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常见时间复杂度
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Python内置类型性能分析
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<b>1.8.</b>
数据结构
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顺序表
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<b>2.1.</b>
顺序表的形式
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<b>2.2.</b>
顺序表的结构与实现
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<b>2.3.</b>
顺序表的操作
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<b>2.4.</b>
Python中的顺序表
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链表
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<b>3.1.</b>
单向链表
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<b>3.2.</b>
单项循环链表
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<b>3.3.</b>
双向链表
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栈
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<b>4.1.</b>
栈结构实现
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<b>5.</b>
队列
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<b>5.1.</b>
队列的实现
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<b>5.2.</b>
双端队列
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<b>6.</b>
排序与搜索
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<b>6.1.</b>
冒泡排序
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<b>6.2.</b>
选择排序
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<b>6.3.</b>
插入排序
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<b>6.4.</b>
快速排序
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<b>6.5.</b>
希尔排序
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<b>6.6.</b>
归并排序
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<b>6.7.</b>
常见排序算法效率比较
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<b>6.8.</b>
搜索
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<b>7.</b>
树与树算法
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<b>7.1.</b>
二叉树
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二叉树的遍历
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<h1 id="插入排序">插入排序</h1>
<p>插入排序（英语：Insertion Sort）是一种简单直观的排序算法。它的工作原理是通过构建有序序列，对于未排序数据，在已排序序列中从后向前扫描，找到相应位置并插入。插入排序在实现上，在从后向前扫描过程中，需要反复把已排序元素逐步向后挪位，为最新元素提供插入空间。</p>
<h2 id="插入排序分析">插入排序分析</h2>
<p><img src="../images/insert.png" alt="insert"></p>
<p><img src="../images/Insertion-sort-example.gif" alt="insert"></p>
<pre><code class="lang-python"><span class="hljs-function"><span class="hljs-keyword">def</span> <span class="hljs-title">insert_sort</span><span class="hljs-params">(alist)</span>:</span>
<span class="hljs-comment"># 从第二个位置，即下标为1的元素开始向前插入</span>
<span class="hljs-keyword">for</span> i <span class="hljs-keyword">in</span> range(<span class="hljs-number">1</span>, len(alist)):
<span class="hljs-comment"># 从第i个元素开始向前比较，如果小于前一个元素，交换位置</span>
<span class="hljs-keyword">for</span> j <span class="hljs-keyword">in</span> range(i, <span class="hljs-number">0</span>, -<span class="hljs-number">1</span>):
<span class="hljs-keyword">if</span> alist[j] < alist[j-<span class="hljs-number">1</span>]:
alist[j], alist[j-<span class="hljs-number">1</span>] = alist[j-<span class="hljs-number">1</span>], alist[j]
alist = [<span class="hljs-number">54</span>,<span class="hljs-number">26</span>,<span class="hljs-number">93</span>,<span class="hljs-number">17</span>,<span class="hljs-number">77</span>,<span class="hljs-number">31</span>,<span class="hljs-number">44</span>,<span class="hljs-number">55</span>,<span class="hljs-number">20</span>]
insert_sort(alist)
print(alist)
</code></pre>
<h2 id="时间复杂度">时间复杂度</h2>
<ul>
<li>最优时间复杂度：O(n) （升序排列，序列已经处于升序状态）</li>
<li>最坏时间复杂度：O(n<sup>2</sup>)</li>
<li>稳定性：稳定</li>
</ul>
<h2 id="插入排序演示">插入排序演示</h2>
<p><img src="../images/insert.gif" alt="insert"></p>
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