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krahets
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<h1 id="1110">11.10 &nbsp; 基数排序<a class="headerlink" href="#1110" title="Permanent link">&para;</a></h1>
<p>上一节我们介绍了计数排序,它适用于数据量 <span class="arithmatex">\(n\)</span> 较大但数据范围 <span class="arithmatex">\(m\)</span> 较小的情况。假设我们需要对 <span class="arithmatex">\(n = 10^6\)</span> 个学号进行排序,而学号是一个 <span class="arithmatex">\(8\)</span> 位数字,这意味着数据范围 <span class="arithmatex">\(m = 10^8\)</span> 非常大,使用计数排序需要分配大量内存空间,而基数排序可以避免这种情况。</p>
<p>「基数排序 radix sort」的核心思想与计数排序一致,也通过统计个数来实现排序。在此基础上,基数排序利用数字各位之间的递进关系,依次对每一位进行排序,从而得到最终的排序结果。</p>
@@ -4106,11 +4138,73 @@ x_k = \lfloor\frac{x}{d^{k-1}}\rfloor \bmod d
<li><strong>稳定排序</strong>:与计数排序相同。</li>
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