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<title>11.2. 冒泡排序 - Hello 算法</title>
<title>冒泡排序 - Hello 算法</title>
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<div class="md-header__topic" data-md-component="header-topic">
<span class="md-ellipsis">
11.2. 冒泡排序
冒泡排序
</span>
</div>
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<label class="md-nav__link" for="__nav_1" id="__nav_1_label" tabindex="0">
0. 写在前面
写在前面
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_1_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_1">
<span class="md-nav__icon md-icon"></span>
0. 写在前面
写在前面
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -286,7 +286,7 @@
<li class="md-nav__item">
<a href="../../chapter_preface/about_the_book/" class="md-nav__link">
0.1. 关于本书
关于本书
</a>
</li>
@ -300,7 +300,7 @@
<li class="md-nav__item">
<a href="../../chapter_preface/suggestions/" class="md-nav__link">
0.2. 如何使用本书
如何使用本书
</a>
</li>
@ -314,7 +314,7 @@
<li class="md-nav__item">
<a href="../../chapter_preface/installation/" class="md-nav__link">
0.3. 编程环境安装
编程环境安装
</a>
</li>
@ -328,7 +328,7 @@
<li class="md-nav__item">
<a href="../../chapter_preface/contribution/" class="md-nav__link">
0.4. 一起参与创作
一起参与创作
</a>
</li>
@ -367,14 +367,14 @@
<label class="md-nav__link" for="__nav_2" id="__nav_2_label" tabindex="0">
1. 引言
引言
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_2_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_2">
<span class="md-nav__icon md-icon"></span>
1. 引言
引言
</label>
<ul class="md-nav__list" data-md-scrollfix>
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<li class="md-nav__item">
<a href="../../chapter_introduction/algorithms_are_everywhere/" class="md-nav__link">
1.1. 算法无处不在
算法无处不在
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_introduction/what_is_dsa/" class="md-nav__link">
1.2. 算法是什么
算法是什么
</a>
</li>
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<label class="md-nav__link" for="__nav_3" id="__nav_3_label" tabindex="0">
2. 计算复杂度
计算复杂度
<span class="md-nav__icon md-icon"></span>
</label>
<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>
2. 计算复杂度
计算复杂度
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -462,7 +462,7 @@
<li class="md-nav__item">
<a href="../../chapter_computational_complexity/performance_evaluation/" class="md-nav__link">
2.1. 算法效率评估
算法效率评估
</a>
</li>
@ -476,7 +476,7 @@
<li class="md-nav__item">
<a href="../../chapter_computational_complexity/time_complexity/" class="md-nav__link">
2.2. 时间复杂度
时间复杂度
</a>
</li>
@ -490,7 +490,7 @@
<li class="md-nav__item">
<a href="../../chapter_computational_complexity/space_complexity/" class="md-nav__link">
2.3. 空间复杂度
空间复杂度
</a>
</li>
@ -504,7 +504,7 @@
<li class="md-nav__item">
<a href="../../chapter_computational_complexity/space_time_tradeoff/" class="md-nav__link">
2.4. 权衡时间与空间
权衡时间与空间
</a>
</li>
@ -518,7 +518,7 @@
<li class="md-nav__item">
<a href="../../chapter_computational_complexity/summary/" class="md-nav__link">
2.5. 小结
小结
</a>
</li>
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<label class="md-nav__link" for="__nav_4" id="__nav_4_label" tabindex="0">
3. 数据结构简介
数据结构简介
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_4_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_4">
<span class="md-nav__icon md-icon"></span>
3. 数据结构简介
数据结构简介
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -577,7 +577,7 @@
<li class="md-nav__item">
<a href="../../chapter_data_structure/data_and_memory/" class="md-nav__link">
3.1. 数据与内存
数据与内存
</a>
</li>
@ -591,7 +591,7 @@
<li class="md-nav__item">
<a href="../../chapter_data_structure/classification_of_data_structure/" class="md-nav__link">
3.2. 数据结构分类
数据结构分类
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_data_structure/summary/" class="md-nav__link">
3.3. 小结
小结
</a>
</li>
@ -648,14 +648,14 @@
<label class="md-nav__link" for="__nav_5" id="__nav_5_label" tabindex="0">
4. 数组与链表
数组与链表
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_5_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_5">
<span class="md-nav__icon md-icon"></span>
4. 数组与链表
数组与链表
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -666,7 +666,7 @@
<li class="md-nav__item">
<a href="../../chapter_array_and_linkedlist/array/" class="md-nav__link">
4.1. 数组（Array）
数组（Array）
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_array_and_linkedlist/linked_list/" class="md-nav__link">
4.2. 链表（LinkedList）
链表（LinkedList）
</a>
</li>
@ -694,7 +694,7 @@
<li class="md-nav__item">
<a href="../../chapter_array_and_linkedlist/list/" class="md-nav__link">
4.3. 列表（List）
列表（List）
</a>
</li>
@ -708,7 +708,7 @@
<li class="md-nav__item">
<a href="../../chapter_array_and_linkedlist/summary/" class="md-nav__link">
4.4. 小结
小结
</a>
</li>
@ -751,14 +751,14 @@
<label class="md-nav__link" for="__nav_6" id="__nav_6_label" tabindex="0">
5. 栈与队列
栈与队列
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_6_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_6">
<span class="md-nav__icon md-icon"></span>
5. 栈与队列
栈与队列
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -769,7 +769,7 @@
<li class="md-nav__item">
<a href="../../chapter_stack_and_queue/stack/" class="md-nav__link">
5.1. 栈（Stack）
栈（Stack）
</a>
</li>
@ -783,7 +783,7 @@
<li class="md-nav__item">
<a href="../../chapter_stack_and_queue/queue/" class="md-nav__link">
5.2. 队列（Queue）
队列（Queue）
</a>
</li>
@ -797,7 +797,7 @@
<li class="md-nav__item">
<a href="../../chapter_stack_and_queue/deque/" class="md-nav__link">
5.3. 双向队列（Deque）
双向队列（Deque）
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_stack_and_queue/summary/" class="md-nav__link">
5.4. 小结
小结
</a>
</li>
@ -852,14 +852,14 @@
<label class="md-nav__link" for="__nav_7" id="__nav_7_label" tabindex="0">
6. 散列表
散列表
<span class="md-nav__icon md-icon"></span>
</label>
<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>
6. 散列表
散列表
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -870,7 +870,7 @@
<li class="md-nav__item">
<a href="../../chapter_hashing/hash_map/" class="md-nav__link">
6.1. 哈希表（HashMap）
哈希表（HashMap）
</a>
</li>
@ -884,7 +884,7 @@
<li class="md-nav__item">
<a href="../../chapter_hashing/hash_collision/" class="md-nav__link">
6.2. 哈希冲突处理
哈希冲突处理
</a>
</li>
@ -898,7 +898,7 @@
<li class="md-nav__item">
<a href="../../chapter_hashing/summary/" class="md-nav__link">
6.3. 小结
小结
</a>
</li>
@ -943,14 +943,14 @@
<label class="md-nav__link" for="__nav_8" id="__nav_8_label" tabindex="0">
7. 二叉树
二叉树
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_8_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_8">
<span class="md-nav__icon md-icon"></span>
7. 二叉树
二叉树
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -961,7 +961,7 @@
<li class="md-nav__item">
<a href="../../chapter_tree/binary_tree/" class="md-nav__link">
7.1. 二叉树（Binary Tree）
二叉树（Binary Tree）
</a>
</li>
@ -975,7 +975,7 @@
<li class="md-nav__item">
<a href="../../chapter_tree/binary_tree_traversal/" class="md-nav__link">
7.2. 二叉树遍历
二叉树遍历
</a>
</li>
@ -989,7 +989,7 @@
<li class="md-nav__item">
<a href="../../chapter_tree/binary_search_tree/" class="md-nav__link">
7.3. 二叉搜索树
二叉搜索树
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_tree/avl_tree/" class="md-nav__link">
7.4. AVL 树 *
AVL 树 *
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_tree/summary/" class="md-nav__link">
7.5. 小结
小结
</a>
</li>
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<label class="md-nav__link" for="__nav_9" id="__nav_9_label" tabindex="0">
8. 堆
堆
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_9_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_9">
<span class="md-nav__icon md-icon"></span>
8. 堆
堆
</label>
<ul class="md-nav__list" data-md-scrollfix>
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<li class="md-nav__item">
<a href="../../chapter_heap/heap/" class="md-nav__link">
8.1. 堆（Heap）
堆（Heap）
</a>
</li>
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<label class="md-nav__link" for="__nav_10" id="__nav_10_label" tabindex="0">
9. 图
图
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_10_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_10">
<span class="md-nav__icon md-icon"></span>
9. 图
图
</label>
<ul class="md-nav__list" data-md-scrollfix>
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<li class="md-nav__item">
<a href="../../chapter_graph/graph/" class="md-nav__link">
9.1. 图（Graph）
图（Graph）
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_graph/graph_operations/" class="md-nav__link">
9.2. 图基础操作
图基础操作
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_graph/graph_traversal/" class="md-nav__link">
9.3. 图的遍历
图的遍历
</a>
</li>
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<label class="md-nav__link" for="__nav_11" id="__nav_11_label" tabindex="0">
10. 查找算法
查找算法
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_11_label" aria-expanded="false">
<label class="md-nav__title" for="__nav_11">
<span class="md-nav__icon md-icon"></span>
10. 查找算法
查找算法
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -1220,7 +1220,7 @@
<li class="md-nav__item">
<a href="../../chapter_searching/linear_search/" class="md-nav__link">
10.1. 线性查找
线性查找
</a>
</li>
@ -1234,7 +1234,7 @@
<li class="md-nav__item">
<a href="../../chapter_searching/binary_search/" class="md-nav__link">
10.2. 二分查找
二分查找
</a>
</li>
@ -1248,7 +1248,7 @@
<li class="md-nav__item">
<a href="../../chapter_searching/hashing_search/" class="md-nav__link">
10.3. 哈希查找
哈希查找
</a>
</li>
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<li class="md-nav__item">
<a href="../../chapter_searching/summary/" class="md-nav__link">
10.4. 小结
小结
</a>
</li>
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<label class="md-nav__link" for="__nav_12" id="__nav_12_label" tabindex="0">
11. 排序算法
排序算法
<span class="md-nav__icon md-icon"></span>
</label>
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_12_label" aria-expanded="true">
<label class="md-nav__title" for="__nav_12">
<span class="md-nav__icon md-icon"></span>
11. 排序算法
排序算法
</label>
<ul class="md-nav__list" data-md-scrollfix>
@ -1329,7 +1329,7 @@
<li class="md-nav__item">
<a href="../intro_to_sort/" class="md-nav__link">
11.1. 排序简介
排序简介
</a>
</li>
@ -1352,12 +1352,12 @@
<label class="md-nav__link md-nav__link--active" for="__toc">
11.2. 冒泡排序
冒泡排序
<span class="md-nav__icon md-icon"></span>
</label>
<a href="./" class="md-nav__link md-nav__link--active">
11.2. 冒泡排序
冒泡排序
</a>
@ -1412,7 +1412,7 @@
<li class="md-nav__item">
<a href="../insertion_sort/" class="md-nav__link">
11.3. 插入排序
插入排序
</a>
</li>
@ -1426,7 +1426,7 @@
<li class="md-nav__item">
<a href="../quick_sort/" class="md-nav__link">
11.4. 快速排序
快速排序
</a>
</li>
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<li class="md-nav__item">
<a href="../merge_sort/" class="md-nav__link">
11.5. 归并排序
归并排序
</a>
</li>
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<li class="md-nav__item">
<a href="../summary/" class="md-nav__link">
11.6. 小结
小结
</a>
</li>
@ -2082,7 +2082,7 @@
<nav class="md-footer__inner md-grid" aria-label="页脚" >
<a href="../intro_to_sort/" class="md-footer__link md-footer__link--prev" aria-label="上一页: 11.1. 排序简介" rel="prev">
<a href="../intro_to_sort/" class="md-footer__link md-footer__link--prev" aria-label="上一页: 排序简介" rel="prev">
<div class="md-footer__button md-icon">
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M20 11v2H8l5.5 5.5-1.42 1.42L4.16 12l7.92-7.92L13.5 5.5 8 11h12Z"/></svg>
</div>
@ -2091,20 +2091,20 @@
<span class="md-footer__direction">
上一页
</span>
11.1. 排序简介
排序简介
</div>
</div>
</a>
<a href="../insertion_sort/" class="md-footer__link md-footer__link--next" aria-label="下一页: 11.3. 插入排序" rel="next">
<a href="../insertion_sort/" class="md-footer__link md-footer__link--next" aria-label="下一页: 插入排序" rel="next">
<div class="md-footer__title">
<div class="md-ellipsis">
<span class="md-footer__direction">
下一页
</span>
11.3. 插入排序
插入排序
</div>
</div>
<div class="md-footer__button md-icon">