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<ul class="md-nav__list" data-md-component="toc" data-md-scrollfix>
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<li class="md-nav__item">
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<a href="#11111-q-a" class="md-nav__link">
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11.11.1 Q & A
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<a href="#1" class="md-nav__link">
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1. 重点回顾
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</a>
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<li class="md-nav__item">
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<a href="#2-q-a" class="md-nav__link">
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2. Q & A
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<ul class="md-nav__list" data-md-component="toc" data-md-scrollfix>
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<li class="md-nav__item">
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<a href="#11111-q-a" class="md-nav__link">
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11.11.1 Q & A
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<a href="#1" class="md-nav__link">
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1. 重点回顾
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</a>
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</li>
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<li class="md-nav__item">
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<a href="#2-q-a" class="md-nav__link">
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2. Q & A
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<h1 id="1111">11.11 小结<a class="headerlink" href="#1111" title="Permanent link">¶</a></h1>
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<h3 id="1">1. 重点回顾<a class="headerlink" href="#1" title="Permanent link">¶</a></h3>
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<ul>
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<li>冒泡排序通过交换相邻元素来实现排序。通过添加一个标志位来实现提前返回,我们可以将冒泡排序的最佳时间复杂度优化到 <span class="arithmatex">\(O(n)\)</span> 。</li>
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<li>插入排序每轮将未排序区间内的元素插入到已排序区间的正确位置,从而完成排序。虽然插入排序的时间复杂度为 <span class="arithmatex">\(O(n^2)\)</span> ,但由于单元操作相对较少,它在小数据量的排序任务中非常受欢迎。</li>
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<p><img alt="排序算法对比" src="../summary.assets/sorting_algorithms_comparison.png" /></p>
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<p align="center"> 图 11-19 排序算法对比 </p>
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<h2 id="11111-q-a">11.11.1 Q & A<a class="headerlink" href="#11111-q-a" title="Permanent link">¶</a></h2>
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<h3 id="2-q-a">2. Q & A<a class="headerlink" href="#2-q-a" title="Permanent link">¶</a></h3>
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<div class="admonition question">
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<p class="admonition-title">排序算法稳定性在什么情况下是必须的?</p>
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<p>在现实中,我们有可能是在对象的某个属性上进行排序。例如,学生有姓名和身高两个属性,我们希望实现一个多级排序/</p>
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