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分治
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回溯
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动态规划
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动画图解、一键运行的数据结构与算法教程
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500 幅动画图解、12 种编程语言代码、3000 条社区问答,助你快速入门数据结构与算法
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推荐语
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“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。”
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—— 邓俊辉,清华大学计算机系教授
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“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!”
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—— 李沐,亚马逊资深首席科学家
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动画图解
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内容清晰易懂,学习曲线平滑
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"A picture is worth a thousand words."
<br/>
“一图胜千言”
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一键运行
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十余种编程语言,代码可视化运行
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"Talk is cheap. Show me the code."
<br/>
“少吹牛,看代码”
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互助学习
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欢迎讨论与提问,读者间携手共进
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"Learning by teaching."
<br/>
“教学相长”
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作者
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<img alt="Author: yudongjin" class="profile-img" src="assets/avatar/avatar_yudongjin.jpg"/>
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<b>
靳宇栋(@krahets
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<h3>
代码审阅者
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<a href="https://github.com/codingonion">
<img alt="Reviewer: codingonion" class="profile-img" src="assets/avatar/avatar_codingonion.jpg"/>
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<b>
codingonion
</b>
<br/>
<sub>
Zig, Rust
</sub>
</a>
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Gonglja
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<br/>
<sub>
C, C++
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gvenusleo
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<br/>
<sub>
Dart
</sub>
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hpstory
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<br/>
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C#
</sub>
</a>
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<b>
justin-tse
</b>
<br/>
<sub>
JS, TS
</sub>
</a>
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<a href="https://github.com/krahets">
<img alt="Reviewer: krahets" class="profile-img" src="assets/avatar/avatar_krahets.jpg"/>
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<b>
krahets
</b>
<br/>
<sub>
Python, Java
</sub>
</a>
</div>
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<a href="https://github.com/night-cruise">
<img alt="Reviewer: night-cruise" class="profile-img" src="assets/avatar/avatar_night-cruise.jpg"/>
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<b>
night-cruise
</b>
<br/>
<sub>
Rust
</sub>
</a>
</div>
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<a href="https://github.com/nuomi1">
<img alt="Reviewer: nuomi1" class="profile-img" src="assets/avatar/avatar_nuomi1.jpg"/>
<br/>
<b>
nuomi1
</b>
<br/>
<sub>
Swift
</sub>
</a>
</div>
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<a href="https://github.com/Reanon">
<img alt="Reviewer: Reanon" class="profile-img" src="assets/avatar/avatar_Reanon.jpg"/>
<br/>
<b>
Reanon
</b>
<br/>
<sub>
Go, C
</sub>
</a>
</div>
</div>
</div>
<div style="margin: 2em auto;">
<h3>
贡献者
</h3>
<p>
本书在开源社区 140 多位贡献者的共同努力下不断完善,感谢他们付出的时间与精力!
</p>
<a href="https://github.com/krahets/hello-algo/graphs/contributors">
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第 0 章   前言
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第 0 章   前言
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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   小结
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第 1 章   初识算法
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第 1 章   初识算法
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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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1.3   小结
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第 2 章   复杂度分析
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第 2 章   复杂度分析
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2.1   算法效率评估
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2.2   迭代与递归
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2.3   时间复杂度
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2.4   空间复杂度
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2.5   小结
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第 3 章   数据结构
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第 3 章   数据结构
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3.1   数据结构分类
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3.2   基本数据类型
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3.3   数字编码 *
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3.4   字符编码 *
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3.5   小结
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第 4 章   数组与链表
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第 4 章   数组与链表
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4.1   数组
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4.2   链表
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4.3   列表
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4.4   内存与缓存 *
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4.5   小结
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第 5 章   栈与队列
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第 5 章   栈与队列
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5.1  
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5.2   队列
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5.3   双向队列
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5.4   小结
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第 6 章   哈希表
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第 6 章   哈希表
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6.1   哈希表
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6.2   哈希冲突
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6.3   哈希算法
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6.4   小结
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第 7 章  
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第 7 章  
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7.1   二叉树
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7.2   二叉树遍历
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7.3   二叉树数组表示
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7.4   二叉搜索树
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7.5   AVL 树 *
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7.6   小结
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第 8 章  
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第 8 章  
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8.1  
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8.2   建堆操作
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8.3   Top-k 问题
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8.4   小结
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第 9 章  
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第 9 章  
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9.1  
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9.2   图基础操作
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9.3   图的遍历
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9.4   小结
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第 10 章   搜索
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第 10 章   搜索
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10.1   二分查找
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10.2   二分查找插入点
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10.3   二分查找边界
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10.4   哈希优化策略
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10.5   重识搜索算法
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10.6   小结
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第 11 章   排序
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第 11 章   排序
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11.1   排序算法
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11.2   选择排序
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11.3   冒泡排序
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11.4   插入排序
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11.5   快速排序
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11.6   归并排序
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11.7   堆排序
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11.8   桶排序
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11.9   计数排序
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11.10   基数排序
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11.11   小结
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第 12 章   分治
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第 12 章   分治
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12.1   分治算法
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12.2   分治搜索策略
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12.3   构建树问题
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12.4   汉诺塔问题
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12.5   小结
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第 13 章   回溯
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第 13 章   回溯
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13.1   回溯算法
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13.2   全排列问题
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13.3   子集和问题
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13.4   N 皇后问题
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