algorithm/hello-algo
1
0
Fork 0
mirror of https://github.com/krahets/hello-algo.git synced 2025-07-18 11:00:27 +08:00
Code Issues Packages Projects Releases Wiki Activity

deploy

Browse Source
This commit is contained in:
krahets
2023-08-21 03:56:52 +08:00
parent 47b7d6fd44
commit c0f960b443
105 changed files with 506 additions and 502 deletions
Download Patch File Download Diff File Expand all files Collapse all files

10
chapter_sorting/insertion_sort/index.html
View File

@ -545,7 +545,7 @@
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M6 2h12v6l-4 4 4 4v6H6v-6l4-4-4-4V2m10 14.5-4-4-4 4V20h8v-3.5m-4-5 4-4V4H8v3.5l4 4M10 6h4v.75l-2 2-2-2V6Z"/></svg>
<span class="md-ellipsis">
第 2 章 &nbsp; 复杂度
第 2 章 &nbsp; 时空复杂度
</span>
@ -560,7 +560,7 @@
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_3_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_3">
<span class="md-nav__icon md-icon"></span>
第 2 章 &nbsp; 复杂度
第 2 章 &nbsp; 时空复杂度
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -1155,7 +1155,7 @@
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M19.3 17.89c1.32-2.1.7-4.89-1.41-6.21a4.52 4.52 0 0 0-6.21 1.41C10.36 15.2 11 18 13.09 19.3c1.47.92 3.33.92 4.8 0L21 22.39 22.39 21l-3.09-3.11m-2-.62c-.98.98-2.56.97-3.54 0-.97-.98-.97-2.56.01-3.54.97-.97 2.55-.97 3.53 0 .96.99.95 2.57-.03 3.54h.03M19 4H5a2 2 0 0 0-2 2v12a2 2 0 0 0 2 2h5.81a6.3 6.3 0 0 1-1.31-2H5v-4h4.18c.16-.71.43-1.39.82-2H5V8h6v2.81a6.3 6.3 0 0 1 2-1.31V8h6v2a6.499 6.499 0 0 1 2 2V6a2 2 0 0 0-2-2Z"/></svg>
<span class="md-ellipsis">
第 6 章 &nbsp; 散列表
第 6 章 &nbsp; 哈希表
</span>
@ -1170,7 +1170,7 @@
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_7_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_7">
<span class="md-nav__icon md-icon"></span>
第 6 章 &nbsp; 散列表
第 6 章 &nbsp; 哈希表
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -3646,7 +3646,7 @@
</div>
<h2 id="1142">11.4.2 &nbsp; 算法特性<a class="headerlink" href="#1142" title="Permanent link">&para;</a></h2>
<ul>
<li><strong>时间复杂度 <span class="arithmatex">\(O(n^2)\)</span> 、自适应排序</strong> ：最差情况下，每次插入操作分别需要循环 <span class="arithmatex">\(n - 1\)</span> , <span class="arithmatex">\(n-2\)</span> , <span class="arithmatex">\(\cdots\)</span> , <span class="arithmatex">\(2\)</span> , <span class="arithmatex">\(1\)</span> 次，求和得到 <span class="arithmatex">\(\frac{(n - 1) n}{2}\)</span> ，因此时间复杂度为 <span class="arithmatex">\(O(n^2)\)</span> 。在遇到有序数据时，插入操作会提前终止。当输入数组完全有序时，插入排序达到最佳时间复杂度 <span class="arithmatex">\(O(n)\)</span> 。</li>
<li><strong>时间复杂度 <span class="arithmatex">\(O(n^2)\)</span> 、自适应排序</strong> ：最差情况下，每次插入操作分别需要循环 <span class="arithmatex">\(n - 1\)</span> , <span class="arithmatex">\(n-2\)</span> , <span class="arithmatex">\(\dots\)</span> , <span class="arithmatex">\(2\)</span> , <span class="arithmatex">\(1\)</span> 次，求和得到 <span class="arithmatex">\((n - 1) n / 2\)</span> ，因此时间复杂度为 <span class="arithmatex">\(O(n^2)\)</span> 。在遇到有序数据时，插入操作会提前终止。当输入数组完全有序时，插入排序达到最佳时间复杂度 <span class="arithmatex">\(O(n)\)</span> 。</li>
<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> , <span class="arithmatex">\(j\)</span> 使用常数大小的额外空间。</li>
<li><strong>稳定排序</strong>：在插入操作过程中，我们会将元素插入到相等元素的右侧，不会改变它们的顺序。</li>
</ul>