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@@ -3309,16 +3309,17 @@
<h1 id="32">3.2. &nbsp; 基本数据类型<a class="headerlink" href="#32" title="Permanent link">&para;</a></h1>
<p>谈及计算机中的数据我们会想到文本、图片、视频、语音、3D 模型等各种形式。尽管这些数据的组织形式各异,但它们都由各种基本数据类型构成。</p>
<p><strong>基本数据类型是 CPU 可以直接进行运算的类型,在算法中直接被使用</strong>。它包括:</p>
<p><strong>基本数据类型是 CPU 可以直接进行运算的类型</strong>,在算法中直接被使用。它包括:</p>
<ul>
<li>整数类型 <code>byte</code> , <code>short</code> , <code>int</code> , <code>long</code></li>
<li>浮点数类型 <code>float</code> , <code>double</code> ,用于表示小数。</li>
<li>字符类型 <code>char</code> ,用于表示各种语言的字母、标点符号、甚至表情符号等。</li>
<li>布尔类型 <code>bool</code> ,用于表示“是”与“否”判断。</li>
</ul>
<p><strong>所有基本数据类型以二进制的形式存储在计算机中</strong>在计算机中,我们将 <span class="arithmatex">\(1\)</span> 个二进制位<span class="arithmatex">\(1\)</span> 比特,并规定 <span class="arithmatex">\(1\)</span> 字节byte<span class="arithmatex">\(8\)</span> 比特bits组成。基本数据类型的取值范围取决于其占用的空间大小,例如:</p>
<p><strong>基本数据类型以二进制的形式存储在计算机中</strong>个二进制位<span class="arithmatex">\(1\)</span> 比特。在绝大多数现代系统中<span class="arithmatex">\(1\)</span> 字节byte<span class="arithmatex">\(8\)</span> 比特bits组成。</p>
<p>基本数据类型的取值范围取决于其占用的空间大小,例如 Java 规定:</p>
<ul>
<li>整数类型 <code>byte</code> 占用 <span class="arithmatex">\(1\)</span> byte = <span class="arithmatex">\(8\)</span> bits ,可以表示 <span class="arithmatex">\(2^{8}\)</span>不同的数字。</li>
<li>整数类型 <code>byte</code> 占用 <span class="arithmatex">\(1\)</span> byte = <span class="arithmatex">\(8\)</span> bits ,可以表示 <span class="arithmatex">\(2^{8}\)</span> 个数字。</li>
<li>整数类型 <code>int</code> 占用 <span class="arithmatex">\(4\)</span> bytes = <span class="arithmatex">\(32\)</span> bits ,可以表示 <span class="arithmatex">\(2^{32}\)</span> 个数字。</li>
</ul>
<p>下表列举了各种基本数据类型的占用空间、取值范围和默认值。此表格无需硬背,大致理解即可,需要时可以通过查表来回忆。</p>
@@ -3402,13 +3403,15 @@
</tbody>
</table>
</div>
<div class="admonition tip">
<p class="admonition-title">Tip</p>
<p>字符的占用空间大小取决于编程语言采用的字符编码方法,详见「字符编码」章节</p>
<p>现代计算机 CPU 通常将 1 字节作为最小寻址内存单元。因此,即使表示布尔量仅需 1 位(<span class="arithmatex">\(0\)</span><span class="arithmatex">\(1\)</span>),它在内存中通常被存储为 1 字节。</p>
</div>
<p>那么,基本数据类型与数据结构之间有什么联系与区别呢?我们知道,数据结构是在计算机中组织与存储数据的方式。它的主语是“结构”,而非“数据”。如果想要表示“一排数字”,我们自然会想到使用数组。这是因为数组的线性结构可以表示数字的相邻关系和顺序关系,但至于存储的内容是整数 <code>int</code> 、小数 <code>float</code> 、还是字符 <code>char</code> ,则与“数据结构”无关。</p>
<p>换句话说,<strong>基本数据类型提供了数据的“内容类型”,而数据结构提供了数据的“组织方式”</strong>。如以下代码所示,我们可以使用不同基本数据类型来初始化数组</p>
<p>对于上表,需要注意以下几点:</p>
<ul>
<li>C, C++ 未明确规定基本数据类型大小,而因实现和平台各异。上表遵循 LP64 <a href="https://en.cppreference.com/w/cpp/language/types#Properties">数据模型</a>,其用于 Unix 64 位操作系统(例如 Linux , macOS</li>
<li>字符 <code>char</code> 的大小在 C, C++ 中为 1 字节,在大多数编程语言中取决于特定的字符编码方法,详见「字符编码」章节。</li>
<li>现代计算机 CPU 通常将 1 字节作为最小寻址内存单元。因此即使表示布尔量仅需 1 位(<span class="arithmatex">\(0\)</span><span class="arithmatex">\(1\)</span>),它在内存中通常被存储为 1 字节。</li>
</ul>
<p>那么,基本数据类型与数据结构之间有什么联系呢?我们知道,数据结构是在计算机中组织与存储数据的方式。它的主语是“结构”,而非“数据”</p>
<p>如果想要表示“一排数字”,我们自然会想到使用数组。这是因为数组的线性结构可以表示数字的相邻关系和顺序关系,但至于存储的内容是整数 <code>int</code> 、小数 <code>float</code> 、还是字符 <code>char</code> ,则与“数据结构”无关。</p>
<p>换句话说,<strong>基本数据类型提供了数据的“内容类型”,而数据结构提供了数据的“组织方式”</strong>。例如在以下代码中,我们用相同的数据结构(数组)来记录与表示不同的基本数据类型(<code>int</code> , <code>float</code> , <code>chat</code>, <code>bool</code>)。</p>
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@@ -3416,7 +3419,7 @@
<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="n">numbers</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">int</span><span class="o">[</span><span class="mi">5</span><span class="o">]</span><span class="p">;</span>
<a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a><span class="kt">float</span><span class="o">[]</span><span class="w"> </span><span class="n">decimals</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">float</span><span class="o">[</span><span class="mi">5</span><span class="o">]</span><span class="p">;</span>
<a id="__codelineno-0-4" name="__codelineno-0-4" href="#__codelineno-0-4"></a><span class="kt">char</span><span class="o">[]</span><span class="w"> </span><span class="n">characters</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">char</span><span class="o">[</span><span class="mi">5</span><span class="o">]</span><span class="p">;</span>
<a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a><span class="kt">boolean</span><span class="o">[]</span><span class="w"> </span><span class="n">booleans</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">boolean</span><span class="o">[</span><span class="mi">5</span><span class="o">]</span><span class="p">;</span>
<a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a><span class="kt">boolean</span><span class="o">[]</span><span class="w"> </span><span class="n">bools</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">boolean</span><span class="o">[</span><span class="mi">5</span><span class="o">]</span><span class="p">;</span>
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@@ -3424,12 +3427,18 @@
<a id="__codelineno-1-2" name="__codelineno-1-2" href="#__codelineno-1-2"></a><span class="kt">int</span><span class="w"> </span><span class="n">numbers</span><span class="p">[</span><span class="mi">5</span><span class="p">];</span>
<a id="__codelineno-1-3" name="__codelineno-1-3" href="#__codelineno-1-3"></a><span class="kt">float</span><span class="w"> </span><span class="n">decimals</span><span class="p">[</span><span class="mi">5</span><span class="p">];</span>
<a id="__codelineno-1-4" name="__codelineno-1-4" href="#__codelineno-1-4"></a><span class="kt">char</span><span class="w"> </span><span class="n">characters</span><span class="p">[</span><span class="mi">5</span><span class="p">];</span>
<a id="__codelineno-1-5" name="__codelineno-1-5" href="#__codelineno-1-5"></a><span class="kt">bool</span><span class="w"> </span><span class="n">booleans</span><span class="p">[</span><span class="mi">5</span><span class="p">];</span>
<a id="__codelineno-1-5" name="__codelineno-1-5" href="#__codelineno-1-5"></a><span class="kt">bool</span><span class="w"> </span><span class="n">bools</span><span class="p">[</span><span class="mi">5</span><span class="p">];</span>
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<div class="tabbed-block">
<div class="highlight"><pre><span></span><code><a id="__codelineno-2-1" name="__codelineno-2-1" href="#__codelineno-2-1"></a><span class="c1"># Python 的 list 可以自由存储各种基本数据类型和对象</span>
<a id="__codelineno-2-2" name="__codelineno-2-2" href="#__codelineno-2-2"></a><span class="nb">list</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="s1">&#39;a&#39;</span><span class="p">,</span> <span class="kc">False</span><span class="p">]</span>
<div class="highlight"><pre><span></span><code><a id="__codelineno-2-1" name="__codelineno-2-1" href="#__codelineno-2-1"></a><span class="c1"># 使用多种基本数据类型来初始化数组</span>
<a id="__codelineno-2-2" name="__codelineno-2-2" href="#__codelineno-2-2"></a><span class="n">numbers</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="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">*</span> <span class="mi">5</span>
<a id="__codelineno-2-3" name="__codelineno-2-3" href="#__codelineno-2-3"></a><span class="n">decimals</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">float</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="mf">0.0</span><span class="p">]</span> <span class="o">*</span> <span class="mi">5</span>
<a id="__codelineno-2-4" name="__codelineno-2-4" href="#__codelineno-2-4"></a><span class="c1"># Python 的字符应被看作长度为一的字符串</span>
<a id="__codelineno-2-5" name="__codelineno-2-5" href="#__codelineno-2-5"></a><span class="n">characters</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">str</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="s1">&#39;0&#39;</span><span class="p">]</span> <span class="o">*</span> <span class="mi">5</span>
<a id="__codelineno-2-6" name="__codelineno-2-6" href="#__codelineno-2-6"></a><span class="n">bools</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">bool</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="kc">False</span><span class="p">]</span> <span class="o">*</span> <span class="mi">5</span>
<a id="__codelineno-2-7" name="__codelineno-2-7" href="#__codelineno-2-7"></a><span class="c1"># Python 的列表可以自由存储各种基本数据类型和对象引用</span>
<a id="__codelineno-2-8" name="__codelineno-2-8" href="#__codelineno-2-8"></a><span class="n">data</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="s1">&#39;a&#39;</span><span class="p">,</span> <span class="kc">False</span><span class="p">,</span> <span class="n">ListNode</span><span class="p">(</span><span class="mi">0</span><span class="p">)]</span>
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@@ -3437,7 +3446,7 @@
<a id="__codelineno-3-2" name="__codelineno-3-2" href="#__codelineno-3-2"></a><span class="kd">var</span><span class="w"> </span><span class="nx">numbers</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="kt">int</span><span class="p">{}</span>
<a id="__codelineno-3-3" name="__codelineno-3-3" href="#__codelineno-3-3"></a><span class="kd">var</span><span class="w"> </span><span class="nx">decimals</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="kt">float64</span><span class="p">{}</span>
<a id="__codelineno-3-4" name="__codelineno-3-4" href="#__codelineno-3-4"></a><span class="kd">var</span><span class="w"> </span><span class="nx">characters</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="kt">byte</span><span class="p">{}</span>
<a id="__codelineno-3-5" name="__codelineno-3-5" href="#__codelineno-3-5"></a><span class="kd">var</span><span class="w"> </span><span class="nx">booleans</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="kt">bool</span><span class="p">{}</span>
<a id="__codelineno-3-5" name="__codelineno-3-5" href="#__codelineno-3-5"></a><span class="kd">var</span><span class="w"> </span><span class="nx">bools</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">[</span><span class="mi">5</span><span class="p">]</span><span class="kt">bool</span><span class="p">{}</span>
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@@ -3449,7 +3458,7 @@
<div class="highlight"><pre><span></span><code><a id="__codelineno-5-1" name="__codelineno-5-1" href="#__codelineno-5-1"></a><span class="c1">// 使用多种基本数据类型来初始化数组</span>
<a id="__codelineno-5-2" name="__codelineno-5-2" href="#__codelineno-5-2"></a><span class="kd">const</span><span class="w"> </span><span class="nx">numbers</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
<a id="__codelineno-5-3" name="__codelineno-5-3" href="#__codelineno-5-3"></a><span class="kd">const</span><span class="w"> </span><span class="nx">characters</span><span class="o">:</span><span class="w"> </span><span class="kt">string</span><span class="p">[]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
<a id="__codelineno-5-4" name="__codelineno-5-4" href="#__codelineno-5-4"></a><span class="kd">const</span><span class="w"> </span><span class="nx">booleans</span><span class="o">:</span><span class="w"> </span><span class="kt">boolean</span><span class="p">[]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
<a id="__codelineno-5-4" name="__codelineno-5-4" href="#__codelineno-5-4"></a><span class="kd">const</span><span class="w"> </span><span class="nx">bools</span><span class="o">:</span><span class="w"> </span><span class="kt">boolean</span><span class="p">[]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
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@@ -3457,7 +3466,7 @@
<a id="__codelineno-6-2" name="__codelineno-6-2" href="#__codelineno-6-2"></a><span class="kt">int</span><span class="w"> </span><span class="n">numbers</span><span class="p">[</span><span class="mi">10</span><span class="p">];</span>
<a id="__codelineno-6-3" name="__codelineno-6-3" href="#__codelineno-6-3"></a><span class="kt">float</span><span class="w"> </span><span class="n">decimals</span><span class="p">[</span><span class="mi">10</span><span class="p">];</span>
<a id="__codelineno-6-4" name="__codelineno-6-4" href="#__codelineno-6-4"></a><span class="kt">char</span><span class="w"> </span><span class="n">characters</span><span class="p">[</span><span class="mi">10</span><span class="p">];</span>
<a id="__codelineno-6-5" name="__codelineno-6-5" href="#__codelineno-6-5"></a><span class="kt">bool</span><span class="w"> </span><span class="n">booleans</span><span class="p">[</span><span class="mi">10</span><span class="p">];</span>
<a id="__codelineno-6-5" name="__codelineno-6-5" href="#__codelineno-6-5"></a><span class="kt">bool</span><span class="w"> </span><span class="n">bools</span><span class="p">[</span><span class="mi">10</span><span class="p">];</span>
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@@ -3465,7 +3474,7 @@
<a id="__codelineno-7-2" name="__codelineno-7-2" href="#__codelineno-7-2"></a><span class="kt">int</span><span class="p">[]</span><span class="w"> </span><span class="n">numbers</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">int</span><span class="p">[</span><span class="m">5</span><span class="p">];</span>
<a id="__codelineno-7-3" name="__codelineno-7-3" href="#__codelineno-7-3"></a><span class="kt">float</span><span class="p">[]</span><span class="w"> </span><span class="n">decimals</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">float</span><span class="p">[</span><span class="m">5</span><span class="p">];</span>
<a id="__codelineno-7-4" name="__codelineno-7-4" href="#__codelineno-7-4"></a><span class="kt">char</span><span class="p">[]</span><span class="w"> </span><span class="n">characters</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">char</span><span class="p">[</span><span class="m">5</span><span class="p">];</span>
<a id="__codelineno-7-5" name="__codelineno-7-5" href="#__codelineno-7-5"></a><span class="kt">bool</span><span class="p">[]</span><span class="w"> </span><span class="n">booleans</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">bool</span><span class="p">[</span><span class="m">5</span><span class="p">];</span>
<a id="__codelineno-7-5" name="__codelineno-7-5" href="#__codelineno-7-5"></a><span class="kt">bool</span><span class="p">[]</span><span class="w"> </span><span class="n">bools</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="kt">bool</span><span class="p">[</span><span class="m">5</span><span class="p">];</span>
</code></pre></div>
</div>
<div class="tabbed-block">
@@ -3473,7 +3482,7 @@
<a id="__codelineno-8-2" name="__codelineno-8-2" href="#__codelineno-8-2"></a><span class="kd">let</span> <span class="nv">numbers</span> <span class="p">=</span> <span class="nb">Array</span><span class="p">(</span><span class="n">repeating</span><span class="p">:</span> <span class="nb">Int</span><span class="p">(),</span> <span class="bp">count</span><span class="p">:</span> <span class="mi">5</span><span class="p">)</span>
<a id="__codelineno-8-3" name="__codelineno-8-3" href="#__codelineno-8-3"></a><span class="kd">let</span> <span class="nv">decimals</span> <span class="p">=</span> <span class="nb">Array</span><span class="p">(</span><span class="n">repeating</span><span class="p">:</span> <span class="nb">Double</span><span class="p">(),</span> <span class="bp">count</span><span class="p">:</span> <span class="mi">5</span><span class="p">)</span>
<a id="__codelineno-8-4" name="__codelineno-8-4" href="#__codelineno-8-4"></a><span class="kd">let</span> <span class="nv">characters</span> <span class="p">=</span> <span class="nb">Array</span><span class="p">(</span><span class="n">repeating</span><span class="p">:</span> <span class="nb">Character</span><span class="p">(</span><span class="s">&quot;a&quot;</span><span class="p">),</span> <span class="bp">count</span><span class="p">:</span> <span class="mi">5</span><span class="p">)</span>
<a id="__codelineno-8-5" name="__codelineno-8-5" href="#__codelineno-8-5"></a><span class="kd">let</span> <span class="nv">booleans</span> <span class="p">=</span> <span class="nb">Array</span><span class="p">(</span><span class="n">repeating</span><span class="p">:</span> <span class="nb">Bool</span><span class="p">(),</span> <span class="bp">count</span><span class="p">:</span> <span class="mi">5</span><span class="p">)</span>
<a id="__codelineno-8-5" name="__codelineno-8-5" href="#__codelineno-8-5"></a><span class="kd">let</span> <span class="nv">bools</span> <span class="p">=</span> <span class="nb">Array</span><span class="p">(</span><span class="n">repeating</span><span class="p">:</span> <span class="nb">Bool</span><span class="p">(),</span> <span class="bp">count</span><span class="p">:</span> <span class="mi">5</span><span class="p">)</span>
</code></pre></div>
</div>
<div class="tabbed-block">
@@ -3485,7 +3494,7 @@
<a id="__codelineno-10-2" name="__codelineno-10-2" href="#__codelineno-10-2"></a><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">numbers</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">List</span><span class="p">.</span><span class="n">filled</span><span class="p">(</span><span class="m">5</span><span class="p">,</span><span class="w"> </span><span class="m">0</span><span class="p">);</span>
<a id="__codelineno-10-3" name="__codelineno-10-3" href="#__codelineno-10-3"></a><span class="n">List</span><span class="o">&lt;</span><span class="kt">double</span><span class="o">&gt;</span><span class="w"> </span><span class="n">decimals</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">List</span><span class="p">.</span><span class="n">filled</span><span class="p">(</span><span class="m">5</span><span class="p">,</span><span class="w"> </span><span class="m">0.0</span><span class="p">);</span>
<a id="__codelineno-10-4" name="__codelineno-10-4" href="#__codelineno-10-4"></a><span class="n">List</span><span class="o">&lt;</span><span class="kt">String</span><span class="o">&gt;</span><span class="w"> </span><span class="n">characters</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">List</span><span class="p">.</span><span class="n">filled</span><span class="p">(</span><span class="m">5</span><span class="p">,</span><span class="w"> </span><span class="s1">&#39;a&#39;</span><span class="p">);</span>
<a id="__codelineno-10-5" name="__codelineno-10-5" href="#__codelineno-10-5"></a><span class="n">List</span><span class="o">&lt;</span><span class="kt">bool</span><span class="o">&gt;</span><span class="w"> </span><span class="n">booleans</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">List</span><span class="p">.</span><span class="n">filled</span><span class="p">(</span><span class="m">5</span><span class="p">,</span><span class="w"> </span><span class="kc">false</span><span class="p">);</span>
<a id="__codelineno-10-5" name="__codelineno-10-5" href="#__codelineno-10-5"></a><span class="n">List</span><span class="o">&lt;</span><span class="kt">bool</span><span class="o">&gt;</span><span class="w"> </span><span class="n">bools</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">List</span><span class="p">.</span><span class="n">filled</span><span class="p">(</span><span class="m">5</span><span class="p">,</span><span class="w"> </span><span class="kc">false</span><span class="p">);</span>
</code></pre></div>
</div>
<div class="tabbed-block">