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_tree/binary_search_tree/" >
2023-04-17 21:00:28 +08:00
< link rel = "prev" href = "../array_representation_of_tree/" >
2023-02-08 14:54:41 +08:00
< link rel = "next" href = "../avl_tree/" >
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
2023-08-19 22:07:40 +08:00
< title > 7.4 < / 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" >
2023-05-21 19:29:51 +08:00
< a href = "#74" 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" >
2023-08-19 22:07:40 +08:00
7.4 二叉搜索树
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--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" >
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_array_and_linkedlist/" 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 = "false" >
< 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 = "../../chapter_array_and_linkedlist/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 = "../../chapter_array_and_linkedlist/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 = "../../chapter_array_and_linkedlist/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
2023-12-07 20:12:31 +08:00
2023-11-26 02:06:45 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_array_and_linkedlist/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 >
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_array_and_linkedlist/summary/" class = "md-nav__link" >
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 >
< / 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
2023-04-17 18:24:27 +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" >
2023-04-17 18:24:27 +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" >
2023-06-02 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_hashing/" class = "md-nav__link " >
< 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 >
< 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 >
< / a >
2023-02-08 14:54:41 +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 >
2023-06-02 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_hashing/hash_map/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
6.1 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
2023-02-08 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_hashing/hash_collision/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
6.2 哈希冲突
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
2023-06-16 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
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< 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 >
2023-02-08 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
2023-02-08 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
2023-04-17 21:00:28 +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_8" 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 " >
< 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 = "true" >
< 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" >
< a href = "../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" >
< a href = "../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
2023-04-17 21:00:28 +08:00
2023-12-07 20:12:31 +08:00
2023-04-17 21:00:28 +08:00
< li class = "md-nav__item" >
< a href = "../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 >
2023-04-17 21:00:28 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-17 21:00:28 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 21:00:28 +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 md-nav__item--active" >
< input class = "md-nav__toggle md-toggle" type = "checkbox" id = "__toc" >
< label class = "md-nav__link md-nav__link--active" for = "__toc" >
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 >
2023-02-08 14:54:41 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< a href = "./" class = "md-nav__link md-nav__link--active" >
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 >
2023-02-08 14:54:41 +08:00
< / a >
< 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" >
2023-05-21 19:29:51 +08:00
< a href = "#741" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
7.4.1 二叉搜索树的操作
< / span >
2023-02-08 14:54:41 +08:00
< / a >
2023-08-19 22:07:40 +08:00
< nav class = "md-nav" aria-label = "7.4.1 >
2023-02-08 14:54:41 +08:00
< ul class = "md-nav__list" >
< li class = "md-nav__item" >
2023-08-20 13:37:20 +08:00
< a href = "#1" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
1. 查找节点
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-08-20 13:37:20 +08:00
< a href = "#2" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
2. 插入节点
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-08-20 13:37:20 +08:00
< a href = "#3" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
3. 删除节点
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-08-20 13:37:20 +08:00
< a href = "#4" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
4. 中序遍历有序
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "#742" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
7.4.2 二叉搜索树的效率
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "#743" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
7.4.3 二叉搜索树常见应用
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< / ul >
< / nav >
< / 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 = "../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 >
2023-02-08 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 = "../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 >
2023-12-07 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 >
2023-02-08 14:54:41 +08:00
2023-07-17 17:51:12 +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
2023-12-07 20:12:31 +08:00
2023-02-08 14:54:41 +08:00
< li class = "md-nav__item" >
< 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 >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
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 20:11:54 +08:00
2023-12-07 20:12:31 +08:00
2023-02-26 20:11:54 +08:00
< li class = "md-nav__item" >
< 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 >
2023-02-26 20:11:54 +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_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
2023-02-26 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_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" >
< 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
2023-02-08 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_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 >
2023-02-08 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" >
< 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 >
2023-02-15 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" >
< 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
2023-04-17 18:24:27 +08:00
2023-08-04 05:25:00 +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_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 >
2023-02-08 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/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 >
2023-05-21 19:29:51 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +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
2023-07-17 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
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-24 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
2023-05-21 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
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-05-21 19:29:51 +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
2023-05-21 19:29:51 +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" >
2023-05-21 19:29:51 +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" >
2023-05-21 19:29:51 +08:00
< 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" >
2023-05-21 19:29:51 +08:00
< 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" >
2023-05-21 19:29:51 +08:00
< 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
2023-05-21 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_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 >
2023-05-21 19:29:51 +08:00
< / a >
2023-04-17 18:24:27 +08:00
< / li >
2023-02-08 14:54:41 +08:00
2023-04-17 18:24:27 +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
2023-02-08 14:54:41 +08:00
2023-03-26 22:05:43 +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
2023-05-21 19:29:51 +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 >
2023-05-21 19:29:51 +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" >
2023-05-21 19:29:51 +08:00
< 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" >
2023-05-21 19:29:51 +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" >
2023-05-21 19:29:51 +08:00
< 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
2023-04-24 03:30:35 +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
2023-05-04 05:22:36 +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" >
< 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 >
2023-04-16 04:55:58 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-24 03:30:35 +08:00
2023-07-17 17:51:12 +08:00
2023-04-24 03:30:35 +08:00
2023-12-07 20:12:31 +08:00
2023-04-24 03:30:35 +08:00
< li class = "md-nav__item" >
< 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 >
2023-04-24 03:30:35 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-04 05:22:36 +08:00
2023-07-17 17:51:12 +08:00
2023-05-04 05:22:36 +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
2023-05-04 05:22:36 +08:00
< li class = "md-nav__item" >
< 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 >
2023-05-04 05:22:36 +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
2023-04-16 04:55:58 +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" >
< 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" >
2023-05-21 19:29:51 +08:00
< a href = "#741" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
7.4.1 二叉搜索树的操作
< / span >
2023-02-08 14:54:41 +08:00
< / a >
2023-08-19 22:07:40 +08:00
< nav class = "md-nav" aria-label = "7.4.1 >
2023-02-08 14:54:41 +08:00
< ul class = "md-nav__list" >
< li class = "md-nav__item" >
2023-08-20 13:37:20 +08:00
< a href = "#1" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
1. 查找节点
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-08-20 13:37:20 +08:00
< a href = "#2" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
2. 插入节点
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-08-20 13:37:20 +08:00
< a href = "#3" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
3. 删除节点
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-08-20 13:37:20 +08:00
< a href = "#4" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
4. 中序遍历有序
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< / ul >
< / nav >
< / li >
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "#742" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
7.4.2 二叉搜索树的效率
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "#743" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
7.4.3 二叉搜索树常见应用
< / span >
2023-02-08 14:54:41 +08:00
< / a >
< / li >
< / ul >
< / 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_tree/binary_search_tree.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 -->
2023-08-19 22:07:40 +08:00
< h1 id = "74" > 7.4 二叉搜索树< a class = "headerlink" href = "#74" title = "Permanent link" > ¶ < / a > < / h1 >
2023-08-27 23:41:10 +08:00
< p > 如图 7-16 所示，「二叉搜索树 binary search tree」满足以下条件。< / p >
2023-02-08 14:54:41 +08:00
< ol >
2023-07-26 08:59:03 +08:00
< li > 对于根节点，左子树中所有节点的值 < span class = "arithmatex" > \(< \)< / span > 根节点的值 < span class = "arithmatex" > \(< \)< / span > 右子树中所有节点的值。< / li >
< li > 任意节点的左、右子树也是二叉搜索树，即同样满足条件 < code > 1.< / code > 。< / li >
2023-02-08 14:54:41 +08:00
< / ol >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/binary_search_tree.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "二叉搜索树" class = "animation-figure" src = "../binary_search_tree.assets/binary_search_tree.png" / > < / a > < / p >
2023-08-22 13:50:24 +08:00
< p align = "center" > 图 7-16 二叉搜索树 < / p >
2023-02-26 19:53:32 +08:00
2023-08-19 22:07:40 +08:00
< h2 id = "741" > 7.4.1 二叉搜索树的操作< a class = "headerlink" href = "#741" title = "Permanent link" > ¶ < / a > < / h2 >
2023-10-23 03:10:12 +08:00
< p > 我们将二叉搜索树封装为一个类 < code > BinarySearchTree< / code > ，并声明一个成员变量 < code > root< / code > ，指向树的根节点。< / p >
2023-08-20 13:37:20 +08:00
< h3 id = "1" > 1. 查找节点< a class = "headerlink" href = "#1" title = "Permanent link" > ¶ < / a > < / h3 >
2023-08-27 23:41:10 +08:00
< p > 给定目标节点值 < code > num< / code > ，可以根据二叉搜索树的性质来查找。如图 7-17 所示，我们声明一个节点 < code > cur< / code > ，从二叉树的根节点 < code > root< / code > 出发，循环比较节点值 < code > cur.val< / code > 和 < code > num< / code > 之间的大小关系。< / p >
2023-02-08 14:54:41 +08:00
< ul >
2023-07-26 08:59:03 +08:00
< li > 若 < code > cur.val < num< / code > ，说明目标节点在 < code > cur< / code > 的右子树中，因此执行 < code > cur = cur.right< / code > 。< / li >
< li > 若 < code > cur.val > num< / code > ，说明目标节点在 < code > cur< / code > 的左子树中，因此执行 < code > cur = cur.left< / code > 。< / li >
< li > 若 < code > cur.val = num< / code > ，说明找到目标节点，跳出循环并返回该节点。< / li >
2023-02-08 14:54:41 +08:00
< / ul >
2023-02-22 00:57:11 +08:00
< div class = "tabbed-set tabbed-alternate" data-tabs = "1:4" > < input checked = "checked" id = "__tabbed_1_1" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_2" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_3" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_4" name = "__tabbed_1" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_1_1" > < 1> < / label > < label for = "__tabbed_1_2" > < 2> < / label > < label for = "__tabbed_1_3" > < 3> < / label > < label for = "__tabbed_1_4" > < 4> < / label > < / div >
2023-02-08 14:54:41 +08:00
< div class = "tabbed-content" >
< div class = "tabbed-block" >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_search_step1.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "二叉搜索树查找节点示例" class = "animation-figure" src = "../binary_search_tree.assets/bst_search_step1.png" / > < / a > < / p >
2023-02-08 14:54:41 +08:00
< / div >
< div class = "tabbed-block" >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_search_step2.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "bst_search_step2" class = "animation-figure" src = "../binary_search_tree.assets/bst_search_step2.png" / > < / a > < / p >
2023-02-08 14:54:41 +08:00
< / div >
< div class = "tabbed-block" >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_search_step3.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "bst_search_step3" class = "animation-figure" src = "../binary_search_tree.assets/bst_search_step3.png" / > < / a > < / p >
2023-02-08 14:54:41 +08:00
< / div >
< div class = "tabbed-block" >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_search_step4.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "bst_search_step4" class = "animation-figure" src = "../binary_search_tree.assets/bst_search_step4.png" / > < / a > < / p >
2023-02-08 14:54:41 +08:00
< / div >
< / div >
< / div >
2023-08-22 13:50:24 +08:00
< p align = "center" > 图 7-17 二叉搜索树查找节点示例 < / p >
2023-08-17 05:12:16 +08:00
2023-12-02 06:24:11 +08:00
< p > 二叉搜索树的查找操作与二分查找算法的工作原理一致，都是每轮排除一半情况。循环次数最多为二叉树的高度，当二叉树平衡时，使用 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间。示例代码如下：< / p >
2023-09-04 03:17:06 +08:00
< div class = "tabbed-set tabbed-alternate" data-tabs = "2:12" > < input checked = "checked" id = "__tabbed_2_1" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_2" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_3" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_4" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_5" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_6" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_7" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_8" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_9" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_10" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_11" name = "__tabbed_2" type = "radio" / > < input id = "__tabbed_2_12" name = "__tabbed_2" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_2_1" > Python< / label > < label for = "__tabbed_2_2" > C++< / label > < label for = "__tabbed_2_3" > Java< / label > < label for = "__tabbed_2_4" > C#< / label > < label for = "__tabbed_2_5" > Go< / label > < label for = "__tabbed_2_6" > Swift< / label > < label for = "__tabbed_2_7" > JS< / label > < label for = "__tabbed_2_8" > TS< / label > < label for = "__tabbed_2_9" > Dart< / label > < label for = "__tabbed_2_10" > Rust< / label > < label for = "__tabbed_2_11" > C< / label > < label for = "__tabbed_2_12" > Zig< / label > < / div >
2023-02-08 14:54:41 +08:00
< div class = "tabbed-content" >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.py< / span > < pre > < span > < / span > < code > < a id = "__codelineno-0-1" name = "__codelineno-0-1" href = "#__codelineno-0-1" > < / a > < span class = "k" > def< / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "n" > TreeNode< / span > < span class = "o" > |< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-0-2" name = "__codelineno-0-2" href = "#__codelineno-0-2" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 查找节点" " " < / span >
2023-10-14 22:15:01 +08:00
< a id = "__codelineno-0-3" name = "__codelineno-0-3" href = "#__codelineno-0-3" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _root< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-0-4" name = "__codelineno-0-4" href = "#__codelineno-0-4" > < / a > < span class = "c1" > # 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-0-5" name = "__codelineno-0-5" href = "#__codelineno-0-5" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "ow" > is< / span > < span class = "ow" > not< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-0-6" name = "__codelineno-0-6" href = "#__codelineno-0-6" > < / a > < span class = "c1" > # 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-0-7" name = "__codelineno-0-7" href = "#__codelineno-0-7" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-0-8" name = "__codelineno-0-8" href = "#__codelineno-0-8" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
< a id = "__codelineno-0-9" name = "__codelineno-0-9" href = "#__codelineno-0-9" > < / a > < span class = "c1" > # 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-0-10" name = "__codelineno-0-10" href = "#__codelineno-0-10" > < / a > < span class = "k" > elif< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > > < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-0-11" name = "__codelineno-0-11" href = "#__codelineno-0-11" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span >
< a id = "__codelineno-0-12" name = "__codelineno-0-12" href = "#__codelineno-0-12" > < / a > < span class = "c1" > # 找到目标节点，跳出循环< / span >
< a id = "__codelineno-0-13" name = "__codelineno-0-13" href = "#__codelineno-0-13" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-0-14" name = "__codelineno-0-14" href = "#__codelineno-0-14" > < / a > < span class = "k" > break< / span >
< a id = "__codelineno-0-15" name = "__codelineno-0-15" href = "#__codelineno-0-15" > < / a > < span class = "k" > return< / span > < span class = "n" > cur< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.cpp< / span > < pre > < span > < / span > < code > < a id = "__codelineno-1-1" name = "__codelineno-1-1" href = "#__codelineno-1-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
< a id = "__codelineno-1-2" name = "__codelineno-1-2" href = "#__codelineno-1-2" > < / a > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-1-3" name = "__codelineno-1-3" href = "#__codelineno-1-3" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-4" name = "__codelineno-1-4" href = "#__codelineno-1-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-1-5" name = "__codelineno-1-5" href = "#__codelineno-1-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-1-6" name = "__codelineno-1-6" href = "#__codelineno-1-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-1-7" name = "__codelineno-1-7" href = "#__codelineno-1-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-1-8" name = "__codelineno-1-8" href = "#__codelineno-1-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-9" name = "__codelineno-1-9" href = "#__codelineno-1-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-1-10" name = "__codelineno-1-10" href = "#__codelineno-1-10" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-1-11" name = "__codelineno-1-11" href = "#__codelineno-1-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-12" name = "__codelineno-1-12" href = "#__codelineno-1-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-1-13" name = "__codelineno-1-13" href = "#__codelineno-1-13" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-1-14" name = "__codelineno-1-14" href = "#__codelineno-1-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-15" name = "__codelineno-1-15" href = "#__codelineno-1-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-1-16" name = "__codelineno-1-16" href = "#__codelineno-1-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-1-17" name = "__codelineno-1-17" href = "#__codelineno-1-17" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-18" name = "__codelineno-1-18" href = "#__codelineno-1-18" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.java< / span > < pre > < span > < / span > < code > < a id = "__codelineno-2-1" name = "__codelineno-2-1" href = "#__codelineno-2-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
< a id = "__codelineno-2-2" name = "__codelineno-2-2" href = "#__codelineno-2-2" > < / a > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-2-3" name = "__codelineno-2-3" href = "#__codelineno-2-3" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-4" name = "__codelineno-2-4" href = "#__codelineno-2-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-2-5" name = "__codelineno-2-5" href = "#__codelineno-2-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-2-6" name = "__codelineno-2-6" href = "#__codelineno-2-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-2-7" name = "__codelineno-2-7" href = "#__codelineno-2-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-2-8" name = "__codelineno-2-8" href = "#__codelineno-2-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-9" name = "__codelineno-2-9" href = "#__codelineno-2-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-2-10" name = "__codelineno-2-10" href = "#__codelineno-2-10" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-2-11" name = "__codelineno-2-11" href = "#__codelineno-2-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-12" name = "__codelineno-2-12" href = "#__codelineno-2-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-2-13" name = "__codelineno-2-13" href = "#__codelineno-2-13" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-2-14" name = "__codelineno-2-14" href = "#__codelineno-2-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-15" name = "__codelineno-2-15" href = "#__codelineno-2-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-2-16" name = "__codelineno-2-16" href = "#__codelineno-2-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-2-17" name = "__codelineno-2-17" href = "#__codelineno-2-17" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-18" name = "__codelineno-2-18" href = "#__codelineno-2-18" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.cs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-3-1" name = "__codelineno-3-1" href = "#__codelineno-3-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-3-2" name = "__codelineno-3-2" href = "#__codelineno-3-2" > < / a > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > Search< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-3-3" name = "__codelineno-3-3" href = "#__codelineno-3-3" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-3-4" name = "__codelineno-3-4" href = "#__codelineno-3-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-3-5" name = "__codelineno-3-5" href = "#__codelineno-3-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-3-6" name = "__codelineno-3-6" href = "#__codelineno-3-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-3-7" name = "__codelineno-3-7" href = "#__codelineno-3-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span >
< a id = "__codelineno-3-8" name = "__codelineno-3-8" href = "#__codelineno-3-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-3-9" name = "__codelineno-3-9" href = "#__codelineno-3-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-3-10" name = "__codelineno-3-10" href = "#__codelineno-3-10" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nf" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-3-11" name = "__codelineno-3-11" href = "#__codelineno-3-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-3-12" name = "__codelineno-3-12" href = "#__codelineno-3-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-3-13" name = "__codelineno-3-13" href = "#__codelineno-3-13" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-3-14" name = "__codelineno-3-14" href = "#__codelineno-3-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-3-15" name = "__codelineno-3-15" href = "#__codelineno-3-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-3-16" name = "__codelineno-3-16" href = "#__codelineno-3-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-3-17" name = "__codelineno-3-17" href = "#__codelineno-3-17" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-3-18" name = "__codelineno-3-18" href = "#__codelineno-3-18" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.go< / span > < pre > < span > < / span > < code > < a id = "__codelineno-4-1" name = "__codelineno-4-1" href = "#__codelineno-4-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
< a id = "__codelineno-4-2" name = "__codelineno-4-2" href = "#__codelineno-4-2" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > bst< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > binarySearchTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > search< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-3" name = "__codelineno-4-3" href = "#__codelineno-4-3" > < / a > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span >
< a id = "__codelineno-4-4" name = "__codelineno-4-4" href = "#__codelineno-4-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-4-5" name = "__codelineno-4-5" href = "#__codelineno-4-5" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-6" name = "__codelineno-4-6" href = "#__codelineno-4-6" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "p" > .(< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-7" name = "__codelineno-4-7" href = "#__codelineno-4-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-4-8" name = "__codelineno-4-8" href = "#__codelineno-4-8" > < / a > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-4-9" name = "__codelineno-4-9" href = "#__codelineno-4-9" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "p" > .(< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > > < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-10" name = "__codelineno-4-10" href = "#__codelineno-4-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-4-11" name = "__codelineno-4-11" href = "#__codelineno-4-11" > < / a > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-4-12" name = "__codelineno-4-12" href = "#__codelineno-4-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-13" name = "__codelineno-4-13" href = "#__codelineno-4-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-4-14" name = "__codelineno-4-14" href = "#__codelineno-4-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span >
< a id = "__codelineno-4-15" name = "__codelineno-4-15" href = "#__codelineno-4-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-4-16" name = "__codelineno-4-16" href = "#__codelineno-4-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-4-17" name = "__codelineno-4-17" href = "#__codelineno-4-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-4-18" name = "__codelineno-4-18" href = "#__codelineno-4-18" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > node< / span >
< a id = "__codelineno-4-19" name = "__codelineno-4-19" href = "#__codelineno-4-19" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.swift< / span > < pre > < span > < / span > < code > < a id = "__codelineno-5-1" name = "__codelineno-5-1" href = "#__codelineno-5-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
< a id = "__codelineno-5-2" name = "__codelineno-5-2" href = "#__codelineno-5-2" > < / a > < span class = "kd" > func< / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > -> < / span > < span class = "n" > TreeNode< / span > < span class = "p" > ?< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-3" name = "__codelineno-5-3" href = "#__codelineno-5-3" > < / a > < span class = "kd" > var< / span > < span class = "nv" > cur< / span > < span class = "p" > =< / span > < span class = "n" > root< / span >
< a id = "__codelineno-5-4" name = "__codelineno-5-4" href = "#__codelineno-5-4" > < / a > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-5-5" name = "__codelineno-5-5" href = "#__codelineno-5-5" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-6" name = "__codelineno-5-6" href = "#__codelineno-5-6" > < / a > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-5-7" name = "__codelineno-5-7" href = "#__codelineno-5-7" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-8" name = "__codelineno-5-8" href = "#__codelineno-5-8" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-5-9" name = "__codelineno-5-9" href = "#__codelineno-5-9" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-10" name = "__codelineno-5-10" href = "#__codelineno-5-10" > < / a > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-5-11" name = "__codelineno-5-11" href = "#__codelineno-5-11" > < / a > < span class = "k" > else< / span > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > > < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-12" name = "__codelineno-5-12" href = "#__codelineno-5-12" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span >
< a id = "__codelineno-5-13" name = "__codelineno-5-13" href = "#__codelineno-5-13" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-14" name = "__codelineno-5-14" href = "#__codelineno-5-14" > < / a > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-5-15" name = "__codelineno-5-15" href = "#__codelineno-5-15" > < / a > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-16" name = "__codelineno-5-16" href = "#__codelineno-5-16" > < / a > < span class = "k" > break< / span >
< a id = "__codelineno-5-17" name = "__codelineno-5-17" href = "#__codelineno-5-17" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-18" name = "__codelineno-5-18" href = "#__codelineno-5-18" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-19" name = "__codelineno-5-19" href = "#__codelineno-5-19" > < / a > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-5-20" name = "__codelineno-5-20" href = "#__codelineno-5-20" > < / a > < span class = "k" > return< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-5-21" name = "__codelineno-5-21" href = "#__codelineno-5-21" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.js< / span > < pre > < span > < / span > < code > < a id = "__codelineno-6-1" name = "__codelineno-6-1" href = "#__codelineno-6-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
< a id = "__codelineno-6-2" name = "__codelineno-6-2" href = "#__codelineno-6-2" > < / a > < span class = "nx" > search< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-3" name = "__codelineno-6-3" href = "#__codelineno-6-3" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-4" name = "__codelineno-6-4" href = "#__codelineno-6-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-6-5" name = "__codelineno-6-5" href = "#__codelineno-6-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-6" name = "__codelineno-6-6" href = "#__codelineno-6-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-6-7" name = "__codelineno-6-7" href = "#__codelineno-6-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-8" name = "__codelineno-6-8" href = "#__codelineno-6-8" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-6-9" name = "__codelineno-6-9" href = "#__codelineno-6-9" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-10" name = "__codelineno-6-10" href = "#__codelineno-6-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-6-11" name = "__codelineno-6-11" href = "#__codelineno-6-11" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-12" name = "__codelineno-6-12" href = "#__codelineno-6-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-13" name = "__codelineno-6-13" href = "#__codelineno-6-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-6-14" name = "__codelineno-6-14" href = "#__codelineno-6-14" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-15" name = "__codelineno-6-15" href = "#__codelineno-6-15" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.ts< / span > < pre > < span > < / span > < code > < a id = "__codelineno-7-1" name = "__codelineno-7-1" href = "#__codelineno-7-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
< a id = "__codelineno-7-2" name = "__codelineno-7-2" href = "#__codelineno-7-2" > < / a > < span class = "nx" > search< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-3" name = "__codelineno-7-3" href = "#__codelineno-7-3" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-4" name = "__codelineno-7-4" href = "#__codelineno-7-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-7-5" name = "__codelineno-7-5" href = "#__codelineno-7-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-6" name = "__codelineno-7-6" href = "#__codelineno-7-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-7-7" name = "__codelineno-7-7" href = "#__codelineno-7-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-8" name = "__codelineno-7-8" href = "#__codelineno-7-8" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-7-9" name = "__codelineno-7-9" href = "#__codelineno-7-9" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-10" name = "__codelineno-7-10" href = "#__codelineno-7-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-7-11" name = "__codelineno-7-11" href = "#__codelineno-7-11" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-12" name = "__codelineno-7-12" href = "#__codelineno-7-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-7-13" name = "__codelineno-7-13" href = "#__codelineno-7-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-7-14" name = "__codelineno-7-14" href = "#__codelineno-7-14" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-15" name = "__codelineno-7-15" href = "#__codelineno-7-15" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.dart< / span > < pre > < span > < / span > < code > < a id = "__codelineno-8-1" name = "__codelineno-8-1" href = "#__codelineno-8-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-8-2" name = "__codelineno-8-2" href = "#__codelineno-8-2" > < / a > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > search< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-8-3" name = "__codelineno-8-3" href = "#__codelineno-8-3" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > _root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-8-4" name = "__codelineno-8-4" href = "#__codelineno-8-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-8-5" name = "__codelineno-8-5" href = "#__codelineno-8-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-8-6" name = "__codelineno-8-6" href = "#__codelineno-8-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-8-7" name = "__codelineno-8-7" href = "#__codelineno-8-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-8-8" name = "__codelineno-8-8" href = "#__codelineno-8-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-8-9" name = "__codelineno-8-9" href = "#__codelineno-8-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-8-10" name = "__codelineno-8-10" href = "#__codelineno-8-10" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-8-11" name = "__codelineno-8-11" href = "#__codelineno-8-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-8-12" name = "__codelineno-8-12" href = "#__codelineno-8-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-8-13" name = "__codelineno-8-13" href = "#__codelineno-8-13" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-8-14" name = "__codelineno-8-14" href = "#__codelineno-8-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-8-15" name = "__codelineno-8-15" href = "#__codelineno-8-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-8-16" name = "__codelineno-8-16" href = "#__codelineno-8-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-8-17" name = "__codelineno-8-17" href = "#__codelineno-8-17" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-8-18" name = "__codelineno-8-18" href = "#__codelineno-8-18" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.rs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-9-1" name = "__codelineno-9-1" href = "#__codelineno-9-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
2023-12-25 02:38:25 +08:00
< a id = "__codelineno-9-2" name = "__codelineno-9-2" href = "#__codelineno-9-2" > < / a > < span class = "k" > pub< / span > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > num< / span > : < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "nc" > OptionTreeNodeRc< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-9-3" name = "__codelineno-9-3" href = "#__codelineno-9-3" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
2023-12-25 02:38:25 +08:00
< a id = "__codelineno-9-4" name = "__codelineno-9-4" href = "#__codelineno-9-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-9-5" name = "__codelineno-9-5" href = "#__codelineno-9-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > node< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-6" name = "__codelineno-9-6" href = "#__codelineno-9-6" > < / a > < span class = "w" > < / span > < span class = "k" > match< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > .< / span > < span class = "n" > cmp< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > val< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-7" name = "__codelineno-9-7" href = "#__codelineno-9-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-9-8" name = "__codelineno-9-8" href = "#__codelineno-9-8" > < / a > < span class = "w" > < / span > < span class = "n" > Ordering< / span > ::< span class = "n" > Greater< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > right< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > (),< / span >
< a id = "__codelineno-9-9" name = "__codelineno-9-9" href = "#__codelineno-9-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-9-10" name = "__codelineno-9-10" href = "#__codelineno-9-10" > < / a > < span class = "w" > < / span > < span class = "n" > Ordering< / span > ::< span class = "n" > Less< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > left< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > (),< / span >
< a id = "__codelineno-9-11" name = "__codelineno-9-11" href = "#__codelineno-9-11" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-9-12" name = "__codelineno-9-12" href = "#__codelineno-9-12" > < / a > < span class = "w" > < / span > < span class = "n" > Ordering< / span > ::< span class = "n" > Equal< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-9-13" name = "__codelineno-9-13" href = "#__codelineno-9-13" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-9-14" name = "__codelineno-9-14" href = "#__codelineno-9-14" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-9-15" name = "__codelineno-9-15" href = "#__codelineno-9-15" > < / a >
< a id = "__codelineno-9-16" name = "__codelineno-9-16" href = "#__codelineno-9-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-9-17" name = "__codelineno-9-17" href = "#__codelineno-9-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span >
< a id = "__codelineno-9-18" name = "__codelineno-9-18" href = "#__codelineno-9-18" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
2023-06-02 02:38:32 +08:00
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.c< / span > < pre > < span > < / span > < code > < a id = "__codelineno-10-1" name = "__codelineno-10-1" href = "#__codelineno-10-1" > < / a > < span class = "cm" > /* 查找节点 */< / span >
2023-10-18 02:17:09 +08:00
< a id = "__codelineno-10-2" name = "__codelineno-10-2" href = "#__codelineno-10-2" > < / a > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nf" > search< / span > < span class = "p" > (< / span > < span class = "n" > BinarySearchTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > bst< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-10-3" name = "__codelineno-10-3" href = "#__codelineno-10-3" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-10-4" name = "__codelineno-10-4" href = "#__codelineno-10-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-10-5" name = "__codelineno-10-5" href = "#__codelineno-10-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-6" name = "__codelineno-10-6" href = "#__codelineno-10-6" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-7" name = "__codelineno-10-7" href = "#__codelineno-10-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-10-8" name = "__codelineno-10-8" href = "#__codelineno-10-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-10-9" name = "__codelineno-10-9" href = "#__codelineno-10-9" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-10" name = "__codelineno-10-10" href = "#__codelineno-10-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-10-11" name = "__codelineno-10-11" href = "#__codelineno-10-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-10-12" name = "__codelineno-10-12" href = "#__codelineno-10-12" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-13" name = "__codelineno-10-13" href = "#__codelineno-10-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-10-14" name = "__codelineno-10-14" href = "#__codelineno-10-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-10-15" name = "__codelineno-10-15" href = "#__codelineno-10-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-10-16" name = "__codelineno-10-16" href = "#__codelineno-10-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-10-17" name = "__codelineno-10-17" href = "#__codelineno-10-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-10-18" name = "__codelineno-10-18" href = "#__codelineno-10-18" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-10-19" name = "__codelineno-10-19" href = "#__codelineno-10-19" > < / a > < span class = "p" > }< / span >
2023-06-02 02:38:32 +08:00
< / code > < / pre > < / div >
< / div >
2023-07-26 10:57:52 +08:00
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.zig< / span > < pre > < span > < / span > < code > < a id = "__codelineno-11-1" name = "__codelineno-11-1" href = "#__codelineno-11-1" > < / a > < span class = "c1" > // 查找节点< / span >
< a id = "__codelineno-11-2" name = "__codelineno-11-2" href = "#__codelineno-11-2" > < / a > < span class = "k" > fn< / span > < span class = "w" > < / span > < span class = "n" > search< / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > Self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > ?*< / span > < span class = "n" > inc< / span > < span class = "p" > .< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-11-3" name = "__codelineno-11-3" href = "#__codelineno-11-3" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-11-4" name = "__codelineno-11-4" href = "#__codelineno-11-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-11-5" name = "__codelineno-11-5" href = "#__codelineno-11-5" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-11-6" name = "__codelineno-11-6" href = "#__codelineno-11-6" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的右子树中< / span >
< a id = "__codelineno-11-7" name = "__codelineno-11-7" href = "#__codelineno-11-7" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-11-8" name = "__codelineno-11-8" href = "#__codelineno-11-8" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-11-9" name = "__codelineno-11-9" href = "#__codelineno-11-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 目标节点在 cur 的左子树中< / span >
< a id = "__codelineno-11-10" name = "__codelineno-11-10" href = "#__codelineno-11-10" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-11-11" name = "__codelineno-11-11" href = "#__codelineno-11-11" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-11-12" name = "__codelineno-11-12" href = "#__codelineno-11-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到目标节点，跳出循环< / span >
< a id = "__codelineno-11-13" name = "__codelineno-11-13" href = "#__codelineno-11-13" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-11-14" name = "__codelineno-11-14" href = "#__codelineno-11-14" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-11-15" name = "__codelineno-11-15" href = "#__codelineno-11-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-11-16" name = "__codelineno-11-16" href = "#__codelineno-11-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-11-17" name = "__codelineno-11-17" href = "#__codelineno-11-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 返回目标节点< / span >
< a id = "__codelineno-11-18" name = "__codelineno-11-18" href = "#__codelineno-11-18" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-11-19" name = "__codelineno-11-19" href = "#__codelineno-11-19" > < / a > < span class = "p" > }< / span >
2023-07-26 10:57:52 +08:00
< / code > < / pre > < / div >
< / div >
2023-02-08 14:54:41 +08:00
< / div >
< / div >
2023-08-20 13:37:20 +08:00
< h3 id = "2" > 2. 插入节点< a class = "headerlink" href = "#2" title = "Permanent link" > ¶ < / a > < / h3 >
2023-08-22 13:50:24 +08:00
< p > 给定一个待插入元素 < code > num< / code > ，为了保持二叉搜索树“左子树 < 根节点 < 右子树”的性质，插入操作流程如图 7-18 所示。< / p >
2023-02-08 14:54:41 +08:00
< ol >
2023-12-28 17:18:44 +08:00
< li > < strong > 查找插入位置< / strong > ：与查找操作相似，从根节点出发，根据当前节点值和 < code > num< / code > 的大小关系循环向下搜索，直到越过叶节点（遍历至 < code > None< / code > ）时跳出循环。< / li >
< li > < strong > 在该位置插入节点< / strong > ：初始化节点 < code > num< / code > ，将该节点置于 < code > None< / code > 的位置。< / li >
2023-02-08 14:54:41 +08:00
< / ol >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_insert.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "在二叉搜索树中插入节点" class = "animation-figure" src = "../binary_search_tree.assets/bst_insert.png" / > < / a > < / p >
2023-08-22 13:50:24 +08:00
< p align = "center" > 图 7-18 在二叉搜索树中插入节点 < / p >
2023-02-26 19:53:32 +08:00
2023-08-27 23:41:10 +08:00
< p > 在代码实现中，需要注意以下两点。< / p >
2023-08-21 19:32:49 +08:00
< ul >
< li > 二叉搜索树不允许存在重复节点，否则将违反其定义。因此，若待插入节点在树中已存在，则不执行插入，直接返回。< / li >
2023-12-28 17:18:44 +08:00
< li > 为了实现插入节点，我们需要借助节点 < code > pre< / code > 保存上一轮循环的节点。这样在遍历至 < code > None< / code > 时，我们可以获取到其父节点，从而完成节点插入操作。< / li >
2023-08-21 19:32:49 +08:00
< / ul >
2023-09-04 03:17:06 +08:00
< div class = "tabbed-set tabbed-alternate" data-tabs = "3:12" > < input checked = "checked" id = "__tabbed_3_1" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_2" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_3" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_4" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_5" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_6" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_7" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_8" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_9" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_10" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_11" name = "__tabbed_3" type = "radio" / > < input id = "__tabbed_3_12" name = "__tabbed_3" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_3_1" > Python< / label > < label for = "__tabbed_3_2" > C++< / label > < label for = "__tabbed_3_3" > Java< / label > < label for = "__tabbed_3_4" > C#< / label > < label for = "__tabbed_3_5" > Go< / label > < label for = "__tabbed_3_6" > Swift< / label > < label for = "__tabbed_3_7" > JS< / label > < label for = "__tabbed_3_8" > TS< / label > < label for = "__tabbed_3_9" > Dart< / label > < label for = "__tabbed_3_10" > Rust< / label > < label for = "__tabbed_3_11" > C< / label > < label for = "__tabbed_3_12" > Zig< / label > < / div >
2023-02-08 14:54:41 +08:00
< div class = "tabbed-content" >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.py< / span > < pre > < span > < / span > < code > < a id = "__codelineno-12-1" name = "__codelineno-12-1" href = "#__codelineno-12-1" > < / a > < span class = "k" > def< / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > ):< / span >
< a id = "__codelineno-12-2" name = "__codelineno-12-2" href = "#__codelineno-12-2" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 插入节点" " " < / span >
< a id = "__codelineno-12-3" name = "__codelineno-12-3" href = "#__codelineno-12-3" > < / a > < span class = "c1" > # 若树为空，则初始化根节点< / span >
2023-10-14 22:15:01 +08:00
< a id = "__codelineno-12-4" name = "__codelineno-12-4" href = "#__codelineno-12-4" > < / a > < span class = "k" > if< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _root< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-12-5" name = "__codelineno-12-5" href = "#__codelineno-12-5" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _root< / span > < span class = "o" > =< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-12-6" name = "__codelineno-12-6" href = "#__codelineno-12-6" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-12-7" name = "__codelineno-12-7" href = "#__codelineno-12-7" > < / a > < span class = "c1" > # 循环查找，越过叶节点后跳出< / span >
2023-10-14 22:15:01 +08:00
< a id = "__codelineno-12-8" name = "__codelineno-12-8" href = "#__codelineno-12-8" > < / a > < span class = "n" > cur< / span > < span class = "p" > ,< / span > < span class = "n" > pre< / span > < span class = "o" > =< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _root< / span > < span class = "p" > ,< / span > < span class = "kc" > None< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-12-9" name = "__codelineno-12-9" href = "#__codelineno-12-9" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "ow" > is< / span > < span class = "ow" > not< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-12-10" name = "__codelineno-12-10" href = "#__codelineno-12-10" > < / a > < span class = "c1" > # 找到重复节点，直接返回< / span >
< a id = "__codelineno-12-11" name = "__codelineno-12-11" href = "#__codelineno-12-11" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > ==< / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-12-12" name = "__codelineno-12-12" href = "#__codelineno-12-12" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-12-13" name = "__codelineno-12-13" href = "#__codelineno-12-13" > < / a > < span class = "n" > pre< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-12-14" name = "__codelineno-12-14" href = "#__codelineno-12-14" > < / a > < span class = "c1" > # 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-12-15" name = "__codelineno-12-15" href = "#__codelineno-12-15" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-12-16" name = "__codelineno-12-16" href = "#__codelineno-12-16" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
< a id = "__codelineno-12-17" name = "__codelineno-12-17" href = "#__codelineno-12-17" > < / a > < span class = "c1" > # 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-12-18" name = "__codelineno-12-18" href = "#__codelineno-12-18" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-12-19" name = "__codelineno-12-19" href = "#__codelineno-12-19" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span >
< a id = "__codelineno-12-20" name = "__codelineno-12-20" href = "#__codelineno-12-20" > < / a > < span class = "c1" > # 插入节点< / span >
< a id = "__codelineno-12-21" name = "__codelineno-12-21" href = "#__codelineno-12-21" > < / a > < span class = "n" > node< / span > < span class = "o" > =< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-22" name = "__codelineno-12-22" href = "#__codelineno-12-22" > < / a > < span class = "k" > if< / span > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-12-23" name = "__codelineno-12-23" href = "#__codelineno-12-23" > < / a > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > right< / span > < span class = "o" > =< / span > < span class = "n" > node< / span >
< a id = "__codelineno-12-24" name = "__codelineno-12-24" href = "#__codelineno-12-24" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-12-25" name = "__codelineno-12-25" href = "#__codelineno-12-25" > < / a > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "o" > =< / span > < span class = "n" > node< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.cpp< / span > < pre > < span > < / span > < code > < a id = "__codelineno-13-1" name = "__codelineno-13-1" href = "#__codelineno-13-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-13-2" name = "__codelineno-13-2" href = "#__codelineno-13-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-13-3" name = "__codelineno-13-3" href = "#__codelineno-13-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-13-4" name = "__codelineno-13-4" href = "#__codelineno-13-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-13-5" name = "__codelineno-13-5" href = "#__codelineno-13-5" > < / a > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-13-6" name = "__codelineno-13-6" href = "#__codelineno-13-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-7" name = "__codelineno-13-7" href = "#__codelineno-13-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-13-8" name = "__codelineno-13-8" href = "#__codelineno-13-8" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-9" name = "__codelineno-13-9" href = "#__codelineno-13-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-13-10" name = "__codelineno-13-10" href = "#__codelineno-13-10" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-13-11" name = "__codelineno-13-11" href = "#__codelineno-13-11" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-13-12" name = "__codelineno-13-12" href = "#__codelineno-13-12" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-13-13" name = "__codelineno-13-13" href = "#__codelineno-13-13" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-14" name = "__codelineno-13-14" href = "#__codelineno-13-14" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-15" name = "__codelineno-13-15" href = "#__codelineno-13-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-13-16" name = "__codelineno-13-16" href = "#__codelineno-13-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-13-17" name = "__codelineno-13-17" href = "#__codelineno-13-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-18" name = "__codelineno-13-18" href = "#__codelineno-13-18" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-13-19" name = "__codelineno-13-19" href = "#__codelineno-13-19" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-13-20" name = "__codelineno-13-20" href = "#__codelineno-13-20" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-21" name = "__codelineno-13-21" href = "#__codelineno-13-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-13-22" name = "__codelineno-13-22" href = "#__codelineno-13-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-13-23" name = "__codelineno-13-23" href = "#__codelineno-13-23" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-13-24" name = "__codelineno-13-24" href = "#__codelineno-13-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-13-25" name = "__codelineno-13-25" href = "#__codelineno-13-25" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-26" name = "__codelineno-13-26" href = "#__codelineno-13-26" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-13-27" name = "__codelineno-13-27" href = "#__codelineno-13-27" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-28" name = "__codelineno-13-28" href = "#__codelineno-13-28" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.java< / span > < pre > < span > < / span > < code > < a id = "__codelineno-14-1" name = "__codelineno-14-1" href = "#__codelineno-14-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-14-2" name = "__codelineno-14-2" href = "#__codelineno-14-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-3" name = "__codelineno-14-3" href = "#__codelineno-14-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-14-4" name = "__codelineno-14-4" href = "#__codelineno-14-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-5" name = "__codelineno-14-5" href = "#__codelineno-14-5" > < / a > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-14-6" name = "__codelineno-14-6" href = "#__codelineno-14-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-14-7" name = "__codelineno-14-7" href = "#__codelineno-14-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-14-8" name = "__codelineno-14-8" href = "#__codelineno-14-8" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-14-9" name = "__codelineno-14-9" href = "#__codelineno-14-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-14-10" name = "__codelineno-14-10" href = "#__codelineno-14-10" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-14-11" name = "__codelineno-14-11" href = "#__codelineno-14-11" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-14-12" name = "__codelineno-14-12" href = "#__codelineno-14-12" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-13" name = "__codelineno-14-13" href = "#__codelineno-14-13" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-14-14" name = "__codelineno-14-14" href = "#__codelineno-14-14" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-14-15" name = "__codelineno-14-15" href = "#__codelineno-14-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-14-16" name = "__codelineno-14-16" href = "#__codelineno-14-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-17" name = "__codelineno-14-17" href = "#__codelineno-14-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-14-18" name = "__codelineno-14-18" href = "#__codelineno-14-18" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-14-19" name = "__codelineno-14-19" href = "#__codelineno-14-19" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-14-20" name = "__codelineno-14-20" href = "#__codelineno-14-20" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-14-21" name = "__codelineno-14-21" href = "#__codelineno-14-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-14-22" name = "__codelineno-14-22" href = "#__codelineno-14-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-14-23" name = "__codelineno-14-23" href = "#__codelineno-14-23" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-14-24" name = "__codelineno-14-24" href = "#__codelineno-14-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-14-25" name = "__codelineno-14-25" href = "#__codelineno-14-25" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-14-26" name = "__codelineno-14-26" href = "#__codelineno-14-26" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-14-27" name = "__codelineno-14-27" href = "#__codelineno-14-27" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-14-28" name = "__codelineno-14-28" href = "#__codelineno-14-28" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.cs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-15-1" name = "__codelineno-15-1" href = "#__codelineno-15-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-15-2" name = "__codelineno-15-2" href = "#__codelineno-15-2" > < / a > < span class = "k" > void< / span > < span class = "w" > < / span > < span class = "nf" > Insert< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-15-3" name = "__codelineno-15-3" href = "#__codelineno-15-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-15-4" name = "__codelineno-15-4" href = "#__codelineno-15-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-5" name = "__codelineno-15-5" href = "#__codelineno-15-5" > < / a > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-15-6" name = "__codelineno-15-6" href = "#__codelineno-15-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-7" name = "__codelineno-15-7" href = "#__codelineno-15-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-8" name = "__codelineno-15-8" href = "#__codelineno-15-8" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-9" name = "__codelineno-15-9" href = "#__codelineno-15-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-15-10" name = "__codelineno-15-10" href = "#__codelineno-15-10" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-11" name = "__codelineno-15-11" href = "#__codelineno-15-11" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-15-12" name = "__codelineno-15-12" href = "#__codelineno-15-12" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-15-13" name = "__codelineno-15-13" href = "#__codelineno-15-13" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-14" name = "__codelineno-15-14" href = "#__codelineno-15-14" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-15" name = "__codelineno-15-15" href = "#__codelineno-15-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-15-16" name = "__codelineno-15-16" href = "#__codelineno-15-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-15-17" name = "__codelineno-15-17" href = "#__codelineno-15-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-18" name = "__codelineno-15-18" href = "#__codelineno-15-18" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-15-19" name = "__codelineno-15-19" href = "#__codelineno-15-19" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-15-20" name = "__codelineno-15-20" href = "#__codelineno-15-20" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-21" name = "__codelineno-15-21" href = "#__codelineno-15-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-22" name = "__codelineno-15-22" href = "#__codelineno-15-22" > < / a >
< a id = "__codelineno-15-23" name = "__codelineno-15-23" href = "#__codelineno-15-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-15-24" name = "__codelineno-15-24" href = "#__codelineno-15-24" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-15-25" name = "__codelineno-15-25" href = "#__codelineno-15-25" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-15-26" name = "__codelineno-15-26" href = "#__codelineno-15-26" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-15-27" name = "__codelineno-15-27" href = "#__codelineno-15-27" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-28" name = "__codelineno-15-28" href = "#__codelineno-15-28" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-15-29" name = "__codelineno-15-29" href = "#__codelineno-15-29" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-15-30" name = "__codelineno-15-30" href = "#__codelineno-15-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-15-31" name = "__codelineno-15-31" href = "#__codelineno-15-31" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.go< / span > < pre > < span > < / span > < code > < a id = "__codelineno-16-1" name = "__codelineno-16-1" href = "#__codelineno-16-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-16-2" name = "__codelineno-16-2" href = "#__codelineno-16-2" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > bst< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > binarySearchTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > insert< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-3" name = "__codelineno-16-3" href = "#__codelineno-16-3" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span >
< a id = "__codelineno-16-4" name = "__codelineno-16-4" href = "#__codelineno-16-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-16-5" name = "__codelineno-16-5" href = "#__codelineno-16-5" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-6" name = "__codelineno-16-6" href = "#__codelineno-16-6" > < / a > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > NewTreeNode< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-16-7" name = "__codelineno-16-7" href = "#__codelineno-16-7" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-16-8" name = "__codelineno-16-8" href = "#__codelineno-16-8" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-9" name = "__codelineno-16-9" href = "#__codelineno-16-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待插入节点之前的节点位置< / span >
< a id = "__codelineno-16-10" name = "__codelineno-16-10" href = "#__codelineno-16-10" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span >
< a id = "__codelineno-16-11" name = "__codelineno-16-11" href = "#__codelineno-16-11" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-16-12" name = "__codelineno-16-12" href = "#__codelineno-16-12" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-13" name = "__codelineno-16-13" href = "#__codelineno-16-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-14" name = "__codelineno-16-14" href = "#__codelineno-16-14" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-16-15" name = "__codelineno-16-15" href = "#__codelineno-16-15" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-16" name = "__codelineno-16-16" href = "#__codelineno-16-16" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span >
< a id = "__codelineno-16-17" name = "__codelineno-16-17" href = "#__codelineno-16-17" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "p" > .(< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-18" name = "__codelineno-16-18" href = "#__codelineno-16-18" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-16-19" name = "__codelineno-16-19" href = "#__codelineno-16-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-20" name = "__codelineno-16-20" href = "#__codelineno-16-20" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-16-21" name = "__codelineno-16-21" href = "#__codelineno-16-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-22" name = "__codelineno-16-22" href = "#__codelineno-16-22" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-23" name = "__codelineno-16-23" href = "#__codelineno-16-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-16-24" name = "__codelineno-16-24" href = "#__codelineno-16-24" > < / a > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > NewTreeNode< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-16-25" name = "__codelineno-16-25" href = "#__codelineno-16-25" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "p" > .(< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-26" name = "__codelineno-16-26" href = "#__codelineno-16-26" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span >
< a id = "__codelineno-16-27" name = "__codelineno-16-27" href = "#__codelineno-16-27" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-16-28" name = "__codelineno-16-28" href = "#__codelineno-16-28" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span >
< a id = "__codelineno-16-29" name = "__codelineno-16-29" href = "#__codelineno-16-29" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-16-30" name = "__codelineno-16-30" href = "#__codelineno-16-30" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.swift< / span > < pre > < span > < / span > < code > < a id = "__codelineno-17-1" name = "__codelineno-17-1" href = "#__codelineno-17-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-17-2" name = "__codelineno-17-2" href = "#__codelineno-17-2" > < / a > < span class = "kd" > func< / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-3" name = "__codelineno-17-3" href = "#__codelineno-17-3" > < / a > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-17-4" name = "__codelineno-17-4" href = "#__codelineno-17-4" > < / a > < span class = "k" > if< / span > < span class = "n" > root< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-5" name = "__codelineno-17-5" href = "#__codelineno-17-5" > < / a > < span class = "n" > root< / span > < span class = "p" > =< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > x< / span > < span class = "p" > :< / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-17-6" name = "__codelineno-17-6" href = "#__codelineno-17-6" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-17-7" name = "__codelineno-17-7" href = "#__codelineno-17-7" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-17-8" name = "__codelineno-17-8" href = "#__codelineno-17-8" > < / a > < span class = "kd" > var< / span > < span class = "nv" > cur< / span > < span class = "p" > =< / span > < span class = "n" > root< / span >
< a id = "__codelineno-17-9" name = "__codelineno-17-9" href = "#__codelineno-17-9" > < / a > < span class = "kd" > var< / span > < span class = "nv" > pre< / span > < span class = "p" > :< / span > < span class = "n" > TreeNode< / span > < span class = "p" > ?< / span >
< a id = "__codelineno-17-10" name = "__codelineno-17-10" href = "#__codelineno-17-10" > < / a > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-17-11" name = "__codelineno-17-11" href = "#__codelineno-17-11" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-12" name = "__codelineno-17-12" href = "#__codelineno-17-12" > < / a > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-17-13" name = "__codelineno-17-13" href = "#__codelineno-17-13" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "p" > ==< / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-14" name = "__codelineno-17-14" href = "#__codelineno-17-14" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-17-15" name = "__codelineno-17-15" href = "#__codelineno-17-15" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-17-16" name = "__codelineno-17-16" href = "#__codelineno-17-16" > < / a > < span class = "n" > pre< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-17-17" name = "__codelineno-17-17" href = "#__codelineno-17-17" > < / a > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-17-18" name = "__codelineno-17-18" href = "#__codelineno-17-18" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-19" name = "__codelineno-17-19" href = "#__codelineno-17-19" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-17-20" name = "__codelineno-17-20" href = "#__codelineno-17-20" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-17-21" name = "__codelineno-17-21" href = "#__codelineno-17-21" > < / a > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-17-22" name = "__codelineno-17-22" href = "#__codelineno-17-22" > < / a > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-23" name = "__codelineno-17-23" href = "#__codelineno-17-23" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span >
< a id = "__codelineno-17-24" name = "__codelineno-17-24" href = "#__codelineno-17-24" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-17-25" name = "__codelineno-17-25" href = "#__codelineno-17-25" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-17-26" name = "__codelineno-17-26" href = "#__codelineno-17-26" > < / a > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-17-27" name = "__codelineno-17-27" href = "#__codelineno-17-27" > < / a > < span class = "kd" > let< / span > < span class = "nv" > node< / span > < span class = "p" > =< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > x< / span > < span class = "p" > :< / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-17-28" name = "__codelineno-17-28" href = "#__codelineno-17-28" > < / a > < span class = "k" > if< / span > < span class = "n" > pre< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-29" name = "__codelineno-17-29" href = "#__codelineno-17-29" > < / a > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span > < span class = "p" > =< / span > < span class = "n" > node< / span >
< a id = "__codelineno-17-30" name = "__codelineno-17-30" href = "#__codelineno-17-30" > < / a > < span class = "p" > }< / span > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-17-31" name = "__codelineno-17-31" href = "#__codelineno-17-31" > < / a > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > =< / span > < span class = "n" > node< / span >
< a id = "__codelineno-17-32" name = "__codelineno-17-32" href = "#__codelineno-17-32" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-17-33" name = "__codelineno-17-33" href = "#__codelineno-17-33" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.js< / span > < pre > < span > < / span > < code > < a id = "__codelineno-18-1" name = "__codelineno-18-1" href = "#__codelineno-18-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-18-2" name = "__codelineno-18-2" href = "#__codelineno-18-2" > < / a > < span class = "nx" > insert< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-3" name = "__codelineno-18-3" href = "#__codelineno-18-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-18-4" name = "__codelineno-18-4" href = "#__codelineno-18-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-5" name = "__codelineno-18-5" href = "#__codelineno-18-5" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-18-6" name = "__codelineno-18-6" href = "#__codelineno-18-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-7" name = "__codelineno-18-7" href = "#__codelineno-18-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-8" name = "__codelineno-18-8" href = "#__codelineno-18-8" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-18-9" name = "__codelineno-18-9" href = "#__codelineno-18-9" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-10" name = "__codelineno-18-10" href = "#__codelineno-18-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-18-11" name = "__codelineno-18-11" href = "#__codelineno-18-11" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-18-12" name = "__codelineno-18-12" href = "#__codelineno-18-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-18-13" name = "__codelineno-18-13" href = "#__codelineno-18-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-14" name = "__codelineno-18-14" href = "#__codelineno-18-14" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-15" name = "__codelineno-18-15" href = "#__codelineno-18-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-18-16" name = "__codelineno-18-16" href = "#__codelineno-18-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-17" name = "__codelineno-18-17" href = "#__codelineno-18-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-18-18" name = "__codelineno-18-18" href = "#__codelineno-18-18" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-19" name = "__codelineno-18-19" href = "#__codelineno-18-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-18-20" name = "__codelineno-18-20" href = "#__codelineno-18-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-18-21" name = "__codelineno-18-21" href = "#__codelineno-18-21" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-18-22" name = "__codelineno-18-22" href = "#__codelineno-18-22" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-23" name = "__codelineno-18-23" href = "#__codelineno-18-23" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-18-24" name = "__codelineno-18-24" href = "#__codelineno-18-24" > < / a > < span class = "p" > }< / span >
2023-06-02 02:38:32 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.ts< / span > < pre > < span > < / span > < code > < a id = "__codelineno-19-1" name = "__codelineno-19-1" href = "#__codelineno-19-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-19-2" name = "__codelineno-19-2" href = "#__codelineno-19-2" > < / a > < span class = "nx" > insert< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "ow" > void< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-3" name = "__codelineno-19-3" href = "#__codelineno-19-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-19-4" name = "__codelineno-19-4" href = "#__codelineno-19-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-5" name = "__codelineno-19-5" href = "#__codelineno-19-5" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-19-6" name = "__codelineno-19-6" href = "#__codelineno-19-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-19-7" name = "__codelineno-19-7" href = "#__codelineno-19-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-19-8" name = "__codelineno-19-8" href = "#__codelineno-19-8" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-19-9" name = "__codelineno-19-9" href = "#__codelineno-19-9" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-19-10" name = "__codelineno-19-10" href = "#__codelineno-19-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-19-11" name = "__codelineno-19-11" href = "#__codelineno-19-11" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-19-12" name = "__codelineno-19-12" href = "#__codelineno-19-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-19-13" name = "__codelineno-19-13" href = "#__codelineno-19-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-19-14" name = "__codelineno-19-14" href = "#__codelineno-19-14" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-19-15" name = "__codelineno-19-15" href = "#__codelineno-19-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-19-16" name = "__codelineno-19-16" href = "#__codelineno-19-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-19-17" name = "__codelineno-19-17" href = "#__codelineno-19-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-19-18" name = "__codelineno-19-18" href = "#__codelineno-19-18" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-19-19" name = "__codelineno-19-19" href = "#__codelineno-19-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-19-20" name = "__codelineno-19-20" href = "#__codelineno-19-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-19-21" name = "__codelineno-19-21" href = "#__codelineno-19-21" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nx" > TreeNode< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-19-22" name = "__codelineno-19-22" href = "#__codelineno-19-22" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-19-23" name = "__codelineno-19-23" href = "#__codelineno-19-23" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-19-24" name = "__codelineno-19-24" href = "#__codelineno-19-24" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.dart< / span > < pre > < span > < / span > < code > < a id = "__codelineno-20-1" name = "__codelineno-20-1" href = "#__codelineno-20-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-20-2" name = "__codelineno-20-2" href = "#__codelineno-20-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "n" > insert< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-20-3" name = "__codelineno-20-3" href = "#__codelineno-20-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-20-4" name = "__codelineno-20-4" href = "#__codelineno-20-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > _root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-20-5" name = "__codelineno-20-5" href = "#__codelineno-20-5" > < / a > < span class = "w" > < / span > < span class = "n" > _root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > _num< / span > < span class = "p" > );< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-20-6" name = "__codelineno-20-6" href = "#__codelineno-20-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-7" name = "__codelineno-20-7" href = "#__codelineno-20-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-8" name = "__codelineno-20-8" href = "#__codelineno-20-8" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > _root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-9" name = "__codelineno-20-9" href = "#__codelineno-20-9" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-10" name = "__codelineno-20-10" href = "#__codelineno-20-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-20-11" name = "__codelineno-20-11" href = "#__codelineno-20-11" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-20-12" name = "__codelineno-20-12" href = "#__codelineno-20-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-20-13" name = "__codelineno-20-13" href = "#__codelineno-20-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-20-14" name = "__codelineno-20-14" href = "#__codelineno-20-14" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-15" name = "__codelineno-20-15" href = "#__codelineno-20-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-20-16" name = "__codelineno-20-16" href = "#__codelineno-20-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-20-17" name = "__codelineno-20-17" href = "#__codelineno-20-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-18" name = "__codelineno-20-18" href = "#__codelineno-20-18" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-20-19" name = "__codelineno-20-19" href = "#__codelineno-20-19" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-20-20" name = "__codelineno-20-20" href = "#__codelineno-20-20" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-21" name = "__codelineno-20-21" href = "#__codelineno-20-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-20-22" name = "__codelineno-20-22" href = "#__codelineno-20-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-20-23" name = "__codelineno-20-23" href = "#__codelineno-20-23" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > _num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-20-24" name = "__codelineno-20-24" href = "#__codelineno-20-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-20-25" name = "__codelineno-20-25" href = "#__codelineno-20-25" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-26" name = "__codelineno-20-26" href = "#__codelineno-20-26" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-20-27" name = "__codelineno-20-27" href = "#__codelineno-20-27" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-20-28" name = "__codelineno-20-28" href = "#__codelineno-20-28" > < / a > < span class = "p" > }< / span >
2023-06-02 02:38:32 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.rs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-21-1" name = "__codelineno-21-1" href = "#__codelineno-21-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
< a id = "__codelineno-21-2" name = "__codelineno-21-2" href = "#__codelineno-21-2" > < / a > < span class = "k" > pub< / span > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > num< / span > : < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-3" name = "__codelineno-21-3" href = "#__codelineno-21-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-21-4" name = "__codelineno-21-4" href = "#__codelineno-21-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > .< / span > < span class = "n" > is_none< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-5" name = "__codelineno-21-5" href = "#__codelineno-21-5" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > TreeNode< / span > ::< span class = "n" > new< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-21-6" name = "__codelineno-21-6" href = "#__codelineno-21-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-7" name = "__codelineno-21-7" href = "#__codelineno-21-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-8" name = "__codelineno-21-8" href = "#__codelineno-21-8" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-21-9" name = "__codelineno-21-9" href = "#__codelineno-21-9" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > None< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-10" name = "__codelineno-21-10" href = "#__codelineno-21-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-21-11" name = "__codelineno-21-11" href = "#__codelineno-21-11" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > node< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-25 02:38:25 +08:00
< a id = "__codelineno-21-12" name = "__codelineno-21-12" href = "#__codelineno-21-12" > < / a > < span class = "w" > < / span > < span class = "k" > match< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > .< / span > < span class = "n" > cmp< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > val< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-13" name = "__codelineno-21-13" href = "#__codelineno-21-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-21-14" name = "__codelineno-21-14" href = "#__codelineno-21-14" > < / a > < span class = "w" > < / span > < span class = "n" > Ordering< / span > ::< span class = "n" > Equal< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-21-15" name = "__codelineno-21-15" href = "#__codelineno-21-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-21-16" name = "__codelineno-21-16" href = "#__codelineno-21-16" > < / a > < span class = "w" > < / span > < span class = "n" > Ordering< / span > ::< span class = "n" > Greater< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-17" name = "__codelineno-21-17" href = "#__codelineno-21-17" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-21-18" name = "__codelineno-21-18" href = "#__codelineno-21-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > right< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-21-19" name = "__codelineno-21-19" href = "#__codelineno-21-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-20" name = "__codelineno-21-20" href = "#__codelineno-21-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-21-21" name = "__codelineno-21-21" href = "#__codelineno-21-21" > < / a > < span class = "w" > < / span > < span class = "n" > Ordering< / span > ::< span class = "n" > Less< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-22" name = "__codelineno-21-22" href = "#__codelineno-21-22" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-21-23" name = "__codelineno-21-23" href = "#__codelineno-21-23" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > left< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-21-24" name = "__codelineno-21-24" href = "#__codelineno-21-24" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-25" name = "__codelineno-21-25" href = "#__codelineno-21-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-26" name = "__codelineno-21-26" href = "#__codelineno-21-26" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-27" name = "__codelineno-21-27" href = "#__codelineno-21-27" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-21-28" name = "__codelineno-21-28" href = "#__codelineno-21-28" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > unwrap< / span > < span class = "p" > ();< / span >
2023-12-25 02:38:25 +08:00
< a id = "__codelineno-21-29" name = "__codelineno-21-29" href = "#__codelineno-21-29" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > TreeNode< / span > ::< span class = "n" > new< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-21-30" name = "__codelineno-21-30" href = "#__codelineno-21-30" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-31" name = "__codelineno-21-31" href = "#__codelineno-21-31" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > borrow_mut< / span > < span class = "p" > ().< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-32" name = "__codelineno-21-32" href = "#__codelineno-21-32" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-21-33" name = "__codelineno-21-33" href = "#__codelineno-21-33" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > borrow_mut< / span > < span class = "p" > ().< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-21-34" name = "__codelineno-21-34" href = "#__codelineno-21-34" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-21-35" name = "__codelineno-21-35" href = "#__codelineno-21-35" > < / a > < span class = "p" > }< / span >
2023-07-26 10:57:52 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.c< / span > < pre > < span > < / span > < code > < a id = "__codelineno-22-1" name = "__codelineno-22-1" href = "#__codelineno-22-1" > < / a > < span class = "cm" > /* 插入节点 */< / span >
2023-10-18 02:17:09 +08:00
< a id = "__codelineno-22-2" name = "__codelineno-22-2" href = "#__codelineno-22-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > insert< / span > < span class = "p" > (< / span > < span class = "n" > BinarySearchTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > bst< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-22-3" name = "__codelineno-22-3" href = "#__codelineno-22-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-22-4" name = "__codelineno-22-4" href = "#__codelineno-22-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-5" name = "__codelineno-22-5" href = "#__codelineno-22-5" > < / a > < span class = "w" > < / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > newTreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-6" name = "__codelineno-22-6" href = "#__codelineno-22-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-7" name = "__codelineno-22-7" href = "#__codelineno-22-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-8" name = "__codelineno-22-8" href = "#__codelineno-22-8" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-9" name = "__codelineno-22-9" href = "#__codelineno-22-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-22-10" name = "__codelineno-22-10" href = "#__codelineno-22-10" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-11" name = "__codelineno-22-11" href = "#__codelineno-22-11" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-22-12" name = "__codelineno-22-12" href = "#__codelineno-22-12" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-13" name = "__codelineno-22-13" href = "#__codelineno-22-13" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-14" name = "__codelineno-22-14" href = "#__codelineno-22-14" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-15" name = "__codelineno-22-15" href = "#__codelineno-22-15" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-16" name = "__codelineno-22-16" href = "#__codelineno-22-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-17" name = "__codelineno-22-17" href = "#__codelineno-22-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-22-18" name = "__codelineno-22-18" href = "#__codelineno-22-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-19" name = "__codelineno-22-19" href = "#__codelineno-22-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-20" name = "__codelineno-22-20" href = "#__codelineno-22-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-22-21" name = "__codelineno-22-21" href = "#__codelineno-22-21" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-22" name = "__codelineno-22-22" href = "#__codelineno-22-22" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-23" name = "__codelineno-22-23" href = "#__codelineno-22-23" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-24" name = "__codelineno-22-24" href = "#__codelineno-22-24" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-22-25" name = "__codelineno-22-25" href = "#__codelineno-22-25" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > newTreeNode< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-22-26" name = "__codelineno-22-26" href = "#__codelineno-22-26" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-27" name = "__codelineno-22-27" href = "#__codelineno-22-27" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-28" name = "__codelineno-22-28" href = "#__codelineno-22-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-22-29" name = "__codelineno-22-29" href = "#__codelineno-22-29" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-22-30" name = "__codelineno-22-30" href = "#__codelineno-22-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-22-31" name = "__codelineno-22-31" href = "#__codelineno-22-31" > < / a > < span class = "p" > }< / span >
2023-07-26 10:57:52 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.zig< / span > < pre > < span > < / span > < code > < a id = "__codelineno-23-1" name = "__codelineno-23-1" href = "#__codelineno-23-1" > < / a > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-23-2" name = "__codelineno-23-2" href = "#__codelineno-23-2" > < / a > < span class = "k" > fn< / span > < span class = "w" > < / span > < span class = "n" > insert< / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > Self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > !< / span > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-3" name = "__codelineno-23-3" href = "#__codelineno-23-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，则初始化根节点< / span >
< a id = "__codelineno-23-4" name = "__codelineno-23-4" href = "#__codelineno-23-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-5" name = "__codelineno-23-5" href = "#__codelineno-23-5" > < / a > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > try< / span > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > mem_allocator< / span > < span class = "p" > .< / span > < span class = "n" > create< / span > < span class = "p" > (< / span > < span class = "n" > inc< / span > < span class = "p" > .< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > T< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-23-6" name = "__codelineno-23-6" href = "#__codelineno-23-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-7" name = "__codelineno-23-7" href = "#__codelineno-23-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-8" name = "__codelineno-23-8" href = "#__codelineno-23-8" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-9" name = "__codelineno-23-9" href = "#__codelineno-23-9" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > ?*< / span > < span class = "n" > inc< / span > < span class = "p" > .< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-10" name = "__codelineno-23-10" href = "#__codelineno-23-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-23-11" name = "__codelineno-23-11" href = "#__codelineno-23-11" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-12" name = "__codelineno-23-12" href = "#__codelineno-23-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到重复节点，直接返回< / span >
< a id = "__codelineno-23-13" name = "__codelineno-23-13" href = "#__codelineno-23-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-14" name = "__codelineno-23-14" href = "#__codelineno-23-14" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-15" name = "__codelineno-23-15" href = "#__codelineno-23-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的右子树中< / span >
< a id = "__codelineno-23-16" name = "__codelineno-23-16" href = "#__codelineno-23-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-17" name = "__codelineno-23-17" href = "#__codelineno-23-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-18" name = "__codelineno-23-18" href = "#__codelineno-23-18" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入位置在 cur 的左子树中< / span >
< a id = "__codelineno-23-19" name = "__codelineno-23-19" href = "#__codelineno-23-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-20" name = "__codelineno-23-20" href = "#__codelineno-23-20" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-21" name = "__codelineno-23-21" href = "#__codelineno-23-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-22" name = "__codelineno-23-22" href = "#__codelineno-23-22" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-23" name = "__codelineno-23-23" href = "#__codelineno-23-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 插入节点< / span >
< a id = "__codelineno-23-24" name = "__codelineno-23-24" href = "#__codelineno-23-24" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > try< / span > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > mem_allocator< / span > < span class = "p" > .< / span > < span class = "n" > create< / span > < span class = "p" > (< / span > < span class = "n" > inc< / span > < span class = "p" > .< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > T< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-23-25" name = "__codelineno-23-25" href = "#__codelineno-23-25" > < / a > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > init< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > );< / span >
< a id = "__codelineno-23-26" name = "__codelineno-23-26" href = "#__codelineno-23-26" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-27" name = "__codelineno-23-27" href = "#__codelineno-23-27" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-28" name = "__codelineno-23-28" href = "#__codelineno-23-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-23-29" name = "__codelineno-23-29" href = "#__codelineno-23-29" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-23-30" name = "__codelineno-23-30" href = "#__codelineno-23-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-23-31" name = "__codelineno-23-31" href = "#__codelineno-23-31" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< / div >
< / div >
2023-04-09 04:35:05 +08:00
< p > 与查找节点相同，插入节点使用 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间。< / p >
2023-08-20 13:37:20 +08:00
< h3 id = "3" > 3. 删除节点< a class = "headerlink" href = "#3" title = "Permanent link" > ¶ < / a > < / h3 >
2023-12-28 17:18:44 +08:00
< p > 先在二叉树中查找到目标节点，再将其删除。与插入节点类似，我们需要保证在删除操作完成后，二叉搜索树的“左子树 < 根节点 < 右子树”的性质仍然满足。因此，我们根据目标节点的子节点数量，分 0、1 和 2 三种情况，执行对应的删除节点操作。< / p >
2023-08-27 23:41:10 +08:00
< p > 如图 7-19 所示，当待删除节点的度为 < span class = "arithmatex" > \(0\)< / span > 时，表示该节点是叶节点，可以直接删除。< / p >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_remove_case1.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "在二叉搜索树中删除节点（度为 0 ） class = "animation-figure" src = "../binary_search_tree.assets/bst_remove_case1.png" / > < / a > < / p >
2023-08-28 23:52:27 +08:00
< p align = "center" > 图 7-19 在二叉搜索树中删除节点（度为 0 ） < / p >
2023-04-09 04:35:05 +08:00
2023-08-22 13:50:24 +08:00
< p > 如图 7-20 所示，当待删除节点的度为 < span class = "arithmatex" > \(1\)< / span > 时，将待删除节点替换为其子节点即可。< / p >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_remove_case2.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "在二叉搜索树中删除节点（度为 1 ） class = "animation-figure" src = "../binary_search_tree.assets/bst_remove_case2.png" / > < / a > < / p >
2023-08-28 23:52:27 +08:00
< p align = "center" > 图 7-20 在二叉搜索树中删除节点（度为 1 ） < / p >
2023-04-09 04:35:05 +08:00
2023-12-02 06:24:11 +08:00
< p > 当待删除节点的度为 < span class = "arithmatex" > \(2\)< / span > 时，我们无法直接删除它，而需要使用一个节点替换该节点。由于要保持二叉搜索树“左子树 < span class = "arithmatex" > \(< \)< / span > 根节点 < span class = "arithmatex" > \(< \)< / span > 右子树”的性质，< strong > 因此这个节点可以是右子树的最小节点或左子树的最大节点< / strong > 。< / p >
< p > 假设我们选择右子树的最小节点（中序遍历的下一个节点），则删除操作流程如图 7-21 所示。< / p >
2023-02-08 14:54:41 +08:00
< ol >
2023-07-26 08:59:03 +08:00
< li > 找到待删除节点在“中序遍历序列”中的下一个节点，记为 < code > tmp< / code > 。< / li >
2023-12-02 06:24:11 +08:00
< li > 用 < code > tmp< / code > 的值覆盖待删除节点的值，并在树中递归删除节点 < code > tmp< / code > 。< / li >
2023-02-08 14:54:41 +08:00
< / ol >
2023-02-22 00:57:11 +08:00
< div class = "tabbed-set tabbed-alternate" data-tabs = "4:4" > < input checked = "checked" id = "__tabbed_4_1" name = "__tabbed_4" type = "radio" / > < input id = "__tabbed_4_2" name = "__tabbed_4" type = "radio" / > < input id = "__tabbed_4_3" name = "__tabbed_4" type = "radio" / > < input id = "__tabbed_4_4" name = "__tabbed_4" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_4_1" > < 1> < / label > < label for = "__tabbed_4_2" > < 2> < / label > < label for = "__tabbed_4_3" > < 3> < / label > < label for = "__tabbed_4_4" > < 4> < / label > < / div >
2023-02-08 14:54:41 +08:00
< div class = "tabbed-content" >
< div class = "tabbed-block" >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_remove_case3_step1.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "在二叉搜索树中删除节点（度为 2 ） class = "animation-figure" src = "../binary_search_tree.assets/bst_remove_case3_step1.png" / > < / a > < / p >
2023-02-08 14:54:41 +08:00
< / div >
< div class = "tabbed-block" >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_remove_case3_step2.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "bst_remove_case3_step2" class = "animation-figure" src = "../binary_search_tree.assets/bst_remove_case3_step2.png" / > < / a > < / p >
2023-02-08 14:54:41 +08:00
< / div >
< div class = "tabbed-block" >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_remove_case3_step3.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "bst_remove_case3_step3" class = "animation-figure" src = "../binary_search_tree.assets/bst_remove_case3_step3.png" / > < / a > < / p >
2023-02-08 14:54:41 +08:00
< / div >
< div class = "tabbed-block" >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_remove_case3_step4.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "bst_remove_case3_step4" class = "animation-figure" src = "../binary_search_tree.assets/bst_remove_case3_step4.png" / > < / a > < / p >
2023-02-08 14:54:41 +08:00
< / div >
< / div >
< / div >
2023-08-28 23:52:27 +08:00
< p align = "center" > 图 7-21 在二叉搜索树中删除节点（度为 2 ） < / p >
2023-08-17 05:12:16 +08:00
2023-12-02 06:24:11 +08:00
< p > 删除节点操作同样使用 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间，其中查找待删除节点需要 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间，获取中序遍历后继节点需要 < span class = "arithmatex" > \(O(\log n)\)< / span > 时间。示例代码如下：< / p >
2023-09-04 03:17:06 +08:00
< div class = "tabbed-set tabbed-alternate" data-tabs = "5:12" > < input checked = "checked" id = "__tabbed_5_1" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_2" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_3" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_4" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_5" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_6" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_7" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_8" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_9" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_10" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_11" name = "__tabbed_5" type = "radio" / > < input id = "__tabbed_5_12" name = "__tabbed_5" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_5_1" > Python< / label > < label for = "__tabbed_5_2" > C++< / label > < label for = "__tabbed_5_3" > Java< / label > < label for = "__tabbed_5_4" > C#< / label > < label for = "__tabbed_5_5" > Go< / label > < label for = "__tabbed_5_6" > Swift< / label > < label for = "__tabbed_5_7" > JS< / label > < label for = "__tabbed_5_8" > TS< / label > < label for = "__tabbed_5_9" > Dart< / label > < label for = "__tabbed_5_10" > Rust< / label > < label for = "__tabbed_5_11" > C< / label > < label for = "__tabbed_5_12" > Zig< / label > < / div >
2023-02-08 14:54:41 +08:00
< div class = "tabbed-content" >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.py< / span > < pre > < span > < / span > < code > < a id = "__codelineno-24-1" name = "__codelineno-24-1" href = "#__codelineno-24-1" > < / a > < span class = "k" > def< / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > ):< / span >
< a id = "__codelineno-24-2" name = "__codelineno-24-2" href = "#__codelineno-24-2" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 删除节点" " " < / span >
< a id = "__codelineno-24-3" name = "__codelineno-24-3" href = "#__codelineno-24-3" > < / a > < span class = "c1" > # 若树为空，直接提前返回< / span >
2023-10-14 22:15:01 +08:00
< a id = "__codelineno-24-4" name = "__codelineno-24-4" href = "#__codelineno-24-4" > < / a > < span class = "k" > if< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _root< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-24-5" name = "__codelineno-24-5" href = "#__codelineno-24-5" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-24-6" name = "__codelineno-24-6" href = "#__codelineno-24-6" > < / a > < span class = "c1" > # 循环查找，越过叶节点后跳出< / span >
2023-10-14 22:15:01 +08:00
< a id = "__codelineno-24-7" name = "__codelineno-24-7" href = "#__codelineno-24-7" > < / a > < span class = "n" > cur< / span > < span class = "p" > ,< / span > < span class = "n" > pre< / span > < span class = "o" > =< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _root< / span > < span class = "p" > ,< / span > < span class = "kc" > None< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-24-8" name = "__codelineno-24-8" href = "#__codelineno-24-8" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "ow" > is< / span > < span class = "ow" > not< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-9" name = "__codelineno-24-9" href = "#__codelineno-24-9" > < / a > < span class = "c1" > # 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-24-10" name = "__codelineno-24-10" href = "#__codelineno-24-10" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > ==< / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-11" name = "__codelineno-24-11" href = "#__codelineno-24-11" > < / a > < span class = "k" > break< / span >
< a id = "__codelineno-24-12" name = "__codelineno-24-12" href = "#__codelineno-24-12" > < / a > < span class = "n" > pre< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-24-13" name = "__codelineno-24-13" href = "#__codelineno-24-13" > < / a > < span class = "c1" > # 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-24-14" name = "__codelineno-24-14" href = "#__codelineno-24-14" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-15" name = "__codelineno-24-15" href = "#__codelineno-24-15" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
< a id = "__codelineno-24-16" name = "__codelineno-24-16" href = "#__codelineno-24-16" > < / a > < span class = "c1" > # 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-24-17" name = "__codelineno-24-17" href = "#__codelineno-24-17" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-18" name = "__codelineno-24-18" href = "#__codelineno-24-18" > < / a > < span class = "n" > cur< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span >
< a id = "__codelineno-24-19" name = "__codelineno-24-19" href = "#__codelineno-24-19" > < / a > < span class = "c1" > # 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-24-20" name = "__codelineno-24-20" href = "#__codelineno-24-20" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-21" name = "__codelineno-24-21" href = "#__codelineno-24-21" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-24-22" name = "__codelineno-24-22" href = "#__codelineno-24-22" > < / a >
< a id = "__codelineno-24-23" name = "__codelineno-24-23" href = "#__codelineno-24-23" > < / a > < span class = "c1" > # 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-24-24" name = "__codelineno-24-24" href = "#__codelineno-24-24" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "ow" > or< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span > < span class = "ow" > is< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-25" name = "__codelineno-24-25" href = "#__codelineno-24-25" > < / a > < span class = "c1" > # 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-24-26" name = "__codelineno-24-26" href = "#__codelineno-24-26" > < / a > < span class = "n" > child< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "ow" > or< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
< a id = "__codelineno-24-27" name = "__codelineno-24-27" href = "#__codelineno-24-27" > < / a > < span class = "c1" > # 删除节点 cur< / span >
2023-10-14 22:15:01 +08:00
< a id = "__codelineno-24-28" name = "__codelineno-24-28" href = "#__codelineno-24-28" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > !=< / span > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _root< / span > < span class = "p" > :< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-24-29" name = "__codelineno-24-29" href = "#__codelineno-24-29" > < / a > < span class = "k" > if< / span > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "o" > ==< / span > < span class = "n" > cur< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-30" name = "__codelineno-24-30" href = "#__codelineno-24-30" > < / a > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "o" > =< / span > < span class = "n" > child< / span >
< a id = "__codelineno-24-31" name = "__codelineno-24-31" href = "#__codelineno-24-31" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-32" name = "__codelineno-24-32" href = "#__codelineno-24-32" > < / a > < span class = "n" > pre< / span > < span class = "o" > .< / span > < span class = "n" > right< / span > < span class = "o" > =< / span > < span class = "n" > child< / span >
< a id = "__codelineno-24-33" name = "__codelineno-24-33" href = "#__codelineno-24-33" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-34" name = "__codelineno-24-34" href = "#__codelineno-24-34" > < / a > < span class = "c1" > # 若删除节点为根节点，则重新指定根节点< / span >
2023-10-14 22:15:01 +08:00
< a id = "__codelineno-24-35" name = "__codelineno-24-35" href = "#__codelineno-24-35" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > _root< / span > < span class = "o" > =< / span > < span class = "n" > child< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-24-36" name = "__codelineno-24-36" href = "#__codelineno-24-36" > < / a > < span class = "c1" > # 子节点数量 = 2< / span >
< a id = "__codelineno-24-37" name = "__codelineno-24-37" href = "#__codelineno-24-37" > < / a > < span class = "k" > else< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-38" name = "__codelineno-24-38" href = "#__codelineno-24-38" > < / a > < span class = "c1" > # 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-24-39" name = "__codelineno-24-39" href = "#__codelineno-24-39" > < / a > < span class = "n" > tmp< / span > < span class = "p" > :< / span > < span class = "n" > TreeNode< / span > < span class = "o" > =< / span > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > right< / span >
< a id = "__codelineno-24-40" name = "__codelineno-24-40" href = "#__codelineno-24-40" > < / a > < span class = "k" > while< / span > < span class = "n" > tmp< / span > < span class = "o" > .< / span > < span class = "n" > left< / span > < span class = "ow" > is< / span > < span class = "ow" > not< / span > < span class = "kc" > None< / span > < span class = "p" > :< / span >
< a id = "__codelineno-24-41" name = "__codelineno-24-41" href = "#__codelineno-24-41" > < / a > < span class = "n" > tmp< / span > < span class = "o" > =< / span > < span class = "n" > tmp< / span > < span class = "o" > .< / span > < span class = "n" > left< / span >
< a id = "__codelineno-24-42" name = "__codelineno-24-42" href = "#__codelineno-24-42" > < / a > < span class = "c1" > # 递归删除节点 tmp< / span >
< a id = "__codelineno-24-43" name = "__codelineno-24-43" href = "#__codelineno-24-43" > < / a > < span class = "bp" > self< / span > < span class = "o" > .< / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-24-44" name = "__codelineno-24-44" href = "#__codelineno-24-44" > < / a > < span class = "c1" > # 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-24-45" name = "__codelineno-24-45" href = "#__codelineno-24-45" > < / a > < span class = "n" > cur< / span > < span class = "o" > .< / span > < span class = "n" > val< / span > < span class = "o" > =< / span > < span class = "n" > tmp< / span > < span class = "o" > .< / span > < span class = "n" > val< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.cpp< / span > < pre > < span > < / span > < code > < a id = "__codelineno-25-1" name = "__codelineno-25-1" href = "#__codelineno-25-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-25-2" name = "__codelineno-25-2" href = "#__codelineno-25-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-3" name = "__codelineno-25-3" href = "#__codelineno-25-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-25-4" name = "__codelineno-25-4" href = "#__codelineno-25-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-5" name = "__codelineno-25-5" href = "#__codelineno-25-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-6" name = "__codelineno-25-6" href = "#__codelineno-25-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-7" name = "__codelineno-25-7" href = "#__codelineno-25-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-25-8" name = "__codelineno-25-8" href = "#__codelineno-25-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-9" name = "__codelineno-25-9" href = "#__codelineno-25-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-25-10" name = "__codelineno-25-10" href = "#__codelineno-25-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-11" name = "__codelineno-25-11" href = "#__codelineno-25-11" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-12" name = "__codelineno-25-12" href = "#__codelineno-25-12" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-13" name = "__codelineno-25-13" href = "#__codelineno-25-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-25-14" name = "__codelineno-25-14" href = "#__codelineno-25-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-15" name = "__codelineno-25-15" href = "#__codelineno-25-15" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-16" name = "__codelineno-25-16" href = "#__codelineno-25-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-25-17" name = "__codelineno-25-17" href = "#__codelineno-25-17" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-25-18" name = "__codelineno-25-18" href = "#__codelineno-25-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-19" name = "__codelineno-25-19" href = "#__codelineno-25-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-20" name = "__codelineno-25-20" href = "#__codelineno-25-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-25-21" name = "__codelineno-25-21" href = "#__codelineno-25-21" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-22" name = "__codelineno-25-22" href = "#__codelineno-25-22" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-23" name = "__codelineno-25-23" href = "#__codelineno-25-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-25-24" name = "__codelineno-25-24" href = "#__codelineno-25-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-25" name = "__codelineno-25-25" href = "#__codelineno-25-25" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = nullptr / 该子节点< / span >
< a id = "__codelineno-25-26" name = "__codelineno-25-26" href = "#__codelineno-25-26" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-27" name = "__codelineno-25-27" href = "#__codelineno-25-27" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-25-28" name = "__codelineno-25-28" href = "#__codelineno-25-28" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-29" name = "__codelineno-25-29" href = "#__codelineno-25-29" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span >
< a id = "__codelineno-25-30" name = "__codelineno-25-30" href = "#__codelineno-25-30" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-31" name = "__codelineno-25-31" href = "#__codelineno-25-31" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-25-32" name = "__codelineno-25-32" href = "#__codelineno-25-32" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-33" name = "__codelineno-25-33" href = "#__codelineno-25-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-34" name = "__codelineno-25-34" href = "#__codelineno-25-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-25-35" name = "__codelineno-25-35" href = "#__codelineno-25-35" > < / a > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-36" name = "__codelineno-25-36" href = "#__codelineno-25-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-37" name = "__codelineno-25-37" href = "#__codelineno-25-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 释放内存< / span >
< a id = "__codelineno-25-38" name = "__codelineno-25-38" href = "#__codelineno-25-38" > < / a > < span class = "w" > < / span > < span class = "k" > delete< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-39" name = "__codelineno-25-39" href = "#__codelineno-25-39" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-40" name = "__codelineno-25-40" href = "#__codelineno-25-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-25-41" name = "__codelineno-25-41" href = "#__codelineno-25-41" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-42" name = "__codelineno-25-42" href = "#__codelineno-25-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-25-43" name = "__codelineno-25-43" href = "#__codelineno-25-43" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-44" name = "__codelineno-25-44" href = "#__codelineno-25-44" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > nullptr< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-25-45" name = "__codelineno-25-45" href = "#__codelineno-25-45" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-46" name = "__codelineno-25-46" href = "#__codelineno-25-46" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-47" name = "__codelineno-25-47" href = "#__codelineno-25-47" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > tmpVal< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-48" name = "__codelineno-25-48" href = "#__codelineno-25-48" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-25-49" name = "__codelineno-25-49" href = "#__codelineno-25-49" > < / a > < span class = "w" > < / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-25-50" name = "__codelineno-25-50" href = "#__codelineno-25-50" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-25-51" name = "__codelineno-25-51" href = "#__codelineno-25-51" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmpVal< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-25-52" name = "__codelineno-25-52" href = "#__codelineno-25-52" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-25-53" name = "__codelineno-25-53" href = "#__codelineno-25-53" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.java< / span > < pre > < span > < / span > < code > < a id = "__codelineno-26-1" name = "__codelineno-26-1" href = "#__codelineno-26-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-26-2" name = "__codelineno-26-2" href = "#__codelineno-26-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-3" name = "__codelineno-26-3" href = "#__codelineno-26-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-26-4" name = "__codelineno-26-4" href = "#__codelineno-26-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-26-5" name = "__codelineno-26-5" href = "#__codelineno-26-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-6" name = "__codelineno-26-6" href = "#__codelineno-26-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-7" name = "__codelineno-26-7" href = "#__codelineno-26-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-26-8" name = "__codelineno-26-8" href = "#__codelineno-26-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-9" name = "__codelineno-26-9" href = "#__codelineno-26-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-26-10" name = "__codelineno-26-10" href = "#__codelineno-26-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-26-11" name = "__codelineno-26-11" href = "#__codelineno-26-11" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-12" name = "__codelineno-26-12" href = "#__codelineno-26-12" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-13" name = "__codelineno-26-13" href = "#__codelineno-26-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-26-14" name = "__codelineno-26-14" href = "#__codelineno-26-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-26-15" name = "__codelineno-26-15" href = "#__codelineno-26-15" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-16" name = "__codelineno-26-16" href = "#__codelineno-26-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-26-17" name = "__codelineno-26-17" href = "#__codelineno-26-17" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-26-18" name = "__codelineno-26-18" href = "#__codelineno-26-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-19" name = "__codelineno-26-19" href = "#__codelineno-26-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-20" name = "__codelineno-26-20" href = "#__codelineno-26-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-26-21" name = "__codelineno-26-21" href = "#__codelineno-26-21" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-26-22" name = "__codelineno-26-22" href = "#__codelineno-26-22" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-23" name = "__codelineno-26-23" href = "#__codelineno-26-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-26-24" name = "__codelineno-26-24" href = "#__codelineno-26-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-25" name = "__codelineno-26-25" href = "#__codelineno-26-25" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-26-26" name = "__codelineno-26-26" href = "#__codelineno-26-26" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-27" name = "__codelineno-26-27" href = "#__codelineno-26-27" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-26-28" name = "__codelineno-26-28" href = "#__codelineno-26-28" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-29" name = "__codelineno-26-29" href = "#__codelineno-26-29" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span >
< a id = "__codelineno-26-30" name = "__codelineno-26-30" href = "#__codelineno-26-30" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-31" name = "__codelineno-26-31" href = "#__codelineno-26-31" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-26-32" name = "__codelineno-26-32" href = "#__codelineno-26-32" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-33" name = "__codelineno-26-33" href = "#__codelineno-26-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-34" name = "__codelineno-26-34" href = "#__codelineno-26-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-26-35" name = "__codelineno-26-35" href = "#__codelineno-26-35" > < / a > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-36" name = "__codelineno-26-36" href = "#__codelineno-26-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-37" name = "__codelineno-26-37" href = "#__codelineno-26-37" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-38" name = "__codelineno-26-38" href = "#__codelineno-26-38" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-26-39" name = "__codelineno-26-39" href = "#__codelineno-26-39" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-40" name = "__codelineno-26-40" href = "#__codelineno-26-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-26-41" name = "__codelineno-26-41" href = "#__codelineno-26-41" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-42" name = "__codelineno-26-42" href = "#__codelineno-26-42" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-26-43" name = "__codelineno-26-43" href = "#__codelineno-26-43" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "na" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-44" name = "__codelineno-26-44" href = "#__codelineno-26-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-45" name = "__codelineno-26-45" href = "#__codelineno-26-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-26-46" name = "__codelineno-26-46" href = "#__codelineno-26-46" > < / a > < span class = "w" > < / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-26-47" name = "__codelineno-26-47" href = "#__codelineno-26-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-26-48" name = "__codelineno-26-48" href = "#__codelineno-26-48" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "na" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-26-49" name = "__codelineno-26-49" href = "#__codelineno-26-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-26-50" name = "__codelineno-26-50" href = "#__codelineno-26-50" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.cs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-27-1" name = "__codelineno-27-1" href = "#__codelineno-27-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-27-2" name = "__codelineno-27-2" href = "#__codelineno-27-2" > < / a > < span class = "k" > void< / span > < span class = "w" > < / span > < span class = "nf" > Remove< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-27-3" name = "__codelineno-27-3" href = "#__codelineno-27-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-27-4" name = "__codelineno-27-4" href = "#__codelineno-27-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-27-5" name = "__codelineno-27-5" href = "#__codelineno-27-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-6" name = "__codelineno-27-6" href = "#__codelineno-27-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-7" name = "__codelineno-27-7" href = "#__codelineno-27-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-27-8" name = "__codelineno-27-8" href = "#__codelineno-27-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-9" name = "__codelineno-27-9" href = "#__codelineno-27-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-27-10" name = "__codelineno-27-10" href = "#__codelineno-27-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-27-11" name = "__codelineno-27-11" href = "#__codelineno-27-11" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-12" name = "__codelineno-27-12" href = "#__codelineno-27-12" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-13" name = "__codelineno-27-13" href = "#__codelineno-27-13" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-27-14" name = "__codelineno-27-14" href = "#__codelineno-27-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-27-15" name = "__codelineno-27-15" href = "#__codelineno-27-15" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-16" name = "__codelineno-27-16" href = "#__codelineno-27-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-27-17" name = "__codelineno-27-17" href = "#__codelineno-27-17" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-27-18" name = "__codelineno-27-18" href = "#__codelineno-27-18" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-19" name = "__codelineno-27-19" href = "#__codelineno-27-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-20" name = "__codelineno-27-20" href = "#__codelineno-27-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-27-21" name = "__codelineno-27-21" href = "#__codelineno-27-21" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span >
< a id = "__codelineno-27-22" name = "__codelineno-27-22" href = "#__codelineno-27-22" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-23" name = "__codelineno-27-23" href = "#__codelineno-27-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-27-24" name = "__codelineno-27-24" href = "#__codelineno-27-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-25" name = "__codelineno-27-25" href = "#__codelineno-27-25" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-27-26" name = "__codelineno-27-26" href = "#__codelineno-27-26" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ??< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-27-27" name = "__codelineno-27-27" href = "#__codelineno-27-27" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-27-28" name = "__codelineno-27-28" href = "#__codelineno-27-28" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-11-27 02:32:13 +08:00
< a id = "__codelineno-27-29" name = "__codelineno-27-29" href = "#__codelineno-27-29" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-27-30" name = "__codelineno-27-30" href = "#__codelineno-27-30" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-31" name = "__codelineno-27-31" href = "#__codelineno-27-31" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-27-32" name = "__codelineno-27-32" href = "#__codelineno-27-32" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-33" name = "__codelineno-27-33" href = "#__codelineno-27-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-34" name = "__codelineno-27-34" href = "#__codelineno-27-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-27-35" name = "__codelineno-27-35" href = "#__codelineno-27-35" > < / a > < span class = "w" > < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-36" name = "__codelineno-27-36" href = "#__codelineno-27-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-37" name = "__codelineno-27-37" href = "#__codelineno-27-37" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-38" name = "__codelineno-27-38" href = "#__codelineno-27-38" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-27-39" name = "__codelineno-27-39" href = "#__codelineno-27-39" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-40" name = "__codelineno-27-40" href = "#__codelineno-27-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-27-41" name = "__codelineno-27-41" href = "#__codelineno-27-41" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-42" name = "__codelineno-27-42" href = "#__codelineno-27-42" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "k" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-27-43" name = "__codelineno-27-43" href = "#__codelineno-27-43" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-44" name = "__codelineno-27-44" href = "#__codelineno-27-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-45" name = "__codelineno-27-45" href = "#__codelineno-27-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
2023-11-27 02:32:13 +08:00
< a id = "__codelineno-27-46" name = "__codelineno-27-46" href = "#__codelineno-27-46" > < / a > < span class = "w" > < / span > < span class = "n" > Remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "n" > Value< / span > < span class = "p" > );< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-27-47" name = "__codelineno-27-47" href = "#__codelineno-27-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-27-48" name = "__codelineno-27-48" href = "#__codelineno-27-48" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-27-49" name = "__codelineno-27-49" href = "#__codelineno-27-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-27-50" name = "__codelineno-27-50" href = "#__codelineno-27-50" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.go< / span > < pre > < span > < / span > < code > < a id = "__codelineno-28-1" name = "__codelineno-28-1" href = "#__codelineno-28-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-28-2" name = "__codelineno-28-2" href = "#__codelineno-28-2" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > bst< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > binarySearchTree< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-3" name = "__codelineno-28-3" href = "#__codelineno-28-3" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span >
< a id = "__codelineno-28-4" name = "__codelineno-28-4" href = "#__codelineno-28-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-28-5" name = "__codelineno-28-5" href = "#__codelineno-28-5" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-6" name = "__codelineno-28-6" href = "#__codelineno-28-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-28-7" name = "__codelineno-28-7" href = "#__codelineno-28-7" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-8" name = "__codelineno-28-8" href = "#__codelineno-28-8" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点之前的节点位置< / span >
< a id = "__codelineno-28-9" name = "__codelineno-28-9" href = "#__codelineno-28-9" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span >
< a id = "__codelineno-28-10" name = "__codelineno-28-10" href = "#__codelineno-28-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-28-11" name = "__codelineno-28-11" href = "#__codelineno-28-11" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-12" name = "__codelineno-28-12" href = "#__codelineno-28-12" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-13" name = "__codelineno-28-13" href = "#__codelineno-28-13" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span >
< a id = "__codelineno-28-14" name = "__codelineno-28-14" href = "#__codelineno-28-14" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-15" name = "__codelineno-28-15" href = "#__codelineno-28-15" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span >
< a id = "__codelineno-28-16" name = "__codelineno-28-16" href = "#__codelineno-28-16" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "p" > .(< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-17" name = "__codelineno-28-17" href = "#__codelineno-28-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在右子树中< / span >
< a id = "__codelineno-28-18" name = "__codelineno-28-18" href = "#__codelineno-28-18" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-28-19" name = "__codelineno-28-19" href = "#__codelineno-28-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-20" name = "__codelineno-28-20" href = "#__codelineno-28-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在左子树中< / span >
< a id = "__codelineno-28-21" name = "__codelineno-28-21" href = "#__codelineno-28-21" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-28-22" name = "__codelineno-28-22" href = "#__codelineno-28-22" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-23" name = "__codelineno-28-23" href = "#__codelineno-28-23" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-24" name = "__codelineno-28-24" href = "#__codelineno-28-24" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-28-25" name = "__codelineno-28-25" href = "#__codelineno-28-25" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-26" name = "__codelineno-28-26" href = "#__codelineno-28-26" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span >
< a id = "__codelineno-28-27" name = "__codelineno-28-27" href = "#__codelineno-28-27" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-28" name = "__codelineno-28-28" href = "#__codelineno-28-28" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数为 0 或 1< / span >
< a id = "__codelineno-28-29" name = "__codelineno-28-29" href = "#__codelineno-28-29" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-30" name = "__codelineno-28-30" href = "#__codelineno-28-30" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "nx" > TreeNode< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span >
< a id = "__codelineno-28-31" name = "__codelineno-28-31" href = "#__codelineno-28-31" > < / a > < span class = "w" > < / span > < span class = "c1" > // 取出待删除节点的子节点< / span >
< a id = "__codelineno-28-32" name = "__codelineno-28-32" href = "#__codelineno-28-32" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-33" name = "__codelineno-28-33" href = "#__codelineno-28-33" > < / a > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-28-34" name = "__codelineno-28-34" href = "#__codelineno-28-34" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-35" name = "__codelineno-28-35" href = "#__codelineno-28-35" > < / a > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-28-36" name = "__codelineno-28-36" href = "#__codelineno-28-36" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-37" name = "__codelineno-28-37" href = "#__codelineno-28-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-28-38" name = "__codelineno-28-38" href = "#__codelineno-28-38" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-39" name = "__codelineno-28-39" href = "#__codelineno-28-39" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-40" name = "__codelineno-28-40" href = "#__codelineno-28-40" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span >
< a id = "__codelineno-28-41" name = "__codelineno-28-41" href = "#__codelineno-28-41" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-42" name = "__codelineno-28-42" href = "#__codelineno-28-42" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span >
< a id = "__codelineno-28-43" name = "__codelineno-28-43" href = "#__codelineno-28-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-44" name = "__codelineno-28-44" href = "#__codelineno-28-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-45" name = "__codelineno-28-45" href = "#__codelineno-28-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-28-46" name = "__codelineno-28-46" href = "#__codelineno-28-46" > < / a > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span >
< a id = "__codelineno-28-47" name = "__codelineno-28-47" href = "#__codelineno-28-47" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-48" name = "__codelineno-28-48" href = "#__codelineno-28-48" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数为 2< / span >
< a id = "__codelineno-28-49" name = "__codelineno-28-49" href = "#__codelineno-28-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-50" name = "__codelineno-28-50" href = "#__codelineno-28-50" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中待删除节点 cur 的下一个节点< / span >
< a id = "__codelineno-28-51" name = "__codelineno-28-51" href = "#__codelineno-28-51" > < / a > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Right< / span >
< a id = "__codelineno-28-52" name = "__codelineno-28-52" href = "#__codelineno-28-52" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > nil< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-28-53" name = "__codelineno-28-53" href = "#__codelineno-28-53" > < / a > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > Left< / span >
< a id = "__codelineno-28-54" name = "__codelineno-28-54" href = "#__codelineno-28-54" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-55" name = "__codelineno-28-55" href = "#__codelineno-28-55" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-28-56" name = "__codelineno-28-56" href = "#__codelineno-28-56" > < / a > < span class = "w" > < / span > < span class = "nx" > bst< / span > < span class = "p" > .< / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "p" > .(< / span > < span class = "kt" > int< / span > < span class = "p" > ))< / span >
< a id = "__codelineno-28-57" name = "__codelineno-28-57" href = "#__codelineno-28-57" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-28-58" name = "__codelineno-28-58" href = "#__codelineno-28-58" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > Val< / span >
< a id = "__codelineno-28-59" name = "__codelineno-28-59" href = "#__codelineno-28-59" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-28-60" name = "__codelineno-28-60" href = "#__codelineno-28-60" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.swift< / span > < pre > < span > < / span > < code > < a id = "__codelineno-29-1" name = "__codelineno-29-1" href = "#__codelineno-29-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-29-2" name = "__codelineno-29-2" href = "#__codelineno-29-2" > < / a > < span class = "kd" > func< / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-3" name = "__codelineno-29-3" href = "#__codelineno-29-3" > < / a > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-29-4" name = "__codelineno-29-4" href = "#__codelineno-29-4" > < / a > < span class = "k" > if< / span > < span class = "n" > root< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-5" name = "__codelineno-29-5" href = "#__codelineno-29-5" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-29-6" name = "__codelineno-29-6" href = "#__codelineno-29-6" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-7" name = "__codelineno-29-7" href = "#__codelineno-29-7" > < / a > < span class = "kd" > var< / span > < span class = "nv" > cur< / span > < span class = "p" > =< / span > < span class = "n" > root< / span >
< a id = "__codelineno-29-8" name = "__codelineno-29-8" href = "#__codelineno-29-8" > < / a > < span class = "kd" > var< / span > < span class = "nv" > pre< / span > < span class = "p" > :< / span > < span class = "n" > TreeNode< / span > < span class = "p" > ?< / span >
< a id = "__codelineno-29-9" name = "__codelineno-29-9" href = "#__codelineno-29-9" > < / a > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-29-10" name = "__codelineno-29-10" href = "#__codelineno-29-10" > < / a > < span class = "k" > while< / span > < span class = "n" > cur< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-11" name = "__codelineno-29-11" href = "#__codelineno-29-11" > < / a > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-29-12" name = "__codelineno-29-12" href = "#__codelineno-29-12" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "p" > ==< / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-13" name = "__codelineno-29-13" href = "#__codelineno-29-13" > < / a > < span class = "k" > break< / span >
< a id = "__codelineno-29-14" name = "__codelineno-29-14" href = "#__codelineno-29-14" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-15" name = "__codelineno-29-15" href = "#__codelineno-29-15" > < / a > < span class = "n" > pre< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span >
< a id = "__codelineno-29-16" name = "__codelineno-29-16" href = "#__codelineno-29-16" > < / a > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-29-17" name = "__codelineno-29-17" href = "#__codelineno-29-17" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "o" > < < / span > < span class = "n" > num< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-18" name = "__codelineno-29-18" href = "#__codelineno-29-18" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-29-19" name = "__codelineno-29-19" href = "#__codelineno-29-19" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-20" name = "__codelineno-29-20" href = "#__codelineno-29-20" > < / a > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-29-21" name = "__codelineno-29-21" href = "#__codelineno-29-21" > < / a > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-22" name = "__codelineno-29-22" href = "#__codelineno-29-22" > < / a > < span class = "n" > cur< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span >
< a id = "__codelineno-29-23" name = "__codelineno-29-23" href = "#__codelineno-29-23" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-24" name = "__codelineno-29-24" href = "#__codelineno-29-24" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-25" name = "__codelineno-29-25" href = "#__codelineno-29-25" > < / a > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-29-26" name = "__codelineno-29-26" href = "#__codelineno-29-26" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-27" name = "__codelineno-29-27" href = "#__codelineno-29-27" > < / a > < span class = "k" > return< / span >
< a id = "__codelineno-29-28" name = "__codelineno-29-28" href = "#__codelineno-29-28" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-29" name = "__codelineno-29-29" href = "#__codelineno-29-29" > < / a > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-29-30" name = "__codelineno-29-30" href = "#__codelineno-29-30" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "o" > ||< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span > < span class = "p" > ==< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-31" name = "__codelineno-29-31" href = "#__codelineno-29-31" > < / a > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-29-32" name = "__codelineno-29-32" href = "#__codelineno-29-32" > < / a > < span class = "kd" > let< / span > < span class = "nv" > child< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > ?< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > :< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-29-33" name = "__codelineno-29-33" href = "#__codelineno-29-33" > < / a > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-29-34" name = "__codelineno-29-34" href = "#__codelineno-29-34" > < / a > < span class = "k" > if< / span > < span class = "n" > cur< / span > < span class = "o" > !==< / span > < span class = "n" > root< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-35" name = "__codelineno-29-35" href = "#__codelineno-29-35" > < / a > < span class = "k" > if< / span > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > ===< / span > < span class = "n" > cur< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-36" name = "__codelineno-29-36" href = "#__codelineno-29-36" > < / a > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "p" > =< / span > < span class = "n" > child< / span >
< a id = "__codelineno-29-37" name = "__codelineno-29-37" href = "#__codelineno-29-37" > < / a > < span class = "p" > }< / span > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-38" name = "__codelineno-29-38" href = "#__codelineno-29-38" > < / a > < span class = "n" > pre< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span > < span class = "p" > =< / span > < span class = "n" > child< / span >
< a id = "__codelineno-29-39" name = "__codelineno-29-39" href = "#__codelineno-29-39" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-40" name = "__codelineno-29-40" href = "#__codelineno-29-40" > < / a > < span class = "p" > }< / span > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-41" name = "__codelineno-29-41" href = "#__codelineno-29-41" > < / a > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-29-42" name = "__codelineno-29-42" href = "#__codelineno-29-42" > < / a > < span class = "n" > root< / span > < span class = "p" > =< / span > < span class = "n" > child< / span >
< a id = "__codelineno-29-43" name = "__codelineno-29-43" href = "#__codelineno-29-43" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-44" name = "__codelineno-29-44" href = "#__codelineno-29-44" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-45" name = "__codelineno-29-45" href = "#__codelineno-29-45" > < / a > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-29-46" name = "__codelineno-29-46" href = "#__codelineno-29-46" > < / a > < span class = "k" > else< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-47" name = "__codelineno-29-47" href = "#__codelineno-29-47" > < / a > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-29-48" name = "__codelineno-29-48" href = "#__codelineno-29-48" > < / a > < span class = "kd" > var< / span > < span class = "nv" > tmp< / span > < span class = "p" > =< / span > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "kr" > right< / span >
< a id = "__codelineno-29-49" name = "__codelineno-29-49" href = "#__codelineno-29-49" > < / a > < span class = "k" > while< / span > < span class = "n" > tmp< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span > < span class = "o" > !=< / span > < span class = "kc" > nil< / span > < span class = "p" > {< / span >
< a id = "__codelineno-29-50" name = "__codelineno-29-50" href = "#__codelineno-29-50" > < / a > < span class = "n" > tmp< / span > < span class = "p" > =< / span > < span class = "n" > tmp< / span > < span class = "p" > ?.< / span > < span class = "kr" > left< / span >
< a id = "__codelineno-29-51" name = "__codelineno-29-51" href = "#__codelineno-29-51" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-52" name = "__codelineno-29-52" href = "#__codelineno-29-52" > < / a > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-29-53" name = "__codelineno-29-53" href = "#__codelineno-29-53" > < / a > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "n" > tmp< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span > < span class = "p" > )< / span >
< a id = "__codelineno-29-54" name = "__codelineno-29-54" href = "#__codelineno-29-54" > < / a > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-29-55" name = "__codelineno-29-55" href = "#__codelineno-29-55" > < / a > < span class = "n" > cur< / span > < span class = "p" > ?.< / span > < span class = "n" > val< / span > < span class = "p" > =< / span > < span class = "n" > tmp< / span > < span class = "p" > !.< / span > < span class = "n" > val< / span >
< a id = "__codelineno-29-56" name = "__codelineno-29-56" href = "#__codelineno-29-56" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-29-57" name = "__codelineno-29-57" href = "#__codelineno-29-57" > < / a > < span class = "p" > }< / span >
2023-06-02 02:38:32 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.js< / span > < pre > < span > < / span > < code > < a id = "__codelineno-30-1" name = "__codelineno-30-1" href = "#__codelineno-30-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-30-2" name = "__codelineno-30-2" href = "#__codelineno-30-2" > < / a > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-3" name = "__codelineno-30-3" href = "#__codelineno-30-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-30-4" name = "__codelineno-30-4" href = "#__codelineno-30-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-5" name = "__codelineno-30-5" href = "#__codelineno-30-5" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-30-6" name = "__codelineno-30-6" href = "#__codelineno-30-6" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-7" name = "__codelineno-30-7" href = "#__codelineno-30-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-30-8" name = "__codelineno-30-8" href = "#__codelineno-30-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-9" name = "__codelineno-30-9" href = "#__codelineno-30-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-30-10" name = "__codelineno-30-10" href = "#__codelineno-30-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-11" name = "__codelineno-30-11" href = "#__codelineno-30-11" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-12" name = "__codelineno-30-12" href = "#__codelineno-30-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-30-13" name = "__codelineno-30-13" href = "#__codelineno-30-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-14" name = "__codelineno-30-14" href = "#__codelineno-30-14" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-30-15" name = "__codelineno-30-15" href = "#__codelineno-30-15" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-16" name = "__codelineno-30-16" href = "#__codelineno-30-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-30-17" name = "__codelineno-30-17" href = "#__codelineno-30-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-30-18" name = "__codelineno-30-18" href = "#__codelineno-30-18" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-19" name = "__codelineno-30-19" href = "#__codelineno-30-19" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-30-20" name = "__codelineno-30-20" href = "#__codelineno-30-20" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-21" name = "__codelineno-30-21" href = "#__codelineno-30-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-30-22" name = "__codelineno-30-22" href = "#__codelineno-30-22" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-23" name = "__codelineno-30-23" href = "#__codelineno-30-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-30-24" name = "__codelineno-30-24" href = "#__codelineno-30-24" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-25" name = "__codelineno-30-25" href = "#__codelineno-30-25" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-26" name = "__codelineno-30-26" href = "#__codelineno-30-26" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-27" name = "__codelineno-30-27" href = "#__codelineno-30-27" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-28" name = "__codelineno-30-28" href = "#__codelineno-30-28" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-30-29" name = "__codelineno-30-29" href = "#__codelineno-30-29" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-30" name = "__codelineno-30-30" href = "#__codelineno-30-30" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-30-31" name = "__codelineno-30-31" href = "#__codelineno-30-31" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-30-32" name = "__codelineno-30-32" href = "#__codelineno-30-32" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-30-33" name = "__codelineno-30-33" href = "#__codelineno-30-33" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-34" name = "__codelineno-30-34" href = "#__codelineno-30-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-30-35" name = "__codelineno-30-35" href = "#__codelineno-30-35" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-36" name = "__codelineno-30-36" href = "#__codelineno-30-36" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-30-37" name = "__codelineno-30-37" href = "#__codelineno-30-37" > < / a > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-38" name = "__codelineno-30-38" href = "#__codelineno-30-38" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-30-39" name = "__codelineno-30-39" href = "#__codelineno-30-39" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-30-40" name = "__codelineno-30-40" href = "#__codelineno-30-40" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-30-41" name = "__codelineno-30-41" href = "#__codelineno-30-41" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-30-42" name = "__codelineno-30-42" href = "#__codelineno-30-42" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-30-43" name = "__codelineno-30-43" href = "#__codelineno-30-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-30-44" name = "__codelineno-30-44" href = "#__codelineno-30-44" > < / a > < span class = "p" > }< / span >
2023-06-02 02:38:32 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.ts< / span > < pre > < span > < / span > < code > < a id = "__codelineno-31-1" name = "__codelineno-31-1" href = "#__codelineno-31-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-31-2" name = "__codelineno-31-2" href = "#__codelineno-31-2" > < / a > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > )< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "ow" > void< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-3" name = "__codelineno-31-3" href = "#__codelineno-31-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-31-4" name = "__codelineno-31-4" href = "#__codelineno-31-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-5" name = "__codelineno-31-5" href = "#__codelineno-31-5" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-31-6" name = "__codelineno-31-6" href = "#__codelineno-31-6" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-7" name = "__codelineno-31-7" href = "#__codelineno-31-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-31-8" name = "__codelineno-31-8" href = "#__codelineno-31-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-9" name = "__codelineno-31-9" href = "#__codelineno-31-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-31-10" name = "__codelineno-31-10" href = "#__codelineno-31-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-11" name = "__codelineno-31-11" href = "#__codelineno-31-11" > < / a > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-12" name = "__codelineno-31-12" href = "#__codelineno-31-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-31-13" name = "__codelineno-31-13" href = "#__codelineno-31-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-14" name = "__codelineno-31-14" href = "#__codelineno-31-14" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-31-15" name = "__codelineno-31-15" href = "#__codelineno-31-15" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-16" name = "__codelineno-31-16" href = "#__codelineno-31-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-31-17" name = "__codelineno-31-17" href = "#__codelineno-31-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-31-18" name = "__codelineno-31-18" href = "#__codelineno-31-18" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-19" name = "__codelineno-31-19" href = "#__codelineno-31-19" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-31-20" name = "__codelineno-31-20" href = "#__codelineno-31-20" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-21" name = "__codelineno-31-21" href = "#__codelineno-31-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-31-22" name = "__codelineno-31-22" href = "#__codelineno-31-22" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > =< / span >
< a id = "__codelineno-31-23" name = "__codelineno-31-23" href = "#__codelineno-31-23" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "nx" > cur.left< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > cur.right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-24" name = "__codelineno-31-24" href = "#__codelineno-31-24" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-31-25" name = "__codelineno-31-25" href = "#__codelineno-31-25" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > cur< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-26" name = "__codelineno-31-26" href = "#__codelineno-31-26" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > ===< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-27" name = "__codelineno-31-27" href = "#__codelineno-31-27" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "nx" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-28" name = "__codelineno-31-28" href = "#__codelineno-31-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-29" name = "__codelineno-31-29" href = "#__codelineno-31-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-31-30" name = "__codelineno-31-30" href = "#__codelineno-31-30" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-31" name = "__codelineno-31-31" href = "#__codelineno-31-31" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-31-32" name = "__codelineno-31-32" href = "#__codelineno-31-32" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-31-33" name = "__codelineno-31-33" href = "#__codelineno-31-33" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-31-34" name = "__codelineno-31-34" href = "#__codelineno-31-34" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-35" name = "__codelineno-31-35" href = "#__codelineno-31-35" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-31-36" name = "__codelineno-31-36" href = "#__codelineno-31-36" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-37" name = "__codelineno-31-37" href = "#__codelineno-31-37" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "w" > < / span > < span class = "o" > !==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-31-38" name = "__codelineno-31-38" href = "#__codelineno-31-38" > < / a > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-39" name = "__codelineno-31-39" href = "#__codelineno-31-39" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-31-40" name = "__codelineno-31-40" href = "#__codelineno-31-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-31-41" name = "__codelineno-31-41" href = "#__codelineno-31-41" > < / a > < span class = "w" > < / span > < span class = "k" > this< / span > < span class = "p" > .< / span > < span class = "nx" > remove< / span > < span class = "p" > (< / span > < span class = "nx" > tmp< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-31-42" name = "__codelineno-31-42" href = "#__codelineno-31-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-31-43" name = "__codelineno-31-43" href = "#__codelineno-31-43" > < / a > < span class = "w" > < / span > < span class = "nx" > cur< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > tmp< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "nx" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-31-44" name = "__codelineno-31-44" href = "#__codelineno-31-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-31-45" name = "__codelineno-31-45" href = "#__codelineno-31-45" > < / a > < span class = "p" > }< / span >
2023-07-26 10:57:52 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.dart< / span > < pre > < span > < / span > < code > < a id = "__codelineno-32-1" name = "__codelineno-32-1" href = "#__codelineno-32-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-32-2" name = "__codelineno-32-2" href = "#__codelineno-32-2" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-32-3" name = "__codelineno-32-3" href = "#__codelineno-32-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-32-4" name = "__codelineno-32-4" href = "#__codelineno-32-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > _root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-5" name = "__codelineno-32-5" href = "#__codelineno-32-5" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > _root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-6" name = "__codelineno-32-6" href = "#__codelineno-32-6" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-7" name = "__codelineno-32-7" href = "#__codelineno-32-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-32-8" name = "__codelineno-32-8" href = "#__codelineno-32-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-32-9" name = "__codelineno-32-9" href = "#__codelineno-32-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-32-10" name = "__codelineno-32-10" href = "#__codelineno-32-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-32-11" name = "__codelineno-32-11" href = "#__codelineno-32-11" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-12" name = "__codelineno-32-12" href = "#__codelineno-32-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-32-13" name = "__codelineno-32-13" href = "#__codelineno-32-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "p" > )< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-32-14" name = "__codelineno-32-14" href = "#__codelineno-32-14" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-15" name = "__codelineno-32-15" href = "#__codelineno-32-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-32-16" name = "__codelineno-32-16" href = "#__codelineno-32-16" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-32-17" name = "__codelineno-32-17" href = "#__codelineno-32-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-18" name = "__codelineno-32-18" href = "#__codelineno-32-18" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-32-19" name = "__codelineno-32-19" href = "#__codelineno-32-19" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，直接返回< / span >
< a id = "__codelineno-32-20" name = "__codelineno-32-20" href = "#__codelineno-32-20" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-21" name = "__codelineno-32-21" href = "#__codelineno-32-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-32-22" name = "__codelineno-32-22" href = "#__codelineno-32-22" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-32-23" name = "__codelineno-32-23" href = "#__codelineno-32-23" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-32-24" name = "__codelineno-32-24" href = "#__codelineno-32-24" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ??< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-25" name = "__codelineno-32-25" href = "#__codelineno-32-25" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-32-26" name = "__codelineno-32-26" href = "#__codelineno-32-26" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "n" > _root< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-32-27" name = "__codelineno-32-27" href = "#__codelineno-32-27" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span >
< a id = "__codelineno-32-28" name = "__codelineno-32-28" href = "#__codelineno-32-28" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-29" name = "__codelineno-32-29" href = "#__codelineno-32-29" > < / a > < span class = "w" > < / span > < span class = "k" > else< / span >
< a id = "__codelineno-32-30" name = "__codelineno-32-30" href = "#__codelineno-32-30" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-31" name = "__codelineno-32-31" href = "#__codelineno-32-31" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-32-32" name = "__codelineno-32-32" href = "#__codelineno-32-32" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-32-33" name = "__codelineno-32-33" href = "#__codelineno-32-33" > < / a > < span class = "w" > < / span > < span class = "n" > _root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-34" name = "__codelineno-32-34" href = "#__codelineno-32-34" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-32-35" name = "__codelineno-32-35" href = "#__codelineno-32-35" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-32-36" name = "__codelineno-32-36" href = "#__codelineno-32-36" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-32-37" name = "__codelineno-32-37" href = "#__codelineno-32-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-32-38" name = "__codelineno-32-38" href = "#__codelineno-32-38" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-39" name = "__codelineno-32-39" href = "#__codelineno-32-39" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "o" > !< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-32-40" name = "__codelineno-32-40" href = "#__codelineno-32-40" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-41" name = "__codelineno-32-41" href = "#__codelineno-32-41" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-32-42" name = "__codelineno-32-42" href = "#__codelineno-32-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-32-43" name = "__codelineno-32-43" href = "#__codelineno-32-43" > < / a > < span class = "w" > < / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-32-44" name = "__codelineno-32-44" href = "#__codelineno-32-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-32-45" name = "__codelineno-32-45" href = "#__codelineno-32-45" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-32-46" name = "__codelineno-32-46" href = "#__codelineno-32-46" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-32-47" name = "__codelineno-32-47" href = "#__codelineno-32-47" > < / a > < span class = "p" > }< / span >
2023-07-26 10:57:52 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.rs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-33-1" name = "__codelineno-33-1" href = "#__codelineno-33-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-33-2" name = "__codelineno-33-2" href = "#__codelineno-33-2" > < / a > < span class = "k" > pub< / span > < span class = "w" > < / span > < span class = "k" > fn< / span > < span class = "nf" > remove< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > num< / span > : < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-3" name = "__codelineno-33-3" href = "#__codelineno-33-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-33-4" name = "__codelineno-33-4" href = "#__codelineno-33-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > .< / span > < span class = "n" > is_none< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span > < span class = "w" > < / span >
< a id = "__codelineno-33-5" name = "__codelineno-33-5" href = "#__codelineno-33-5" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span > < span class = "w" > < / span >
< a id = "__codelineno-33-6" name = "__codelineno-33-6" href = "#__codelineno-33-6" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-7" name = "__codelineno-33-7" href = "#__codelineno-33-7" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-8" name = "__codelineno-33-8" href = "#__codelineno-33-8" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > None< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-33-9" name = "__codelineno-33-9" href = "#__codelineno-33-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-33-10" name = "__codelineno-33-10" href = "#__codelineno-33-10" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > node< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-25 02:38:25 +08:00
< a id = "__codelineno-33-11" name = "__codelineno-33-11" href = "#__codelineno-33-11" > < / a > < span class = "w" > < / span > < span class = "k" > match< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > .< / span > < span class = "n" > cmp< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > val< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-12" name = "__codelineno-33-12" href = "#__codelineno-33-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-33-13" name = "__codelineno-33-13" href = "#__codelineno-33-13" > < / a > < span class = "w" > < / span > < span class = "n" > Ordering< / span > ::< span class = "n" > Equal< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ,< / span >
< a id = "__codelineno-33-14" name = "__codelineno-33-14" href = "#__codelineno-33-14" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-33-15" name = "__codelineno-33-15" href = "#__codelineno-33-15" > < / a > < span class = "w" > < / span > < span class = "n" > Ordering< / span > ::< span class = "n" > Greater< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-16" name = "__codelineno-33-16" href = "#__codelineno-33-16" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-17" name = "__codelineno-33-17" href = "#__codelineno-33-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > right< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-18" name = "__codelineno-33-18" href = "#__codelineno-33-18" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-19" name = "__codelineno-33-19" href = "#__codelineno-33-19" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-33-20" name = "__codelineno-33-20" href = "#__codelineno-33-20" > < / a > < span class = "w" > < / span > < span class = "n" > Ordering< / span > ::< span class = "n" > Less< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-21" name = "__codelineno-33-21" href = "#__codelineno-33-21" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-22" name = "__codelineno-33-22" href = "#__codelineno-33-22" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > left< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-23" name = "__codelineno-33-23" href = "#__codelineno-33-23" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-24" name = "__codelineno-33-24" href = "#__codelineno-33-24" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-25" name = "__codelineno-33-25" href = "#__codelineno-33-25" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-26" name = "__codelineno-33-26" href = "#__codelineno-33-26" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-33-27" name = "__codelineno-33-27" href = "#__codelineno-33-27" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > is_none< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-28" name = "__codelineno-33-28" href = "#__codelineno-33-28" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-33-29" name = "__codelineno-33-29" href = "#__codelineno-33-29" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-30" name = "__codelineno-33-30" href = "#__codelineno-33-30" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > unwrap< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-31" name = "__codelineno-33-31" href = "#__codelineno-33-31" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > left_child< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > right_child< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > left< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > (),< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > right< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ());< / span >
< a id = "__codelineno-33-32" name = "__codelineno-33-32" href = "#__codelineno-33-32" > < / a > < span class = "w" > < / span > < span class = "k" > match< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > left_child< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > (),< / span > < span class = "w" > < / span > < span class = "n" > right_child< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ())< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-33" name = "__codelineno-33-33" href = "#__codelineno-33-33" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-33-34" name = "__codelineno-33-34" href = "#__codelineno-33-34" > < / a > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nb" > None< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nb" > None< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > _< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > None< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nb" > None< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > _< / span > < span class = "p" > ))< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-35" name = "__codelineno-33-35" href = "#__codelineno-33-35" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = nullptr / 该子节点< / span >
< a id = "__codelineno-33-36" name = "__codelineno-33-36" href = "#__codelineno-33-36" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > left_child< / span > < span class = "p" > .< / span > < span class = "n" > or< / span > < span class = "p" > (< / span > < span class = "n" > right_child< / span > < span class = "p" > );< / span >
< a id = "__codelineno-33-37" name = "__codelineno-33-37" href = "#__codelineno-33-37" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > unwrap< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-38" name = "__codelineno-33-38" href = "#__codelineno-33-38" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-33-39" name = "__codelineno-33-39" href = "#__codelineno-33-39" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "o" > !< / span > < span class = "n" > Rc< / span > ::< span class = "n" > ptr_eq< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "n" > cur< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > .< / span > < span class = "n" > as_ref< / span > < span class = "p" > ().< / span > < span class = "n" > unwrap< / span > < span class = "p" > ())< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-40" name = "__codelineno-33-40" href = "#__codelineno-33-40" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > left< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-41" name = "__codelineno-33-41" href = "#__codelineno-33-41" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "n" > left< / span > < span class = "p" > .< / span > < span class = "n" > is_some< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "o" > & & < / span > < span class = "w" > < / span > < span class = "n" > Rc< / span > ::< span class = "n" > ptr_eq< / span > < span class = "p" > (< / span > < span class = "o" > & < / span > < span class = "n" > left< / span > < span class = "p" > .< / span > < span class = "n" > as_ref< / span > < span class = "p" > ().< / span > < span class = "n" > unwrap< / span > < span class = "p" > (),< / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-42" name = "__codelineno-33-42" href = "#__codelineno-33-42" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > borrow_mut< / span > < span class = "p" > ().< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-33-43" name = "__codelineno-33-43" href = "#__codelineno-33-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-44" name = "__codelineno-33-44" href = "#__codelineno-33-44" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "n" > borrow_mut< / span > < span class = "p" > ().< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-33-45" name = "__codelineno-33-45" href = "#__codelineno-33-45" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-46" name = "__codelineno-33-46" href = "#__codelineno-33-46" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-47" name = "__codelineno-33-47" href = "#__codelineno-33-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若删除节点为根节点，则重新指定根节点< / span >
< a id = "__codelineno-33-48" name = "__codelineno-33-48" href = "#__codelineno-33-48" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-33-49" name = "__codelineno-33-49" href = "#__codelineno-33-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-50" name = "__codelineno-33-50" href = "#__codelineno-33-50" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-51" name = "__codelineno-33-51" href = "#__codelineno-33-51" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-33-52" name = "__codelineno-33-52" href = "#__codelineno-33-52" > < / a > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > _< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > _< / span > < span class = "p" > ))< / span > < span class = "w" > < / span > < span class = "o" > => < / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-53" name = "__codelineno-33-53" href = "#__codelineno-33-53" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-33-54" name = "__codelineno-33-54" href = "#__codelineno-33-54" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "k" > mut< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > right< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-55" name = "__codelineno-33-55" href = "#__codelineno-33-55" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nb" > Some< / span > < span class = "p" > (< / span > < span class = "n" > node< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-56" name = "__codelineno-33-56" href = "#__codelineno-33-56" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > left< / span > < span class = "p" > .< / span > < span class = "n" > is_some< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-57" name = "__codelineno-33-57" href = "#__codelineno-33-57" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > node< / span > < span class = "p" > .< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > left< / span > < span class = "p" > .< / span > < span class = "n" > clone< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-33-58" name = "__codelineno-33-58" href = "#__codelineno-33-58" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-33-59" name = "__codelineno-33-59" href = "#__codelineno-33-59" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-33-60" name = "__codelineno-33-60" href = "#__codelineno-33-60" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-61" name = "__codelineno-33-61" href = "#__codelineno-33-61" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-62" name = "__codelineno-33-62" href = "#__codelineno-33-62" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > tmpval< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "n" > unwrap< / span > < span class = "p" > ().< / span > < span class = "n" > borrow< / span > < span class = "p" > ().< / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-33-63" name = "__codelineno-33-63" href = "#__codelineno-33-63" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-33-64" name = "__codelineno-33-64" href = "#__codelineno-33-64" > < / a > < span class = "w" > < / span > < span class = "bp" > self< / span > < span class = "p" > .< / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmpval< / span > < span class = "p" > );< / span >
< a id = "__codelineno-33-65" name = "__codelineno-33-65" href = "#__codelineno-33-65" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-33-66" name = "__codelineno-33-66" href = "#__codelineno-33-66" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "n" > borrow_mut< / span > < span class = "p" > ().< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmpval< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-33-67" name = "__codelineno-33-67" href = "#__codelineno-33-67" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-68" name = "__codelineno-33-68" href = "#__codelineno-33-68" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-33-69" name = "__codelineno-33-69" href = "#__codelineno-33-69" > < / a > < span class = "p" > }< / span >
2023-07-26 10:57:52 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.c< / span > < pre > < span > < / span > < code > < a id = "__codelineno-34-1" name = "__codelineno-34-1" href = "#__codelineno-34-1" > < / a > < span class = "cm" > /* 删除节点 */< / span >
< a id = "__codelineno-34-2" name = "__codelineno-34-2" href = "#__codelineno-34-2" > < / a > < span class = "c1" > // 由于引入了 stdio.h ，此处无法使用 remove 关键词< / span >
2023-10-18 02:17:09 +08:00
< a id = "__codelineno-34-3" name = "__codelineno-34-3" href = "#__codelineno-34-3" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > removeItem< / span > < span class = "p" > (< / span > < span class = "n" > BinarySearchTree< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > bst< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-34-4" name = "__codelineno-34-4" href = "#__codelineno-34-4" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-34-5" name = "__codelineno-34-5" href = "#__codelineno-34-5" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span >
< a id = "__codelineno-34-6" name = "__codelineno-34-6" href = "#__codelineno-34-6" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-7" name = "__codelineno-34-7" href = "#__codelineno-34-7" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > bst< / span > < span class = "o" > -> < / span > < span class = "n" > root< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-8" name = "__codelineno-34-8" href = "#__codelineno-34-8" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-34-9" name = "__codelineno-34-9" href = "#__codelineno-34-9" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-34-10" name = "__codelineno-34-10" href = "#__codelineno-34-10" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-34-11" name = "__codelineno-34-11" href = "#__codelineno-34-11" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span >
< a id = "__codelineno-34-12" name = "__codelineno-34-12" href = "#__codelineno-34-12" > < / a > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-13" name = "__codelineno-34-13" href = "#__codelineno-34-13" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-14" name = "__codelineno-34-14" href = "#__codelineno-34-14" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-34-15" name = "__codelineno-34-15" href = "#__codelineno-34-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 root 的右子树中< / span >
< a id = "__codelineno-34-16" name = "__codelineno-34-16" href = "#__codelineno-34-16" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-17" name = "__codelineno-34-17" href = "#__codelineno-34-17" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-34-18" name = "__codelineno-34-18" href = "#__codelineno-34-18" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 root 的左子树中< / span >
< a id = "__codelineno-34-19" name = "__codelineno-34-19" href = "#__codelineno-34-19" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-20" name = "__codelineno-34-20" href = "#__codelineno-34-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-34-21" name = "__codelineno-34-21" href = "#__codelineno-34-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-34-22" name = "__codelineno-34-22" href = "#__codelineno-34-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-34-23" name = "__codelineno-34-23" href = "#__codelineno-34-23" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span >
< a id = "__codelineno-34-24" name = "__codelineno-34-24" href = "#__codelineno-34-24" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-25" name = "__codelineno-34-25" href = "#__codelineno-34-25" > < / a > < span class = "w" > < / span > < span class = "c1" > // 判断待删除节点是否存在子节点< / span >
< a id = "__codelineno-34-26" name = "__codelineno-34-26" href = "#__codelineno-34-26" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "w" > < / span > < span class = "o" > ||< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-34-27" name = "__codelineno-34-27" href = "#__codelineno-34-27" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 子节点数量 = 0 or 1 */< / span >
< a id = "__codelineno-34-28" name = "__codelineno-34-28" href = "#__codelineno-34-28" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = nullptr / 该子节点< / span >
< a id = "__codelineno-34-29" name = "__codelineno-34-29" href = "#__codelineno-34-29" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "w" > < / span > < span class = "o" > ?< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-30" name = "__codelineno-34-30" href = "#__codelineno-34-30" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-34-31" name = "__codelineno-34-31" href = "#__codelineno-34-31" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-34-32" name = "__codelineno-34-32" href = "#__codelineno-34-32" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-33" name = "__codelineno-34-33" href = "#__codelineno-34-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-34-34" name = "__codelineno-34-34" href = "#__codelineno-34-34" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-35" name = "__codelineno-34-35" href = "#__codelineno-34-35" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
2024-01-03 17:56:15 +08:00
< a id = "__codelineno-34-36" name = "__codelineno-34-36" href = "#__codelineno-34-36" > < / a > < span class = "w" > < / span > < span class = "c1" > // 释放内存< / span >
< a id = "__codelineno-34-37" name = "__codelineno-34-37" href = "#__codelineno-34-37" > < / a > < span class = "w" > < / span > < span class = "n" > free< / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > );< / span >
< a id = "__codelineno-34-38" name = "__codelineno-34-38" href = "#__codelineno-34-38" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-34-39" name = "__codelineno-34-39" href = "#__codelineno-34-39" > < / a > < span class = "w" > < / span > < span class = "cm" > /* 子节点数量 = 2 */< / span >
< a id = "__codelineno-34-40" name = "__codelineno-34-40" href = "#__codelineno-34-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-34-41" name = "__codelineno-34-41" href = "#__codelineno-34-41" > < / a > < span class = "w" > < / span > < span class = "n" > TreeNode< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-42" name = "__codelineno-34-42" href = "#__codelineno-34-42" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "nb" > NULL< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-34-43" name = "__codelineno-34-43" href = "#__codelineno-34-43" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-44" name = "__codelineno-34-44" href = "#__codelineno-34-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-34-45" name = "__codelineno-34-45" href = "#__codelineno-34-45" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > tmpVal< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-46" name = "__codelineno-34-46" href = "#__codelineno-34-46" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-34-47" name = "__codelineno-34-47" href = "#__codelineno-34-47" > < / a > < span class = "w" > < / span > < span class = "n" > removeItem< / span > < span class = "p" > (< / span > < span class = "n" > bst< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-34-48" name = "__codelineno-34-48" href = "#__codelineno-34-48" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-34-49" name = "__codelineno-34-49" href = "#__codelineno-34-49" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "o" > -> < / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmpVal< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-34-50" name = "__codelineno-34-50" href = "#__codelineno-34-50" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-34-51" name = "__codelineno-34-51" href = "#__codelineno-34-51" > < / a > < span class = "p" > }< / span >
2023-08-17 05:12:16 +08:00
< / code > < / pre > < / div >
2023-08-30 15:04:41 +08:00
< / div >
2023-06-02 02:38:32 +08:00
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > binary_search_tree.zig< / span > < pre > < span > < / span > < code > < a id = "__codelineno-35-1" name = "__codelineno-35-1" href = "#__codelineno-35-1" > < / a > < span class = "c1" > // 删除节点< / span >
< a id = "__codelineno-35-2" name = "__codelineno-35-2" href = "#__codelineno-35-2" > < / a > < span class = "k" > fn< / span > < span class = "w" > < / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > Self< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-35-3" name = "__codelineno-35-3" href = "#__codelineno-35-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若树为空，直接提前返回< / span >
< a id = "__codelineno-35-4" name = "__codelineno-35-4" href = "#__codelineno-35-4" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-5" name = "__codelineno-35-5" href = "#__codelineno-35-5" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > root< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-6" name = "__codelineno-35-6" href = "#__codelineno-35-6" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "o" > ?*< / span > < span class = "n" > inc< / span > < span class = "p" > .< / span > < span class = "n" > TreeNode< / span > < span class = "p" > (< / span > < span class = "n" > T< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-7" name = "__codelineno-35-7" href = "#__codelineno-35-7" > < / a > < span class = "w" > < / span > < span class = "c1" > // 循环查找，越过叶节点后跳出< / span >
< a id = "__codelineno-35-8" name = "__codelineno-35-8" href = "#__codelineno-35-8" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-35-9" name = "__codelineno-35-9" href = "#__codelineno-35-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 找到待删除节点，跳出循环< / span >
< a id = "__codelineno-35-10" name = "__codelineno-35-10" href = "#__codelineno-35-10" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-11" name = "__codelineno-35-11" href = "#__codelineno-35-11" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-12" name = "__codelineno-35-12" href = "#__codelineno-35-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的右子树中< / span >
< a id = "__codelineno-35-13" name = "__codelineno-35-13" href = "#__codelineno-35-13" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-35-14" name = "__codelineno-35-14" href = "#__codelineno-35-14" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-15" name = "__codelineno-35-15" href = "#__codelineno-35-15" > < / a > < span class = "w" > < / span > < span class = "c1" > // 待删除节点在 cur 的左子树中< / span >
< a id = "__codelineno-35-16" name = "__codelineno-35-16" href = "#__codelineno-35-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-35-17" name = "__codelineno-35-17" href = "#__codelineno-35-17" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-18" name = "__codelineno-35-18" href = "#__codelineno-35-18" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-35-19" name = "__codelineno-35-19" href = "#__codelineno-35-19" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-35-20" name = "__codelineno-35-20" href = "#__codelineno-35-20" > < / a > < span class = "w" > < / span > < span class = "c1" > // 若无待删除节点，则直接返回< / span >
< a id = "__codelineno-35-21" name = "__codelineno-35-21" href = "#__codelineno-35-21" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-22" name = "__codelineno-35-22" href = "#__codelineno-35-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 0 or 1< / span >
< a id = "__codelineno-35-23" name = "__codelineno-35-23" href = "#__codelineno-35-23" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "w" > < / span > < span class = "k" > or< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-35-24" name = "__codelineno-35-24" href = "#__codelineno-35-24" > < / a > < span class = "w" > < / span > < span class = "c1" > // 当子节点数量 = 0 / 1 时， child = null / 该子节点< / span >
< a id = "__codelineno-35-25" name = "__codelineno-35-25" href = "#__codelineno-35-25" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-26" name = "__codelineno-35-26" href = "#__codelineno-35-26" > < / a > < span class = "w" > < / span > < span class = "c1" > // 删除节点 cur< / span >
< a id = "__codelineno-35-27" name = "__codelineno-35-27" href = "#__codelineno-35-27" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-35-28" name = "__codelineno-35-28" href = "#__codelineno-35-28" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-29" name = "__codelineno-35-29" href = "#__codelineno-35-29" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-35-30" name = "__codelineno-35-30" href = "#__codelineno-35-30" > < / a > < span class = "w" > < / span > < span class = "n" > pre< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > child< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-31" name = "__codelineno-35-31" href = "#__codelineno-35-31" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-35-32" name = "__codelineno-35-32" href = "#__codelineno-35-32" > < / a > < span class = "w" > < / span > < span class = "c1" > // 子节点数量 = 2< / span >
< a id = "__codelineno-35-33" name = "__codelineno-35-33" href = "#__codelineno-35-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span > < span class = "w" > < / span > < span class = "k" > else< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-35-34" name = "__codelineno-35-34" href = "#__codelineno-35-34" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取中序遍历中 cur 的下一个节点< / span >
< a id = "__codelineno-35-35" name = "__codelineno-35-35" href = "#__codelineno-35-35" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > right< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-36" name = "__codelineno-35-36" href = "#__codelineno-35-36" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "w" > < / span > < span class = "o" > !=< / span > < span class = "w" > < / span > < span class = "kc" > null< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-35-37" name = "__codelineno-35-37" href = "#__codelineno-35-37" > < / a > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > left< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-38" name = "__codelineno-35-38" href = "#__codelineno-35-38" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-35-39" name = "__codelineno-35-39" href = "#__codelineno-35-39" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > tmp_val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-40" name = "__codelineno-35-40" href = "#__codelineno-35-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 递归删除节点 tmp< / span >
< a id = "__codelineno-35-41" name = "__codelineno-35-41" href = "#__codelineno-35-41" > < / a > < span class = "w" > < / span > < span class = "n" > self< / span > < span class = "p" > .< / span > < span class = "n" > remove< / span > < span class = "p" > (< / span > < span class = "n" > tmp< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "p" > );< / span >
< a id = "__codelineno-35-42" name = "__codelineno-35-42" href = "#__codelineno-35-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // 用 tmp 覆盖 cur< / span >
< a id = "__codelineno-35-43" name = "__codelineno-35-43" href = "#__codelineno-35-43" > < / a > < span class = "w" > < / span > < span class = "n" > cur< / span > < span class = "p" > .< / span > < span class = "o" > ?< / span > < span class = "p" > .< / span > < span class = "n" > val< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > tmp_val< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-35-44" name = "__codelineno-35-44" href = "#__codelineno-35-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-35-45" name = "__codelineno-35-45" href = "#__codelineno-35-45" > < / a > < span class = "p" > }< / span >
2023-02-08 14:54:41 +08:00
< / code > < / pre > < / div >
< / div >
< / div >
< / div >
2023-08-27 23:41:10 +08:00
< h3 id = "4" > 4. 中序遍历有序< a class = "headerlink" href = "#4" title = "Permanent link" > ¶ < / a > < / h3 >
2023-08-22 13:50:24 +08:00
< p > 如图 7-22 所示，二叉树的中序遍历遵循“左 < span class = "arithmatex" > \(\rightarrow\)< / span > 根 < span class = "arithmatex" > \(\rightarrow\)< / span > 右”的遍历顺序，而二叉搜索树满足“左子节点 < span class = "arithmatex" > \(< \)< / span > 根节点 < span class = "arithmatex" > \(< \)< / span > 右子节点”的大小关系。< / p >
2023-08-21 19:32:49 +08:00
< p > 这意味着在二叉搜索树中进行中序遍历时，总是会优先遍历下一个最小节点，从而得出一个重要性质：< strong > 二叉搜索树的中序遍历序列是升序的< / strong > 。< / p >
2023-08-27 23:41:10 +08:00
< p > 利用中序遍历升序的性质，我们在二叉搜索树中获取有序数据仅需 < span class = "arithmatex" > \(O(n)\)< / span > 时间，无须进行额外的排序操作，非常高效。< / p >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_inorder_traversal.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "二叉搜索树的中序遍历序列" class = "animation-figure" src = "../binary_search_tree.assets/bst_inorder_traversal.png" / > < / a > < / p >
2023-08-22 13:50:24 +08:00
< p align = "center" > 图 7-22 二叉搜索树的中序遍历序列 < / p >
2023-02-26 19:53:32 +08:00
2023-08-19 22:07:40 +08:00
< h2 id = "742" > 7.4.2 二叉搜索树的效率< a class = "headerlink" href = "#742" title = "Permanent link" > ¶ < / a > < / h2 >
2023-12-02 06:24:11 +08:00
< p > 给定一组数据，我们考虑使用数组或二叉搜索树存储。观察表 7-2 ，二叉搜索树的各项操作的时间复杂度都是对数阶，具有稳定且高效的性能。只有在高频添加、低频查找删除数据的场景下，数组比二叉搜索树的效率更高。< / p >
2023-08-22 13:50:24 +08:00
< p align = "center" > 表 7-2 数组与搜索树的效率对比 < / p >
2023-08-19 19:21:30 +08:00
2023-02-08 14:54:41 +08:00
< div class = "center-table" >
< table >
< thead >
< tr >
< th > < / th >
< th > 无序数组< / th >
< th > 二叉搜索树< / th >
< / tr >
< / thead >
< tbody >
< tr >
2023-04-17 18:24:27 +08:00
< td > 查找元素< / td >
2023-02-08 14:54:41 +08:00
< td > < span class = "arithmatex" > \(O(n)\)< / span > < / td >
< td > < span class = "arithmatex" > \(O(\log n)\)< / span > < / td >
< / tr >
< tr >
< td > 插入元素< / td >
< td > < span class = "arithmatex" > \(O(1)\)< / span > < / td >
< td > < span class = "arithmatex" > \(O(\log n)\)< / span > < / td >
< / tr >
< tr >
< td > 删除元素< / td >
< td > < span class = "arithmatex" > \(O(n)\)< / span > < / td >
< td > < span class = "arithmatex" > \(O(\log n)\)< / span > < / td >
< / tr >
< / tbody >
< / table >
< / div >
2023-04-17 18:24:27 +08:00
< p > 在理想情况下，二叉搜索树是“平衡”的，这样就可以在 < span class = "arithmatex" > \(\log n\)< / span > 轮循环内查找任意节点。< / p >
2023-08-22 13:50:24 +08:00
< p > 然而，如果我们在二叉搜索树中不断地插入和删除节点，可能导致二叉树退化为图 7-23 所示的链表，这时各种操作的时间复杂度也会退化为 < span class = "arithmatex" > \(O(n)\)< / span > 。< / p >
2023-12-02 06:24:11 +08:00
< p > < a class = "glightbox" href = "../binary_search_tree.assets/bst_degradation.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "二叉搜索树退化" class = "animation-figure" src = "../binary_search_tree.assets/bst_degradation.png" / > < / a > < / p >
< p align = "center" > 图 7-23 二叉搜索树退化 < / p >
2023-02-26 19:53:32 +08:00
2023-08-19 22:07:40 +08:00
< h2 id = "743" > 7.4.3 二叉搜索树常见应用< a class = "headerlink" href = "#743" title = "Permanent link" > ¶ < / a > < / h2 >
2023-02-08 14:54:41 +08:00
< ul >
2023-04-10 23:59:39 +08:00
< li > 用作系统中的多级索引，实现高效的查找、插入、删除操作。< / li >
< li > 作为某些搜索算法的底层数据结构。< / li >
< li > 用于存储数据流，以保持其有序状态。< / li >
2023-02-08 14:54:41 +08:00
< / ul >
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
href="../array_representation_of_tree/"
class="md-footer__link md-footer__link--prev"
aria-label="上一页: 7.3 & nbsp; 二叉树数组表示"
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" >
7.3 二叉树数组表示
< / div >
< / div >
< / a >
<!-- Link to next page -->
< a
href="../avl_tree/"
class="md-footer__link md-footer__link--next"
aria-label="下一页: 7.5 & nbsp; AVL 树 *"
rel="next"
>
< div class = "md-footer__title" >
< span class = "md-footer__direction" >
下一页
< / span >
< div class = "md-ellipsis" >
7.5 AVL 树 *
< / 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
2023-09-22 13:41:28 +08:00
< h5 align = "center" id = "__comments" > 欢迎在评论区留下你的见解、疑惑或建议< / 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 = "../array_representation_of_tree/" class = "md-footer__link md-footer__link--prev" aria-label = "上一页: 7.3 &nbsp; 二叉树数组表示" >
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" >
7.3 二叉树数组表示
< / div >
< / div >
< / a >
2023-12-07 20:12:31 +08:00
< a href = "../avl_tree/" class = "md-footer__link md-footer__link--next" aria-label = "下一页: 7.5 &nbsp; AVL 树 *" >
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" >
7.5 AVL 树 *
< / 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" >
2023-09-22 13:08:10 +08:00
Copyright © 2022 - 2023 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 >
