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<span class="md-ellipsis">
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8.3 Top-K 问题
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8.3 Top-k 问题
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</span>
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<h2 id="1121">11.2.1 算法特性<a class="headerlink" href="#1121" title="Permanent link">¶</a></h2>
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<ul>
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<li><strong>时间复杂度为 <span class="arithmatex">\(O(n^2)\)</span>、非自适应排序</strong>:外循环共 <span class="arithmatex">\(n - 1\)</span> 轮,第一轮的未排序区间长度为 <span class="arithmatex">\(n\)</span> ,最后一轮的未排序区间长度为 <span class="arithmatex">\(2\)</span> ,即各轮外循环分别包含 <span class="arithmatex">\(n\)</span>、<span class="arithmatex">\(n - 1\)</span>、<span class="arithmatex">\(\dots\)</span>、<span class="arithmatex">\(3\)</span>、<span class="arithmatex">\(2\)</span> 轮内循环,求和为 <span class="arithmatex">\(\frac{(n - 1)(n + 2)}{2}\)</span> 。</li>
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<li><strong>空间复杂度 <span class="arithmatex">\(O(1)\)</span>、原地排序</strong>:指针 <span class="arithmatex">\(i\)</span> 和 <span class="arithmatex">\(j\)</span> 使用常数大小的额外空间。</li>
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<li><strong>空间复杂度为 <span class="arithmatex">\(O(1)\)</span>、原地排序</strong>:指针 <span class="arithmatex">\(i\)</span> 和 <span class="arithmatex">\(j\)</span> 使用常数大小的额外空间。</li>
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<li><strong>非稳定排序</strong>:如图 11-3 所示,元素 <code>nums[i]</code> 有可能被交换至与其相等的元素的右边,导致两者的相对顺序发生改变。</li>
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</ul>
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<p><a class="glightbox" href="../selection_sort.assets/selection_sort_instability.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="选择排序非稳定示例" class="animation-figure" src="../selection_sort.assets/selection_sort_instability.png" /></a></p>
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