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第 0 章 &nbsp; 前言
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0.1 &nbsp; 关于本书
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0.2 &nbsp; 如何使用本书
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0.3 &nbsp; 小结
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第 1 章 &nbsp; 初识算法
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第 1 章 &nbsp; 初识算法
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1.1 &nbsp; 算法无处不在
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1.2 &nbsp; 算法是什么
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1.3 &nbsp; 小结
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2.4 &nbsp; 空间复杂度
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第 3 章 &nbsp; 数据结构
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3.1 &nbsp; 数据结构分类
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3.2 &nbsp; 基本数据类型
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第 4 章 &nbsp; 数组与链表
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4.2 &nbsp; 链表
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4.3 &nbsp; 列表
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第 5 章 &nbsp; 栈与队列
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第 6 章 &nbsp; 哈希表
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6.1 &nbsp; 哈希表
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6.2 &nbsp; 哈希冲突
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6.3 &nbsp; 哈希算法
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第 7 章 &nbsp; 树
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第 7 章 &nbsp; 树
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7.1 &nbsp; 二叉树
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7.2 &nbsp; 二叉树遍历
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7.3 &nbsp; 二叉树数组表示
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7.4 &nbsp; 二叉搜索树
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7.5 &nbsp; AVL 树 *
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7.6 &nbsp; 小结
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第 8 章 &nbsp; 堆
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第 8 章 &nbsp; 堆
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8.1 &nbsp; 堆
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8.2 &nbsp; 建堆操作
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8.3 &nbsp; Top-K 问题
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第 9 章 &nbsp; 图
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第 9 章 &nbsp; 图
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9.1 &nbsp; 图
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9.2 &nbsp; 图基础操作
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9.3 &nbsp; 图的遍历
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9.4 &nbsp; 小结
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第 10 章 &nbsp; 搜索
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第 10 章 &nbsp; 搜索
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10.1 &nbsp; 二分查找
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10.2 &nbsp; 二分查找插入点
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10.3 &nbsp; 二分查找边界
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10.4 &nbsp; 哈希优化策略
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10.5 &nbsp; 重识搜索算法
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第 11 章 &nbsp; 排序
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11.1 &nbsp; 排序算法
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11.2 &nbsp; 选择排序
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11.3 &nbsp; 冒泡排序
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11.4 &nbsp; 插入排序
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11.5 &nbsp; 快速排序
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11.6 &nbsp; 归并排序
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11.7 &nbsp; 堆排序
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11.8 &nbsp; 桶排序
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11.9 &nbsp; 计数排序
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11.10 &nbsp; 基数排序
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11.11 &nbsp; 小结
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第 12 章 &nbsp; 分治
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12.1 &nbsp; 分治算法
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12.2 &nbsp; 分治搜索策略
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12.3 &nbsp; 构建树问题
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12.4 &nbsp; 汉诺塔问题
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第 13 章 &nbsp; 回溯
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13.1 &nbsp; 回溯算法
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13.2 &nbsp; 全排列问题
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13.3 &nbsp; 子集和问题
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13.4 &nbsp; N 皇后问题
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13.5 &nbsp; 小结
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14.1 &nbsp; 初探动态规划
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14.2 &nbsp; DP 问题特性
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14.3 &nbsp; DP 解题思路
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14.4 &nbsp; 0-1 背包问题
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14.5 &nbsp; 完全背包问题
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14.6 &nbsp; 编辑距离问题
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14.7 &nbsp; 小结
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第 15 章 &nbsp; 贪心
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15.1 &nbsp; 贪心算法
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15.2 &nbsp; 分数背包问题
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15.3 &nbsp; 最大容量问题
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15.4 &nbsp; 最大切分乘积问题
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15.5 &nbsp; 小结
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第 16 章 &nbsp; 附录
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16.1 &nbsp; 编程环境安装
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16.2 &nbsp; 一起参与创作
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16.3 &nbsp; 术语表
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<p align="center">
<img src="index.assets/conceptual_rendering.png" width="200">
<img src="index.assets/hello_algo_mindmap_tp.png" width="320">
</p>
<h2 align="center"> 《 Hello 算法 》</h2>
<p align="center"> 动画图解、一键运行的数据结构与算法教程 </p>
<p align="center">
<a href="https://github.com/krahets/hello-algo">
<img alt="GitHub repo stars" src="https://img.shields.io/github/stars/krahets/hello-algo?style=social&link=https%3A%2F%2Fgithub.com%2Fkrahets%2Fhello-algo">
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<a href="https://github.com/krahets/hello-algo/releases">
<img alt="GitHub all releases" src="https://img.shields.io/github/downloads/krahets/hello-algo/total?style=social&logo=gitbook&logoColor=black&label=Downloads">
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<a href="https://github.com/krahets/hello-algo">
<img alt="GitHub contributors" src="https://img.shields.io/github/contributors-anon/krahets/hello-algo?style=social&logo=git&logoColor=%23101010">
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</p>
<p align="center">
<img src="https://img.shields.io/badge/Python-snow?logo=python&logoColor=3776AB">
<img src="https://img.shields.io/badge/C%2B%2B-snow?logo=c%2B%2B&logoColor=00599C">
<img src="https://img.shields.io/badge/Java-snow?logo=coffeescript&logoColor=FC4C02">
<img src="https://img.shields.io/badge/C%23-snow?logo=csharp&logoColor=512BD4">
<img src="https://img.shields.io/badge/Go-snow?logo=go&logoColor=00ADD8">
<img src="https://img.shields.io/badge/Swift-snow?logo=swift&logoColor=F05138">
<img src="https://img.shields.io/badge/JavaScript-snow?logo=javascript&logoColor=E9CE30">
<img src="https://img.shields.io/badge/TypeScript-snow?logo=typescript&logoColor=3178C6">
<img src="https://img.shields.io/badge/Dart-snow?logo=dart&logoColor=0175C2">
<img src="https://img.shields.io/badge/Rust-snow?logo=rust&logoColor=000000">
<img src="https://img.shields.io/badge/C-snow?logo=c&logoColor=A8B9CC">
<img src="https://img.shields.io/badge/Zig-snow?logo=zig&logoColor=F7A41D">
<img src="https://img.shields.io/badge/Stay%20Tuned-snow">
</p>
<hr />
<h2 align="center"> 推荐语 </h2>
<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>
<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>
<hr />
<h3 align="center"> 全书动画图解 </h3>
<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 />
<h3 align="center"> 代码一键运行 </h3>
<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 Python、C++、Java、C#、Go、Swift、JS、TS、Dart、Rust、C、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 />
<h3 align="center"> 可讨论与提问 </h3>
<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>
<div class="admonition quote">
<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"> 序 </h2>
<p>两年前，我在力扣上分享了《剑指 Offer》系列题解，受到了许多同学的喜爱和支持。在与读者的交流期间，最常收到的一个问题是“如何入门学习算法”。我逐渐对这个问题产生了浓厚的兴趣。</p>
<p>两眼一抹黑地刷题似乎是最受欢迎的方法，简单直接且有效。刷题就如同玩“扫雷”游戏，自学能力强的同学能够顺利地将地雷逐个排掉，而基础不足的同学很可能被炸的满头是包，并在挫折中步步退缩。通读教材书籍也是一种常见做法，但对于面向求职的同学来说，毕业季、投递简历、准备笔试面试已经占据了大部分精力，厚重的书籍往往变成了一项艰巨的挑战。</p>
<p>如果你也面临类似的困扰，那么很幸运这本书找到了你。本书是我对此问题的给出的答案，即使不是最优解，也至少是一次积极的尝试。这本书虽然不足以让你直接拿到 Offer ，但会引导你探索数据结构与算法的“知识地图”，带你了解不同“地雷”的形状大小和分布位置，让你掌握各种“排雷方法”。有了这些本领，相信你可以更加自如地应对刷题和阅读文献，逐步构建起完整的知识体系。</p>
<p>我深深赞同费曼先生所言：“Knowledge isn't free. You have to pay attention.”从这个意义上看，这本书并非完全“免费”。为了不辜负你为本书所付出的宝贵“注意力”，我会尽我所能，投入最大的“注意力”来完成这本书的创作。</p>
<h3 align="left"> 作者简介 </h3>
<p>靳宇栋 (<a href="https://leetcode.cn/u/jyd/">Krahets</a>)，大厂高级算法工程师，上海交通大学硕士。力扣（LeetCode）全网阅读量最高博主，发表的<a href="https://leetcode.cn/leetbook/detail/illustration-of-algorithm/">《图解算法数据结构》</a>已被订阅 27 万本。</p>
<hr />
<h2 align="center"> 致谢 </h2>
<p>本书在开源社区众多贡献者的共同努力下不断成长。感谢每一位投入时间与精力的撰稿人，是他们的无私奉献使这本书变得更好，他们是（按照 GitHub 自动生成的顺序排列）：</p>
<p align="center">
<a href="https://github.com/krahets/hello-algo/graphs/contributors">
<img width="550" src="https://contrib.rocks/image?repo=krahets/hello-algo" />
</a>
</p>
<p>本书的代码审阅工作由 Gonglja, gvenusleo, justin‐tse, krahets, night-cruise, nuomi1, Reanon, sjinzh 完成（按照首字母顺序排列）。感谢他们付出的时间与精力，正是他们确保了各语言代码的规范与统一。</p>
<div class="center-table">
<table>
<tbody>
<td align="center"><a href="https://github.com/Gonglja"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/39959756?v=4" width="50px;" alt="Gonglja"/><br /><sub><b>Gonglja</b></sub></a><br /><sub>C, C++</sub></td>
<td align="center"><a href="https://github.com/gvenusleo"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/79075347?v=4" width="50px;" alt="gvenusleo"/><br /><sub><b>gvenusleo</b></sub></a><br /><sub>Dart</sub></td>
<td align="center"><a href="https://github.com/hpstory"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/33348162?v=4" width="50px;" alt="hpstory"/><br /><sub><b>hpstory</b></sub></a><br /><sub>C#</sub></td>
<td align="center"><a href="https://github.com/justin-tse"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/24556310?v=4" width="50px;" alt="justin-tse"/><br /><sub><b>justin-tse</b></sub></a><br /><sub>JS, TS</sub></td>
<td align="center"><a href="https://github.com/krahets"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/26993056?v=4" width="50px;" alt="krahets"/><br /><sub><b>krahets</b></sub></a><br /><sub>Java, Python</sub></td>
<td align="center"><a href="https://github.com/night-cruise"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/77157236?v=4" width="50px;" alt="night-cruise"/><br /><sub><b>night-cruise</b></sub></a><br /><sub>Rust</sub></td>
<td align="center"><a href="https://github.com/nuomi1"><img style="border-radius: 50%;" 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 style="border-radius: 50%;" 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>
<td align="center"><a href="https://github.com/sjinzh"><img style="border-radius: 50%;" src="https://avatars.githubusercontent.com/u/99076655?v=4" width="50px;" alt="sjinzh"/><br /><sub><b>sjinzh</b></sub></a><br /><sub>Rust, Zig</sub></td>
</tbody>
</table>
</div>
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