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数组与链表
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哈希表
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树
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堆
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图
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分治
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回溯
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贪心
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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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开始阅读
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|
||
<img alt="" src="https://img.shields.io/badge/JS-snow?logo=javascript&logoColor=E9CE30"/>
|
||
<img alt="" src="https://img.shields.io/badge/Go-snow?logo=go&logoColor=00ADD8"/>
|
||
<img alt="" src="https://img.shields.io/badge/Swift-snow?logo=swift&logoColor=F05138"/>
|
||
<img alt="" src="https://img.shields.io/badge/Rust-snow?logo=rust&logoColor=000000"/>
|
||
<img alt="" src="https://img.shields.io/badge/Ruby-snow?logo=ruby&logoColor=CC342D"/>
|
||
<img alt="" src="https://img.shields.io/badge/Kotlin-snow?logo=kotlin&logoColor=7F52FF"/>
|
||
<img alt="" src="https://img.shields.io/badge/TS-snow?logo=typescript&logoColor=3178C6"/>
|
||
<img alt="" src="https://img.shields.io/badge/Dart-snow?logo=dart&logoColor=0175C2"/>
|
||
<img alt="" src="https://img.shields.io/badge/Zig-snow?logo=zig&logoColor=F7A41D"/>
|
||
</div>
|
||
<p style="margin-top: 2em;">
|
||
500 幅动画图解、14 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
|
||
</p>
|
||
</div>
|
||
</section>
|
||
<section class="home-div" data-md-color-primary="white" data-md-color-scheme="default">
|
||
<div class="section-content">
|
||
<div class="reading-media">
|
||
<div class="media-block">
|
||
<a href="chapter_paperbook/">
|
||
<div style="height: 8.17%;">
|
||
</div>
|
||
<img alt="Cover" class="device-on-hover" src="assets/hero/cover_render.png" style="height: 66.83%;"/>
|
||
<div class="text-button">
|
||
<span>
|
||
获取纸质书
|
||
</span>
|
||
<svg viewbox="0 0 320 512" xmlns="http://www.w3.org/2000/svg">
|
||
<path d="M278.6 233.4c12.5 12.5 12.5 32.8 0 45.3l-160 160c-12.5 12.5-32.8 12.5-45.3 0s-12.5-32.8 0-45.3L210.7 256 73.4 118.6c-12.5-12.5-12.5-32.8 0-45.3s32.8-12.5 45.3 0l160 160z">
|
||
</path>
|
||
</svg>
|
||
</div>
|
||
</a>
|
||
</div>
|
||
<div class="media-block">
|
||
<a href="chapter_hello_algo/">
|
||
<div style="height: 4.34%;">
|
||
</div>
|
||
<img alt="" class="device-on-hover" src="assets/hero/web_mac_iphone.png" style="height: 66.31%;"/>
|
||
<div style="height: 4.34%;">
|
||
</div>
|
||
<div class="text-button">
|
||
<span>
|
||
在线阅读
|
||
</span>
|
||
<svg viewbox="0 0 320 512" xmlns="http://www.w3.org/2000/svg">
|
||
<path d="M278.6 233.4c12.5 12.5 12.5 32.8 0 45.3l-160 160c-12.5 12.5-32.8 12.5-45.3 0s-12.5-32.8 0-45.3L210.7 256 73.4 118.6c-12.5-12.5-12.5-32.8 0-45.3s32.8-12.5 45.3 0l160 160z">
|
||
</path>
|
||
</svg>
|
||
</div>
|
||
</a>
|
||
</div>
|
||
<div class="media-block">
|
||
<a href="https://github.com/krahets/hello-algo/releases">
|
||
<img alt="" class="device-on-hover" src="assets/hero/pdf_ipad.png" style="height: 75%;"/>
|
||
<div class="text-button">
|
||
<span>
|
||
下载 PDF
|
||
</span>
|
||
<svg viewbox="0 0 320 512" xmlns="http://www.w3.org/2000/svg">
|
||
<path d="M278.6 233.4c12.5 12.5 12.5 32.8 0 45.3l-160 160c-12.5 12.5-32.8 12.5-45.3 0s-12.5-32.8 0-45.3L210.7 256 73.4 118.6c-12.5-12.5-12.5-32.8 0-45.3s32.8-12.5 45.3 0l160 160z">
|
||
</path>
|
||
</svg>
|
||
</div>
|
||
</a>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</section>
|
||
<section class="home-div" data-md-color-primary="grey" data-md-color-scheme="slate">
|
||
<div class="section-content">
|
||
<h3 style="text-align: center; margin: 1em auto;">
|
||
推荐语
|
||
</h3>
|
||
<div class="intro-container" style="margin: 0 auto;">
|
||
<div class="intro-text endor-text">
|
||
<p style="margin-bottom: 0;">
|
||
“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 style="font-weight: bold;">
|
||
—— 邓俊辉，清华大学计算机系教授
|
||
</p>
|
||
</div>
|
||
<div class="intro-text endor-text">
|
||
<p style="margin-bottom: 0;">
|
||
“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 style="font-weight: bold;">
|
||
—— 李沐，亚马逊资深首席科学家
|
||
</p>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
</section>
|
||
<section class="home-div" data-md-color-primary="white" data-md-color-scheme="default">
|
||
<div class="section-content">
|
||
<div class="intro-container">
|
||
<div class="intro-text">
|
||
<div>
|
||
<div style="display: flex; align-items: center;">
|
||
<svg height="1.5em" viewbox="0 0 640 512" width="1.5em" xmlns="http://www.w3.org/2000/svg">
|
||
<path d="M256 0H576c35.3 0 64 28.7 64 64V288c0 35.3-28.7 64-64 64H256c-35.3 0-64-28.7-64-64V64c0-35.3 28.7-64 64-64zM476 106.7C471.5 100 464 96 456 96s-15.5 4-20 10.7l-56 84L362.7 169c-4.6-5.7-11.5-9-18.7-9s-14.2 3.3-18.7 9l-64 80c-5.8 7.2-6.9 17.1-2.9 25.4s12.4 13.6 21.6 13.6h80 48H552c8.9 0 17-4.9 21.2-12.7s3.7-17.3-1.2-24.6l-96-144zM336 96a32 32 0 1 0 -64 0 32 32 0 1 0 64 0zM64 128h96V384v32c0 17.7 14.3 32 32 32H320c17.7 0 32-14.3 32-32V384H512v64c0 35.3-28.7 64-64 64H64c-35.3 0-64-28.7-64-64V192c0-35.3 28.7-64 64-64zm8 64c-8.8 0-16 7.2-16 16v16c0 8.8 7.2 16 16 16H88c8.8 0 16-7.2 16-16V208c0-8.8-7.2-16-16-16H72zm0 104c-8.8 0-16 7.2-16 16v16c0 8.8 7.2 16 16 16H88c8.8 0 16-7.2 16-16V312c0-8.8-7.2-16-16-16H72zm0 104c-8.8 0-16 7.2-16 16v16c0 8.8 7.2 16 16 16H88c8.8 0 16-7.2 16-16V416c0-8.8-7.2-16-16-16H72zm336 16v16c0 8.8 7.2 16 16 16h16c8.8 0 16-7.2 16-16V416c0-8.8-7.2-16-16-16H424c-8.8 0-16 7.2-16 16z" fill="var(--md-primary-bg-color)">
|
||
</path>
|
||
</svg>
|
||
<h3 style="margin-left: 0.5em;">
|
||
动画图解
|
||
</h3>
|
||
</div>
|
||
<p style="margin: 0;">
|
||
内容清晰易懂，学习曲线平滑
|
||
</p>
|
||
<p class="intro-quote">
|
||
"A picture is worth a thousand words."
|
||
<br/>
|
||
“一图胜千言”
|
||
</p>
|
||
</div>
|
||
</div>
|
||
<img alt="Animation example" class="intro-image" src="index.assets/animation.gif"/>
|
||
</div>
|
||
<div class="intro-container">
|
||
<img alt="Running code example" class="intro-image" src="index.assets/running_code.gif"/>
|
||
<div class="intro-text">
|
||
<div>
|
||
<div style="display: flex; align-items: center;">
|
||
<svg height="1.5em" viewbox="0 0 640 512" width="1.5em" xmlns="http://www.w3.org/2000/svg">
|
||
<path d="M392.8 1.2c-17-4.9-34.7 5-39.6 22l-128 448c-4.9 17 5 34.7 22 39.6s34.7-5 39.6-22l128-448c4.9-17-5-34.7-22-39.6zm80.6 120.1c-12.5 12.5-12.5 32.8 0 45.3L562.7 256l-89.4 89.4c-12.5 12.5-12.5 32.8 0 45.3s32.8 12.5 45.3 0l112-112c12.5-12.5 12.5-32.8 0-45.3l-112-112c-12.5-12.5-32.8-12.5-45.3 0zm-306.7 0c-12.5-12.5-32.8-12.5-45.3 0l-112 112c-12.5 12.5-12.5 32.8 0 45.3l112 112c12.5 12.5 32.8 12.5 45.3 0s12.5-32.8 0-45.3L77.3 256l89.4-89.4c12.5-12.5 12.5-32.8 0-45.3z" fill="var(--md-primary-bg-color)">
|
||
</path>
|
||
</svg>
|
||
<h3 style="margin-left: 0.5em;">
|
||
一键运行
|
||
</h3>
|
||
</div>
|
||
<p style="margin: 0;">
|
||
十余种编程语言，代码可视化运行
|
||
</p>
|
||
<p class="intro-quote">
|
||
"Talk is cheap. Show me the code."
|
||
<br/>
|
||
“少吹牛，看代码”
|
||
</p>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div class="intro-container">
|
||
<div class="intro-text">
|
||
<div>
|
||
<div style="display: flex; align-items: center;">
|
||
<svg height="1.5em" viewbox="0 0 640 512" width="1.5em" xmlns="http://www.w3.org/2000/svg">
|
||
<path d="M88.2 309.1c9.8-18.3 6.8-40.8-7.5-55.8C59.4 230.9 48 204 48 176c0-63.5 63.8-128 160-128s160 64.5 160 128s-63.8 128-160 128c-13.1 0-25.8-1.3-37.8-3.6c-10.4-2-21.2-.6-30.7 4.2c-4.1 2.1-8.3 4.1-12.6 6c-16 7.2-32.9 13.5-49.9 18c2.8-4.6 5.4-9.1 7.9-13.6c1.1-1.9 2.2-3.9 3.2-5.9zM0 176c0 41.8 17.2 80.1 45.9 110.3c-.9 1.7-1.9 3.5-2.8 5.1c-10.3 18.4-22.3 36.5-36.6 52.1c-6.6 7-8.3 17.2-4.6 25.9C5.8 378.3 14.4 384 24 384c43 0 86.5-13.3 122.7-29.7c4.8-2.2 9.6-4.5 14.2-6.8c15.1 3 30.9 4.5 47.1 4.5c114.9 0 208-78.8 208-176S322.9 0 208 0S0 78.8 0 176zM432 480c16.2 0 31.9-1.6 47.1-4.5c4.6 2.3 9.4 4.6 14.2 6.8C529.5 498.7 573 512 616 512c9.6 0 18.2-5.7 22-14.5c3.8-8.8 2-19-4.6-25.9c-14.2-15.6-26.2-33.7-36.6-52.1c-.9-1.7-1.9-3.4-2.8-5.1C622.8 384.1 640 345.8 640 304c0-94.4-87.9-171.5-198.2-175.8c4.1 15.2 6.2 31.2 6.2 47.8l0 .6c87.2 6.7 144 67.5 144 127.4c0 28-11.4 54.9-32.7 77.2c-14.3 15-17.3 37.6-7.5 55.8c1.1 2 2.2 4 3.2 5.9c2.5 4.5 5.2 9 7.9 13.6c-17-4.5-33.9-10.7-49.9-18c-4.3-1.9-8.5-3.9-12.6-6c-9.5-4.8-20.3-6.2-30.7-4.2c-12.1 2.4-24.7 3.6-37.8 3.6c-61.7 0-110-26.5-136.8-62.3c-16 5.4-32.8 9.4-50 11.8C279 439.8 350 480 432 480z" fill="var(--md-primary-bg-color)">
|
||
</path>
|
||
</svg>
|
||
<h3 style="margin-left: 0.5em;">
|
||
互助学习
|
||
</h3>
|
||
</div>
|
||
<p style="margin: 0;">
|
||
欢迎讨论与提问，读者间携手共进
|
||
</p>
|
||
<p class="intro-quote">
|
||
"Learning by teaching."
|
||
<br/>
|
||
“教学相长”
|
||
</p>
|
||
</div>
|
||
</div>
|
||
<img alt="Comments example" class="intro-image" src="index.assets/comment.gif"/>
|
||
</div>
|
||
</div>
|
||
</section>
|
||
<section class="home-div" data-md-color-primary="grey" data-md-color-scheme="slate">
|
||
<div class="section-content" style="max-width: 90vw;">
|
||
<div style="margin: 2em auto;">
|
||
<h3>
|
||
作者
|
||
</h3>
|
||
<div class="profile-div">
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/krahets">
|
||
<img alt="Author: yudongjin" class="profile-img" src="assets/avatar/avatar_yudongjin.jpg"/>
|
||
<br/>
|
||
<b>
|
||
靳宇栋（@krahets）
|
||
</b>
|
||
</a>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div style="margin: 2em auto;">
|
||
<h3>
|
||
代码审阅者
|
||
</h3>
|
||
<div class="profile-div">
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/coderonion">
|
||
<img alt="Reviewer: coderonion" class="profile-img" src="assets/avatar/avatar_coderonion.jpg"/>
|
||
<br/>
|
||
<b>
|
||
coderonion
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
Zig, Rust
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/curtishd">
|
||
<img alt="Reviewer: curtishd" class="profile-img" src="assets/avatar/avatar_curtishd.jpg"/>
|
||
<br/>
|
||
<b>
|
||
curtishd
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
Kotlin
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/Gonglja">
|
||
<img alt="Reviewer: Gonglja" class="profile-img" src="assets/avatar/avatar_Gonglja.jpg"/>
|
||
<br/>
|
||
<b>
|
||
Gonglja
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
C, C++
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/gvenusleo">
|
||
<img alt="Reviewer: gvenusleo" class="profile-img" src="assets/avatar/avatar_gvenusleo.jpg"/>
|
||
<br/>
|
||
<b>
|
||
gvenusleo
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
Dart
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/hpstory">
|
||
<img alt="Reviewer: hpstory" class="profile-img" src="assets/avatar/avatar_hpstory.jpg"/>
|
||
<br/>
|
||
<b>
|
||
hpstory
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
C#
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/justin-tse">
|
||
<img alt="Reviewer: justin-tse" class="profile-img" src="assets/avatar/avatar_justin-tse.jpg"/>
|
||
<br/>
|
||
<b>
|
||
justin-tse
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
JS, TS
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/khoaxuantu">
|
||
<img alt="Reviewer: khoaxuantu" class="profile-img" src="assets/avatar/avatar_khoaxuantu.jpg"/>
|
||
<br/>
|
||
<b>
|
||
khoaxuantu
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
Ruby
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/krahets">
|
||
<img alt="Reviewer: krahets" class="profile-img" src="assets/avatar/avatar_krahets.jpg"/>
|
||
<br/>
|
||
<b>
|
||
krahets
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
Python, Java
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/night-cruise">
|
||
<img alt="Reviewer: night-cruise" class="profile-img" src="assets/avatar/avatar_night-cruise.jpg"/>
|
||
<br/>
|
||
<b>
|
||
night-cruise
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
Rust
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<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>
|
||
<div class="profile-cell">
|
||
<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 class="profile-cell">
|
||
<a href="https://github.com/rongyi">
|
||
<img alt="Reviewer: rongyi" class="profile-img" src="../assets/avatar/avatar_rongyi.jpg"/>
|
||
<br/>
|
||
<b>
|
||
rongyi
|
||
</b>
|
||
<br/>
|
||
<sub>
|
||
Rust
|
||
</sub>
|
||
</a>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<div style="margin: 2em auto;">
|
||
<h3>
|
||
贡献者
|
||
</h3>
|
||
<p>
|
||
本书在开源社区一百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">
|
||
<img alt="Contributors" src="https://contrib.rocks/image?repo=krahets/hello-algo&max=300&columns=16" style="width: 100%; max-width: 38.5em;"/>
|
||
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第 2 章 复杂度分析
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3.1 数据结构分类
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3.3 数字编码 *
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第 4 章 数组与链表
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6.1 哈希表
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第 7 章 树
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第 7 章 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 二叉树数组表示
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|
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<a class="md-nav__link" href="chapter_tree/binary_search_tree/">
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7.4 二叉搜索树
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|
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7.5 AVL 树 *
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|
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7.6 小结
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第 8 章 堆
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第 8 章 堆
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8.1 堆
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<li class="md-nav__item">
|
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<a class="md-nav__link" href="chapter_heap/build_heap/">
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8.2 建堆操作
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|
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8.3 Top-k 问题
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<li class="md-nav__item">
|
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<a class="md-nav__link" href="chapter_heap/summary/">
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8.4 小结
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第 9 章 图
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第 9 章 图
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9.1 图
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|
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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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第 10 章 搜索
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第 10 章 搜索
|
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|
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<a class="md-nav__link" href="chapter_searching/binary_search/">
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<span class="md-ellipsis">
|
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10.1 二分查找
|
||
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|
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</a>
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|
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<li class="md-nav__item">
|
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<a class="md-nav__link" href="chapter_searching/binary_search_insertion/">
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<span class="md-ellipsis">
|
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10.2 二分查找插入点
|
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</span>
|
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</a>
|
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|
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<li class="md-nav__item">
|
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<a class="md-nav__link" href="chapter_searching/binary_search_edge/">
|
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<span class="md-ellipsis">
|
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10.3 二分查找边界
|
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|
||
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|
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|
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<li class="md-nav__item">
|
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<a class="md-nav__link" href="chapter_searching/replace_linear_by_hashing/">
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<span class="md-ellipsis">
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10.4 哈希优化策略
|
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|
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|
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<a class="md-nav__link" href="chapter_searching/searching_algorithm_revisited/">
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<span class="md-ellipsis">
|
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10.5 重识搜索算法
|
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</span>
|
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|
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|
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<li class="md-nav__item">
|
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<a class="md-nav__link" href="chapter_searching/summary/">
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<span class="md-ellipsis">
|
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10.6 小结
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</span>
|
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</a>
|
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第 11 章 排序
|
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第 11 章 排序
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<span class="md-ellipsis">
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11.1 排序算法
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|
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11.2 选择排序
|
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|
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<a class="md-nav__link" href="chapter_sorting/bubble_sort/">
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<span class="md-ellipsis">
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11.3 冒泡排序
|
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|
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|
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11.4 插入排序
|
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|
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|
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<a class="md-nav__link" href="chapter_sorting/quick_sort/">
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<span class="md-ellipsis">
|
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11.5 快速排序
|
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</span>
|
||
</a>
|
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</li>
|
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<li class="md-nav__item">
|
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<a class="md-nav__link" href="chapter_sorting/merge_sort/">
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<span class="md-ellipsis">
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11.6 归并排序
|
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|
||
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|
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<a class="md-nav__link" href="chapter_sorting/heap_sort/">
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<span class="md-ellipsis">
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11.7 堆排序
|
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</span>
|
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</a>
|
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|
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|
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<a class="md-nav__link" href="chapter_sorting/bucket_sort/">
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<span class="md-ellipsis">
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11.8 桶排序
|
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</span>
|
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</a>
|
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|
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|
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<a class="md-nav__link" href="chapter_sorting/counting_sort/">
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<span class="md-ellipsis">
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11.9 计数排序
|
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|
||
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|
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|
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<li class="md-nav__item">
|
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<a class="md-nav__link" href="chapter_sorting/radix_sort/">
|
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<span class="md-ellipsis">
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11.10 基数排序
|
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|
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</a>
|
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|
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|
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<a class="md-nav__link" href="chapter_sorting/summary/">
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<span class="md-ellipsis">
|
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11.11 小结
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|
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|
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|
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|
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第 12 章 分治
|
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|
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第 12 章 分治
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<span class="md-ellipsis">
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12.1 分治算法
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<a class="md-nav__link" href="chapter_divide_and_conquer/binary_search_recur/">
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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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|
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|
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<a class="md-nav__link" href="chapter_divide_and_conquer/summary/">
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<span class="md-ellipsis">
|
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12.5 小结
|
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</span>
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第 13 章 回溯
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第 13 章 回溯
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|
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<span class="md-ellipsis">
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13.1 回溯算法
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</a>
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<li class="md-nav__item">
|
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<a class="md-nav__link" href="chapter_backtracking/permutations_problem/">
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<span class="md-ellipsis">
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13.2 全排列问题
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|
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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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13.5 小结
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第 14 章 动态规划
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第 14 章 动态规划
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14.1 初探动态规划
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14.2 DP 问题特性
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</a>
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|
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<a class="md-nav__link" href="chapter_dynamic_programming/dp_solution_pipeline/">
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14.3 DP 解题思路
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<a class="md-nav__link" href="chapter_dynamic_programming/knapsack_problem/">
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14.4 0-1 背包问题
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<a class="md-nav__link" href="chapter_dynamic_programming/unbounded_knapsack_problem/">
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14.5 完全背包问题
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14.6 编辑距离问题
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14.7 小结
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第 15 章 贪心
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15.1 贪心算法
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15.2 分数背包问题
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<span class="md-ellipsis">
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