2024-02-29 20:54:40 +08:00
<!DOCTYPE html>
< html class = "no-js" lang = "zh" >
2023-02-08 14:54:41 +08:00
< head >
2024-02-29 20:54:40 +08:00
< meta charset = "utf-8" / >
< meta content = "width=device-width,initial-scale=1" name = "viewport" / >
< meta content = "动画图解、一键运行的数据结构与算法教程" name = "description" / >
< meta content = "krahets" name = "author" / >
< link href = "https://www.hello-algo.com/" rel = "canonical" / >
< link href = "assets/images/favicon.png" rel = "icon" / >
< meta content = "mkdocs-1.5.3, mkdocs-material-9.5.5" name = "generator" / >
< title >
Hello 算法
< / title >
< link href = "assets/stylesheets/main.50c56a3b.min.css" rel = "stylesheet" / >
< link href = "assets/stylesheets/palette.06af60db.min.css" rel = "stylesheet" / >
< link crossorigin = "" href = "https://fonts.gstatic.com" rel = "preconnect" / >
< link href = "https://fonts.googleapis.com/css?family=Noto+Sans+SC:300,300i,400,400i,700,700i%7CFira+Code:400,400i,700,700i&display=fallback" rel = "stylesheet" / >
< style >
:root{--md-text-font:"Noto Sans SC";--md-code-font:"Fira Code"}
< / style >
< link href = "stylesheets/extra.css" rel = "stylesheet" / >
< script >
__md_scope=new URL(".",location),__md_hash=e=>[...e].reduce((e,_)=>(e< < 5 ) -e + _ . charCodeAt ( 0 ) , 0 ) , __md_get = (e,_=localStorage,t=__md_scope)= > JSON.parse(_.getItem(t.pathname+"."+e)),__md_set=(e,_,t=localStorage,a=__md_scope)=>{try{t.setItem(a.pathname+"."+e,JSON.stringify(_))}catch(e){}}
< / script >
2023-09-23 04:53:48 +08:00
< / head >
2024-02-29 20:54:40 +08:00
< body data-md-color-accent = "teal" data-md-color-primary = "white" data-md-color-scheme = "default" dir = "ltr" style = "background-color: var(--md-body-bg-color);" >
< input autocomplete = "off" class = "md-toggle" data-md-toggle = "drawer" id = "__drawer" type = "checkbox" / >
< input autocomplete = "off" class = "md-toggle" data-md-toggle = "search" id = "__search" type = "checkbox" / >
< label class = "md-overlay" for = "__drawer" >
< / label >
2023-02-08 14:54:41 +08:00
< div data-md-component = "skip" >
< / div >
2024-02-29 20:54:40 +08:00
< div data-md-color-primary = "black" data-md-color-scheme = "slate" data-md-component = "announce" >
2023-02-08 14:54:41 +08:00
< / div >
2024-02-29 20:54:40 +08:00
< header class = "md-header md-header--shadow" data-md-color-primary = "black" data-md-color-scheme = "slate" data-md-component = "header" >
< nav aria-label = "页眉" class = "md-header__inner md-grid" >
< a aria-label = "Hello 算法" class = "md-header__button md-logo" data-md-component = "logo" href = "." title = "Hello 算法" >
< img alt = "logo" src = "assets/images/logo.svg" / >
< / a >
< label class = "md-header__button md-icon" for = "__drawer" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M3 6h18v2H3V6m0 5h18v2H3v-2m0 5h18v2H3v-2Z" >
< / path >
< / svg >
< / label >
< div class = "md-header__title" data-md-component = "header-title" >
< div class = "md-header__ellipsis" >
< div class = "md-header__topic" >
< span class = "md-ellipsis" >
Hello 算法
< / span >
< / div >
< div class = "md-header__topic" data-md-component = "header-topic" >
< span class = "md-ellipsis" >
Home
< / span >
< / div >
< / div >
2023-02-08 14:54:41 +08:00
< / div >
2023-05-31 01:03:26 +08:00
< form class = "md-header__option" data-md-component = "palette" >
2024-02-29 20:54:40 +08:00
< input aria-label = "深色模式" class = "md-option" data-md-color-accent = "teal" data-md-color-media = "" data-md-color-primary = "white" data-md-color-scheme = "default" id = "__palette_0" name = "__palette" type = "radio" / >
< label class = "md-header__button md-icon" for = "__palette_1" hidden = "" title = "深色模式" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M7.5 2c-1.79 1.15-3 3.18-3 5.5s1.21 4.35 3.03 5.5C4.46 13 2 10.54 2 7.5A5.5 5.5 0 0 1 7.5 2m11.57 1.5 1.43 1.43L4.93 20.5 3.5 19.07 19.07 3.5m-6.18 2.43L11.41 5 9.97 6l.42-1.7L9 3.24l1.75-.12.58-1.65L12 3.1l1.73.03-1.35 1.13.51 1.67m-3.3 3.61-1.16-.73-1.12.78.34-1.32-1.09-.83 1.36-.09.45-1.29.51 1.27 1.36.03-1.05.87.4 1.31M19 13.5a5.5 5.5 0 0 1-5.5 5.5c-1.22 0-2.35-.4-3.26-1.07l7.69-7.69c.67.91 1.07 2.04 1.07 3.26m-4.4 6.58 2.77-1.15-.24 3.35-2.53-2.2m4.33-2.7 1.15-2.77 2.2 2.54-3.35.23m1.15-4.96-1.14-2.78 3.34.24-2.2 2.54M9.63 18.93l2.77 1.15-2.53 2.19-.24-3.34Z" >
< / path >
< / svg >
< / label >
< input aria-label = "浅色模式" class = "md-option" data-md-color-accent = "teal" data-md-color-media = "" data-md-color-primary = "black" data-md-color-scheme = "slate" id = "__palette_1" name = "__palette" type = "radio" / >
< label class = "md-header__button md-icon" for = "__palette_0" hidden = "" title = "浅色模式" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M7.5 2c-1.79 1.15-3 3.18-3 5.5s1.21 4.35 3.03 5.5C4.46 13 2 10.54 2 7.5A5.5 5.5 0 0 1 7.5 2m11.57 1.5 1.43 1.43L4.93 20.5 3.5 19.07 19.07 3.5m-6.18 2.43L11.41 5 9.97 6l.42-1.7L9 3.24l1.75-.12.58-1.65L12 3.1l1.73.03-1.35 1.13.51 1.67m-3.3 3.61-1.16-.73-1.12.78.34-1.32-1.09-.83 1.36-.09.45-1.29.51 1.27 1.36.03-1.05.87.4 1.31M19 13.5a5.5 5.5 0 0 1-5.5 5.5c-1.22 0-2.35-.4-3.26-1.07l7.69-7.69c.67.91 1.07 2.04 1.07 3.26m-4.4 6.58 2.77-1.15-.24 3.35-2.53-2.2m4.33-2.7 1.15-2.77 2.2 2.54-3.35.23m1.15-4.96-1.14-2.78 3.34.24-2.2 2.54M9.63 18.93l2.77 1.15-2.53 2.19-.24-3.34Z" >
< / path >
< / svg >
< / label >
< / form >
< script >
var media,input,key,value,palette=__md_get("__palette");if(palette& & palette.color){"(prefers-color-scheme)"===palette.color.media& & (media=matchMedia("(prefers-color-scheme: light)"),input=document.querySelector(media.matches?"[data-md-color-media='(prefers-color-scheme: light)']":"[data-md-color-media='(prefers-color-scheme: dark)']"),palette.color.media=input.getAttribute("data-md-color-media"),palette.color.scheme=input.getAttribute("data-md-color-scheme"),palette.color.primary=input.getAttribute("data-md-color-primary"),palette.color.accent=input.getAttribute("data-md-color-accent"));for([key,value]of Object.entries(palette.color))document.body.setAttribute("data-md-color-"+key,value)}
< / script >
< div class = "md-header__option" >
< div class = "md-select" >
< button aria-label = "选择当前语言" class = "md-header__button md-icon" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "m12.87 15.07-2.54-2.51.03-.03A17.52 17.52 0 0 0 14.07 6H17V4h-7V2H8v2H1v2h11.17C11.5 7.92 10.44 9.75 9 11.35 8.07 10.32 7.3 9.19 6.69 8h-2c.73 1.63 1.73 3.17 2.98 4.56l-5.09 5.02L4 19l5-5 3.11 3.11.76-2.04M18.5 10h-2L12 22h2l1.12-3h4.75L21 22h2l-4.5-12m-2.62 7 1.62-4.33L19.12 17h-3.24Z" >
< / path >
< / svg >
< / button >
< div class = "md-select__inner" >
< ul class = "md-select__list" >
< li class = "md-select__item" >
< a class = "md-select__link" href = "/" hreflang = "zh" >
中文
< / a >
< / li >
< li class = "md-select__item" >
< a class = "md-select__link" href = "/en/" hreflang = "en" >
English
< / a >
< / li >
< / ul >
< / div >
2023-02-08 14:54:41 +08:00
< / div >
< / div >
2024-02-29 20:54:40 +08:00
< label class = "md-header__button md-icon" for = "__search" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path 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" fill = "var(--md-default-fg-color)" >
< / path >
< / svg >
< / label >
< div class = "md-search" data-md-component = "search" role = "dialog" >
< label class = "md-search__overlay" for = "__search" >
< / label >
< div class = "md-search__inner" role = "search" >
< form class = "md-search__form" name = "search" >
< input aria-label = "搜索" autocapitalize = "off" autocomplete = "off" autocorrect = "off" class = "md-search__input" data-md-component = "search-query" name = "query" placeholder = "搜索" required = "" spellcheck = "false" type = "text" / >
< label class = "md-search__icon md-icon" for = "__search" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path 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" fill = "var(--md-default-fg-color)" >
< / path >
< / svg >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M20 11v2H8l5.5 5.5-1.42 1.42L4.16 12l7.92-7.92L13.5 5.5 8 11h12Z" >
< / path >
< / svg >
< / label >
< nav aria-label = "查找" class = "md-search__options" >
< a aria-label = "分享" class = "md-search__icon md-icon" data-clipboard = "" data-clipboard-text = "" data-md-component = "search-share" href = "javascript:void(0)" tabindex = "-1" title = "分享" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< 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" >
< / path >
< / svg >
< / a >
< button aria-label = "清空当前内容" class = "md-search__icon md-icon" tabindex = "-1" title = "清空当前内容" type = "reset" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M19 6.41 17.59 5 12 10.59 6.41 5 5 6.41 10.59 12 5 17.59 6.41 19 12 13.41 17.59 19 19 17.59 13.41 12 19 6.41Z" >
< / path >
< / svg >
< / button >
< / nav >
< div class = "md-search__suggest" data-md-component = "search-suggest" >
< / div >
< / form >
< div class = "md-search__output" >
< div class = "md-search__scrollwrap" data-md-scrollfix = "" >
< div class = "md-search-result" data-md-component = "search-result" >
< div class = "md-search-result__meta" >
正在初始化搜索引擎
< / div >
< ol class = "md-search-result__list" role = "presentation" >
< / ol >
< / div >
< / div >
< / div >
< / div >
< / div >
< div class = "md-header__source" >
< a class = "md-source" data-md-component = "source" href = "https://github.com/krahets/hello-algo" title = "前往仓库" >
< div class = "md-source__icon md-icon" >
< svg viewbox = "0 0 496 512" xmlns = "http://www.w3.org/2000/svg" >
<!-- ! 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" >
< / path >
< / svg >
< / div >
< div class = "md-source__repository" >
krahets/hello-algo
< / div >
< / a >
< / div >
< / nav >
< / header >
2023-02-08 14:54:41 +08:00
< div class = "md-container" data-md-component = "container" >
2024-02-29 20:54:40 +08:00
< section class = "home-div" data-md-color-primary = "grey" data-md-color-scheme = "slate" style = "height: min(100vh, 120vw); position: relative; margin-top:-2.4rem; padding: 0; overflow: hidden;" >
< img alt = "" class = "hero-bg" src = "assets/hero/universe_bg.png" / >
< div class = "hero-div" >
< img alt = "" src = "assets/hero/ground.png" style = "position: absolute; width: auto; height: 26.445%; left: 28.211%; top: 54.145%;" / >
< img alt = "" src = "assets/hero/links.png" style = "position: absolute; width: auto; height: 78.751%; left: 10.545%; top: 7.326%;" / >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_introduction/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/astronaut.png" style = "height: 46.673%; left: 35.413%; top: 24.343%;" / >
< span style = "left: 52.244%; top: 20.919%;" >
初识算法
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_computational_complexity/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_computational_complexity.png" style = "height: 12.347%; left: 36.267%; top: 37.653%;" / >
< span style = "left: 39.244%; top: 33.919%;" >
复杂度
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_array_and_linkedlist/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_array_and_linkedlist.png" style = "height: 22.242%; left: 73.242%; top: 52.481%;" / >
< span style = "left: 90.897%; top: 76.259%;" >
数组与链表
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_stack_and_queue/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_stack_and_queue.png" style = "height: 14.302%; left: 62.646%; top: 77.875%;" / >
< span style = "left: 77.571%; top: 91.25%;" >
栈与队列
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_hashing/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_hashing.png" style = "height: 15.266%; left: 63.281%; top: 27.933%;" / >
< span style = "left: 68.862%; top: 46.292%;" >
哈希表
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_tree/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_tree.png" style = "height: 19.615%; left: 80.137%; top: 26.678%;" / >
< span style = "left: 96.159%; top: 44.8%;" >
树
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_heap/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_heap.png" style = "height: 10.566%; left: 77.226%; top: 11.559%;" / >
< span style = "left: 88.103%; top: 15.422%;" >
堆
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_graph/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_graph.png" style = "height: 16.112%; left: 51.854%; top: 5.575%;" / >
< span style = "left: 71.195%; top: 6.503%;" >
图
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_searching/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_searching.png" style = "height: 15.149%; left: 18.185%; top: 16.404%;" / >
< span style = "left: 14.556%; top: 20.876%;" >
搜索
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_sorting/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_sorting.png" style = "height: 9.574%; left: 25.409%; top: 40.747%;" / >
< span style = "left: 28.805%; top: 53.808%;" >
排序
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_divide_and_conquer/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_divide_and_conquer.png" style = "height: 18.681%; left: 32.721%; top: 4.816%;" / >
< span style = "left: 31.42%; top: 8.679%;" >
分治
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_backtracking/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_backtracking.png" style = "height: 17.338%; left: 4.875%; top: 32.925%;" / >
< span style = "left: 4.742%; top: 50.113%;" >
回溯
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_dynamic_programming/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_dynamic_programming.png" style = "height: 15.47%; left: 9.406%; top: 57.472%;" / >
< span style = "left: 8.561%; top: 75.351%;" >
动态规划
< / span >
2024-01-22 19:05:45 +08:00
< / a >
2024-01-23 19:20:03 +08:00
< a href = "/chapter_greedy/" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "assets/hero/chapter_greedy.png" style = "height: 14.127%; left: 23.132%; top: 75.803%;" / >
< span style = "left: 21.619%; top: 86.85%;" >
贪心
< / span >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
2024-02-29 20:54:40 +08:00
< div class = "heading-div" >
< img alt = "" src = "https://readme-typing-svg.demolab.com/?font=Noto+Sans+SC&weight=400&duration=3500&pause=2000&color=FFF&center=true&vCenter=true&random=false&width=200&lines=Hello%2C+%E7%AE%97%E6%B3%95+!" style = "height: min(9vh, 12vw);" / >
2024-01-24 16:58:27 +08:00
< div style = "pointer-events: auto;" >
2024-01-28 22:31:13 +08:00
< p style = "margin-top: max(-1vh, -2vw); margin-bottom: min(2vh, 3.5vw);" >
动画图解、一键运行的数据结构与算法教程
< / p >
2024-02-29 20:54:40 +08:00
< a class = "rounded-button" href = "/chapter_preface/" >
< svg viewbox = "0 0 512 512" xmlns = "http://www.w3.org/2000/svg" >
<!-- !Font Awesome Free 6.5.1 by @fontawesome - https://fontawesome.com License - https://fontawesome.com/license/free Copyright 2024 Fonticons, Inc. -->
< path d = "M160 96a96 96 0 1 1 192 0A96 96 0 1 1 160 96zm80 152V512l-48.4-24.2c-20.9-10.4-43.5-17-66.8-19.3l-96-9.6C12.5 457.2 0 443.5 0 427V224c0-17.7 14.3-32 32-32H62.3c63.6 0 125.6 19.6 177.7 56zm32 264V248c52.1-36.4 114.1-56 177.7-56H480c17.7 0 32 14.3 32 32V427c0 16.4-12.5 30.2-28.8 31.8l-96 9.6c-23.2 2.3-45.9 8.9-66.8 19.3L272 512z" >
< / path >
2024-01-23 19:20:03 +08:00
< / svg >
2024-02-29 20:54:40 +08:00
< span >
开始阅读
< / span >
2024-01-23 19:20:03 +08:00
< / a >
2024-02-29 20:54:40 +08:00
< a class = "rounded-button" href = "https://github.com/krahets/hello-algo" >
< svg viewbox = "0 0 496 512" xmlns = "http://www.w3.org/2000/svg" >
< 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" >
2024-01-23 19:20:03 +08:00
< / path >
< / svg >
2024-02-29 20:54:40 +08:00
< span >
代码仓库
< / span >
2024-01-23 19:20:03 +08:00
< / a >
< / div >
< div style = "text-align: center; margin-top: min(2.5vh, 3.5vw);" >
2024-02-29 20:54:40 +08:00
< svg fill = "var(--md-default-fg-color)" height = "2vh" viewbox = "0 0 384 512" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M169.4 470.6c12.5 12.5 32.8 12.5 45.3 0l160-160c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 370.8 224 64c0-17.7-14.3-32-32-32s-32 14.3-32 32l0 306.7L54.6 265.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l160 160z" >
< / path >
2024-01-23 19:20:03 +08:00
< / svg >
< / div >
< / div >
2024-01-22 19:05:45 +08:00
< / section >
2024-02-29 20:54:40 +08:00
< section class = "home-div" data-md-color-scheme = "slate" >
2024-01-22 19:05:45 +08:00
< div class = "section-content" >
2024-02-29 20:54:40 +08:00
< img alt = "Preview" src = "index.assets/hello_algo_header.png" style = "width: 100%; max-width: 39em;" / >
2024-01-23 00:20:55 +08:00
< div class = "code-badge" >
2024-02-29 20:54:40 +08:00
< img alt = "" src = "https://img.shields.io/badge/Python-snow?logo=python&logoColor=3776AB" / >
< img alt = "" src = "https://img.shields.io/badge/C%2B%2B-snow?logo=c%2B%2B&logoColor=00599C" / >
< img alt = "" src = "https://img.shields.io/badge/Java-snow?logo=coffeescript&logoColor=FC4C02" / >
< img alt = "" src = "https://img.shields.io/badge/C%23-snow?logo=csharp&logoColor=512BD4" / >
< 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/JavaScript-snow?logo=javascript&logoColor=E9CE30" / >
< img alt = "" src = "https://img.shields.io/badge/TypeScript-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/Rust-snow?logo=rust&logoColor=000000" / >
< img alt = "" src = "https://img.shields.io/badge/C-snow?logo=c&logoColor=A8B9CC" / >
< img alt = "" src = "https://img.shields.io/badge/Zig-snow?logo=zig&logoColor=F7A41D" / >
2024-01-22 19:05:45 +08:00
< / div >
2024-02-29 20:54:40 +08:00
< p style = "margin-top: 2em;" >
500 幅动画图解、12 种编程语言代码、3000 条社区问答,助你快速入门数据结构与算法
< / p >
2024-01-22 19:05:45 +08:00
< / div >
< / section >
2024-02-29 20:54:40 +08:00
< section class = "home-div" data-md-color-primary = "white" data-md-color-scheme = "default" >
2024-01-22 19:05:45 +08:00
< div class = "section-content" >
2024-02-07 21:39:15 +08:00
< div class = "reading-media" >
< div class = "media-block" >
2024-02-29 20:54:40 +08:00
< div style = "height: 8.17%;" >
< / div >
< img alt = "Cover" class = "device-on-hover" src = "assets/hero/cover_render.png" style = "height: 66.83%;" / >
2024-02-07 21:39:15 +08:00
< div class = "text-button" style = "color: var(--md-accent-fg-color);" >
2024-02-29 20:54:40 +08:00
< span >
纸质书
< br / >
(即将发布)
< / span >
2024-01-23 19:20:03 +08:00
< / div >
2024-02-07 21:39:15 +08:00
< / div >
< div class = "media-block" >
< a href = "/chapter_preface/" >
2024-02-29 20:54:40 +08:00
< 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 >
2024-02-07 21:39:15 +08:00
< div class = "text-button" >
2024-02-29 20:54:40 +08:00
< 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 >
2024-02-07 21:39:15 +08:00
< / svg >
< / div >
< / a >
< / div >
< div class = "media-block" >
< a href = "https://github.com/krahets/hello-algo/releases" >
2024-02-29 20:54:40 +08:00
< img alt = "" class = "device-on-hover" src = "assets/hero/pdf_ipad.png" style = "height: 75%;" / >
2024-02-07 21:39:15 +08:00
< div class = "text-button" >
2024-02-29 20:54:40 +08:00
< 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 >
2024-02-07 21:39:15 +08:00
< / svg >
< / div >
< / a >
< / div >
2024-01-23 19:20:03 +08:00
< / div >
2024-01-22 19:05:45 +08:00
< / div >
< / section >
2024-02-29 20:54:40 +08:00
< section class = "home-div" data-md-color-primary = "grey" data-md-color-scheme = "slate" >
2024-01-22 19:05:45 +08:00
< div class = "section-content" >
2024-02-29 20:54:40 +08:00
< h3 style = "text-align: center; margin: 1em auto;" >
推荐语
< / h3 >
2024-01-24 16:58:27 +08:00
< div class = "intro-container" style = "margin: 0 auto;" >
2024-01-22 22:58:46 +08:00
< div class = "intro-text endor-text" >
2024-02-29 20:54:40 +08:00
< 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 >
2024-01-22 19:05:45 +08:00
< / div >
2024-01-22 22:58:46 +08:00
< div class = "intro-text endor-text" >
2024-02-29 20:54:40 +08:00
< 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 >
2024-01-22 19:05:45 +08:00
< / div >
< / div >
< / div >
< / section >
2024-02-29 20:54:40 +08:00
< section class = "home-div" data-md-color-primary = "white" data-md-color-scheme = "default" >
2024-01-22 19:05:45 +08:00
< div class = "section-content" >
< div class = "intro-container" >
< div class = "intro-text" >
< div >
< div style = "display: flex; align-items: center;" >
2024-02-29 20:54:40 +08:00
< 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 >
2024-01-22 19:05:45 +08:00
< / svg >
2024-02-29 20:54:40 +08:00
< h3 style = "margin-left: 0.5em;" >
动画图解
< / h3 >
2024-01-22 19:05:45 +08:00
< / div >
2024-02-29 20:54:40 +08:00
< 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."“一图胜千言”
< / p >
2024-01-22 19:05:45 +08:00
< / div >
< / div >
2024-02-29 20:54:40 +08:00
< img alt = "Animation example" class = "intro-image" src = "index.assets/animation.gif" / >
2024-01-22 19:05:45 +08:00
< / div >
< div class = "intro-container" >
2024-02-29 20:54:40 +08:00
< img alt = "Running code example" class = "intro-image" src = "index.assets/running_code.gif" / >
2024-01-22 19:05:45 +08:00
< div class = "intro-text" >
< div >
< div style = "display: flex; align-items: center;" >
2024-02-29 20:54:40 +08:00
< 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 >
2024-01-22 19:05:45 +08:00
< / svg >
2024-02-29 20:54:40 +08:00
< h3 style = "margin-left: 0.5em;" >
一键运行
< / h3 >
2024-01-22 19:05:45 +08:00
< / div >
2024-02-29 20:54:40 +08:00
< 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."“少吹牛,看代码”
< / p >
2024-01-22 19:05:45 +08:00
< / div >
< / div >
< / div >
< div class = "intro-container" >
< div class = "intro-text" >
< div >
< div style = "display: flex; align-items: center;" >
2024-02-29 20:54:40 +08:00
< 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 >
2024-01-22 19:05:45 +08:00
< / svg >
2024-02-29 20:54:40 +08:00
< h3 style = "margin-left: 0.5em;" >
互助学习
< / h3 >
2024-01-22 19:05:45 +08:00
< / div >
2024-02-29 20:54:40 +08:00
< 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."“教学相长”
< / p >
2024-01-22 19:05:45 +08:00
< / div >
< / div >
2024-02-29 20:54:40 +08:00
< img alt = "Comments example" class = "intro-image" src = "index.assets/comment.gif" / >
2024-01-22 19:05:45 +08:00
< / div >
< / div >
< / section >
2024-02-29 20:54:40 +08:00
< section class = "home-div" data-md-color-primary = "grey" data-md-color-scheme = "slate" >
2024-01-22 19:05:45 +08:00
< div class = "section-content" style = "max-width: 90vw;" >
< div style = "margin: 2em auto;" >
2024-02-29 20:54:40 +08:00
< h3 >
作者
< / h3 >
2024-01-22 19:05:45 +08:00
< div class = "profile-div" >
< div class = "profile-cell" >
< a href = "https://github.com/krahets" >
2024-02-29 20:54:40 +08:00
< img alt = "Author: yudongjin" class = "profile-img" src = "assets/avatar/avatar_yudongjin.jpg" / >
< br / >
< b >
靳宇栋(@krahets)
< / b >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< / div >
< / div >
< div style = "margin: 2em auto;" >
2024-02-29 20:54:40 +08:00
< h3 >
代码审阅者
< / h3 >
2024-01-22 19:05:45 +08:00
< div class = "profile-div" >
< div class = "profile-cell" >
< a href = "https://github.com/codingonion" >
2024-02-29 20:54:40 +08:00
< img alt = "Reviewer: codingonion" class = "profile-img" src = "assets/avatar/avatar_codingonion.jpg" / >
< br / >
< b >
codingonion
< / b >
< br / >
< sub >
Zig, Rust
< / sub >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< div class = "profile-cell" >
< a href = "https://github.com/Gonglja" >
2024-02-29 20:54:40 +08:00
< img alt = "Reviewer: Gonglja" class = "profile-img" src = "assets/avatar/avatar_Gonglja.jpg" / >
< br / >
< b >
Gonglja
< / b >
< br / >
< sub >
C, C++
< / sub >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< div class = "profile-cell" >
< a href = "https://github.com/gvenusleo" >
2024-02-29 20:54:40 +08:00
< img alt = "Reviewer: gvenusleo" class = "profile-img" src = "assets/avatar/avatar_gvenusleo.jpg" / >
< br / >
< b >
gvenusleo
< / b >
< br / >
< sub >
Dart
< / sub >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< div class = "profile-cell" >
< a href = "https://github.com/hpstory" >
2024-02-29 20:54:40 +08:00
< img alt = "Reviewer: hpstory" class = "profile-img" src = "assets/avatar/avatar_hpstory.jpg" / >
< br / >
< b >
hpstory
< / b >
< br / >
< sub >
C#
< / sub >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< div class = "profile-cell" >
< a href = "https://github.com/justin-tse" >
2024-02-29 20:54:40 +08:00
< 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 >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< div class = "profile-cell" >
< a href = "https://github.com/krahets" >
2024-02-29 20:54:40 +08:00
< img alt = "Reviewer: krahets" class = "profile-img" src = "assets/avatar/avatar_krahets.jpg" / >
< br / >
< b >
krahets
< / b >
< br / >
< sub >
Python, Java
< / sub >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< div class = "profile-cell" >
< a href = "https://github.com/night-cruise" >
2024-02-29 20:54:40 +08:00
< img alt = "Reviewer: night-cruise" class = "profile-img" src = "assets/avatar/avatar_night-cruise.jpg" / >
< br / >
< b >
night-cruise
< / b >
< br / >
< sub >
Rust
< / sub >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< div class = "profile-cell" >
< a href = "https://github.com/nuomi1" >
2024-02-29 20:54:40 +08:00
< img alt = "Reviewer: nuomi1" class = "profile-img" src = "assets/avatar/avatar_nuomi1.jpg" / >
< br / >
< b >
nuomi1
< / b >
< br / >
< sub >
Swift
< / sub >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< div class = "profile-cell" >
< a href = "https://github.com/Reanon" >
2024-02-29 20:54:40 +08:00
< img alt = "Reviewer: Reanon" class = "profile-img" src = "assets/avatar/avatar_Reanon.jpg" / >
< br / >
< b >
Reanon
< / b >
< br / >
< sub >
Go, C
< / sub >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< / div >
< / div >
< div style = "margin: 2em auto;" >
2024-02-29 20:54:40 +08:00
< h3 >
贡献者
< / h3 >
< p >
本书在开源社区 140 多位贡献者的共同努力下不断完善,感谢他们付出的时间与精力!
< / p >
2024-01-22 19:05:45 +08:00
< a href = "https://github.com/krahets/hello-algo/graphs/contributors" >
2024-02-29 20:54:40 +08:00
< img alt = "Contributors" src = "https://contrib.rocks/image?repo=krahets/hello-algo&max=300&columns=16" style = "width: 100%; max-width: 38.5em;" / >
2024-01-22 19:05:45 +08:00
< / a >
< / div >
< / div >
< / section >
2024-02-29 20:54:40 +08:00
< section class = "home-div" data-md-color-primary = "white" data-md-color-scheme = "default" >
2024-02-04 22:41:53 +08:00
< div class = "section-content giscus-container" >
2024-02-29 20:54:40 +08:00
< p >
欢迎在评论区留下你的见解、问题或建议
< / p >
< script async = "" crossorigin = "anonymous" data-category = "Announcements" data-category-id = "DIC_kwDOIXtSq84CSZk_" data-emit-metadata = "0" data-input-position = "top" data-lang = "zh-CN" data-mapping = "pathname" data-reactions-enabled = "1" data-repo = "krahets/hello-algo" data-repo-id = "R_kgDOIXtSqw" data-strict = "1" data-theme = "light" src = "https://giscus.app/client.js" >
2024-02-04 22:41:53 +08:00
< / script >
< / div >
< / section >
2024-02-08 03:34:53 +08:00
< main class = "md-main" data-md-component = "main" style = "height: 0;" >
2023-02-08 14:54:41 +08:00
< div class = "md-main__inner md-grid" >
2024-02-29 20:54:40 +08:00
< div class = "md-sidebar md-sidebar--primary" data-md-component = "sidebar" data-md-type = "navigation" hidden = "" >
< div class = "md-sidebar__scrollwrap" >
< div class = "md-sidebar__inner" >
< nav aria-label = "导航栏" class = "md-nav md-nav--primary" data-md-level = "0" >
< label class = "md-nav__title" for = "__drawer" >
< a aria-label = "Hello 算法" class = "md-nav__button md-logo" data-md-component = "logo" href = "." title = "Hello 算法" >
< img alt = "logo" src = "assets/images/logo.svg" / >
< / a >
Hello 算法
< / label >
< div class = "md-nav__source" >
< a class = "md-source" data-md-component = "source" href = "https://github.com/krahets/hello-algo" title = "前往仓库" >
< div class = "md-source__icon md-icon" >
< svg viewbox = "0 0 496 512" xmlns = "http://www.w3.org/2000/svg" >
<!-- ! 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" >
< / path >
< / svg >
< / div >
< div class = "md-source__repository" >
krahets/hello-algo
< / div >
< / a >
2023-02-08 14:54:41 +08:00
< / div >
2024-02-29 20:54:40 +08:00
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_1" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_preface/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< 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" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 0 章 前言
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_1" id = "__nav_1_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_1_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_1" >
< span class = "md-nav__icon md-icon" >
< / span >
第 0 章 前言
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_preface/about_the_book/" >
< span class = "md-ellipsis" >
0.1 关于本书
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_preface/suggestions/" >
< span class = "md-ellipsis" >
0.2 如何使用本书
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_preface/summary/" >
< span class = "md-ellipsis" >
0.3 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_2" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_introduction/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< 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" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 1 章 初识算法
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_2" id = "__nav_2_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_2_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_2" >
< span class = "md-nav__icon md-icon" >
< / span >
第 1 章 初识算法
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_introduction/algorithms_are_everywhere/" >
< span class = "md-ellipsis" >
1.1 算法无处不在
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_introduction/what_is_dsa/" >
< span class = "md-ellipsis" >
1.2 算法是什么
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_introduction/summary/" >
< span class = "md-ellipsis" >
1.3 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_3" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_computational_complexity/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< 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" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 2 章 复杂度分析
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_3" id = "__nav_3_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_3_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_3" >
< span class = "md-nav__icon md-icon" >
< / span >
第 2 章 复杂度分析
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_computational_complexity/performance_evaluation/" >
< span class = "md-ellipsis" >
2.1 算法效率评估
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_computational_complexity/iteration_and_recursion/" >
< span class = "md-ellipsis" >
2.2 迭代与递归
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_computational_complexity/time_complexity/" >
< span class = "md-ellipsis" >
2.3 时间复杂度
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_computational_complexity/space_complexity/" >
< span class = "md-ellipsis" >
2.4 空间复杂度
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_computational_complexity/summary/" >
< span class = "md-ellipsis" >
2.5 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_4" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_data_structure/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M11 13.5v8H3v-8h8m-2 2H5v4h4v-4M12 2l5.5 9h-11L12 2m0 3.86L10.08 9h3.84L12 5.86M17.5 13c2.5 0 4.5 2 4.5 4.5S20 22 17.5 22 13 20 13 17.5s2-4.5 4.5-4.5m0 2a2.5 2.5 0 0 0-2.5 2.5 2.5 2.5 0 0 0 2.5 2.5 2.5 2.5 0 0 0 2.5-2.5 2.5 2.5 0 0 0-2.5-2.5Z" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 3 章 数据结构
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_4" id = "__nav_4_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_4_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_4" >
< span class = "md-nav__icon md-icon" >
< / span >
第 3 章 数据结构
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_data_structure/classification_of_data_structure/" >
< span class = "md-ellipsis" >
3.1 数据结构分类
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_data_structure/basic_data_types/" >
< span class = "md-ellipsis" >
3.2 基本数据类型
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_data_structure/number_encoding/" >
< span class = "md-ellipsis" >
3.3 数字编码 *
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_data_structure/character_encoding/" >
< span class = "md-ellipsis" >
3.4 字符编码 *
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_data_structure/summary/" >
< span class = "md-ellipsis" >
3.5 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_5" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_array_and_linkedlist/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M3 5v14h17V5H3m4 2v2H5V7h2m-2 6v-2h2v2H5m0 2h2v2H5v-2m13 2H9v-2h9v2m0-4H9v-2h9v2m0-4H9V7h9v2Z" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 4 章 数组与链表
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_5" id = "__nav_5_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_5_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_5" >
< span class = "md-nav__icon md-icon" >
< / span >
第 4 章 数组与链表
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_array_and_linkedlist/array/" >
< span class = "md-ellipsis" >
4.1 数组
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_array_and_linkedlist/linked_list/" >
< span class = "md-ellipsis" >
4.2 链表
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_array_and_linkedlist/list/" >
< span class = "md-ellipsis" >
4.3 列表
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_array_and_linkedlist/ram_and_cache/" >
< span class = "md-ellipsis" >
4.4 内存与缓存 *
< / span >
< span class = "md-status md-status--new" title = "最近添加" >
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_array_and_linkedlist/summary/" >
< span class = "md-ellipsis" >
4.5 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_6" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_stack_and_queue/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M17.36 20.2v-5.38h1.79V22H3v-7.18h1.8v5.38h12.56M6.77 14.32l.37-1.76 8.79 1.85-.37 1.76-8.79-1.85m1.16-4.21.76-1.61 8.14 3.78-.76 1.62-8.14-3.79m2.26-3.99 1.15-1.38 6.9 5.76-1.15 1.37-6.9-5.75m4.45-4.25L20 9.08l-1.44 1.07-5.36-7.21 1.44-1.07M6.59 18.41v-1.8h8.98v1.8H6.59Z" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 5 章 栈与队列
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_6" id = "__nav_6_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_6_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_6" >
< span class = "md-nav__icon md-icon" >
< / span >
第 5 章 栈与队列
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_stack_and_queue/stack/" >
< span class = "md-ellipsis" >
5.1 栈
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_stack_and_queue/queue/" >
< span class = "md-ellipsis" >
5.2 队列
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_stack_and_queue/deque/" >
< span class = "md-ellipsis" >
5.3 双向队列
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_stack_and_queue/summary/" >
< span class = "md-ellipsis" >
5.4 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_7" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_hashing/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M19.3 17.89c1.32-2.1.7-4.89-1.41-6.21a4.52 4.52 0 0 0-6.21 1.41C10.36 15.2 11 18 13.09 19.3c1.47.92 3.33.92 4.8 0L21 22.39 22.39 21l-3.09-3.11m-2-.62c-.98.98-2.56.97-3.54 0-.97-.98-.97-2.56.01-3.54.97-.97 2.55-.97 3.53 0 .96.99.95 2.57-.03 3.54h.03M19 4H5a2 2 0 0 0-2 2v12a2 2 0 0 0 2 2h5.81a6.3 6.3 0 0 1-1.31-2H5v-4h4.18c.16-.71.43-1.39.82-2H5V8h6v2.81a6.3 6.3 0 0 1 2-1.31V8h6v2a6.499 6.499 0 0 1 2 2V6a2 2 0 0 0-2-2Z" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 6 章 哈希表
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_7" id = "__nav_7_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_7_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_7" >
< span class = "md-nav__icon md-icon" >
< / span >
第 6 章 哈希表
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_hashing/hash_map/" >
< span class = "md-ellipsis" >
6.1 哈希表
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_hashing/hash_collision/" >
< span class = "md-ellipsis" >
6.2 哈希冲突
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_hashing/hash_algorithm/" >
< span class = "md-ellipsis" >
6.3 哈希算法
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_hashing/summary/" >
< span class = "md-ellipsis" >
6.4 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_8" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_tree/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< 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" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 7 章 树
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_8" id = "__nav_8_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_8_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_8" >
< span class = "md-nav__icon md-icon" >
< / span >
第 7 章 树
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_tree/binary_tree/" >
< span class = "md-ellipsis" >
7.1 二叉树
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_tree/binary_tree_traversal/" >
< span class = "md-ellipsis" >
7.2 二叉树遍历
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_tree/array_representation_of_tree/" >
< span class = "md-ellipsis" >
7.3 二叉树数组表示
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_tree/binary_search_tree/" >
< span class = "md-ellipsis" >
7.4 二叉搜索树
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_tree/avl_tree/" >
< span class = "md-ellipsis" >
7.5 AVL 树 *
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_tree/summary/" >
< span class = "md-ellipsis" >
7.6 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_9" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_heap/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M12 1a2.5 2.5 0 0 0-2.5 2.5A2.5 2.5 0 0 0 11 5.79V7H7a2 2 0 0 0-2 2v.71A2.5 2.5 0 0 0 3.5 12 2.5 2.5 0 0 0 5 14.29V15H4a2 2 0 0 0-2 2v1.21A2.5 2.5 0 0 0 .5 20.5 2.5 2.5 0 0 0 3 23a2.5 2.5 0 0 0 2.5-2.5A2.5 2.5 0 0 0 4 18.21V17h4v1.21a2.5 2.5 0 0 0-1.5 2.29A2.5 2.5 0 0 0 9 23a2.5 2.5 0 0 0 2.5-2.5 2.5 2.5 0 0 0-1.5-2.29V17a2 2 0 0 0-2-2H7v-.71A2.5 2.5 0 0 0 8.5 12 2.5 2.5 0 0 0 7 9.71V9h10v.71A2.5 2.5 0 0 0 15.5 12a2.5 2.5 0 0 0 1.5 2.29V15h-1a2 2 0 0 0-2 2v1.21a2.5 2.5 0 0 0-1.5 2.29A2.5 2.5 0 0 0 15 23a2.5 2.5 0 0 0 2.5-2.5 2.5 2.5 0 0 0-1.5-2.29V17h4v1.21a2.5 2.5 0 0 0-1.5 2.29A2.5 2.5 0 0 0 21 23a2.5 2.5 0 0 0 2.5-2.5 2.5 2.5 0 0 0-1.5-2.29V17a2 2 0 0 0-2-2h-1v-.71A2.5 2.5 0 0 0 20.5 12 2.5 2.5 0 0 0 19 9.71V9a2 2 0 0 0-2-2h-4V5.79a2.5 2.5 0 0 0 1.5-2.29A2.5 2.5 0 0 0 12 1m0 1.5a1 1 0 0 1 1 1 1 1 0 0 1-1 1 1 1 0 0 1-1-1 1 1 0 0 1 1-1M6 11a1 1 0 0 1 1 1 1 1 0 0 1-1 1 1 1 0 0 1-1-1 1 1 0 0 1 1-1m12 0a1 1 0 0 1 1 1 1 1 0 0 1-1 1 1 1 0 0 1-1-1 1 1 0 0 1 1-1M3 19.5a1 1 0 0 1 1 1 1 1 0 0 1-1 1 1 1 0 0 1-1-1 1 1 0 0 1 1-1m6 0a1 1 0 0 1 1 1 1 1 0 0 1-1 1 1 1 0 0 1-1-1 1 1 0 0 1 1-1m6 0a1 1 0 0 1 1 1 1 1 0 0 1-1 1 1 1 0 0 1-1-1 1 1 0 0 1 1-1m6 0a1 1 0 0 1 1 1 1 1 0 0 1-1 1 1 1 0 0 1-1-1 1 1 0 0 1 1-1Z" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 8 章 堆
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_9" id = "__nav_9_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_9_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_9" >
< span class = "md-nav__icon md-icon" >
< / span >
第 8 章 堆
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_heap/heap/" >
< span class = "md-ellipsis" >
8.1 堆
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_heap/build_heap/" >
< span class = "md-ellipsis" >
8.2 建堆操作
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_heap/top_k/" >
< span class = "md-ellipsis" >
8.3 Top-k 问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_heap/summary/" >
< span class = "md-ellipsis" >
8.4 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_10" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_graph/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "m12 5.37-.44-.06L6 14.9c.24.21.4.48.47.78h11.06c.07-.3.23-.57.47-.78l-5.56-9.59-.44.06M6.6 16.53l4.28 2.53c.29-.27.69-.43 1.12-.43.43 0 .83.16 1.12.43l4.28-2.53H6.6M12 22a1.68 1.68 0 0 1-1.68-1.68l.09-.56-4.3-2.55c-.31.36-.76.58-1.27.58a1.68 1.68 0 0 1-1.68-1.68c0-.79.53-1.45 1.26-1.64V9.36c-.83-.11-1.47-.82-1.47-1.68A1.68 1.68 0 0 1 4.63 6c.55 0 1.03.26 1.34.66l4.41-2.53-.06-.45c0-.93.75-1.68 1.68-1.68.93 0 1.68.75 1.68 1.68l-.06.45 4.41 2.53c.31-.4.79-.66 1.34-.66a1.68 1.68 0 0 1 1.68 1.68c0 .86-.64 1.57-1.47 1.68v5.11c.73.19 1.26.85 1.26 1.64a1.68 1.68 0 0 1-1.68 1.68c-.51 0-.96-.22-1.27-.58l-4.3 2.55.09.56A1.68 1.68 0 0 1 12 22M10.8 4.86 6.3 7.44l.02.24c0 .71-.44 1.32-1.06 1.57l.03 5.25 5.51-9.64m2.4 0 5.51 9.64.03-5.25c-.62-.25-1.06-.86-1.06-1.57l.02-.24-4.5-2.58Z" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 9 章 图
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_10" id = "__nav_10_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_10_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_10" >
< span class = "md-nav__icon md-icon" >
< / span >
第 9 章 图
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_graph/graph/" >
< span class = "md-ellipsis" >
9.1 图
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_graph/graph_operations/" >
< span class = "md-ellipsis" >
9.2 图基础操作
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_graph/graph_traversal/" >
< span class = "md-ellipsis" >
9.3 图的遍历
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_graph/summary/" >
< span class = "md-ellipsis" >
9.4 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_11" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_searching/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< 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" >
< / path >
< / 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 aria-expanded = "false" aria-labelledby = "__nav_11_label" class = "md-nav" data-md-level = "1" >
< 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 class = "md-nav__link" href = "chapter_searching/binary_search/" >
< span class = "md-ellipsis" >
10.1 二分查找
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_searching/binary_search_insertion/" >
< span class = "md-ellipsis" >
10.2 二分查找插入点
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_searching/binary_search_edge/" >
< span class = "md-ellipsis" >
10.3 二分查找边界
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_searching/replace_linear_by_hashing/" >
< span class = "md-ellipsis" >
10.4 哈希优化策略
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_searching/searching_algorithm_revisited/" >
< span class = "md-ellipsis" >
10.5 重识搜索算法
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_searching/summary/" >
< 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" id = "__nav_12" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_sorting/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M19 17h3l-4 4-4-4h3V3h2M2 17h10v2H2M6 5v2H2V5m0 6h7v2H2v-2Z" >
< / path >
< / 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 aria-expanded = "false" aria-labelledby = "__nav_12_label" class = "md-nav" data-md-level = "1" >
< 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 class = "md-nav__link" href = "chapter_sorting/sorting_algorithm/" >
< span class = "md-ellipsis" >
11.1 排序算法
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/selection_sort/" >
< span class = "md-ellipsis" >
11.2 选择排序
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/bubble_sort/" >
< span class = "md-ellipsis" >
11.3 冒泡排序
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/insertion_sort/" >
< span class = "md-ellipsis" >
11.4 插入排序
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/quick_sort/" >
< span class = "md-ellipsis" >
11.5 快速排序
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/merge_sort/" >
< span class = "md-ellipsis" >
11.6 归并排序
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/heap_sort/" >
< span class = "md-ellipsis" >
11.7 堆排序
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/bucket_sort/" >
< span class = "md-ellipsis" >
11.8 桶排序
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/counting_sort/" >
< span class = "md-ellipsis" >
11.9 计数排序
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/radix_sort/" >
< span class = "md-ellipsis" >
11.10 基数排序
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_sorting/summary/" >
< 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" id = "__nav_13" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_divide_and_conquer/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M17 7v2h5V7h-5M2 9v6h5V9H2m10 0v2H9v2h3v2l3-3-3-3m5 2v2h5v-2h-5m0 4v2h5v-2h-5Z" >
< / path >
< / 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 aria-expanded = "false" aria-labelledby = "__nav_13_label" class = "md-nav" data-md-level = "1" >
< 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 class = "md-nav__link" href = "chapter_divide_and_conquer/divide_and_conquer/" >
< span class = "md-ellipsis" >
12.1 分治算法
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_divide_and_conquer/binary_search_recur/" >
< span class = "md-ellipsis" >
12.2 分治搜索策略
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_divide_and_conquer/build_binary_tree_problem/" >
< span class = "md-ellipsis" >
12.3 构建树问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_divide_and_conquer/hanota_problem/" >
< span class = "md-ellipsis" >
12.4 汉诺塔问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_divide_and_conquer/summary/" >
< 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" id = "__nav_14" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_backtracking/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< 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" >
< / path >
< / 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 aria-expanded = "false" aria-labelledby = "__nav_14_label" class = "md-nav" data-md-level = "1" >
< 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 class = "md-nav__link" href = "chapter_backtracking/backtracking_algorithm/" >
< span class = "md-ellipsis" >
13.1 回溯算法
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_backtracking/permutations_problem/" >
< span class = "md-ellipsis" >
13.2 全排列问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_backtracking/subset_sum_problem/" >
< span class = "md-ellipsis" >
13.3 子集和问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_backtracking/n_queens_problem/" >
< span class = "md-ellipsis" >
13.4 N 皇后问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_backtracking/summary/" >
< span class = "md-ellipsis" >
13.5 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_15" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_dynamic_programming/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M22 15h-2v3c0 1.11-.89 2-2 2h-3v2l-3-3 3-3v2h3v-3h-2l3-3 3 3m0-11v4c0 1.1-.9 2-2 2H10v10c0 1.1-.9 2-2 2H4c-1.1 0-2-.9-2-2V4c0-1.1.9-2 2-2h16c1.1 0 2 .9 2 2M4 8h4V4H4v4m0 2v4h4v-4H4m4 10v-4H4v4h4m6-12V4h-4v4h4m6-4h-4v4h4V4Z" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 14 章 动态规划
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_15" id = "__nav_15_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_15_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_15" >
< span class = "md-nav__icon md-icon" >
< / span >
第 14 章 动态规划
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_dynamic_programming/intro_to_dynamic_programming/" >
< span class = "md-ellipsis" >
14.1 初探动态规划
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_dynamic_programming/dp_problem_features/" >
< span class = "md-ellipsis" >
14.2 DP 问题特性
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_dynamic_programming/dp_solution_pipeline/" >
< span class = "md-ellipsis" >
14.3 DP 解题思路
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_dynamic_programming/knapsack_problem/" >
< span class = "md-ellipsis" >
14.4 0-1 背包问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_dynamic_programming/unbounded_knapsack_problem/" >
< span class = "md-ellipsis" >
14.5 完全背包问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_dynamic_programming/edit_distance_problem/" >
< span class = "md-ellipsis" >
14.6 编辑距离问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_dynamic_programming/summary/" >
< span class = "md-ellipsis" >
14.7 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_16" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_greedy/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M13 3c3.88 0 7 3.14 7 7 0 2.8-1.63 5.19-4 6.31V21H9v-3H8c-1.11 0-2-.89-2-2v-3H4.5c-.42 0-.66-.5-.42-.81L6 9.66A7.003 7.003 0 0 1 13 3m0-2C8.41 1 4.61 4.42 4.06 8.9L2.5 11h-.03l-.02.03c-.55.76-.62 1.76-.19 2.59.36.69 1 1.17 1.74 1.32V16c0 1.85 1.28 3.42 3 3.87V23h11v-5.5c2.5-1.67 4-4.44 4-7.5 0-4.97-4.04-9-9-9m4 7.83c0 1.54-1.36 2.77-3.42 4.64L13 14l-.58-.53C10.36 11.6 9 10.37 9 8.83c0-1.2.96-2.19 2.16-2.2h.04c.69 0 1.35.31 1.8.83.45-.52 1.11-.83 1.8-.83 1.2-.01 2.2.96 2.2 2.16v.04Z" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 15 章 贪心
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_16" id = "__nav_16_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_16_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_16" >
< span class = "md-nav__icon md-icon" >
< / span >
第 15 章 贪心
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_greedy/greedy_algorithm/" >
< span class = "md-ellipsis" >
15.1 贪心算法
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_greedy/fractional_knapsack_problem/" >
< span class = "md-ellipsis" >
15.2 分数背包问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_greedy/max_capacity_problem/" >
< span class = "md-ellipsis" >
15.3 最大容量问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_greedy/max_product_cutting_problem/" >
< span class = "md-ellipsis" >
15.4 最大切分乘积问题
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_greedy/summary/" >
< span class = "md-ellipsis" >
15.5 小结
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_17" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_appendix/" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M11 18h2v-2h-2v2m1-16A10 10 0 0 0 2 12a10 10 0 0 0 10 10 10 10 0 0 0 10-10A10 10 0 0 0 12 2m0 18c-4.41 0-8-3.59-8-8s3.59-8 8-8 8 3.59 8 8-3.59 8-8 8m0-14a4 4 0 0 0-4 4h2a2 2 0 0 1 2-2 2 2 0 0 1 2 2c0 2-3 1.75-3 5h2c0-2.25 3-2.5 3-5a4 4 0 0 0-4-4Z" >
< / path >
< / svg >
< span class = "md-ellipsis" >
第 16 章 附录
< / span >
< / a >
< label class = "md-nav__link" for = "__nav_17" id = "__nav_17_label" tabindex = "0" >
< span class = "md-nav__icon md-icon" >
< / span >
< / label >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_17_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_17" >
< span class = "md-nav__icon md-icon" >
< / span >
第 16 章 附录
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_appendix/installation/" >
< span class = "md-ellipsis" >
16.1 编程环境安装
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_appendix/contribution/" >
< span class = "md-ellipsis" >
16.2 一起参与创作
< / span >
< / a >
< / li >
< li class = "md-nav__item" >
< a class = "md-nav__link" href = "chapter_appendix/terminology/" >
< span class = "md-ellipsis" >
16.3 术语表
< / span >
< span class = "md-status md-status--new" title = "最近添加" >
< / span >
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle" id = "__nav_18" type = "checkbox" / >
< div class = "md-nav__link md-nav__container" >
< a class = "md-nav__link" href = "chapter_reference/" >
< span class = "md-ellipsis" >
参考文献
< / span >
< / a >
< / div >
< nav aria-expanded = "false" aria-labelledby = "__nav_18_label" class = "md-nav" data-md-level = "1" >
< label class = "md-nav__title" for = "__nav_18" >
< span class = "md-nav__icon md-icon" >
< / span >
参考文献
< / label >
< ul class = "md-nav__list" data-md-scrollfix = "" >
< / ul >
< / nav >
< / li >
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / div >
2024-02-29 20:54:40 +08:00
< / div >
< / div >
< div class = "md-sidebar md-sidebar--secondary" data-md-component = "sidebar" data-md-type = "toc" hidden = "" >
< div class = "md-sidebar__scrollwrap" >
< div class = "md-sidebar__inner" >
< nav aria-label = "目录" class = "md-nav md-nav--secondary" >
< / nav >
2023-02-08 14:54:41 +08:00
< / div >
< / div >
2024-02-29 20:54:40 +08:00
< / div >
< div class = "md-content" data-md-component = "content" >
< article class = "md-content__inner md-typeset" >
< nav aria-label = "页脚" class = "md-footer__inner md-grid" >
< / nav >
< / article >
< / div >
< script >
var tabs=__md_get("__tabs");if(Array.isArray(tabs))e:for(var set of document.querySelectorAll(".tabbed-set")){var tab,labels=set.querySelector(".tabbed-labels");for(tab of tabs)for(var label of labels.getElementsByTagName("label"))if(label.innerText.trim()===tab){var input=document.getElementById(label.htmlFor);input.checked=!0;continue e}}
< / script >
< script >
var target=document.getElementById(location.hash.slice(1));target& & target.name& & (target.checked=target.name.startsWith("__tabbed_"))
< / script >
2023-02-08 14:54:41 +08:00
< / div >
2024-02-29 20:54:40 +08:00
< button class = "md-top md-icon" data-md-component = "top" hidden = "" type = "button" >
< svg viewbox = "0 0 24 24" xmlns = "http://www.w3.org/2000/svg" >
< path d = "M13 20h-2V8l-5.5 5.5-1.42-1.42L12 4.16l7.92 7.92-1.42 1.42L13 8v12Z" >
< / path >
< / svg >
回到页面顶部
< / button >
2023-02-08 14:54:41 +08:00
< / main >
2024-02-29 20:54:40 +08:00
< footer class = "md-footer" >
< div class = "md-footer-meta md-typeset" >
< div class = "md-footer-meta__inner md-grid" >
< div class = "md-copyright" >
< div class = "md-copyright__highlight" >
Copyright © 2022-2024 krahetsThe website content is licensed under
< a href = "https://creativecommons.org/licenses/by-nc-sa/4.0/" >
CC BY-NC-SA 4.0
< / a >
< / div >
< / div >
< div class = "md-social" >
< a class = "md-social__link" href = "https://github.com/krahets" rel = "noopener" target = "_blank" title = "github.com" >
< svg viewbox = "0 0 496 512" xmlns = "http://www.w3.org/2000/svg" >
<!-- ! 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" >
< / path >
< / svg >
< / a >
< a class = "md-social__link" href = "https://twitter.com/krahets" rel = "noopener" target = "_blank" title = "twitter.com" >
< svg viewbox = "0 0 512 512" xmlns = "http://www.w3.org/2000/svg" >
<!-- ! 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 = "M459.37 151.716c.325 4.548.325 9.097.325 13.645 0 138.72-105.583 298.558-298.558 298.558-59.452 0-114.68-17.219-161.137-47.106 8.447.974 16.568 1.299 25.34 1.299 49.055 0 94.213-16.568 130.274-44.832-46.132-.975-84.792-31.188-98.112-72.772 6.498.974 12.995 1.624 19.818 1.624 9.421 0 18.843-1.3 27.614-3.573-48.081-9.747-84.143-51.98-84.143-102.985v-1.299c13.969 7.797 30.214 12.67 47.431 13.319-28.264-18.843-46.781-51.005-46.781-87.391 0-19.492 5.197-37.36 14.294-52.954 51.655 63.675 129.3 105.258 216.365 109.807-1.624-7.797-2.599-15.918-2.599-24.04 0-57.828 46.782-104.934 104.934-104.934 30.213 0 57.502 12.67 76.67 33.137 23.715-4.548 46.456-13.32 66.599-25.34-7.798 24.366-24.366 44.833-46.132 57.827 21.117-2.273 41.584-8.122 60.426-16.243-14.292 20.791-32.161 39.308-52.628 54.253z" >
< / path >
< / svg >
< / a >
< a class = "md-social__link" href = "https://leetcode.cn/u/jyd/" rel = "noopener" target = "_blank" title = "leetcode.cn" >
< svg viewbox = "0 0 640 512" xmlns = "http://www.w3.org/2000/svg" >
<!-- ! 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 = "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 45.3l89.3 89.4-89.4 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" >
< / path >
< / svg >
< / a >
< / div >
< / div >
< / div >
< / footer >
2023-02-08 14:54:41 +08:00
< / div >
< div class = "md-dialog" data-md-component = "dialog" >
2024-02-29 20:54:40 +08:00
< div class = "md-dialog__inner md-typeset" >
< / div >
2023-02-08 14:54:41 +08:00
< / div >
2024-02-29 20:54:40 +08:00
< script id = "__config" type = "application/json" >
{"base": ".", "features": ["announce.dismiss", "content.action.edit", "content.code.annotate", "content.code.copy", "content.tabs.link", "content.tooltips", "navigation.indexes", "navigation.top", "navigation.footer", "navigation.tracking", "search.highlight", "search.share", "search.suggest", "toc.follow"], "search": "assets/javascripts/workers/search.b8dbb3d2.min.js", "translations": {"clipboard.copied": "\u5df2\u590d\u5236", "clipboard.copy": "\u590d\u5236", "search.result.more.one": "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.more.other": "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 # \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.none": "\u6ca1\u6709\u627e\u5230\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.one": "\u627e\u5230 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.other": "# \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c", "search.result.placeholder": "\u952e\u5165\u4ee5\u5f00\u59cb\u641c\u7d22", "search.result.term.missing": "\u7f3a\u5c11", "select.version": "\u9009\u62e9\u5f53\u524d\u7248\u672c"}}
< / script >
< script src = "assets/javascripts/bundle.c18c5fb9.min.js" >
< / script >
< script src = "javascripts/mathjax.js" >
< / script >
< script src = "https://polyfill.io/v3/polyfill.min.js?features=es6" >
< / script >
< script src = "https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js" >
< / script >
2023-09-23 04:53:48 +08:00
< / body >
2023-02-08 14:54:41 +08:00
< / html >