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3926 lines
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102 KiB
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<meta name="description" content="动画图解、一键运行的数据结构与算法教程">
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<meta name="author" content="Krahets">
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<link rel="canonical" href="https://www.hello-algo.com/">
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<style>:root{--md-text-font:"Noto Sans SC";--md-code-font:"Fira Code"}</style>
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<header class="md-header md-header--shadow" data-md-component="header" data-md-color-scheme="slate" data-md-color-primary="grey" style="background-color: var(--md-default-bg-color); color: var(--md-default-fg-color);">
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<span class="md-ellipsis">
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Hello 算法
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Home
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path fill="var(--md-default-fg-color)" d="M9.5 3A6.5 6.5 0 0 1 16 9.5c0 1.61-.59 3.09-1.56 4.23l.27.27h.79l5 5-1.5 1.5-5-5v-.79l-.27-.27A6.516 6.516 0 0 1 9.5 16 6.5 6.5 0 0 1 3 9.5 6.5 6.5 0 0 1 9.5 3m0 2C7 5 5 7 5 9.5S7 14 9.5 14 14 12 14 9.5 12 5 9.5 5Z"/></svg>
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M18 16.08c-.76 0-1.44.3-1.96.77L8.91 12.7c.05-.23.09-.46.09-.7 0-.24-.04-.47-.09-.7l7.05-4.11c.54.5 1.25.81 2.04.81a3 3 0 0 0 3-3 3 3 0 0 0-3-3 3 3 0 0 0-3 3c0 .24.04.47.09.7L8.04 9.81C7.5 9.31 6.79 9 6 9a3 3 0 0 0-3 3 3 3 0 0 0 3 3c.79 0 1.5-.31 2.04-.81l7.12 4.15c-.05.21-.08.43-.08.66 0 1.61 1.31 2.91 2.92 2.91 1.61 0 2.92-1.3 2.92-2.91A2.92 2.92 0 0 0 18 16.08Z"/></svg>
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<div class="md-search__suggest" data-md-component="search-suggest"></div>
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<div class="md-search__scrollwrap" data-md-scrollfix>
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<div class="md-search-result" data-md-component="search-result">
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<div class="md-search-result__meta">
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正在初始化搜索引擎
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<ol class="md-search-result__list" role="presentation"></ol>
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</div>
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<div class="md-header__source">
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<a href="https://github.com/krahets/hello-algo" title="前往仓库" class="md-source" data-md-component="source">
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<div class="md-source__icon md-icon">
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 496 512"><!--! Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2023 Fonticons, Inc.--><path d="M165.9 397.4c0 2-2.3 3.6-5.2 3.6-3.3.3-5.6-1.3-5.6-3.6 0-2 2.3-3.6 5.2-3.6 3-.3 5.6 1.3 5.6 3.6zm-31.1-4.5c-.7 2 1.3 4.3 4.3 4.9 2.6 1 5.6 0 6.2-2s-1.3-4.3-4.3-5.2c-2.6-.7-5.5.3-6.2 2.3zm44.2-1.7c-2.9.7-4.9 2.6-4.6 4.9.3 2 2.9 3.3 5.9 2.6 2.9-.7 4.9-2.6 4.6-4.6-.3-1.9-3-3.2-5.9-2.9zM244.8 8C106.1 8 0 113.3 0 252c0 110.9 69.8 205.8 169.5 239.2 12.8 2.3 17.3-5.6 17.3-12.1 0-6.2-.3-40.4-.3-61.4 0 0-70 15-84.7-29.8 0 0-11.4-29.1-27.8-36.6 0 0-22.9-15.7 1.6-15.4 0 0 24.9 2 38.6 25.8 21.9 38.6 58.6 27.5 72.9 20.9 2.3-16 8.8-27.1 16-33.7-55.9-6.2-112.3-14.3-112.3-110.5 0-27.5 7.6-41.3 23.6-58.9-2.6-6.5-11.1-33.3 2.6-67.9 20.9-6.5 69 27 69 27 20-5.6 41.5-8.5 62.8-8.5s42.8 2.9 62.8 8.5c0 0 48.1-33.6 69-27 13.7 34.7 5.2 61.4 2.6 67.9 16 17.7 25.8 31.5 25.8 58.9 0 96.5-58.9 104.2-114.8 110.5 9.2 7.9 17 22.9 17 46.4 0 33.7-.3 75.4-.3 83.6 0 6.5 4.6 14.4 17.3 12.1C428.2 457.8 496 362.9 496 252 496 113.3 383.5 8 244.8 8zM97.2 352.9c-1.3 1-1 3.3.7 5.2 1.6 1.6 3.9 2.3 5.2 1 1.3-1 1-3.3-.7-5.2-1.6-1.6-3.9-2.3-5.2-1zm-10.8-8.1c-.7 1.3.3 2.9 2.3 3.9 1.6 1 3.6.7 4.3-.7.7-1.3-.3-2.9-2.3-3.9-2-.6-3.6-.3-4.3.7zm32.4 35.6c-1.6 1.3-1 4.3 1.3 6.2 2.3 2.3 5.2 2.6 6.5 1 1.3-1.3.7-4.3-1.3-6.2-2.2-2.3-5.2-2.6-6.5-1zm-11.4-14.7c-1.6 1-1.6 3.6 0 5.9 1.6 2.3 4.3 3.3 5.6 2.3 1.6-1.3 1.6-3.9 0-6.2-1.4-2.3-4-3.3-5.6-2z"/></svg>
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<div class="md-source__repository">
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krahets/hello-algo
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</div>
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</a>
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</div>
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</nav>
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</header>
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<div class="md-container" data-md-component="container">
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<!--Section: hero -->
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<section data-md-color-scheme="slate" data-md-color-primary="grey" class="home-div"
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style="height: min(100vh, 120vw); position: relative; margin-top:-2.4rem; padding: 0; overflow: hidden;">
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<!-- background -->
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<img src="assets/hero/universe_bg.png" class="hero-bg">
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<!-- heading and buttons -->
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<div style="width: 100%; position: absolute; transform: translateX(-50%); left: 49%; bottom: min(2vh, 3vw);">
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<img style="height: min(6vh, 8vw);"
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src="https://readme-typing-svg.demolab.com/?font=Noto+Sans+SC&weight=400&size=35&duration=3500&pause=2000&color=FFF¢er=true&vCenter=true&random=false&width=200&lines=Hello%2C+%E7%AE%97%E6%B3%95+!"
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|
||
<p style="color: #fff; margin-top: min(0.5vh, 1vw); margin-bottom: min(2vh, 3vw);">
|
||
动画图解、一键运行的数据结构与算法教程
|
||
</p>
|
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<div>
|
||
<a href="https://www.hello-algo.com/chapter_preface/" class="rounded-button hero-btn">
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<svg xmlns="http://www.w3.org/2000/svg" height="16px" width="15.5px"
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viewBox="0 0 576 512"><!--!Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2023 Fonticons, Inc.-->
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<path
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</path>
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</svg>
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开始阅读
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</a>
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<a href="https://github.com/krahets/hello-algo" class="rounded-button hero-btn">
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viewBox="0 0 496 512"><!--!Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2023 Fonticons, Inc.-->
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<path
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d="M165.9 397.4c0 2-2.3 3.6-5.2 3.6-3.3 .3-5.6-1.3-5.6-3.6 0-2 2.3-3.6 5.2-3.6 3-.3 5.6 1.3 5.6 3.6zm-31.1-4.5c-.7 2 1.3 4.3 4.3 4.9 2.6 1 5.6 0 6.2-2s-1.3-4.3-4.3-5.2c-2.6-.7-5.5 .3-6.2 2.3zm44.2-1.7c-2.9 .7-4.9 2.6-4.6 4.9 .3 2 2.9 3.3 5.9 2.6 2.9-.7 4.9-2.6 4.6-4.6-.3-1.9-3-3.2-5.9-2.9zM244.8 8C106.1 8 0 113.3 0 252c0 110.9 69.8 205.8 169.5 239.2 12.8 2.3 17.3-5.6 17.3-12.1 0-6.2-.3-40.4-.3-61.4 0 0-70 15-84.7-29.8 0 0-11.4-29.1-27.8-36.6 0 0-22.9-15.7 1.6-15.4 0 0 24.9 2 38.6 25.8 21.9 38.6 58.6 27.5 72.9 20.9 2.3-16 8.8-27.1 16-33.7-55.9-6.2-112.3-14.3-112.3-110.5 0-27.5 7.6-41.3 23.6-58.9-2.6-6.5-11.1-33.3 2.6-67.9 20.9-6.5 69 27 69 27 20-5.6 41.5-8.5 62.8-8.5s42.8 2.9 62.8 8.5c0 0 48.1-33.6 69-27 13.7 34.7 5.2 61.4 2.6 67.9 16 17.7 25.8 31.5 25.8 58.9 0 96.5-58.9 104.2-114.8 110.5 9.2 7.9 17 22.9 17 46.4 0 33.7-.3 75.4-.3 83.6 0 6.5 4.6 14.4 17.3 12.1C428.2 457.8 496 362.9 496 252 496 113.3 383.5 8 244.8 8zM97.2 352.9c-1.3 1-1 3.3 .7 5.2 1.6 1.6 3.9 2.3 5.2 1 1.3-1 1-3.3-.7-5.2-1.6-1.6-3.9-2.3-5.2-1zm-10.8-8.1c-.7 1.3 .3 2.9 2.3 3.9 1.6 1 3.6 .7 4.3-.7 .7-1.3-.3-2.9-2.3-3.9-2-.6-3.6-.3-4.3 .7zm32.4 35.6c-1.6 1.3-1 4.3 1.3 6.2 2.3 2.3 5.2 2.6 6.5 1 1.3-1.3 .7-4.3-1.3-6.2-2.2-2.3-5.2-2.6-6.5-1zm-11.4-14.7c-1.6 1-1.6 3.6 0 5.9 1.6 2.3 4.3 3.3 5.6 2.3 1.6-1.3 1.6-3.9 0-6.2-1.4-2.3-4-3.3-5.6-2z">
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代码仓库
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<p class="hero-caption" style="left: 27.805%; top: 53.808%;">排序</p>
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<p class="hero-caption" style="left: 30.42%; top: 8.679%;">分治</p>
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<p class="hero-caption" style="left: 3.742%; top: 50.113%;">回溯</p>
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<p class="hero-caption" style="left: 7.561%; top: 75.351%;">动态规划</p>
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<p class="hero-caption" style="left: 20.619%; top: 86.85%;">贪心</p>
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</section>
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<!-- Section: brief introduction -->
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<img src="index.assets/hello_algo_header.png" style="width: 100%; max-width: 39em;">
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</div>
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<div style="margin: 0.5em auto;">
|
||
<img src="https://img.shields.io/badge/Python-snow?logo=python&logoColor=3776AB">
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<img src="https://img.shields.io/badge/C%2B%2B-snow?logo=c%2B%2B&logoColor=00599C">
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<img src="https://img.shields.io/badge/Java-snow?logo=coffeescript&logoColor=FC4C02">
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<img src="https://img.shields.io/badge/C%23-snow?logo=csharp&logoColor=512BD4">
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<img src="https://img.shields.io/badge/Go-snow?logo=go&logoColor=00ADD8">
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<img src="https://img.shields.io/badge/Swift-snow?logo=swift&logoColor=F05138">
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<img src="https://img.shields.io/badge/JavaScript-snow?logo=javascript&logoColor=E9CE30">
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<img src="https://img.shields.io/badge/TypeScript-snow?logo=typescript&logoColor=3178C6">
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<img src="https://img.shields.io/badge/Dart-snow?logo=dart&logoColor=0175C2">
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<img src="https://img.shields.io/badge/Rust-snow?logo=rust&logoColor=000000">
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<img src="https://img.shields.io/badge/C-snow?logo=c&logoColor=A8B9CC">
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<img src="https://img.shields.io/badge/Zig-snow?logo=zig&logoColor=F7A41D">
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||
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||
<p style="margin-top: 2em;">500 幅动画图解、12 种编程语言代码、2000 条社区问答，助你快速入门数据结构与算法</p>
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||
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<div style="height: min(37vh, 33vw); width: min(75vh, 75vw); position: relative; margin: 1em auto;">
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<!-- devices -->
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<img class="device-on-hover" src="assets/hero/web_mac.png" style="height: 88.42%; left: 5%; bottom: 5%;">
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<p style="margin-top: 2em;">提供网页版和 PDF 版，兼容 PC、平板和手机，随时随地阅读</p>
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||
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<!-- Section: endorsements -->
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<section data-md-color-scheme="slate" data-md-color-primary="grey" class="home-div">
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<div class="section-content">
|
||
<h3 style="text-align: center; margin: 1em auto;">推荐语</h3>
|
||
<div class="intro-container" style="margin-bottom: 1em;">
|
||
<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>
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<!-- Section: features -->
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<section data-md-color-scheme="default" data-md-color-primary="white" class="home-div">
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<div class="section-content">
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<div class="intro-container">
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<div class="intro-text">
|
||
<div>
|
||
<div style="display: flex; align-items: center;">
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<svg xmlns="http://www.w3.org/2000/svg" height="1.5em" width="1.5em"
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viewBox="0 0 640 512"><!--!Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2023 Fonticons, Inc.-->
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||
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" />
|
||
</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 class="intro-image" src="index.assets/animation.gif">
|
||
</div>
|
||
|
||
<div class="intro-container">
|
||
<img class="intro-image" src="index.assets/running_code.gif">
|
||
<div class="intro-text">
|
||
<div>
|
||
<div style="display: flex; align-items: center;">
|
||
<svg xmlns="http://www.w3.org/2000/svg" height="1.5em" width="1.5em"
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viewBox="0 0 640 512"><!--!Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2023 Fonticons, Inc.-->
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<path fill="var(--md-primary-bg-color)"
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||
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" />
|
||
</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 xmlns="http://www.w3.org/2000/svg" height="1.5em" width="1.5em"
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viewBox="0 0 640 512"><!--!Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2023 Fonticons, Inc.-->
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<path fill="var(--md-primary-bg-color)"
|
||
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" />
|
||
</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">"Knowledge increases by sharing."</br>“知识在分享中得以增长”</p>
|
||
</div>
|
||
</div>
|
||
<img class="intro-image" src="index.assets/comment.gif">
|
||
</div>
|
||
|
||
</div>
|
||
</section>
|
||
|
||
<!-- Section: contributors -->
|
||
<section data-md-color-scheme="slate" data-md-color-primary="grey" class="home-div">
|
||
<div class="section-content" style="max-width: 90vw;">
|
||
<!-- author -->
|
||
<div style="margin: 2em auto;">
|
||
<h3>作者</h3>
|
||
<div class="profile-div">
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/krahets">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/26993056?v=4" alt="krahets" />
|
||
<br><b>靳宇栋（@krahets）</b>
|
||
</a>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
|
||
<!-- reviewers -->
|
||
<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/codingonion">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/99076655?v=4" alt="codingonion" />
|
||
<br><b>codingonion</b>
|
||
<br><sub>Zig, Rust</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/Gonglja">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/39959756?v=4" alt="Gonglja" />
|
||
<br><b>Gonglja</b>
|
||
<br><sub>C, C++</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/gvenusleo">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/79075347?v=4" alt="gvenusleo" />
|
||
<br><b>gvenusleo</b>
|
||
<br><sub>Dart</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/hpstory">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/33348162?v=4" alt="hpstory" />
|
||
<br><b>hpstory</b>
|
||
<br><sub>C#</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/justin-tse">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/24556310?v=4" alt="justin-tse" />
|
||
<br><b>justin-tse</b>
|
||
<br><sub>JS, TS</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/krahets">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/26993056?v=4" alt="krahets" />
|
||
<br><b>krahets</b>
|
||
<br><sub>Python, Java</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/night-cruise">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/77157236?v=4" alt="night-cruise" />
|
||
<br><b>night-cruise</b>
|
||
<br><sub>Rust</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/nuomi1">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/3739017?v=4" alt="nuomi1" />
|
||
<br><b>nuomi1</b>
|
||
<br><sub>Swift</sub>
|
||
</a>
|
||
</div>
|
||
<div class="profile-cell">
|
||
<a href="https://github.com/Reanon">
|
||
<img class="profile-img" src="https://avatars.githubusercontent.com/u/22005836?v=4" alt="Reanon" />
|
||
<br><b>Reanon</b>
|
||
<br><sub>Go, C</sub>
|
||
</a>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
|
||
<!-- contributors -->
|
||
<div style="margin: 2em auto;">
|
||
<h3>贡献者</h3>
|
||
<p>本书在开源社区 130 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 src="https://contrib.rocks/image?repo=krahets/hello-algo" style="width: 100%; max-width: 38.5em;">
|
||
</a>
|
||
</div>
|
||
</div>
|
||
</section>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<main class="md-main" data-md-component="main">
|
||
<div class="md-main__inner md-grid">
|
||
|
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|
||
|
||
|
||
|
||
<div class="md-sidebar md-sidebar--primary" data-md-component="sidebar" data-md-type="navigation" hidden>
|
||
<div class="md-sidebar__scrollwrap">
|
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<div class="md-sidebar__inner">
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|
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<nav class="md-nav md-nav--primary" aria-label="导航栏" data-md-level="0">
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<a href="." title="Hello 算法" class="md-nav__button md-logo" aria-label="Hello 算法" data-md-component="logo">
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|
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<img src="assets/images/logo.svg" alt="logo">
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</a>
|
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Hello 算法
|
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</label>
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<div class="md-nav__source">
|
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<a href="https://github.com/krahets/hello-algo" title="前往仓库" class="md-source" data-md-component="source">
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 496 512"><!--! Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License) Copyright 2023 Fonticons, Inc.--><path d="M165.9 397.4c0 2-2.3 3.6-5.2 3.6-3.3.3-5.6-1.3-5.6-3.6 0-2 2.3-3.6 5.2-3.6 3-.3 5.6 1.3 5.6 3.6zm-31.1-4.5c-.7 2 1.3 4.3 4.3 4.9 2.6 1 5.6 0 6.2-2s-1.3-4.3-4.3-5.2c-2.6-.7-5.5.3-6.2 2.3zm44.2-1.7c-2.9.7-4.9 2.6-4.6 4.9.3 2 2.9 3.3 5.9 2.6 2.9-.7 4.9-2.6 4.6-4.6-.3-1.9-3-3.2-5.9-2.9zM244.8 8C106.1 8 0 113.3 0 252c0 110.9 69.8 205.8 169.5 239.2 12.8 2.3 17.3-5.6 17.3-12.1 0-6.2-.3-40.4-.3-61.4 0 0-70 15-84.7-29.8 0 0-11.4-29.1-27.8-36.6 0 0-22.9-15.7 1.6-15.4 0 0 24.9 2 38.6 25.8 21.9 38.6 58.6 27.5 72.9 20.9 2.3-16 8.8-27.1 16-33.7-55.9-6.2-112.3-14.3-112.3-110.5 0-27.5 7.6-41.3 23.6-58.9-2.6-6.5-11.1-33.3 2.6-67.9 20.9-6.5 69 27 69 27 20-5.6 41.5-8.5 62.8-8.5s42.8 2.9 62.8 8.5c0 0 48.1-33.6 69-27 13.7 34.7 5.2 61.4 2.6 67.9 16 17.7 25.8 31.5 25.8 58.9 0 96.5-58.9 104.2-114.8 110.5 9.2 7.9 17 22.9 17 46.4 0 33.7-.3 75.4-.3 83.6 0 6.5 4.6 14.4 17.3 12.1C428.2 457.8 496 362.9 496 252 496 113.3 383.5 8 244.8 8zM97.2 352.9c-1.3 1-1 3.3.7 5.2 1.6 1.6 3.9 2.3 5.2 1 1.3-1 1-3.3-.7-5.2-1.6-1.6-3.9-2.3-5.2-1zm-10.8-8.1c-.7 1.3.3 2.9 2.3 3.9 1.6 1 3.6.7 4.3-.7.7-1.3-.3-2.9-2.3-3.9-2-.6-3.6-.3-4.3.7zm32.4 35.6c-1.6 1.3-1 4.3 1.3 6.2 2.3 2.3 5.2 2.6 6.5 1 1.3-1.3.7-4.3-1.3-6.2-2.2-2.3-5.2-2.6-6.5-1zm-11.4-14.7c-1.6 1-1.6 3.6 0 5.9 1.6 2.3 4.3 3.3 5.6 2.3 1.6-1.3 1.6-3.9 0-6.2-1.4-2.3-4-3.3-5.6-2z"/></svg>
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</div>
|
||
<div class="md-source__repository">
|
||
krahets/hello-algo
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</div>
|
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</a>
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</div>
|
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|
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<ul class="md-nav__list" data-md-scrollfix>
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|
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|
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|
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|
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|
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|
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<li class="md-nav__item md-nav__item--nested">
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<div class="md-nav__link md-nav__container">
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<a href="chapter_preface/" class="md-nav__link ">
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M21 4H3a2 2 0 0 0-2 2v13a2 2 0 0 0 2 2h18a2 2 0 0 0 2-2V6a2 2 0 0 0-2-2M3 19V6h8v13H3m18 0h-8V6h8v13m-7-9.5h6V11h-6V9.5m0 2.5h6v1.5h-6V12m0 2.5h6V16h-6v-1.5Z"/></svg>
|
||
|
||
<span class="md-ellipsis">
|
||
第 0 章 前言
|
||
</span>
|
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|
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|
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</a>
|
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|
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|
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<label class="md-nav__link " for="__nav_1" id="__nav_1_label" tabindex="0">
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</div>
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<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_1_label" aria-expanded="false">
|
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<label class="md-nav__title" for="__nav_1">
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<span class="md-nav__icon md-icon"></span>
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第 0 章 前言
|
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</label>
|
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<ul class="md-nav__list" data-md-scrollfix>
|
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<li class="md-nav__item">
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<a href="chapter_preface/about_the_book/" class="md-nav__link">
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<span class="md-ellipsis">
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0.1 关于本书
|
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</span>
|
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|
||
|
||
</a>
|
||
</li>
|
||
|
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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 href="chapter_preface/suggestions/" class="md-nav__link">
|
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|
||
|
||
<span class="md-ellipsis">
|
||
0.2 如何使用本书
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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<li class="md-nav__item">
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<a href="chapter_preface/summary/" class="md-nav__link">
|
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|
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|
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<span class="md-ellipsis">
|
||
0.3 小结
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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</ul>
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</nav>
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</li>
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|
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|
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|
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|
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|
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|
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<li class="md-nav__item md-nav__item--nested">
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<a href="chapter_introduction/" class="md-nav__link ">
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2m0 16H5V5h14v14M6.2 7.7h5v1.5h-5V7.7m6.8 8.1h5v1.5h-5v-1.5m0-2.6h5v1.5h-5v-1.5M8 18h1.5v-2h2v-1.5h-2v-2H8v2H6V16h2v2m6.1-7.1 1.4-1.4 1.4 1.4 1.1-1-1.4-1.4L18 7.1 16.9 6l-1.4 1.4L14.1 6 13 7.1l1.4 1.4L13 9.9l1.1 1Z"/></svg>
|
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|
||
<span class="md-ellipsis">
|
||
第 1 章 初识算法
|
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</span>
|
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|
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|
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</a>
|
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|
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|
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<label class="md-nav__link " for="__nav_2" id="__nav_2_label" tabindex="0">
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<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_2_label" aria-expanded="false">
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<label class="md-nav__title" for="__nav_2">
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<span class="md-nav__icon md-icon"></span>
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第 1 章 初识算法
|
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</label>
|
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<ul class="md-nav__list" data-md-scrollfix>
|
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<li class="md-nav__item">
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<a href="chapter_introduction/algorithms_are_everywhere/" class="md-nav__link">
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|
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|
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<span class="md-ellipsis">
|
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1.1 算法无处不在
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
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|
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|
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<li class="md-nav__item">
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<a href="chapter_introduction/what_is_dsa/" class="md-nav__link">
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|
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<span class="md-ellipsis">
|
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1.2 算法是什么
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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<li class="md-nav__item">
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<a href="chapter_introduction/summary/" class="md-nav__link">
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|
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<span class="md-ellipsis">
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1.3 小结
|
||
</span>
|
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|
||
|
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</a>
|
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</li>
|
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|
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|
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</ul>
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</nav>
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M6 2h12v6l-4 4 4 4v6H6v-6l4-4-4-4V2m10 14.5-4-4-4 4V20h8v-3.5m-4-5 4-4V4H8v3.5l4 4M10 6h4v.75l-2 2-2-2V6Z"/></svg>
|
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<span class="md-ellipsis">
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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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|
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</a>
|
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2.2 迭代与递归
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</a>
|
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2.3 时间复杂度
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|
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2.4 空间复杂度
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</a>
|
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|
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2.5 小结
|
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|
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|
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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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</a>
|
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</li>
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3.2 基本数据类型
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|
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|
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|
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</a>
|
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|
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3.3 数字编码 *
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|
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|
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|
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</a>
|
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</li>
|
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3.4 字符编码 *
|
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|
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|
||
|
||
</a>
|
||
</li>
|
||
|
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3.5 小结
|
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</span>
|
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|
||
|
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<span class="md-ellipsis">
|
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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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|
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|
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</a>
|
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</li>
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4.3 列表
|
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</span>
|
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|
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|
||
</a>
|
||
</li>
|
||
|
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4.4 内存与缓存 *
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|
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|
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|
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|
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<span class="md-status md-status--new" title="最近添加">
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<a href="chapter_array_and_linkedlist/summary/" class="md-nav__link">
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<span class="md-ellipsis">
|
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4.5 小结
|
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</span>
|
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|
||
|
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|
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第 5 章 栈与队列
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5.1 栈
|
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</a>
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5.2 队列
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5.3 双向队列
|
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|
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|
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|
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</a>
|
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</li>
|
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5.4 小结
|
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</span>
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|
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|
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第 6 章 哈希表
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|
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6.1 哈希表
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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|
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|
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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 href="chapter_hashing/hash_collision/" class="md-nav__link">
|
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|
||
|
||
<span class="md-ellipsis">
|
||
6.2 哈希冲突
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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|
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|
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|
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|
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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 href="chapter_hashing/hash_algorithm/" class="md-nav__link">
|
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|
||
|
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<span class="md-ellipsis">
|
||
6.3 哈希算法
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
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|
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|
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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 href="chapter_hashing/summary/" class="md-nav__link">
|
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|
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|
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<span class="md-ellipsis">
|
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6.4 小结
|
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</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
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|
||
|
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|
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|
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</ul>
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|
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<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M19.5 17c-.14 0-.26 0-.39.04L17.5 13.8c.45-.45.75-1.09.75-1.8a2.5 2.5 0 0 0-2.5-2.5c-.14 0-.25 0-.4.04L13.74 6.3c.47-.46.76-1.09.76-1.8a2.5 2.5 0 0 0-5 0c0 .7.29 1.34.76 1.79L8.65 9.54c-.15-.04-.26-.04-.4-.04a2.5 2.5 0 0 0-2.5 2.5c0 .71.29 1.34.75 1.79l-1.61 3.25C4.76 17 4.64 17 4.5 17a2.5 2.5 0 0 0 0 5A2.5 2.5 0 0 0 7 19.5c0-.7-.29-1.34-.76-1.79l1.62-3.25c.14.04.26.04.39.04s.25 0 .38-.04l1.63 3.25c-.47.45-.76 1.09-.76 1.79a2.5 2.5 0 0 0 5 0A2.5 2.5 0 0 0 12 17c-.13 0-.26 0-.39.04L10 13.8c.45-.45.75-1.09.75-1.8 0-.7-.29-1.33-.75-1.79l1.61-3.25c.13.04.26.04.39.04s.26 0 .39-.04L14 10.21a2.5 2.5 0 0 0 1.75 4.29c.13 0 .25 0 .38-.04l1.63 3.25c-.47.45-.76 1.09-.76 1.79a2.5 2.5 0 0 0 5 0 2.5 2.5 0 0 0-2.5-2.5m-15 3.5c-.55 0-1-.45-1-1s.45-1 1-1 1 .45 1 1-.45 1-1 1m8.5-1c0 .55-.45 1-1 1s-1-.45-1-1 .45-1 1-1 1 .45 1 1M7.25 12c0-.55.45-1 1-1s1 .45 1 1-.45 1-1 1-1-.45-1-1M11 4.5c0-.55.45-1 1-1s1 .45 1 1-.45 1-1 1-1-.45-1-1m3.75 7.5c0-.55.45-1 1-1s1 .45 1 1-.45 1-1 1-1-.45-1-1m4.75 8.5c-.55 0-1-.45-1-1s.45-1 1-1 1 .45 1 1-.45 1-1 1Z"/></svg>
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<span class="md-ellipsis">
|
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第 7 章 树
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<label class="md-nav__title" for="__nav_8">
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<span class="md-nav__icon md-icon"></span>
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第 7 章 树
|
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|
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<ul class="md-nav__list" data-md-scrollfix>
|
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<li class="md-nav__item">
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<a href="chapter_tree/binary_tree/" class="md-nav__link">
|
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<span class="md-ellipsis">
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7.1 二叉树
|
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</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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<li class="md-nav__item">
|
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<a href="chapter_tree/binary_tree_traversal/" class="md-nav__link">
|
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|
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|
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<span class="md-ellipsis">
|
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7.2 二叉树遍历
|
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</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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|
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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 href="chapter_tree/array_representation_of_tree/" class="md-nav__link">
|
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|
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|
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<span class="md-ellipsis">
|
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7.3 二叉树数组表示
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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|
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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 href="chapter_tree/binary_search_tree/" class="md-nav__link">
|
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|
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|
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<span class="md-ellipsis">
|
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7.4 二叉搜索树
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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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 href="chapter_tree/avl_tree/" class="md-nav__link">
|
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|
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<span class="md-ellipsis">
|
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7.5 AVL 树 *
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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<li class="md-nav__item">
|
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<span class="md-ellipsis">
|
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7.6 小结
|
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</span>
|
||
|
||
|
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</a>
|
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</li>
|
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|
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|
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</nav>
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|
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|
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<span class="md-ellipsis">
|
||
第 8 章 堆
|
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</span>
|
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|
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|
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</a>
|
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|
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|
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<label class="md-nav__link " for="__nav_9" id="__nav_9_label" tabindex="0">
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<span class="md-nav__icon md-icon"></span>
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</div>
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<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_9_label" aria-expanded="false">
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<label class="md-nav__title" for="__nav_9">
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<span class="md-nav__icon md-icon"></span>
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第 8 章 堆
|
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</label>
|
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<ul class="md-nav__list" data-md-scrollfix>
|
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<li class="md-nav__item">
|
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<a href="chapter_heap/heap/" class="md-nav__link">
|
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|
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|
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<span class="md-ellipsis">
|
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8.1 堆
|
||
</span>
|
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|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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<li class="md-nav__item">
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<a href="chapter_heap/build_heap/" class="md-nav__link">
|
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|
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|
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<span class="md-ellipsis">
|
||
8.2 建堆操作
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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<li class="md-nav__item">
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<a href="chapter_heap/top_k/" class="md-nav__link">
|
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|
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<span class="md-ellipsis">
|
||
8.3 Top-k 问题
|
||
</span>
|
||
|
||
|
||
</a>
|
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</li>
|
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|
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<a href="chapter_heap/summary/" class="md-nav__link">
|
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<span class="md-ellipsis">
|
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8.4 小结
|
||
</span>
|
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|
||
|
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</a>
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|
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<span class="md-ellipsis">
|
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第 9 章 图
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第 9 章 图
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|
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9.1 图
|
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</span>
|
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|
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|
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</a>
|
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</li>
|
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|
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<li class="md-nav__item">
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|
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<span class="md-ellipsis">
|
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9.2 图基础操作
|
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</span>
|
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|
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|
||
</a>
|
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</li>
|
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|
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<li class="md-nav__item">
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<a href="chapter_graph/graph_traversal/" class="md-nav__link">
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<span class="md-ellipsis">
|
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9.3 图的遍历
|
||
</span>
|
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|
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|
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</a>
|
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</li>
|
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|
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<li class="md-nav__item">
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<span class="md-ellipsis">
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9.4 小结
|
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</span>
|
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|
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|
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</a>
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|
||
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="m19.31 18.9 3.08 3.1L21 23.39l-3.12-3.07c-.69.43-1.51.68-2.38.68-2.5 0-4.5-2-4.5-4.5s2-4.5 4.5-4.5 4.5 2 4.5 4.5c0 .88-.25 1.71-.69 2.4m-3.81.1a2.5 2.5 0 0 0 0-5 2.5 2.5 0 0 0 0 5M21 4v2H3V4h18M3 16v-2h6v2H3m0-5V9h18v2h-2.03c-1.01-.63-2.2-1-3.47-1s-2.46.37-3.47 1H3Z"/></svg>
|
||
|
||
<span class="md-ellipsis">
|
||
第 10 章 搜索
|
||
</span>
|
||
|
||
|
||
</a>
|
||
|
||
|
||
<label class="md-nav__link " for="__nav_11" id="__nav_11_label" tabindex="0">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
</label>
|
||
|
||
</div>
|
||
|
||
<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>
|
||
第 10 章 搜索
|
||
</label>
|
||
<ul class="md-nav__list" data-md-scrollfix>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_searching/binary_search/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
10.1 二分查找
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_searching/binary_search_insertion/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
10.2 二分查找插入点
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_searching/binary_search_edge/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
10.3 二分查找边界
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_searching/replace_linear_by_hashing/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
10.4 哈希优化策略
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_searching/searching_algorithm_revisited/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
10.5 重识搜索算法
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_searching/summary/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
10.6 小结
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
</ul>
|
||
</nav>
|
||
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item md-nav__item--nested">
|
||
|
||
|
||
|
||
|
||
<input class="md-nav__toggle md-toggle " type="checkbox" id="__nav_12" >
|
||
|
||
|
||
|
||
<div class="md-nav__link md-nav__container">
|
||
<a href="chapter_sorting/" class="md-nav__link ">
|
||
|
||
|
||
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M19 17h3l-4 4-4-4h3V3h2M2 17h10v2H2M6 5v2H2V5m0 6h7v2H2v-2Z"/></svg>
|
||
|
||
<span class="md-ellipsis">
|
||
第 11 章 排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
|
||
|
||
<label class="md-nav__link " for="__nav_12" id="__nav_12_label" tabindex="0">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
</label>
|
||
|
||
</div>
|
||
|
||
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_12_label" aria-expanded="false">
|
||
<label class="md-nav__title" for="__nav_12">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
第 11 章 排序
|
||
</label>
|
||
<ul class="md-nav__list" data-md-scrollfix>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/sorting_algorithm/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.1 排序算法
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/selection_sort/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.2 选择排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/bubble_sort/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.3 冒泡排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/insertion_sort/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.4 插入排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/quick_sort/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.5 快速排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/merge_sort/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.6 归并排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/heap_sort/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.7 堆排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/bucket_sort/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.8 桶排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/counting_sort/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.9 计数排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/radix_sort/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.10 基数排序
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_sorting/summary/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
11.11 小结
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
</ul>
|
||
</nav>
|
||
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item md-nav__item--nested">
|
||
|
||
|
||
|
||
|
||
<input class="md-nav__toggle md-toggle " type="checkbox" id="__nav_13" >
|
||
|
||
|
||
|
||
<div class="md-nav__link md-nav__container">
|
||
<a href="chapter_divide_and_conquer/" class="md-nav__link ">
|
||
|
||
|
||
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M17 7v2h5V7h-5M2 9v6h5V9H2m10 0v2H9v2h3v2l3-3-3-3m5 2v2h5v-2h-5m0 4v2h5v-2h-5Z"/></svg>
|
||
|
||
<span class="md-ellipsis">
|
||
第 12 章 分治
|
||
</span>
|
||
|
||
|
||
</a>
|
||
|
||
|
||
<label class="md-nav__link " for="__nav_13" id="__nav_13_label" tabindex="0">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
</label>
|
||
|
||
</div>
|
||
|
||
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_13_label" aria-expanded="false">
|
||
<label class="md-nav__title" for="__nav_13">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
第 12 章 分治
|
||
</label>
|
||
<ul class="md-nav__list" data-md-scrollfix>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_divide_and_conquer/divide_and_conquer/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
12.1 分治算法
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_divide_and_conquer/binary_search_recur/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
12.2 分治搜索策略
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_divide_and_conquer/build_binary_tree_problem/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
12.3 构建树问题
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_divide_and_conquer/hanota_problem/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
12.4 汉诺塔问题
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_divide_and_conquer/summary/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
12.5 小结
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
</ul>
|
||
</nav>
|
||
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item md-nav__item--nested">
|
||
|
||
|
||
|
||
|
||
<input class="md-nav__toggle md-toggle " type="checkbox" id="__nav_14" >
|
||
|
||
|
||
|
||
<div class="md-nav__link md-nav__container">
|
||
<a href="chapter_backtracking/" class="md-nav__link ">
|
||
|
||
|
||
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M18 15a3 3 0 0 1 3 3 3 3 0 0 1-3 3 2.99 2.99 0 0 1-2.83-2H14v-2h1.17c.41-1.17 1.52-2 2.83-2m0 2a1 1 0 0 0-1 1 1 1 0 0 0 1 1 1 1 0 0 0 1-1 1 1 0 0 0-1-1m0-9a1.43 1.43 0 0 0 1.43-1.43 1.43 1.43 0 1 0-2.86 0A1.43 1.43 0 0 0 18 8m0-5.43a4 4 0 0 1 4 4C22 9.56 18 14 18 14s-4-4.44-4-7.43a4 4 0 0 1 4-4M8.83 17H10v2H8.83A2.99 2.99 0 0 1 6 21a3 3 0 0 1-3-3c0-1.31.83-2.42 2-2.83V14h2v1.17c.85.3 1.53.98 1.83 1.83M6 17a1 1 0 0 0-1 1 1 1 0 0 0 1 1 1 1 0 0 0 1-1 1 1 0 0 0-1-1M6 3a3 3 0 0 1 3 3c0 1.31-.83 2.42-2 2.83V10H5V8.83A2.99 2.99 0 0 1 3 6a3 3 0 0 1 3-3m0 2a1 1 0 0 0-1 1 1 1 0 0 0 1 1 1 1 0 0 0 1-1 1 1 0 0 0-1-1m5 14v-2h2v2h-2m-4-6H5v-2h2v2Z"/></svg>
|
||
|
||
<span class="md-ellipsis">
|
||
第 13 章 回溯
|
||
</span>
|
||
|
||
|
||
</a>
|
||
|
||
|
||
<label class="md-nav__link " for="__nav_14" id="__nav_14_label" tabindex="0">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
</label>
|
||
|
||
</div>
|
||
|
||
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_14_label" aria-expanded="false">
|
||
<label class="md-nav__title" for="__nav_14">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
第 13 章 回溯
|
||
</label>
|
||
<ul class="md-nav__list" data-md-scrollfix>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="chapter_backtracking/backtracking_algorithm/" class="md-nav__link">
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
13.1 回溯算法
|
||
</span>
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
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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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