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chapter_array_and_linkedlist/array/index.html

@@ -1055,7 +1055,7 @@
       
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-    4.1.2 &nbsp; 数组优点与局限性
+    4.1.2 &nbsp; 数组的优点与局限性
   </a>
   
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@@ -3438,7 +3438,7 @@
       
         <li class="md-nav__item">
   <a href="#412" class="md-nav__link">
-    4.1.2 &nbsp; 数组优点与局限性
+    4.1.2 &nbsp; 数组的优点与局限性
   </a>
   
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@@ -3506,13 +3506,13 @@
 
 <!-- Page content -->
 <h1 id="41">4.1 &nbsp; 数组<a class="headerlink" href="#41" title="Permanent link">&para;</a></h1>
-<p>「数组 array」是一种线性数据结构，其将相同类型元素存储在连续的内存空间中。我们将元素在数组中的位置称为该元素的「索引 index」。图 4-1 展示了数组的主要术语和概念。</p>
+<p>「数组 array」是一种线性数据结构，其将相同类型的元素存储在连续的内存空间中。我们将元素在数组中的位置称为该元素的「索引 index」。图 4-1 展示了数组的主要术语和概念。</p>
 <p><a class="glightbox" href="../array.assets/array_definition.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="数组定义与存储方式" class="animation-figure" src="../array.assets/array_definition.png" /></a></p>
 <p align="center"> 图 4-1 &nbsp; 数组定义与存储方式 </p>
 
 <h2 id="411">4.1.1 &nbsp; 数组常用操作<a class="headerlink" href="#411" title="Permanent link">&para;</a></h2>
 <h3 id="1">1. &nbsp; 初始化数组<a class="headerlink" href="#1" title="Permanent link">&para;</a></h3>
-<p>我们可以根据需求选用数组的两种初始化方式：无初始值、给定初始值。在未指定初始值的情况下，大多数编程语言会将数组元素初始化为 <span class="arithmatex">\(0\)</span> 。</p>
+<p>我们可以根据需求选用数组的两种初始化方式：无初始值、给定初始值。在未指定初始值的情况下，大多数编程语言会将数组元素初始化为 <span class="arithmatex">\(0\)</span> ：</p>
 <div class="tabbed-set tabbed-alternate" data-tabs="1:12"><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" /><input id="__tabbed_1_6" name="__tabbed_1" type="radio" /><input id="__tabbed_1_7" name="__tabbed_1" type="radio" /><input id="__tabbed_1_8" name="__tabbed_1" type="radio" /><input id="__tabbed_1_9" name="__tabbed_1" type="radio" /><input id="__tabbed_1_10" name="__tabbed_1" type="radio" /><input id="__tabbed_1_11" name="__tabbed_1" type="radio" /><input id="__tabbed_1_12" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1">Python</label><label for="__tabbed_1_2">C++</label><label for="__tabbed_1_3">Java</label><label for="__tabbed_1_4">C#</label><label for="__tabbed_1_5">Go</label><label for="__tabbed_1_6">Swift</label><label for="__tabbed_1_7">JS</label><label for="__tabbed_1_8">TS</label><label for="__tabbed_1_9">Dart</label><label for="__tabbed_1_10">Rust</label><label for="__tabbed_1_11">C</label><label for="__tabbed_1_12">Zig</label></div>
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@@ -3597,12 +3597,12 @@
 </div>
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 <h3 id="2">2. &nbsp; 访问元素<a class="headerlink" href="#2" title="Permanent link">&para;</a></h3>
-<p>数组元素被存储在连续的内存空间中，这意味着计算数组元素的内存地址非常容易。给定数组内存地址（即首元素内存地址）和某个元素的索引，我们可以使用图 4-2 所示的公式计算得到该元素的内存地址，从而直接访问此元素。</p>
+<p>数组元素被存储在连续的内存空间中，这意味着计算数组元素的内存地址非常容易。给定数组内存地址（首元素内存地址）和某个元素的索引，我们可以使用图 4-2 所示的公式计算得到该元素的内存地址，从而直接访问该元素。</p>
 <p><a class="glightbox" href="../array.assets/array_memory_location_calculation.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="数组元素的内存地址计算" class="animation-figure" src="../array.assets/array_memory_location_calculation.png" /></a></p>
 <p align="center"> 图 4-2 &nbsp; 数组元素的内存地址计算 </p>
 
-<p>观察图 4-2 ，我们发现数组首个元素的索引为 <span class="arithmatex">\(0\)</span> ，这似乎有些反直觉，因为从 <span class="arithmatex">\(1\)</span> 开始计数会更自然。但从地址计算公式的角度看，<strong>索引的含义本质上是内存地址的偏移量</strong>。首个元素的地址偏移量是 <span class="arithmatex">\(0\)</span> ，因此它的索引为 <span class="arithmatex">\(0\)</span> 也是合理的。</p>
-<p>在数组中访问元素是非常高效的，我们可以在 <span class="arithmatex">\(O(1)\)</span> 时间内随机访问数组中的任意一个元素。</p>
+<p>观察图 4-2 ，我们发现数组首个元素的索引为 <span class="arithmatex">\(0\)</span> ，这似乎有些反直觉，因为从 <span class="arithmatex">\(1\)</span> 开始计数会更自然。但从地址计算公式的角度看，<strong>索引本质上是内存地址的偏移量</strong>。首个元素的地址偏移量是 <span class="arithmatex">\(0\)</span> ，因此它的索引为 <span class="arithmatex">\(0\)</span> 是合理的。</p>
+<p>在数组中访问元素非常高效，我们可以在 <span class="arithmatex">\(O(1)\)</span> 时间内随机访问数组中的任意一个元素。</p>
 <div class="tabbed-set tabbed-alternate" data-tabs="2:12"><input checked="checked" id="__tabbed_2_1" name="__tabbed_2" type="radio" /><input id="__tabbed_2_2" name="__tabbed_2" type="radio" /><input id="__tabbed_2_3" name="__tabbed_2" type="radio" /><input id="__tabbed_2_4" name="__tabbed_2" type="radio" /><input id="__tabbed_2_5" name="__tabbed_2" type="radio" /><input id="__tabbed_2_6" name="__tabbed_2" type="radio" /><input id="__tabbed_2_7" name="__tabbed_2" type="radio" /><input id="__tabbed_2_8" name="__tabbed_2" type="radio" /><input id="__tabbed_2_9" name="__tabbed_2" type="radio" /><input id="__tabbed_2_10" name="__tabbed_2" type="radio" /><input id="__tabbed_2_11" name="__tabbed_2" type="radio" /><input id="__tabbed_2_12" name="__tabbed_2" type="radio" /><div class="tabbed-labels"><label for="__tabbed_2_1">Python</label><label for="__tabbed_2_2">C++</label><label for="__tabbed_2_3">Java</label><label for="__tabbed_2_4">C#</label><label for="__tabbed_2_5">Go</label><label for="__tabbed_2_6">Swift</label><label for="__tabbed_2_7">JS</label><label for="__tabbed_2_8">TS</label><label for="__tabbed_2_9">Dart</label><label for="__tabbed_2_10">Rust</label><label for="__tabbed_2_11">C</label><label for="__tabbed_2_12">Zig</label></div>
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@@ -3740,11 +3740,11 @@
 </div>
 </div>
 <h3 id="3">3. &nbsp; 插入元素<a class="headerlink" href="#3" title="Permanent link">&para;</a></h3>
-<p>数组元素在内存中是“紧挨着的”，它们之间没有空间再存放任何数据。如图 4-3 所示，如果想要在数组中间插入一个元素，则需要将该元素之后的所有元素都向后移动一位，之后再把元素赋值给该索引。</p>
+<p>数组元素在内存中是“紧挨着的”，它们之间没有空间再存放任何数据。如图 4-3 所示，如果想在数组中间插入一个元素，则需要将该元素之后的所有元素都向后移动一位，之后再把元素赋值给该索引。</p>
 <p><a class="glightbox" href="../array.assets/array_insert_element.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="数组插入元素示例" class="animation-figure" src="../array.assets/array_insert_element.png" /></a></p>
 <p align="center"> 图 4-3 &nbsp; 数组插入元素示例 </p>
 
-<p>值得注意的是，由于数组的长度是固定的，因此插入一个元素必定会导致数组尾部元素的“丢失”。我们将这个问题的解决方案留在列表章节中讨论。</p>
+<p>值得注意的是，由于数组的长度是固定的，因此插入一个元素必定会导致数组尾部元素“丢失”。我们将这个问题的解决方案留在“列表”章节中讨论。</p>
 <div class="tabbed-set tabbed-alternate" data-tabs="3:12"><input checked="checked" id="__tabbed_3_1" name="__tabbed_3" type="radio" /><input id="__tabbed_3_2" name="__tabbed_3" type="radio" /><input id="__tabbed_3_3" name="__tabbed_3" type="radio" /><input id="__tabbed_3_4" name="__tabbed_3" type="radio" /><input id="__tabbed_3_5" name="__tabbed_3" type="radio" /><input id="__tabbed_3_6" name="__tabbed_3" type="radio" /><input id="__tabbed_3_7" name="__tabbed_3" type="radio" /><input id="__tabbed_3_8" name="__tabbed_3" type="radio" /><input id="__tabbed_3_9" name="__tabbed_3" type="radio" /><input id="__tabbed_3_10" name="__tabbed_3" type="radio" /><input id="__tabbed_3_11" name="__tabbed_3" type="radio" /><input id="__tabbed_3_12" name="__tabbed_3" type="radio" /><div class="tabbed-labels"><label for="__tabbed_3_1">Python</label><label for="__tabbed_3_2">C++</label><label for="__tabbed_3_3">Java</label><label for="__tabbed_3_4">C#</label><label for="__tabbed_3_5">Go</label><label for="__tabbed_3_6">Swift</label><label for="__tabbed_3_7">JS</label><label for="__tabbed_3_8">TS</label><label for="__tabbed_3_9">Dart</label><label for="__tabbed_3_10">Rust</label><label for="__tabbed_3_11">C</label><label for="__tabbed_3_12">Zig</label></div>
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@@ -3753,7 +3753,7 @@
 <a id="__codelineno-24-3" name="__codelineno-24-3" href="#__codelineno-24-3"></a>    <span class="c1"># 把索引 index 以及之后的所有元素向后移动一位</span>
 <a id="__codelineno-24-4" name="__codelineno-24-4" href="#__codelineno-24-4"></a>    <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">nums</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">index</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">):</span>
 <a id="__codelineno-24-5" name="__codelineno-24-5" href="#__codelineno-24-5"></a>        <span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">nums</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span>
-<a id="__codelineno-24-6" name="__codelineno-24-6" href="#__codelineno-24-6"></a>    <span class="c1"># 将 num 赋给 index 处元素</span>
+<a id="__codelineno-24-6" name="__codelineno-24-6" href="#__codelineno-24-6"></a>    <span class="c1"># 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-24-7" name="__codelineno-24-7" href="#__codelineno-24-7"></a>    <span class="n">nums</span><span class="p">[</span><span class="n">index</span><span class="p">]</span> <span class="o">=</span> <span class="n">num</span>
 </code></pre></div>
 </div>
@@ -3764,7 +3764,7 @@
 <a id="__codelineno-25-4" name="__codelineno-25-4" href="#__codelineno-25-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">--</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-25-5" name="__codelineno-25-5" href="#__codelineno-25-5"></a><span class="w">        </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
 <a id="__codelineno-25-6" name="__codelineno-25-6" href="#__codelineno-25-6"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-25-7" name="__codelineno-25-7" href="#__codelineno-25-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-25-7" name="__codelineno-25-7" href="#__codelineno-25-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-25-8" name="__codelineno-25-8" href="#__codelineno-25-8"></a><span class="w">    </span><span class="n">nums</span><span class="p">[</span><span class="n">index</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-25-9" name="__codelineno-25-9" href="#__codelineno-25-9"></a><span class="p">}</span>
 </code></pre></div>
@@ -3776,7 +3776,7 @@
 <a id="__codelineno-26-4" name="__codelineno-26-4" href="#__codelineno-26-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="na">length</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">--</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-26-5" name="__codelineno-26-5" href="#__codelineno-26-5"></a><span class="w">        </span><span class="n">nums</span><span class="o">[</span><span class="n">i</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="o">[</span><span class="n">i</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="o">]</span><span class="p">;</span>
 <a id="__codelineno-26-6" name="__codelineno-26-6" href="#__codelineno-26-6"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-26-7" name="__codelineno-26-7" href="#__codelineno-26-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-26-7" name="__codelineno-26-7" href="#__codelineno-26-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-26-8" name="__codelineno-26-8" href="#__codelineno-26-8"></a><span class="w">    </span><span class="n">nums</span><span class="o">[</span><span class="n">index</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-26-9" name="__codelineno-26-9" href="#__codelineno-26-9"></a><span class="p">}</span>
 </code></pre></div>
@@ -3788,7 +3788,7 @@
 <a id="__codelineno-27-4" name="__codelineno-27-4" href="#__codelineno-27-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="n">Length</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="m">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">--</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-27-5" name="__codelineno-27-5" href="#__codelineno-27-5"></a><span class="w">        </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="m">1</span><span class="p">];</span>
 <a id="__codelineno-27-6" name="__codelineno-27-6" href="#__codelineno-27-6"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-27-7" name="__codelineno-27-7" href="#__codelineno-27-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-27-7" name="__codelineno-27-7" href="#__codelineno-27-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-27-8" name="__codelineno-27-8" href="#__codelineno-27-8"></a><span class="w">    </span><span class="n">nums</span><span class="p">[</span><span class="n">index</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-27-9" name="__codelineno-27-9" href="#__codelineno-27-9"></a><span class="p">}</span>
 </code></pre></div>
@@ -3800,7 +3800,7 @@
 <a id="__codelineno-28-4" name="__codelineno-28-4" href="#__codelineno-28-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nb">len</span><span class="p">(</span><span class="nx">nums</span><span class="p">)</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="p">&gt;</span><span class="w"> </span><span class="nx">index</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="o">--</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-28-5" name="__codelineno-28-5" href="#__codelineno-28-5"></a><span class="w">        </span><span class="nx">nums</span><span class="p">[</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="nx">nums</span><span class="p">[</span><span class="nx">i</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
 <a id="__codelineno-28-6" name="__codelineno-28-6" href="#__codelineno-28-6"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-28-7" name="__codelineno-28-7" href="#__codelineno-28-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-28-7" name="__codelineno-28-7" href="#__codelineno-28-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-28-8" name="__codelineno-28-8" href="#__codelineno-28-8"></a><span class="w">    </span><span class="nx">nums</span><span class="p">[</span><span class="nx">index</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="nx">num</span>
 <a id="__codelineno-28-9" name="__codelineno-28-9" href="#__codelineno-28-9"></a><span class="p">}</span>
 </code></pre></div>
@@ -3812,7 +3812,7 @@
 <a id="__codelineno-29-4" name="__codelineno-29-4" href="#__codelineno-29-4"></a>    <span class="k">for</span> <span class="n">i</span> <span class="k">in</span> <span class="n">nums</span><span class="p">.</span><span class="bp">indices</span><span class="p">.</span><span class="bp">dropFirst</span><span class="p">(</span><span class="n">index</span><span class="p">).</span><span class="n">reversed</span><span class="p">()</span> <span class="p">{</span>
 <a id="__codelineno-29-5" name="__codelineno-29-5" href="#__codelineno-29-5"></a>        <span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="p">=</span> <span class="n">nums</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span>
 <a id="__codelineno-29-6" name="__codelineno-29-6" href="#__codelineno-29-6"></a>    <span class="p">}</span>
-<a id="__codelineno-29-7" name="__codelineno-29-7" href="#__codelineno-29-7"></a>    <span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-29-7" name="__codelineno-29-7" href="#__codelineno-29-7"></a>    <span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-29-8" name="__codelineno-29-8" href="#__codelineno-29-8"></a>    <span class="n">nums</span><span class="p">[</span><span class="n">index</span><span class="p">]</span> <span class="p">=</span> <span class="n">num</span>
 <a id="__codelineno-29-9" name="__codelineno-29-9" href="#__codelineno-29-9"></a><span class="p">}</span>
 </code></pre></div>
@@ -3824,7 +3824,7 @@
 <a id="__codelineno-30-4" name="__codelineno-30-4" href="#__codelineno-30-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">let</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">nums</span><span class="p">.</span><span class="nx">length</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="nx">index</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="o">--</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-30-5" name="__codelineno-30-5" href="#__codelineno-30-5"></a><span class="w">        </span><span class="nx">nums</span><span class="p">[</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">nums</span><span class="p">[</span><span class="nx">i</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mf">1</span><span class="p">];</span>
 <a id="__codelineno-30-6" name="__codelineno-30-6" href="#__codelineno-30-6"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-30-7" name="__codelineno-30-7" href="#__codelineno-30-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-30-7" name="__codelineno-30-7" href="#__codelineno-30-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-30-8" name="__codelineno-30-8" href="#__codelineno-30-8"></a><span class="w">    </span><span class="nx">nums</span><span class="p">[</span><span class="nx">index</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">num</span><span class="p">;</span>
 <a id="__codelineno-30-9" name="__codelineno-30-9" href="#__codelineno-30-9"></a><span class="p">}</span>
 </code></pre></div>
@@ -3836,7 +3836,7 @@
 <a id="__codelineno-31-4" name="__codelineno-31-4" href="#__codelineno-31-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">let</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">nums</span><span class="p">.</span><span class="nx">length</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="nx">index</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="o">--</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-31-5" name="__codelineno-31-5" href="#__codelineno-31-5"></a><span class="w">        </span><span class="nx">nums</span><span class="p">[</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">nums</span><span class="p">[</span><span class="nx">i</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mf">1</span><span class="p">];</span>
 <a id="__codelineno-31-6" name="__codelineno-31-6" href="#__codelineno-31-6"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-31-7" name="__codelineno-31-7" href="#__codelineno-31-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-31-7" name="__codelineno-31-7" href="#__codelineno-31-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-31-8" name="__codelineno-31-8" href="#__codelineno-31-8"></a><span class="w">    </span><span class="nx">nums</span><span class="p">[</span><span class="nx">index</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">num</span><span class="p">;</span>
 <a id="__codelineno-31-9" name="__codelineno-31-9" href="#__codelineno-31-9"></a><span class="p">}</span>
 </code></pre></div>
@@ -3860,7 +3860,7 @@
 <a id="__codelineno-33-4" name="__codelineno-33-4" href="#__codelineno-33-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="p">(</span><span class="n">index</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="o">..</span><span class="n">nums</span><span class="p">.</span><span class="n">len</span><span class="p">()).</span><span class="n">rev</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-33-5" name="__codelineno-33-5" href="#__codelineno-33-5"></a><span class="w">        </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
 <a id="__codelineno-33-6" name="__codelineno-33-6" href="#__codelineno-33-6"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-33-7" name="__codelineno-33-7" href="#__codelineno-33-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-33-7" name="__codelineno-33-7" href="#__codelineno-33-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-33-8" name="__codelineno-33-8" href="#__codelineno-33-8"></a><span class="w">    </span><span class="n">nums</span><span class="p">[</span><span class="n">index</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-33-9" name="__codelineno-33-9" href="#__codelineno-33-9"></a><span class="p">}</span>
 </code></pre></div>
@@ -3872,7 +3872,7 @@
 <a id="__codelineno-34-4" name="__codelineno-34-4" href="#__codelineno-34-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">--</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-34-5" name="__codelineno-34-5" href="#__codelineno-34-5"></a><span class="w">        </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
 <a id="__codelineno-34-6" name="__codelineno-34-6" href="#__codelineno-34-6"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-34-7" name="__codelineno-34-7" href="#__codelineno-34-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-34-7" name="__codelineno-34-7" href="#__codelineno-34-7"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-34-8" name="__codelineno-34-8" href="#__codelineno-34-8"></a><span class="w">    </span><span class="n">nums</span><span class="p">[</span><span class="n">index</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-34-9" name="__codelineno-34-9" href="#__codelineno-34-9"></a><span class="p">}</span>
 </code></pre></div>
@@ -3885,7 +3885,7 @@
 <a id="__codelineno-35-5" name="__codelineno-35-5" href="#__codelineno-35-5"></a><span class="w">    </span><span class="k">while</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">&gt;</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">-=</span><span class="w"> </span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-35-6" name="__codelineno-35-6" href="#__codelineno-35-6"></a><span class="w">        </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
 <a id="__codelineno-35-7" name="__codelineno-35-7" href="#__codelineno-35-7"></a><span class="w">    </span><span class="p">}</span>
-<a id="__codelineno-35-8" name="__codelineno-35-8" href="#__codelineno-35-8"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处元素</span>
+<a id="__codelineno-35-8" name="__codelineno-35-8" href="#__codelineno-35-8"></a><span class="w">    </span><span class="c1">// 将 num 赋给 index 处的元素</span>
 <a id="__codelineno-35-9" name="__codelineno-35-9" href="#__codelineno-35-9"></a><span class="w">    </span><span class="n">nums</span><span class="p">[</span><span class="n">index</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">num</span><span class="p">;</span>
 <a id="__codelineno-35-10" name="__codelineno-35-10" href="#__codelineno-35-10"></a><span class="p">}</span>
 </code></pre></div>
@@ -3893,7 +3893,7 @@
 </div>
 </div>
 <h3 id="4">4. &nbsp; 删除元素<a class="headerlink" href="#4" title="Permanent link">&para;</a></h3>
-<p>同理，如图 4-4 所示，若想要删除索引 <span class="arithmatex">\(i\)</span> 处的元素，则需要把索引 <span class="arithmatex">\(i\)</span> 之后的元素都向前移动一位。</p>
+<p>同理，如图 4-4 所示，若想删除索引 <span class="arithmatex">\(i\)</span> 处的元素，则需要把索引 <span class="arithmatex">\(i\)</span> 之后的元素都向前移动一位。</p>
 <p><a class="glightbox" href="../array.assets/array_remove_element.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="数组删除元素示例" class="animation-figure" src="../array.assets/array_remove_element.png" /></a></p>
 <p align="center"> 图 4-4 &nbsp; 数组删除元素示例 </p>
 
@@ -3902,14 +3902,14 @@
 <div class="tabbed-content">
 <div class="tabbed-block">
 <div class="highlight"><span class="filename">array.py</span><pre><span></span><code><a id="__codelineno-36-1" name="__codelineno-36-1" href="#__codelineno-36-1"></a><span class="k">def</span> <span class="nf">remove</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">int</span><span class="p">],</span> <span class="n">index</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
-<a id="__codelineno-36-2" name="__codelineno-36-2" href="#__codelineno-36-2"></a><span class="w">    </span><span class="sd">&quot;&quot;&quot;删除索引 index 处元素&quot;&quot;&quot;</span>
+<a id="__codelineno-36-2" name="__codelineno-36-2" href="#__codelineno-36-2"></a><span class="w">    </span><span class="sd">&quot;&quot;&quot;删除索引 index 处的元素&quot;&quot;&quot;</span>
 <a id="__codelineno-36-3" name="__codelineno-36-3" href="#__codelineno-36-3"></a>    <span class="c1"># 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-36-4" name="__codelineno-36-4" href="#__codelineno-36-4"></a>    <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">index</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">nums</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
 <a id="__codelineno-36-5" name="__codelineno-36-5" href="#__codelineno-36-5"></a>        <span class="n">nums</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">nums</span><span class="p">[</span><span class="n">i</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span>
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.cpp</span><pre><span></span><code><a id="__codelineno-37-1" name="__codelineno-37-1" href="#__codelineno-37-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.cpp</span><pre><span></span><code><a id="__codelineno-37-1" name="__codelineno-37-1" href="#__codelineno-37-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-37-2" name="__codelineno-37-2" href="#__codelineno-37-2"></a><span class="kt">void</span><span class="w"> </span><span class="nf">remove</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">nums</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-37-3" name="__codelineno-37-3" href="#__codelineno-37-3"></a><span class="w">    </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-37-4" name="__codelineno-37-4" href="#__codelineno-37-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
@@ -3919,7 +3919,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.java</span><pre><span></span><code><a id="__codelineno-38-1" name="__codelineno-38-1" href="#__codelineno-38-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.java</span><pre><span></span><code><a id="__codelineno-38-1" name="__codelineno-38-1" href="#__codelineno-38-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-38-2" name="__codelineno-38-2" href="#__codelineno-38-2"></a><span class="kt">void</span><span class="w"> </span><span class="nf">remove</span><span class="p">(</span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="n">nums</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-38-3" name="__codelineno-38-3" href="#__codelineno-38-3"></a><span class="w">    </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-38-4" name="__codelineno-38-4" href="#__codelineno-38-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="na">length</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
@@ -3929,7 +3929,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.cs</span><pre><span></span><code><a id="__codelineno-39-1" name="__codelineno-39-1" href="#__codelineno-39-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.cs</span><pre><span></span><code><a id="__codelineno-39-1" name="__codelineno-39-1" href="#__codelineno-39-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-39-2" name="__codelineno-39-2" href="#__codelineno-39-2"></a><span class="k">void</span><span class="w"> </span><span class="nf">Remove</span><span class="p">(</span><span class="kt">int</span><span class="p">[]</span><span class="w"> </span><span class="n">nums</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-39-3" name="__codelineno-39-3" href="#__codelineno-39-3"></a><span class="w">    </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-39-4" name="__codelineno-39-4" href="#__codelineno-39-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="n">Length</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="m">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
@@ -3939,7 +3939,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.go</span><pre><span></span><code><a id="__codelineno-40-1" name="__codelineno-40-1" href="#__codelineno-40-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.go</span><pre><span></span><code><a id="__codelineno-40-1" name="__codelineno-40-1" href="#__codelineno-40-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-40-2" name="__codelineno-40-2" href="#__codelineno-40-2"></a><span class="kd">func</span><span class="w"> </span><span class="nx">remove</span><span class="p">(</span><span class="nx">nums</span><span class="w"> </span><span class="p">[]</span><span class="kt">int</span><span class="p">,</span><span class="w"> </span><span class="nx">index</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-40-3" name="__codelineno-40-3" href="#__codelineno-40-3"></a><span class="w">    </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-40-4" name="__codelineno-40-4" href="#__codelineno-40-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nx">index</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="p">&lt;</span><span class="w"> </span><span class="nb">len</span><span class="p">(</span><span class="nx">nums</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="o">++</span><span class="w"> </span><span class="p">{</span>
@@ -3949,7 +3949,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.swift</span><pre><span></span><code><a id="__codelineno-41-1" name="__codelineno-41-1" href="#__codelineno-41-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.swift</span><pre><span></span><code><a id="__codelineno-41-1" name="__codelineno-41-1" href="#__codelineno-41-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-41-2" name="__codelineno-41-2" href="#__codelineno-41-2"></a><span class="kd">func</span> <span class="nf">remove</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span> <span class="kr">inout</span> <span class="p">[</span><span class="nb">Int</span><span class="p">],</span> <span class="n">index</span><span class="p">:</span> <span class="nb">Int</span><span class="p">)</span> <span class="p">{</span>
 <a id="__codelineno-41-3" name="__codelineno-41-3" href="#__codelineno-41-3"></a>    <span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-41-4" name="__codelineno-41-4" href="#__codelineno-41-4"></a>    <span class="k">for</span> <span class="n">i</span> <span class="k">in</span> <span class="n">nums</span><span class="p">.</span><span class="bp">indices</span><span class="p">.</span><span class="bp">dropFirst</span><span class="p">(</span><span class="n">index</span><span class="p">).</span><span class="bp">dropLast</span><span class="p">()</span> <span class="p">{</span>
@@ -3959,7 +3959,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.js</span><pre><span></span><code><a id="__codelineno-42-1" name="__codelineno-42-1" href="#__codelineno-42-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.js</span><pre><span></span><code><a id="__codelineno-42-1" name="__codelineno-42-1" href="#__codelineno-42-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-42-2" name="__codelineno-42-2" href="#__codelineno-42-2"></a><span class="kd">function</span><span class="w"> </span><span class="nx">remove</span><span class="p">(</span><span class="nx">nums</span><span class="p">,</span><span class="w"> </span><span class="nx">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-42-3" name="__codelineno-42-3" href="#__codelineno-42-3"></a><span class="w">    </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-42-4" name="__codelineno-42-4" href="#__codelineno-42-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">let</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">index</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="nx">nums</span><span class="p">.</span><span class="nx">length</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
@@ -3969,7 +3969,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.ts</span><pre><span></span><code><a id="__codelineno-43-1" name="__codelineno-43-1" href="#__codelineno-43-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.ts</span><pre><span></span><code><a id="__codelineno-43-1" name="__codelineno-43-1" href="#__codelineno-43-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-43-2" name="__codelineno-43-2" href="#__codelineno-43-2"></a><span class="kd">function</span><span class="w"> </span><span class="nx">remove</span><span class="p">(</span><span class="nx">nums</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[],</span><span class="w"> </span><span class="nx">index</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-43-3" name="__codelineno-43-3" href="#__codelineno-43-3"></a><span class="w">    </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-43-4" name="__codelineno-43-4" href="#__codelineno-43-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">let</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">index</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="nx">nums</span><span class="p">.</span><span class="nx">length</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span><span class="w"> </span><span class="nx">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
@@ -3979,7 +3979,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.dart</span><pre><span></span><code><a id="__codelineno-44-1" name="__codelineno-44-1" href="#__codelineno-44-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.dart</span><pre><span></span><code><a id="__codelineno-44-1" name="__codelineno-44-1" href="#__codelineno-44-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-44-2" name="__codelineno-44-2" href="#__codelineno-44-2"></a><span class="kt">void</span><span class="w"> </span><span class="n">remove</span><span class="p">(</span><span class="n">List</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;</span><span class="w"> </span><span class="n">nums</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-44-3" name="__codelineno-44-3" href="#__codelineno-44-3"></a><span class="w">  </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-44-4" name="__codelineno-44-4" href="#__codelineno-44-4"></a><span class="w">  </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">var</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="n">length</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="m">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
@@ -3989,7 +3989,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.rs</span><pre><span></span><code><a id="__codelineno-45-1" name="__codelineno-45-1" href="#__codelineno-45-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.rs</span><pre><span></span><code><a id="__codelineno-45-1" name="__codelineno-45-1" href="#__codelineno-45-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-45-2" name="__codelineno-45-2" href="#__codelineno-45-2"></a><span class="k">fn</span> <span class="nf">remove</span><span class="p">(</span><span class="n">nums</span>: <span class="kp">&amp;</span><span class="nc">mut</span><span class="w"> </span><span class="nb">Vec</span><span class="o">&lt;</span><span class="kt">i32</span><span class="o">&gt;</span><span class="p">,</span><span class="w"> </span><span class="n">index</span>: <span class="kt">usize</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-45-3" name="__codelineno-45-3" href="#__codelineno-45-3"></a><span class="w">    </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-45-4" name="__codelineno-45-4" href="#__codelineno-45-4"></a><span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">index</span><span class="o">..</span><span class="n">nums</span><span class="p">.</span><span class="n">len</span><span class="p">()</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="w"> </span><span class="p">{</span>
@@ -3999,7 +3999,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.c</span><pre><span></span><code><a id="__codelineno-46-1" name="__codelineno-46-1" href="#__codelineno-46-1"></a><span class="cm">/* 删除索引 index 处元素 */</span>
+<div class="highlight"><span class="filename">array.c</span><pre><span></span><code><a id="__codelineno-46-1" name="__codelineno-46-1" href="#__codelineno-46-1"></a><span class="cm">/* 删除索引 index 处的元素 */</span>
 <a id="__codelineno-46-2" name="__codelineno-46-2" href="#__codelineno-46-2"></a><span class="c1">// 注意：stdio.h 占用了 remove 关键词</span>
 <a id="__codelineno-46-3" name="__codelineno-46-3" href="#__codelineno-46-3"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeItem</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">nums</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-46-4" name="__codelineno-46-4" href="#__codelineno-46-4"></a><span class="w">    </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
@@ -4010,7 +4010,7 @@
 </code></pre></div>
 </div>
 <div class="tabbed-block">
-<div class="highlight"><span class="filename">array.zig</span><pre><span></span><code><a id="__codelineno-47-1" name="__codelineno-47-1" href="#__codelineno-47-1"></a><span class="c1">// 删除索引 index 处元素</span>
+<div class="highlight"><span class="filename">array.zig</span><pre><span></span><code><a id="__codelineno-47-1" name="__codelineno-47-1" href="#__codelineno-47-1"></a><span class="c1">// 删除索引 index 处的元素</span>
 <a id="__codelineno-47-2" name="__codelineno-47-2" href="#__codelineno-47-2"></a><span class="k">fn</span><span class="w"> </span><span class="n">remove</span><span class="p">(</span><span class="n">nums</span><span class="o">:</span><span class="w"> </span><span class="p">[]</span><span class="kt">i32</span><span class="p">,</span><span class="w"> </span><span class="n">index</span><span class="o">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">)</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-47-3" name="__codelineno-47-3" href="#__codelineno-47-3"></a><span class="w">    </span><span class="c1">// 把索引 index 之后的所有元素向前移动一位</span>
 <a id="__codelineno-47-4" name="__codelineno-47-4" href="#__codelineno-47-4"></a><span class="w">    </span><span class="kr">var</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span>
@@ -4026,10 +4026,10 @@
 <ul>
 <li><strong>时间复杂度高</strong>：数组的插入和删除的平均时间复杂度均为 <span class="arithmatex">\(O(n)\)</span> ，其中 <span class="arithmatex">\(n\)</span> 为数组长度。</li>
 <li><strong>丢失元素</strong>：由于数组的长度不可变，因此在插入元素后，超出数组长度范围的元素会丢失。</li>
-<li><strong>内存浪费</strong>：我们可以初始化一个比较长的数组，只用前面一部分，这样在插入数据时，丢失的末尾元素都是“无意义”的，但这样做也会造成部分内存空间的浪费。</li>
+<li><strong>内存浪费</strong>：我们可以初始化一个比较长的数组，只用前面一部分，这样在插入数据时，丢失的末尾元素都是“无意义”的，但这样做会造成部分内存空间浪费。</li>
 </ul>
 <h3 id="5">5. &nbsp; 遍历数组<a class="headerlink" href="#5" title="Permanent link">&para;</a></h3>
-<p>在大多数编程语言中，我们既可以通过索引遍历数组，也可以直接遍历获取数组中的每个元素。</p>
+<p>在大多数编程语言中，我们既可以通过索引遍历数组，也可以直接遍历获取数组中的每个元素：</p>
 <div class="tabbed-set tabbed-alternate" data-tabs="5:12"><input checked="checked" id="__tabbed_5_1" name="__tabbed_5" type="radio" /><input id="__tabbed_5_2" name="__tabbed_5" type="radio" /><input id="__tabbed_5_3" name="__tabbed_5" type="radio" /><input id="__tabbed_5_4" name="__tabbed_5" type="radio" /><input id="__tabbed_5_5" name="__tabbed_5" type="radio" /><input id="__tabbed_5_6" name="__tabbed_5" type="radio" /><input id="__tabbed_5_7" name="__tabbed_5" type="radio" /><input id="__tabbed_5_8" name="__tabbed_5" type="radio" /><input id="__tabbed_5_9" name="__tabbed_5" type="radio" /><input id="__tabbed_5_10" name="__tabbed_5" type="radio" /><input id="__tabbed_5_11" name="__tabbed_5" type="radio" /><input id="__tabbed_5_12" name="__tabbed_5" type="radio" /><div class="tabbed-labels"><label for="__tabbed_5_1">Python</label><label for="__tabbed_5_2">C++</label><label for="__tabbed_5_3">Java</label><label for="__tabbed_5_4">C#</label><label for="__tabbed_5_5">Go</label><label for="__tabbed_5_6">Swift</label><label for="__tabbed_5_7">JS</label><label for="__tabbed_5_8">TS</label><label for="__tabbed_5_9">Dart</label><label for="__tabbed_5_10">Rust</label><label for="__tabbed_5_11">C</label><label for="__tabbed_5_12">Zig</label></div>
 <div class="tabbed-content">
 <div class="tabbed-block">
@@ -4361,7 +4361,7 @@
 </div>
 <h3 id="7">7. &nbsp; 扩容数组<a class="headerlink" href="#7" title="Permanent link">&para;</a></h3>
 <p>在复杂的系统环境中，程序难以保证数组之后的内存空间是可用的，从而无法安全地扩展数组容量。因此在大多数编程语言中，<strong>数组的长度是不可变的</strong>。</p>
-<p>如果我们希望扩容数组，则需重新建立一个更大的数组，然后把原数组元素依次拷贝到新数组。这是一个 <span class="arithmatex">\(O(n)\)</span> 的操作，在数组很大的情况下是非常耗时的。</p>
+<p>如果我们希望扩容数组，则需重新建立一个更大的数组，然后把原数组元素依次复制到新数组。这是一个 <span class="arithmatex">\(O(n)\)</span> 的操作，在数组很大的情况下非常耗时。代码如下所示：</p>
 <div class="tabbed-set tabbed-alternate" data-tabs="7:12"><input checked="checked" id="__tabbed_7_1" name="__tabbed_7" type="radio" /><input id="__tabbed_7_2" name="__tabbed_7" type="radio" /><input id="__tabbed_7_3" name="__tabbed_7" type="radio" /><input id="__tabbed_7_4" name="__tabbed_7" type="radio" /><input id="__tabbed_7_5" name="__tabbed_7" type="radio" /><input id="__tabbed_7_6" name="__tabbed_7" type="radio" /><input id="__tabbed_7_7" name="__tabbed_7" type="radio" /><input id="__tabbed_7_8" name="__tabbed_7" type="radio" /><input id="__tabbed_7_9" name="__tabbed_7" type="radio" /><input id="__tabbed_7_10" name="__tabbed_7" type="radio" /><input id="__tabbed_7_11" name="__tabbed_7" type="radio" /><input id="__tabbed_7_12" name="__tabbed_7" type="radio" /><div class="tabbed-labels"><label for="__tabbed_7_1">Python</label><label for="__tabbed_7_2">C++</label><label for="__tabbed_7_3">Java</label><label for="__tabbed_7_4">C#</label><label for="__tabbed_7_5">Go</label><label for="__tabbed_7_6">Swift</label><label for="__tabbed_7_7">JS</label><label for="__tabbed_7_8">TS</label><label for="__tabbed_7_9">Dart</label><label for="__tabbed_7_10">Rust</label><label for="__tabbed_7_11">C</label><label for="__tabbed_7_12">Zig</label></div>
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@@ -4451,7 +4451,7 @@
 <div class="tabbed-block">
 <div class="highlight"><span class="filename">array.js</span><pre><span></span><code><a id="__codelineno-78-1" name="__codelineno-78-1" href="#__codelineno-78-1"></a><span class="cm">/* 扩展数组长度 */</span>
 <a id="__codelineno-78-2" name="__codelineno-78-2" href="#__codelineno-78-2"></a><span class="c1">// 请注意，JavaScript 的 Array 是动态数组，可以直接扩展</span>
-<a id="__codelineno-78-3" name="__codelineno-78-3" href="#__codelineno-78-3"></a><span class="c1">// 为了方便学习，本函数将 Array 看作是长度不可变的数组</span>
+<a id="__codelineno-78-3" name="__codelineno-78-3" href="#__codelineno-78-3"></a><span class="c1">// 为了方便学习，本函数将 Array 看作长度不可变的数组</span>
 <a id="__codelineno-78-4" name="__codelineno-78-4" href="#__codelineno-78-4"></a><span class="kd">function</span><span class="w"> </span><span class="nx">extend</span><span class="p">(</span><span class="nx">nums</span><span class="p">,</span><span class="w"> </span><span class="nx">enlarge</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-78-5" name="__codelineno-78-5" href="#__codelineno-78-5"></a><span class="w">    </span><span class="c1">// 初始化一个扩展长度后的数组</span>
 <a id="__codelineno-78-6" name="__codelineno-78-6" href="#__codelineno-78-6"></a><span class="w">    </span><span class="kd">const</span><span class="w"> </span><span class="nx">res</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="nb">Array</span><span class="p">(</span><span class="nx">nums</span><span class="p">.</span><span class="nx">length</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="nx">enlarge</span><span class="p">).</span><span class="nx">fill</span><span class="p">(</span><span class="mf">0</span><span class="p">);</span>
@@ -4467,7 +4467,7 @@
 <div class="tabbed-block">
 <div class="highlight"><span class="filename">array.ts</span><pre><span></span><code><a id="__codelineno-79-1" name="__codelineno-79-1" href="#__codelineno-79-1"></a><span class="cm">/* 扩展数组长度 */</span>
 <a id="__codelineno-79-2" name="__codelineno-79-2" href="#__codelineno-79-2"></a><span class="c1">// 请注意，TypeScript 的 Array 是动态数组，可以直接扩展</span>
-<a id="__codelineno-79-3" name="__codelineno-79-3" href="#__codelineno-79-3"></a><span class="c1">// 为了方便学习，本函数将 Array 看作是长度不可变的数组</span>
+<a id="__codelineno-79-3" name="__codelineno-79-3" href="#__codelineno-79-3"></a><span class="c1">// 为了方便学习，本函数将 Array 看作长度不可变的数组</span>
 <a id="__codelineno-79-4" name="__codelineno-79-4" href="#__codelineno-79-4"></a><span class="kd">function</span><span class="w"> </span><span class="nx">extend</span><span class="p">(</span><span class="nx">nums</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[],</span><span class="w"> </span><span class="nx">enlarge</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[]</span><span class="w"> </span><span class="p">{</span>
 <a id="__codelineno-79-5" name="__codelineno-79-5" href="#__codelineno-79-5"></a><span class="w">    </span><span class="c1">// 初始化一个扩展长度后的数组</span>
 <a id="__codelineno-79-6" name="__codelineno-79-6" href="#__codelineno-79-6"></a><span class="w">    </span><span class="kd">const</span><span class="w"> </span><span class="nx">res</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="nb">Array</span><span class="p">(</span><span class="nx">nums</span><span class="p">.</span><span class="nx">length</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="nx">enlarge</span><span class="p">).</span><span class="nx">fill</span><span class="p">(</span><span class="mf">0</span><span class="p">);</span>
@@ -4541,25 +4541,25 @@
 </div>
 </div>
 </div>
-<h2 id="412">4.1.2 &nbsp; 数组优点与局限性<a class="headerlink" href="#412" title="Permanent link">&para;</a></h2>
+<h2 id="412">4.1.2 &nbsp; 数组的优点与局限性<a class="headerlink" href="#412" title="Permanent link">&para;</a></h2>
 <p>数组存储在连续的内存空间内，且元素类型相同。这种做法包含丰富的先验信息，系统可以利用这些信息来优化数据结构的操作效率。</p>
 <ul>
-<li><strong>空间效率高</strong>: 数组为数据分配了连续的内存块，无须额外的结构开销。</li>
-<li><strong>支持随机访问</strong>: 数组允许在 <span class="arithmatex">\(O(1)\)</span> 时间内访问任何元素。</li>
-<li><strong>缓存局部性</strong>: 当访问数组元素时，计算机不仅会加载它，还会缓存其周围的其他数据，从而借助高速缓存来提升后续操作的执行速度。</li>
+<li><strong>空间效率高</strong>：数组为数据分配了连续的内存块，无须额外的结构开销。</li>
+<li><strong>支持随机访问</strong>：数组允许在 <span class="arithmatex">\(O(1)\)</span> 时间内访问任何元素。</li>
+<li><strong>缓存局部性</strong>：当访问数组元素时，计算机不仅会加载它，还会缓存其周围的其他数据，从而借助高速缓存来提升后续操作的执行速度。</li>
 </ul>
-<p>连续空间存储是一把双刃剑，其存在以下缺点。</p>
+<p>连续空间存储是一把双刃剑，其存在以下局限性。</p>
 <ul>
-<li><strong>插入与删除效率低</strong>:当数组中元素较多时，插入与删除操作需要移动大量的元素。</li>
-<li><strong>长度不可变</strong>: 数组在初始化后长度就固定了，扩容数组需要将所有数据复制到新数组，开销很大。</li>
-<li><strong>空间浪费</strong>: 如果数组分配的大小超过了实际所需，那么多余的空间就被浪费了。</li>
+<li><strong>插入与删除效率低</strong>：当数组中元素较多时，插入与删除操作需要移动大量的元素。</li>
+<li><strong>长度不可变</strong>：数组在初始化后长度就固定了，扩容数组需要将所有数据复制到新数组，开销很大。</li>
+<li><strong>空间浪费</strong>：如果数组分配的大小超过实际所需，那么多余的空间就被浪费了。</li>
 </ul>
 <h2 id="413">4.1.3 &nbsp; 数组典型应用<a class="headerlink" href="#413" title="Permanent link">&para;</a></h2>
 <p>数组是一种基础且常见的数据结构，既频繁应用在各类算法之中，也可用于实现各种复杂数据结构。</p>
 <ul>
-<li><strong>随机访问</strong>：如果我们想要随机抽取一些样本，那么可以用数组存储，并生成一个随机序列，根据索引实现样本的随机抽取。</li>
+<li><strong>随机访问</strong>：如果我们想随机抽取一些样本，那么可以用数组存储，并生成一个随机序列，根据索引实现随机抽样。</li>
 <li><strong>排序和搜索</strong>：数组是排序和搜索算法最常用的数据结构。快速排序、归并排序、二分查找等都主要在数组上进行。</li>
-<li><strong>查找表</strong>：当我们需要快速查找一个元素或者需要查找一个元素的对应关系时，可以使用数组作为查找表。假如我们想要实现字符到 ASCII 码的映射，则可以将字符的 ASCII 码值作为索引，对应的元素存放在数组中的对应位置。</li>
+<li><strong>查找表</strong>：当需要快速查找一个元素或其对应关系时，可以使用数组作为查找表。假如我们想实现字符到 ASCII 码的映射，则可以将字符的 ASCII 码值作为索引，对应的元素存放在数组中的对应位置。</li>
 <li><strong>机器学习</strong>：神经网络中大量使用了向量、矩阵、张量之间的线性代数运算，这些数据都是以数组的形式构建的。数组是神经网络编程中最常使用的数据结构。</li>
 <li><strong>数据结构实现</strong>：数组可以用于实现栈、队列、哈希表、堆、图等数据结构。例如，图的邻接矩阵表示实际上是一个二维数组。</li>
 </ul>