2023-02-08 14:54:41 +08:00
<!doctype html>
< html lang = "zh" class = "no-js" >
< head >
< meta charset = "utf-8" >
< meta name = "viewport" content = "width=device-width,initial-scale=1" >
2023-06-22 00:23:01 +08:00
< meta name = "description" content = "动画图解、一键运行的数据结构与算法教程" >
2023-02-08 14:54:41 +08:00
< meta name = "author" content = "Krahets" >
< link rel = "canonical" href = "https://www.hello-algo.com/chapter_array_and_linkedlist/summary/" >
2023-11-26 02:06:45 +08:00
< link rel = "prev" href = "../ram_and_cache/" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
< link rel = "next" href = "../../chapter_stack_and_queue/" >
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
< link rel = "icon" href = "../../assets/images/favicon.png" >
2023-12-14 02:56:10 +08:00
< meta name = "generator" content = "mkdocs-1.5.3, mkdocs-material-9.5.2" >
2023-02-08 14:54:41 +08:00
2023-11-26 02:06:45 +08:00
< title > 4.5 < / title >
2023-02-08 14:54:41 +08:00
2023-12-14 02:56:10 +08:00
< link rel = "stylesheet" href = "../../assets/stylesheets/main.50c56a3b.min.css" >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< link rel = "stylesheet" href = "../../assets/stylesheets/palette.06af60db.min.css" >
2023-02-08 14:54:41 +08:00
2023-09-24 17:12:06 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
< link rel = "preconnect" href = "https://fonts.gstatic.com" crossorigin >
< link rel = "stylesheet" href = "https://fonts.googleapis.com/css?family=Noto+Sans+SC:300,300i,400,400i,700,700i%7CFira+Code:400,400i,700,700i&display=fallback" >
< style > : root { --md-text-font : "Noto Sans SC" ; --md-code-font : "Fira Code" } < / style >
< link rel = "stylesheet" href = "../../stylesheets/extra.css" >
< 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 >
2023-09-22 13:08:10 +08:00
< link href = "../../assets/stylesheets/glightbox.min.css" rel = "stylesheet" / > < style >
html.glightbox-open { overflow: initial; height: 100%; }
.gslide-title { margin-top: 0px; user-select: text; }
.gslide-desc { color: #666; user-select: text; }
.gslide-image img { background: white; }
.gscrollbar-fixer { padding-right: 15px; }
.gdesc-inner { font-size: 0.75rem; }
body[data-md-color-scheme="slate"] .gdesc-inner { background: var(--md-default-bg-color);}
body[data-md-color-scheme="slate"] .gslide-title { color: var(--md-default-fg-color);}
body[data-md-color-scheme="slate"] .gslide-desc { color: var(--md-default-fg-color);}
< / style > < script src = "../../assets/javascripts/glightbox.min.js" > < / script > < / head >
2023-02-08 14:54:41 +08:00
2023-05-31 01:03:26 +08:00
< body dir = "ltr" data-md-color-scheme = "default" data-md-color-primary = "white" data-md-color-accent = "indigo" >
2023-02-08 14:54:41 +08:00
< input class = "md-toggle" data-md-toggle = "drawer" type = "checkbox" id = "__drawer" autocomplete = "off" >
< input class = "md-toggle" data-md-toggle = "search" type = "checkbox" id = "__search" autocomplete = "off" >
< label class = "md-overlay" for = "__drawer" > < / label >
< div data-md-component = "skip" >
2023-11-26 02:06:45 +08:00
< a href = "#45" class = "md-skip" >
2023-02-08 14:54:41 +08:00
跳转至
< / a >
< / div >
< div data-md-component = "announce" >
< / div >
2023-03-09 02:39:52 +08:00
< header class = "md-header md-header--shadow" data-md-component = "header" >
2023-02-08 14:54:41 +08:00
< nav class = "md-header__inner md-grid" aria-label = "页眉" >
< a href = "../.." title = "Hello 算法" class = "md-header__button md-logo" aria-label = "Hello 算法" data-md-component = "logo" >
2023-11-08 00:42:43 +08:00
< img src = "../../assets/images/logo.svg" alt = "logo" >
2023-02-08 14:54:41 +08:00
< / a >
< label class = "md-header__button md-icon" for = "__drawer" >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M3 6h18v2H3V6m0 5h18v2H3v-2m0 5h18v2H3v-2Z" / > < / 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" >
2023-11-26 02:06:45 +08:00
4.5 小结
2023-02-08 14:54:41 +08:00
< / span >
< / div >
< / div >
< / div >
2023-05-31 01:03:26 +08:00
< form class = "md-header__option" data-md-component = "palette" >
2023-09-24 17:12:06 +08:00
2023-12-07 20:12:31 +08:00
< input class = "md-option" data-md-color-media = "" data-md-color-scheme = "default" data-md-color-primary = "white" data-md-color-accent = "indigo" aria-label = "Switch to dark mode" type = "radio" name = "__palette" id = "__palette_0" >
2023-09-24 17:12:06 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-header__button md-icon" title = "Switch to dark mode" for = "__palette_1" hidden >
2023-09-24 17:12:06 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
< / label >
2023-12-07 20:12:31 +08:00
< input class = "md-option" data-md-color-media = "" data-md-color-scheme = "slate" data-md-color-primary = "grey" data-md-color-accent = "indigo" aria-label = "Switch to light mode" type = "radio" name = "__palette" id = "__palette_1" >
2023-09-24 17:12:06 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-header__button md-icon" title = "Switch to light mode" for = "__palette_0" hidden >
2023-09-24 17:12:06 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
< / label >
< / form >
2023-05-31 01:03:26 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< 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 >
2023-10-06 13:31:31 +08:00
< div class = "md-header__option" >
< div class = "md-select" >
< button class = "md-header__button md-icon" aria-label = "选择当前语言" >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
< / button >
< div class = "md-select__inner" >
< ul class = "md-select__list" >
< li class = "md-select__item" >
< a href = "/" hreflang = "zh" class = "md-select__link" >
中文
< / a >
< / li >
2023-12-22 00:01:12 +08:00
< li class = "md-select__item" >
< a href = "/en/" hreflang = "en" class = "md-select__link" >
English
< / a >
< / li >
2023-10-06 13:31:31 +08:00
< / ul >
< / div >
< / div >
< / div >
2023-02-08 14:54:41 +08:00
< label class = "md-header__button md-icon" for = "__search" >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / 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 type = "text" class = "md-search__input" name = "query" aria-label = "搜索" placeholder = "搜索" autocapitalize = "off" autocorrect = "off" autocomplete = "off" spellcheck = "false" data-md-component = "search-query" required >
< label class = "md-search__icon md-icon" for = "__search" >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M20 11v2H8l5.5 5.5-1.42 1.42L4.16 12l7.92-7.92L13.5 5.5 8 11h12Z" / > < / svg >
< / label >
< nav class = "md-search__options" aria-label = "查找" >
< a href = "javascript:void(0)" class = "md-search__icon md-icon" title = "分享" aria-label = "分享" data-clipboard data-clipboard-text = "" data-md-component = "search-share" tabindex = "-1" >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
< 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 >
< / a >
< button type = "reset" class = "md-search__icon md-icon" title = "清空当前内容" aria-label = "清空当前内容" tabindex = "-1" >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / 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 href = "https://github.com/krahets/hello-algo" title = "前往仓库" class = "md-source" data-md-component = "source" >
< div class = "md-source__icon md-icon" >
2023-12-07 20:12:31 +08:00
< 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 >
2023-02-08 14:54:41 +08:00
< / div >
< div class = "md-source__repository" >
krahets/hello-algo
< / div >
< / a >
< / div >
< / nav >
< / header >
< div class = "md-container" data-md-component = "container" >
< main class = "md-main" data-md-component = "main" >
< div class = "md-main__inner md-grid" >
< div class = "md-sidebar md-sidebar--primary" data-md-component = "sidebar" data-md-type = "navigation" >
< div class = "md-sidebar__scrollwrap" >
< div class = "md-sidebar__inner" >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
< nav class = "md-nav md-nav--primary" aria-label = "导航栏" data-md-level = "0" >
< label class = "md-nav__title" for = "__drawer" >
< a href = "../.." title = "Hello 算法" class = "md-nav__button md-logo" aria-label = "Hello 算法" data-md-component = "logo" >
2023-11-08 00:42:43 +08:00
< img src = "../../assets/images/logo.svg" alt = "logo" >
2023-02-08 14:54:41 +08:00
< / a >
Hello 算法
< / label >
< div class = "md-nav__source" >
< a href = "https://github.com/krahets/hello-algo" title = "前往仓库" class = "md-source" data-md-component = "source" >
< div class = "md-source__icon md-icon" >
2023-12-07 20:12:31 +08:00
< 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 >
2023-02-08 14:54:41 +08:00
< / div >
< div class = "md-source__repository" >
krahets/hello-algo
< / div >
< / a >
< / div >
< ul class = "md-nav__list" data-md-scrollfix >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-03-03 20:34:57 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_1" >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_preface/" class = "md-nav__link " >
< 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" >
2023-08-19 22:07:40 +08:00
第 0 章 前言
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_1" id = "__nav_1_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_1_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_1" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 0 章 前言
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_preface/about_the_book/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
0.1 关于本书
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_preface/suggestions/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
0.2 如何使用本书
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-03 20:34:57 +08:00
2023-07-17 17:51:12 +08:00
2023-03-03 20:34:57 +08:00
2023-12-07 20:12:31 +08:00
2023-03-03 20:34:57 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_preface/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
0.3 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-03-03 20:34:57 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-03 20:34:57 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-26 22:45:57 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_2" >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_introduction/" class = "md-nav__link " >
2023-07-19 16:10:17 +08:00
< 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 >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 1 章 初识算法
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_2" id = "__nav_2_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_2_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_2" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 1 章 初识算法
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_introduction/algorithms_are_everywhere/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
1.1 算法无处不在
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_introduction/what_is_dsa/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
1.2 算法是什么
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-26 22:45:57 +08:00
2023-07-17 17:51:12 +08:00
2023-02-26 22:45:57 +08:00
2023-12-07 20:12:31 +08:00
2023-02-26 22:45:57 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_introduction/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
1.3 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-26 22:45:57 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-26 22:45:57 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-08-24 17:47:31 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_3" >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_computational_complexity/" class = "md-nav__link " >
< 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 >
< span class = "md-ellipsis" >
2023-08-28 04:36:05 +08:00
第 2 章 复杂度分析
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_3" id = "__nav_3_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_3_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_3" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-28 04:36:05 +08:00
第 2 章 复杂度分析
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_computational_complexity/performance_evaluation/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
2.1 算法效率评估
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-08-24 17:47:31 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_computational_complexity/iteration_and_recursion/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2.2 迭代与递归
< / span >
< / a >
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_computational_complexity/time_complexity/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-24 17:47:31 +08:00
2.3 时间复杂度
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_computational_complexity/space_complexity/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-24 17:47:31 +08:00
2.4 空间复杂度
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_computational_complexity/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-24 17:47:31 +08:00
2.5 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-05-17 04:37:57 +08:00
2023-07-17 17:51:12 +08:00
2023-05-17 04:37:57 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_4" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_data_structure/" class = "md-nav__link " >
2023-02-08 14:54:41 +08:00
2023-07-19 16:10:17 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 3 章 数据结构
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_4" id = "__nav_4_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_4_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_4" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 3 章 数据结构
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-07-17 17:51:12 +08:00
< a href = "../../chapter_data_structure/classification_of_data_structure/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
3.1 数据结构分类
2023-07-17 17:51:12 +08:00
< / span >
2023-05-17 04:37:57 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-17 04:37:57 +08:00
2023-07-17 17:51:12 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_data_structure/basic_data_types/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
3.2 基本数据类型
2023-07-17 17:51:12 +08:00
< / span >
< / a >
< / li >
2023-05-17 04:37:57 +08:00
2023-07-17 17:51:12 +08:00
2023-05-17 04:37:57 +08:00
2023-12-07 20:12:31 +08:00
2023-05-17 04:37:57 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_data_structure/number_encoding/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
3.3 数字编码 *
2023-07-17 17:51:12 +08:00
< / span >
2023-05-17 04:37:57 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-17 04:37:57 +08:00
2023-07-17 17:51:12 +08:00
2023-05-17 04:37:57 +08:00
2023-12-07 20:12:31 +08:00
2023-05-17 04:37:57 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_data_structure/character_encoding/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
3.4 字符编码 *
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_data_structure/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
3.5 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-11-26 02:06:45 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--active md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_5" checked >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../" class = "md-nav__link " >
2023-07-19 16:10:17 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M3 5v14h17V5H3m4 2v2H5V7h2m-2 6v-2h2v2H5m0 2h2v2H5v-2m13 2H9v-2h9v2m0-4H9v-2h9v2m0-4H9V7h9v2Z" / > < / svg >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 4 章 数组与链表
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_5" id = "__nav_5_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_5_label" aria-expanded = "true" >
< label class = "md-nav__title" for = "__nav_5" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 4 章 数组与链表
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../array/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
4.1 数组
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../linked_list/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
4.2 链表
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../list/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
4.3 列表
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-11-26 02:06:45 +08:00
2023-12-07 20:12:31 +08:00
2023-11-26 02:06:45 +08:00
< li class = "md-nav__item" >
< a href = "../ram_and_cache/" class = "md-nav__link" >
< 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 >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item md-nav__item--active" >
< input class = "md-nav__toggle md-toggle" type = "checkbox" id = "__toc" >
2023-05-26 21:30:26 +08:00
< label class = "md-nav__link md-nav__link--active" for = "__toc" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-11-26 02:06:45 +08:00
4.5 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-05-26 21:30:26 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
2023-02-08 14:54:41 +08:00
< a href = "./" class = "md-nav__link md-nav__link--active" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-11-26 02:06:45 +08:00
4.5 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
2023-05-26 21:30:26 +08:00
< nav class = "md-nav md-nav--secondary" aria-label = "目录" >
< label class = "md-nav__title" for = "__toc" >
< span class = "md-nav__icon md-icon" > < / span >
目录
< / label >
< ul class = "md-nav__list" data-md-component = "toc" data-md-scrollfix >
< li class = "md-nav__item" >
2023-08-29 20:57:26 +08:00
< a href = "#1" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
1. 重点回顾
< / span >
2023-08-29 20:57:26 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
< a href = "#2-q-a" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
2. Q & A
< / span >
2023-05-26 21:30:26 +08:00
< / a >
< / li >
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_6" >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_stack_and_queue/" class = "md-nav__link " >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 5 章 栈与队列
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_6" id = "__nav_6_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_6_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_6" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 5 章 栈与队列
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_stack_and_queue/stack/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
5.1 栈
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_stack_and_queue/queue/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
5.2 队列
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_stack_and_queue/deque/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
5.3 双向队列
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_stack_and_queue/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
5.4 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:07:42 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-06-16 21:22:53 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_7" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_hashing/" class = "md-nav__link " >
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-21 03:56:52 +08:00
第 6 章 哈希表
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
< / a >
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_7" id = "__nav_7_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_7_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_7" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-21 03:56:52 +08:00
第 6 章 哈希表
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
2023-07-17 17:51:12 +08:00
< a href = "../../chapter_hashing/hash_map/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
6.1 哈希表
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_hashing/hash_collision/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
6.2 哈希冲突
2023-07-17 17:51:12 +08:00
< / span >
< / a >
< / li >
2023-05-21 19:07:42 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:07:42 +08:00
2023-12-07 20:12:31 +08:00
2023-06-16 21:22:53 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_hashing/hash_algorithm/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
6.3 哈希算法
2023-07-17 17:51:12 +08:00
< / span >
2023-06-16 21:22:53 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-16 21:22:53 +08:00
2023-07-17 17:51:12 +08:00
2023-06-16 21:22:53 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:07:42 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_hashing/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
6.4 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:07:42 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:07:42 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_8" >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_tree/" class = "md-nav__link " >
< 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 >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 7 章 树
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_8" id = "__nav_8_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_8_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_8" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 7 章 树
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_tree/binary_tree/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.1 二叉树
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_tree/binary_tree_traversal/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.2 二叉树遍历
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_tree/array_representation_of_tree/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.3 二叉树数组表示
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_tree/binary_search_tree/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.4 二叉搜索树
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_tree/avl_tree/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.5 AVL 树 *
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_tree/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.6 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-26 20:11:54 +08:00
2023-07-17 17:51:12 +08:00
2023-02-26 22:45:57 +08:00
2023-07-17 17:51:12 +08:00
2023-06-12 23:05:10 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_9" >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_heap/" class = "md-nav__link " >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 8 章 堆
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_9" id = "__nav_9_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_9_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_9" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 8 章 堆
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_heap/heap/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
8.1 堆
2023-07-17 17:51:12 +08:00
< / span >
2023-04-17 18:24:27 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-12-07 20:12:31 +08:00
2023-04-17 18:24:27 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_heap/build_heap/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
8.2 建堆操作
2023-07-17 17:51:12 +08:00
< / span >
2023-06-12 23:05:10 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-12 23:05:10 +08:00
2023-07-17 17:51:12 +08:00
2023-06-12 23:05:10 +08:00
2023-12-07 20:12:31 +08:00
2023-06-12 23:05:10 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_heap/top_k/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-12-28 17:18:44 +08:00
8.3 Top-k 问题
2023-07-17 17:51:12 +08:00
< / span >
2023-04-17 18:24:27 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-12-07 20:12:31 +08:00
2023-04-17 18:24:27 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_heap/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
8.4 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-26 22:45:57 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-26 22:45:57 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-15 03:42:47 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_10" >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_graph/" class = "md-nav__link " >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 9 章 图
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_10" id = "__nav_10_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_10_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_10" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 9 章 图
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_graph/graph/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
9.1 图
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-15 03:42:47 +08:00
2023-07-17 17:51:12 +08:00
2023-02-15 03:42:47 +08:00
2023-12-07 20:12:31 +08:00
2023-02-15 03:42:47 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_graph/graph_operations/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
9.2 图基础操作
2023-07-17 17:51:12 +08:00
< / span >
2023-02-15 03:42:47 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-26 22:45:57 +08:00
2023-07-17 17:51:12 +08:00
2023-02-26 22:45:57 +08:00
2023-12-07 20:12:31 +08:00
2023-02-26 22:45:57 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_graph/graph_traversal/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
9.3 图的遍历
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_graph/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
9.4 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-26 22:45:57 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-26 22:45:57 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-08-04 05:25:00 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_11" >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_searching/" class = "md-nav__link " >
< 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" >
2023-08-19 22:07:40 +08:00
第 10 章 搜索
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_11" id = "__nav_11_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< 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 >
2023-08-19 22:07:40 +08:00
第 10 章 搜索
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_searching/binary_search/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
10.1 二分查找
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-08-04 05:25:00 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_searching/binary_search_insertion/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
10.2 二分查找插入点
2023-08-04 05:25:00 +08:00
< / span >
< / a >
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_searching/binary_search_edge/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
10.3 二分查找边界
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_searching/replace_linear_by_hashing/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
10.4 哈希优化策略
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_searching/searching_algorithm_revisited/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
10.5 重识搜索算法
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_searching/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
10.6 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-03-19 23:38:24 +08:00
2023-07-17 17:51:12 +08:00
2023-05-24 00:32:47 +08:00
2023-07-17 17:51:12 +08:00
2023-05-26 04:48:01 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 04:45:30 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_12" >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< 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" >
2023-08-19 22:07:40 +08:00
第 11 章 排序
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_12" id = "__nav_12_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< 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 >
2023-08-19 22:07:40 +08:00
第 11 章 排序
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
2023-04-16 04:55:58 +08:00
< a href = "../../chapter_sorting/sorting_algorithm/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.1 排序算法
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-05-24 00:32:47 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_sorting/selection_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.2 选择排序
2023-07-17 17:51:12 +08:00
< / span >
2023-05-24 00:32:47 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-24 00:32:47 +08:00
2023-07-17 17:51:12 +08:00
2023-05-24 00:32:47 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_sorting/bubble_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.3 冒泡排序
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_sorting/insertion_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.4 插入排序
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_sorting/quick_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.5 快速排序
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_sorting/merge_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.6 归并排序
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
2023-05-26 04:48:01 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_sorting/heap_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.7 堆排序
2023-07-17 17:51:12 +08:00
< / span >
2023-05-26 04:48:01 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-26 04:48:01 +08:00
2023-07-17 17:51:12 +08:00
2023-05-26 04:48:01 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_sorting/bucket_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.8 桶排序
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-19 23:38:24 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_sorting/counting_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.9 计数排序
2023-07-17 17:51:12 +08:00
< / span >
2023-03-19 23:38:24 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-19 23:38:24 +08:00
2023-07-17 17:51:12 +08:00
2023-03-19 23:38:24 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 04:45:30 +08:00
< li class = "md-nav__item" >
2023-03-26 22:05:43 +08:00
< a href = "../../chapter_sorting/radix_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.10 基数排序
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 04:45:30 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 04:45:30 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 04:45:30 +08:00
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_sorting/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.11 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-02-27 03:45:08 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-07-17 02:17:51 +08:00
2023-07-17 20:19:46 +08:00
2023-07-17 17:51:12 +08:00
2023-07-17 04:21:02 +08:00
2023-07-16 04:19:01 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_13" >
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_divide_and_conquer/" class = "md-nav__link " >
2023-07-19 16:10:17 +08:00
< 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 >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 12 章 分治
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-07-16 04:19:01 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_13" id = "__nav_13_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< 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 >
2023-08-19 22:07:40 +08:00
第 12 章 分治
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-12-07 20:12:31 +08:00
2023-07-16 04:19:01 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_divide_and_conquer/divide_and_conquer/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.1 分治算法
2023-07-17 17:51:12 +08:00
< / span >
2023-07-16 04:19:01 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 04:21:02 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_divide_and_conquer/binary_search_recur/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.2 分治搜索策略
2023-07-17 17:51:12 +08:00
< / span >
2023-07-17 04:21:02 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-17 04:21:02 +08:00
2023-07-17 17:51:12 +08:00
2023-07-17 04:21:02 +08:00
2023-12-07 20:12:31 +08:00
2023-07-16 04:19:01 +08:00
< li class = "md-nav__item" >
2023-07-17 02:17:51 +08:00
< a href = "../../chapter_divide_and_conquer/build_binary_tree_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.3 构建树问题
2023-07-17 17:51:12 +08:00
< / span >
2023-07-16 04:19:01 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-17 02:17:51 +08:00
2023-07-17 17:51:12 +08:00
2023-07-17 02:17:51 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 02:17:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_divide_and_conquer/hanota_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.4 汉诺塔问题
2023-07-17 17:51:12 +08:00
< / span >
2023-07-17 02:17:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-17 02:17:51 +08:00
2023-07-17 20:19:46 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 20:19:46 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_divide_and_conquer/summary/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.5 小结
2023-07-17 20:19:46 +08:00
< / span >
< / a >
< / li >
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-07-16 04:19:01 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-06-21 02:55:52 +08:00
2023-07-17 17:51:12 +08:00
2023-06-22 00:23:01 +08:00
2023-02-27 03:45:08 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-27 03:45:08 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_14" >
2023-06-02 01:35:09 +08:00
2023-04-16 04:55:58 +08:00
2023-07-17 17:51:12 +08:00
< 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" >
2023-08-19 22:07:40 +08:00
第 13 章 回溯
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-04-16 04:55:58 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_14" id = "__nav_14_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< 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 >
2023-08-19 22:07:40 +08:00
第 13 章 回溯
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-04-16 04:55:58 +08:00
2023-07-17 17:51:12 +08:00
2023-04-16 04:55:58 +08:00
2023-12-07 20:12:31 +08:00
2023-04-16 04:55:58 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_backtracking/backtracking_algorithm/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.1 回溯算法
2023-07-17 17:51:12 +08:00
< / span >
2023-04-17 18:24:27 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-12-07 20:12:31 +08:00
2023-04-17 18:24:27 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_backtracking/permutations_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.2 全排列问题
2023-07-17 17:51:12 +08:00
< / span >
2023-04-17 18:24:27 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-12-07 20:12:31 +08:00
2023-06-21 02:55:52 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_backtracking/subset_sum_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.3 子集和问题
2023-07-17 17:51:12 +08:00
< / span >
2023-06-21 02:55:52 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-21 02:55:52 +08:00
2023-07-17 17:51:12 +08:00
2023-06-21 02:55:52 +08:00
2023-12-07 20:12:31 +08:00
2023-04-17 18:24:27 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_backtracking/n_queens_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.4 N 皇后问题
2023-07-17 17:51:12 +08:00
< / span >
2023-04-16 04:55:58 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-22 00:23:01 +08:00
2023-07-17 17:51:12 +08:00
2023-06-22 00:23:01 +08:00
2023-12-07 20:12:31 +08:00
2023-06-22 00:23:01 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_backtracking/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.5 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-06-22 00:23:01 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-22 00:23:01 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-04-16 04:55:58 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-04-16 04:55:58 +08:00
2023-07-17 17:51:12 +08:00
2023-04-16 04:55:58 +08:00
2023-07-17 17:51:12 +08:00
2023-04-24 03:30:35 +08:00
2023-07-17 17:51:12 +08:00
2023-07-01 22:39:28 +08:00
2023-07-17 17:51:12 +08:00
2023-07-06 00:08:29 +08:00
2023-07-17 17:51:12 +08:00
2023-07-07 21:39:04 +08:00
2023-07-17 17:51:12 +08:00
2023-07-11 19:21:38 +08:00
2023-07-17 17:51:12 +08:00
2023-07-14 02:56:32 +08:00
2023-07-17 17:51:12 +08:00
2023-07-13 05:26:03 +08:00
2023-04-16 04:55:58 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-04-16 04:55:58 +08:00
2023-06-30 04:33:52 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_15" >
2023-06-30 04:33:52 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_dynamic_programming/" class = "md-nav__link " >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 14 章 动态规划
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-06-30 04:33:52 +08:00
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_15" id = "__nav_15_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_15_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_15" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 14 章 动态规划
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-30 04:33:52 +08:00
2023-07-17 17:51:12 +08:00
2023-06-30 04:33:52 +08:00
2023-12-07 20:12:31 +08:00
2023-06-30 04:33:52 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_dynamic_programming/intro_to_dynamic_programming/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
14.1 初探动态规划
2023-07-17 17:51:12 +08:00
< / span >
2023-07-01 22:39:28 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-01 22:39:28 +08:00
2023-07-17 17:51:12 +08:00
2023-07-01 22:39:28 +08:00
2023-12-07 20:12:31 +08:00
2023-07-01 22:39:28 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_dynamic_programming/dp_problem_features/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
14.2 DP 问题特性
2023-07-17 17:51:12 +08:00
< / span >
2023-06-30 04:33:52 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-06 00:08:29 +08:00
2023-07-17 17:51:12 +08:00
2023-07-06 00:08:29 +08:00
2023-12-07 20:12:31 +08:00
2023-07-07 21:39:04 +08:00
< li class = "md-nav__item" >
2023-07-09 03:02:15 +08:00
< a href = "../../chapter_dynamic_programming/dp_solution_pipeline/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
14.3 DP 解题思路
2023-07-17 17:51:12 +08:00
< / span >
2023-07-07 21:39:04 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-07 21:39:04 +08:00
2023-07-17 17:51:12 +08:00
2023-07-07 21:39:04 +08:00
2023-12-07 20:12:31 +08:00
2023-07-06 00:08:29 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_dynamic_programming/knapsack_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
14.4 0-1 背包问题
2023-07-17 17:51:12 +08:00
< / span >
2023-07-06 00:08:29 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-11 19:21:38 +08:00
2023-07-17 17:51:12 +08:00
2023-07-11 19:21:38 +08:00
2023-12-07 20:12:31 +08:00
2023-07-11 19:21:38 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_dynamic_programming/unbounded_knapsack_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
14.5 完全背包问题
2023-07-17 17:51:12 +08:00
< / span >
2023-07-11 19:21:38 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-13 05:26:03 +08:00
2023-07-17 17:51:12 +08:00
2023-07-13 05:26:03 +08:00
2023-12-07 20:12:31 +08:00
2023-07-13 05:26:03 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_dynamic_programming/edit_distance_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
14.6 编辑距离问题
2023-07-17 17:51:12 +08:00
< / span >
2023-07-13 05:26:03 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-14 02:56:32 +08:00
2023-07-17 17:51:12 +08:00
2023-07-14 02:56:32 +08:00
2023-12-07 20:12:31 +08:00
2023-07-14 02:56:32 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_dynamic_programming/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
14.7 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-07-14 02:56:32 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-14 02:56:32 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-06-30 04:33:52 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-06-30 04:33:52 +08:00
2023-07-17 17:51:12 +08:00
2023-06-30 04:33:52 +08:00
2023-07-17 17:51:12 +08:00
2023-06-30 04:33:52 +08:00
2023-07-17 17:51:12 +08:00
2023-07-21 21:53:15 +08:00
2023-07-21 22:50:40 +08:00
2023-07-21 15:14:51 +08:00
2023-06-30 04:33:52 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-06-30 04:33:52 +08:00
2023-07-17 17:51:12 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_16" >
2023-02-27 03:45:08 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
2023-07-20 18:24:35 +08:00
< a href = "../../chapter_greedy/" class = "md-nav__link " >
2023-07-17 17:51:12 +08:00
2023-07-20 18:24:35 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 15 章 贪心
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_16" id = "__nav_16_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_16_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_16" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 15 章 贪心
2023-07-20 18:24:35 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-12-07 20:12:31 +08:00
2023-07-20 18:24:35 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_greedy/greedy_algorithm/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
15.1 贪心算法
2023-07-20 18:24:35 +08:00
< / span >
< / a >
< / li >
2023-12-07 20:12:31 +08:00
2023-07-20 18:24:35 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_greedy/fractional_knapsack_problem/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
15.2 分数背包问题
2023-07-20 18:24:35 +08:00
< / span >
< / a >
< / li >
2023-07-21 15:14:51 +08:00
2023-12-07 20:12:31 +08:00
2023-07-21 15:14:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_greedy/max_capacity_problem/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
15.3 最大容量问题
2023-07-21 15:14:51 +08:00
< / span >
< / a >
< / li >
2023-07-21 21:53:15 +08:00
2023-12-07 20:12:31 +08:00
2023-07-21 21:53:15 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_greedy/max_product_cutting_problem/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
15.4 最大切分乘积问题
2023-07-21 21:53:15 +08:00
< / span >
< / a >
< / li >
2023-07-21 22:50:40 +08:00
2023-12-07 20:12:31 +08:00
2023-07-21 22:50:40 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_greedy/summary/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
15.5 小结
2023-07-21 22:50:40 +08:00
< / span >
< / a >
< / li >
2023-07-20 18:24:35 +08:00
< / ul >
< / nav >
< / li >
2023-12-07 20:12:31 +08:00
2023-07-20 18:24:35 +08:00
2023-10-30 04:59:19 +08:00
2023-07-20 18:24:35 +08:00
2023-12-07 20:12:31 +08:00
2023-07-20 18:24:35 +08:00
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_17" >
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_appendix/" class = "md-nav__link " >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < 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" / > < / svg >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 16 章 附录
2023-07-20 18:24:35 +08:00
< / span >
< / a >
2023-12-07 20:12:31 +08:00
< label class = "md-nav__link " for = "__nav_17" id = "__nav_17_label" tabindex = "0" >
2023-07-20 18:24:35 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_17_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_17" >
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 16 章 附录
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-02-27 03:45:08 +08:00
2023-07-17 17:51:12 +08:00
2023-02-27 03:45:08 +08:00
2023-12-07 20:12:31 +08:00
2023-02-27 03:45:08 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_appendix/installation/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
16.1 编程环境安装
2023-07-17 17:51:12 +08:00
< / span >
2023-02-27 03:45:08 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-27 03:45:08 +08:00
2023-07-17 17:51:12 +08:00
2023-02-27 03:45:08 +08:00
2023-12-07 20:12:31 +08:00
2023-02-27 03:45:08 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_appendix/contribution/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
16.2 一起参与创作
2023-07-17 17:51:12 +08:00
< / span >
2023-02-27 03:45:08 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-02-27 03:45:08 +08:00
2023-10-30 04:59:19 +08:00
2023-12-07 20:12:31 +08:00
2023-10-30 04:59:19 +08:00
< li class = "md-nav__item" >
2023-10-30 05:31:23 +08:00
< a href = "../../chapter_appendix/terminology/" class = "md-nav__link" >
2023-10-30 04:59:19 +08:00
< 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 >
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-02-27 03:45:08 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-02-27 03:45:08 +08:00
2023-07-17 17:51:12 +08:00
2023-02-27 03:45:08 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
2023-07-20 18:24:35 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_18" >
2023-07-17 17:51:12 +08:00
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_reference/" class = "md-nav__link " >
< span class = "md-ellipsis" >
参考文献
< / span >
< / a >
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +08:00
< / div >
2023-07-20 18:24:35 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_18_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_18" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
参考文献
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
< / ul >
< / nav >
2023-02-08 14:54:41 +08:00
< / li >
< / ul >
< / nav >
< / div >
< / div >
< / div >
< div class = "md-sidebar md-sidebar--secondary" data-md-component = "sidebar" data-md-type = "toc" >
< div class = "md-sidebar__scrollwrap" >
< div class = "md-sidebar__inner" >
< nav class = "md-nav md-nav--secondary" aria-label = "目录" >
2023-05-26 21:30:26 +08:00
< label class = "md-nav__title" for = "__toc" >
< span class = "md-nav__icon md-icon" > < / span >
目录
< / label >
< ul class = "md-nav__list" data-md-component = "toc" data-md-scrollfix >
< li class = "md-nav__item" >
2023-08-29 20:57:26 +08:00
< a href = "#1" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
1. 重点回顾
< / span >
2023-08-29 20:57:26 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
< a href = "#2-q-a" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
2. Q & A
< / span >
2023-05-26 21:30:26 +08:00
< / a >
< / li >
< / ul >
2023-02-08 14:54:41 +08:00
< / nav >
< / div >
< / div >
< / div >
< div class = "md-content" data-md-component = "content" >
< article class = "md-content__inner md-typeset" >
2023-12-06 22:28:53 +08:00
<!-- Tags -->
2023-09-21 20:44:52 +08:00
2023-12-06 22:28:53 +08:00
<!-- Actions -->
2023-09-21 20:44:52 +08:00
<!-- Actions -->
2023-02-08 14:54:41 +08:00
2023-12-06 22:28:53 +08:00
<!-- Edit button -->
2023-02-08 14:54:41 +08:00
2023-12-06 22:28:53 +08:00
< a
href="https://github.com/krahets/hello-algo/tree/main/docs/chapter_array_and_linkedlist/summary.md"
title="编辑此页"
class="md-content__button md-icon"
>
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > <!-- ! 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 = "M441 58.9 453.1 71c9.4 9.4 9.4 24.6 0 33.9L424 134.1 377.9 88 407 58.9c9.4-9.4 24.6-9.4 33.9 0zM209.8 256.2 344 121.9l46.1 46.1-134.3 134.2c-2.9 2.9-6.5 5-10.4 6.1L186.9 325l16.7-58.5c1.1-3.9 3.2-7.5 6.1-10.4zM373.1 25 175.8 222.2c-8.7 8.7-15 19.4-18.3 31.1l-28.6 100c-2.4 8.4-.1 17.4 6.1 23.6s15.2 8.5 23.6 6.1l100-28.6c11.8-3.4 22.5-9.7 31.1-18.3L487 138.9c28.1-28.1 28.1-73.7 0-101.8L474.9 25c-28.1-28.1-73.7-28.1-101.8 0zM88 64c-48.6 0-88 39.4-88 88v272c0 48.6 39.4 88 88 88h272c48.6 0 88-39.4 88-88V312c0-13.3-10.7-24-24-24s-24 10.7-24 24v112c0 22.1-17.9 40-40 40H88c-22.1 0-40-17.9-40-40V152c0-22.1 17.9-40 40-40h112c13.3 0 24-10.7 24-24s-10.7-24-24-24H88z" / > < / svg >
2023-02-08 14:54:41 +08:00
< / a >
2023-12-06 22:28:53 +08:00
<!-- View button -->
2023-09-21 20:44:52 +08:00
<!-- Page content -->
2023-11-26 02:06:45 +08:00
< h1 id = "45" > 4.5 小结< a class = "headerlink" href = "#45" title = "Permanent link" > ¶ < / a > < / h1 >
2023-08-29 20:57:26 +08:00
< h3 id = "1" > 1. 重点回顾< a class = "headerlink" href = "#1" title = "Permanent link" > ¶ < / a > < / h3 >
2023-02-08 14:54:41 +08:00
< ul >
2023-09-24 19:34:33 +08:00
< li > 数组和链表是两种基本的数据结构，分别代表数据在计算机内存中的两种存储方式：连续空间存储和分散空间存储。两者的特点呈现出互补的特性。< / li >
2023-04-07 22:32:13 +08:00
< li > 数组支持随机访问、占用内存较少；但插入和删除元素效率低，且初始化后长度不可变。< / li >
2023-12-28 17:18:44 +08:00
< li > 链表通过更改引用（指针）实现高效的节点插入与删除，且可以灵活调整长度；但节点访问效率低、占用内存较多。常见的链表类型包括单向链表、环形链表、双向链表。< / li >
< li > 列表是一种支持增删查改的元素有序集合，通常基于动态数组实现，它保留了数组的优势，同时可以灵活调整长度。< / li >
2023-10-23 03:10:12 +08:00
< li > 列表的出现大幅地提高了数组的实用性，但可能导致部分内存空间浪费。< / li >
2023-12-14 02:53:40 +08:00
< li > 程序运行时，数据主要存储在内存中。数组可提供更高的内存空间效率，而链表则在内存使用上更加灵活。< / li >
< li > 缓存通过缓存行、预取机制以及空间局部性和时间局部性等数据加载机制，为 CPU 提供快速数据访问，显著提升程序的执行效率。< / li >
2023-11-26 02:06:45 +08:00
< li > 由于数组具有更高的缓存命中率，因此它通常比链表更高效。在选择数据结构时，应根据具体需求和场景做出恰当选择。< / li >
2023-02-08 14:54:41 +08:00
< / ul >
2023-08-29 20:57:26 +08:00
< h3 id = "2-q-a" > 2. Q & A< a class = "headerlink" href = "#2-q-a" title = "Permanent link" > ¶ < / a > < / h3 >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：数组存储在栈上和存储在堆上，对时间效率和空间效率是否有影响？< / p >
2023-12-14 02:53:40 +08:00
< p > 存储在栈上和堆上的数组都被存储在连续内存空间内，数据操作效率基本一致。然而，栈和堆具有各自的特点，从而导致以下不同点。< / p >
2023-05-26 21:30:26 +08:00
< ol >
2023-09-13 05:29:09 +08:00
< li > 分配和释放效率：栈是一块较小的内存，分配由编译器自动完成；而堆内存相对更大，可以在代码中动态分配，更容易碎片化。因此，堆上的分配和释放操作通常比栈上的慢。< / li >
< li > 大小限制：栈内存相对较小，堆的大小一般受限于可用内存。因此堆更加适合存储大型数组。< / li >
< li > 灵活性：栈上的数组的大小需要在编译时确定，而堆上的数组的大小可以在运行时动态确定。< / li >
2023-05-26 21:30:26 +08:00
< / ol >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：为什么数组要求相同类型的元素，而在链表中却没有强调同类型呢？< / p >
2023-12-28 17:18:44 +08:00
< p > 链表由节点组成，节点之间通过引用（指针）连接，各个节点可以存储不同类型的数据，例如 < code > int< / code > 、< code > double< / code > 、< code > string< / code > 、< code > object< / code > 等。< / p >
< p > 相对地，数组元素则必须是相同类型的，这样才能通过计算偏移量来获取对应元素位置。例如，数组同时包含 < code > int< / code > 和 < code > long< / code > 两种类型，单个元素分别占用 4 字节 和 8 字节 ，此时就不能用以下公式计算偏移量了，因为数组中包含了两种“元素长度”。< / p >
2023-08-31 02:30:52 +08:00
< div class = "highlight" > < pre > < span > < / span > < code > < a id = "__codelineno-0-1" name = "__codelineno-0-1" href = "#__codelineno-0-1" > < / a > < span class = "c1" > # 元素内存地址 = 数组内存地址 + 元素长度 * 元素索引< / span >
2023-05-26 21:30:26 +08:00
< / code > < / pre > < / div >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：删除节点后，是否需要把 < code > P.next< / code > 设为 < code > None< / code > 呢？< / p >
2023-12-02 06:24:11 +08:00
< p > 不修改 < code > P.next< / code > 也可以。从该链表的角度看，从头节点遍历到尾节点已经不会遇到 < code > P< / code > 了。这意味着节点 < code > P< / code > 已经从链表中删除了，此时节点 < code > P< / code > 指向哪里都不会对该链表产生影响。< / p >
< p > 从垃圾回收的角度看，对于 Java、Python、Go 等拥有自动垃圾回收机制的语言来说，节点 < code > P< / code > 是否被回收取决于是否仍存在指向它的引用，而不是 < code > P.next< / code > 的值。在 C 和 C++ 等语言中，我们需要手动释放节点内存。< / p >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：在链表中插入和删除操作的时间复杂度是 < span class = "arithmatex" > \(O(1)\)< / span > 。但是增删之前都需要 < span class = "arithmatex" > \(O(n)\)< / span > 的时间查找元素，那为什么时间复杂度不是 < span class = "arithmatex" > \(O(n)\)< / span > 呢？< / p >
2023-12-02 06:24:11 +08:00
< p > 如果是先查找元素、再删除元素，时间复杂度确实是 < span class = "arithmatex" > \(O(n)\)< / span > 。然而，链表的 < span class = "arithmatex" > \(O(1)\)< / span > 增删的优势可以在其他应用上得到体现。例如，双向队列适合使用链表实现，我们维护一个指针变量始终指向头节点、尾节点，每次插入与删除操作都是 < span class = "arithmatex" > \(O(1)\)< / span > 。< / p >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：图“链表定义与存储方式”中，浅蓝色的存储节点指针是占用一块内存地址吗？还是和节点值各占一半呢？< / p >
2023-12-02 06:24:11 +08:00
< p > 该示意图只是定性表示，定量表示需要根据具体情况进行分析。< / p >
2023-05-26 21:30:26 +08:00
< ul >
2023-12-28 17:18:44 +08:00
< li > 不同类型的节点值占用的空间是不同的，比如 < code > int< / code > 、< code > long< / code > 、< code > double< / code > 和实例对象等。< / li >
2023-05-26 21:30:26 +08:00
< li > 指针变量占用的内存空间大小根据所使用的操作系统及编译环境而定，大多为 8 字节或 4 字节。< / li >
< / ul >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：在列表末尾添加元素是否时时刻刻都为 < span class = "arithmatex" > \(O(1)\)< / span > ？ < / p >
2023-05-26 21:30:26 +08:00
< p > 如果添加元素时超出列表长度，则需要先扩容列表再添加。系统会申请一块新的内存，并将原列表的所有元素搬运过去，这时候时间复杂度就会是 < span class = "arithmatex" > \(O(n)\)< / span > 。< / p >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：“列表的出现极大地提高了数组的实用性，但可能导致部分内存空间浪费”，这里的空间浪费是指额外增加的变量如容量、长度、扩容倍数所占的内存吗？< / p >
2023-12-02 06:24:11 +08:00
< p > 这里的空间浪费主要有两方面含义：一方面，列表都会设定一个初始长度，我们不一定需要用这么多；另一方面，为了防止频繁扩容，扩容一般会乘以一个系数，比如 < span class = "arithmatex" > \(\times 1.5\)< / span > 。这样一来，也会出现很多空位，我们通常不能完全填满它们。< / p >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：在 Python 中初始化 < code > n = [1, 2, 3]< / code > 后，这 3 个元素的地址是相连的，但是初始化 < code > m = [2, 1, 3]< / code > 会发现它们每个元素的 id 并不是连续的，而是分别跟 < code > n< / code > 中的相同。这些元素的地址不连续，那么 < code > m< / code > 还是数组吗？< / p >
2023-12-02 06:24:11 +08:00
< p > 假如把列表元素换成链表节点 < code > n = [n1, n2, n3, n4, n5]< / code > ，通常情况下这 5 个节点对象也分散存储在内存各处。然而，给定一个列表索引，我们仍然可以在 < span class = "arithmatex" > \(O(1)\)< / span > 时间内获取节点内存地址，从而访问到对应的节点。这是因为数组中存储的是节点的引用，而非节点本身。< / p >
< p > 与许多语言不同， < / p >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ： < code > std::list< / code > 已经实现了双向链表，但好像一些算法书上不怎么直接使用它，是不是因为有什么局限性呢？< / p >
2023-12-02 06:24:11 +08:00
< p > 一方面，我们往往更青睐使用数组实现算法，而只在必要时才使用链表，主要有两个原因。< / p >
2023-08-27 23:41:10 +08:00
< ul >
2023-08-19 19:21:30 +08:00
< li > 空间开销：由于每个元素需要两个额外的指针（一个用于前一个元素，一个用于后一个元素），所以 < code > std::list< / code > 通常比 < code > std::vector< / code > 更占用空间。< / li >
2023-12-02 06:24:11 +08:00
< li > 缓存不友好：由于数据不是连续存放的，因此 < code > std::list< / code > 对缓存的利用率较低。一般情况下，< code > std::vector< / code > 的性能会更好。< / li >
2023-08-27 23:41:10 +08:00
< / ul >
2023-08-19 19:21:30 +08:00
< p > 另一方面，必要使用链表的情况主要是二叉树和图。栈和队列往往会使用编程语言提供的 < code > stack< / code > 和 < code > queue< / code > ，而非链表。< / p >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：初始化列表 < code > res = [0] * self.size()< / code > 操作，会导致 < code > res< / code > 的每个元素引用相同的地址吗？< / p >
2023-10-23 04:56:26 +08:00
< p > 不会。但二维数组会有这个问题，例如初始化二维列表 < code > res = [[0] * self.size()]< / code > ，则多次引用了同一个列表 < code > [0]< / code > 。< / p >
2024-01-08 03:06:17 +08:00
< p > < strong > Q< / strong > ：在删除节点中，需要断开该节点与其后继节点之间的引用指向吗？< / p >
2023-12-14 02:53:40 +08:00
< p > 从数据结构与算法（做题）的角度看，不断开没有关系，只要保证程序的逻辑是正确的就行。从标准库的角度看，断开更加安全、逻辑更加清晰。如果不断开，假设被删除节点未被正常回收，那么它会影响后继节点的内存回收。< / p >
2023-02-08 14:54:41 +08:00
2023-09-21 20:44:52 +08:00
<!-- Source file information -->
2023-02-08 14:54:41 +08:00
2023-09-21 20:44:52 +08:00
<!-- Was this page helpful? -->
2023-02-08 14:54:41 +08:00
2023-09-21 20:44:52 +08:00
<!-- Previous and next pages link -->
< nav
class="md-footer__inner md-grid"
aria-label="页脚"
>
<!-- Link to previous page -->
< a
2023-11-26 02:06:45 +08:00
href="../ram_and_cache/"
2023-09-21 20:44:52 +08:00
class="md-footer__link md-footer__link--prev"
2023-11-26 02:06:45 +08:00
aria-label="上一页: 4.4 & nbsp; 内存与缓存 *"
2023-09-21 20:44:52 +08:00
rel="prev"
>
< div class = "md-footer__button md-icon" >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M20 11v2H8l5.5 5.5-1.42 1.42L4.16 12l7.92-7.92L13.5 5.5 8 11h12Z" / > < / svg >
< / div >
< div class = "md-footer__title" >
< span class = "md-footer__direction" >
上一页
< / span >
< div class = "md-ellipsis" >
2023-11-26 02:06:45 +08:00
4.4 内存与缓存 *
2023-09-21 20:44:52 +08:00
< / div >
< / div >
< / a >
<!-- Link to next page -->
< a
href="../../chapter_stack_and_queue/"
class="md-footer__link md-footer__link--next"
aria-label="下一页: 第 5 章 & nbsp; 栈与队列"
rel="next"
>
< div class = "md-footer__title" >
< span class = "md-footer__direction" >
下一页
< / span >
< div class = "md-ellipsis" >
第 5 章 栈与队列
< / div >
< / div >
< div class = "md-footer__button md-icon" >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M4 11v2h12l-5.5 5.5 1.42 1.42L19.84 12l-7.92-7.92L10.5 5.5 16 11H4Z" / > < / svg >
< / div >
< / a >
< / nav >
<!-- Comment system -->
2023-10-06 13:31:31 +08:00
2023-10-09 18:19:36 +08:00
2024-01-04 15:23:24 +08:00
< h5 align = "center" id = "__comments" > 欢迎在评论区留下你的见解、问题或建议< / h5 >
2023-10-06 13:31:31 +08:00
2023-02-08 14:54:41 +08:00
<!-- Insert generated snippet here -->
< script
src="https://giscus.app/client.js"
data-repo="krahets/hello-algo"
data-repo-id="R_kgDOIXtSqw"
data-category="Announcements"
data-category-id="DIC_kwDOIXtSq84CSZk_"
data-mapping="pathname"
data-strict="1"
data-reactions-enabled="1"
data-emit-metadata="0"
2023-06-01 18:47:10 +08:00
data-input-position="top"
2023-02-08 14:54:41 +08:00
data-theme="preferred_color_scheme"
data-lang="zh-CN"
crossorigin="anonymous"
async
>
< / script >
<!-- Synchronize Giscus theme with palette -->
< script >
var giscus = document.querySelector("script[src*=giscus]")
/* Set palette on initial load */
var palette = __md_get("__palette")
if (palette & & typeof palette.color === "object") {
2023-09-12 03:15:25 +08:00
var theme = palette.color.scheme === "slate" ? "dark_dimmed" : "light"
2023-02-08 14:54:41 +08:00
giscus.setAttribute("data-theme", theme)
}
/* Register event handlers after documented loaded */
document.addEventListener("DOMContentLoaded", function() {
var ref = document.querySelector("[data-md-component=palette]")
ref.addEventListener("change", function() {
var palette = __md_get("__palette")
if (palette & & typeof palette.color === "object") {
2023-09-12 03:15:25 +08:00
var theme = palette.color.scheme === "slate" ? "dark_dimmed" : "light"
2023-02-08 14:54:41 +08:00
/* Instruct Giscus to change theme */
var frame = document.querySelector(".giscus-frame")
frame.contentWindow.postMessage(
{ giscus: { setConfig: { theme } } },
"https://giscus.app"
)
}
})
})
< / script >
< / 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 >
2023-12-07 20:12:31 +08:00
< 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 >
2023-04-16 16:40:06 +08:00
< button type = "button" class = "md-top md-icon" data-md-component = "top" hidden >
2023-12-07 20:12:31 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M13 20h-2V8l-5.5 5.5-1.42-1.42L12 4.16l7.92 7.92-1.42 1.42L13 8v12Z" / > < / svg >
回到页面顶部
< / button >
2023-02-08 14:54:41 +08:00
< / main >
2023-10-06 13:31:31 +08:00
< footer class = "md-footer" >
< nav class = "md-footer__inner md-grid" aria-label = "页脚" >
2023-12-07 20:12:31 +08:00
< a href = "../ram_and_cache/" class = "md-footer__link md-footer__link--prev" aria-label = "上一页: 4.4 &nbsp; 内存与缓存 *" >
2023-10-06 13:31:31 +08:00
< div class = "md-footer__button md-icon" >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M20 11v2H8l5.5 5.5-1.42 1.42L4.16 12l7.92-7.92L13.5 5.5 8 11h12Z" / > < / svg >
< / div >
< div class = "md-footer__title" >
< span class = "md-footer__direction" >
上一页
< / span >
< div class = "md-ellipsis" >
2023-11-26 02:06:45 +08:00
4.4 内存与缓存 *
2023-10-06 13:31:31 +08:00
< / div >
< / div >
< / a >
2023-12-07 20:12:31 +08:00
< a href = "../../chapter_stack_and_queue/" class = "md-footer__link md-footer__link--next" aria-label = "下一页: 第 5 章 &nbsp; 栈与队列" >
2023-10-06 13:31:31 +08:00
< div class = "md-footer__title" >
< span class = "md-footer__direction" >
下一页
< / span >
< div class = "md-ellipsis" >
第 5 章 栈与队列
< / div >
< / div >
< div class = "md-footer__button md-icon" >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M4 11v2h12l-5.5 5.5 1.42 1.42L19.84 12l-7.92-7.92L10.5 5.5 16 11H4Z" / > < / svg >
< / div >
< / a >
< / nav >
2023-02-08 14:54:41 +08:00
< div class = "md-footer-meta md-typeset" >
< div class = "md-footer-meta__inner md-grid" >
< div class = "md-copyright" >
< div class = "md-copyright__highlight" >
2024-01-04 04:56:58 +08:00
Copyright © 2022 - 2024 Krahets
2023-02-08 14:54:41 +08:00
< / div >
< / div >
< div class = "md-social" >
< a href = "https://github.com/krahets" target = "_blank" rel = "noopener" title = "github.com" class = "md-social__link" >
2023-12-07 20:12:31 +08:00
< 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 >
2023-02-08 14:54:41 +08:00
< / a >
< a href = "https://twitter.com/krahets" target = "_blank" rel = "noopener" title = "twitter.com" class = "md-social__link" >
2023-12-07 20:12:31 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 512 512" > <!-- ! 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 = "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" / > < / svg >
2023-02-08 14:54:41 +08:00
< / a >
< a href = "https://leetcode.cn/u/jyd/" target = "_blank" rel = "noopener" title = "leetcode.cn" class = "md-social__link" >
2023-12-07 20:12:31 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 640 512" > <!-- ! 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 = "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" / > < / svg >
2023-02-08 14:54:41 +08:00
< / a >
< / div >
< / div >
< / div >
< / footer >
< / div >
< div class = "md-dialog" data-md-component = "dialog" >
< div class = "md-dialog__inner md-typeset" > < / div >
< / div >
2023-12-07 20:12:31 +08:00
2023-12-07 23:44:02 +08:00
< script id = "__config" type = "application/json" > { "base" : "../.." , "features" : [ "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.f886a092.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 >
2023-02-08 14:54:41 +08:00
2023-12-07 20:12:31 +08:00
< script src = "../../assets/javascripts/bundle.d7c377c4.min.js" > < / script >
2023-02-08 14:54:41 +08:00
2023-09-24 17:12:06 +08:00
< script src = "../../javascripts/mathjax.js" > < / script >
2023-02-08 14:54:41 +08:00
2023-09-24 17:12:06 +08:00
< script src = "https://polyfill.io/v3/polyfill.min.js?features=es6" > < / script >
2023-02-08 14:54:41 +08:00
2023-09-24 17:12:06 +08:00
< script src = "https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js" > < / script >
2023-02-08 14:54:41 +08:00
2023-09-22 13:08:10 +08:00
< script > document $ . subscribe ( ( ) => { const lightbox = GLightbox ( { "touchNavigation" : true , "loop" : false , "zoomable" : true , "draggable" : false , "openEffect" : "zoom" , "closeEffect" : "zoom" , "slideEffect" : "none" } ) ; } ) < / script > < / body >
2023-02-08 14:54:41 +08:00
< / html >
