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4.4   内存与缓存 *
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<h2 id="1152">11.5.2 &nbsp; 算法特性<a class="headerlink" href="#1152" title="Permanent link">&para;</a></h2>
<ul>
<li><strong>时间复杂度为 <span class="arithmatex">\(O(n \log n)\)</span>、自适应排序</strong>:在平均情况下,哨兵划分的递归层数为 <span class="arithmatex">\(\log n\)</span> ,每层中的总循环数为 <span class="arithmatex">\(n\)</span> ,总体使用 <span class="arithmatex">\(O(n \log n)\)</span> 时间。在最差情况下,每轮哨兵划分操作都将长度为 <span class="arithmatex">\(n\)</span> 的数组划分为长度为 <span class="arithmatex">\(0\)</span><span class="arithmatex">\(n - 1\)</span> 的两个子数组,此时递归层数达到 <span class="arithmatex">\(n\)</span> ,每层中的循环数为 <span class="arithmatex">\(n\)</span> ,总体使用 <span class="arithmatex">\(O(n^2)\)</span> 时间。</li>
<li><strong>时间复杂度为 <span class="arithmatex">\(O(n \log n)\)</span>自适应排序</strong>:在平均情况下,哨兵划分的递归层数为 <span class="arithmatex">\(\log n\)</span> ,每层中的总循环数为 <span class="arithmatex">\(n\)</span> ,总体使用 <span class="arithmatex">\(O(n \log n)\)</span> 时间。在最差情况下,每轮哨兵划分操作都将长度为 <span class="arithmatex">\(n\)</span> 的数组划分为长度为 <span class="arithmatex">\(0\)</span><span class="arithmatex">\(n - 1\)</span> 的两个子数组,此时递归层数达到 <span class="arithmatex">\(n\)</span> ,每层中的循环数为 <span class="arithmatex">\(n\)</span> ,总体使用 <span class="arithmatex">\(O(n^2)\)</span> 时间。</li>
<li><strong>空间复杂度为 <span class="arithmatex">\(O(n)\)</span>、原地排序</strong>:在输入数组完全倒序的情况下,达到最差递归深度 <span class="arithmatex">\(n\)</span> ,使用 <span class="arithmatex">\(O(n)\)</span> 栈帧空间。排序操作是在原数组上进行的,未借助额外数组。</li>
<li><strong>非稳定排序</strong>:在哨兵划分的最后一步,基准数可能会被交换至相等元素的右侧。</li>
</ul>