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0. 写在前面
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0. 写在前面
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0.1. 关于本书
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0.2. 如何使用本书
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0.3. 编程环境安装
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0.4. 一起参与创作
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1. 引言
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1. 引言
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1.1. 算法无处不在
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1.2. 算法是什么
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2. 计算复杂度
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2. 计算复杂度
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2.1. 算法效率评估
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2.2. 时间复杂度
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2.3. 空间复杂度
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2.4. 权衡时间与空间
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2.5. 小结
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3. 数据结构简介
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< label class = "md-nav__title" for = "__nav_4" >
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3. 数据结构简介
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< a href = "chapter_data_structure/data_and_memory/" class = "md-nav__link" >
3.1. 数据与内存
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< / li >
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< a href = "chapter_data_structure/classification_of_data_structure/" class = "md-nav__link" >
3.2. 数据结构分类
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3.3. 小结
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< / nav >
< / li >
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4. 数组与链表
< span class = "md-nav__icon md-icon" > < / span >
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4. 数组与链表
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< a href = "chapter_array_and_linkedlist/array/" class = "md-nav__link" >
4.1. 数组（ ）
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< / li >
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< a href = "chapter_array_and_linkedlist/linked_list/" class = "md-nav__link" >
4.2. 链表（ ）
< / a >
< / li >
< li class = "md-nav__item" >
< a href = "chapter_array_and_linkedlist/list/" class = "md-nav__link" >
4.3. 列表（ ）
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< li class = "md-nav__item" >
< a href = "chapter_array_and_linkedlist/summary/" class = "md-nav__link" >
4.4. 小结
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--section md-nav__item--nested" >
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5. 栈与队列
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< / label >
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5. 栈与队列
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< li class = "md-nav__item" >
< a href = "chapter_stack_and_queue/stack/" class = "md-nav__link" >
5.1. 栈（ ）
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< a href = "chapter_stack_and_queue/queue/" class = "md-nav__link" >
5.2. 队列（ ）
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< li class = "md-nav__item" >
< a href = "chapter_stack_and_queue/deque/" class = "md-nav__link" >
5.3. 双向队列（ ）
< / a >
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< a href = "chapter_stack_and_queue/summary/" class = "md-nav__link" >
5.4. 小结
< / a >
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< / li >
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< label class = "md-nav__link" for = "__nav_7" id = "__nav_7_label" tabindex = "0" >
6. 散列表
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< / 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
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< a href = "chapter_hashing/hash_map/" class = "md-nav__link" >
6.1. 哈希表（ ）
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< a href = "chapter_hashing/hash_collision/" class = "md-nav__link" >
6.2. 哈希冲突处理
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< a href = "chapter_hashing/summary/" class = "md-nav__link" >
6.3. 小结
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7. 二叉树
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< / label >
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7. 二叉树
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7.1. 二叉树（ ）
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< a href = "chapter_tree/binary_tree_traversal/" class = "md-nav__link" >
7.2. 二叉树遍历
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< a href = "chapter_tree/binary_search_tree/" class = "md-nav__link" >
7.3. 二叉搜索树
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< a href = "chapter_tree/avl_tree/" class = "md-nav__link" >
7.4. AVL 树 *
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< a href = "chapter_tree/summary/" class = "md-nav__link" >
7.5. 小结
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< li class = "md-nav__item md-nav__item--section md-nav__item--nested" >
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8. 堆
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< label class = "md-nav__title" for = "__nav_9" >
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8. 堆
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< li class = "md-nav__item" >
< a href = "chapter_heap/heap/" class = "md-nav__link" >
8.1. 堆（ ）
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9. 图
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9. 图
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< a href = "chapter_graph/graph/" class = "md-nav__link" >
9.1. 图（ ）
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< a href = "chapter_graph/graph_operations/" class = "md-nav__link" >
9.2. 图基础操作
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9.3. 图的遍历
< / a >
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10. 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
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
< li class = "md-nav__item" >
< a href = "chapter_searching/linear_search/" class = "md-nav__link" >
10.1. 线性查找
< / a >
< / li >
< li class = "md-nav__item" >
< a href = "chapter_searching/binary_search/" class = "md-nav__link" >
10.2. 二分查找
< / a >
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< li class = "md-nav__item" >
< a href = "chapter_searching/hashing_search/" class = "md-nav__link" >
10.3. 哈希查找
< / a >
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< li class = "md-nav__item" >
< a href = "chapter_searching/summary/" class = "md-nav__link" >
10.4. 小结
< / a >
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< / nav >
< / li >
< li class = "md-nav__item md-nav__item--section md-nav__item--nested" >
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< label class = "md-nav__link" for = "__nav_12" id = "__nav_12_label" tabindex = "0" >
11. 排序算法
< span class = "md-nav__icon md-icon" > < / span >
< / label >
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< label class = "md-nav__title" for = "__nav_12" >
< span class = "md-nav__icon md-icon" > < / span >
11. 排序算法
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
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< a href = "chapter_sorting/intro_to_sort/" class = "md-nav__link" >
11.1. 排序简介
< / a >
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< li class = "md-nav__item" >
< a href = "chapter_sorting/bubble_sort/" class = "md-nav__link" >
11.2. 冒泡排序
< / a >
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< li class = "md-nav__item" >
< a href = "chapter_sorting/insertion_sort/" class = "md-nav__link" >
11.3. 插入排序
< / a >
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< li class = "md-nav__item" >
< a href = "chapter_sorting/quick_sort/" class = "md-nav__link" >
11.4. 快速排序
< / a >
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< li class = "md-nav__item" >
< a href = "chapter_sorting/merge_sort/" class = "md-nav__link" >
11.5. 归并排序
< / a >
< / li >
< li class = "md-nav__item" >
< a href = "chapter_sorting/summary/" class = "md-nav__link" >
11.6. 小结
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< a href = "chapter_reference/" > 参考文献< / a >
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参考文献
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< / br > < / br > < / br > < / br > < / br >
< h1 align = "center" > 《 Hello， < / h1 >
< p align = "center" > 动画图解、能运行、可提问的< / br > 数据结构与算法快速入门教程 < / p >
< p align = "center" > < a href = "https://github.com/krahets/hello-algo" > < img alt = "github-stars" src = "https://img.shields.io/github/stars/krahets/hello-algo?style=social" / > < / a > < / p >
< h6 align = "center" > < a href = "https://leetcode.cn/u/jyd/" > @Krahets< / a > < / h6 >
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< / div >
< / div >
< / div >
< hr / >
< h2 align = "center" > 「全书动画图解」 < / h2 >
< p align = "center" > 内容清晰易懂、学习曲线平滑< / br > 电脑、平板、手机全终端阅读 < / p >
< p > < img alt = "algorithm_animation" src = "index.assets/animation.gif" / > < / p >
< div class = "admonition quote" >
< p > < p align = "center" > "A picture is worth a thousand words." < / p >
< p align = "center" > “一图胜千言” < / p > < / p >
< / div >
< hr / >
< h2 align = "center" > 「代码一键运行」 < / h2 >
< p align = "center" > 提供各个算法与数据结构的简洁实现与测试样例，皆可直接运行< / br > 支持 Java, C++, Python, Go, JS, TS, C#, Swift, Zig 等语言 < / p >
< p > < img alt = "running_code" src = "index.assets/running_code.gif" / > < / p >
< div class = "admonition quote" >
< p > < p align = "center" > "Talk is cheap. Show me the code." < / p >
< p align = "center" > “少吹牛，看代码” < / p > < / p >
< / div >
< hr / >
< h2 align = "center" > 「可讨论与提问」 < / h2 >
< p align = "center" > 鼓励小伙伴们互帮互助、共同成长< / br > 提问与评论一般能在两日内得到回复 < / p >
< p > < img alt = "comment" src = "index.assets/comment.gif" / > < / p >
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< p > < p align = "center" > “追风赶月莫停留，平芜尽处是春山” < / p >
< p align = "center" > 一起加油！ < / p > < / p >
< / div >
< hr / >
< h2 align = "center" > 推荐语 < / h2 >
< div class = "admonition quote" >
< p class = "admonition-title" > Quote< / p >
< p > “如果我当年学数据结构与算法的时候有《Hello 算法》，学起来应该会简单 10 倍！”< / p >
< p > < strong > —— 李沐，亚马逊资深首席科学家< / strong > < / p >
< / div >
< div class = "admonition quote" >
< p class = "admonition-title" > Quote< / p >
< p > “一本通俗易懂的数据结构与算法入门书，引导读者手脑并用地学习，强烈推荐算法初学者阅读。”< / p >
< p > < strong > —— 邓俊辉，清华大学计算机系教授< / strong > < / p >
< / div >
< h2 align = "center" > 参与写作 < / h2 >
< p > 感谢本开源书的每一位撰稿人，是他们的无私奉献让这本书变得更好，他们是（顺序由 contrib.rocks 自动生成）：< / p >
< p align = "center" >
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< img width = "550" src = "https://contrib.rocks/image?repo=krahets/hello-algo" / >
< / a >
< / p >
< p > 本开源项目的维护与更新离不开各位 Reviewers 的辛勤付出，感谢他们（按首字母顺序）：< / p >
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< td align = "center" > < a href = "https://github.com/nuomi1" > < img src = "https://avatars.githubusercontent.com/u/3739017?v=4" width = "50px;" alt = "nuomi1" / > < br / > < sub > < b > nuomi1< / b > < / sub > < / a > < br / > < sub > Swift< / sub > < / td >
< td align = "center" > < a href = "https://github.com/Reanon" > < img src = "https://avatars.githubusercontent.com/u/22005836?v=4" width = "50px;" alt = "Reanon" / > < br / > < sub > < b > Reanon< / b > < / sub > < / a > < br / > < sub > Go / C< / sub > < / td >
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< h2 id = "__comments" > 评论< / h2 >
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