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<a href="#算法基础知识" id="anchorNavigationExGoTop"><i class="fa fa-arrow-up"></i></a><h1 id="算法基础知识"><a name="算法基础知识" class="anchor-navigation-ex-anchor" href="#算法基础知识"><i class="fa fa-link" aria-hidden="true"></i></a>算法基础知识</h1>
<h2 id="big-o"><a name="big-o" class="anchor-navigation-ex-anchor" href="#big-o"><i class="fa fa-link" aria-hidden="true"></i></a>Big O</h2>
<p>时间：随着数据规模的增加，需要进行的时长变化规律</p>
<ul>
<li>不考虑必须要做的操作：循环、赋初值、程序初始化</li>
<li>不考虑常数项：2n -> n</li>
<li>不考虑低次项：n^2 + n -> n^2</li>
</ul>
<p>空间：随着数据规模增加，需要额外开辟的空间</p>
<ul>
<li>遍历使用的临时变量不计算</li>
</ul>
<h1 id="排序算法"><a name="排序算法" class="anchor-navigation-ex-anchor" href="#排序算法"><i class="fa fa-link" aria-hidden="true"></i></a>排序算法</h1>
<table>
<thead>
<tr>
<th>中文名称</th>
<th>英文名称</th>
<th>平均时间复杂度</th>
<th>最坏时间复杂度</th>
<th>最好时间复杂度</th>
<th>空间复杂度</th>
<th>稳定性</th>
</tr>
</thead>
<tbody>
<tr>
<td>选择排序</td>
<td>Selection</td>
<td>n^2</td>
<td>n^2</td>
<td>n^2</td>
<td>1</td>
<td>不稳定</td>
</tr>
<tr>
<td>冒泡排序</td>
<td>Bubble</td>
<td>n^2</td>
<td>n^2</td>
<td>n</td>
<td>1</td>
<td>稳定</td>
</tr>
<tr>
<td>插入排序</td>
<td>Insertion</td>
<td>n^2</td>
<td>n^2</td>
<td>n</td>
<td>1</td>
<td>稳定</td>
</tr>
<tr>
<td>快速排序</td>
<td>Quick</td>
<td>nlog(2, n)</td>
<td>n^2</td>
<td>nlog(2, n)</td>
<td>log(2, n)</td>
<td>不稳定</td>
</tr>
<tr>
<td>归并排序</td>
<td>Merge</td>
<td>nlog(2, n)</td>
<td>nlog(2, n)</td>
<td>nlog(2, n)</td>
<td>n</td>
<td>稳定</td>
</tr>
<tr>
<td>堆排序</td>
<td>Heap</td>
<td>nlog(2, n)</td>
<td>nlog(2, n)</td>
<td>nlog(2, n)</td>
<td>1</td>
<td>不稳定</td>
</tr>
<tr>
<td>希尔排序</td>
<td>Shell</td>
<td>n^1.3</td>
<td>n^2</td>
<td>n</td>
<td>1</td>
<td>不稳定</td>
</tr>
<tr>
<td>桶排序</td>
<td>Bucket</td>
<td>n + k</td>
<td>n^2</td>
<td>n</td>
<td>n + k</td>
<td>稳定</td>
</tr>
<tr>
<td>计数排序</td>
<td>Counting</td>
<td>n + k</td>
<td>n + k</td>
<td>n + k</td>
<td>n + k</td>
<td>稳定</td>
</tr>
<tr>
<td>基数排序</td>
<td>Radix</td>
<td>n * k</td>
<td>n * k</td>
<td>n * k</td>
<td>n + k</td>
<td>稳定</td>
</tr>
</tbody>
</table>
<blockquote>
<p>不稳定：相同的值经过排序后相对位置可能会发送变化</p>
</blockquote>
<p>口诀：选泡插，快归堆希桶计基，恩方老恩恩一三，对恩加k恩乘k，不稳稳稳不稳稳，不稳不稳稳稳稳。</p>
<h2 id="选择排序"><a name="选择排序" class="anchor-navigation-ex-anchor" href="#选择排序"><i class="fa fa-link" aria-hidden="true"></i></a>选择排序</h2>
<p>原理：从第一个数开始，往后遍历，找到最小的数，记录最小值的位置，将该值和第一个位置的值进行交换</p>
<p><img src="book_img/algorithm/selectionSort.gif" alt="选择排序"></p>
<p><a href="https://github.com/stolenzc/book/blob/gh-pages/code/python/selection_sort.py" target="_blank">python</a></p>
<p><a href="https://github.com/stolenzc/book/blob/gh-pages/code/go/selection_sort.go" target="_blank">go</a></p>
<h2 id="冒泡排序"><a name="冒泡排序" class="anchor-navigation-ex-anchor" href="#冒泡排序"><i class="fa fa-link" aria-hidden="true"></i></a>冒泡排序</h2>
<p>原理：从第一个数开始，往后遍历，如果遍历的数比后一个位置的数大，则俩数交换位置，使最大的数到之后位置</p>
<p>冒泡排序是从后往前遍历</p>
<p><img src="book_img/algorithm/bubbleSort.gif" alt="冒泡排序"></p>
<p><a href="https://github.com/stolenzc/book/blob/gh-pages/code/python/bubble_sort.py" target="_blank">python</a></p>
<p><a href="https://github.com/stolenzc/book/blob/gh-pages/code/go/bubble_sort.go" target="_blank">go</a></p>
<h2 id="插入排序"><a name="插入排序" class="anchor-navigation-ex-anchor" href="#插入排序"><i class="fa fa-link" aria-hidden="true"></i></a>插入排序</h2>
<p>原理：从第二个数开始，往前遍历，如果遍历的数比前一个位置的数小，则将该数与前一个数位置交换</p>
<p><img src="book_img/algorithm/insertionSort.gif" alt="插入排序"></p>
<p><a href="https://github.com/stolenzc/book/blob/gh-pages/code/python/insertion_sort.py" target="_blank">python</a></p>
<p><a href="https://github.com/stolenzc/book/blob/gh-pages/code/go/insertion_sort.go" target="_blank">go</a></p>
<h2 id="快速排序"><a name="快速排序" class="anchor-navigation-ex-anchor" href="#快速排序"><i class="fa fa-link" aria-hidden="true"></i></a>快速排序</h2>
<h2 id="归并排序"><a name="归并排序" class="anchor-navigation-ex-anchor" href="#归并排序"><i class="fa fa-link" aria-hidden="true"></i></a>归并排序</h2>
<h2 id="堆排序"><a name="堆排序" class="anchor-navigation-ex-anchor" href="#堆排序"><i class="fa fa-link" aria-hidden="true"></i></a>堆排序</h2>
<h2 id="希尔排序"><a name="希尔排序" class="anchor-navigation-ex-anchor" href="#希尔排序"><i class="fa fa-link" aria-hidden="true"></i></a>希尔排序</h2>
<p>原理：希尔排序是基于插入排序的一种排序方法，先将数组分成若干个子数组，每个子数组再进行插入排序</p>
<h2 id="桶排序"><a name="桶排序" class="anchor-navigation-ex-anchor" href="#桶排序"><i class="fa fa-link" aria-hidden="true"></i></a>桶排序</h2>
<h2 id="计数排序"><a name="计数排序" class="anchor-navigation-ex-anchor" href="#计数排序"><i class="fa fa-link" aria-hidden="true"></i></a>计数排序</h2>
<h2 id="基数排序"><a name="基数排序" class="anchor-navigation-ex-anchor" href="#基数排序"><i class="fa fa-link" aria-hidden="true"></i></a>基数排序</h2>
<h1 id="kmp算法"><a name="kmp算法" class="anchor-navigation-ex-anchor" href="#kmp算法"><i class="fa fa-link" aria-hidden="true"></i></a>KMP算法</h1>
<h1 id="动态规划"><a name="动态规划" class="anchor-navigation-ex-anchor" href="#动态规划"><i class="fa fa-link" aria-hidden="true"></i></a>动态规划</h1>
<h1 id="morris遍历"><a name="morris遍历" class="anchor-navigation-ex-anchor" href="#morris遍历"><i class="fa fa-link" aria-hidden="true"></i></a>Morris遍历</h1>
<h1 id="二叉树"><a name="二叉树" class="anchor-navigation-ex-anchor" href="#二叉树"><i class="fa fa-link" aria-hidden="true"></i></a>二叉树</h1>
<h1 id="链表"><a name="链表" class="anchor-navigation-ex-anchor" href="#链表"><i class="fa fa-link" aria-hidden="true"></i></a>链表</h1>
<h1 id="贪心算法"><a name="贪心算法" class="anchor-navigation-ex-anchor" href="#贪心算法"><i class="fa fa-link" aria-hidden="true"></i></a>贪心算法</h1>
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