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krahets
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<h1 id="119">11.9 &nbsp; 计数排序<a class="headerlink" href="#119" title="Permanent link">&para;</a></h1>
<p>「计数排序 counting sort」通过统计元素数量来实现排序通常应用于整数数组。</p>
<h2 id="1191">11.9.1 &nbsp; 简单实现<a class="headerlink" href="#1191" title="Permanent link">&para;</a></h2>
@@ -4204,11 +4236,73 @@
<p><strong>计数排序只适用于非负整数</strong>。若想要将其用于其他类型的数据,需要确保这些数据可以被转换为非负整数,并且在转换过程中不能改变各个元素之间的相对大小关系。例如,对于包含负数的整数数组,可以先给所有数字加上一个常数,将全部数字转化为正数,排序完成后再转换回去即可。</p>
<p><strong>计数排序适用于数据量大但数据范围较小的情况</strong>。比如,在上述示例中 <span class="arithmatex">\(m\)</span> 不能太大,否则会占用过多空间。而当 <span class="arithmatex">\(n \ll m\)</span> 时,计数排序使用 <span class="arithmatex">\(O(m)\)</span> 时间,可能比 <span class="arithmatex">\(O(n \log n)\)</span> 的排序算法还要慢。</p>
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