是 511MB）。</p></div><div class="note success flat"><p>之后点击现在安装，然后的事情就简单了，相关设置设置完之后会提示你重启，重启后会提示你移除 U 盘(<code>installation medium</code>)，拔掉 U 盘再进入就好了。</p></div><h2 id=VMware-虚拟机安装-Ubuntu-的注意事项><a href=#VMware-虚拟机安装-Ubuntu-的注意事项 class=headerlink title="VMware 虚拟机安装 Ubuntu 的注意事项"></a>VMware 虚拟机安装 Ubuntu 的注意事项</h2><div class="note warning flat"><p>注意安装<code>VMware Workstation</code>前先要关闭内核隔离。</p></div><p>安装 VMware Workstation 的注意事项：</p><ul><li>增强型键盘驱动程序和控制台工具添加的系统<code>path</code>两个选项都勾上。</li><li>更新和提升计划两个别勾选。</li></ul><p>安装<code>Ubuntu</code>的注意事项：</p><ul><li>配置采用自定义。</li><li>选择稍后安装操作系统。</li><li>网络类型选择<code>使用网络地址转换(NAT)(E)</code>。</li><li>磁盘选择新建磁盘，将虚拟磁盘拆分成多个文件。</li><li>自定义文件选择镜像。</li></ul><p>安装 VMware tools 的注意事项：</p><ul><li>安装完后需要重新安装<code>vmware-tools</code>。</li></ul><h2 id=Ubuntu-EFI-分区的删除><a href=#Ubuntu-EFI-分区的删除 class=headerlink title="Ubuntu EFI 分区的删除"></a>Ubuntu EFI 分区的删除</h2><div class="note primary flat"><p>PC 安装双系统后,Ubuntu 的<code>EFI</code>分区无法删除，下文将讲述如何利用<code>Windows</code>系统下的<code>diskpart</code>来删除<code>Ubuntu EFI</code>分区和启动项。</p></div><h3 id=删除-EFI-分区><a href=#删除-EFI-分区 class=headerlink title="删除 EFI 分区"></a>删除 EFI 分区</h3><ol><li>使用管理员权限打开 cmd，输入<code>diskpart</code>,利用<code>list disk</code>来查询磁盘信息。</li><li>选择安装了<code>Ubuntu</code>的硬盘，输入<code>select disk 1</code>。</li><li>查看磁盘 1 下所有分区信息<code>list partition</code>，根据分区大小选择<code>EFI</code>分区，选择该分区<code>select partition 4</code>。</li><li>删除该分区<code>delete partition override</code>。</li></ol><h3 id=修改-Windows-启动项><a href=#修改-Windows-启动项 class=headerlink title="修改 Windows 启动项"></a>修改 Windows 启动项</h3><div class="note info flat"><p>如果这样结束，开机按<code>F9</code>或<code>F12</code>会发现启动项里还会有<code>Ubuntu</code>启动项：这是因为在安装<code>Ubuntu</code>后，<code>Ubuntu</code>的引导信息也写在了<code>win10</code>的<code>EFI</code>启动分区里。如果不删除的话，以后再安装<code>Ubuntu</code>会出现很多个<code>Ubuntu</code>启动项。</p></div><ol><li>选择磁盘 0，即<code>Windows</code>系统所在的磁盘：<code>select disk 0</code>。</li><li>查看磁盘 0 下所有分区信息：<code>list partition</code>。</li><li>根据容量(<code>Windows EFI</code>分区的容量大概为 260MB)选择分区：<code>select partition 1</code>。</li><li>为<code>Windows EFI</code>分区分配盘符：<code>assign letter = p</code>，此处<code>p</code>为盘符，注意不要与其他已存在的盘符重复。</li><li>使用管理员权限打开记事本，用记事本菜单栏里的打开来访问<code>P</code>盘，打开<code>EFI</code>文件夹，删除<code>ubuntu</code>文件夹。</li><li>删除<code>EFI</code>分区盘符<code>P</code>：<code>remove letter = p</code>。</li></ol><div class="note success flat"><p>基本原理：P 盘需要管理员权限访问，采用管理员权限打开记事本后记事本就被赋予了管理员权限。</p></div></article><div class=post-copyright><div class=post-copyright__author><span class=post-copyright-meta>文章作者:</span><span class=post-copyright-info><a href=http://refrain.cf>希亚的西红柿</a></span></div><div class=post-copyright__type><span class=post-copyright-meta>文章链接:</span><span class=post-copyright-info><a href="http://refrain.cf/posts/d3748e5f/">http://refrain.cf/posts/d3748e5f/</a></span></div><div class=post-copyright__notice><span class=post-copyright-meta>版权声明:</span><span class=post-copyright-info>本博客所有文章除特别声明外，均采用 <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/" rel="external nofollow noreferrer" target=_blank>CC BY-NC-SA 4.0</a> 许可协议。转载请注明来自 <a href=http://refrain.cf target=_blank>希亚的西红柿のBlog</a>！</span></div></div><div class=tag_share><div class=post-meta__tag-list><a class=post-meta__tags href="/tags/Windows/">Windows</a><a class=post-meta__tags href="/tags/Ubuntu/">Ubuntu</a><a class=post-meta__tags href="/tags/%E8%99%9A%E6%8B%9F%E6%9C%BA/">虚拟机</a></div><div class=post_share><div class=social-share data-image=https://unpkg.com/nova1751-sources/postImg/20230304182253.png data-sites=facebook,twitter,wechat,weibo,qq></div><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/butterfly-extsrc/sharejs/dist/css/share.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/sharejs/dist/js/social-share.min.js defer></script></div></div><nav class=pagination-post id=pagination><div class="next-post pull-full"><a href="/posts/8d55d49a/" title=JAVA学习笔记><img class=cover src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 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class=toc-content><ol class=toc><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%88%B6%E4%BD%9C-Ubuntu-%E5%90%AF%E5%8A%A8%E7%9B%98><span class=toc-number>1.</span> <span class=toc-text>制作 Ubuntu 启动盘</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%88%A9%E7%94%A8%E7%A3%81%E7%9B%98%E7%AE%A1%E7%90%86%E5%88%92%E5%88%86%E7%A9%BA%E9%97%B4><span class=toc-number>2.</span> <span class=toc-text>利用磁盘管理划分空间</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%87%86%E5%A4%87%E5%B7%A5%E4%BD%9C><span class=toc-number>3.</span> <span class=toc-text>准备工作</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%85%B3%E9%97%AD-BitLocker><span class=toc-number>3.1.</span> <span class=toc-text>关闭 BitLocker</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%89%8D%E5%BE%80-BIOS-%E5%85%B3%E9%97%AD%E5%AE%89%E5%85%A8%E5%90%AF%E5%8A%A8%E5%92%8C%E5%BF%AB%E9%80%9F%E5%90%AF%E5%8A%A8><span class=toc-number>3.2.</span> <span class=toc-text>前往 BIOS 关闭安全启动和快速启动</span></a></li></ol></li><li class="toc-item toc-level-2"><a class=toc-link href=#%E5%AE%89%E8%A3%85%E9%85%8D%E7%BD%AE><span class=toc-number>4.</span> <span class=toc-text>安装配置</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#VMware-%E8%99%9A%E6%8B%9F%E6%9C%BA%E5%AE%89%E8%A3%85-Ubuntu-%E7%9A%84%E6%B3%A8%E6%84%8F%E4%BA%8B%E9%A1%B9><span class=toc-number>5.</span> <span class=toc-text>VMware 虚拟机安装 Ubuntu 的注意事项</span></a></li><li class="toc-item toc-level-2"><a class=toc-link href=#Ubuntu-EFI-%E5%88%86%E5%8C%BA%E7%9A%84%E5%88%A0%E9%99%A4><span class=toc-number>6.</span> <span class=toc-text>Ubuntu EFI 分区的删除</span></a><ol class=toc-child><li class="toc-item toc-level-3"><a class=toc-link href=#%E5%88%A0%E9%99%A4-EFI-%E5%88%86%E5%8C%BA><span class=toc-number>6.1.</span> <span class=toc-text>删除 EFI 分区</span></a></li><li class="toc-item toc-level-3"><a class=toc-link href=#%E4%BF%AE%E6%94%B9-Windows-%E5%90%AF%E5%8A%A8%E9%A1%B9><span class=toc-number>6.2.</span> <span class=toc-text>修改 Windows 启动项</span></a></li></ol></li></ol></div></div><div class="card-widget card-recent-post"><div class=item-headline><i class="fas fa-history"></i><span>最新文章</span></div><div class=aside-list><div class=aside-list-item><a class=thumbnail href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://unpkg.com/nova1751-sources/postImg/20230304182253.png onerror="this.onerror=null;this.src='/img/404.jpg'" alt=Windows/Ubuntu双系统安装教程></a><div class=content><a class=title href="/posts/d3748e5f/" title=Windows/Ubuntu双系统安装教程>Windows/Ubuntu双系统安装教程</a><time datetime=2023-03-04T09:52:55.000Z title="发表于 2023-03-04 17:52:55">2023-03-04</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/8d55d49a/" title=JAVA学习笔记><img 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id=rightside><div id=rightside-config-hide><button id=readmode type=button title=阅读模式><i class="fas fa-book-open"></i></button><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button class=close id=mobile-toc-button type=button title=目录><i class="fas fa-list-ul"></i></button><a id=to_comment href=#post-comment title=直达评论><i class="fas fa-comments"></i></a><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax><script>if (!window.MathJax) {
+  window.MathJax = {
+    tex: {
+      inlineMath: [['$', '$'], ['\\(', '\\)']],
+      tags: 'ams'
+    },
+    chtml: {
+      scale: 1.1
+    },
+    options: {
+      renderActions: {
+        findScript: [10, doc => {
+          for (const node of document.querySelectorAll('script[type^="math/tex"]')) {
+            const display = !!node.type.match(/; *mode=display/)
+            const math = new doc.options.MathItem(node.textContent, doc.inputJax[0], display)
+            const text = document.createTextNode('')
+            node.parentNode.replaceChild(text, node)
+            math.start = {node: text, delim: '', n: 0}
+            math.end = {node: text, delim: '', n: 0}
+            doc.math.push(math)
+          }
+        }, '']
+      }
+    }
+  }
+  
+  const script = document.createElement('script')
+  script.src = 'https://cdn.jsdelivr.net/npm/mathjax/es5/tex-mml-chtml.min.js'
+  script.id = 'MathJax-script'
+  script.async = true
+  document.head.appendChild(script)
+} else {
+  MathJax.startup.document.state(0)
+  MathJax.texReset()
+  MathJax.typesetPromise()
+}</script><script>(()=>{
+  const init = () => {
+    twikoo.init(Object.assign({
+      el: '#twikoo-wrap',
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      onCommentLoaded: function () {
+        btf.loadLightbox(document.querySelectorAll('#twikoo .tk-content img:not(.tk-owo-emotion)'))
+      }
+    }, null))
+  }
+
+  const getCount = () => {
+    const countELement = document.getElementById('twikoo-count')
+    if(!countELement) return
+    twikoo.getCommentsCount({
+      envId: 'https://twikoo.refrain.cf/',
+      region: '',
+      urls: [window.location.pathname],
+      includeReply: false
+    }).then(function (res) {
+      countELement.textContent = res[0].count
+    }).catch(function (err) {
+      console.error(err);
+    });
+  }
+
+  const runFn = () => {
+    init()
+    
+  }
+
+  const loadTwikoo = () => {
+    if (typeof twikoo === 'object') {
+      setTimeout(runFn,0)
+      return
+    } 
+    getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runFn)
+  }
+
+  if ('Twikoo' === 'Twikoo' || !true) {
+    if (true) btf.loadComment(document.getElementById('twikoo-wrap'), loadTwikoo)
+    else loadTwikoo()
+  } else {
+    window.loadOtherComment = () => {
+      loadTwikoo()
+    }
+  }
+})()</script></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
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diff --git a/pwa/images/icons/icon-72x72.png b/pwa/images/icons/icon-72x72.png
new file mode 100644
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diff --git a/pwa/images/icons/icon-96x96.png b/pwa/images/icons/icon-96x96.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ddfd0ca4bb8118ea35f05cba030a80075061c7f
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diff --git a/service-worker.js b/service-worker.js
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new file mode 100644
index 000000000..8593c107e
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class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=page id=body-wrap><header class=not-home-page id=page-header style="background-image: url('https://npm.elemecdn.com/nova1751-sources/blogImg/top.jpg')"><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-search fa-fw"></i><span>搜索</span></a></div><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas 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{
+  const changeContent = (content) => {
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+
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+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
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+    if (content.length > 150) {
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+        pageSize: 6,
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+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
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+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
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+
+  const generateHtml = array => {
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+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
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+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
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+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
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+  const newestCommentInit = () => {
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+      if (data) {
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+    }
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+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
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+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
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+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
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+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
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+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
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+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
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+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
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+  for (var i=0;i<elist.length;i++){
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+      flag++;
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+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
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+  else if (epage === cpage){
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+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/tags/Windows/index.html b/tags/Windows/index.html
new file mode 100644
index 000000000..97188969c
--- /dev/null
+++ b/tags/Windows/index.html
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>标签: Windows | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=希亚的西红柿のBlog><meta property=og:url content=http://refrain.cf/tags/Windows/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/tags/Windows/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
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+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
+    success: '复制成功',
+    error: '复制错误',
+    noSupport: '浏览器不支持'
+  },
+  relativeDate: {
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+  },
+  runtime: '天',
+  dateSuffix: {
+    just: '刚刚',
+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
+    month: '个月前'
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+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
+  lightbox: 'fancybox',
+  Snackbar: undefined,
+  source: {
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+      js: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.js',
+      css: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.css'
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+  percent: {
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+    rightside: true,
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+  isHome: false,
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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/tags/cloudflare/index.html b/tags/cloudflare/index.html
new file mode 100644
index 000000000..7b653eb73
--- /dev/null
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class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=page id=body-wrap><header class=not-home-page id=page-header style="background-image: url('https://npm.elemecdn.com/nova1751-sources/blogImg/top.jpg')"><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-search fa-fw"></i><span>搜索</span></a></div><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas 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67)">虚拟机</a><a href="/tags/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/" style="font-size: 1.65em; color: rgb(162, 71, 117)">数据结构</a><a href="/tags/%E7%BA%BF%E6%80%A7%E8%A1%A8/" style="font-size: 1.2em; color: rgb(69, 145, 100)">线性表</a><a href="/tags/%E6%A0%88/" style="font-size: 1.2em; color: rgb(89, 64, 19)">栈</a><a href="/tags/%E9%98%9F%E5%88%97/" style="font-size: 1.2em; color: rgb(82, 43, 173)">队列</a><a href="/tags/%E7%BB%AA%E8%AE%BA/" style="font-size: 1.2em; color: rgb(5, 68, 100)">绪论</a><a href="/tags/Java/" style="font-size: 1.2em; color: rgb(135, 157, 195)">Java</a><a href="/tags/%E7%BC%96%E7%A8%8B%E5%AD%A6%E4%B9%A0/" style="font-size: 1.2em; color: rgb(199, 86, 47)">编程学习</a><a href="/tags/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/" style="font-size: 2.1em; color: rgb(127, 59, 114)">机器学习</a><a href="/tags/python/" style="font-size: 1.88em; color: rgb(108, 82, 29)">python</a><a href="/tags/%E5%86%B3%E7%AD%96%E6%A0%91/" style="font-size: 1.2em; color: rgb(192, 172, 173)">决策树</a><a 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+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
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+    if (typeof twikoo === 'object') {
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+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
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+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
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+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
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+    pjax.loadUrl('/404.html')
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+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
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\ No newline at end of file
diff --git a/tags/k-means/index.html b/tags/k-means/index.html
new file mode 100644
index 000000000..921210969
--- /dev/null
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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git "a/tags/\344\273\273\345\212\241\346\240\217/index.html" "b/tags/\344\273\273\345\212\241\346\240\217/index.html"
new file mode 100644
index 000000000..58280e5bc
--- /dev/null
+++ "b/tags/\344\273\273\345\212\241\346\240\217/index.html"
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>标签: 任务栏 | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=希亚的西红柿のBlog><meta property=og:url content=http://refrain.cf/tags/%E4%BB%BB%E5%8A%A1%E6%A0%8F/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/tags/%E4%BB%BB%E5%8A%A1%E6%A0%8F/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
+  root: '/',
+  algolia: {"appId":"F7ZHZW0YLX","apiKey":"b990de8d71cb9195d609960745ef872c","indexName":"blog-search","hits":{"per_page":6},"languages":{"input_placeholder":"搜索文章","hits_empty":"找不到您查询的内容：${query}","hits_stats":"找到 ${hits} 条结果，用时 ${time} 毫秒"}},
+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
+    success: '复制成功',
+    error: '复制错误',
+    noSupport: '浏览器不支持'
+  },
+  relativeDate: {
+    homepage: false,
+    post: false
+  },
+  runtime: '天',
+  dateSuffix: {
+    just: '刚刚',
+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
+    month: '个月前'
+  },
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card-categories"><div class=item-headline><i class="fas fa-folder-open"></i> <span>分类</span></div><ul class=card-category-list id=aside-cat-list><li class=card-category-list-item><a class=card-category-list-link href="/categories/DNS/"><span class=card-category-list-name>DNS</span><span class=card-category-list-count>1</span></a></li><li class=card-category-list-item><a class=card-category-list-link href="/categories/Java/"><span class=card-category-list-name>Java</span><span class=card-category-list-count>1</span></a></li><li class=card-category-list-item><a class=card-category-list-link href="/categories/%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84/"><span class=card-category-list-name>数据结构</span><span class=card-category-list-count>3</span></a></li><li class=card-category-list-item><a class=card-category-list-link href="/categories/%E6%9C%BA%E5%99%A8%E5%AD%A6%E4%B9%A0/"><span class=card-category-list-name>机器学习</span><span class=card-category-list-count>6</span></a></li><li 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+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
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+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
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+        result += `<div class='content'>
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class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=page id=body-wrap><header class=not-home-page id=page-header style="background-image: url('https://npm.elemecdn.com/nova1751-sources/blogImg/top.jpg')"><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-search fa-fw"></i><span>搜索</span></a></div><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas 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+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
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+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
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new file mode 100644
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--- /dev/null
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@@ -0,0 +1,347 @@
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{
+  const changeContent = (content) => {
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+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
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+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
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+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
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+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
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+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
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+        getComment()
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+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
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+var pjax = new Pjax({
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+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
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+document.addEventListener('pjax:send', function () {
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+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
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+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
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+  }
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+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
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+    const content = item.text || item.textContent || item.innerHTML || ""
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+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
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+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
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+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
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+      flag++;
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+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
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diff --git "a/tags/\346\240\210/index.html" "b/tags/\346\240\210/index.html"
new file mode 100644
index 000000000..b6bfb2441
--- /dev/null
+++ "b/tags/\346\240\210/index.html"
@@ -0,0 +1,347 @@
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+}
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class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas fa-archive"></i><span>归档</span></a></div><div class=menus_item><a class=site-page href="/tags/"><i class="fa-fw fas fa-tags"></i><span>标签</span></a></div><div class=menus_item><a class=site-page href="/categories/"><i class="fa-fw fas fa-folder-open"></i><span>分类</span></a></div><div class=menus_item><a class="site-page group" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fa-fw fas fa-list"></i><span>菜单</span><i class="fas fa-chevron-down"></i></a><ul class=menus_item_child><li><a class="site-page child" href="/music/"><i class="fa-fw fas fa-music"></i><span>音乐</span></a></li><li><a class="site-page child" href="/drive/"><i class="fa-fw fas fa-cloud"></i><span>网盘</span></a></li><li><a class="site-page child" target=_blank rel="noopener external nofollow noreferrer" href=https://blog.refrain.cf><i class="fa-fw iconfont icon-netlify"></i><span>博客镜像</span></a></li></ul></div><div class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=page id=body-wrap><header class=not-home-page id=page-header style="background-image: url('https://npm.elemecdn.com/nova1751-sources/blogImg/top.jpg')"><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-search fa-fw"></i><span>搜索</span></a></div><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas 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{
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git "a/tags/\347\272\277\346\200\247\345\233\236\345\275\222/index.html" "b/tags/\347\272\277\346\200\247\345\233\236\345\275\222/index.html"
new file mode 100644
index 000000000..31dfa6f21
--- /dev/null
+++ "b/tags/\347\272\277\346\200\247\345\233\236\345\275\222/index.html"
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>标签: 线性回归 | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=希亚的西红柿のBlog><meta property=og:url content=http://refrain.cf/tags/%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/tags/%E7%BA%BF%E6%80%A7%E5%9B%9E%E5%BD%92/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
+  root: '/',
+  algolia: {"appId":"F7ZHZW0YLX","apiKey":"b990de8d71cb9195d609960745ef872c","indexName":"blog-search","hits":{"per_page":6},"languages":{"input_placeholder":"搜索文章","hits_empty":"找不到您查询的内容：${query}","hits_stats":"找到 ${hits} 条结果，用时 ${time} 毫秒"}},
+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
+    success: '复制成功',
+    error: '复制错误',
+    noSupport: '浏览器不支持'
+  },
+  relativeDate: {
+    homepage: false,
+    post: false
+  },
+  runtime: '天',
+  dateSuffix: {
+    just: '刚刚',
+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
+    month: '个月前'
+  },
+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
+  lightbox: 'fancybox',
+  Snackbar: undefined,
+  source: {
+    justifiedGallery: {
+      js: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.js',
+      css: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.css'
+    }
+  },
+  isPhotoFigcaption: true,
+  islazyload: true,
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+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
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+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
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+        result += `<div class='content'>
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class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=page id=body-wrap><header class=not-home-page id=page-header style="background-image: url('https://npm.elemecdn.com/nova1751-sources/blogImg/top.jpg')"><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-search fa-fw"></i><span>搜索</span></a></div><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas 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class=title href="/posts/8d55d49a/" title=JAVA学习笔记>JAVA学习笔记</a><time datetime=2023-01-17T06:44:22.000Z title="发表于 2023-01-17 14:44:22">2023-01-17</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/6534ce06/" title=栈与队列><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=栈与队列></a><div class=content><a class=title href="/posts/6534ce06/" title=栈与队列>栈与队列</a><time datetime=2022-12-31T06:18:56.000Z title="发表于 2022-12-31 14:18:56">2022-12-31</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/40f24371/" title=线性表><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/dabg.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=线性表></a><div class=content><a class=title href="/posts/40f24371/" title=线性表>线性表</a><time datetime=2022-12-24T13:23:10.000Z title="发表于 2022-12-24 21:23:10">2022-12-24</time></div></div><div class=aside-list-item><a class=thumbnail href="/posts/b67f488/" title=Win10/11任务栏透明美化><img src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/postImg/tskbtf/cover.jpg onerror="this.onerror=null;this.src='/img/404.jpg'" alt=Win10/11任务栏透明美化></a><div class=content><a class=title href="/posts/b67f488/" title=Win10/11任务栏透明美化>Win10/11任务栏透明美化</a><time datetime=2022-12-02T12:18:18.000Z title="发表于 2022-12-02 20:18:18">2022-12-02</time></div></div></div></div><div class=card-widget id=card-newest-comments><div class=item-headline><i class="fas fa-comment-dots"></i><span>最新评论</span></div><div class=aside-list><span>正在加载中...</span></div></div><div class="card-widget card-categories"><div class=item-headline><i class="fas fa-folder-open"></i> <span>分类</span></div><ul 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+        generateHtml(twikooArray)
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+    if (typeof twikoo === 'object') {
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new file mode 100644
index 000000000..fd4c4499b
--- /dev/null
+++ "b/tags/\347\274\226\347\250\213\345\255\246\344\271\240/index.html"
@@ -0,0 +1,347 @@
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{
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
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+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
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+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
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+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git "a/tags/\347\276\216\345\214\226/index.html" "b/tags/\347\276\216\345\214\226/index.html"
new file mode 100644
index 000000000..5e5234b1a
--- /dev/null
+++ "b/tags/\347\276\216\345\214\226/index.html"
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>标签: 美化 | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=希亚的西红柿のBlog><meta property=og:url content=http://refrain.cf/tags/%E7%BE%8E%E5%8C%96/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/tags/%E7%BE%8E%E5%8C%96/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
+  root: '/',
+  algolia: {"appId":"F7ZHZW0YLX","apiKey":"b990de8d71cb9195d609960745ef872c","indexName":"blog-search","hits":{"per_page":6},"languages":{"input_placeholder":"搜索文章","hits_empty":"找不到您查询的内容：${query}","hits_stats":"找到 ${hits} 条结果，用时 ${time} 毫秒"}},
+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
+    success: '复制成功',
+    error: '复制错误',
+    noSupport: '浏览器不支持'
+  },
+  relativeDate: {
+    homepage: false,
+    post: false
+  },
+  runtime: '天',
+  dateSuffix: {
+    just: '刚刚',
+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
+    month: '个月前'
+  },
+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
+  lightbox: 'fancybox',
+  Snackbar: undefined,
+  source: {
+    justifiedGallery: {
+      js: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.js',
+      css: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.css'
+    }
+  },
+  isPhotoFigcaption: true,
+  islazyload: true,
+  isAnchor: true,
+  percent: {
+    toc: true,
+    rightside: true,
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+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
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+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
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+        result += `<div class='content'>
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class=menus_item><a class=site-page href="/comments/"><i class="fa-fw fas fa-comment-dots"></i><span>留言板</span></a></div></div></div></div><div class=page id=body-wrap><header class=not-home-page id=page-header style="background-image: url('https://npm.elemecdn.com/nova1751-sources/blogImg/top.jpg')"><nav id=nav><span id=blog-info><a href="/" title=希亚的西红柿のBlog><img class=site-icon src=data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7 data-lazy-src=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><span class=site-name>希亚的西红柿のBlog</span></a></span><div id=menus><div id=search-button><a class="site-page social-icon search" href=javascript:void(0); rel="external nofollow noreferrer"><i class="fas fa-search fa-fw"></i><span>搜索</span></a></div><div class=menus_items><div class=menus_item><a class=site-page href="/"><i class="fa-fw fas fa-home"></i><span>主页</span></a></div><div class=menus_item><a class=site-page href="/archives/"><i class="fa-fw fas 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{
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
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+    return content
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+  const getComment = () => {
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+        region: '',
+        pageSize: 6,
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+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
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+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
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+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
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+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
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+      }
+    } else {
+      result += '没有评论'
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+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
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+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
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+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
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+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
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+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
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+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
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+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
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+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
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+  typeof panguInit === 'function' && panguInit()
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+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
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+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
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+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
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diff --git "a/tags/\351\230\237\345\210\227/index.html" "b/tags/\351\230\237\345\210\227/index.html"
new file mode 100644
index 000000000..fd07d167c
--- /dev/null
+++ "b/tags/\351\230\237\345\210\227/index.html"
@@ -0,0 +1,347 @@
+<!DOCTYPE html><html lang=zh-CN data-theme=light><head><meta charset=UTF-8><meta http-equiv=X-UA-Compatible content="IE=edge"><meta name=viewport content="width=device-width, initial-scale=1.0,viewport-fit=cover"><title>标签: 队列 | 希亚的西红柿のBlog</title><meta name=author content=希亚的西红柿><meta name=copyright content=希亚的西红柿><meta name=format-detection content="telephone=no"><meta name=theme-color content=#ffffff><meta name=description content=个人博客><meta property=og:type content=website><meta property=og:title content=希亚的西红柿のBlog><meta property=og:url content=http://refrain.cf/tags/%E9%98%9F%E5%88%97/index.html><meta property=og:site_name content=希亚的西红柿のBlog><meta property=og:description content=个人博客><meta property=og:locale content=zh_CN><meta property=og:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><meta property=article:author content=希亚的西红柿><meta property=article:tag content="博客, 教程, 分享"><meta name=twitter:card content=summary><meta name=twitter:image content=https://npm.elemecdn.com/nova1751-sources/blogImg/noa.png><link rel="shortcut icon" href=https://npm.elemecdn.com/nova1751-sources/blogImg/icon.png><link rel=canonical href=http://refrain.cf/tags/%E9%98%9F%E5%88%97/index.html><link rel=preconnect href=//cdn.jsdelivr.net><link rel=preconnect href=//busuanzi.ibruce.info><link rel=manifest href=/pwa/manifest.json><link rel=apple-touch-icon sizes=180x180 href=/pwa/images/apple-touch-icon.png><link rel=icon type=image/png sizes=32x32 href=/pwa/images/32.png><link rel=icon type=image/png sizes=16x16 href=/pwa/images/16.png><link rel=mask-icon href=/pwa/images/safari-pinned-tab.svg color=#5bbad5><link rel=stylesheet href=/css/index.css><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fortawesome/fontawesome-free/css/all.min.css media=print onload="this.media='all'"><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.min.css media=print onload="this.media='all'"><script>const GLOBAL_CONFIG = {
+  root: '/',
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+  localSearch: undefined,
+  translate: {"defaultEncoding":1,"translateDelay":0,"msgToTraditionalChinese":"繁","msgToSimplifiedChinese":"简"},
+  noticeOutdate: {"limitDay":365,"position":"top","messagePrev":"It has been","messageNext":"days since the last update, the content of the article may be outdated."},
+  highlight: {"plugin":"highlighjs","highlightCopy":true,"highlightLang":true,"highlightHeightLimit":360},
+  copy: {
+    success: '复制成功',
+    error: '复制错误',
+    noSupport: '浏览器不支持'
+  },
+  relativeDate: {
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+    post: false
+  },
+  runtime: '天',
+  dateSuffix: {
+    just: '刚刚',
+    min: '分钟前',
+    hour: '小时前',
+    day: '天前',
+    month: '个月前'
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+  copyright: {"limitCount":50,"languages":{"author":"作者: 希亚的西红柿","link":"链接: ","source":"来源: 希亚的西红柿のBlog","info":"著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。"}},
+  lightbox: 'fancybox',
+  Snackbar: undefined,
+  source: {
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+      js: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.js',
+      css: 'https://cdn.jsdelivr.net/npm/flickr-justified-gallery/dist/fjGallery.min.css'
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+  percent: {
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+  autoDarkmode: false
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+  isToc: false,
+  postUpdate: '2023-09-27 11:51:16'
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+  #recent-posts time,
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+</style></noscript><script>(win=>{
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+        const item = {
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id=rightside><div id=rightside-config-hide><button id=translateLink type=button title=简繁转换>简</button><button id=darkmode type=button title=浅色和深色模式转换><i class="fas fa-adjust"></i></button><button id=hide-aside-btn type=button title=单栏和双栏切换><i class="fas fa-arrows-alt-h"></i></button></div><div id=rightside-config-show><button id=rightside_config type=button title=设置><i class="fas fa-cog fa-spin"></i></button><button id=go-up type=button title=回到顶部><span class=scroll-percent></span><i class="fas fa-arrow-up"></i></button></div></div><div><script src=/js/utils.js></script><script src=/js/main.js></script><script src=/js/tw_cn.js></script><script src=https://cdn.jsdelivr.net/npm/@fancyapps/ui/dist/fancybox/fancybox.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instant.page/instantpage.min.js type=module></script><script src=https://cdn.jsdelivr.net/npm/vanilla-lazyload/dist/lazyload.iife.min.js></script><div class=js-pjax></div><script>window.addEventListener('load', () => {
+  const changeContent = (content) => {
+    if (content === '') return content
+
+    content = content.replace(/<img.*?src="(.*?)"?[^\>]+>/ig, '[图片]') // replace image link
+    content = content.replace(/<a[^>]+?href=["']?([^"']+)["']?[^>]*>([^<]+)<\/a>/gi, '[链接]') // replace url
+    content = content.replace(/<pre><code>.*?<\/pre>/gi, '[代码]') // replace code
+    content = content.replace(/<[^>]+>/g,"") // remove html tag
+
+    if (content.length > 150) {
+      content = content.substring(0,150) + '...'
+    }
+    return content
+  }
+
+  const getComment = () => {
+    const runTwikoo = () => {
+      twikoo.getRecentComments({
+        envId: 'https://twikoo.refrain.cf/',
+        region: '',
+        pageSize: 6,
+        includeReply: true
+      }).then(function (res) {
+        const twikooArray = res.map(e => {
+          return {
+            'content': changeContent(e.comment),
+            'avatar': e.avatar,
+            'nick': e.nick,
+            'url': e.url + '#' + e.id,
+            'date': new Date(e.created).toISOString()
+          }
+        })
+
+        saveToLocal.set('twikoo-newest-comments', JSON.stringify(twikooArray), 10/(60*24))
+        generateHtml(twikooArray)
+      }).catch(function (err) {
+        const $dom = document.querySelector('#card-newest-comments .aside-list')
+        $dom.textContent= "无法获取评论，请确认相关配置是否正确"
+      })
+    }
+
+    if (typeof twikoo === 'object') {
+      runTwikoo()
+    } else {
+      getScript('https://cdn.jsdelivr.net/npm/twikoo/dist/twikoo.all.min.js').then(runTwikoo)
+    }
+  }
+
+  const generateHtml = array => {
+    let result = ''
+
+    if (array.length) {
+      for (let i = 0; i < array.length; i++) {
+        result += '<div class=\'aside-list-item\'>'
+
+        if (true) {
+          const name = 'data-lazy-src'
+          result += `<a href='${array[i].url}' class='thumbnail'><img ${name}='${array[i].avatar}' alt='${array[i].nick}'></a>`
+        }
+        
+        result += `<div class='content'>
+        <a class='comment' href='${array[i].url}' title='${array[i].content}'>${array[i].content}</a>
+        <div class='name'><span>${array[i].nick} / </span><time datetime="${array[i].date}">${btf.diffDate(array[i].date, true)}</time></div>
+        </div></div>`
+      }
+    } else {
+      result += '没有评论'
+    }
+
+    let $dom = document.querySelector('#card-newest-comments .aside-list')
+    $dom.innerHTML= result
+    window.lazyLoadInstance && window.lazyLoadInstance.update()
+    window.pjax && window.pjax.refresh($dom)
+  }
+
+  const newestCommentInit = () => {
+    if (document.querySelector('#card-newest-comments .aside-list')) {
+      const data = saveToLocal.get('twikoo-newest-comments')
+      if (data) {
+        generateHtml(JSON.parse(data))
+      } else {
+        getComment()
+      }
+    }
+  }
+
+  newestCommentInit()
+  document.addEventListener('pjax:complete', newestCommentInit)
+})</script><div id=my-aplayer class="aplayer no-destroy" data-id=705468337 data-server=netease data-type=playlist data-fixed=true 吸底模式可以固定播放器于页面底部 data-autoplay=false data-order=random data-volume=0.55 data-theme=#80c8f8 data-preload=none></div><script src=/js/hideLrc.js async></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/dist/activate-power-mode.min.js></script><script>POWERMODE.colorful = true;
+POWERMODE.shake = false;
+POWERMODE.mobile = false;
+document.body.addEventListener('input', POWERMODE);
+</script><link rel=stylesheet href=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.css media=print onload="this.media='all'"><script src=https://cdn.jsdelivr.net/npm/aplayer/dist/APlayer.min.js></script><script src=https://cdn.jsdelivr.net/npm/butterfly-extsrc/metingjs/dist/Meting.min.js></script><script src=https://cdn.jsdelivr.net/npm/pjax/pjax.min.js></script><script>let pjaxSelectors = ["head > title","#config-diff","#body-wrap","#rightside-config-hide","#rightside-config-show",".js-pjax"]
+
+var pjax = new Pjax({
+  elements: 'a:not([target="_blank"])',
+  selectors: pjaxSelectors,
+  cacheBust: false,
+  analytics: false,
+  scrollRestoration: false
+})
+
+document.addEventListener('pjax:send', function () {
+
+  // removeEventListener scroll 
+  window.tocScrollFn && window.removeEventListener('scroll', window.tocScrollFn)
+  window.scrollCollect && window.removeEventListener('scroll', scrollCollect)
+
+  document.getElementById('rightside').style.cssText = "opacity: ''; transform: ''"
+  
+  if (window.aplayers) {
+    for (let i = 0; i < window.aplayers.length; i++) {
+      if (!window.aplayers[i].options.fixed) {
+        window.aplayers[i].destroy()
+      }
+    }
+  }
+
+  typeof typed === 'object' && typed.destroy()
+
+  //reset readmode
+  const $bodyClassList = document.body.classList
+  $bodyClassList.contains('read-mode') && $bodyClassList.remove('read-mode')
+
+  typeof disqusjs === 'object' && disqusjs.destroy()
+})
+
+document.addEventListener('pjax:complete', function () {
+  window.refreshFn()
+
+  document.querySelectorAll('script[data-pjax]').forEach(item => {
+    const newScript = document.createElement('script')
+    const content = item.text || item.textContent || item.innerHTML || ""
+    Array.from(item.attributes).forEach(attr => newScript.setAttribute(attr.name, attr.value))
+    newScript.appendChild(document.createTextNode(content))
+    item.parentNode.replaceChild(newScript, item)
+  })
+
+  GLOBAL_CONFIG.islazyload && window.lazyLoadInstance.update()
+
+  typeof panguInit === 'function' && panguInit()
+
+  // google analytics
+  typeof gtag === 'function' && gtag('config', '', {'page_path': window.location.pathname});
+
+  // baidu analytics
+  typeof _hmt === 'object' && _hmt.push(['_trackPageview',window.location.pathname]);
+
+  typeof loadMeting === 'function' && document.getElementsByClassName('aplayer').length && loadMeting()
+
+  // prismjs
+  typeof Prism === 'object' && Prism.highlightAll()
+})
+
+document.addEventListener('pjax:error', (e) => {
+  if (e.request.status === 404) {
+    pjax.loadUrl('/404.html')
+  }
+})</script><script async data-pjax src=//busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js></script><div id=algolia-search><div class=search-dialog><nav class=search-nav><span class=search-dialog-title>搜索</span><button class=search-close-button><i class="fas fa-times"></i></button></nav><div class=search-wrap><div id=algolia-search-input></div><hr><div id=algolia-search-results><div id=algolia-hits></div><div id=algolia-pagination></div><div id=algolia-info><div class=algolia-stats></div><div class=algolia-poweredBy></div></div></div></div></div><div id=search-mask></div><script src=https://cdn.jsdelivr.net/npm/algoliasearch/dist/algoliasearch-lite.umd.min.js></script><script src=https://cdn.jsdelivr.net/npm/instantsearch.js/dist/instantsearch.production.min.js></script><script src=/js/search/algolia.js></script></div></div><script data-pjax>
+  function butterfly_clock_injector_config(){
+    var parent_div_git = document.getElementsByClassName('sticky_layout')[0];
+    var item_html = '<div class="card-widget card-clock"><div class="card-glass"><div class="card-background"><div class="card-content"><div id="hexo_electric_clock"><img class="entered loading" id="card-clock-loading" src= "data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" data-lazy-src="https://unpkg.com/hexo-butterfly-clock-nova1751/lib/loading.gif" style="height: 120px; width: 100%;" data-ll-status="loading"/></div></div></div></div></div>';
+    if(parent_div_git) {
+      parent_div_git.insertAdjacentHTML("afterbegin",item_html)
+    }
+  }
+  var elist = 'null'.split(',');
+  var cpage = location.pathname;
+  var epage = 'all';
+  var qweather_key = 'ec43383f3cf34cf5980da257996d16db';
+  var gaud_map_key = '42b66694cf0de3cdd1627f1b09aa977d';
+  var baidu_ak_key = 'undefined';
+  var flag = 0;
+  var clock_rectangle = '112.982279,28.19409';
+  var clock_default_rectangle_enable = 'false';
+
+  for (var i=0;i<elist.length;i++){
+    if (cpage.includes(elist[i])){
+      flag++;
+    }
+  }
+
+  if ((epage ==='all')&&(flag == 0)){
+    butterfly_clock_injector_config();
+  }
+  else if (epage === cpage){
+    butterfly_clock_injector_config();
+  }
+  </script><script src="https://widget.qweather.net/simple/static/js/he-simple-common.js?v=2.0"></script><script data-pjax src=https://unpkg.com/hexo-butterfly-clock-nova1751/lib/clock.min.js></script><script async src=//at.alicdn.com/t/font_2264842_3izu8i5eoc2.js></script></body></html>
\ No newline at end of file
diff --git a/workbox-f2630e7e.js b/workbox-f2630e7e.js
new file mode 100644
index 000000000..78f7b95c0
--- /dev/null
+++ b/workbox-f2630e7e.js
@@ -0,0 +1 @@
+define(["exports"],(function(e){"use strict";try{self["workbox:core:6.6.0"]&&_()}catch(e){}class t extends Error{constructor(e,t){super(((e,...t)=>{let s=e;return t.length>0&&(s+=` :: ${JSON.stringify(t)}`),s})(e,t)),this.name=e,this.details=t}}try{self["workbox:routing:6.6.0"]&&_()}catch(e){}const s=e=>e&&"object"==typeof e?e:{handle:e};class n{constructor(e,t,n="GET"){this.handler=s(t),this.match=e,this.method=n}setCatchHandler(e){this.catchHandler=s(e)}}class r extends n{constructor(e,t,s){super((({url:t})=>{const s=e.exec(t.href);if(s&&(t.origin===location.origin||0===s.index))return s.slice(1)}),t,s)}}class a{constructor(){this.t=new Map,this.i=new Map}get routes(){return 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o(e,s,a){let i;if("string"==typeof e){const t=new URL(e,location.href);i=new n((({url:e})=>e.href===t.href),s,a)}else if(e instanceof RegExp)i=new r(e,s,a);else if("function"==typeof e)i=new n(e,s,a);else{if(!(e instanceof n))throw new t("unsupported-route-type",{moduleName:"workbox-routing",funcName:"registerRoute",paramName:"capture"});i=e}return c().registerRoute(i),i}const h={googleAnalytics:"googleAnalytics",precache:"precache-v2",prefix:"workbox",runtime:"runtime",suffix:"undefined"!=typeof registration?registration.scope:""},l=e=>[h.prefix,e,h.suffix].filter((e=>e&&e.length>0)).join("-"),u=e=>e||l(h.precache);function f(e,t){const s=new URL(e);for(const e of t)s.searchParams.delete(e);return s.href}class d{constructor(){this.promise=new Promise(((e,t)=>{this.resolve=e,this.reject=t}))}}const p=new Set;try{self["workbox:strategies:6.6.0"]&&_()}catch(e){}function w(e){return"string"==typeof e?new Request(e):e}class 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\ No newline at end of file
diff --git a/workbox-f2630e7e.js.map b/workbox-f2630e7e.js.map
new file mode 100644
index 000000000..9cccf173e
--- /dev/null
+++ b/workbox-f2630e7e.js.map
@@ -0,0 +1 @@
+{"version":3,"file":"workbox-f2630e7e.js","sources":["node_modules/workbox-core/_version.js","node_modules/workbox-core/_private/logger.js","node_modules/workbox-core/models/messages/messageGenerator.js","node_modules/workbox-core/_private/WorkboxError.js","node_modules/workbox-routing/_version.js","node_modules/workbox-routing/utils/constants.js","node_modules/workbox-routing/utils/normalizeHandler.js","node_modules/workbox-routing/Route.js","node_modules/workbox-routing/RegExpRoute.js","node_modules/workbox-routing/Router.js","node_modules/workbox-routing/utils/getOrCreateDefaultRouter.js","node_modules/workbox-routing/registerRoute.js","node_modules/workbox-core/_private/cacheNames.js","node_modules/workbox-core/_private/cacheMatchIgnoreParams.js","node_modules/workbox-core/_private/Deferred.js","node_modules/workbox-core/models/quotaErrorCallbacks.js","node_modules/workbox-strategies/_version.js","node_modules/workbox-strategies/StrategyHandler.js","node_modules/workbox-core/_private/timeout.js","node_modules/workbox-core/_private/getFriendlyURL.js","node_modules/workbox-core/_private/executeQuotaErrorCallbacks.js","node_modules/workbox-strategies/Strategy.js","node_modules/workbox-core/_private/waitUntil.js","node_modules/workbox-precaching/_version.js","node_modules/workbox-precaching/utils/createCacheKey.js","node_modules/workbox-precaching/utils/PrecacheInstallReportPlugin.js","node_modules/workbox-precaching/utils/PrecacheCacheKeyPlugin.js","node_modules/workbox-core/_private/canConstructResponseFromBodyStream.js","node_modules/workbox-precaching/utils/getOrCreatePrecacheController.js","node_modules/workbox-core/copyResponse.js","node_modules/workbox-precaching/PrecacheStrategy.js","node_modules/workbox-precaching/PrecacheController.js","node_modules/workbox-precaching/PrecacheRoute.js","node_modules/workbox-precaching/utils/generateURLVariations.js","node_modules/workbox-precaching/utils/removeIgnoredSearchParams.js","node_modules/workbox-strategies/CacheFirst.js","node_modules/workbox-core/clientsClaim.js","node_modules/workbox-precaching/precacheAndRoute.js","node_modules/workbox-precaching/precache.js","node_modules/workbox-precaching/addRoute.js"],"sourcesContent":["\"use strict\";\n// @ts-ignore\ntry {\n    self['workbox:core:6.6.0'] && _();\n}\ncatch (e) { }\n","/*\n  Copyright 2019 Google LLC\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\nconst logger = (process.env.NODE_ENV === 'production'\n    ? null\n    : (() => {\n        // Don't overwrite this value if it's already set.\n        // See https://github.com/GoogleChrome/workbox/pull/2284#issuecomment-560470923\n        if (!('__WB_DISABLE_DEV_LOGS' in globalThis)) {\n            self.__WB_DISABLE_DEV_LOGS = false;\n        }\n        let inGroup = false;\n        const methodToColorMap = {\n            debug: `#7f8c8d`,\n            log: `#2ecc71`,\n            warn: `#f39c12`,\n            error: `#c0392b`,\n            groupCollapsed: `#3498db`,\n            groupEnd: null, // No colored prefix on groupEnd\n        };\n        const print = function (method, args) {\n            if (self.__WB_DISABLE_DEV_LOGS) {\n                return;\n            }\n            if (method === 'groupCollapsed') {\n                // Safari doesn't print all console.groupCollapsed() arguments:\n                // https://bugs.webkit.org/show_bug.cgi?id=182754\n                if (/^((?!chrome|android).)*safari/i.test(navigator.userAgent)) {\n                    console[method](...args);\n                    return;\n                }\n            }\n            const styles = [\n                `background: ${methodToColorMap[method]}`,\n                `border-radius: 0.5em`,\n                `color: white`,\n                `font-weight: bold`,\n                `padding: 2px 0.5em`,\n            ];\n            // When in a group, the workbox prefix is not displayed.\n            const logPrefix = inGroup ? [] : ['%cworkbox', styles.join(';')];\n            console[method](...logPrefix, ...args);\n            if (method === 'groupCollapsed') {\n                inGroup = true;\n            }\n            if (method === 'groupEnd') {\n                inGroup = false;\n            }\n        };\n        // eslint-disable-next-line @typescript-eslint/ban-types\n        const api = {};\n        const loggerMethods = Object.keys(methodToColorMap);\n        for (const key of loggerMethods) {\n            const method = key;\n            api[method] = (...args) => {\n                print(method, args);\n            };\n        }\n        return api;\n    })());\nexport { logger };\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { messages } from './messages.js';\nimport '../../_version.js';\nconst fallback = (code, ...args) => {\n    let msg = code;\n    if (args.length > 0) {\n        msg += ` :: ${JSON.stringify(args)}`;\n    }\n    return msg;\n};\nconst generatorFunction = (code, details = {}) => {\n    const message = messages[code];\n    if (!message) {\n        throw new Error(`Unable to find message for code '${code}'.`);\n    }\n    return message(details);\n};\nexport const messageGenerator = process.env.NODE_ENV === 'production' ? fallback : generatorFunction;\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { messageGenerator } from '../models/messages/messageGenerator.js';\nimport '../_version.js';\n/**\n * Workbox errors should be thrown with this class.\n * This allows use to ensure the type easily in tests,\n * helps developers identify errors from workbox\n * easily and allows use to optimise error\n * messages correctly.\n *\n * @private\n */\nclass WorkboxError extends Error {\n    /**\n     *\n     * @param {string} errorCode The error code that\n     * identifies this particular error.\n     * @param {Object=} details Any relevant arguments\n     * that will help developers identify issues should\n     * be added as a key on the context object.\n     */\n    constructor(errorCode, details) {\n        const message = messageGenerator(errorCode, details);\n        super(message);\n        this.name = errorCode;\n        this.details = details;\n    }\n}\nexport { WorkboxError };\n","\"use strict\";\n// @ts-ignore\ntry {\n    self['workbox:routing:6.6.0'] && _();\n}\ncatch (e) { }\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\n/**\n * The default HTTP method, 'GET', used when there's no specific method\n * configured for a route.\n *\n * @type {string}\n *\n * @private\n */\nexport const defaultMethod = 'GET';\n/**\n * The list of valid HTTP methods associated with requests that could be routed.\n *\n * @type {Array<string>}\n *\n * @private\n */\nexport const validMethods = [\n    'DELETE',\n    'GET',\n    'HEAD',\n    'PATCH',\n    'POST',\n    'PUT',\n];\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { assert } from 'workbox-core/_private/assert.js';\nimport '../_version.js';\n/**\n * @param {function()|Object} handler Either a function, or an object with a\n * 'handle' method.\n * @return {Object} An object with a handle method.\n *\n * @private\n */\nexport const normalizeHandler = (handler) => {\n    if (handler && typeof handler === 'object') {\n        if (process.env.NODE_ENV !== 'production') {\n            assert.hasMethod(handler, 'handle', {\n                moduleName: 'workbox-routing',\n                className: 'Route',\n                funcName: 'constructor',\n                paramName: 'handler',\n            });\n        }\n        return handler;\n    }\n    else {\n        if (process.env.NODE_ENV !== 'production') {\n            assert.isType(handler, 'function', {\n                moduleName: 'workbox-routing',\n                className: 'Route',\n                funcName: 'constructor',\n                paramName: 'handler',\n            });\n        }\n        return { handle: handler };\n    }\n};\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { assert } from 'workbox-core/_private/assert.js';\nimport { defaultMethod, validMethods } from './utils/constants.js';\nimport { normalizeHandler } from './utils/normalizeHandler.js';\nimport './_version.js';\n/**\n * A `Route` consists of a pair of callback functions, \"match\" and \"handler\".\n * The \"match\" callback determine if a route should be used to \"handle\" a\n * request by returning a non-falsy value if it can. The \"handler\" callback\n * is called when there is a match and should return a Promise that resolves\n * to a `Response`.\n *\n * @memberof workbox-routing\n */\nclass Route {\n    /**\n     * Constructor for Route class.\n     *\n     * @param {workbox-routing~matchCallback} match\n     * A callback function that determines whether the route matches a given\n     * `fetch` event by returning a non-falsy value.\n     * @param {workbox-routing~handlerCallback} handler A callback\n     * function that returns a Promise resolving to a Response.\n     * @param {string} [method='GET'] The HTTP method to match the Route\n     * against.\n     */\n    constructor(match, handler, method = defaultMethod) {\n        if (process.env.NODE_ENV !== 'production') {\n            assert.isType(match, 'function', {\n                moduleName: 'workbox-routing',\n                className: 'Route',\n                funcName: 'constructor',\n                paramName: 'match',\n            });\n            if (method) {\n                assert.isOneOf(method, validMethods, { paramName: 'method' });\n            }\n        }\n        // These values are referenced directly by Router so cannot be\n        // altered by minificaton.\n        this.handler = normalizeHandler(handler);\n        this.match = match;\n        this.method = method;\n    }\n    /**\n     *\n     * @param {workbox-routing-handlerCallback} handler A callback\n     * function that returns a Promise resolving to a Response\n     */\n    setCatchHandler(handler) {\n        this.catchHandler = normalizeHandler(handler);\n    }\n}\nexport { Route };\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { assert } from 'workbox-core/_private/assert.js';\nimport { logger } from 'workbox-core/_private/logger.js';\nimport { Route } from './Route.js';\nimport './_version.js';\n/**\n * RegExpRoute makes it easy to create a regular expression based\n * {@link workbox-routing.Route}.\n *\n * For same-origin requests the RegExp only needs to match part of the URL. For\n * requests against third-party servers, you must define a RegExp that matches\n * the start of the URL.\n *\n * @memberof workbox-routing\n * @extends workbox-routing.Route\n */\nclass RegExpRoute extends Route {\n    /**\n     * If the regular expression contains\n     * [capture groups]{@link https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/RegExp#grouping-back-references},\n     * the captured values will be passed to the\n     * {@link workbox-routing~handlerCallback} `params`\n     * argument.\n     *\n     * @param {RegExp} regExp The regular expression to match against URLs.\n     * @param {workbox-routing~handlerCallback} handler A callback\n     * function that returns a Promise resulting in a Response.\n     * @param {string} [method='GET'] The HTTP method to match the Route\n     * against.\n     */\n    constructor(regExp, handler, method) {\n        if (process.env.NODE_ENV !== 'production') {\n            assert.isInstance(regExp, RegExp, {\n                moduleName: 'workbox-routing',\n                className: 'RegExpRoute',\n                funcName: 'constructor',\n                paramName: 'pattern',\n            });\n        }\n        const match = ({ url }) => {\n            const result = regExp.exec(url.href);\n            // Return immediately if there's no match.\n            if (!result) {\n                return;\n            }\n            // Require that the match start at the first character in the URL string\n            // if it's a cross-origin request.\n            // See https://github.com/GoogleChrome/workbox/issues/281 for the context\n            // behind this behavior.\n            if (url.origin !== location.origin && result.index !== 0) {\n                if (process.env.NODE_ENV !== 'production') {\n                    logger.debug(`The regular expression '${regExp.toString()}' only partially matched ` +\n                        `against the cross-origin URL '${url.toString()}'. RegExpRoute's will only ` +\n                        `handle cross-origin requests if they match the entire URL.`);\n                }\n                return;\n            }\n            // If the route matches, but there aren't any capture groups defined, then\n            // this will return [], which is truthy and therefore sufficient to\n            // indicate a match.\n            // If there are capture groups, then it will return their values.\n            return result.slice(1);\n        };\n        super(match, handler, method);\n    }\n}\nexport { RegExpRoute };\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { assert } from 'workbox-core/_private/assert.js';\nimport { getFriendlyURL } from 'workbox-core/_private/getFriendlyURL.js';\nimport { defaultMethod } from './utils/constants.js';\nimport { logger } from 'workbox-core/_private/logger.js';\nimport { normalizeHandler } from './utils/normalizeHandler.js';\nimport { WorkboxError } from 'workbox-core/_private/WorkboxError.js';\nimport './_version.js';\n/**\n * The Router can be used to process a `FetchEvent` using one or more\n * {@link workbox-routing.Route}, responding with a `Response` if\n * a matching route exists.\n *\n * If no route matches a given a request, the Router will use a \"default\"\n * handler if one is defined.\n *\n * Should the matching Route throw an error, the Router will use a \"catch\"\n * handler if one is defined to gracefully deal with issues and respond with a\n * Request.\n *\n * If a request matches multiple routes, the **earliest** registered route will\n * be used to respond to the request.\n *\n * @memberof workbox-routing\n */\nclass Router {\n    /**\n     * Initializes a new Router.\n     */\n    constructor() {\n        this._routes = new Map();\n        this._defaultHandlerMap = new Map();\n    }\n    /**\n     * @return {Map<string, Array<workbox-routing.Route>>} routes A `Map` of HTTP\n     * method name ('GET', etc.) to an array of all the corresponding `Route`\n     * instances that are registered.\n     */\n    get routes() {\n        return this._routes;\n    }\n    /**\n     * Adds a fetch event listener to respond to events when a route matches\n     * the event's request.\n     */\n    addFetchListener() {\n        // See https://github.com/Microsoft/TypeScript/issues/28357#issuecomment-436484705\n        self.addEventListener('fetch', ((event) => {\n            const { request } = event;\n            const responsePromise = this.handleRequest({ request, event });\n            if (responsePromise) {\n                event.respondWith(responsePromise);\n            }\n        }));\n    }\n    /**\n     * Adds a message event listener for URLs to cache from the window.\n     * This is useful to cache resources loaded on the page prior to when the\n     * service worker started controlling it.\n     *\n     * The format of the message data sent from the window should be as follows.\n     * Where the `urlsToCache` array may consist of URL strings or an array of\n     * URL string + `requestInit` object (the same as you'd pass to `fetch()`).\n     *\n     * ```\n     * {\n     *   type: 'CACHE_URLS',\n     *   payload: {\n     *     urlsToCache: [\n     *       './script1.js',\n     *       './script2.js',\n     *       ['./script3.js', {mode: 'no-cors'}],\n     *     ],\n     *   },\n     * }\n     * ```\n     */\n    addCacheListener() {\n        // See https://github.com/Microsoft/TypeScript/issues/28357#issuecomment-436484705\n        self.addEventListener('message', ((event) => {\n            // event.data is type 'any'\n            // eslint-disable-next-line @typescript-eslint/no-unsafe-member-access\n            if (event.data && event.data.type === 'CACHE_URLS') {\n                // eslint-disable-next-line @typescript-eslint/no-unsafe-assignment\n                const { payload } = event.data;\n                if (process.env.NODE_ENV !== 'production') {\n                    logger.debug(`Caching URLs from the window`, payload.urlsToCache);\n                }\n                const requestPromises = Promise.all(payload.urlsToCache.map((entry) => {\n                    if (typeof entry === 'string') {\n                        entry = [entry];\n                    }\n                    const request = new Request(...entry);\n                    return this.handleRequest({ request, event });\n                    // TODO(philipwalton): TypeScript errors without this typecast for\n                    // some reason (probably a bug). The real type here should work but\n                    // doesn't: `Array<Promise<Response> | undefined>`.\n                })); // TypeScript\n                event.waitUntil(requestPromises);\n                // If a MessageChannel was used, reply to the message on success.\n                if (event.ports && event.ports[0]) {\n                    void requestPromises.then(() => event.ports[0].postMessage(true));\n                }\n            }\n        }));\n    }\n    /**\n     * Apply the routing rules to a FetchEvent object to get a Response from an\n     * appropriate Route's handler.\n     *\n     * @param {Object} options\n     * @param {Request} options.request The request to handle.\n     * @param {ExtendableEvent} options.event The event that triggered the\n     *     request.\n     * @return {Promise<Response>|undefined} A promise is returned if a\n     *     registered route can handle the request. If there is no matching\n     *     route and there's no `defaultHandler`, `undefined` is returned.\n     */\n    handleRequest({ request, event, }) {\n        if (process.env.NODE_ENV !== 'production') {\n            assert.isInstance(request, Request, {\n                moduleName: 'workbox-routing',\n                className: 'Router',\n                funcName: 'handleRequest',\n                paramName: 'options.request',\n            });\n        }\n        const url = new URL(request.url, location.href);\n        if (!url.protocol.startsWith('http')) {\n            if (process.env.NODE_ENV !== 'production') {\n                logger.debug(`Workbox Router only supports URLs that start with 'http'.`);\n            }\n            return;\n        }\n        const sameOrigin = url.origin === location.origin;\n        const { params, route } = this.findMatchingRoute({\n            event,\n            request,\n            sameOrigin,\n            url,\n        });\n        let handler = route && route.handler;\n        const debugMessages = [];\n        if (process.env.NODE_ENV !== 'production') {\n            if (handler) {\n                debugMessages.push([`Found a route to handle this request:`, route]);\n                if (params) {\n                    debugMessages.push([\n                        `Passing the following params to the route's handler:`,\n                        params,\n                    ]);\n                }\n            }\n        }\n        // If we don't have a handler because there was no matching route, then\n        // fall back to defaultHandler if that's defined.\n        const method = request.method;\n        if (!handler && this._defaultHandlerMap.has(method)) {\n            if (process.env.NODE_ENV !== 'production') {\n                debugMessages.push(`Failed to find a matching route. Falling ` +\n                    `back to the default handler for ${method}.`);\n            }\n            handler = this._defaultHandlerMap.get(method);\n        }\n        if (!handler) {\n            if (process.env.NODE_ENV !== 'production') {\n                // No handler so Workbox will do nothing. If logs is set of debug\n                // i.e. verbose, we should print out this information.\n                logger.debug(`No route found for: ${getFriendlyURL(url)}`);\n            }\n            return;\n        }\n        if (process.env.NODE_ENV !== 'production') {\n            // We have a handler, meaning Workbox is going to handle the route.\n            // print the routing details to the console.\n            logger.groupCollapsed(`Router is responding to: ${getFriendlyURL(url)}`);\n            debugMessages.forEach((msg) => {\n                if (Array.isArray(msg)) {\n                    logger.log(...msg);\n                }\n                else {\n                    logger.log(msg);\n                }\n            });\n            logger.groupEnd();\n        }\n        // Wrap in try and catch in case the handle method throws a synchronous\n        // error. It should still callback to the catch handler.\n        let responsePromise;\n        try {\n            responsePromise = handler.handle({ url, request, event, params });\n        }\n        catch (err) {\n            responsePromise = Promise.reject(err);\n        }\n        // Get route's catch handler, if it exists\n        const catchHandler = route && route.catchHandler;\n        if (responsePromise instanceof Promise &&\n            (this._catchHandler || catchHandler)) {\n            responsePromise = responsePromise.catch(async (err) => {\n                // If there's a route catch handler, process that first\n                if (catchHandler) {\n                    if (process.env.NODE_ENV !== 'production') {\n                        // Still include URL here as it will be async from the console group\n                        // and may not make sense without the URL\n                        logger.groupCollapsed(`Error thrown when responding to: ` +\n                            ` ${getFriendlyURL(url)}. Falling back to route's Catch Handler.`);\n                        logger.error(`Error thrown by:`, route);\n                        logger.error(err);\n                        logger.groupEnd();\n                    }\n                    try {\n                        return await catchHandler.handle({ url, request, event, params });\n                    }\n                    catch (catchErr) {\n                        if (catchErr instanceof Error) {\n                            err = catchErr;\n                        }\n                    }\n                }\n                if (this._catchHandler) {\n                    if (process.env.NODE_ENV !== 'production') {\n                        // Still include URL here as it will be async from the console group\n                        // and may not make sense without the URL\n                        logger.groupCollapsed(`Error thrown when responding to: ` +\n                            ` ${getFriendlyURL(url)}. Falling back to global Catch Handler.`);\n                        logger.error(`Error thrown by:`, route);\n                        logger.error(err);\n                        logger.groupEnd();\n                    }\n                    return this._catchHandler.handle({ url, request, event });\n                }\n                throw err;\n            });\n        }\n        return responsePromise;\n    }\n    /**\n     * Checks a request and URL (and optionally an event) against the list of\n     * registered routes, and if there's a match, returns the corresponding\n     * route along with any params generated by the match.\n     *\n     * @param {Object} options\n     * @param {URL} options.url\n     * @param {boolean} options.sameOrigin The result of comparing `url.origin`\n     *     against the current origin.\n     * @param {Request} options.request The request to match.\n     * @param {Event} options.event The corresponding event.\n     * @return {Object} An object with `route` and `params` properties.\n     *     They are populated if a matching route was found or `undefined`\n     *     otherwise.\n     */\n    findMatchingRoute({ url, sameOrigin, request, event, }) {\n        const routes = this._routes.get(request.method) || [];\n        for (const route of routes) {\n            let params;\n            // route.match returns type any, not possible to change right now.\n            // eslint-disable-next-line @typescript-eslint/no-unsafe-assignment\n            const matchResult = route.match({ url, sameOrigin, request, event });\n            if (matchResult) {\n                if (process.env.NODE_ENV !== 'production') {\n                    // Warn developers that using an async matchCallback is almost always\n                    // not the right thing to do.\n                    if (matchResult instanceof Promise) {\n                        logger.warn(`While routing ${getFriendlyURL(url)}, an async ` +\n                            `matchCallback function was used. Please convert the ` +\n                            `following route to use a synchronous matchCallback function:`, route);\n                    }\n                }\n                // See https://github.com/GoogleChrome/workbox/issues/2079\n                // eslint-disable-next-line @typescript-eslint/no-unsafe-assignment\n                params = matchResult;\n                if (Array.isArray(params) && params.length === 0) {\n                    // Instead of passing an empty array in as params, use undefined.\n                    params = undefined;\n                }\n                else if (matchResult.constructor === Object && // eslint-disable-line\n                    Object.keys(matchResult).length === 0) {\n                    // Instead of passing an empty object in as params, use undefined.\n                    params = undefined;\n                }\n                else if (typeof matchResult === 'boolean') {\n                    // For the boolean value true (rather than just something truth-y),\n                    // don't set params.\n                    // See https://github.com/GoogleChrome/workbox/pull/2134#issuecomment-513924353\n                    params = undefined;\n                }\n                // Return early if have a match.\n                return { route, params };\n            }\n        }\n        // If no match was found above, return and empty object.\n        return {};\n    }\n    /**\n     * Define a default `handler` that's called when no routes explicitly\n     * match the incoming request.\n     *\n     * Each HTTP method ('GET', 'POST', etc.) gets its own default handler.\n     *\n     * Without a default handler, unmatched requests will go against the\n     * network as if there were no service worker present.\n     *\n     * @param {workbox-routing~handlerCallback} handler A callback\n     * function that returns a Promise resulting in a Response.\n     * @param {string} [method='GET'] The HTTP method to associate with this\n     * default handler. Each method has its own default.\n     */\n    setDefaultHandler(handler, method = defaultMethod) {\n        this._defaultHandlerMap.set(method, normalizeHandler(handler));\n    }\n    /**\n     * If a Route throws an error while handling a request, this `handler`\n     * will be called and given a chance to provide a response.\n     *\n     * @param {workbox-routing~handlerCallback} handler A callback\n     * function that returns a Promise resulting in a Response.\n     */\n    setCatchHandler(handler) {\n        this._catchHandler = normalizeHandler(handler);\n    }\n    /**\n     * Registers a route with the router.\n     *\n     * @param {workbox-routing.Route} route The route to register.\n     */\n    registerRoute(route) {\n        if (process.env.NODE_ENV !== 'production') {\n            assert.isType(route, 'object', {\n                moduleName: 'workbox-routing',\n                className: 'Router',\n                funcName: 'registerRoute',\n                paramName: 'route',\n            });\n            assert.hasMethod(route, 'match', {\n                moduleName: 'workbox-routing',\n                className: 'Router',\n                funcName: 'registerRoute',\n                paramName: 'route',\n            });\n            assert.isType(route.handler, 'object', {\n                moduleName: 'workbox-routing',\n                className: 'Router',\n                funcName: 'registerRoute',\n                paramName: 'route',\n            });\n            assert.hasMethod(route.handler, 'handle', {\n                moduleName: 'workbox-routing',\n                className: 'Router',\n                funcName: 'registerRoute',\n                paramName: 'route.handler',\n            });\n            assert.isType(route.method, 'string', {\n                moduleName: 'workbox-routing',\n                className: 'Router',\n                funcName: 'registerRoute',\n                paramName: 'route.method',\n            });\n        }\n        if (!this._routes.has(route.method)) {\n            this._routes.set(route.method, []);\n        }\n        // Give precedence to all of the earlier routes by adding this additional\n        // route to the end of the array.\n        this._routes.get(route.method).push(route);\n    }\n    /**\n     * Unregisters a route with the router.\n     *\n     * @param {workbox-routing.Route} route The route to unregister.\n     */\n    unregisterRoute(route) {\n        if (!this._routes.has(route.method)) {\n            throw new WorkboxError('unregister-route-but-not-found-with-method', {\n                method: route.method,\n            });\n        }\n        const routeIndex = this._routes.get(route.method).indexOf(route);\n        if (routeIndex > -1) {\n            this._routes.get(route.method).splice(routeIndex, 1);\n        }\n        else {\n            throw new WorkboxError('unregister-route-route-not-registered');\n        }\n    }\n}\nexport { Router };\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { Router } from '../Router.js';\nimport '../_version.js';\nlet defaultRouter;\n/**\n * Creates a new, singleton Router instance if one does not exist. If one\n * does already exist, that instance is returned.\n *\n * @private\n * @return {Router}\n */\nexport const getOrCreateDefaultRouter = () => {\n    if (!defaultRouter) {\n        defaultRouter = new Router();\n        // The helpers that use the default Router assume these listeners exist.\n        defaultRouter.addFetchListener();\n        defaultRouter.addCacheListener();\n    }\n    return defaultRouter;\n};\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { logger } from 'workbox-core/_private/logger.js';\nimport { WorkboxError } from 'workbox-core/_private/WorkboxError.js';\nimport { Route } from './Route.js';\nimport { RegExpRoute } from './RegExpRoute.js';\nimport { getOrCreateDefaultRouter } from './utils/getOrCreateDefaultRouter.js';\nimport './_version.js';\n/**\n * Easily register a RegExp, string, or function with a caching\n * strategy to a singleton Router instance.\n *\n * This method will generate a Route for you if needed and\n * call {@link workbox-routing.Router#registerRoute}.\n *\n * @param {RegExp|string|workbox-routing.Route~matchCallback|workbox-routing.Route} capture\n * If the capture param is a `Route`, all other arguments will be ignored.\n * @param {workbox-routing~handlerCallback} [handler] A callback\n * function that returns a Promise resulting in a Response. This parameter\n * is required if `capture` is not a `Route` object.\n * @param {string} [method='GET'] The HTTP method to match the Route\n * against.\n * @return {workbox-routing.Route} The generated `Route`.\n *\n * @memberof workbox-routing\n */\nfunction registerRoute(capture, handler, method) {\n    let route;\n    if (typeof capture === 'string') {\n        const captureUrl = new URL(capture, location.href);\n        if (process.env.NODE_ENV !== 'production') {\n            if (!(capture.startsWith('/') || capture.startsWith('http'))) {\n                throw new WorkboxError('invalid-string', {\n                    moduleName: 'workbox-routing',\n                    funcName: 'registerRoute',\n                    paramName: 'capture',\n                });\n            }\n            // We want to check if Express-style wildcards are in the pathname only.\n            // TODO: Remove this log message in v4.\n            const valueToCheck = capture.startsWith('http')\n                ? captureUrl.pathname\n                : capture;\n            // See https://github.com/pillarjs/path-to-regexp#parameters\n            const wildcards = '[*:?+]';\n            if (new RegExp(`${wildcards}`).exec(valueToCheck)) {\n                logger.debug(`The '$capture' parameter contains an Express-style wildcard ` +\n                    `character (${wildcards}). Strings are now always interpreted as ` +\n                    `exact matches; use a RegExp for partial or wildcard matches.`);\n            }\n        }\n        const matchCallback = ({ url }) => {\n            if (process.env.NODE_ENV !== 'production') {\n                if (url.pathname === captureUrl.pathname &&\n                    url.origin !== captureUrl.origin) {\n                    logger.debug(`${capture} only partially matches the cross-origin URL ` +\n                        `${url.toString()}. This route will only handle cross-origin requests ` +\n                        `if they match the entire URL.`);\n                }\n            }\n            return url.href === captureUrl.href;\n        };\n        // If `capture` is a string then `handler` and `method` must be present.\n        route = new Route(matchCallback, handler, method);\n    }\n    else if (capture instanceof RegExp) {\n        // If `capture` is a `RegExp` then `handler` and `method` must be present.\n        route = new RegExpRoute(capture, handler, method);\n    }\n    else if (typeof capture === 'function') {\n        // If `capture` is a function then `handler` and `method` must be present.\n        route = new Route(capture, handler, method);\n    }\n    else if (capture instanceof Route) {\n        route = capture;\n    }\n    else {\n        throw new WorkboxError('unsupported-route-type', {\n            moduleName: 'workbox-routing',\n            funcName: 'registerRoute',\n            paramName: 'capture',\n        });\n    }\n    const defaultRouter = getOrCreateDefaultRouter();\n    defaultRouter.registerRoute(route);\n    return route;\n}\nexport { registerRoute };\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\nconst _cacheNameDetails = {\n    googleAnalytics: 'googleAnalytics',\n    precache: 'precache-v2',\n    prefix: 'workbox',\n    runtime: 'runtime',\n    suffix: typeof registration !== 'undefined' ? registration.scope : '',\n};\nconst _createCacheName = (cacheName) => {\n    return [_cacheNameDetails.prefix, cacheName, _cacheNameDetails.suffix]\n        .filter((value) => value && value.length > 0)\n        .join('-');\n};\nconst eachCacheNameDetail = (fn) => {\n    for (const key of Object.keys(_cacheNameDetails)) {\n        fn(key);\n    }\n};\nexport const cacheNames = {\n    updateDetails: (details) => {\n        eachCacheNameDetail((key) => {\n            if (typeof details[key] === 'string') {\n                _cacheNameDetails[key] = details[key];\n            }\n        });\n    },\n    getGoogleAnalyticsName: (userCacheName) => {\n        return userCacheName || _createCacheName(_cacheNameDetails.googleAnalytics);\n    },\n    getPrecacheName: (userCacheName) => {\n        return userCacheName || _createCacheName(_cacheNameDetails.precache);\n    },\n    getPrefix: () => {\n        return _cacheNameDetails.prefix;\n    },\n    getRuntimeName: (userCacheName) => {\n        return userCacheName || _createCacheName(_cacheNameDetails.runtime);\n    },\n    getSuffix: () => {\n        return _cacheNameDetails.suffix;\n    },\n};\n","/*\n  Copyright 2020 Google LLC\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\nfunction stripParams(fullURL, ignoreParams) {\n    const strippedURL = new URL(fullURL);\n    for (const param of ignoreParams) {\n        strippedURL.searchParams.delete(param);\n    }\n    return strippedURL.href;\n}\n/**\n * Matches an item in the cache, ignoring specific URL params. This is similar\n * to the `ignoreSearch` option, but it allows you to ignore just specific\n * params (while continuing to match on the others).\n *\n * @private\n * @param {Cache} cache\n * @param {Request} request\n * @param {Object} matchOptions\n * @param {Array<string>} ignoreParams\n * @return {Promise<Response|undefined>}\n */\nasync function cacheMatchIgnoreParams(cache, request, ignoreParams, matchOptions) {\n    const strippedRequestURL = stripParams(request.url, ignoreParams);\n    // If the request doesn't include any ignored params, match as normal.\n    if (request.url === strippedRequestURL) {\n        return cache.match(request, matchOptions);\n    }\n    // Otherwise, match by comparing keys\n    const keysOptions = Object.assign(Object.assign({}, matchOptions), { ignoreSearch: true });\n    const cacheKeys = await cache.keys(request, keysOptions);\n    for (const cacheKey of cacheKeys) {\n        const strippedCacheKeyURL = stripParams(cacheKey.url, ignoreParams);\n        if (strippedRequestURL === strippedCacheKeyURL) {\n            return cache.match(cacheKey, matchOptions);\n        }\n    }\n    return;\n}\nexport { cacheMatchIgnoreParams };\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\n/**\n * The Deferred class composes Promises in a way that allows for them to be\n * resolved or rejected from outside the constructor. In most cases promises\n * should be used directly, but Deferreds can be necessary when the logic to\n * resolve a promise must be separate.\n *\n * @private\n */\nclass Deferred {\n    /**\n     * Creates a promise and exposes its resolve and reject functions as methods.\n     */\n    constructor() {\n        this.promise = new Promise((resolve, reject) => {\n            this.resolve = resolve;\n            this.reject = reject;\n        });\n    }\n}\nexport { Deferred };\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\n// Callbacks to be executed whenever there's a quota error.\n// Can't change Function type right now.\n// eslint-disable-next-line @typescript-eslint/ban-types\nconst quotaErrorCallbacks = new Set();\nexport { quotaErrorCallbacks };\n","\"use strict\";\n// @ts-ignore\ntry {\n    self['workbox:strategies:6.6.0'] && _();\n}\ncatch (e) { }\n","/*\n  Copyright 2020 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { assert } from 'workbox-core/_private/assert.js';\nimport { cacheMatchIgnoreParams } from 'workbox-core/_private/cacheMatchIgnoreParams.js';\nimport { Deferred } from 'workbox-core/_private/Deferred.js';\nimport { executeQuotaErrorCallbacks } from 'workbox-core/_private/executeQuotaErrorCallbacks.js';\nimport { getFriendlyURL } from 'workbox-core/_private/getFriendlyURL.js';\nimport { logger } from 'workbox-core/_private/logger.js';\nimport { timeout } from 'workbox-core/_private/timeout.js';\nimport { WorkboxError } from 'workbox-core/_private/WorkboxError.js';\nimport './_version.js';\nfunction toRequest(input) {\n    return typeof input === 'string' ? new Request(input) : input;\n}\n/**\n * A class created every time a Strategy instance instance calls\n * {@link workbox-strategies.Strategy~handle} or\n * {@link workbox-strategies.Strategy~handleAll} that wraps all fetch and\n * cache actions around plugin callbacks and keeps track of when the strategy\n * is \"done\" (i.e. all added `event.waitUntil()` promises have resolved).\n *\n * @memberof workbox-strategies\n */\nclass StrategyHandler {\n    /**\n     * Creates a new instance associated with the passed strategy and event\n     * that's handling the request.\n     *\n     * The constructor also initializes the state that will be passed to each of\n     * the plugins handling this request.\n     *\n     * @param {workbox-strategies.Strategy} strategy\n     * @param {Object} options\n     * @param {Request|string} options.request A request to run this strategy for.\n     * @param {ExtendableEvent} options.event The event associated with the\n     *     request.\n     * @param {URL} [options.url]\n     * @param {*} [options.params] The return value from the\n     *     {@link workbox-routing~matchCallback} (if applicable).\n     */\n    constructor(strategy, options) {\n        this._cacheKeys = {};\n        /**\n         * The request the strategy is performing (passed to the strategy's\n         * `handle()` or `handleAll()` method).\n         * @name request\n         * @instance\n         * @type {Request}\n         * @memberof workbox-strategies.StrategyHandler\n         */\n        /**\n         * The event associated with this request.\n         * @name event\n         * @instance\n         * @type {ExtendableEvent}\n         * @memberof workbox-strategies.StrategyHandler\n         */\n        /**\n         * A `URL` instance of `request.url` (if passed to the strategy's\n         * `handle()` or `handleAll()` method).\n         * Note: the `url` param will be present if the strategy was invoked\n         * from a workbox `Route` object.\n         * @name url\n         * @instance\n         * @type {URL|undefined}\n         * @memberof workbox-strategies.StrategyHandler\n         */\n        /**\n         * A `param` value (if passed to the strategy's\n         * `handle()` or `handleAll()` method).\n         * Note: the `param` param will be present if the strategy was invoked\n         * from a workbox `Route` object and the\n         * {@link workbox-routing~matchCallback} returned\n         * a truthy value (it will be that value).\n         * @name params\n         * @instance\n         * @type {*|undefined}\n         * @memberof workbox-strategies.StrategyHandler\n         */\n        if (process.env.NODE_ENV !== 'production') {\n            assert.isInstance(options.event, ExtendableEvent, {\n                moduleName: 'workbox-strategies',\n                className: 'StrategyHandler',\n                funcName: 'constructor',\n                paramName: 'options.event',\n            });\n        }\n        Object.assign(this, options);\n        this.event = options.event;\n        this._strategy = strategy;\n        this._handlerDeferred = new Deferred();\n        this._extendLifetimePromises = [];\n        // Copy the plugins list (since it's mutable on the strategy),\n        // so any mutations don't affect this handler instance.\n        this._plugins = [...strategy.plugins];\n        this._pluginStateMap = new Map();\n        for (const plugin of this._plugins) {\n            this._pluginStateMap.set(plugin, {});\n        }\n        this.event.waitUntil(this._handlerDeferred.promise);\n    }\n    /**\n     * Fetches a given request (and invokes any applicable plugin callback\n     * methods) using the `fetchOptions` (for non-navigation requests) and\n     * `plugins` defined on the `Strategy` object.\n     *\n     * The following plugin lifecycle methods are invoked when using this method:\n     * - `requestWillFetch()`\n     * - `fetchDidSucceed()`\n     * - `fetchDidFail()`\n     *\n     * @param {Request|string} input The URL or request to fetch.\n     * @return {Promise<Response>}\n     */\n    async fetch(input) {\n        const { event } = this;\n        let request = toRequest(input);\n        if (request.mode === 'navigate' &&\n            event instanceof FetchEvent &&\n            event.preloadResponse) {\n            const possiblePreloadResponse = (await event.preloadResponse);\n            if (possiblePreloadResponse) {\n                if (process.env.NODE_ENV !== 'production') {\n                    logger.log(`Using a preloaded navigation response for ` +\n                        `'${getFriendlyURL(request.url)}'`);\n                }\n                return possiblePreloadResponse;\n            }\n        }\n        // If there is a fetchDidFail plugin, we need to save a clone of the\n        // original request before it's either modified by a requestWillFetch\n        // plugin or before the original request's body is consumed via fetch().\n        const originalRequest = this.hasCallback('fetchDidFail')\n            ? request.clone()\n            : null;\n        try {\n            for (const cb of this.iterateCallbacks('requestWillFetch')) {\n                request = await cb({ request: request.clone(), event });\n            }\n        }\n        catch (err) {\n            if (err instanceof Error) {\n                throw new WorkboxError('plugin-error-request-will-fetch', {\n                    thrownErrorMessage: err.message,\n                });\n            }\n        }\n        // The request can be altered by plugins with `requestWillFetch` making\n        // the original request (most likely from a `fetch` event) different\n        // from the Request we make. Pass both to `fetchDidFail` to aid debugging.\n        const pluginFilteredRequest = request.clone();\n        try {\n            let fetchResponse;\n            // See https://github.com/GoogleChrome/workbox/issues/1796\n            fetchResponse = await fetch(request, request.mode === 'navigate' ? undefined : this._strategy.fetchOptions);\n            if (process.env.NODE_ENV !== 'production') {\n                logger.debug(`Network request for ` +\n                    `'${getFriendlyURL(request.url)}' returned a response with ` +\n                    `status '${fetchResponse.status}'.`);\n            }\n            for (const callback of this.iterateCallbacks('fetchDidSucceed')) {\n                fetchResponse = await callback({\n                    event,\n                    request: pluginFilteredRequest,\n                    response: fetchResponse,\n                });\n            }\n            return fetchResponse;\n        }\n        catch (error) {\n            if (process.env.NODE_ENV !== 'production') {\n                logger.log(`Network request for ` +\n                    `'${getFriendlyURL(request.url)}' threw an error.`, error);\n            }\n            // `originalRequest` will only exist if a `fetchDidFail` callback\n            // is being used (see above).\n            if (originalRequest) {\n                await this.runCallbacks('fetchDidFail', {\n                    error: error,\n                    event,\n                    originalRequest: originalRequest.clone(),\n                    request: pluginFilteredRequest.clone(),\n                });\n            }\n            throw error;\n        }\n    }\n    /**\n     * Calls `this.fetch()` and (in the background) runs `this.cachePut()` on\n     * the response generated by `this.fetch()`.\n     *\n     * The call to `this.cachePut()` automatically invokes `this.waitUntil()`,\n     * so you do not have to manually call `waitUntil()` on the event.\n     *\n     * @param {Request|string} input The request or URL to fetch and cache.\n     * @return {Promise<Response>}\n     */\n    async fetchAndCachePut(input) {\n        const response = await this.fetch(input);\n        const responseClone = response.clone();\n        void this.waitUntil(this.cachePut(input, responseClone));\n        return response;\n    }\n    /**\n     * Matches a request from the cache (and invokes any applicable plugin\n     * callback methods) using the `cacheName`, `matchOptions`, and `plugins`\n     * defined on the strategy object.\n     *\n     * The following plugin lifecycle methods are invoked when using this method:\n     * - cacheKeyWillByUsed()\n     * - cachedResponseWillByUsed()\n     *\n     * @param {Request|string} key The Request or URL to use as the cache key.\n     * @return {Promise<Response|undefined>} A matching response, if found.\n     */\n    async cacheMatch(key) {\n        const request = toRequest(key);\n        let cachedResponse;\n        const { cacheName, matchOptions } = this._strategy;\n        const effectiveRequest = await this.getCacheKey(request, 'read');\n        const multiMatchOptions = Object.assign(Object.assign({}, matchOptions), { cacheName });\n        cachedResponse = await caches.match(effectiveRequest, multiMatchOptions);\n        if (process.env.NODE_ENV !== 'production') {\n            if (cachedResponse) {\n                logger.debug(`Found a cached response in '${cacheName}'.`);\n            }\n            else {\n                logger.debug(`No cached response found in '${cacheName}'.`);\n            }\n        }\n        for (const callback of this.iterateCallbacks('cachedResponseWillBeUsed')) {\n            cachedResponse =\n                (await callback({\n                    cacheName,\n                    matchOptions,\n                    cachedResponse,\n                    request: effectiveRequest,\n                    event: this.event,\n                })) || undefined;\n        }\n        return cachedResponse;\n    }\n    /**\n     * Puts a request/response pair in the cache (and invokes any applicable\n     * plugin callback methods) using the `cacheName` and `plugins` defined on\n     * the strategy object.\n     *\n     * The following plugin lifecycle methods are invoked when using this method:\n     * - cacheKeyWillByUsed()\n     * - cacheWillUpdate()\n     * - cacheDidUpdate()\n     *\n     * @param {Request|string} key The request or URL to use as the cache key.\n     * @param {Response} response The response to cache.\n     * @return {Promise<boolean>} `false` if a cacheWillUpdate caused the response\n     * not be cached, and `true` otherwise.\n     */\n    async cachePut(key, response) {\n        const request = toRequest(key);\n        // Run in the next task to avoid blocking other cache reads.\n        // https://github.com/w3c/ServiceWorker/issues/1397\n        await timeout(0);\n        const effectiveRequest = await this.getCacheKey(request, 'write');\n        if (process.env.NODE_ENV !== 'production') {\n            if (effectiveRequest.method && effectiveRequest.method !== 'GET') {\n                throw new WorkboxError('attempt-to-cache-non-get-request', {\n                    url: getFriendlyURL(effectiveRequest.url),\n                    method: effectiveRequest.method,\n                });\n            }\n            // See https://github.com/GoogleChrome/workbox/issues/2818\n            const vary = response.headers.get('Vary');\n            if (vary) {\n                logger.debug(`The response for ${getFriendlyURL(effectiveRequest.url)} ` +\n                    `has a 'Vary: ${vary}' header. ` +\n                    `Consider setting the {ignoreVary: true} option on your strategy ` +\n                    `to ensure cache matching and deletion works as expected.`);\n            }\n        }\n        if (!response) {\n            if (process.env.NODE_ENV !== 'production') {\n                logger.error(`Cannot cache non-existent response for ` +\n                    `'${getFriendlyURL(effectiveRequest.url)}'.`);\n            }\n            throw new WorkboxError('cache-put-with-no-response', {\n                url: getFriendlyURL(effectiveRequest.url),\n            });\n        }\n        const responseToCache = await this._ensureResponseSafeToCache(response);\n        if (!responseToCache) {\n            if (process.env.NODE_ENV !== 'production') {\n                logger.debug(`Response '${getFriendlyURL(effectiveRequest.url)}' ` +\n                    `will not be cached.`, responseToCache);\n            }\n            return false;\n        }\n        const { cacheName, matchOptions } = this._strategy;\n        const cache = await self.caches.open(cacheName);\n        const hasCacheUpdateCallback = this.hasCallback('cacheDidUpdate');\n        const oldResponse = hasCacheUpdateCallback\n            ? await cacheMatchIgnoreParams(\n            // TODO(philipwalton): the `__WB_REVISION__` param is a precaching\n            // feature. Consider into ways to only add this behavior if using\n            // precaching.\n            cache, effectiveRequest.clone(), ['__WB_REVISION__'], matchOptions)\n            : null;\n        if (process.env.NODE_ENV !== 'production') {\n            logger.debug(`Updating the '${cacheName}' cache with a new Response ` +\n                `for ${getFriendlyURL(effectiveRequest.url)}.`);\n        }\n        try {\n            await cache.put(effectiveRequest, hasCacheUpdateCallback ? responseToCache.clone() : responseToCache);\n        }\n        catch (error) {\n            if (error instanceof Error) {\n                // See https://developer.mozilla.org/en-US/docs/Web/API/DOMException#exception-QuotaExceededError\n                if (error.name === 'QuotaExceededError') {\n                    await executeQuotaErrorCallbacks();\n                }\n                throw error;\n            }\n        }\n        for (const callback of this.iterateCallbacks('cacheDidUpdate')) {\n            await callback({\n                cacheName,\n                oldResponse,\n                newResponse: responseToCache.clone(),\n                request: effectiveRequest,\n                event: this.event,\n            });\n        }\n        return true;\n    }\n    /**\n     * Checks the list of plugins for the `cacheKeyWillBeUsed` callback, and\n     * executes any of those callbacks found in sequence. The final `Request`\n     * object returned by the last plugin is treated as the cache key for cache\n     * reads and/or writes. If no `cacheKeyWillBeUsed` plugin callbacks have\n     * been registered, the passed request is returned unmodified\n     *\n     * @param {Request} request\n     * @param {string} mode\n     * @return {Promise<Request>}\n     */\n    async getCacheKey(request, mode) {\n        const key = `${request.url} | ${mode}`;\n        if (!this._cacheKeys[key]) {\n            let effectiveRequest = request;\n            for (const callback of this.iterateCallbacks('cacheKeyWillBeUsed')) {\n                effectiveRequest = toRequest(await callback({\n                    mode,\n                    request: effectiveRequest,\n                    event: this.event,\n                    // params has a type any can't change right now.\n                    params: this.params, // eslint-disable-line\n                }));\n            }\n            this._cacheKeys[key] = effectiveRequest;\n        }\n        return this._cacheKeys[key];\n    }\n    /**\n     * Returns true if the strategy has at least one plugin with the given\n     * callback.\n     *\n     * @param {string} name The name of the callback to check for.\n     * @return {boolean}\n     */\n    hasCallback(name) {\n        for (const plugin of this._strategy.plugins) {\n            if (name in plugin) {\n                return true;\n            }\n        }\n        return false;\n    }\n    /**\n     * Runs all plugin callbacks matching the given name, in order, passing the\n     * given param object (merged ith the current plugin state) as the only\n     * argument.\n     *\n     * Note: since this method runs all plugins, it's not suitable for cases\n     * where the return value of a callback needs to be applied prior to calling\n     * the next callback. See\n     * {@link workbox-strategies.StrategyHandler#iterateCallbacks}\n     * below for how to handle that case.\n     *\n     * @param {string} name The name of the callback to run within each plugin.\n     * @param {Object} param The object to pass as the first (and only) param\n     *     when executing each callback. This object will be merged with the\n     *     current plugin state prior to callback execution.\n     */\n    async runCallbacks(name, param) {\n        for (const callback of this.iterateCallbacks(name)) {\n            // TODO(philipwalton): not sure why `any` is needed. It seems like\n            // this should work with `as WorkboxPluginCallbackParam[C]`.\n            await callback(param);\n        }\n    }\n    /**\n     * Accepts a callback and returns an iterable of matching plugin callbacks,\n     * where each callback is wrapped with the current handler state (i.e. when\n     * you call each callback, whatever object parameter you pass it will\n     * be merged with the plugin's current state).\n     *\n     * @param {string} name The name fo the callback to run\n     * @return {Array<Function>}\n     */\n    *iterateCallbacks(name) {\n        for (const plugin of this._strategy.plugins) {\n            if (typeof plugin[name] === 'function') {\n                const state = this._pluginStateMap.get(plugin);\n                const statefulCallback = (param) => {\n                    const statefulParam = Object.assign(Object.assign({}, param), { state });\n                    // TODO(philipwalton): not sure why `any` is needed. It seems like\n                    // this should work with `as WorkboxPluginCallbackParam[C]`.\n                    return plugin[name](statefulParam);\n                };\n                yield statefulCallback;\n            }\n        }\n    }\n    /**\n     * Adds a promise to the\n     * [extend lifetime promises]{@link https://w3c.github.io/ServiceWorker/#extendableevent-extend-lifetime-promises}\n     * of the event event associated with the request being handled (usually a\n     * `FetchEvent`).\n     *\n     * Note: you can await\n     * {@link workbox-strategies.StrategyHandler~doneWaiting}\n     * to know when all added promises have settled.\n     *\n     * @param {Promise} promise A promise to add to the extend lifetime promises\n     *     of the event that triggered the request.\n     */\n    waitUntil(promise) {\n        this._extendLifetimePromises.push(promise);\n        return promise;\n    }\n    /**\n     * Returns a promise that resolves once all promises passed to\n     * {@link workbox-strategies.StrategyHandler~waitUntil}\n     * have settled.\n     *\n     * Note: any work done after `doneWaiting()` settles should be manually\n     * passed to an event's `waitUntil()` method (not this handler's\n     * `waitUntil()` method), otherwise the service worker thread my be killed\n     * prior to your work completing.\n     */\n    async doneWaiting() {\n        let promise;\n        while ((promise = this._extendLifetimePromises.shift())) {\n            await promise;\n        }\n    }\n    /**\n     * Stops running the strategy and immediately resolves any pending\n     * `waitUntil()` promises.\n     */\n    destroy() {\n        this._handlerDeferred.resolve(null);\n    }\n    /**\n     * This method will call cacheWillUpdate on the available plugins (or use\n     * status === 200) to determine if the Response is safe and valid to cache.\n     *\n     * @param {Request} options.request\n     * @param {Response} options.response\n     * @return {Promise<Response|undefined>}\n     *\n     * @private\n     */\n    async _ensureResponseSafeToCache(response) {\n        let responseToCache = response;\n        let pluginsUsed = false;\n        for (const callback of this.iterateCallbacks('cacheWillUpdate')) {\n            responseToCache =\n                (await callback({\n                    request: this.request,\n                    response: responseToCache,\n                    event: this.event,\n                })) || undefined;\n            pluginsUsed = true;\n            if (!responseToCache) {\n                break;\n            }\n        }\n        if (!pluginsUsed) {\n            if (responseToCache && responseToCache.status !== 200) {\n                responseToCache = undefined;\n            }\n            if (process.env.NODE_ENV !== 'production') {\n                if (responseToCache) {\n                    if (responseToCache.status !== 200) {\n                        if (responseToCache.status === 0) {\n                            logger.warn(`The response for '${this.request.url}' ` +\n                                `is an opaque response. The caching strategy that you're ` +\n                                `using will not cache opaque responses by default.`);\n                        }\n                        else {\n                            logger.debug(`The response for '${this.request.url}' ` +\n                                `returned a status code of '${response.status}' and won't ` +\n                                `be cached as a result.`);\n                        }\n                    }\n                }\n            }\n        }\n        return responseToCache;\n    }\n}\nexport { StrategyHandler };\n","/*\n  Copyright 2019 Google LLC\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\n/**\n * Returns a promise that resolves and the passed number of milliseconds.\n * This utility is an async/await-friendly version of `setTimeout`.\n *\n * @param {number} ms\n * @return {Promise}\n * @private\n */\nexport function timeout(ms) {\n    return new Promise((resolve) => setTimeout(resolve, ms));\n}\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\nconst getFriendlyURL = (url) => {\n    const urlObj = new URL(String(url), location.href);\n    // See https://github.com/GoogleChrome/workbox/issues/2323\n    // We want to include everything, except for the origin if it's same-origin.\n    return urlObj.href.replace(new RegExp(`^${location.origin}`), '');\n};\nexport { getFriendlyURL };\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { logger } from '../_private/logger.js';\nimport { quotaErrorCallbacks } from '../models/quotaErrorCallbacks.js';\nimport '../_version.js';\n/**\n * Runs all of the callback functions, one at a time sequentially, in the order\n * in which they were registered.\n *\n * @memberof workbox-core\n * @private\n */\nasync function executeQuotaErrorCallbacks() {\n    if (process.env.NODE_ENV !== 'production') {\n        logger.log(`About to run ${quotaErrorCallbacks.size} ` +\n            `callbacks to clean up caches.`);\n    }\n    for (const callback of quotaErrorCallbacks) {\n        await callback();\n        if (process.env.NODE_ENV !== 'production') {\n            logger.log(callback, 'is complete.');\n        }\n    }\n    if (process.env.NODE_ENV !== 'production') {\n        logger.log('Finished running callbacks.');\n    }\n}\nexport { executeQuotaErrorCallbacks };\n","/*\n  Copyright 2020 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { cacheNames } from 'workbox-core/_private/cacheNames.js';\nimport { WorkboxError } from 'workbox-core/_private/WorkboxError.js';\nimport { logger } from 'workbox-core/_private/logger.js';\nimport { getFriendlyURL } from 'workbox-core/_private/getFriendlyURL.js';\nimport { StrategyHandler } from './StrategyHandler.js';\nimport './_version.js';\n/**\n * An abstract base class that all other strategy classes must extend from:\n *\n * @memberof workbox-strategies\n */\nclass Strategy {\n    /**\n     * Creates a new instance of the strategy and sets all documented option\n     * properties as public instance properties.\n     *\n     * Note: if a custom strategy class extends the base Strategy class and does\n     * not need more than these properties, it does not need to define its own\n     * constructor.\n     *\n     * @param {Object} [options]\n     * @param {string} [options.cacheName] Cache name to store and retrieve\n     * requests. Defaults to the cache names provided by\n     * {@link workbox-core.cacheNames}.\n     * @param {Array<Object>} [options.plugins] [Plugins]{@link https://developers.google.com/web/tools/workbox/guides/using-plugins}\n     * to use in conjunction with this caching strategy.\n     * @param {Object} [options.fetchOptions] Values passed along to the\n     * [`init`](https://developer.mozilla.org/en-US/docs/Web/API/WindowOrWorkerGlobalScope/fetch#Parameters)\n     * of [non-navigation](https://github.com/GoogleChrome/workbox/issues/1796)\n     * `fetch()` requests made by this strategy.\n     * @param {Object} [options.matchOptions] The\n     * [`CacheQueryOptions`]{@link https://w3c.github.io/ServiceWorker/#dictdef-cachequeryoptions}\n     * for any `cache.match()` or `cache.put()` calls made by this strategy.\n     */\n    constructor(options = {}) {\n        /**\n         * Cache name to store and retrieve\n         * requests. Defaults to the cache names provided by\n         * {@link workbox-core.cacheNames}.\n         *\n         * @type {string}\n         */\n        this.cacheName = cacheNames.getRuntimeName(options.cacheName);\n        /**\n         * The list\n         * [Plugins]{@link https://developers.google.com/web/tools/workbox/guides/using-plugins}\n         * used by this strategy.\n         *\n         * @type {Array<Object>}\n         */\n        this.plugins = options.plugins || [];\n        /**\n         * Values passed along to the\n         * [`init`]{@link https://developer.mozilla.org/en-US/docs/Web/API/WindowOrWorkerGlobalScope/fetch#Parameters}\n         * of all fetch() requests made by this strategy.\n         *\n         * @type {Object}\n         */\n        this.fetchOptions = options.fetchOptions;\n        /**\n         * The\n         * [`CacheQueryOptions`]{@link https://w3c.github.io/ServiceWorker/#dictdef-cachequeryoptions}\n         * for any `cache.match()` or `cache.put()` calls made by this strategy.\n         *\n         * @type {Object}\n         */\n        this.matchOptions = options.matchOptions;\n    }\n    /**\n     * Perform a request strategy and returns a `Promise` that will resolve with\n     * a `Response`, invoking all relevant plugin callbacks.\n     *\n     * When a strategy instance is registered with a Workbox\n     * {@link workbox-routing.Route}, this method is automatically\n     * called when the route matches.\n     *\n     * Alternatively, this method can be used in a standalone `FetchEvent`\n     * listener by passing it to `event.respondWith()`.\n     *\n     * @param {FetchEvent|Object} options A `FetchEvent` or an object with the\n     *     properties listed below.\n     * @param {Request|string} options.request A request to run this strategy for.\n     * @param {ExtendableEvent} options.event The event associated with the\n     *     request.\n     * @param {URL} [options.url]\n     * @param {*} [options.params]\n     */\n    handle(options) {\n        const [responseDone] = this.handleAll(options);\n        return responseDone;\n    }\n    /**\n     * Similar to {@link workbox-strategies.Strategy~handle}, but\n     * instead of just returning a `Promise` that resolves to a `Response` it\n     * it will return an tuple of `[response, done]` promises, where the former\n     * (`response`) is equivalent to what `handle()` returns, and the latter is a\n     * Promise that will resolve once any promises that were added to\n     * `event.waitUntil()` as part of performing the strategy have completed.\n     *\n     * You can await the `done` promise to ensure any extra work performed by\n     * the strategy (usually caching responses) completes successfully.\n     *\n     * @param {FetchEvent|Object} options A `FetchEvent` or an object with the\n     *     properties listed below.\n     * @param {Request|string} options.request A request to run this strategy for.\n     * @param {ExtendableEvent} options.event The event associated with the\n     *     request.\n     * @param {URL} [options.url]\n     * @param {*} [options.params]\n     * @return {Array<Promise>} A tuple of [response, done]\n     *     promises that can be used to determine when the response resolves as\n     *     well as when the handler has completed all its work.\n     */\n    handleAll(options) {\n        // Allow for flexible options to be passed.\n        if (options instanceof FetchEvent) {\n            options = {\n                event: options,\n                request: options.request,\n            };\n        }\n        const event = options.event;\n        const request = typeof options.request === 'string'\n            ? new Request(options.request)\n            : options.request;\n        const params = 'params' in options ? options.params : undefined;\n        const handler = new StrategyHandler(this, { event, request, params });\n        const responseDone = this._getResponse(handler, request, event);\n        const handlerDone = this._awaitComplete(responseDone, handler, request, event);\n        // Return an array of promises, suitable for use with Promise.all().\n        return [responseDone, handlerDone];\n    }\n    async _getResponse(handler, request, event) {\n        await handler.runCallbacks('handlerWillStart', { event, request });\n        let response = undefined;\n        try {\n            response = await this._handle(request, handler);\n            // The \"official\" Strategy subclasses all throw this error automatically,\n            // but in case a third-party Strategy doesn't, ensure that we have a\n            // consistent failure when there's no response or an error response.\n            if (!response || response.type === 'error') {\n                throw new WorkboxError('no-response', { url: request.url });\n            }\n        }\n        catch (error) {\n            if (error instanceof Error) {\n                for (const callback of handler.iterateCallbacks('handlerDidError')) {\n                    response = await callback({ error, event, request });\n                    if (response) {\n                        break;\n                    }\n                }\n            }\n            if (!response) {\n                throw error;\n            }\n            else if (process.env.NODE_ENV !== 'production') {\n                logger.log(`While responding to '${getFriendlyURL(request.url)}', ` +\n                    `an ${error instanceof Error ? error.toString() : ''} error occurred. Using a fallback response provided by ` +\n                    `a handlerDidError plugin.`);\n            }\n        }\n        for (const callback of handler.iterateCallbacks('handlerWillRespond')) {\n            response = await callback({ event, request, response });\n        }\n        return response;\n    }\n    async _awaitComplete(responseDone, handler, request, event) {\n        let response;\n        let error;\n        try {\n            response = await responseDone;\n        }\n        catch (error) {\n            // Ignore errors, as response errors should be caught via the `response`\n            // promise above. The `done` promise will only throw for errors in\n            // promises passed to `handler.waitUntil()`.\n        }\n        try {\n            await handler.runCallbacks('handlerDidRespond', {\n                event,\n                request,\n                response,\n            });\n            await handler.doneWaiting();\n        }\n        catch (waitUntilError) {\n            if (waitUntilError instanceof Error) {\n                error = waitUntilError;\n            }\n        }\n        await handler.runCallbacks('handlerDidComplete', {\n            event,\n            request,\n            response,\n            error: error,\n        });\n        handler.destroy();\n        if (error) {\n            throw error;\n        }\n    }\n}\nexport { Strategy };\n/**\n * Classes extending the `Strategy` based class should implement this method,\n * and leverage the {@link workbox-strategies.StrategyHandler}\n * arg to perform all fetching and cache logic, which will ensure all relevant\n * cache, cache options, fetch options and plugins are used (per the current\n * strategy instance).\n *\n * @name _handle\n * @instance\n * @abstract\n * @function\n * @param {Request} request\n * @param {workbox-strategies.StrategyHandler} handler\n * @return {Promise<Response>}\n *\n * @memberof workbox-strategies.Strategy\n */\n","/*\n  Copyright 2020 Google LLC\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\n/**\n * A utility method that makes it easier to use `event.waitUntil` with\n * async functions and return the result.\n *\n * @param {ExtendableEvent} event\n * @param {Function} asyncFn\n * @return {Function}\n * @private\n */\nfunction waitUntil(event, asyncFn) {\n    const returnPromise = asyncFn();\n    event.waitUntil(returnPromise);\n    return returnPromise;\n}\nexport { waitUntil };\n","\"use strict\";\n// @ts-ignore\ntry {\n    self['workbox:precaching:6.6.0'] && _();\n}\ncatch (e) { }\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { WorkboxError } from 'workbox-core/_private/WorkboxError.js';\nimport '../_version.js';\n// Name of the search parameter used to store revision info.\nconst REVISION_SEARCH_PARAM = '__WB_REVISION__';\n/**\n * Converts a manifest entry into a versioned URL suitable for precaching.\n *\n * @param {Object|string} entry\n * @return {string} A URL with versioning info.\n *\n * @private\n * @memberof workbox-precaching\n */\nexport function createCacheKey(entry) {\n    if (!entry) {\n        throw new WorkboxError('add-to-cache-list-unexpected-type', { entry });\n    }\n    // If a precache manifest entry is a string, it's assumed to be a versioned\n    // URL, like '/app.abcd1234.js'. Return as-is.\n    if (typeof entry === 'string') {\n        const urlObject = new URL(entry, location.href);\n        return {\n            cacheKey: urlObject.href,\n            url: urlObject.href,\n        };\n    }\n    const { revision, url } = entry;\n    if (!url) {\n        throw new WorkboxError('add-to-cache-list-unexpected-type', { entry });\n    }\n    // If there's just a URL and no revision, then it's also assumed to be a\n    // versioned URL.\n    if (!revision) {\n        const urlObject = new URL(url, location.href);\n        return {\n            cacheKey: urlObject.href,\n            url: urlObject.href,\n        };\n    }\n    // Otherwise, construct a properly versioned URL using the custom Workbox\n    // search parameter along with the revision info.\n    const cacheKeyURL = new URL(url, location.href);\n    const originalURL = new URL(url, location.href);\n    cacheKeyURL.searchParams.set(REVISION_SEARCH_PARAM, revision);\n    return {\n        cacheKey: cacheKeyURL.href,\n        url: originalURL.href,\n    };\n}\n","/*\n  Copyright 2020 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\n/**\n * A plugin, designed to be used with PrecacheController, to determine the\n * of assets that were updated (or not updated) during the install event.\n *\n * @private\n */\nclass PrecacheInstallReportPlugin {\n    constructor() {\n        this.updatedURLs = [];\n        this.notUpdatedURLs = [];\n        this.handlerWillStart = async ({ request, state, }) => {\n            // TODO: `state` should never be undefined...\n            if (state) {\n                state.originalRequest = request;\n            }\n        };\n        this.cachedResponseWillBeUsed = async ({ event, state, cachedResponse, }) => {\n            if (event.type === 'install') {\n                if (state &&\n                    state.originalRequest &&\n                    state.originalRequest instanceof Request) {\n                    // TODO: `state` should never be undefined...\n                    const url = state.originalRequest.url;\n                    if (cachedResponse) {\n                        this.notUpdatedURLs.push(url);\n                    }\n                    else {\n                        this.updatedURLs.push(url);\n                    }\n                }\n            }\n            return cachedResponse;\n        };\n    }\n}\nexport { PrecacheInstallReportPlugin };\n","/*\n  Copyright 2020 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\n/**\n * A plugin, designed to be used with PrecacheController, to translate URLs into\n * the corresponding cache key, based on the current revision info.\n *\n * @private\n */\nclass PrecacheCacheKeyPlugin {\n    constructor({ precacheController }) {\n        this.cacheKeyWillBeUsed = async ({ request, params, }) => {\n            // Params is type any, can't change right now.\n            /* eslint-disable */\n            const cacheKey = (params === null || params === void 0 ? void 0 : params.cacheKey) ||\n                this._precacheController.getCacheKeyForURL(request.url);\n            /* eslint-enable */\n            return cacheKey\n                ? new Request(cacheKey, { headers: request.headers })\n                : request;\n        };\n        this._precacheController = precacheController;\n    }\n}\nexport { PrecacheCacheKeyPlugin };\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\nlet supportStatus;\n/**\n * A utility function that determines whether the current browser supports\n * constructing a new `Response` from a `response.body` stream.\n *\n * @return {boolean} `true`, if the current browser can successfully\n *     construct a `Response` from a `response.body` stream, `false` otherwise.\n *\n * @private\n */\nfunction canConstructResponseFromBodyStream() {\n    if (supportStatus === undefined) {\n        const testResponse = new Response('');\n        if ('body' in testResponse) {\n            try {\n                new Response(testResponse.body);\n                supportStatus = true;\n            }\n            catch (error) {\n                supportStatus = false;\n            }\n        }\n        supportStatus = false;\n    }\n    return supportStatus;\n}\nexport { canConstructResponseFromBodyStream };\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { PrecacheController } from '../PrecacheController.js';\nimport '../_version.js';\nlet precacheController;\n/**\n * @return {PrecacheController}\n * @private\n */\nexport const getOrCreatePrecacheController = () => {\n    if (!precacheController) {\n        precacheController = new PrecacheController();\n    }\n    return precacheController;\n};\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { canConstructResponseFromBodyStream } from './_private/canConstructResponseFromBodyStream.js';\nimport { WorkboxError } from './_private/WorkboxError.js';\nimport './_version.js';\n/**\n * Allows developers to copy a response and modify its `headers`, `status`,\n * or `statusText` values (the values settable via a\n * [`ResponseInit`]{@link https://developer.mozilla.org/en-US/docs/Web/API/Response/Response#Syntax}\n * object in the constructor).\n * To modify these values, pass a function as the second argument. That\n * function will be invoked with a single object with the response properties\n * `{headers, status, statusText}`. The return value of this function will\n * be used as the `ResponseInit` for the new `Response`. To change the values\n * either modify the passed parameter(s) and return it, or return a totally\n * new object.\n *\n * This method is intentionally limited to same-origin responses, regardless of\n * whether CORS was used or not.\n *\n * @param {Response} response\n * @param {Function} modifier\n * @memberof workbox-core\n */\nasync function copyResponse(response, modifier) {\n    let origin = null;\n    // If response.url isn't set, assume it's cross-origin and keep origin null.\n    if (response.url) {\n        const responseURL = new URL(response.url);\n        origin = responseURL.origin;\n    }\n    if (origin !== self.location.origin) {\n        throw new WorkboxError('cross-origin-copy-response', { origin });\n    }\n    const clonedResponse = response.clone();\n    // Create a fresh `ResponseInit` object by cloning the headers.\n    const responseInit = {\n        headers: new Headers(clonedResponse.headers),\n        status: clonedResponse.status,\n        statusText: clonedResponse.statusText,\n    };\n    // Apply any user modifications.\n    const modifiedResponseInit = modifier ? modifier(responseInit) : responseInit;\n    // Create the new response from the body stream and `ResponseInit`\n    // modifications. Note: not all browsers support the Response.body stream,\n    // so fall back to reading the entire body into memory as a blob.\n    const body = canConstructResponseFromBodyStream()\n        ? clonedResponse.body\n        : await clonedResponse.blob();\n    return new Response(body, modifiedResponseInit);\n}\nexport { copyResponse };\n","/*\n  Copyright 2020 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { copyResponse } from 'workbox-core/copyResponse.js';\nimport { cacheNames } from 'workbox-core/_private/cacheNames.js';\nimport { getFriendlyURL } from 'workbox-core/_private/getFriendlyURL.js';\nimport { logger } from 'workbox-core/_private/logger.js';\nimport { WorkboxError } from 'workbox-core/_private/WorkboxError.js';\nimport { Strategy } from 'workbox-strategies/Strategy.js';\nimport './_version.js';\n/**\n * A {@link workbox-strategies.Strategy} implementation\n * specifically designed to work with\n * {@link workbox-precaching.PrecacheController}\n * to both cache and fetch precached assets.\n *\n * Note: an instance of this class is created automatically when creating a\n * `PrecacheController`; it's generally not necessary to create this yourself.\n *\n * @extends workbox-strategies.Strategy\n * @memberof workbox-precaching\n */\nclass PrecacheStrategy extends Strategy {\n    /**\n     *\n     * @param {Object} [options]\n     * @param {string} [options.cacheName] Cache name to store and retrieve\n     * requests. Defaults to the cache names provided by\n     * {@link workbox-core.cacheNames}.\n     * @param {Array<Object>} [options.plugins] {@link https://developers.google.com/web/tools/workbox/guides/using-plugins|Plugins}\n     * to use in conjunction with this caching strategy.\n     * @param {Object} [options.fetchOptions] Values passed along to the\n     * {@link https://developer.mozilla.org/en-US/docs/Web/API/WindowOrWorkerGlobalScope/fetch#Parameters|init}\n     * of all fetch() requests made by this strategy.\n     * @param {Object} [options.matchOptions] The\n     * {@link https://w3c.github.io/ServiceWorker/#dictdef-cachequeryoptions|CacheQueryOptions}\n     * for any `cache.match()` or `cache.put()` calls made by this strategy.\n     * @param {boolean} [options.fallbackToNetwork=true] Whether to attempt to\n     * get the response from the network if there's a precache miss.\n     */\n    constructor(options = {}) {\n        options.cacheName = cacheNames.getPrecacheName(options.cacheName);\n        super(options);\n        this._fallbackToNetwork =\n            options.fallbackToNetwork === false ? false : true;\n        // Redirected responses cannot be used to satisfy a navigation request, so\n        // any redirected response must be \"copied\" rather than cloned, so the new\n        // response doesn't contain the `redirected` flag. See:\n        // https://bugs.chromium.org/p/chromium/issues/detail?id=669363&desc=2#c1\n        this.plugins.push(PrecacheStrategy.copyRedirectedCacheableResponsesPlugin);\n    }\n    /**\n     * @private\n     * @param {Request|string} request A request to run this strategy for.\n     * @param {workbox-strategies.StrategyHandler} handler The event that\n     *     triggered the request.\n     * @return {Promise<Response>}\n     */\n    async _handle(request, handler) {\n        const response = await handler.cacheMatch(request);\n        if (response) {\n            return response;\n        }\n        // If this is an `install` event for an entry that isn't already cached,\n        // then populate the cache.\n        if (handler.event && handler.event.type === 'install') {\n            return await this._handleInstall(request, handler);\n        }\n        // Getting here means something went wrong. An entry that should have been\n        // precached wasn't found in the cache.\n        return await this._handleFetch(request, handler);\n    }\n    async _handleFetch(request, handler) {\n        let response;\n        const params = (handler.params || {});\n        // Fall back to the network if we're configured to do so.\n        if (this._fallbackToNetwork) {\n            if (process.env.NODE_ENV !== 'production') {\n                logger.warn(`The precached response for ` +\n                    `${getFriendlyURL(request.url)} in ${this.cacheName} was not ` +\n                    `found. Falling back to the network.`);\n            }\n            const integrityInManifest = params.integrity;\n            const integrityInRequest = request.integrity;\n            const noIntegrityConflict = !integrityInRequest || integrityInRequest === integrityInManifest;\n            // Do not add integrity if the original request is no-cors\n            // See https://github.com/GoogleChrome/workbox/issues/3096\n            response = await handler.fetch(new Request(request, {\n                integrity: request.mode !== 'no-cors'\n                    ? integrityInRequest || integrityInManifest\n                    : undefined,\n            }));\n            // It's only \"safe\" to repair the cache if we're using SRI to guarantee\n            // that the response matches the precache manifest's expectations,\n            // and there's either a) no integrity property in the incoming request\n            // or b) there is an integrity, and it matches the precache manifest.\n            // See https://github.com/GoogleChrome/workbox/issues/2858\n            // Also if the original request users no-cors we don't use integrity.\n            // See https://github.com/GoogleChrome/workbox/issues/3096\n            if (integrityInManifest &&\n                noIntegrityConflict &&\n                request.mode !== 'no-cors') {\n                this._useDefaultCacheabilityPluginIfNeeded();\n                const wasCached = await handler.cachePut(request, response.clone());\n                if (process.env.NODE_ENV !== 'production') {\n                    if (wasCached) {\n                        logger.log(`A response for ${getFriendlyURL(request.url)} ` +\n                            `was used to \"repair\" the precache.`);\n                    }\n                }\n            }\n        }\n        else {\n            // This shouldn't normally happen, but there are edge cases:\n            // https://github.com/GoogleChrome/workbox/issues/1441\n            throw new WorkboxError('missing-precache-entry', {\n                cacheName: this.cacheName,\n                url: request.url,\n            });\n        }\n        if (process.env.NODE_ENV !== 'production') {\n            const cacheKey = params.cacheKey || (await handler.getCacheKey(request, 'read'));\n            // Workbox is going to handle the route.\n            // print the routing details to the console.\n            logger.groupCollapsed(`Precaching is responding to: ` + getFriendlyURL(request.url));\n            logger.log(`Serving the precached url: ${getFriendlyURL(cacheKey instanceof Request ? cacheKey.url : cacheKey)}`);\n            logger.groupCollapsed(`View request details here.`);\n            logger.log(request);\n            logger.groupEnd();\n            logger.groupCollapsed(`View response details here.`);\n            logger.log(response);\n            logger.groupEnd();\n            logger.groupEnd();\n        }\n        return response;\n    }\n    async _handleInstall(request, handler) {\n        this._useDefaultCacheabilityPluginIfNeeded();\n        const response = await handler.fetch(request);\n        // Make sure we defer cachePut() until after we know the response\n        // should be cached; see https://github.com/GoogleChrome/workbox/issues/2737\n        const wasCached = await handler.cachePut(request, response.clone());\n        if (!wasCached) {\n            // Throwing here will lead to the `install` handler failing, which\n            // we want to do if *any* of the responses aren't safe to cache.\n            throw new WorkboxError('bad-precaching-response', {\n                url: request.url,\n                status: response.status,\n            });\n        }\n        return response;\n    }\n    /**\n     * This method is complex, as there a number of things to account for:\n     *\n     * The `plugins` array can be set at construction, and/or it might be added to\n     * to at any time before the strategy is used.\n     *\n     * At the time the strategy is used (i.e. during an `install` event), there\n     * needs to be at least one plugin that implements `cacheWillUpdate` in the\n     * array, other than `copyRedirectedCacheableResponsesPlugin`.\n     *\n     * - If this method is called and there are no suitable `cacheWillUpdate`\n     * plugins, we need to add `defaultPrecacheCacheabilityPlugin`.\n     *\n     * - If this method is called and there is exactly one `cacheWillUpdate`, then\n     * we don't have to do anything (this might be a previously added\n     * `defaultPrecacheCacheabilityPlugin`, or it might be a custom plugin).\n     *\n     * - If this method is called and there is more than one `cacheWillUpdate`,\n     * then we need to check if one is `defaultPrecacheCacheabilityPlugin`. If so,\n     * we need to remove it. (This situation is unlikely, but it could happen if\n     * the strategy is used multiple times, the first without a `cacheWillUpdate`,\n     * and then later on after manually adding a custom `cacheWillUpdate`.)\n     *\n     * See https://github.com/GoogleChrome/workbox/issues/2737 for more context.\n     *\n     * @private\n     */\n    _useDefaultCacheabilityPluginIfNeeded() {\n        let defaultPluginIndex = null;\n        let cacheWillUpdatePluginCount = 0;\n        for (const [index, plugin] of this.plugins.entries()) {\n            // Ignore the copy redirected plugin when determining what to do.\n            if (plugin === PrecacheStrategy.copyRedirectedCacheableResponsesPlugin) {\n                continue;\n            }\n            // Save the default plugin's index, in case it needs to be removed.\n            if (plugin === PrecacheStrategy.defaultPrecacheCacheabilityPlugin) {\n                defaultPluginIndex = index;\n            }\n            if (plugin.cacheWillUpdate) {\n                cacheWillUpdatePluginCount++;\n            }\n        }\n        if (cacheWillUpdatePluginCount === 0) {\n            this.plugins.push(PrecacheStrategy.defaultPrecacheCacheabilityPlugin);\n        }\n        else if (cacheWillUpdatePluginCount > 1 && defaultPluginIndex !== null) {\n            // Only remove the default plugin; multiple custom plugins are allowed.\n            this.plugins.splice(defaultPluginIndex, 1);\n        }\n        // Nothing needs to be done if cacheWillUpdatePluginCount is 1\n    }\n}\nPrecacheStrategy.defaultPrecacheCacheabilityPlugin = {\n    async cacheWillUpdate({ response }) {\n        if (!response || response.status >= 400) {\n            return null;\n        }\n        return response;\n    },\n};\nPrecacheStrategy.copyRedirectedCacheableResponsesPlugin = {\n    async cacheWillUpdate({ response }) {\n        return response.redirected ? await copyResponse(response) : response;\n    },\n};\nexport { PrecacheStrategy };\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { assert } from 'workbox-core/_private/assert.js';\nimport { cacheNames } from 'workbox-core/_private/cacheNames.js';\nimport { logger } from 'workbox-core/_private/logger.js';\nimport { WorkboxError } from 'workbox-core/_private/WorkboxError.js';\nimport { waitUntil } from 'workbox-core/_private/waitUntil.js';\nimport { createCacheKey } from './utils/createCacheKey.js';\nimport { PrecacheInstallReportPlugin } from './utils/PrecacheInstallReportPlugin.js';\nimport { PrecacheCacheKeyPlugin } from './utils/PrecacheCacheKeyPlugin.js';\nimport { printCleanupDetails } from './utils/printCleanupDetails.js';\nimport { printInstallDetails } from './utils/printInstallDetails.js';\nimport { PrecacheStrategy } from './PrecacheStrategy.js';\nimport './_version.js';\n/**\n * Performs efficient precaching of assets.\n *\n * @memberof workbox-precaching\n */\nclass PrecacheController {\n    /**\n     * Create a new PrecacheController.\n     *\n     * @param {Object} [options]\n     * @param {string} [options.cacheName] The cache to use for precaching.\n     * @param {string} [options.plugins] Plugins to use when precaching as well\n     * as responding to fetch events for precached assets.\n     * @param {boolean} [options.fallbackToNetwork=true] Whether to attempt to\n     * get the response from the network if there's a precache miss.\n     */\n    constructor({ cacheName, plugins = [], fallbackToNetwork = true, } = {}) {\n        this._urlsToCacheKeys = new Map();\n        this._urlsToCacheModes = new Map();\n        this._cacheKeysToIntegrities = new Map();\n        this._strategy = new PrecacheStrategy({\n            cacheName: cacheNames.getPrecacheName(cacheName),\n            plugins: [\n                ...plugins,\n                new PrecacheCacheKeyPlugin({ precacheController: this }),\n            ],\n            fallbackToNetwork,\n        });\n        // Bind the install and activate methods to the instance.\n        this.install = this.install.bind(this);\n        this.activate = this.activate.bind(this);\n    }\n    /**\n     * @type {workbox-precaching.PrecacheStrategy} The strategy created by this controller and\n     * used to cache assets and respond to fetch events.\n     */\n    get strategy() {\n        return this._strategy;\n    }\n    /**\n     * Adds items to the precache list, removing any duplicates and\n     * stores the files in the\n     * {@link workbox-core.cacheNames|\"precache cache\"} when the service\n     * worker installs.\n     *\n     * This method can be called multiple times.\n     *\n     * @param {Array<Object|string>} [entries=[]] Array of entries to precache.\n     */\n    precache(entries) {\n        this.addToCacheList(entries);\n        if (!this._installAndActiveListenersAdded) {\n            self.addEventListener('install', this.install);\n            self.addEventListener('activate', this.activate);\n            this._installAndActiveListenersAdded = true;\n        }\n    }\n    /**\n     * This method will add items to the precache list, removing duplicates\n     * and ensuring the information is valid.\n     *\n     * @param {Array<workbox-precaching.PrecacheController.PrecacheEntry|string>} entries\n     *     Array of entries to precache.\n     */\n    addToCacheList(entries) {\n        if (process.env.NODE_ENV !== 'production') {\n            assert.isArray(entries, {\n                moduleName: 'workbox-precaching',\n                className: 'PrecacheController',\n                funcName: 'addToCacheList',\n                paramName: 'entries',\n            });\n        }\n        const urlsToWarnAbout = [];\n        for (const entry of entries) {\n            // See https://github.com/GoogleChrome/workbox/issues/2259\n            if (typeof entry === 'string') {\n                urlsToWarnAbout.push(entry);\n            }\n            else if (entry && entry.revision === undefined) {\n                urlsToWarnAbout.push(entry.url);\n            }\n            const { cacheKey, url } = createCacheKey(entry);\n            const cacheMode = typeof entry !== 'string' && entry.revision ? 'reload' : 'default';\n            if (this._urlsToCacheKeys.has(url) &&\n                this._urlsToCacheKeys.get(url) !== cacheKey) {\n                throw new WorkboxError('add-to-cache-list-conflicting-entries', {\n                    firstEntry: this._urlsToCacheKeys.get(url),\n                    secondEntry: cacheKey,\n                });\n            }\n            if (typeof entry !== 'string' && entry.integrity) {\n                if (this._cacheKeysToIntegrities.has(cacheKey) &&\n                    this._cacheKeysToIntegrities.get(cacheKey) !== entry.integrity) {\n                    throw new WorkboxError('add-to-cache-list-conflicting-integrities', {\n                        url,\n                    });\n                }\n                this._cacheKeysToIntegrities.set(cacheKey, entry.integrity);\n            }\n            this._urlsToCacheKeys.set(url, cacheKey);\n            this._urlsToCacheModes.set(url, cacheMode);\n            if (urlsToWarnAbout.length > 0) {\n                const warningMessage = `Workbox is precaching URLs without revision ` +\n                    `info: ${urlsToWarnAbout.join(', ')}\\nThis is generally NOT safe. ` +\n                    `Learn more at https://bit.ly/wb-precache`;\n                if (process.env.NODE_ENV === 'production') {\n                    // Use console directly to display this warning without bloating\n                    // bundle sizes by pulling in all of the logger codebase in prod.\n                    console.warn(warningMessage);\n                }\n                else {\n                    logger.warn(warningMessage);\n                }\n            }\n        }\n    }\n    /**\n     * Precaches new and updated assets. Call this method from the service worker\n     * install event.\n     *\n     * Note: this method calls `event.waitUntil()` for you, so you do not need\n     * to call it yourself in your event handlers.\n     *\n     * @param {ExtendableEvent} event\n     * @return {Promise<workbox-precaching.InstallResult>}\n     */\n    install(event) {\n        // waitUntil returns Promise<any>\n        // eslint-disable-next-line @typescript-eslint/no-unsafe-return\n        return waitUntil(event, async () => {\n            const installReportPlugin = new PrecacheInstallReportPlugin();\n            this.strategy.plugins.push(installReportPlugin);\n            // Cache entries one at a time.\n            // See https://github.com/GoogleChrome/workbox/issues/2528\n            for (const [url, cacheKey] of this._urlsToCacheKeys) {\n                const integrity = this._cacheKeysToIntegrities.get(cacheKey);\n                const cacheMode = this._urlsToCacheModes.get(url);\n                const request = new Request(url, {\n                    integrity,\n                    cache: cacheMode,\n                    credentials: 'same-origin',\n                });\n                await Promise.all(this.strategy.handleAll({\n                    params: { cacheKey },\n                    request,\n                    event,\n                }));\n            }\n            const { updatedURLs, notUpdatedURLs } = installReportPlugin;\n            if (process.env.NODE_ENV !== 'production') {\n                printInstallDetails(updatedURLs, notUpdatedURLs);\n            }\n            return { updatedURLs, notUpdatedURLs };\n        });\n    }\n    /**\n     * Deletes assets that are no longer present in the current precache manifest.\n     * Call this method from the service worker activate event.\n     *\n     * Note: this method calls `event.waitUntil()` for you, so you do not need\n     * to call it yourself in your event handlers.\n     *\n     * @param {ExtendableEvent} event\n     * @return {Promise<workbox-precaching.CleanupResult>}\n     */\n    activate(event) {\n        // waitUntil returns Promise<any>\n        // eslint-disable-next-line @typescript-eslint/no-unsafe-return\n        return waitUntil(event, async () => {\n            const cache = await self.caches.open(this.strategy.cacheName);\n            const currentlyCachedRequests = await cache.keys();\n            const expectedCacheKeys = new Set(this._urlsToCacheKeys.values());\n            const deletedURLs = [];\n            for (const request of currentlyCachedRequests) {\n                if (!expectedCacheKeys.has(request.url)) {\n                    await cache.delete(request);\n                    deletedURLs.push(request.url);\n                }\n            }\n            if (process.env.NODE_ENV !== 'production') {\n                printCleanupDetails(deletedURLs);\n            }\n            return { deletedURLs };\n        });\n    }\n    /**\n     * Returns a mapping of a precached URL to the corresponding cache key, taking\n     * into account the revision information for the URL.\n     *\n     * @return {Map<string, string>} A URL to cache key mapping.\n     */\n    getURLsToCacheKeys() {\n        return this._urlsToCacheKeys;\n    }\n    /**\n     * Returns a list of all the URLs that have been precached by the current\n     * service worker.\n     *\n     * @return {Array<string>} The precached URLs.\n     */\n    getCachedURLs() {\n        return [...this._urlsToCacheKeys.keys()];\n    }\n    /**\n     * Returns the cache key used for storing a given URL. If that URL is\n     * unversioned, like `/index.html', then the cache key will be the original\n     * URL with a search parameter appended to it.\n     *\n     * @param {string} url A URL whose cache key you want to look up.\n     * @return {string} The versioned URL that corresponds to a cache key\n     * for the original URL, or undefined if that URL isn't precached.\n     */\n    getCacheKeyForURL(url) {\n        const urlObject = new URL(url, location.href);\n        return this._urlsToCacheKeys.get(urlObject.href);\n    }\n    /**\n     * @param {string} url A cache key whose SRI you want to look up.\n     * @return {string} The subresource integrity associated with the cache key,\n     * or undefined if it's not set.\n     */\n    getIntegrityForCacheKey(cacheKey) {\n        return this._cacheKeysToIntegrities.get(cacheKey);\n    }\n    /**\n     * This acts as a drop-in replacement for\n     * [`cache.match()`](https://developer.mozilla.org/en-US/docs/Web/API/Cache/match)\n     * with the following differences:\n     *\n     * - It knows what the name of the precache is, and only checks in that cache.\n     * - It allows you to pass in an \"original\" URL without versioning parameters,\n     * and it will automatically look up the correct cache key for the currently\n     * active revision of that URL.\n     *\n     * E.g., `matchPrecache('index.html')` will find the correct precached\n     * response for the currently active service worker, even if the actual cache\n     * key is `'/index.html?__WB_REVISION__=1234abcd'`.\n     *\n     * @param {string|Request} request The key (without revisioning parameters)\n     * to look up in the precache.\n     * @return {Promise<Response|undefined>}\n     */\n    async matchPrecache(request) {\n        const url = request instanceof Request ? request.url : request;\n        const cacheKey = this.getCacheKeyForURL(url);\n        if (cacheKey) {\n            const cache = await self.caches.open(this.strategy.cacheName);\n            return cache.match(cacheKey);\n        }\n        return undefined;\n    }\n    /**\n     * Returns a function that looks up `url` in the precache (taking into\n     * account revision information), and returns the corresponding `Response`.\n     *\n     * @param {string} url The precached URL which will be used to lookup the\n     * `Response`.\n     * @return {workbox-routing~handlerCallback}\n     */\n    createHandlerBoundToURL(url) {\n        const cacheKey = this.getCacheKeyForURL(url);\n        if (!cacheKey) {\n            throw new WorkboxError('non-precached-url', { url });\n        }\n        return (options) => {\n            options.request = new Request(url);\n            options.params = Object.assign({ cacheKey }, options.params);\n            return this.strategy.handle(options);\n        };\n    }\n}\nexport { PrecacheController };\n","/*\n  Copyright 2020 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { logger } from 'workbox-core/_private/logger.js';\nimport { getFriendlyURL } from 'workbox-core/_private/getFriendlyURL.js';\nimport { Route } from 'workbox-routing/Route.js';\nimport { generateURLVariations } from './utils/generateURLVariations.js';\nimport './_version.js';\n/**\n * A subclass of {@link workbox-routing.Route} that takes a\n * {@link workbox-precaching.PrecacheController}\n * instance and uses it to match incoming requests and handle fetching\n * responses from the precache.\n *\n * @memberof workbox-precaching\n * @extends workbox-routing.Route\n */\nclass PrecacheRoute extends Route {\n    /**\n     * @param {PrecacheController} precacheController A `PrecacheController`\n     * instance used to both match requests and respond to fetch events.\n     * @param {Object} [options] Options to control how requests are matched\n     * against the list of precached URLs.\n     * @param {string} [options.directoryIndex=index.html] The `directoryIndex` will\n     * check cache entries for a URLs ending with '/' to see if there is a hit when\n     * appending the `directoryIndex` value.\n     * @param {Array<RegExp>} [options.ignoreURLParametersMatching=[/^utm_/, /^fbclid$/]] An\n     * array of regex's to remove search params when looking for a cache match.\n     * @param {boolean} [options.cleanURLs=true] The `cleanURLs` option will\n     * check the cache for the URL with a `.html` added to the end of the end.\n     * @param {workbox-precaching~urlManipulation} [options.urlManipulation]\n     * This is a function that should take a URL and return an array of\n     * alternative URLs that should be checked for precache matches.\n     */\n    constructor(precacheController, options) {\n        const match = ({ request, }) => {\n            const urlsToCacheKeys = precacheController.getURLsToCacheKeys();\n            for (const possibleURL of generateURLVariations(request.url, options)) {\n                const cacheKey = urlsToCacheKeys.get(possibleURL);\n                if (cacheKey) {\n                    const integrity = precacheController.getIntegrityForCacheKey(cacheKey);\n                    return { cacheKey, integrity };\n                }\n            }\n            if (process.env.NODE_ENV !== 'production') {\n                logger.debug(`Precaching did not find a match for ` + getFriendlyURL(request.url));\n            }\n            return;\n        };\n        super(match, precacheController.strategy);\n    }\n}\nexport { PrecacheRoute };\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { removeIgnoredSearchParams } from './removeIgnoredSearchParams.js';\nimport '../_version.js';\n/**\n * Generator function that yields possible variations on the original URL to\n * check, one at a time.\n *\n * @param {string} url\n * @param {Object} options\n *\n * @private\n * @memberof workbox-precaching\n */\nexport function* generateURLVariations(url, { ignoreURLParametersMatching = [/^utm_/, /^fbclid$/], directoryIndex = 'index.html', cleanURLs = true, urlManipulation, } = {}) {\n    const urlObject = new URL(url, location.href);\n    urlObject.hash = '';\n    yield urlObject.href;\n    const urlWithoutIgnoredParams = removeIgnoredSearchParams(urlObject, ignoreURLParametersMatching);\n    yield urlWithoutIgnoredParams.href;\n    if (directoryIndex && urlWithoutIgnoredParams.pathname.endsWith('/')) {\n        const directoryURL = new URL(urlWithoutIgnoredParams.href);\n        directoryURL.pathname += directoryIndex;\n        yield directoryURL.href;\n    }\n    if (cleanURLs) {\n        const cleanURL = new URL(urlWithoutIgnoredParams.href);\n        cleanURL.pathname += '.html';\n        yield cleanURL.href;\n    }\n    if (urlManipulation) {\n        const additionalURLs = urlManipulation({ url: urlObject });\n        for (const urlToAttempt of additionalURLs) {\n            yield urlToAttempt.href;\n        }\n    }\n}\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport '../_version.js';\n/**\n * Removes any URL search parameters that should be ignored.\n *\n * @param {URL} urlObject The original URL.\n * @param {Array<RegExp>} ignoreURLParametersMatching RegExps to test against\n * each search parameter name. Matches mean that the search parameter should be\n * ignored.\n * @return {URL} The URL with any ignored search parameters removed.\n *\n * @private\n * @memberof workbox-precaching\n */\nexport function removeIgnoredSearchParams(urlObject, ignoreURLParametersMatching = []) {\n    // Convert the iterable into an array at the start of the loop to make sure\n    // deletion doesn't mess up iteration.\n    for (const paramName of [...urlObject.searchParams.keys()]) {\n        if (ignoreURLParametersMatching.some((regExp) => regExp.test(paramName))) {\n            urlObject.searchParams.delete(paramName);\n        }\n    }\n    return urlObject;\n}\n","/*\n  Copyright 2018 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { assert } from 'workbox-core/_private/assert.js';\nimport { logger } from 'workbox-core/_private/logger.js';\nimport { WorkboxError } from 'workbox-core/_private/WorkboxError.js';\nimport { Strategy } from './Strategy.js';\nimport { messages } from './utils/messages.js';\nimport './_version.js';\n/**\n * An implementation of a [cache-first](https://developer.chrome.com/docs/workbox/caching-strategies-overview/#cache-first-falling-back-to-network)\n * request strategy.\n *\n * A cache first strategy is useful for assets that have been revisioned,\n * such as URLs like `/styles/example.a8f5f1.css`, since they\n * can be cached for long periods of time.\n *\n * If the network request fails, and there is no cache match, this will throw\n * a `WorkboxError` exception.\n *\n * @extends workbox-strategies.Strategy\n * @memberof workbox-strategies\n */\nclass CacheFirst extends Strategy {\n    /**\n     * @private\n     * @param {Request|string} request A request to run this strategy for.\n     * @param {workbox-strategies.StrategyHandler} handler The event that\n     *     triggered the request.\n     * @return {Promise<Response>}\n     */\n    async _handle(request, handler) {\n        const logs = [];\n        if (process.env.NODE_ENV !== 'production') {\n            assert.isInstance(request, Request, {\n                moduleName: 'workbox-strategies',\n                className: this.constructor.name,\n                funcName: 'makeRequest',\n                paramName: 'request',\n            });\n        }\n        let response = await handler.cacheMatch(request);\n        let error = undefined;\n        if (!response) {\n            if (process.env.NODE_ENV !== 'production') {\n                logs.push(`No response found in the '${this.cacheName}' cache. ` +\n                    `Will respond with a network request.`);\n            }\n            try {\n                response = await handler.fetchAndCachePut(request);\n            }\n            catch (err) {\n                if (err instanceof Error) {\n                    error = err;\n                }\n            }\n            if (process.env.NODE_ENV !== 'production') {\n                if (response) {\n                    logs.push(`Got response from network.`);\n                }\n                else {\n                    logs.push(`Unable to get a response from the network.`);\n                }\n            }\n        }\n        else {\n            if (process.env.NODE_ENV !== 'production') {\n                logs.push(`Found a cached response in the '${this.cacheName}' cache.`);\n            }\n        }\n        if (process.env.NODE_ENV !== 'production') {\n            logger.groupCollapsed(messages.strategyStart(this.constructor.name, request));\n            for (const log of logs) {\n                logger.log(log);\n            }\n            messages.printFinalResponse(response);\n            logger.groupEnd();\n        }\n        if (!response) {\n            throw new WorkboxError('no-response', { url: request.url, error });\n        }\n        return response;\n    }\n}\nexport { CacheFirst };\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport './_version.js';\n/**\n * Claim any currently available clients once the service worker\n * becomes active. This is normally used in conjunction with `skipWaiting()`.\n *\n * @memberof workbox-core\n */\nfunction clientsClaim() {\n    self.addEventListener('activate', () => self.clients.claim());\n}\nexport { clientsClaim };\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { addRoute } from './addRoute.js';\nimport { precache } from './precache.js';\nimport './_version.js';\n/**\n * This method will add entries to the precache list and add a route to\n * respond to fetch events.\n *\n * This is a convenience method that will call\n * {@link workbox-precaching.precache} and\n * {@link workbox-precaching.addRoute} in a single call.\n *\n * @param {Array<Object|string>} entries Array of entries to precache.\n * @param {Object} [options] See the\n * {@link workbox-precaching.PrecacheRoute} options.\n *\n * @memberof workbox-precaching\n */\nfunction precacheAndRoute(entries, options) {\n    precache(entries);\n    addRoute(options);\n}\nexport { precacheAndRoute };\n","/*\n  Copyright 2019 Google LLC\n\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { getOrCreatePrecacheController } from './utils/getOrCreatePrecacheController.js';\nimport './_version.js';\n/**\n * Adds items to the precache list, removing any duplicates and\n * stores the files in the\n * {@link workbox-core.cacheNames|\"precache cache\"} when the service\n * worker installs.\n *\n * This method can be called multiple times.\n *\n * Please note: This method **will not** serve any of the cached files for you.\n * It only precaches files. To respond to a network request you call\n * {@link workbox-precaching.addRoute}.\n *\n * If you have a single array of files to precache, you can just call\n * {@link workbox-precaching.precacheAndRoute}.\n *\n * @param {Array<Object|string>} [entries=[]] Array of entries to precache.\n *\n * @memberof workbox-precaching\n */\nfunction precache(entries) {\n    const precacheController = getOrCreatePrecacheController();\n    precacheController.precache(entries);\n}\nexport { precache };\n","/*\n  Copyright 2019 Google LLC\n  Use of this source code is governed by an MIT-style\n  license that can be found in the LICENSE file or at\n  https://opensource.org/licenses/MIT.\n*/\nimport { registerRoute } from 'workbox-routing/registerRoute.js';\nimport { getOrCreatePrecacheController } from './utils/getOrCreatePrecacheController.js';\nimport { PrecacheRoute } from './PrecacheRoute.js';\nimport './_version.js';\n/**\n * Add a `fetch` listener to the service worker that will\n * respond to\n * 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