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<a id="__codelineno-14-43" name="__codelineno-14-43" href="#__codelineno-14-43"></a><span class="w"> </span><span class="nb">panic</span><span class="p">(</span><span class="s">&quot;error&quot;</span><span class="p">)</span>
<a id="__codelineno-14-44" name="__codelineno-14-44" href="#__codelineno-14-44"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-14-45" name="__codelineno-14-45" href="#__codelineno-14-45"></a><span class="w"> </span><span class="c1">// 删除边 vet1 - vet2</span>
<a id="__codelineno-14-46" name="__codelineno-14-46" href="#__codelineno-14-46"></a><span class="w"> </span><span class="nx">DeleteSliceElms</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet1</span><span class="p">],</span><span class="w"> </span><span class="nx">vet2</span><span class="p">)</span>
<a id="__codelineno-14-47" name="__codelineno-14-47" href="#__codelineno-14-47"></a><span class="w"> </span><span class="nx">DeleteSliceElms</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet2</span><span class="p">],</span><span class="w"> </span><span class="nx">vet1</span><span class="p">)</span>
<a id="__codelineno-14-46" name="__codelineno-14-46" href="#__codelineno-14-46"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet1</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="nx">DeleteSliceElms</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet1</span><span class="p">],</span><span class="w"> </span><span class="nx">vet2</span><span class="p">)</span>
<a id="__codelineno-14-47" name="__codelineno-14-47" href="#__codelineno-14-47"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet2</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="nx">DeleteSliceElms</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet2</span><span class="p">],</span><span class="w"> </span><span class="nx">vet1</span><span class="p">)</span>
<a id="__codelineno-14-48" name="__codelineno-14-48" href="#__codelineno-14-48"></a><span class="p">}</span>
<a id="__codelineno-14-49" name="__codelineno-14-49" href="#__codelineno-14-49"></a>
<a id="__codelineno-14-50" name="__codelineno-14-50" href="#__codelineno-14-50"></a><span class="cm">/* 添加顶点 */</span>
@ -3349,8 +3365,8 @@
<a id="__codelineno-14-66" name="__codelineno-14-66" href="#__codelineno-14-66"></a><span class="w"> </span><span class="c1">// 在邻接表中删除顶点 vet 对应的链表</span>
<a id="__codelineno-14-67" name="__codelineno-14-67" href="#__codelineno-14-67"></a><span class="w"> </span><span class="nb">delete</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">,</span><span class="w"> </span><span class="nx">vet</span><span class="p">)</span>
<a id="__codelineno-14-68" name="__codelineno-14-68" href="#__codelineno-14-68"></a><span class="w"> </span><span class="c1">// 遍历其他顶点的链表，删除所有包含 vet 的边</span>
<a id="__codelineno-14-69" name="__codelineno-14-69" href="#__codelineno-14-69"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">_</span><span class="p">,</span><span class="w"> </span><span class="nx">list</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-14-70" name="__codelineno-14-70" href="#__codelineno-14-70"></a><span class="w"> </span><span class="nx">DeleteSliceElms</span><span class="p">(</span><span class="nx">list</span><span class="p">,</span><span class="w"> </span><span class="nx">vet</span><span class="p">)</span>
<a id="__codelineno-14-69" name="__codelineno-14-69" href="#__codelineno-14-69"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">v</span><span class="p">,</span><span class="w"> </span><span class="nx">list</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-14-70" name="__codelineno-14-70" href="#__codelineno-14-70"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">v</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="nx">DeleteSliceElms</span><span class="p">(</span><span class="nx">list</span><span class="p">,</span><span class="w"> </span><span class="nx">vet</span><span class="p">)</span>
<a id="__codelineno-14-71" name="__codelineno-14-71" href="#__codelineno-14-71"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-14-72" name="__codelineno-14-72" href="#__codelineno-14-72"></a><span class="p">}</span>
<a id="__codelineno-14-73" name="__codelineno-14-73" href="#__codelineno-14-73"></a>

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<a href="../../chapter_dynamic_programming/">13. &nbsp; &nbsp; 动态规划</a>
@ -2040,6 +2042,20 @@
<li class="md-nav__item">
<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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@ -1952,6 +1954,20 @@
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@ -1993,6 +1995,20 @@
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<a href="../../chapter_dynamic_programming/">13. &nbsp; &nbsp; 动态规划</a>
@ -2014,6 +2016,20 @@
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<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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<a href="../../chapter_dynamic_programming/">13. &nbsp; &nbsp; 动态规划</a>
@ -2020,6 +2022,20 @@
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<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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<a href="../../chapter_dynamic_programming/">13. &nbsp; &nbsp; 动态规划</a>
@ -2007,6 +2009,20 @@
<li class="md-nav__item">
<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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@ -2203,11 +2219,11 @@
<p><img alt="哈希表的抽象表示" src="../hash_map.assets/hash_table_lookup.png" /></p>
<p align="center"> Fig. 哈希表的抽象表示 </p>
<p>除哈希表外，我们还可以使用数组或链表实现查询功能，其中：</p>
<p>除哈希表外，我们还可以使用数组或链表实现查询功能。若将学生数据看作数组（链表）元素，则有：</p>
<ul>
<li>查询元素需要遍历数组（链表）中的所有元素，使用 <span class="arithmatex">\(O(n)\)</span> 时间；</li>
<li>添加元素仅需添加至数组（链表）的尾部即可，使用 <span class="arithmatex">\(O(1)\)</span> 时间；</li>
<li>删除元素需要先查询再删除，使用 <span class="arithmatex">\(O(n)\)</span> 时间；</li>
<li><strong>添加元素</strong>：仅需将元素添加至数组（链表）的尾部即可，使用 <span class="arithmatex">\(O(1)\)</span> 时间；</li>
<li><strong>查询元素</strong>：由于数组（链表）是乱序的，因此需要遍历数组（链表）中的所有元素，使用 <span class="arithmatex">\(O(n)\)</span> 时间；</li>
<li><strong>删除元素</strong>：需要先查询到元素，再从数组中删除，使用 <span class="arithmatex">\(O(n)\)</span> 时间；</li>
</ul>
<div class="center-table">
<table>

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@ -1952,6 +1954,20 @@
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<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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@ -1952,6 +1954,20 @@
<li class="md-nav__item">
<a href="../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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<a href="../../chapter_dynamic_programming/">13. &nbsp; &nbsp; 动态规划</a>
@ -1993,6 +1995,20 @@
<li class="md-nav__item">
<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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<a href="../../chapter_dynamic_programming/">13. &nbsp; &nbsp; 动态规划</a>
@ -2007,6 +2009,20 @@
<li class="md-nav__item">
<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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<div class="md-nav__link md-nav__link--index ">
<a href="../../chapter_dynamic_programming/">13. &nbsp; &nbsp; 动态规划</a>
@ -1962,6 +1964,20 @@
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<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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@ -2125,7 +2141,7 @@
<h1 id="11">1.1. &nbsp; 算法无处不在<a class="headerlink" href="#11" title="Permanent link">&para;</a></h1>
<p>当我们听到“算法”这个词时，很自然地会想到数学。然而实际上，许多算法并不涉及复杂数学，而是更多地依赖于基本逻辑，这些逻辑在我们的日常生活中处处可见。</p>
<p>在正式探讨算法之前，有一个有趣的事实值得分享：<strong>你已经在不知不觉中学会了许多算法，并习惯将它们应用到日常生活中了</strong>。下面，我将举即个具体例子来证实这一点。</p>
<p>在正式探讨算法之前，有一个有趣的事实值得分享：<strong>你已经在不知不觉中学会了许多算法，并习惯将它们应用到日常生活中了</strong>。下面，我将举几个具体例子来证实这一点。</p>
<p><strong>例一：拼装积木</strong>。一套积木，除了包含许多零件之外，还附有详细的组装说明书。我们按照说明书一步步操作，就能组装出精美的积木模型。</p>
<p>从数据结构与算法的角度来看，积木的各种形状和连接方式代表数据结构，而组装说明书上的一系列步骤则是算法。</p>
<p><img alt="拼装积木" src="../algorithms_are_everywhere.assets/assembling_blocks.jpg" /></p>

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@ -2007,6 +2009,20 @@
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<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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@ -1952,6 +1954,20 @@
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@ -2000,6 +2002,20 @@
<li class="md-nav__item">
<a href="../../chapter_dynamic_programming/knapsack_problem/" class="md-nav__link">
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@ -2283,7 +2299,7 @@
<a id="__codelineno-2-9" name="__codelineno-2-9" href="#__codelineno-2-9"></a> <span class="n">i</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="n">num</span> <span class="o">*</span> <span class="n">k</span><span class="p">)</span>
<a id="__codelineno-2-10" name="__codelineno-2-10" href="#__codelineno-2-10"></a> <span class="c1"># 将 num 添加进桶 i</span>
<a id="__codelineno-2-11" name="__codelineno-2-11" href="#__codelineno-2-11"></a> <span class="n">buckets</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">num</span><span class="p">)</span>
<a id="__codelineno-2-12" name="__codelineno-2-12" href="#__codelineno-2-12"></a> <span class="c1"># 2. 对各个桶执行排序5</span>
<a id="__codelineno-2-12" name="__codelineno-2-12" href="#__codelineno-2-12"></a> <span class="c1"># 2. 对各个桶执行排序</span>
<a id="__codelineno-2-13" name="__codelineno-2-13" href="#__codelineno-2-13"></a> <span class="k">for</span> <span class="n">bucket</span> <span class="ow">in</span> <span class="n">buckets</span><span class="p">:</span>
<a id="__codelineno-2-14" name="__codelineno-2-14" href="#__codelineno-2-14"></a> <span class="c1"># 使用内置排序函数，也可以替换成其他排序算法</span>
<a id="__codelineno-2-15" name="__codelineno-2-15" href="#__codelineno-2-15"></a> <span class="n">bucket</span><span class="o">.</span><span class="n">sort</span><span class="p">()</span>

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