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Hello 算法
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0.1. 关于本书
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0. 写在前面
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0.1. 关于本书
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0.1. 关于本书
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目录
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0.1.1. 读者对象
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0.1.2. 内容结构
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复杂度分析
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数据结构
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算法
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0.1.3. 配套代码
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0.1.4. 风格约定
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0.1.5. 本书特点 *
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0.1.6. 致谢
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0.1.7. 作者简介
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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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1.1. 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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3. 数据结构简介
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3.1. 数据与内存
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3.2. 数据结构分类
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3.3. 小结
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4. 数组与链表
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4. 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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< a href = "../../chapter_array_and_linkedlist/list/" class = "md-nav__link" >
4.3. 列表（ ）
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4.4. 小结
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5. 栈与队列
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5. 栈与队列
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5.1. 栈（ ）
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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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6. 散列表
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6. 散列表
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6.1. 哈希表（ ）
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6.2. 哈希冲突处理
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6.3. 小结
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7. 二叉树
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7. 二叉树
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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. 二叉搜索树
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7.4. AVL 树 *
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7.5. 小结
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8. 堆
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8. 堆
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8.1. 堆（ ）
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9. 图
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9. 图
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9.1. 图（ ）
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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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10. 查找算法
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10. 查找算法
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10.1. 线性查找
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10.2. 二分查找
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10.3. 哈希查找
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10.4. 小结
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11. 排序算法
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11. 排序算法
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11.1. 排序简介
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11.2. 冒泡排序
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11.3. 插入排序
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11.4. 快速排序
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11.5. 归并排序
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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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目录
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0.1.1. 读者对象
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0.1.2. 内容结构
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复杂度分析
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数据结构
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算法
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0.1.3. 配套代码
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0.1.4. 风格约定
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0.1.5. 本书特点 *
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< a href = "#016" class = "md-nav__link" >
0.1.6. 致谢
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0.1.7. 作者简介
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< a href = "https://github.com/krahets/hello-algo/tree/main/docs/chapter_preface/about_the_book.md" title = "编辑此页" class = "md-content__button md-icon" >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M10 20H6V4h7v5h5v3.1l2-2V8l-6-6H6c-1.1 0-2 .9-2 2v16c0 1.1.9 2 2 2h4v-2m10.2-7c.1 0 .3.1.4.2l1.3 1.3c.2.2.2.6 0 .8l-1 1-2.1-2.1 1-1c.1-.1.2-.2.4-.2m0 3.9L14.1 23H12v-2.1l6.1-6.1 2.1 2.1Z" / > < / svg >
< / a >
< h1 id = "01" > 0.1. 关于本书< a class = "headerlink" href = "#01" title = "Permanent link" > ¶ < / a > < / h1 >
< p > 五年前发生的一件事，成为了我职业生涯的重要转折点。当时的我在交大读研，对互联网求职一无所知，但仍然硬着头皮申请了 Microsoft 软件工程师实习。面试官让我在白板上写出“快速排序”代码，我畏畏缩缩地写了一个“冒泡排序”，并且还写错了< code > (ToT)< / code > 。从面试官的表情上，我看到了一个大大的 "GG" 。< / p >
< p > 此次失利倒逼我开始刷算法题。我采用“扫雷游戏”式的学习方法，两眼一抹黑刷题，扫到不会的“雷”就通过查资料把它“排掉”，配合周期性总结，逐渐形成了数据结构与算法的知识图景。幸运地，我在秋招斩获了多家大厂的 Offer 。< / p >
< p > 回想自己当初在“扫雷式”刷题中被炸的满头包的痛苦，思考良久，我意识到一本“前期刷题必看”的读物可以使算法小白少走许多弯路。写作意愿滚滚袭来，那就动笔吧：< / p >
< h4 align = "center" > Hello， ！ < / h4 >
< h2 id = "011" > 0.1.1. 读者对象< a class = "headerlink" href = "#011" title = "Permanent link" > ¶ < / a > < / h2 >
< div class = "admonition success" >
< p class = "admonition-title" > 前置条件< / p >
< p > 您需要至少具备任一语言的编程基础，能够阅读和编写简单代码。< / p >
< / div >
< p > 如果您是 < strong > 算法初学者< / strong > ，完全没有接触过算法，或者已经有少量刷题，对数据结构与算法有朦胧的理解，在会与不会之间反复横跳，那么这本书就是为您而写！本书能够带来：< / p >
< ul >
< li > 了解刷题所需的 < strong > 数据结构< / strong > ，包括常用操作、优势和劣势、典型应用、实现方法等。< / li >
< li > 学习各类 < strong > 算法< / strong > ，介绍算法的设计思想、运行效率、优势劣势、实现方法等。< / li >
< li > 可一键运行的 < strong > 配套代码< / strong > ，包含详细注释，帮助你通过实践加深理解。< / li >
< / ul >
< p > 如果您是 < strong > 算法熟练工< / strong > ，已经积累一定刷题量，接触过大多数题型，那么本书内容对你来说可能稍显基础，但仍能够带来以下价值：< / p >
< ul >
< li > 本书篇幅不长，可以帮助你提纲挈领地回顾算法知识。< / li >
< li > 书中包含许多对比性、总结性的算法内容，可以帮助你梳理算法知识体系。< / li >
< li > 源代码实现了各种经典数据结构和算法，可以作为“刷题工具库”来使用。< / li >
< / ul >
< p > 如果您是 < strong > 算法大佬< / strong > ，请受我膜拜！希望您可以抽时间提出意见建议，或者< a href = "https://www.hello-algo.com/chapter_preface/contribution/" > 一起参与创作< / a > ，帮助各位同学获取更好的学习内容，感谢！< / p >
< h2 id = "012" > 0.1.2. 内容结构< a class = "headerlink" href = "#012" title = "Permanent link" > ¶ < / a > < / h2 >
< p > 本书主要内容分为复杂度分析、数据结构、算法三个部分。< / p >
< p > < img alt = "mindmap" src = "../about_the_book.assets/mindmap.png" / > < / p >
< p align = "center" > Fig. 知识点思维导图 < / p >
< h3 id = "_1" > 复杂度分析< a class = "headerlink" href = "#_1" title = "Permanent link" > ¶ < / a > < / h3 >
< p > 首先介绍数据结构与算法的评价维度、算法效率的评估方法，引出了计算复杂度概念。< / p >
< p > 接下来，从 < strong > 函数渐近上界< / strong > 入手，分别介绍了 < strong > 时间复杂度< / strong > 和 < strong > 空间复杂度< / strong > ，包括推算方法、常见类型、示例等。同时，剖析了 < strong > 最差、最佳、平均< / strong > 时间复杂度的联系与区别。< / p >
< h3 id = "_2" > 数据结构< a class = "headerlink" href = "#_2" title = "Permanent link" > ¶ < / a > < / h3 >
< p > 首先介绍了常用的 < strong > 基本数据类型< / strong > 、以及它们是如何在内存中存储的。< / p >
< p > 接下来，介绍了两种 < strong > 数据结构分类方法< / strong > ，包括逻辑结构与物理结构。< / p >
< p > 后续展开介绍了 < strong > 数组、链表、栈、队列、散列表、树、堆、图< / strong > 等数据结构，关心以下内容：< / p >
< ul >
< li > 基本定义：数据结构的设计来源、存在意义；< / li >
< li > 主要特点：在各项数据操作中的优势、劣势；< / li >
< li > 常用操作：例如访问、更新、插入、删除、遍历、搜索等；< / li >
< li > 常见类型：在算法题或工程实际中，经常碰到的数据结构类型；< / li >
< li > 典型应用：此数据结构经常搭配哪些算法使用；< / li >
< li > 实现方法：对于重要的数据结构，将给出完整的实现示例；< / li >
< / ul >
< h3 id = "_3" > 算法< a class = "headerlink" href = "#_3" title = "Permanent link" > ¶ < / a > < / h3 >
< p > 包括 < strong > 查找算法、排序算法、搜索与回溯、动态规划、分治算法< / strong > ，内容包括：< / p >
< ul >
< li > 基本定义：算法的设计思想；< / li >
< li > 主要特点：使用前置条件、优势和劣势；< / li >
< li > 算法效率：最差和平均时间复杂度、空间复杂度；< / li >
< li > 实现方法：完整的算法实现，以及优化措施；< / li >
< li > 示例题目：结合例题加深理解；< / li >
< / ul >
< h2 id = "013" > 0.1.3. 配套代码< a class = "headerlink" href = "#013" title = "Permanent link" > ¶ < / a > < / h2 >
< p > 完整代码托管在 < a href = "https://github.com/krahets/hello-algo" > GitHub 仓库< / a > ，皆可一键运行。< / p >
< div class = "admonition tip" >
< p class = "admonition-title" > 前置工作< / p >
< ol >
< li > < a href = "https://www.hello-algo.com/chapter_preface/installation/" > 编程环境安装< / a > ，若有请跳过< / li >
< li > 代码下载与使用方法请见 < a href = "https://www.hello-algo.com/chapter_preface/suggestions/#_4" > 如何使用本书< / a > < / li >
< / ol >
< / div >
< h2 id = "014" > 0.1.4. 风格约定< a class = "headerlink" href = "#014" title = "Permanent link" > ¶ < / a > < / h2 >
< ul >
< li > 标题后标注 * 符号的是选读章节，如果你的时间有限，可以先跳过这些章节。< / li >
< li > 文章中的重要名词会用「」符号标注，例如「数组 Array」。名词混淆会导致不必要的歧义， （ ） ， < / li >
< li > 重点内容、总起句、总结句会被 < strong > 加粗< / strong > ，此类文字值得特别关注。< / li >
< li > 专有名词和有特指含义的词句会使用 “ ” 标注，以避免歧义。< / li >
< li > 在工程应用中，每种语言都有注释规范；而本书放弃了一部分的注释规范性，以换取更加紧凑的内容排版。注释主要分为三种类型：标题注释、内容注释、多行注释。< / li >
< / ul >
< div class = "tabbed-set tabbed-alternate" data-tabs = "1:10" > < input checked = "checked" id = "__tabbed_1_1" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_2" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_3" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_4" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_5" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_6" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_7" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_8" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_9" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_10" name = "__tabbed_1" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_1_1" > Java< / label > < label for = "__tabbed_1_2" > C++< / label > < label for = "__tabbed_1_3" > Python< / label > < label for = "__tabbed_1_4" > Go< / label > < label for = "__tabbed_1_5" > JavaScript< / label > < label for = "__tabbed_1_6" > TypeScript< / label > < label for = "__tabbed_1_7" > C< / label > < label for = "__tabbed_1_8" > C#< / label > < label for = "__tabbed_1_9" > Swift< / label > < label for = "__tabbed_1_10" > Zig< / label > < / div >
< div class = "tabbed-content" >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-0-1" name = "__codelineno-0-1" href = "#__codelineno-0-1" > < / a > < span class = "cm" > /* 标题注释，用于标注函数、类、测试样例等 */< / span >
< a id = "__codelineno-0-2" name = "__codelineno-0-2" href = "#__codelineno-0-2" > < / a >
< a id = "__codelineno-0-3" name = "__codelineno-0-3" href = "#__codelineno-0-3" > < / a > < span class = "c1" > // 内容注释，用于详解代码< / span >
< a id = "__codelineno-0-4" name = "__codelineno-0-4" href = "#__codelineno-0-4" > < / a >
< a id = "__codelineno-0-5" name = "__codelineno-0-5" href = "#__codelineno-0-5" > < / a > < span class = "cm" > /**< / span >
< a id = "__codelineno-0-6" name = "__codelineno-0-6" href = "#__codelineno-0-6" > < / a > < span class = "cm" > * 多行< / span >
< a id = "__codelineno-0-7" name = "__codelineno-0-7" href = "#__codelineno-0-7" > < / a > < span class = "cm" > * 注释< / span >
< a id = "__codelineno-0-8" name = "__codelineno-0-8" href = "#__codelineno-0-8" > < / a > < span class = "cm" > */< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-1-1" name = "__codelineno-1-1" href = "#__codelineno-1-1" > < / a > < span class = "cm" > /* 标题注释，用于标注函数、类、测试样例等 */< / span >
< a id = "__codelineno-1-2" name = "__codelineno-1-2" href = "#__codelineno-1-2" > < / a >
< a id = "__codelineno-1-3" name = "__codelineno-1-3" href = "#__codelineno-1-3" > < / a > < span class = "c1" > // 内容注释，用于详解代码< / span >
< a id = "__codelineno-1-4" name = "__codelineno-1-4" href = "#__codelineno-1-4" > < / a >
< a id = "__codelineno-1-5" name = "__codelineno-1-5" href = "#__codelineno-1-5" > < / a > < span class = "cm" > /**< / span >
< a id = "__codelineno-1-6" name = "__codelineno-1-6" href = "#__codelineno-1-6" > < / a > < span class = "cm" > * 多行< / span >
< a id = "__codelineno-1-7" name = "__codelineno-1-7" href = "#__codelineno-1-7" > < / a > < span class = "cm" > * 注释< / span >
< a id = "__codelineno-1-8" name = "__codelineno-1-8" href = "#__codelineno-1-8" > < / a > < span class = "cm" > */< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-2-1" name = "__codelineno-2-1" href = "#__codelineno-2-1" > < / a > < span class = "sd" > " " " 标题注释，用于标注函数、类、测试样例等 " " " < / span >
< a id = "__codelineno-2-2" name = "__codelineno-2-2" href = "#__codelineno-2-2" > < / a >
< a id = "__codelineno-2-3" name = "__codelineno-2-3" href = "#__codelineno-2-3" > < / a > < span class = "c1" > # 内容注释，用于详解代码< / span >
< a id = "__codelineno-2-4" name = "__codelineno-2-4" href = "#__codelineno-2-4" > < / a >
< a id = "__codelineno-2-5" name = "__codelineno-2-5" href = "#__codelineno-2-5" > < / a > < span class = "sd" > " " " < / span >
< a id = "__codelineno-2-6" name = "__codelineno-2-6" href = "#__codelineno-2-6" > < / a > < span class = "sd" > 多行< / span >
< a id = "__codelineno-2-7" name = "__codelineno-2-7" href = "#__codelineno-2-7" > < / a > < span class = "sd" > 注释< / span >
< a id = "__codelineno-2-8" name = "__codelineno-2-8" href = "#__codelineno-2-8" > < / a > < span class = "sd" > " " " < / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-3-1" name = "__codelineno-3-1" href = "#__codelineno-3-1" > < / a > < span class = "cm" > /* 标题注释，用于标注函数、类、测试样例等 */< / span >
< a id = "__codelineno-3-2" name = "__codelineno-3-2" href = "#__codelineno-3-2" > < / a >
< a id = "__codelineno-3-3" name = "__codelineno-3-3" href = "#__codelineno-3-3" > < / a > < span class = "c1" > // 内容注释，用于详解代码< / span >
< a id = "__codelineno-3-4" name = "__codelineno-3-4" href = "#__codelineno-3-4" > < / a >
< a id = "__codelineno-3-5" name = "__codelineno-3-5" href = "#__codelineno-3-5" > < / a > < span class = "cm" > /**< / span >
< a id = "__codelineno-3-6" name = "__codelineno-3-6" href = "#__codelineno-3-6" > < / a > < span class = "cm" > * 多行< / span >
< a id = "__codelineno-3-7" name = "__codelineno-3-7" href = "#__codelineno-3-7" > < / a > < span class = "cm" > * 注释< / span >
< a id = "__codelineno-3-8" name = "__codelineno-3-8" href = "#__codelineno-3-8" > < / a > < span class = "cm" > */< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-4-1" name = "__codelineno-4-1" href = "#__codelineno-4-1" > < / a > < span class = "cm" > /* 标题注释，用于标注函数、类、测试样例等 */< / span >
< a id = "__codelineno-4-2" name = "__codelineno-4-2" href = "#__codelineno-4-2" > < / a >
< a id = "__codelineno-4-3" name = "__codelineno-4-3" href = "#__codelineno-4-3" > < / a > < span class = "c1" > // 内容注释，用于详解代码< / span >
< a id = "__codelineno-4-4" name = "__codelineno-4-4" href = "#__codelineno-4-4" > < / a >
< a id = "__codelineno-4-5" name = "__codelineno-4-5" href = "#__codelineno-4-5" > < / a > < span class = "cm" > /**< / span >
< a id = "__codelineno-4-6" name = "__codelineno-4-6" href = "#__codelineno-4-6" > < / a > < span class = "cm" > * 多行< / span >
< a id = "__codelineno-4-7" name = "__codelineno-4-7" href = "#__codelineno-4-7" > < / a > < span class = "cm" > * 注释< / span >
< a id = "__codelineno-4-8" name = "__codelineno-4-8" href = "#__codelineno-4-8" > < / a > < span class = "cm" > */< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-5-1" name = "__codelineno-5-1" href = "#__codelineno-5-1" > < / a > < span class = "cm" > /* 标题注释，用于标注函数、类、测试样例等 */< / span >
< a id = "__codelineno-5-2" name = "__codelineno-5-2" href = "#__codelineno-5-2" > < / a >
< a id = "__codelineno-5-3" name = "__codelineno-5-3" href = "#__codelineno-5-3" > < / a > < span class = "c1" > // 内容注释，用于详解代码< / span >
< a id = "__codelineno-5-4" name = "__codelineno-5-4" href = "#__codelineno-5-4" > < / a >
< a id = "__codelineno-5-5" name = "__codelineno-5-5" href = "#__codelineno-5-5" > < / a > < span class = "cm" > /**< / span >
< a id = "__codelineno-5-6" name = "__codelineno-5-6" href = "#__codelineno-5-6" > < / a > < span class = "cm" > * 多行< / span >
< a id = "__codelineno-5-7" name = "__codelineno-5-7" href = "#__codelineno-5-7" > < / a > < span class = "cm" > * 注释< / span >
< a id = "__codelineno-5-8" name = "__codelineno-5-8" href = "#__codelineno-5-8" > < / a > < span class = "cm" > */< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-6-1" name = "__codelineno-6-1" href = "#__codelineno-6-1" > < / a > < span class = "cm" > /* 标题注释，用于标注函数、类、测试样例等 */< / span >
< a id = "__codelineno-6-2" name = "__codelineno-6-2" href = "#__codelineno-6-2" > < / a >
< a id = "__codelineno-6-3" name = "__codelineno-6-3" href = "#__codelineno-6-3" > < / a > < span class = "c1" > // 内容注释，用于详解代码< / span >
< a id = "__codelineno-6-4" name = "__codelineno-6-4" href = "#__codelineno-6-4" > < / a >
< a id = "__codelineno-6-5" name = "__codelineno-6-5" href = "#__codelineno-6-5" > < / a > < span class = "cm" > /**< / span >
< a id = "__codelineno-6-6" name = "__codelineno-6-6" href = "#__codelineno-6-6" > < / a > < span class = "cm" > * 多行< / span >
< a id = "__codelineno-6-7" name = "__codelineno-6-7" href = "#__codelineno-6-7" > < / a > < span class = "cm" > * 注释< / span >
< a id = "__codelineno-6-8" name = "__codelineno-6-8" href = "#__codelineno-6-8" > < / a > < span class = "cm" > */< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-7-1" name = "__codelineno-7-1" href = "#__codelineno-7-1" > < / a > < span class = "cm" > /* 标题注释，用于标注函数、类、测试样例等 */< / span >
< a id = "__codelineno-7-2" name = "__codelineno-7-2" href = "#__codelineno-7-2" > < / a >
< a id = "__codelineno-7-3" name = "__codelineno-7-3" href = "#__codelineno-7-3" > < / a > < span class = "c1" > // 内容注释，用于详解代码< / span >
< a id = "__codelineno-7-4" name = "__codelineno-7-4" href = "#__codelineno-7-4" > < / a >
< a id = "__codelineno-7-5" name = "__codelineno-7-5" href = "#__codelineno-7-5" > < / a > < span class = "cm" > /**< / span >
< a id = "__codelineno-7-6" name = "__codelineno-7-6" href = "#__codelineno-7-6" > < / a > < span class = "cm" > * 多行< / span >
< a id = "__codelineno-7-7" name = "__codelineno-7-7" href = "#__codelineno-7-7" > < / a > < span class = "cm" > * 注释< / span >
< a id = "__codelineno-7-8" name = "__codelineno-7-8" href = "#__codelineno-7-8" > < / a > < span class = "cm" > */< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-8-1" name = "__codelineno-8-1" href = "#__codelineno-8-1" > < / a > < span class = "cm" > /* 标题注释，用于标注函数、类、测试样例等 */< / span >
< a id = "__codelineno-8-2" name = "__codelineno-8-2" href = "#__codelineno-8-2" > < / a >
< a id = "__codelineno-8-3" name = "__codelineno-8-3" href = "#__codelineno-8-3" > < / a > < span class = "c1" > // 内容注释，用于详解代码< / span >
< a id = "__codelineno-8-4" name = "__codelineno-8-4" href = "#__codelineno-8-4" > < / a >
< a id = "__codelineno-8-5" name = "__codelineno-8-5" href = "#__codelineno-8-5" > < / a > < span class = "cm" > /**< / span >
< a id = "__codelineno-8-6" name = "__codelineno-8-6" href = "#__codelineno-8-6" > < / a > < span class = "cm" > * 多行< / span >
< a id = "__codelineno-8-7" name = "__codelineno-8-7" href = "#__codelineno-8-7" > < / a > < span class = "cm" > * 注释< / span >
< a id = "__codelineno-8-8" name = "__codelineno-8-8" href = "#__codelineno-8-8" > < / a > < span class = "cm" > */< / span >
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-9-1" name = "__codelineno-9-1" href = "#__codelineno-9-1" > < / a > < span class = "c1" > // 标题注释，用于标注函数、类、测试样例等< / span >
< a id = "__codelineno-9-2" name = "__codelineno-9-2" href = "#__codelineno-9-2" > < / a >
< a id = "__codelineno-9-3" name = "__codelineno-9-3" href = "#__codelineno-9-3" > < / a > < span class = "c1" > // 内容注释，用于详解代码< / span >
< a id = "__codelineno-9-4" name = "__codelineno-9-4" href = "#__codelineno-9-4" > < / a >
< a id = "__codelineno-9-5" name = "__codelineno-9-5" href = "#__codelineno-9-5" > < / a > < span class = "c1" > // 多行< / span >
< a id = "__codelineno-9-6" name = "__codelineno-9-6" href = "#__codelineno-9-6" > < / a > < span class = "c1" > // 注释< / span >
< / code > < / pre > < / div >
< / div >
< / div >
< / div >
< h2 id = "015" > 0.1.5. 本书特点 *< a class = "headerlink" href = "#015" title = "Permanent link" > ¶ < / a > < / h2 >
< details class = "abstract" >
< summary > 默认折叠，可以跳过< / summary >
< p > < strong > 以实践为主< / strong > 。我们知道，学习英语期间光啃书本是远远不够的，需要多听、多说、多写，在实践中培养语感、积累经验。编程语言也是一门语言，因此学习方法也应是类似的，需要多看优秀代码、多敲键盘、多思考代码逻辑。< / p >
< p > 本书的理论部分占少量篇幅，主要分为两类：一是基础且必要的概念知识，以培养读者对于算法的感性认识；二是重要的分类、对比或总结，这是为了帮助你站在更高视角俯瞰各个知识点，形成连点成面的效果。< / p >
< p > 实践部分主要由示例和代码组成。代码配有简要注释，复杂示例会尽可能地使用视觉化的形式呈现。我强烈建议读者对照着代码自己敲一遍，如果时间有限，也至少逐行读、复制并运行一遍，配合着讲解将代码吃透。< / p >
< p > < strong > 视觉化学习< / strong > 。信息时代以来，视觉化的脚步从未停止。媒体形式经历了文字短信、图文 Email 、动图、短（长）视频、交互式 Web 、3D 游戏等演变过程， ， < / p >
< p > 近两年，短视频成为最受欢迎的信息媒介，可以在短时间内将高密度的信息“灌”给我们，有着极其舒适的观看体验。阅读则不然，读者与书本之间天然存在一种“疏离感”，我们看书会累、会走神、会停下来想其他事、会划下喜欢的句子、会思考某一片段的含义，这种疏离感给了读者与书本之间对话的可能，拓宽了想象空间。< / p >
< p > 本书作为一本入门教材，希望可以保有书本的“慢节奏”，但也会避免与读者产生过多“疏离感”，而是努力将知识完整清晰地推送到你聪明的小脑袋瓜中。我将采用视觉化的方式（例如配图、动画），尽我可能清晰易懂地讲解复杂概念和抽象示例。< / p >
< p > < strong > 内容精简化< / strong > 。大多数的经典教科书，会把每个主题都讲的很透彻。虽然透彻性正是其获得读者青睐的原因，但对于想要快速入门的初学者来说，这些教材的实用性不足。本书会避免引入非必要的概念、名词、定义等，也避免展开不必要的理论分析，毕竟这不是一本真正意义上的教材，主要任务是尽快地带领读者入门。< / p >
< p > 引入一些生活案例或趣味内容，非常适合作为知识点的引子或者解释的补充，但当融入过多额外元素时，内容会稍显冗长，也许反而使读者容易迷失、抓不住重点，这也是本书需要避免的。< / p >
< p > 敲代码如同写字，“美”是统一的追求。本书力求美观的代码，保证规范的变量命名、统一的空格与换行、对齐的缩进、整齐的注释等。< / p >
< / details >
< h2 id = "016" > 0.1.6. 致谢< a class = "headerlink" href = "#016" title = "Permanent link" > ¶ < / a > < / h2 >
< p > 本书的成书过程中，我获得了许多人的帮助，包括但不限于：< / p >
< ul >
< li > 感谢我的女朋友泡泡担任本书的首位读者，从算法小白的视角为本书的写作提出了许多建议，使这本书更加适合算法初学者来阅读。< / li >
< li > 感谢腾宝、琦宝、飞宝为本书起了个响当当的名字，好听又有梗，直接唤起我最初敲下第一行代码 "Hello, World!" 的回忆。< / li >
< li > 感谢我的导师李博，在小酌畅谈时您告诉我“觉得应该做就去做”，坚定了我写这本书的决心。< / li >
< li > 感谢苏潼为本书设计了封面和 LOGO ，我有些强迫症，前后多次修改，谢谢你的耐心。< / li >
< li > 感谢 @squidfunk 给出的写作排版建议，以及优秀开源项目 < a href = "https://github.com/squidfunk/mkdocs-material/tree/master" > Material-for-MkDocs< / a > 。< / li >
< / ul >
< p > 本书鼓励“手脑并用”的学习方式，在这点上受到了《动手学深度学习》很大影响，也在此向各位同学强烈推荐这本著作，包括< a href = "https://github.com/d2l-ai/d2l-zh" > 中文版< / a > 、< a href = "https://github.com/d2l-ai/d2l-en" > 英文版< / a > 、< a href = "https://space.bilibili.com/1567748478" > 李沐老师 bilibili 主页< / a > 。< / p >
< p > 在写作过程中，我阅读了许多与数据结构与算法的书籍与教材，这些著作为本书作出了很好的榜样，保证了本书内容的正确性与质量，感谢前辈们的精彩创作！< / p >
< p > 感谢父母，你们一贯的支持与鼓励给了我自由度来做这些有趣的事。< / p >
< h2 id = "017" > 0.1.7. 作者简介< a class = "headerlink" href = "#017" title = "Permanent link" > ¶ < / a > < / h2 >
< p > < img alt = "profile" class = "center" src = "../about_the_book.assets/profile.png" / > < / p >
< h2 align = "center" > Krahets < / h2 >
< h5 align = "center" > 大厂高级算法工程师、算法爱好者 < / h5 >
< p align = "center" > 力扣（ ） < / p >
< p align = "center" > 分享近百道算法题解，累积回复数千读者的问题 < / p >
< p align = "center" > 发表的 LeetBook《图解算法数据结构》已订阅 22 万本 < / p >
< h2 id = "__comments" > 评论< / h2 >
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