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          <h3 id="薄弱项">薄弱项</h3>
<ol type="1">
<li><strong>作文</strong>
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<li>写日记
<ul>
<li>每天固定 9:00-9:30</li>
<li>内容不必精美</li>
<li>一周写五天，两天机动</li>
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<li>读书
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<li>作文辅导书为主 <code>作文大全等</code></li>
<li>其他书籍为辅</li>
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<li>录音</li>
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          <h3 id="前置知识">前置知识</h3>
<p>数组，结构体，二叉树</p>
<h3 id="引入">引入</h3>
<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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          <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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35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,
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          <h3 id="前置知识">前置知识</h3>
<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>
<h3 id="引入">引入</h3>
<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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            <a href="/2020/03/01/min-span-tree/" class="post-title-link" itemprop="url">最小生成树</a>
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          <h3 id="前置知识">前置知识</h3>
<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>
<h3 id="引入">引入</h3>
<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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          <h3 id="前置知识">前置知识</h3>
<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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          <h3 id="前置知识">前置知识</h3>
<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>
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<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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