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  73. <span class="logo-line-before"><i></i></span>
  74. <span class="site-title">Schtonn's Blog</span>
  75. <span class="logo-line-after"><i></i></span>
  76. </a>
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  78. <p class="site-subtitle">Schtonn's blog</p>
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  120. <header class="post-header">
  121. <h1 class="post-title" itemprop="name headline">
  122. <a href="/2020/03/01/plan/" class="post-title-link" itemprop="url">plan</a>
  123. </h1>
  124. <div class="post-meta">
  125. <i class="fa fa-thumb-tack"></i>
  126. <font color=7D26CD>Top</font>
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  132. <span class="post-meta-item-text">Posted on</span>
  133. <time title="Created: 2020-Mar-01 22:36:07" itemprop="dateCreated datePublished" datetime="2020-03-01T22:36:07+08:00">2020-Mar-01</time>
  134. </span>
  135. <span class="post-meta-item">
  136. <span class="post-meta-item-icon">
  137. <i class="fa fa-calendar-check-o"></i>
  138. </span>
  139. <span class="post-meta-item-text">Edited on</span>
  140. <time title="Modified: 2020-Mar-03 17:50:20" itemprop="dateModified" datetime="2020-03-03T17:50:20+08:00">2020-Mar-03</time>
  141. </span>
  142. </div>
  143. </header>
  144. <div class="post-body" itemprop="articleBody">
  145. <h3 id="薄弱项">薄弱项</h3>
  146. <ol type="1">
  147. <li><strong>作文</strong>
  148. <ol type="1">
  149. <li>写日记
  150. <ul>
  151. <li>每天固定 9:00-9:30</li>
  152. <li>内容不必精美</li>
  153. <li>一周写五天,两天机动</li>
  154. </ul></li>
  155. <li>读书
  156. <ul>
  157. <li>作文辅导书为主 <code>作文大全等</code></li>
  158. <li>其他书籍为辅</li>
  159. </ul></li>
  160. <li>录音</li>
  161. </ol></li>
  162. </ol>
  163. <!--noindex-->
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  165. <a class="btn" href="/2020/03/01/plan/#more" rel="contents">
  166. Read more &raquo;
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  171. <footer class="post-footer">
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  174. </article>
  175. <article itemscope itemtype="http://schema.org/Article" class="post-block home" lang="en">
  176. <link itemprop="mainEntityOfPage" href="http://yoursite.com/2020/03/03/test/">
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  185. <header class="post-header">
  186. <h1 class="post-title" itemprop="name headline">
  187. <a href="/2020/03/03/test/" class="post-title-link" itemprop="url">test</a>
  188. </h1>
  189. <div class="post-meta">
  190. <span class="post-meta-item">
  191. <span class="post-meta-item-icon">
  192. <i class="fa fa-calendar-o"></i>
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  194. <span class="post-meta-item-text">Posted on</span>
  195. <time title="Created: 2020-Mar-03 15:06:43 / Modified: 15:56:18" itemprop="dateCreated datePublished" datetime="2020-03-03T15:06:43+08:00">2020-Mar-03</time>
  196. </span>
  197. </div>
  198. </header>
  199. <div class="post-body" itemprop="articleBody">
  200. <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.1/dist/katex.min.css" integrity="sha384-dbVIfZGuN1Yq7/1Ocstc1lUEm+AT+/rCkibIcC/OmWo5f0EA48Vf8CytHzGrSwbQ" crossorigin="anonymous"><p><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mtext mathvariant="monospace">Is</mtext><mtext>&#xA0;</mtext><mtext mathvariant="monospace">KaTeX</mtext><mtext>&#xA0;</mtext><mtext mathvariant="monospace">working?-IT</mtext><mtext>&#xA0;</mtext><mtext mathvariant="monospace">WORKED!NICE!</mtext></mrow><annotation encoding="application/x-tex">\texttt{Is KaTeX working?-IT WORKED!NICE!}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.83333em;vertical-align:-0.22222em;"></span><span class="mord text"><span class="mord texttt">Is&#xA0;KaTeX&#xA0;working?-IT&#xA0;WORKED!NICE!</span></span></span></span></span> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msup><mi>a</mi><mi>b</mi></msup></mrow><annotation encoding="application/x-tex">a^b</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8991079999999999em;vertical-align:0em;"></span><span class="mord"><span class="mord mathdefault">a</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8991079999999999em;"><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight">b</span></span></span></span></span></span></span></span></span></span></span></span> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo fence="true">(</mo><mfrac><mi>a</mi><mi>b</mi></mfrac><mo fence="true">)</mo></mrow><annotation encoding="application/x-tex">\left(\dfrac{a}{b}\right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.8359999999999999em;vertical-align:-0.686em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size2">(</span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.10756em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathdefault">b</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathdefault">a</span></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size2">)</span></span></span></span></span></span></span></p>
  201. </div>
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  206. <article itemscope itemtype="http://schema.org/Article" class="post-block home" lang="en">
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  210. <meta itemprop="name" content="Schtonn">
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  214. <meta itemprop="name" content="Schtonn's Blog">
  215. </span>
  216. <header class="post-header">
  217. <h1 class="post-title" itemprop="name headline">
  218. <a href="/2020/03/03/hello-world/" class="post-title-link" itemprop="url">Hello World</a>
  219. </h1>
  220. <div class="post-meta">
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  223. <i class="fa fa-calendar-o"></i>
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  225. <span class="post-meta-item-text">Posted on</span>
  226. <time title="Created: 2020-Mar-03 14:25:19" itemprop="dateCreated datePublished" datetime="2020-03-03T14:25:19+08:00">2020-Mar-03</time>
  227. </span>
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  230. <div class="post-body" itemprop="articleBody">
  231. <p>Welcome to <a href="https://hexo.io/" target="_blank" rel="noopener">Hexo</a>! This is your very first post. Check <a href="https://hexo.io/docs/" target="_blank" rel="noopener">documentation</a> for more info. If you get any problems when using Hexo, you can find the answer in <a href="https://hexo.io/docs/troubleshooting.html" target="_blank" rel="noopener">troubleshooting</a> or you can ask me on <a href="https://github.com/hexojs/hexo/issues" target="_blank" rel="noopener">GitHub</a>.</p>
  232. <h2 id="quick-start">Quick Start</h2>
  233. <h3 id="create-a-new-post">Create a new post</h3>
  234. <figure class="highlight bash"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$ hexo new <span class="string">&quot;My New Post&quot;</span></span><br></pre></td></tr></table></figure>
  235. <p>More info: <a href="https://hexo.io/docs/writing.html" target="_blank" rel="noopener">Writing</a></p>
  236. <h3 id="run-server">Run server</h3>
  237. <figure class="highlight bash"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$ hexo server</span><br></pre></td></tr></table></figure>
  238. <p>More info: <a href="https://hexo.io/docs/server.html" target="_blank" rel="noopener">Server</a></p>
  239. <h3 id="generate-static-files">Generate static files</h3>
  240. <figure class="highlight bash"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$ hexo generate</span><br></pre></td></tr></table></figure>
  241. <p>More info: <a href="https://hexo.io/docs/generating.html" target="_blank" rel="noopener">Generating</a></p>
  242. <h3 id="deploy-to-remote-sites">Deploy to remote sites</h3>
  243. <figure class="highlight bash"><table><tr><td class="gutter"><pre><span class="line">1</span><br></pre></td><td class="code"><pre><span class="line">$ hexo deploy</span><br></pre></td></tr></table></figure>
  244. <p>More info: <a href="https://hexo.io/docs/one-command-deployment.html" target="_blank" rel="noopener">Deployment</a></p>
  245. </div>
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  250. <article itemscope itemtype="http://schema.org/Article" class="post-block home" lang="en">
  251. <link itemprop="mainEntityOfPage" href="http://yoursite.com/2020/03/02/segment-tree/">
  252. <span hidden itemprop="author" itemscope itemtype="http://schema.org/Person">
  253. <meta itemprop="image" content="/images/avatar.gif">
  254. <meta itemprop="name" content="Schtonn">
  255. <meta itemprop="description" content="">
  256. </span>
  257. <span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization">
  258. <meta itemprop="name" content="Schtonn's Blog">
  259. </span>
  260. <header class="post-header">
  261. <h1 class="post-title" itemprop="name headline">
  262. <a href="/2020/03/02/segment-tree/" class="post-title-link" itemprop="url">线段树</a>
  263. </h1>
  264. <div class="post-meta">
  265. <span class="post-meta-item">
  266. <span class="post-meta-item-icon">
  267. <i class="fa fa-calendar-o"></i>
  268. </span>
  269. <span class="post-meta-item-text">Posted on</span>
  270. <time title="Created: 2020-Mar-02 11:37:36" itemprop="dateCreated datePublished" datetime="2020-03-02T11:37:36+08:00">2020-Mar-02</time>
  271. </span>
  272. <span class="post-meta-item">
  273. <span class="post-meta-item-icon">
  274. <i class="fa fa-calendar-check-o"></i>
  275. </span>
  276. <span class="post-meta-item-text">Edited on</span>
  277. <time title="Modified: 2020-Mar-03 17:50:37" itemprop="dateModified" datetime="2020-03-03T17:50:37+08:00">2020-Mar-03</time>
  278. </span>
  279. </div>
  280. </header>
  281. <div class="post-body" itemprop="articleBody">
  282. <h3 id="前置知识">前置知识</h3>
  283. <p>数组,结构体,二叉树</p>
  284. <h3 id="引入">引入</h3>
  285. <p>有时候我们会遇到一些大规模的区间查找和区间修改问题,比如让你维护一个 <span class="math inline">10^5</span> 长度的数列,要求操作有区间求和、区间加(区间每个数加上一个值),让你在一秒内完成 <span class="math inline">10^5</span> 次操作。 暴力是肯定不行的,数据范围太大,会超时。 所以我们就有一种专门解决大范围区间修改查询的数据结构:线段树。</p>
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  310. <a href="/2020/03/02/ferbonacci/" class="post-title-link" itemprop="url">斐波那契数列-O(1)</a>
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  325. <time title="Modified: 2020-Mar-03 17:49:27" itemprop="dateModified" datetime="2020-03-03T17:49:27+08:00">2020-Mar-03</time>
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  330. <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.10.1/dist/katex.min.css" integrity="sha384-dbVIfZGuN1Yq7/1Ocstc1lUEm+AT+/rCkibIcC/OmWo5f0EA48Vf8CytHzGrSwbQ" crossorigin="anonymous"><p>&#x5F15;&#x81EA;&#xFF1A;&#x300A;&#x4FE1;&#x606F;&#x5B66;&#x5965;&#x8D5B;&#x4E4B;-&#x6570;&#x5B66;&#x4E00;&#x672C;&#x901A;&#x300B; &#x63CD;&#x662F;&#x8FD9;&#x6837;&#xFF1A; <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">F</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo><mo>=</mo><mfrac><msqrt><mn>5</mn></msqrt><mn>5</mn></mfrac><mo>&#x22C5;</mo><mrow><mo fence="true">[</mo><msup><mrow><mo fence="true">(</mo><mn>1</mn><mo>+</mo><msqrt><mn>5</mn></msqrt><mo fence="true">)</mo></mrow><mi>n</mi></msup><mo>&#x2212;</mo><msup><mrow><mo fence="true">(</mo><mn>1</mn><mo>&#x2212;</mo><msqrt><mn>5</mn></msqrt><mo fence="true">)</mo></mrow><mi>n</mi></msup><mo fence="true">]</mo></mrow></mrow><annotation encoding="application/x-tex">\operatorname{F}(n)=\dfrac{\sqrt{5}}{5}\cdot\left[\left(1+\sqrt{5}\right)^n-\left(1-\sqrt{5}\right)^n\right]</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mop"><span class="mord mathrm">F</span></span><span class="mopen">(</span><span class="mord mathdefault">n</span><span class="mclose">)</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:2.27022em;vertical-align:-0.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.5842200000000002em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">5</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord sqrt"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.90722em;"><span class="svg-align" style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord">5</span></span></span><span style="top:-2.86722em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg width="400em" height="1.08em" viewbox="0 0 400000 1080" preserveaspectratio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,
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  337. -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,
  338. -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,
  339. 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,
  340. -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467
  341. s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422
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  344. -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,
  345. 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,
  346. -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467
  347. s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422
  348. s-65,47,-65,47z M834 80H400000v40H845z"/></svg></span></span></span><span class="vlist-s">&#x200B;</span></span><span class="vlist-r"><span class="vlist" style="height:0.08390500000000001em;"><span></span></span></span></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size2">)</span></span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:1.204292em;"><span style="top:-3.6029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight">n</span></span></span></span></span></span></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size2">]</span></span></span></span></span></span></span> &#x4EE3;&#x7801;&#x63CD;&#x8FD9;&#x4E48;&#x7B80;&#x5355;&#xFF1A; <figure class="highlight cpp"><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="function"><span class="keyword">int</span> <span class="title">ferbo</span><span class="params">(<span class="keyword">int</span> n)</span></span>{</span><br><span class="line"> <span class="keyword">return</span> (<span class="built_in">sqrt</span>(<span class="number">5</span>)/<span class="number">5</span>)*(<span class="built_in">pow</span>((<span class="number">1</span>+<span class="built_in">sqrt</span>(<span class="number">5</span>))/<span class="number">2</span>,n)-<span class="built_in">pow</span>((<span class="number">1</span>-<span class="built_in">sqrt</span>(<span class="number">5</span>))/<span class="number">2</span>,n));</span><br><span class="line">}</span><br></pre></td></tr></table></figure> &#x8981;&#x662F;&#x518D;&#x52A0;&#x4E2A;&#x5FEB;&#x901F;&#x5E42;&#x5C31;&#x66F4;&#x68D2;&#x4E86;&#xFF08;&#x591F;&#x5FEB;&#x4E86;&#xFF0C;&#x61D2;&#x5F97;&#x5199;&#xFF09;</p>
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  386. <h3 id="前置知识">前置知识</h3>
  387. <p>存图方式(<a href="http://baidu.physton.com/?q=邻接表" target="_blank" rel="noopener" title="简单">邻接表</a>,<a href="http://baidu.physton.com/?q=邻接矩阵" target="_blank" rel="noopener" title="都太简单了">邻接矩阵</a>),图的遍历(<a href="http://baidu.physton.com/?q=dfs" target="_blank" rel="noopener" title="简单">dfs</a>,<a href="http://baidu.physton.com/?q=bfs" target="_blank" rel="noopener" title="简单">bfs</a>)</p>
  388. <h3 id="引入">引入</h3>
  389. <p>我们举个例子吧: 有一个毒瘤水管工,他会造水管,有一天他造了一个水管网络,就像一个图。其中有一个点只有出边,就是起点,还有一个点只有入边,是终点。 点之间有一些管子,这些管子都有单位时间内的容量,现在毒瘤水管工想知道,他的管子在<strong>单位时间内</strong>在起点终点之间最多能流多少水。
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  414. <a href="/2020/03/01/min-span-tree/" class="post-title-link" itemprop="url">最小生成树</a>
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  429. <time title="Modified: 2020-Mar-03 17:49:52" itemprop="dateModified" datetime="2020-03-03T17:49:52+08:00">2020-Mar-03</time>
  430. </span>
  431. </div>
  432. </header>
  433. <div class="post-body" itemprop="articleBody">
  434. <h3 id="前置知识">前置知识</h3>
  435. <p>存图方式(<a href="http://baidu.physton.com/?q=邻接表" target="_blank" rel="noopener" title="简单">邻接表</a>,<a href="http://baidu.physton.com/?q=邻接矩阵" target="_blank" rel="noopener" title="都太简单了,没有一个打得过的">邻接矩阵</a>),<a href="https://schtonn.github.io/2020/03/01/union-find" target="_blank" rel="noopener">并查集</a>。 不会的快进入链接学习吧!</p>
  436. <h3 id="引入">引入</h3>
  437. <p>生成树,就是从一个图中选中<span class="math inline">n-1</span>条边,使得这些边构成一棵树,并包含图中的所有节点。 最小生成树,就是找到一种生成树,使得这个生成树的边权和最小。
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  462. <a href="/2020/03/01/union-find/" class="post-title-link" itemprop="url">并查集</a>
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  470. <time title="Created: 2020-Mar-01 22:44:33" itemprop="dateCreated datePublished" datetime="2020-03-01T22:44:33+08:00">2020-Mar-01</time>
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  477. <time title="Modified: 2020-Mar-03 17:51:50" itemprop="dateModified" datetime="2020-03-03T17:51:50+08:00">2020-Mar-03</time>
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  482. <h3 id="前置知识">前置知识</h3>
  483. <p>哈哈,简单到爆,没有。 ### 引入 并查集是一种快到爆炸的集合算法,可以进行两项基本操作:合并两个集合(并)、查询两个参数是否在一个集合内(查)。这也是它名字的由来。
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  508. <a href="/2020/03/01/tree-link/" class="post-title-link" itemprop="url">树链剖分</a>
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  515. <span class="post-meta-item-text">Posted on</span>
  516. <time title="Created: 2020-Mar-01 22:41:02" itemprop="dateCreated datePublished" datetime="2020-03-01T22:41:02+08:00">2020-Mar-01</time>
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  522. <span class="post-meta-item-text">Edited on</span>
  523. <time title="Modified: 2020-Mar-03 17:51:09" itemprop="dateModified" datetime="2020-03-03T17:51:09+08:00">2020-Mar-03</time>
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  528. <h3 id="前置知识">前置知识</h3>
  529. <p>必备:存图方式(<a href="http://baidu.physton.com/?q=邻接表" target="_blank" rel="noopener" title="简单">邻接表</a>,<a href="http://baidu.physton.com/?q=邻接矩阵" target="_blank" rel="noopener" title="都太简单了,没有一个打得过的">邻接矩阵</a>),<a href="http://baidu.physton.com/?q=dfs%E5%BA%8F" target="_blank" rel="noopener">dfs序</a>。 维护:<a href="http://baidu.physton.com/?q=%E7%BA%BF%E6%AE%B5%E6%A0%91" target="_blank" rel="noopener">线段树</a>、<a href="http://baidu.physton.com/?q=%E6%A0%91%E7%8A%B6%E6%95%B0%E7%BB%84" target="_blank" rel="noopener">树状数组</a>、<a href="http://baidu.physton.com/?q=BST" target="_blank" rel="noopener">BST</a>。 不会的快进入链接学习吧!</p>
  530. <h3 id="引入">引入</h3>
  531. <p>树链剖分,简单来说就是把树分割成链,然后维护每一条链。一般的维护算法有线段树,树状数组和BST。复杂度为<span class="math inline">O(log n)</span>。
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