2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2024-02-07 21:39:15 +08:00
< meta name = "author" content = "krahets" >
2023-03-26 22:05:43 +08:00
< link rel = "canonical" href = "https://www.hello-algo.com/chapter_sorting/radix_sort/" >
< link rel = "prev" href = "../counting_sort/" >
< link rel = "next" href = "../summary/" >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
< link rel = "icon" href = "../../assets/images/favicon.png" >
2024-01-25 21:09:11 +08:00
< meta name = "generator" content = "mkdocs-1.5.3, mkdocs-material-9.5.5" >
2023-03-26 22:05:43 +08:00
2023-08-19 22:07:40 +08:00
< title > 11.10 < / title >
2023-03-26 22:05:43 +08:00
2023-12-14 02:56:10 +08:00
< link rel = "stylesheet" href = "../../assets/stylesheets/main.50c56a3b.min.css" >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
< link rel = "stylesheet" href = "../../assets/stylesheets/palette.06af60db.min.css" >
2023-03-26 22:05:43 +08:00
2023-09-24 17:12:06 +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
< 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 >
2023-03-26 22:05:43 +08:00
2024-02-08 03:34:53 +08:00
< body dir = "ltr" data-md-color-scheme = "default" data-md-color-primary = "white" data-md-color-accent = "teal" >
2023-03-26 22:05:43 +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" >
2023-05-26 04:48:01 +08:00
< a href = "#1110" class = "md-skip" >
2023-03-26 22:05:43 +08:00
跳转至
< / a >
< / div >
< div data-md-component = "announce" >
2024-02-23 17:03:55 +08:00
< aside class = "md-banner" >
< div class = "md-banner__inner md-grid md-typeset" >
< button class = "md-banner__button md-icon" aria-label = "不再显示此消息" >
< 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 >
2024-02-23 17:59:37 +08:00
< div class = "banner-svg" >
< 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 Copyright 2024 Fonticons, Inc. -->
< path
d="M480 32c0-12.9-7.8-24.6-19.8-29.6s-25.7-2.2-34.9 6.9L381.7 53c-48 48-113.1 75-181 75H192 160 64c-35.3 0-64 28.7-64 64v96c0 35.3 28.7 64 64 64l0 128c0 17.7 14.3 32 32 32h64c17.7 0 32-14.3 32-32V352l8.7 0c67.9 0 133 27 181 75l43.6 43.6c9.2 9.2 22.9 11.9 34.9 6.9s19.8-16.6 19.8-29.6V300.4c18.6-8.8 32-32.5 32-60.4s-13.4-51.6-32-60.4V32zm-64 76.7V240 371.3C357.2 317.8 280.5 288 200.7 288H192V192h8.7c79.8 0 156.5-29.8 215.3-83.3z" />
< / svg >
2024-03-18 03:11:11 +08:00
< span > 纸质书已发布，详情请见< a href = "/chapter_paperbook/" > 这里< / a > < / span >
2024-02-23 17:59:37 +08:00
< / div >
2024-02-23 17:03:55 +08:00
< / div >
< script > var content , el = document . querySelector ( "[data-md-component=announce]" ) ; el && ( content = el . querySelector ( ".md-typeset" ) , _ _md _hash ( content . innerHTML ) === _ _md _get ( "__announce" ) && ( el . hidden = ! 0 ) ) < / script >
< / aside >
2023-03-26 22:05:43 +08:00
< / div >
< header class = "md-header md-header--shadow" data-md-component = "header" >
< 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" >
2023-03-26 22:05:43 +08:00
< / a >
< label class = "md-header__button md-icon" for = "__drawer" >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +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
11.10 基数排序
2023-03-26 22:05:43 +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
2024-02-08 03:34:53 +08:00
< input class = "md-option" data-md-color-media = "" data-md-color-scheme = "default" data-md-color-primary = "white" data-md-color-accent = "teal" aria-label = "深色模式" type = "radio" name = "__palette" id = "__palette_0" >
2023-09-24 17:12:06 +08:00
2024-02-08 03:34:53 +08:00
< label class = "md-header__button md-icon" title = "深色模式" 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 >
2024-02-08 03:34:53 +08:00
< input class = "md-option" data-md-color-media = "" data-md-color-scheme = "slate" data-md-color-primary = "black" data-md-color-accent = "teal" aria-label = "浅色模式" type = "radio" name = "__palette" id = "__palette_1" >
2023-09-24 17:12:06 +08:00
2024-02-08 03:34:53 +08:00
< label class = "md-header__button md-icon" title = "浅色模式" 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
2023-03-26 22:05:43 +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" >
2024-05-01 19:57:53 +08:00
< a href = "/chapter_sorting/radix_sort/" hreflang = "zh" class = "md-select__link" >
2024-04-06 03:02:26 +08:00
简体中文
< / a >
< / li >
< li class = "md-select__item" >
2024-05-01 19:57:53 +08:00
< a href = "/zh-hant/chapter_sorting/radix_sort/" hreflang = "zh-Hant" class = "md-select__link" >
2024-04-06 03:02:26 +08:00
繁體中文
2023-10-06 13:31:31 +08:00
< / a >
< / li >
2023-12-22 00:01:12 +08:00
< li class = "md-select__item" >
2024-05-01 19:57:53 +08:00
< a href = "/en/chapter_sorting/radix_sort/" hreflang = "en" class = "md-select__link" >
2023-12-22 00:01:12 +08:00
English
< / a >
< / li >
2023-10-06 13:31:31 +08:00
< / ul >
< / div >
< / div >
< / div >
2023-03-26 22:05:43 +08:00
< label class = "md-header__button md-icon" for = "__search" >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +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
2023-03-26 22:05:43 +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
2023-03-26 22:05:43 +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
2023-03-26 22:05:43 +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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +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
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +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
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< li class = "md-nav__item md-nav__item--nested" >
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_1" >
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_hello_algo/" class = "md-nav__link " >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "m13.13 22.19-1.63-3.83c1.57-.58 3.04-1.36 4.4-2.27l-2.77 6.1M5.64 12.5l-3.83-1.63 6.1-2.77C7 9.46 6.22 10.93 5.64 12.5M19.22 4c.28 0 .53 0 .74.05.17 1.39-.02 4.25-3.3 7.53-1.7 1.71-3.73 3.02-6.01 3.89l-2.15-2.1c.92-2.31 2.23-4.34 3.92-6.03C15.18 4.58 17.64 4 19.22 4m0-2c-1.98 0-4.98.69-8.22 3.93-2.19 2.19-3.5 4.6-4.35 6.71-.28.75-.09 1.57.46 2.13l2.13 2.12c.38.38.89.61 1.42.61.23 0 .47-.06.7-.15A19.1 19.1 0 0 0 18.07 13c5.66-5.66 3.54-10.61 3.54-10.61S20.7 2 19.22 2m-4.68 7.46c-.78-.78-.78-2.05 0-2.83s2.05-.78 2.83 0c.77.78.78 2.05 0 2.83-.78.78-2.05.78-2.83 0m-5.66 7.07-1.41-1.41 1.41 1.41M6.24 22l3.64-3.64c-.34-.09-.67-.24-.97-.45L4.83 22h1.41M2 22h1.41l4.77-4.76-1.42-1.41L2 20.59V22m0-2.83 4.09-4.08c-.21-.3-.36-.62-.45-.97L2 17.76v1.41Z" / > < / svg >
< span class = "md-ellipsis" >
序
< / span >
< / a >
< / 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 >
序
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
< / ul >
< / nav >
< / li >
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_2" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_2_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_2" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 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
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_3" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_3_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_3" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-08-24 17:47:31 +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
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_4" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_4_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_4" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-08-24 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-05-17 04:37:57 +08:00
2023-07-17 17:51:12 +08:00
2023-05-17 04:37:57 +08:00
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_5" >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +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 " >
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / a >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_5_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_5" >
2023-07-17 17:51:12 +08:00
< 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 >
2023-03-26 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-11-26 02:06:45 +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
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_6" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_6_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_6" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-11-26 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_7" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_7_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_7" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 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
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_8" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_8_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_8" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< 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 >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:07:42 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:07:42 +08:00
2023-12-07 20:12:31 +08:00
2023-06-16 21:22:53 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_hashing/hash_algorithm/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
6.3 哈希算法
2023-07-17 17:51:12 +08:00
< / span >
2023-06-16 21:22:53 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-16 21:22:53 +08:00
2023-07-17 17:51:12 +08:00
2023-06-16 21:22:53 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:07:42 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_hashing/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
6.4 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:07:42 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:07:42 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +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
2023-07-17 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
2023-07-17 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
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_9" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_tree/" class = "md-nav__link " >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M19.5 17c-.14 0-.26 0-.39.04L17.5 13.8c.45-.45.75-1.09.75-1.8a2.5 2.5 0 0 0-2.5-2.5c-.14 0-.25 0-.4.04L13.74 6.3c.47-.46.76-1.09.76-1.8a2.5 2.5 0 0 0-5 0c0 .7.29 1.34.76 1.79L8.65 9.54c-.15-.04-.26-.04-.4-.04a2.5 2.5 0 0 0-2.5 2.5c0 .71.29 1.34.75 1.79l-1.61 3.25C4.76 17 4.64 17 4.5 17a2.5 2.5 0 0 0 0 5A2.5 2.5 0 0 0 7 19.5c0-.7-.29-1.34-.76-1.79l1.62-3.25c.14.04.26.04.39.04s.25 0 .38-.04l1.63 3.25c-.47.45-.76 1.09-.76 1.79a2.5 2.5 0 0 0 5 0A2.5 2.5 0 0 0 12 17c-.13 0-.26 0-.39.04L10 13.8c.45-.45.75-1.09.75-1.8 0-.7-.29-1.33-.75-1.79l1.61-3.25c.13.04.26.04.39.04s.26 0 .39-.04L14 10.21a2.5 2.5 0 0 0 1.75 4.29c.13 0 .25 0 .38-.04l1.63 3.25c-.47.45-.76 1.09-.76 1.79a2.5 2.5 0 0 0 5 0 2.5 2.5 0 0 0-2.5-2.5m-15 3.5c-.55 0-1-.45-1-1s.45-1 1-1 1 .45 1 1-.45 1-1 1m8.5-1c0 .55-.45 1-1 1s-1-.45-1-1 .45-1 1-1 1 .45 1 1M7.25 12c0-.55.45-1 1-1s1 .45 1 1-.45 1-1 1-1-.45-1-1M11 4.5c0-.55.45-1 1-1s1 .45 1 1-.45 1-1 1-1-.45-1-1m3.75 7.5c0-.55.45-1 1-1s1 .45 1 1-.45 1-1 1-1-.45-1-1m4.75 8.5c-.55 0-1-.45-1-1s.45-1 1-1 1 .45 1 1-.45 1-1 1Z" / > < / svg >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
第 7 章 树
2023-07-17 17:51:12 +08:00
< / span >
< / a >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_9_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_9" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_tree/binary_tree/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.1 二叉树
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_tree/binary_tree_traversal/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.2 二叉树遍历
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_tree/array_representation_of_tree/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.3 二叉树数组表示
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_tree/binary_search_tree/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.4 二叉搜索树
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_tree/avl_tree/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.5 AVL 树 *
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_tree/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
7.6 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-06-12 23:05:10 +08:00
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_10" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_10_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_10" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 8 章 堆
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-03-26 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
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_heap/heap/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
8.1 堆
2023-07-17 17:51:12 +08:00
< / span >
2023-04-17 18:24:27 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-12-07 20:12:31 +08:00
2023-04-17 18:24:27 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_heap/build_heap/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
8.2 建堆操作
2023-07-17 17:51:12 +08:00
< / span >
2023-06-12 23:05:10 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-12 23:05:10 +08:00
2023-07-17 17:51:12 +08:00
2023-06-12 23:05:10 +08:00
2023-12-07 20:12:31 +08:00
2023-06-12 23:05:10 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_heap/top_k/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-12-28 17:18:44 +08:00
8.3 Top-k 问题
2023-07-17 17:51:12 +08:00
< / span >
2023-04-17 18:24:27 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-12-07 20:12:31 +08:00
2023-04-17 18:24:27 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_heap/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
8.4 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_11" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_11_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_11" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_graph/graph/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
9.1 图
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_graph/graph_operations/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
9.2 图基础操作
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_graph/graph_traversal/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
9.3 图的遍历
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_graph/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
9.4 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-08-04 05:25:00 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_12" >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_12_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_12" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-08-04 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_searching/searching_algorithm_revisited/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
10.5 重识搜索算法
2023-07-17 17:51:12 +08:00
< / span >
2023-05-21 19:29:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-07-17 17:51:12 +08:00
2023-05-21 19:29:51 +08:00
2023-12-07 20:12:31 +08:00
2023-05-21 19:29:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_searching/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
10.6 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-05-24 00:32:47 +08:00
2023-07-17 17:51:12 +08:00
2023-05-26 04:48:01 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_13" checked >
2023-07-17 17:51:12 +08:00
2023-06-02 01:35:09 +08:00
2023-03-26 22:05:43 +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 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 >
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_13_label" aria-expanded = "true" >
< label class = "md-nav__title" for = "__nav_13" >
2023-07-17 17:51:12 +08:00
< 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
2023-03-26 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
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
2023-04-16 04:55:58 +08:00
< a href = "../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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-05-24 00:32:47 +08:00
< li class = "md-nav__item" >
< a href = "../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
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
< a href = "../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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
< a href = "../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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
< a href = "../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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
< a href = "../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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-05-26 04:48:01 +08:00
< li class = "md-nav__item" >
< a href = "../heap_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.7 堆排序
2023-07-17 17:51:12 +08:00
< / span >
2023-05-26 04:48:01 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-05-26 04:48:01 +08:00
2023-07-17 17:51:12 +08:00
2023-05-26 04:48:01 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
< a href = "../bucket_sort/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
11.8 桶排序
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +08:00
< li class = "md-nav__item" >
< a href = "../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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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
11.10 基数排序
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +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
11.10 基数排序
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +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" >
2023-05-26 04:48:01 +08:00
< a href = "#11101" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
11.10.1 算法流程
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-05-26 04:48:01 +08:00
< a href = "#11102" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
11.10.2 算法特性
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
< / ul >
< / nav >
< / 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
2023-03-26 22:05:43 +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
11.11 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-07-17 02:17:51 +08:00
2023-07-17 20:19:46 +08:00
2023-07-17 17:51:12 +08:00
2023-07-17 04:21:02 +08:00
2023-07-16 04:19:01 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_14" >
2023-07-17 17:51:12 +08:00
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
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_14_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_14" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 12 章 分治
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-12-07 20:12:31 +08:00
2023-07-16 04:19:01 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_divide_and_conquer/divide_and_conquer/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.1 分治算法
2023-07-17 17:51:12 +08:00
< / span >
2023-07-16 04:19:01 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 04:21:02 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_divide_and_conquer/binary_search_recur/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.2 分治搜索策略
2023-07-17 17:51:12 +08:00
< / span >
2023-07-17 04:21:02 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-17 04:21:02 +08:00
2023-07-17 17:51:12 +08:00
2023-07-17 04:21:02 +08:00
2023-12-07 20:12:31 +08:00
2023-07-16 04:19:01 +08:00
< li class = "md-nav__item" >
2023-07-17 02:17:51 +08:00
< a href = "../../chapter_divide_and_conquer/build_binary_tree_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.3 构建树问题
2023-07-17 17:51:12 +08:00
< / span >
2023-07-16 04:19:01 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-17 02:17:51 +08:00
2023-07-17 17:51:12 +08:00
2023-07-17 02:17:51 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 02:17:51 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_divide_and_conquer/hanota_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.4 汉诺塔问题
2023-07-17 17:51:12 +08:00
< / span >
2023-07-17 02:17:51 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-07-17 02:17:51 +08:00
2023-07-17 20:19:46 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 20:19:46 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_divide_and_conquer/summary/" class = "md-nav__link" >
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
12.5 小结
2023-07-17 20:19:46 +08:00
< / span >
< / a >
< / li >
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-07-16 04:19:01 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-07-16 04:19:01 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-06-21 02:55:52 +08:00
2023-07-17 17:51:12 +08:00
2023-06-22 00:23:01 +08:00
2023-03-26 22:05:43 +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" >
2023-03-26 22:05:43 +08:00
2023-06-02 01:35:09 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_15" >
2023-07-17 17:51:12 +08:00
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
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_15_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_15" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
2023-08-19 22:07:40 +08:00
第 13 章 回溯
2023-07-17 17:51:12 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
2023-06-02 01:35:09 +08:00
2023-04-16 04:55:58 +08:00
2023-07-17 17:51:12 +08:00
2023-04-16 04:55:58 +08:00
2023-12-07 20:12:31 +08:00
2023-04-16 04:55:58 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_backtracking/backtracking_algorithm/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.1 回溯算法
2023-07-17 17:51:12 +08:00
< / span >
2023-04-17 18:24:27 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-12-07 20:12:31 +08:00
2023-04-17 18:24:27 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_backtracking/permutations_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.2 全排列问题
2023-07-17 17:51:12 +08:00
< / span >
2023-04-17 18:24:27 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-07-17 17:51:12 +08:00
2023-04-17 18:24:27 +08:00
2023-12-07 20:12:31 +08:00
2023-06-21 02:55:52 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_backtracking/subset_sum_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.3 子集和问题
2023-07-17 17:51:12 +08:00
< / span >
2023-06-21 02:55:52 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-21 02:55:52 +08:00
2023-07-17 17:51:12 +08:00
2023-06-21 02:55:52 +08:00
2023-12-07 20:12:31 +08:00
2023-04-17 18:24:27 +08:00
< li class = "md-nav__item" >
2023-05-21 19:29:51 +08:00
< a href = "../../chapter_backtracking/n_queens_problem/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.4 N 皇后问题
2023-07-17 17:51:12 +08:00
< / span >
2023-04-16 04:55:58 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-22 00:23:01 +08:00
2023-07-17 17:51:12 +08:00
2023-06-22 00:23:01 +08:00
2023-12-07 20:12:31 +08:00
2023-06-22 00:23:01 +08:00
< li class = "md-nav__item" >
< a href = "../../chapter_backtracking/summary/" class = "md-nav__link" >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
2023-08-19 22:07:40 +08:00
13.5 小结
2023-07-17 17:51:12 +08:00
< / span >
2023-06-22 00:23:01 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-06-22 00:23:01 +08:00
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-04-16 04:55:58 +08:00
< / li >
2023-12-07 20:12:31 +08:00
2023-04-16 04:55:58 +08:00
2023-07-17 17:51:12 +08:00
2023-04-16 04:55:58 +08:00
2023-07-17 17:51:12 +08:00
2023-04-24 03:30:35 +08:00
2023-07-17 17:51:12 +08:00
2023-07-01 22:39:28 +08:00
2023-07-17 17:51:12 +08:00
2023-07-06 00:08:29 +08:00
2023-07-17 17:51:12 +08:00
2023-07-07 21:39:04 +08:00
2023-07-17 17:51:12 +08:00
2023-07-11 19:21:38 +08:00
2023-07-17 17:51:12 +08:00
2023-07-14 02:56:32 +08:00
2023-07-17 17:51:12 +08:00
2023-07-13 05:26:03 +08:00
2023-04-16 04:55:58 +08:00
2023-12-07 20:12:31 +08:00
2023-07-17 17:51:12 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2023-04-16 04:55:58 +08:00
2023-06-30 04:33:52 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_16" >
2023-07-17 17:51:12 +08:00
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
2024-04-03 04:41:32 +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 >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_16_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_16" >
2023-07-17 17:51:12 +08:00
< 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
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_17" >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +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
2024-04-03 04:41:32 +08:00
< label class = "md-nav__link " for = "__nav_17" id = "__nav_17_label" tabindex = "0" >
2023-07-17 17:51:12 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_17_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_17" >
2023-07-17 17:51:12 +08:00
< 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 >
2023-07-21 15:14:51 +08:00
< / a >
< / li >
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 >
2023-07-21 21:53:15 +08:00
< / a >
< / li >
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 >
2023-07-21 22:50:40 +08:00
< / a >
< / li >
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 >
2023-07-20 18:24:35 +08:00
< / a >
< / li >
< / 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" >
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_18" >
2023-07-20 18:24:35 +08:00
< 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
2024-04-03 04:41:32 +08:00
< label class = "md-nav__link " for = "__nav_18" id = "__nav_18_label" tabindex = "0" >
2023-07-20 18:24:35 +08:00
< span class = "md-nav__icon md-icon" > < / span >
< / label >
< / div >
2024-04-03 04:41:32 +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" >
2023-07-20 18:24:35 +08:00
< 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 >
2023-03-26 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
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-12-07 20:12:31 +08:00
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +08:00
2023-10-30 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 >
< / a >
< / li >
2023-07-17 17:51:12 +08:00
< / ul >
< / nav >
2023-03-26 22:05:43 +08:00
< / li >
2023-12-07 20:12:31 +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
2023-07-17 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" >
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_19" >
2023-07-17 17:51:12 +08:00
2023-03-26 22:05:43 +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 " >
2024-03-10 20:46:48 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M9 3v15h3V3H9m3 2 4 13 3-1-4-13-3 1M5 5v13h3V5H5M3 19v2h18v-2H3Z" / > < / svg >
2023-07-17 17:51:12 +08:00
< span class = "md-ellipsis" >
参考文献
< / span >
< / a >
2023-03-26 22:05:43 +08:00
2023-07-17 17:51:12 +08:00
< / div >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_19_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_19" >
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 >
2023-03-26 22:05:43 +08:00
< / li >
2024-03-10 20:46:48 +08:00
< li class = "md-nav__item md-nav__item--nested" >
2024-04-03 04:41:32 +08:00
< input class = "md-nav__toggle md-toggle " type = "checkbox" id = "__nav_20" >
2024-03-10 20:46:48 +08:00
< div class = "md-nav__link md-nav__container" >
< a href = "../../chapter_paperbook/" class = "md-nav__link " >
2024-04-03 04:41:32 +08:00
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "m19 2-5 4.5v11l5-4.5V2M6.5 5C4.55 5 2.45 5.4 1 6.5v14.66c0 .25.25.5.5.5.1 0 .15-.07.25-.07 1.35-.65 3.3-1.09 4.75-1.09 1.95 0 4.05.4 5.5 1.5 1.35-.85 3.8-1.5 5.5-1.5 1.65 0 3.35.31 4.75 1.06.1.05.15.03.25.03.25 0 .5-.25.5-.5V6.5c-.6-.45-1.25-.75-2-1V19c-1.1-.35-2.3-.5-3.5-.5-1.7 0-4.15.65-5.5 1.5V6.5C10.55 5.4 8.45 5 6.5 5Z" / > < / svg >
2024-03-10 20:46:48 +08:00
< span class = "md-ellipsis" >
2024-03-18 03:11:11 +08:00
纸质书
2024-03-10 20:46:48 +08:00
< / span >
< span class = "md-status md-status--new" title = "最近添加" >
< / span >
< / a >
< / div >
2024-04-03 04:41:32 +08:00
< nav class = "md-nav" data-md-level = "1" aria-labelledby = "__nav_20_label" aria-expanded = "false" >
< label class = "md-nav__title" for = "__nav_20" >
2024-03-10 20:46:48 +08:00
< span class = "md-nav__icon md-icon" > < / span >
2024-03-18 03:11:11 +08:00
纸质书
2024-03-10 20:46:48 +08:00
< / label >
< ul class = "md-nav__list" data-md-scrollfix >
< / ul >
< / nav >
< / li >
2023-03-26 22:05:43 +08:00
< / 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" >
2023-05-26 04:48:01 +08:00
< a href = "#11101" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
11.10.1 算法流程
< / span >
2023-03-26 22:05:43 +08:00
< / a >
< / li >
< li class = "md-nav__item" >
2023-05-26 04:48:01 +08:00
< a href = "#11102" class = "md-nav__link" >
2023-12-07 20:12:31 +08:00
< span class = "md-ellipsis" >
11.10.2 算法特性
< / span >
2023-03-26 22:05:43 +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 -->
2023-03-26 22:05:43 +08:00
2023-12-06 22:28:53 +08:00
<!-- Edit button -->
2023-03-26 22:05:43 +08:00
2023-12-06 22:28:53 +08:00
< a
href="https://github.com/krahets/hello-algo/tree/main/docs/chapter_sorting/radix_sort.md"
title="编辑此页"
class="md-content__button md-icon"
>
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +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 = "1110" > 11.10 基数排序< a class = "headerlink" href = "#1110" title = "Permanent link" > ¶ < / a > < / h1 >
2023-12-02 06:24:11 +08:00
< p > 上一节介绍了计数排序，它适用于数据量 < span class = "arithmatex" > \(n\)< / span > 较大但数据范围 < span class = "arithmatex" > \(m\)< / span > 较小的情况。假设我们需要对 < span class = "arithmatex" > \(n = 10^6\)< / span > 个学号进行排序，而学号是一个 < span class = "arithmatex" > \(8\)< / span > 位数字，这意味着数据范围 < span class = "arithmatex" > \(m = 10^8\)< / span > 非常大，使用计数排序需要分配大量内存空间，而基数排序可以避免这种情况。< / p >
2024-04-03 04:41:32 +08:00
< p > < u > 基数排序（ ） < / u > 的核心思想与计数排序一致，也通过统计个数来实现排序。在此基础上，基数排序利用数字各位之间的递进关系，依次对每一位进行排序，从而得到最终的排序结果。< / p >
2023-08-19 22:07:40 +08:00
< h2 id = "11101" > 11.10.1 算法流程< a class = "headerlink" href = "#11101" title = "Permanent link" > ¶ < / a > < / h2 >
2023-08-22 13:50:24 +08:00
< p > 以学号数据为例，假设数字的最低位是第 < span class = "arithmatex" > \(1\)< / span > 位，最高位是第 < span class = "arithmatex" > \(8\)< / span > 位，基数排序的流程如图 11-18 所示。< / p >
2023-03-26 22:05:43 +08:00
< ol >
2023-07-26 08:59:03 +08:00
< li > 初始化位数 < span class = "arithmatex" > \(k = 1\)< / span > 。< / li >
2023-08-20 23:28:04 +08:00
< li > 对学号的第 < span class = "arithmatex" > \(k\)< / span > 位执行“计数排序”。完成后，数据会根据第 < span class = "arithmatex" > \(k\)< / span > 位从小到大排序。< / li >
2023-07-26 08:59:03 +08:00
< li > 将 < span class = "arithmatex" > \(k\)< / span > 增加 < span class = "arithmatex" > \(1\)< / span > ，然后返回步骤 < code > 2.< / code > 继续迭代，直到所有位都排序完成后结束。< / li >
2023-03-26 22:05:43 +08:00
< / ol >
2023-11-09 05:13:54 +08:00
< p > < a class = "glightbox" href = "../radix_sort.assets/radix_sort_overview.png" data-type = "image" data-width = "100%" data-height = "auto" data-desc-position = "bottom" > < img alt = "基数排序算法流程" class = "animation-figure" src = "../radix_sort.assets/radix_sort_overview.png" / > < / a > < / p >
2023-08-22 13:50:24 +08:00
< p align = "center" > 图 11-18 基数排序算法流程 < / p >
2023-03-26 22:05:43 +08:00
2023-12-02 06:24:11 +08:00
< p > 下面剖析代码实现。对于一个 < span class = "arithmatex" > \(d\)< / span > 进制的数字 < span class = "arithmatex" > \(x\)< / span > ，要获取其第 < span class = "arithmatex" > \(k\)< / span > 位 < span class = "arithmatex" > \(x_k\)< / span > ，可以使用以下计算公式：< / p >
2023-03-26 22:05:43 +08:00
< div class = "arithmatex" > \[
2023-05-18 17:17:41 +08:00
x_k = \lfloor\frac{x}{d^{k-1}}\rfloor \bmod d
2023-03-26 22:05:43 +08:00
\]< / div >
2023-12-28 17:18:44 +08:00
< p > 其中 < span class = "arithmatex" > \(\lfloor a \rfloor\)< / span > 表示对浮点数 < span class = "arithmatex" > \(a\)< / span > 向下取整，而 < span class = "arithmatex" > \(\bmod \: d\)< / span > 表示对 < span class = "arithmatex" > \(d\)< / span > 取模（取余）。对于学号数据，< span class = "arithmatex" > \(d = 10\)< / span > 且 < span class = "arithmatex" > \(k \in [1, 8]\)< / span > 。< / p >
2023-12-02 06:24:11 +08:00
< p > 此外，我们需要小幅改动计数排序代码，使之可以根据数字的第 < span class = "arithmatex" > \(k\)< / span > 位进行排序：< / p >
2024-03-31 03:53:09 +08:00
< div class = "tabbed-set tabbed-alternate" data-tabs = "1:14" > < 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" / > < input id = "__tabbed_1_5" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_6" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_7" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_8" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_9" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_10" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_11" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_12" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_13" name = "__tabbed_1" type = "radio" / > < input id = "__tabbed_1_14" name = "__tabbed_1" type = "radio" / > < div class = "tabbed-labels" > < label for = "__tabbed_1_1" > Python< / label > < label for = "__tabbed_1_2" > C++< / label > < label for = "__tabbed_1_3" > Java< / label > < label for = "__tabbed_1_4" > C#< / label > < label for = "__tabbed_1_5" > Go< / label > < label for = "__tabbed_1_6" > Swift< / label > < label for = "__tabbed_1_7" > JS< / label > < label for = "__tabbed_1_8" > TS< / label > < label for = "__tabbed_1_9" > Dart< / label > < label for = "__tabbed_1_10" > Rust< / label > < label for = "__tabbed_1_11" > C< / label > < label for = "__tabbed_1_12" > Kotlin< / label > < label for = "__tabbed_1_13" > Ruby< / label > < label for = "__tabbed_1_14" > Zig< / label > < / div >
2023-03-26 22:05:43 +08:00
< div class = "tabbed-content" >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.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" > digit< / 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 = "n" > exp< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > )< / span > < span class = "o" > -> < / span > < span class = "nb" > int< / 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" > " " " 获取元素 num 的第 k 位，其中 exp = 10^(k-1)" " " < / span >
< a id = "__codelineno-0-3" name = "__codelineno-0-3" href = "#__codelineno-0-3" > < / a > < span class = "c1" > # 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-0-4" name = "__codelineno-0-4" href = "#__codelineno-0-4" > < / a > < span class = "k" > return< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "o" > //< / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "o" > %< / span > < span class = "mi" > 10< / span >
< a id = "__codelineno-0-5" name = "__codelineno-0-5" href = "#__codelineno-0-5" > < / a >
< a id = "__codelineno-0-6" name = "__codelineno-0-6" href = "#__codelineno-0-6" > < / a > < span class = "k" > def< / span > < span class = "nf" > counting_sort_digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > :< / span > < span class = "nb" > list< / span > < span class = "p" > [< / span > < span class = "nb" > int< / span > < span class = "p" > ],< / span > < span class = "n" > exp< / span > < span class = "p" > :< / span > < span class = "nb" > int< / span > < span class = "p" > ):< / span >
< a id = "__codelineno-0-7" name = "__codelineno-0-7" href = "#__codelineno-0-7" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 计数排序（根据 nums 第 k 位排序）" " " < / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-0-8" name = "__codelineno-0-8" href = "#__codelineno-0-8" > < / a > < span class = "c1" > # 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-0-9" name = "__codelineno-0-9" href = "#__codelineno-0-9" > < / a > < span class = "n" > counter< / span > < span class = "o" > =< / span > < span class = "p" > [< / span > < span class = "mi" > 0< / span > < span class = "p" > ]< / span > < span class = "o" > *< / span > < span class = "mi" > 10< / span >
< a id = "__codelineno-0-10" name = "__codelineno-0-10" href = "#__codelineno-0-10" > < / a > < span class = "n" > n< / span > < span class = "o" > =< / span > < span class = "nb" > len< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > )< / span >
< a id = "__codelineno-0-11" name = "__codelineno-0-11" href = "#__codelineno-0-11" > < / a > < span class = "c1" > # 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-0-12" name = "__codelineno-0-12" href = "#__codelineno-0-12" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "ow" > in< / span > < span class = "nb" > range< / span > < span class = "p" > (< / span > < span class = "n" > n< / span > < span class = "p" > ):< / span >
< a id = "__codelineno-0-13" name = "__codelineno-0-13" href = "#__codelineno-0-13" > < / a > < span class = "n" > d< / span > < span class = "o" > =< / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "c1" > # 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-0-14" name = "__codelineno-0-14" href = "#__codelineno-0-14" > < / a > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > +=< / span > < span class = "mi" > 1< / span > < span class = "c1" > # 统计数字 d 的出现次数< / span >
< a id = "__codelineno-0-15" name = "__codelineno-0-15" href = "#__codelineno-0-15" > < / a > < span class = "c1" > # 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-0-16" name = "__codelineno-0-16" href = "#__codelineno-0-16" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "ow" > in< / span > < span class = "nb" > range< / span > < span class = "p" > (< / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "mi" > 10< / span > < span class = "p" > ):< / span >
< a id = "__codelineno-0-17" name = "__codelineno-0-17" href = "#__codelineno-0-17" > < / a > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "o" > +=< / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-0-18" name = "__codelineno-0-18" href = "#__codelineno-0-18" > < / a > < span class = "c1" > # 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-0-19" name = "__codelineno-0-19" href = "#__codelineno-0-19" > < / a > < span class = "n" > res< / span > < span class = "o" > =< / span > < span class = "p" > [< / span > < span class = "mi" > 0< / span > < span class = "p" > ]< / span > < span class = "o" > *< / span > < span class = "n" > n< / span >
< a id = "__codelineno-0-20" name = "__codelineno-0-20" href = "#__codelineno-0-20" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "ow" > in< / span > < span class = "nb" > range< / span > < span class = "p" > (< / span > < span class = "n" > n< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "p" > ):< / span >
< a id = "__codelineno-0-21" name = "__codelineno-0-21" href = "#__codelineno-0-21" > < / a > < span class = "n" > d< / span > < span class = "o" > =< / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-0-22" name = "__codelineno-0-22" href = "#__codelineno-0-22" > < / a > < span class = "n" > j< / span > < span class = "o" > =< / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "c1" > # 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-0-23" name = "__codelineno-0-23" href = "#__codelineno-0-23" > < / a > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > j< / span > < span class = "p" > ]< / span > < span class = "o" > =< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "c1" > # 将当前元素填入索引 j< / span >
< a id = "__codelineno-0-24" name = "__codelineno-0-24" href = "#__codelineno-0-24" > < / a > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > -=< / span > < span class = "mi" > 1< / span > < span class = "c1" > # 将 d 的数量减 1< / span >
< a id = "__codelineno-0-25" name = "__codelineno-0-25" href = "#__codelineno-0-25" > < / a > < span class = "c1" > # 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-0-26" name = "__codelineno-0-26" href = "#__codelineno-0-26" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "ow" > in< / span > < span class = "nb" > range< / span > < span class = "p" > (< / span > < span class = "n" > n< / span > < span class = "p" > ):< / span >
< a id = "__codelineno-0-27" name = "__codelineno-0-27" href = "#__codelineno-0-27" > < / a > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "o" > =< / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-0-28" name = "__codelineno-0-28" href = "#__codelineno-0-28" > < / a >
< a id = "__codelineno-0-29" name = "__codelineno-0-29" href = "#__codelineno-0-29" > < / a > < span class = "k" > def< / span > < span class = "nf" > radix_sort< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > :< / span > < span class = "nb" > list< / span > < span class = "p" > [< / span > < span class = "nb" > int< / span > < span class = "p" > ]):< / span >
< a id = "__codelineno-0-30" name = "__codelineno-0-30" href = "#__codelineno-0-30" > < / a > < span class = "w" > < / span > < span class = "sd" > " " " 基数排序" " " < / span >
< a id = "__codelineno-0-31" name = "__codelineno-0-31" href = "#__codelineno-0-31" > < / a > < span class = "c1" > # 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-0-32" name = "__codelineno-0-32" href = "#__codelineno-0-32" > < / a > < span class = "n" > m< / span > < span class = "o" > =< / span > < span class = "nb" > max< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > )< / span >
< a id = "__codelineno-0-33" name = "__codelineno-0-33" href = "#__codelineno-0-33" > < / a > < span class = "c1" > # 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-0-34" name = "__codelineno-0-34" href = "#__codelineno-0-34" > < / a > < span class = "n" > exp< / span > < span class = "o" > =< / span > < span class = "mi" > 1< / span >
< a id = "__codelineno-0-35" name = "__codelineno-0-35" href = "#__codelineno-0-35" > < / a > < span class = "k" > while< / span > < span class = "n" > exp< / span > < span class = "o" > < =< / span > < span class = "n" > m< / span > < span class = "p" > :< / span >
< a id = "__codelineno-0-36" name = "__codelineno-0-36" href = "#__codelineno-0-36" > < / a > < span class = "c1" > # 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-0-37" name = "__codelineno-0-37" href = "#__codelineno-0-37" > < / a > < span class = "c1" > # k = 1 -> exp = 1< / span >
< a id = "__codelineno-0-38" name = "__codelineno-0-38" href = "#__codelineno-0-38" > < / a > < span class = "c1" > # k = 2 -> exp = 10< / span >
< a id = "__codelineno-0-39" name = "__codelineno-0-39" href = "#__codelineno-0-39" > < / a > < span class = "c1" > # 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-0-40" name = "__codelineno-0-40" href = "#__codelineno-0-40" > < / a > < span class = "n" > counting_sort_digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-0-41" name = "__codelineno-0-41" href = "#__codelineno-0-41" > < / a > < span class = "n" > exp< / span > < span class = "o" > *=< / span > < span class = "mi" > 10< / span >
2023-03-26 22:05:43 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.cpp< / span > < pre > < span > < / span > < code > < a id = "__codelineno-1-1" name = "__codelineno-1-1" href = "#__codelineno-1-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / span >
< a id = "__codelineno-1-2" name = "__codelineno-1-2" href = "#__codelineno-1-2" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > digit< / 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 = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / 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 = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-1-4" name = "__codelineno-1-4" href = "#__codelineno-1-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-1-5" name = "__codelineno-1-5" href = "#__codelineno-1-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-1-6" name = "__codelineno-1-6" href = "#__codelineno-1-6" > < / a >
< a id = "__codelineno-1-7" name = "__codelineno-1-7" href = "#__codelineno-1-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-1-8" name = "__codelineno-1-8" href = "#__codelineno-1-8" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-1-9" name = "__codelineno-1-9" href = "#__codelineno-1-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-1-10" name = "__codelineno-1-10" href = "#__codelineno-1-10" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > (< / span > < span class = "mi" > 10< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 0< / 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 = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "n" > size< / 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" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-1-13" name = "__codelineno-1-13" href = "#__codelineno-1-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-1-14" name = "__codelineno-1-14" href = "#__codelineno-1-14" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-1-15" name = "__codelineno-1-15" href = "#__codelineno-1-15" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > ++< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-1-16" name = "__codelineno-1-16" href = "#__codelineno-1-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-1-17" name = "__codelineno-1-17" href = "#__codelineno-1-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-1-18" name = "__codelineno-1-18" href = "#__codelineno-1-18" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-1-19" name = "__codelineno-1-19" href = "#__codelineno-1-19" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-1-20" name = "__codelineno-1-20" href = "#__codelineno-1-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-1-21" name = "__codelineno-1-21" href = "#__codelineno-1-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-1-22" name = "__codelineno-1-22" href = "#__codelineno-1-22" > < / a > < span class = "w" > < / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > (< / span > < span class = "n" > n< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > );< / span >
< a id = "__codelineno-1-23" name = "__codelineno-1-23" href = "#__codelineno-1-23" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > --< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-1-24" name = "__codelineno-1-24" href = "#__codelineno-1-24" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-1-25" name = "__codelineno-1-25" href = "#__codelineno-1-25" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-1-26" name = "__codelineno-1-26" href = "#__codelineno-1-26" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > j< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-1-27" name = "__codelineno-1-27" href = "#__codelineno-1-27" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > --< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-1-28" name = "__codelineno-1-28" href = "#__codelineno-1-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-1-29" name = "__codelineno-1-29" href = "#__codelineno-1-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-1-30" name = "__codelineno-1-30" href = "#__codelineno-1-30" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span >
< a id = "__codelineno-1-31" name = "__codelineno-1-31" href = "#__codelineno-1-31" > < / a > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-1-32" name = "__codelineno-1-32" href = "#__codelineno-1-32" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-1-33" name = "__codelineno-1-33" href = "#__codelineno-1-33" > < / a >
< a id = "__codelineno-1-34" name = "__codelineno-1-34" href = "#__codelineno-1-34" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-1-35" name = "__codelineno-1-35" href = "#__codelineno-1-35" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > radixSort< / span > < span class = "p" > (< / span > < span class = "n" > vector< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "o" > & < / span > < span class = "n" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-1-36" name = "__codelineno-1-36" href = "#__codelineno-1-36" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-1-37" name = "__codelineno-1-37" href = "#__codelineno-1-37" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > max_element< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "n" > begin< / span > < span class = "p" > (),< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "n" > end< / span > < span class = "p" > ());< / span >
< a id = "__codelineno-1-38" name = "__codelineno-1-38" href = "#__codelineno-1-38" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-1-39" name = "__codelineno-1-39" href = "#__codelineno-1-39" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span >
< a id = "__codelineno-1-40" name = "__codelineno-1-40" href = "#__codelineno-1-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-1-41" name = "__codelineno-1-41" href = "#__codelineno-1-41" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-1-42" name = "__codelineno-1-42" href = "#__codelineno-1-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-1-43" name = "__codelineno-1-43" href = "#__codelineno-1-43" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-1-44" name = "__codelineno-1-44" href = "#__codelineno-1-44" > < / a > < span class = "w" > < / span > < span class = "n" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-1-45" name = "__codelineno-1-45" href = "#__codelineno-1-45" > < / a > < span class = "p" > }< / span >
2023-03-26 22:05:43 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.java< / span > < pre > < span > < / span > < code > < a id = "__codelineno-2-1" name = "__codelineno-2-1" href = "#__codelineno-2-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / span >
< a id = "__codelineno-2-2" name = "__codelineno-2-2" href = "#__codelineno-2-2" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > digit< / 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 = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / 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 = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-2-4" name = "__codelineno-2-4" href = "#__codelineno-2-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-5" name = "__codelineno-2-5" href = "#__codelineno-2-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-2-6" name = "__codelineno-2-6" href = "#__codelineno-2-6" > < / a >
< a id = "__codelineno-2-7" name = "__codelineno-2-7" href = "#__codelineno-2-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-2-8" name = "__codelineno-2-8" href = "#__codelineno-2-8" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "o" > []< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-2-9" name = "__codelineno-2-9" href = "#__codelineno-2-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-2-10" name = "__codelineno-2-10" href = "#__codelineno-2-10" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "o" > []< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "o" > [< / span > < span class = "mi" > 10< / span > < span class = "o" > ]< / 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 = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "na" > length< / 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" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-2-13" name = "__codelineno-2-13" href = "#__codelineno-2-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-2-14" name = "__codelineno-2-14" href = "#__codelineno-2-14" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-2-15" name = "__codelineno-2-15" href = "#__codelineno-2-15" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > d< / span > < span class = "o" > ]++< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-2-16" name = "__codelineno-2-16" href = "#__codelineno-2-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-2-17" name = "__codelineno-2-17" href = "#__codelineno-2-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-2-18" name = "__codelineno-2-18" href = "#__codelineno-2-18" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-2-19" name = "__codelineno-2-19" href = "#__codelineno-2-19" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "o" > ]< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-20" name = "__codelineno-2-20" href = "#__codelineno-2-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-2-21" name = "__codelineno-2-21" href = "#__codelineno-2-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-2-22" name = "__codelineno-2-22" href = "#__codelineno-2-22" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "o" > []< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "o" > [< / span > < span class = "n" > n< / span > < span class = "o" > ]< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-23" name = "__codelineno-2-23" href = "#__codelineno-2-23" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > --< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-2-24" name = "__codelineno-2-24" href = "#__codelineno-2-24" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-2-25" name = "__codelineno-2-25" href = "#__codelineno-2-25" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > d< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-2-26" name = "__codelineno-2-26" href = "#__codelineno-2-26" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "o" > [< / span > < span class = "n" > j< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-2-27" name = "__codelineno-2-27" href = "#__codelineno-2-27" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > d< / span > < span class = "o" > ]--< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-2-28" name = "__codelineno-2-28" href = "#__codelineno-2-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-2-29" name = "__codelineno-2-29" href = "#__codelineno-2-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-2-30" name = "__codelineno-2-30" href = "#__codelineno-2-30" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span >
< a id = "__codelineno-2-31" name = "__codelineno-2-31" href = "#__codelineno-2-31" > < / a > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-32" name = "__codelineno-2-32" href = "#__codelineno-2-32" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-2-33" name = "__codelineno-2-33" href = "#__codelineno-2-33" > < / a >
< a id = "__codelineno-2-34" name = "__codelineno-2-34" href = "#__codelineno-2-34" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-2-35" name = "__codelineno-2-35" href = "#__codelineno-2-35" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > radixSort< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "o" > []< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-2-36" name = "__codelineno-2-36" href = "#__codelineno-2-36" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-2-37" name = "__codelineno-2-37" href = "#__codelineno-2-37" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > Integer< / span > < span class = "p" > .< / span > < span class = "na" > MIN_VALUE< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-2-38" name = "__codelineno-2-38" href = "#__codelineno-2-38" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > )< / span >
< a id = "__codelineno-2-39" name = "__codelineno-2-39" href = "#__codelineno-2-39" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > )< / span >
< a id = "__codelineno-2-40" name = "__codelineno-2-40" href = "#__codelineno-2-40" > < / a > < span class = "w" > < / span > < span class = "n" > m< / 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-2-41" name = "__codelineno-2-41" href = "#__codelineno-2-41" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
2024-04-11 01:11:27 +08:00
< a id = "__codelineno-2-42" name = "__codelineno-2-42" href = "#__codelineno-2-42" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-2-43" name = "__codelineno-2-43" href = "#__codelineno-2-43" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-2-44" name = "__codelineno-2-44" href = "#__codelineno-2-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-2-45" name = "__codelineno-2-45" href = "#__codelineno-2-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-2-46" name = "__codelineno-2-46" href = "#__codelineno-2-46" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-2-47" name = "__codelineno-2-47" href = "#__codelineno-2-47" > < / a > < span class = "w" > < / span > < span class = "n" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
2024-04-11 01:11:27 +08:00
< a id = "__codelineno-2-48" name = "__codelineno-2-48" href = "#__codelineno-2-48" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-2-49" name = "__codelineno-2-49" href = "#__codelineno-2-49" > < / a > < span class = "p" > }< / span >
2023-03-26 22:05:43 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.cs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-3-1" name = "__codelineno-3-1" href = "#__codelineno-3-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / 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 = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > Digit< / 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 = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / 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 = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-3-4" name = "__codelineno-3-4" href = "#__codelineno-3-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "m" > 10< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-3-5" name = "__codelineno-3-5" href = "#__codelineno-3-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-3-6" name = "__codelineno-3-6" href = "#__codelineno-3-6" > < / a >
< a id = "__codelineno-3-7" name = "__codelineno-3-7" href = "#__codelineno-3-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-3-8" name = "__codelineno-3-8" href = "#__codelineno-3-8" > < / a > < span class = "k" > void< / span > < span class = "w" > < / span > < span class = "nf" > CountingSortDigit< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > []< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-3-9" name = "__codelineno-3-9" href = "#__codelineno-3-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-3-10" name = "__codelineno-3-10" href = "#__codelineno-3-10" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > []< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > [< / span > < span class = "m" > 10< / 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 = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "n" > Length< / 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" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-3-13" name = "__codelineno-3-13" href = "#__codelineno-3-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-3-14" name = "__codelineno-3-14" href = "#__codelineno-3-14" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > Digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-3-15" name = "__codelineno-3-15" href = "#__codelineno-3-15" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > ++< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-3-16" name = "__codelineno-3-16" href = "#__codelineno-3-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-3-17" name = "__codelineno-3-17" href = "#__codelineno-3-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-3-18" name = "__codelineno-3-18" href = "#__codelineno-3-18" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "m" > 10< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-3-19" name = "__codelineno-3-19" href = "#__codelineno-3-19" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-3-20" name = "__codelineno-3-20" href = "#__codelineno-3-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-3-21" name = "__codelineno-3-21" href = "#__codelineno-3-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-3-22" name = "__codelineno-3-22" href = "#__codelineno-3-22" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > []< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "k" > new< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > [< / span > < span class = "n" > n< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-3-23" name = "__codelineno-3-23" href = "#__codelineno-3-23" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > --< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-3-24" name = "__codelineno-3-24" href = "#__codelineno-3-24" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > Digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-3-25" name = "__codelineno-3-25" href = "#__codelineno-3-25" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-3-26" name = "__codelineno-3-26" href = "#__codelineno-3-26" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > j< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-3-27" name = "__codelineno-3-27" href = "#__codelineno-3-27" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > --< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-3-28" name = "__codelineno-3-28" href = "#__codelineno-3-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-3-29" name = "__codelineno-3-29" href = "#__codelineno-3-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-3-30" name = "__codelineno-3-30" href = "#__codelineno-3-30" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-3-31" name = "__codelineno-3-31" href = "#__codelineno-3-31" > < / a > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-3-32" name = "__codelineno-3-32" href = "#__codelineno-3-32" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-3-33" name = "__codelineno-3-33" href = "#__codelineno-3-33" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-3-34" name = "__codelineno-3-34" href = "#__codelineno-3-34" > < / a >
< a id = "__codelineno-3-35" name = "__codelineno-3-35" href = "#__codelineno-3-35" > < / a > < span class = "cm" > /* 基数排序 */< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-3-36" name = "__codelineno-3-36" href = "#__codelineno-3-36" > < / a > < span class = "k" > void< / span > < span class = "w" > < / span > < span class = "nf" > RadixSort< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > []< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-3-37" name = "__codelineno-3-37" href = "#__codelineno-3-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-3-38" name = "__codelineno-3-38" href = "#__codelineno-3-38" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > .< / span > < span class = "n" > MinValue< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-3-39" name = "__codelineno-3-39" href = "#__codelineno-3-39" > < / a > < span class = "w" > < / span > < span class = "k" > foreach< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-3-40" name = "__codelineno-3-40" href = "#__codelineno-3-40" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "n" > m< / 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-3-41" name = "__codelineno-3-41" href = "#__codelineno-3-41" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-3-42" name = "__codelineno-3-42" href = "#__codelineno-3-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-3-43" name = "__codelineno-3-43" href = "#__codelineno-3-43" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "m" > 10< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-3-44" name = "__codelineno-3-44" href = "#__codelineno-3-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-3-45" name = "__codelineno-3-45" href = "#__codelineno-3-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-3-46" name = "__codelineno-3-46" href = "#__codelineno-3-46" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-3-47" name = "__codelineno-3-47" href = "#__codelineno-3-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
2023-10-08 01:43:42 +08:00
< a id = "__codelineno-3-48" name = "__codelineno-3-48" href = "#__codelineno-3-48" > < / a > < span class = "w" > < / span > < span class = "n" > CountingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-3-49" name = "__codelineno-3-49" href = "#__codelineno-3-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-3-50" name = "__codelineno-3-50" href = "#__codelineno-3-50" > < / a > < span class = "p" > }< / span >
2023-03-26 22:05:43 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.go< / span > < pre > < span > < / span > < code > < a id = "__codelineno-4-1" name = "__codelineno-4-1" href = "#__codelineno-4-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / 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 = "nx" > digit< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "kt" > int< / 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 = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-4-4" name = "__codelineno-4-4" href = "#__codelineno-4-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span >
< a id = "__codelineno-4-5" name = "__codelineno-4-5" href = "#__codelineno-4-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-4-6" name = "__codelineno-4-6" href = "#__codelineno-4-6" > < / a >
< a id = "__codelineno-4-7" name = "__codelineno-4-7" href = "#__codelineno-4-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-4-8" name = "__codelineno-4-8" href = "#__codelineno-4-8" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "nx" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > int< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-4-9" name = "__codelineno-4-9" href = "#__codelineno-4-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-4-10" name = "__codelineno-4-10" href = "#__codelineno-4-10" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nb" > make< / span > < span class = "p" > ([]< / span > < span class = "kt" > int< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span >
< a id = "__codelineno-4-11" name = "__codelineno-4-11" href = "#__codelineno-4-11" > < / a > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nb" > len< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > )< / span >
< a id = "__codelineno-4-12" name = "__codelineno-4-12" href = "#__codelineno-4-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-4-13" name = "__codelineno-4-13" href = "#__codelineno-4-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-14" name = "__codelineno-4-14" href = "#__codelineno-4-14" > < / a > < span class = "w" > < / span > < span class = "nx" > d< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > digit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-4-15" name = "__codelineno-4-15" href = "#__codelineno-4-15" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > d< / span > < span class = "p" > ]< / span > < span class = "o" > ++< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / 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" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-4-18" name = "__codelineno-4-18" href = "#__codelineno-4-18" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-19" name = "__codelineno-4-19" href = "#__codelineno-4-19" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-4-20" name = "__codelineno-4-20" href = "#__codelineno-4-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-4-21" name = "__codelineno-4-21" href = "#__codelineno-4-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-4-22" name = "__codelineno-4-22" href = "#__codelineno-4-22" > < / a > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nb" > make< / span > < span class = "p" > ([]< / span > < span class = "kt" > int< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "p" > )< / span >
< a id = "__codelineno-4-23" name = "__codelineno-4-23" href = "#__codelineno-4-23" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > --< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-24" name = "__codelineno-4-24" href = "#__codelineno-4-24" > < / a > < span class = "w" > < / span > < span class = "nx" > d< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > digit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-4-25" name = "__codelineno-4-25" href = "#__codelineno-4-25" > < / a > < span class = "w" > < / span > < span class = "nx" > j< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-4-26" name = "__codelineno-4-26" href = "#__codelineno-4-26" > < / a > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > [< / span > < span class = "nx" > j< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-4-27" name = "__codelineno-4-27" href = "#__codelineno-4-27" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > d< / span > < span class = "p" > ]< / span > < span class = "o" > --< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-4-28" name = "__codelineno-4-28" href = "#__codelineno-4-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-4-29" name = "__codelineno-4-29" href = "#__codelineno-4-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-4-30" name = "__codelineno-4-30" href = "#__codelineno-4-30" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "p" > < < / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-31" name = "__codelineno-4-31" href = "#__codelineno-4-31" > < / a > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-4-32" name = "__codelineno-4-32" href = "#__codelineno-4-32" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-4-33" name = "__codelineno-4-33" href = "#__codelineno-4-33" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-4-34" name = "__codelineno-4-34" href = "#__codelineno-4-34" > < / a >
< a id = "__codelineno-4-35" name = "__codelineno-4-35" href = "#__codelineno-4-35" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-4-36" name = "__codelineno-4-36" href = "#__codelineno-4-36" > < / a > < span class = "kd" > func< / span > < span class = "w" > < / span > < span class = "nx" > radixSort< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-37" name = "__codelineno-4-37" href = "#__codelineno-4-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-4-38" name = "__codelineno-4-38" href = "#__codelineno-4-38" > < / a > < span class = "w" > < / span > < span class = "nx" > max< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "nx" > math< / span > < span class = "p" > .< / span > < span class = "nx" > MinInt< / span >
< a id = "__codelineno-4-39" name = "__codelineno-4-39" href = "#__codelineno-4-39" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > _< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "k" > range< / span > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-40" name = "__codelineno-4-40" href = "#__codelineno-4-40" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "p" > > < / span > < span class = "w" > < / span > < span class = "nx" > max< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-41" name = "__codelineno-4-41" href = "#__codelineno-4-41" > < / a > < span class = "w" > < / span > < span class = "nx" > max< / span > < span class = "w" > < / span > < span class = "p" > =< / span > < span class = "w" > < / span > < span class = "nx" > num< / span >
< a id = "__codelineno-4-42" name = "__codelineno-4-42" href = "#__codelineno-4-42" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-4-43" name = "__codelineno-4-43" href = "#__codelineno-4-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-4-44" name = "__codelineno-4-44" href = "#__codelineno-4-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-4-45" name = "__codelineno-4-45" href = "#__codelineno-4-45" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "o" > :=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > max< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-4-46" name = "__codelineno-4-46" href = "#__codelineno-4-46" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-4-47" name = "__codelineno-4-47" href = "#__codelineno-4-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-4-48" name = "__codelineno-4-48" href = "#__codelineno-4-48" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-4-49" name = "__codelineno-4-49" href = "#__codelineno-4-49" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-4-50" name = "__codelineno-4-50" href = "#__codelineno-4-50" > < / a > < span class = "w" > < / span > < span class = "nx" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-4-51" name = "__codelineno-4-51" href = "#__codelineno-4-51" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-4-52" name = "__codelineno-4-52" href = "#__codelineno-4-52" > < / a > < span class = "p" > }< / span >
2023-03-26 22:05:43 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.swift< / span > < pre > < span > < / span > < code > < a id = "__codelineno-5-1" name = "__codelineno-5-1" href = "#__codelineno-5-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / span >
< a id = "__codelineno-5-2" name = "__codelineno-5-2" href = "#__codelineno-5-2" > < / a > < span class = "kd" > func< / span > < span class = "nf" > digit< / 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 = "n" > exp< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > -> < / span > < span class = "nb" > Int< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-3" name = "__codelineno-5-3" href = "#__codelineno-5-3" > < / a > < span class = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-5-4" name = "__codelineno-5-4" href = "#__codelineno-5-4" > < / a > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "o" > /< / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "o" > %< / span > < span class = "mi" > 10< / span >
< a id = "__codelineno-5-5" name = "__codelineno-5-5" href = "#__codelineno-5-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-6" name = "__codelineno-5-6" href = "#__codelineno-5-6" > < / a >
< a id = "__codelineno-5-7" name = "__codelineno-5-7" href = "#__codelineno-5-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-5-8" name = "__codelineno-5-8" href = "#__codelineno-5-8" > < / a > < span class = "kd" > func< / span > < span class = "nf" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > :< / span > < span class = "kr" > inout< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ],< / span > < span class = "n" > exp< / span > < span class = "p" > :< / span > < span class = "nb" > Int< / span > < span class = "p" > )< / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-5-9" name = "__codelineno-5-9" href = "#__codelineno-5-9" > < / a > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-5-10" name = "__codelineno-5-10" href = "#__codelineno-5-10" > < / a > < span class = "kd" > var< / span > < span class = "nv" > counter< / span > < span class = "p" > =< / span > < span class = "nb" > Array< / span > < span class = "p" > (< / span > < span class = "n" > repeating< / span > < span class = "p" > :< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "bp" > count< / span > < span class = "p" > :< / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span >
2024-03-21 04:22:16 +08:00
< a id = "__codelineno-5-11" name = "__codelineno-5-11" href = "#__codelineno-5-11" > < / a > < span class = "c1" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-5-12" name = "__codelineno-5-12" href = "#__codelineno-5-12" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "k" > in< / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "bp" > indices< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-13" name = "__codelineno-5-13" href = "#__codelineno-5-13" > < / a > < span class = "kd" > let< / span > < span class = "nv" > d< / span > < span class = "p" > =< / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "n" > exp< / span > < span class = "p" > :< / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-5-14" name = "__codelineno-5-14" href = "#__codelineno-5-14" > < / a > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > +=< / span > < span class = "mi" > 1< / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-5-15" name = "__codelineno-5-15" href = "#__codelineno-5-15" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-16" name = "__codelineno-5-16" href = "#__codelineno-5-16" > < / a > < span class = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-5-17" name = "__codelineno-5-17" href = "#__codelineno-5-17" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "k" > in< / span > < span class = "mi" > 1< / span > < span class = "p" > ..< / span > < span class = "o" > < < / span > < span class = "mi" > 10< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-18" name = "__codelineno-5-18" href = "#__codelineno-5-18" > < / a > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "o" > +=< / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-5-19" name = "__codelineno-5-19" href = "#__codelineno-5-19" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-20" name = "__codelineno-5-20" href = "#__codelineno-5-20" > < / a > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-5-21" name = "__codelineno-5-21" href = "#__codelineno-5-21" > < / a > < span class = "kd" > var< / span > < span class = "nv" > res< / span > < span class = "p" > =< / span > < span class = "nb" > Array< / span > < span class = "p" > (< / span > < span class = "n" > repeating< / span > < span class = "p" > :< / span > < span class = "mi" > 0< / span > < span class = "p" > ,< / span > < span class = "bp" > count< / span > < span class = "p" > :< / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "bp" > count< / span > < span class = "p" > )< / span >
< a id = "__codelineno-5-22" name = "__codelineno-5-22" href = "#__codelineno-5-22" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "k" > in< / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "bp" > indices< / span > < span class = "p" > .< / span > < span class = "n" > reversed< / span > < span class = "p" > ()< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-23" name = "__codelineno-5-23" href = "#__codelineno-5-23" > < / a > < span class = "kd" > let< / span > < span class = "nv" > d< / span > < span class = "p" > =< / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "n" > exp< / span > < span class = "p" > :< / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-5-24" name = "__codelineno-5-24" href = "#__codelineno-5-24" > < / a > < span class = "kd" > let< / span > < span class = "nv" > j< / span > < span class = "p" > =< / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > -< / span > < span class = "mi" > 1< / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-5-25" name = "__codelineno-5-25" href = "#__codelineno-5-25" > < / a > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > j< / span > < span class = "p" > ]< / span > < span class = "p" > =< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-5-26" name = "__codelineno-5-26" href = "#__codelineno-5-26" > < / a > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > -=< / span > < span class = "mi" > 1< / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-5-27" name = "__codelineno-5-27" href = "#__codelineno-5-27" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-28" name = "__codelineno-5-28" href = "#__codelineno-5-28" > < / a > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-5-29" name = "__codelineno-5-29" href = "#__codelineno-5-29" > < / a > < span class = "k" > for< / span > < span class = "n" > i< / span > < span class = "k" > in< / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "bp" > indices< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-30" name = "__codelineno-5-30" href = "#__codelineno-5-30" > < / a > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "p" > =< / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span >
< a id = "__codelineno-5-31" name = "__codelineno-5-31" href = "#__codelineno-5-31" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-32" name = "__codelineno-5-32" href = "#__codelineno-5-32" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-33" name = "__codelineno-5-33" href = "#__codelineno-5-33" > < / a >
< a id = "__codelineno-5-34" name = "__codelineno-5-34" href = "#__codelineno-5-34" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-5-35" name = "__codelineno-5-35" href = "#__codelineno-5-35" > < / a > < span class = "kd" > func< / span > < span class = "nf" > radixSort< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > :< / span > < span class = "kr" > inout< / span > < span class = "p" > [< / span > < span class = "nb" > Int< / span > < span class = "p" > ])< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-36" name = "__codelineno-5-36" href = "#__codelineno-5-36" > < / a > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-5-37" name = "__codelineno-5-37" href = "#__codelineno-5-37" > < / a > < span class = "kd" > var< / span > < span class = "nv" > m< / span > < span class = "p" > =< / span > < span class = "nb" > Int< / span > < span class = "p" > .< / span > < span class = "bp" > min< / span >
< a id = "__codelineno-5-38" name = "__codelineno-5-38" href = "#__codelineno-5-38" > < / a > < span class = "k" > for< / span > < span class = "n" > num< / span > < span class = "k" > in< / span > < span class = "n" > nums< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-39" name = "__codelineno-5-39" href = "#__codelineno-5-39" > < / a > < span class = "k" > if< / span > < span class = "n" > num< / span > < span class = "o" > > < / span > < span class = "n" > m< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-40" name = "__codelineno-5-40" href = "#__codelineno-5-40" > < / a > < span class = "n" > m< / span > < span class = "p" > =< / span > < span class = "n" > num< / span >
< a id = "__codelineno-5-41" name = "__codelineno-5-41" href = "#__codelineno-5-41" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-42" name = "__codelineno-5-42" href = "#__codelineno-5-42" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-43" name = "__codelineno-5-43" href = "#__codelineno-5-43" > < / a > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-5-44" name = "__codelineno-5-44" href = "#__codelineno-5-44" > < / a > < span class = "k" > for< / span > < span class = "n" > exp< / span > < span class = "k" > in< / span > < span class = "n" > sequence< / span > < span class = "p" > (< / span > < span class = "bp" > first< / span > < span class = "p" > :< / span > < span class = "mi" > 1< / span > < span class = "p" > ,< / span > < span class = "n" > next< / span > < span class = "p" > :< / span > < span class = "p" > {< / span > < span class = "n" > m< / span > < span class = "o" > > =< / span > < span class = "p" > (< / span > < span class = "nv" > $0< / span > < span class = "o" > *< / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span > < span class = "p" > ?< / span > < span class = "nv" > $0< / span > < span class = "o" > *< / span > < span class = "mi" > 10< / span > < span class = "p" > :< / span > < span class = "kc" > nil< / span > < span class = "p" > })< / span > < span class = "p" > {< / span >
< a id = "__codelineno-5-45" name = "__codelineno-5-45" href = "#__codelineno-5-45" > < / a > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-5-46" name = "__codelineno-5-46" href = "#__codelineno-5-46" > < / a > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-5-47" name = "__codelineno-5-47" href = "#__codelineno-5-47" > < / a > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-5-48" name = "__codelineno-5-48" href = "#__codelineno-5-48" > < / a > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-5-49" name = "__codelineno-5-49" href = "#__codelineno-5-49" > < / a > < span class = "n" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > :< / span > < span class = "p" > & < / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "n" > exp< / span > < span class = "p" > :< / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-5-50" name = "__codelineno-5-50" href = "#__codelineno-5-50" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-5-51" name = "__codelineno-5-51" href = "#__codelineno-5-51" > < / a > < span class = "p" > }< / span >
2023-03-26 22:05:43 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.js< / span > < pre > < span > < / span > < code > < a id = "__codelineno-6-1" name = "__codelineno-6-1" href = "#__codelineno-6-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / span >
< a id = "__codelineno-6-2" name = "__codelineno-6-2" href = "#__codelineno-6-2" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > digit< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > exp< / 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 = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-6-4" name = "__codelineno-6-4" href = "#__codelineno-6-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nb" > Math< / span > < span class = "p" > .< / span > < span class = "nx" > floor< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "mf" > 10< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-5" name = "__codelineno-6-5" href = "#__codelineno-6-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-6-6" name = "__codelineno-6-6" href = "#__codelineno-6-6" > < / a >
< a id = "__codelineno-6-7" name = "__codelineno-6-7" href = "#__codelineno-6-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-6-8" name = "__codelineno-6-8" href = "#__codelineno-6-8" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-6-9" name = "__codelineno-6-9" href = "#__codelineno-6-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-6-10" name = "__codelineno-6-10" href = "#__codelineno-6-10" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nb" > Array< / span > < span class = "p" > (< / span > < span class = "mf" > 10< / span > < span class = "p" > ).< / span > < span class = "nx" > fill< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > );< / span >
< a id = "__codelineno-6-11" name = "__codelineno-6-11" href = "#__codelineno-6-11" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > .< / span > < span class = "nx" > length< / 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 = "c1" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-6-13" name = "__codelineno-6-13" href = "#__codelineno-6-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-14" name = "__codelineno-6-14" href = "#__codelineno-6-14" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > digit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-6-15" name = "__codelineno-6-15" href = "#__codelineno-6-15" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > d< / span > < span class = "p" > ]< / span > < span class = "o" > ++< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-6-16" name = "__codelineno-6-16" href = "#__codelineno-6-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-17" name = "__codelineno-6-17" href = "#__codelineno-6-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-6-18" name = "__codelineno-6-18" href = "#__codelineno-6-18" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mf" > 10< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-19" name = "__codelineno-6-19" href = "#__codelineno-6-19" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-6-20" name = "__codelineno-6-20" href = "#__codelineno-6-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-21" name = "__codelineno-6-21" href = "#__codelineno-6-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-6-22" name = "__codelineno-6-22" href = "#__codelineno-6-22" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nb" > Array< / span > < span class = "p" > (< / span > < span class = "nx" > n< / span > < span class = "p" > ).< / span > < span class = "nx" > fill< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > );< / span >
< a id = "__codelineno-6-23" name = "__codelineno-6-23" href = "#__codelineno-6-23" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > --< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-24" name = "__codelineno-6-24" href = "#__codelineno-6-24" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > digit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-6-25" name = "__codelineno-6-25" href = "#__codelineno-6-25" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-6-26" name = "__codelineno-6-26" href = "#__codelineno-6-26" > < / a > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > [< / span > < span class = "nx" > j< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ];< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-6-27" name = "__codelineno-6-27" href = "#__codelineno-6-27" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > d< / span > < span class = "p" > ]< / span > < span class = "o" > --< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-6-28" name = "__codelineno-6-28" href = "#__codelineno-6-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-29" name = "__codelineno-6-29" href = "#__codelineno-6-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-6-30" name = "__codelineno-6-30" href = "#__codelineno-6-30" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-31" name = "__codelineno-6-31" href = "#__codelineno-6-31" > < / a > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-6-32" name = "__codelineno-6-32" href = "#__codelineno-6-32" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-33" name = "__codelineno-6-33" href = "#__codelineno-6-33" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-6-34" name = "__codelineno-6-34" href = "#__codelineno-6-34" > < / a >
< a id = "__codelineno-6-35" name = "__codelineno-6-35" href = "#__codelineno-6-35" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-6-36" name = "__codelineno-6-36" href = "#__codelineno-6-36" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > radixSort< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-37" name = "__codelineno-6-37" href = "#__codelineno-6-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-6-38" name = "__codelineno-6-38" href = "#__codelineno-6-38" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > Number< / span > < span class = "p" > .< / span > < span class = "nx" > MIN_VALUE< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-39" name = "__codelineno-6-39" href = "#__codelineno-6-39" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "k" > of< / span > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-40" name = "__codelineno-6-40" href = "#__codelineno-6-40" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nx" > m< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-41" name = "__codelineno-6-41" href = "#__codelineno-6-41" > < / a > < span class = "w" > < / span > < span class = "nx" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-6-42" name = "__codelineno-6-42" href = "#__codelineno-6-42" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-43" name = "__codelineno-6-43" href = "#__codelineno-6-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-44" name = "__codelineno-6-44" href = "#__codelineno-6-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-6-45" name = "__codelineno-6-45" href = "#__codelineno-6-45" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "nx" > m< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "mf" > 10< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-6-46" name = "__codelineno-6-46" href = "#__codelineno-6-46" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-6-47" name = "__codelineno-6-47" href = "#__codelineno-6-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-6-48" name = "__codelineno-6-48" href = "#__codelineno-6-48" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-6-49" name = "__codelineno-6-49" href = "#__codelineno-6-49" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-6-50" name = "__codelineno-6-50" href = "#__codelineno-6-50" > < / a > < span class = "w" > < / span > < span class = "nx" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-6-51" name = "__codelineno-6-51" href = "#__codelineno-6-51" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-6-52" name = "__codelineno-6-52" href = "#__codelineno-6-52" > < / a > < span class = "p" > }< / span >
2023-03-26 22:05:43 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.ts< / span > < pre > < span > < / span > < code > < a id = "__codelineno-7-1" name = "__codelineno-7-1" href = "#__codelineno-7-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / span >
< a id = "__codelineno-7-2" name = "__codelineno-7-2" href = "#__codelineno-7-2" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > digit< / 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 = "w" > < / span > < span class = "nx" > exp< / 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 = "kt" > number< / 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 = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-7-4" name = "__codelineno-7-4" href = "#__codelineno-7-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nb" > Math< / span > < span class = "p" > .< / span > < span class = "nx" > floor< / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "mf" > 10< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-5" name = "__codelineno-7-5" href = "#__codelineno-7-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-7-6" name = "__codelineno-7-6" href = "#__codelineno-7-6" > < / a >
< a id = "__codelineno-7-7" name = "__codelineno-7-7" href = "#__codelineno-7-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-7-8" name = "__codelineno-7-8" href = "#__codelineno-7-8" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > number< / span > < span class = "p" > [],< / span > < span class = "w" > < / span > < span class = "nx" > exp< / 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 >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-7-9" name = "__codelineno-7-9" href = "#__codelineno-7-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-7-10" name = "__codelineno-7-10" href = "#__codelineno-7-10" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nb" > Array< / span > < span class = "p" > (< / span > < span class = "mf" > 10< / span > < span class = "p" > ).< / span > < span class = "nx" > fill< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > );< / span >
< a id = "__codelineno-7-11" name = "__codelineno-7-11" href = "#__codelineno-7-11" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > .< / span > < span class = "nx" > length< / 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 = "c1" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-7-13" name = "__codelineno-7-13" href = "#__codelineno-7-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-14" name = "__codelineno-7-14" href = "#__codelineno-7-14" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > digit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-7-15" name = "__codelineno-7-15" href = "#__codelineno-7-15" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > d< / span > < span class = "p" > ]< / span > < span class = "o" > ++< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-7-16" name = "__codelineno-7-16" href = "#__codelineno-7-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-7-17" name = "__codelineno-7-17" href = "#__codelineno-7-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-7-18" name = "__codelineno-7-18" href = "#__codelineno-7-18" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mf" > 10< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-19" name = "__codelineno-7-19" href = "#__codelineno-7-19" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-7-20" name = "__codelineno-7-20" href = "#__codelineno-7-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-7-21" name = "__codelineno-7-21" href = "#__codelineno-7-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-7-22" name = "__codelineno-7-22" href = "#__codelineno-7-22" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "ow" > new< / span > < span class = "w" > < / span > < span class = "nb" > Array< / span > < span class = "p" > (< / span > < span class = "nx" > n< / span > < span class = "p" > ).< / span > < span class = "nx" > fill< / span > < span class = "p" > (< / span > < span class = "mf" > 0< / span > < span class = "p" > );< / span >
< a id = "__codelineno-7-23" name = "__codelineno-7-23" href = "#__codelineno-7-23" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > --< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-24" name = "__codelineno-7-24" href = "#__codelineno-7-24" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > digit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-7-25" name = "__codelineno-7-25" href = "#__codelineno-7-25" > < / a > < span class = "w" > < / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-7-26" name = "__codelineno-7-26" href = "#__codelineno-7-26" > < / a > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > [< / span > < span class = "nx" > j< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ];< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-7-27" name = "__codelineno-7-27" href = "#__codelineno-7-27" > < / a > < span class = "w" > < / span > < span class = "nx" > counter< / span > < span class = "p" > [< / span > < span class = "nx" > d< / span > < span class = "p" > ]< / span > < span class = "o" > --< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-7-28" name = "__codelineno-7-28" href = "#__codelineno-7-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-7-29" name = "__codelineno-7-29" href = "#__codelineno-7-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-7-30" name = "__codelineno-7-30" href = "#__codelineno-7-30" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "nx" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-31" name = "__codelineno-7-31" href = "#__codelineno-7-31" > < / a > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > res< / span > < span class = "p" > [< / span > < span class = "nx" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-7-32" name = "__codelineno-7-32" href = "#__codelineno-7-32" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-7-33" name = "__codelineno-7-33" href = "#__codelineno-7-33" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-7-34" name = "__codelineno-7-34" href = "#__codelineno-7-34" > < / a >
< a id = "__codelineno-7-35" name = "__codelineno-7-35" href = "#__codelineno-7-35" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-7-36" name = "__codelineno-7-36" href = "#__codelineno-7-36" > < / a > < span class = "kd" > function< / span > < span class = "w" > < / span > < span class = "nx" > radixSort< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / 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-7-37" name = "__codelineno-7-37" href = "#__codelineno-7-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-7-38" name = "__codelineno-7-38" href = "#__codelineno-7-38" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > Number< / span > < span class = "p" > .< / span > < span class = "nx" > MIN_VALUE< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-39" name = "__codelineno-7-39" href = "#__codelineno-7-39" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > const< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "k" > of< / span > < span class = "w" > < / span > < span class = "nx" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-40" name = "__codelineno-7-40" href = "#__codelineno-7-40" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "nx" > num< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "nx" > m< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-41" name = "__codelineno-7-41" href = "#__codelineno-7-41" > < / a > < span class = "w" > < / span > < span class = "nx" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nx" > num< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-7-42" name = "__codelineno-7-42" href = "#__codelineno-7-42" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-7-43" name = "__codelineno-7-43" href = "#__codelineno-7-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-7-44" name = "__codelineno-7-44" href = "#__codelineno-7-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-7-45" name = "__codelineno-7-45" href = "#__codelineno-7-45" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mf" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "nx" > m< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "mf" > 10< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-7-46" name = "__codelineno-7-46" href = "#__codelineno-7-46" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-7-47" name = "__codelineno-7-47" href = "#__codelineno-7-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-7-48" name = "__codelineno-7-48" href = "#__codelineno-7-48" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-7-49" name = "__codelineno-7-49" href = "#__codelineno-7-49" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-7-50" name = "__codelineno-7-50" href = "#__codelineno-7-50" > < / a > < span class = "w" > < / span > < span class = "nx" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "nx" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "nx" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-7-51" name = "__codelineno-7-51" href = "#__codelineno-7-51" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-7-52" name = "__codelineno-7-52" href = "#__codelineno-7-52" > < / a > < span class = "p" > }< / span >
2023-03-26 22:05:43 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-11-17 00:35:25 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.dart< / span > < pre > < span > < / span > < code > < a id = "__codelineno-8-1" name = "__codelineno-8-1" href = "#__codelineno-8-1" > < / a > < span class = "cm" > /* 获取元素 _num 的第 k 位，其中 exp = 10^(k-1) */< / span >
< a id = "__codelineno-8-2" name = "__codelineno-8-2" href = "#__codelineno-8-2" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > digit< / 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 = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / 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 = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-8-4" name = "__codelineno-8-4" href = "#__codelineno-8-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > _num< / span > < span class = "w" > < / span > < span class = "o" > ~/< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "m" > 10< / span > < span class = "p" > ;< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-8-5" name = "__codelineno-8-5" href = "#__codelineno-8-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-8-6" name = "__codelineno-8-6" href = "#__codelineno-8-6" > < / a >
< a id = "__codelineno-8-7" name = "__codelineno-8-7" href = "#__codelineno-8-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-8-8" name = "__codelineno-8-8" href = "#__codelineno-8-8" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "n" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-8-9" name = "__codelineno-8-9" href = "#__codelineno-8-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-8-10" name = "__codelineno-8-10" href = "#__codelineno-8-10" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "p" > .< / span > < span class = "n" > filled< / span > < span class = "p" > (< / span > < span class = "m" > 10< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > );< / span >
< a id = "__codelineno-8-11" name = "__codelineno-8-11" href = "#__codelineno-8-11" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "n" > length< / 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" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-8-13" name = "__codelineno-8-13" href = "#__codelineno-8-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-8-14" name = "__codelineno-8-14" href = "#__codelineno-8-14" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-8-15" name = "__codelineno-8-15" href = "#__codelineno-8-15" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > ++< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-8-16" name = "__codelineno-8-16" href = "#__codelineno-8-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-8-17" name = "__codelineno-8-17" href = "#__codelineno-8-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-8-18" name = "__codelineno-8-18" href = "#__codelineno-8-18" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "m" > 10< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-8-19" name = "__codelineno-8-19" href = "#__codelineno-8-19" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-8-20" name = "__codelineno-8-20" href = "#__codelineno-8-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-8-21" name = "__codelineno-8-21" href = "#__codelineno-8-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-8-22" name = "__codelineno-8-22" href = "#__codelineno-8-22" > < / a > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "p" > .< / span > < span class = "n" > filled< / span > < span class = "p" > (< / span > < span class = "n" > n< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > );< / span >
< a id = "__codelineno-8-23" name = "__codelineno-8-23" href = "#__codelineno-8-23" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > --< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-8-24" name = "__codelineno-8-24" href = "#__codelineno-8-24" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-8-25" name = "__codelineno-8-25" href = "#__codelineno-8-25" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-8-26" name = "__codelineno-8-26" href = "#__codelineno-8-26" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > j< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-8-27" name = "__codelineno-8-27" href = "#__codelineno-8-27" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > --< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-8-28" name = "__codelineno-8-28" href = "#__codelineno-8-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-8-29" name = "__codelineno-8-29" href = "#__codelineno-8-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-8-30" name = "__codelineno-8-30" href = "#__codelineno-8-30" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-8-31" name = "__codelineno-8-31" href = "#__codelineno-8-31" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-8-32" name = "__codelineno-8-32" href = "#__codelineno-8-32" > < / a >
< a id = "__codelineno-8-33" name = "__codelineno-8-33" href = "#__codelineno-8-33" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-8-34" name = "__codelineno-8-34" href = "#__codelineno-8-34" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "n" > radixSort< / span > < span class = "p" > (< / span > < span class = "n" > List< / span > < span class = "o" > < < / span > < span class = "kt" > int< / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-8-35" name = "__codelineno-8-35" href = "#__codelineno-8-35" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-8-36" name = "__codelineno-8-36" href = "#__codelineno-8-36" > < / a > < span class = "w" > < / span > < span class = "c1" > // dart 中 int 的长度是 64 位的< / span >
< a id = "__codelineno-8-37" name = "__codelineno-8-37" href = "#__codelineno-8-37" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "m" > 1< / span > < span class = "w" > < / span > < span class = "o" > < < < / span > < span class = "w" > < / span > < span class = "m" > 63< / span > < span class = "p" > ;< / span >
2023-11-17 00:35:25 +08:00
< a id = "__codelineno-8-38" name = "__codelineno-8-38" href = "#__codelineno-8-38" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > _num< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > _num< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "n" > m< / 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-8-39" name = "__codelineno-8-39" href = "#__codelineno-8-39" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-8-40" name = "__codelineno-8-40" href = "#__codelineno-8-40" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "m" > 10< / span > < span class = "p" > )< / span >
< a id = "__codelineno-8-41" name = "__codelineno-8-41" href = "#__codelineno-8-41" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-8-42" name = "__codelineno-8-42" href = "#__codelineno-8-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-8-43" name = "__codelineno-8-43" href = "#__codelineno-8-43" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-8-44" name = "__codelineno-8-44" href = "#__codelineno-8-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-8-45" name = "__codelineno-8-45" href = "#__codelineno-8-45" > < / a > < span class = "w" > < / span > < span class = "n" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-8-46" name = "__codelineno-8-46" href = "#__codelineno-8-46" > < / a > < span class = "p" > }< / span >
2023-03-26 22:05:43 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2023-10-06 14:10:31 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.rs< / span > < pre > < span > < / span > < code > < a id = "__codelineno-9-1" name = "__codelineno-9-1" href = "#__codelineno-9-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / span >
< a id = "__codelineno-9-2" name = "__codelineno-9-2" href = "#__codelineno-9-2" > < / a > < span class = "k" > fn< / span > < span class = "nf" > digit< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > : < span class = "kt" > i32< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > : < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > -> < span class = "kt" > usize< / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-3" name = "__codelineno-9-3" href = "#__codelineno-9-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-9-4" name = "__codelineno-9-4" href = "#__codelineno-9-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > ((< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > as< / span > < span class = "w" > < / span > < span class = "kt" > usize< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-9-5" name = "__codelineno-9-5" href = "#__codelineno-9-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-9-6" name = "__codelineno-9-6" href = "#__codelineno-9-6" > < / a >
< a id = "__codelineno-9-7" name = "__codelineno-9-7" href = "#__codelineno-9-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-9-8" name = "__codelineno-9-8" href = "#__codelineno-9-8" > < / a > < span class = "k" > fn< / span > < span class = "nf" > counting_sort_digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > : < span class = "kp" > & < / span > < span class = "nc" > mut< / span > < span class = "w" > < / span > < span class = "p" > [< / span > < span class = "kt" > i32< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > : < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-9-9" name = "__codelineno-9-9" href = "#__codelineno-9-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-9-10" name = "__codelineno-9-10" href = "#__codelineno-9-10" > < / 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" > counter< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > [< / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "mi" > 10< / 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 = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "n" > len< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-9-12" name = "__codelineno-9-12" href = "#__codelineno-9-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-9-13" name = "__codelineno-9-13" href = "#__codelineno-9-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "o" > ..< / span > < span class = "n" > n< / span > < 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 = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-9-15" name = "__codelineno-9-15" href = "#__codelineno-9-15" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-9-16" name = "__codelineno-9-16" href = "#__codelineno-9-16" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-9-17" name = "__codelineno-9-17" href = "#__codelineno-9-17" > < / a > < span class = "w" > < / span > < span class = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-9-18" name = "__codelineno-9-18" href = "#__codelineno-9-18" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "o" > ..< / span > < span class = "mi" > 10< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-19" name = "__codelineno-9-19" href = "#__codelineno-9-19" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-9-20" name = "__codelineno-9-20" href = "#__codelineno-9-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-9-21" name = "__codelineno-9-21" href = "#__codelineno-9-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-9-22" name = "__codelineno-9-22" href = "#__codelineno-9-22" > < / 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" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "fm" > vec!< / span > < span class = "p" > [< / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-9-23" name = "__codelineno-9-23" href = "#__codelineno-9-23" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "o" > ..< / span > < span class = "n" > n< / span > < span class = "p" > ).< / span > < span class = "n" > rev< / span > < span class = "p" > ()< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-24" name = "__codelineno-9-24" href = "#__codelineno-9-24" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-9-25" name = "__codelineno-9-25" href = "#__codelineno-9-25" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-9-26" name = "__codelineno-9-26" href = "#__codelineno-9-26" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > j< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-9-27" name = "__codelineno-9-27" href = "#__codelineno-9-27" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-9-28" name = "__codelineno-9-28" href = "#__codelineno-9-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-9-29" name = "__codelineno-9-29" href = "#__codelineno-9-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-9-30" name = "__codelineno-9-30" href = "#__codelineno-9-30" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "o" > ..< / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-31" name = "__codelineno-9-31" href = "#__codelineno-9-31" > < / a > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-9-32" name = "__codelineno-9-32" href = "#__codelineno-9-32" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-9-33" name = "__codelineno-9-33" href = "#__codelineno-9-33" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-9-34" name = "__codelineno-9-34" href = "#__codelineno-9-34" > < / a >
< a id = "__codelineno-9-35" name = "__codelineno-9-35" href = "#__codelineno-9-35" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-9-36" name = "__codelineno-9-36" href = "#__codelineno-9-36" > < / a > < span class = "k" > fn< / span > < span class = "nf" > radix_sort< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > : < span class = "kp" > & < / span > < span class = "nc" > mut< / span > < span class = "w" > < / span > < span class = "p" > [< / span > < span class = "kt" > i32< / span > < span class = "p" > ])< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-37" name = "__codelineno-9-37" href = "#__codelineno-9-37" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-9-38" name = "__codelineno-9-38" href = "#__codelineno-9-38" > < / a > < span class = "w" > < / span > < span class = "kd" > let< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "n" > into_iter< / span > < span class = "p" > ().< / span > < span class = "n" > max< / span > < span class = "p" > ().< / span > < span class = "n" > unwrap< / span > < span class = "p" > ();< / span >
< a id = "__codelineno-9-39" name = "__codelineno-9-39" href = "#__codelineno-9-39" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-9-40" name = "__codelineno-9-40" href = "#__codelineno-9-40" > < / 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" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-9-41" name = "__codelineno-9-41" href = "#__codelineno-9-41" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-9-42" name = "__codelineno-9-42" href = "#__codelineno-9-42" > < / a > < span class = "w" > < / span > < span class = "n" > counting_sort_digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-9-43" name = "__codelineno-9-43" href = "#__codelineno-9-43" > < / a > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-9-44" name = "__codelineno-9-44" href = "#__codelineno-9-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-9-45" name = "__codelineno-9-45" href = "#__codelineno-9-45" > < / a > < span class = "p" > }< / span >
2023-03-26 22:05:43 +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" > radix_sort.c< / span > < pre > < span > < / span > < code > < a id = "__codelineno-10-1" name = "__codelineno-10-1" href = "#__codelineno-10-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / span >
< a id = "__codelineno-10-2" name = "__codelineno-10-2" href = "#__codelineno-10-2" > < / a > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "nf" > digit< / 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 = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-3" name = "__codelineno-10-3" href = "#__codelineno-10-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-10-4" name = "__codelineno-10-4" href = "#__codelineno-10-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-10-5" name = "__codelineno-10-5" href = "#__codelineno-10-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-10-6" name = "__codelineno-10-6" href = "#__codelineno-10-6" > < / a >
< a id = "__codelineno-10-7" name = "__codelineno-10-7" href = "#__codelineno-10-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-10-8" name = "__codelineno-10-8" href = "#__codelineno-10-8" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [],< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-10-9" name = "__codelineno-10-9" href = "#__codelineno-10-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-10-10" name = "__codelineno-10-10" href = "#__codelineno-10-10" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > counter< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "p" > )< / span > < span class = "n" > malloc< / span > < span class = "p" > ((< / span > < span class = "k" > sizeof< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-10-11" name = "__codelineno-10-11" href = "#__codelineno-10-11" > < / a > < span class = "w" > < / span > < span class = "c1" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-10-12" name = "__codelineno-10-12" href = "#__codelineno-10-12" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / 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" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-10-14" name = "__codelineno-10-14" href = "#__codelineno-10-14" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / 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 = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-10-16" name = "__codelineno-10-16" href = "#__codelineno-10-16" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > ++< / 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 = "p" > }< / span >
< a id = "__codelineno-10-18" name = "__codelineno-10-18" href = "#__codelineno-10-18" > < / a > < span class = "w" > < / span > < span class = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-10-19" name = "__codelineno-10-19" href = "#__codelineno-10-19" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-20" name = "__codelineno-10-20" href = "#__codelineno-10-20" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-10-21" name = "__codelineno-10-21" href = "#__codelineno-10-21" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-10-22" name = "__codelineno-10-22" href = "#__codelineno-10-22" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-10-23" name = "__codelineno-10-23" href = "#__codelineno-10-23" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "p" > )< / span > < span class = "n" > malloc< / span > < span class = "p" > (< / span > < span class = "k" > sizeof< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > *< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > );< / span >
< a id = "__codelineno-10-24" name = "__codelineno-10-24" href = "#__codelineno-10-24" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > --< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-25" name = "__codelineno-10-25" href = "#__codelineno-10-25" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-10-26" name = "__codelineno-10-26" href = "#__codelineno-10-26" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-10-27" name = "__codelineno-10-27" href = "#__codelineno-10-27" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > j< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-10-28" name = "__codelineno-10-28" href = "#__codelineno-10-28" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "o" > --< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-10-29" name = "__codelineno-10-29" href = "#__codelineno-10-29" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-10-30" name = "__codelineno-10-30" href = "#__codelineno-10-30" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-10-31" name = "__codelineno-10-31" href = "#__codelineno-10-31" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-32" name = "__codelineno-10-32" href = "#__codelineno-10-32" > < / a > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-10-33" name = "__codelineno-10-33" href = "#__codelineno-10-33" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-10-34" name = "__codelineno-10-34" href = "#__codelineno-10-34" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-10-35" name = "__codelineno-10-35" href = "#__codelineno-10-35" > < / a >
< a id = "__codelineno-10-36" name = "__codelineno-10-36" href = "#__codelineno-10-36" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-10-37" name = "__codelineno-10-37" href = "#__codelineno-10-37" > < / a > < span class = "kt" > void< / span > < span class = "w" > < / span > < span class = "nf" > radixSort< / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [],< / span > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-38" name = "__codelineno-10-38" href = "#__codelineno-10-38" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-10-39" name = "__codelineno-10-39" href = "#__codelineno-10-39" > < / a > < span class = "w" > < / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > max< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > INT32_MIN< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-10-40" name = "__codelineno-10-40" href = "#__codelineno-10-40" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > size_t< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > ++< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-41" name = "__codelineno-10-41" href = "#__codelineno-10-41" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > max< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-10-42" name = "__codelineno-10-42" href = "#__codelineno-10-42" > < / a > < span class = "w" > < / span > < span class = "n" > max< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-10-43" name = "__codelineno-10-43" href = "#__codelineno-10-43" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-10-44" name = "__codelineno-10-44" href = "#__codelineno-10-44" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-10-45" name = "__codelineno-10-45" href = "#__codelineno-10-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-10-46" name = "__codelineno-10-46" href = "#__codelineno-10-46" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "kt" > int< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > max< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span >
< a id = "__codelineno-10-47" name = "__codelineno-10-47" href = "#__codelineno-10-47" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-10-48" name = "__codelineno-10-48" href = "#__codelineno-10-48" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-10-49" name = "__codelineno-10-49" href = "#__codelineno-10-49" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-10-50" name = "__codelineno-10-50" href = "#__codelineno-10-50" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-10-51" name = "__codelineno-10-51" href = "#__codelineno-10-51" > < / a > < span class = "w" > < / span > < span class = "n" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > size< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span >
< a id = "__codelineno-10-52" name = "__codelineno-10-52" href = "#__codelineno-10-52" > < / 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" >
2024-03-25 22:43:19 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.kt< / span > < pre > < span > < / span > < code > < a id = "__codelineno-11-1" name = "__codelineno-11-1" href = "#__codelineno-11-1" > < / a > < span class = "cm" > /* 获取元素 num 的第 k 位，其中 exp = 10^(k-1) */< / span >
< a id = "__codelineno-11-2" name = "__codelineno-11-2" href = "#__codelineno-11-2" > < / a > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > digit< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "p" > ):< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-11-3" name = "__codelineno-11-3" href = "#__codelineno-11-3" > < / a > < span class = "w" > < / span > < span class = "c1" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
2024-03-25 22:43:19 +08:00
< a id = "__codelineno-11-4" name = "__codelineno-11-4" href = "#__codelineno-11-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "m" > 10< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-11-5" name = "__codelineno-11-5" href = "#__codelineno-11-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-11-6" name = "__codelineno-11-6" href = "#__codelineno-11-6" > < / a >
2024-03-25 22:43:19 +08:00
< a id = "__codelineno-11-7" name = "__codelineno-11-7" href = "#__codelineno-11-7" > < / a > < span class = "cm" > /* 计数排序（根据 nums 第 k 位排序） */< / span >
< a id = "__codelineno-11-8" name = "__codelineno-11-8" href = "#__codelineno-11-8" > < / a > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "n" > IntArray< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
2023-12-02 06:24:11 +08:00
< a id = "__codelineno-11-9" name = "__codelineno-11-9" href = "#__codelineno-11-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
2024-03-25 22:43:19 +08:00
< a id = "__codelineno-11-10" name = "__codelineno-11-10" href = "#__codelineno-11-10" > < / a > < span class = "w" > < / span > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > counter< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > IntArray< / span > < span class = "p" > (< / span > < span class = "m" > 10< / 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 = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "na" > size< / span >
< a id = "__codelineno-11-12" name = "__codelineno-11-12" href = "#__codelineno-11-12" > < / a > < span class = "w" > < / span > < span class = "c1" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-11-13" name = "__codelineno-11-13" href = "#__codelineno-11-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "m" > 0.< / span > < span class = "p" > .< / span > < span class = "o" > < < / span > < span class = "n" > n< / span > < span class = "p" > )< / 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 = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
2024-04-09 20:43:47 +08:00
< a id = "__codelineno-11-15" name = "__codelineno-11-15" href = "#__codelineno-11-15" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > d< / span > < span class = "o" > ]++< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
2024-03-25 22:43:19 +08:00
< 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" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-11-18" name = "__codelineno-11-18" href = "#__codelineno-11-18" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "m" > 1.< / span > < span class = "p" > .< / span > < span class = "m" > 9< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-11-19" name = "__codelineno-11-19" href = "#__codelineno-11-19" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "o" > ]< / span >
2023-10-06 14:10:31 +08:00
< a id = "__codelineno-11-20" name = "__codelineno-11-20" href = "#__codelineno-11-20" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
2024-03-25 22:43:19 +08:00
< a id = "__codelineno-11-21" name = "__codelineno-11-21" href = "#__codelineno-11-21" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-11-22" name = "__codelineno-11-22" href = "#__codelineno-11-22" > < / a > < span class = "w" > < / span > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > IntArray< / span > < span class = "p" > (< / span > < span class = "n" > n< / span > < span class = "p" > )< / span >
< a id = "__codelineno-11-23" name = "__codelineno-11-23" href = "#__codelineno-11-23" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "w" > < / span > < span class = "n" > downTo< / span > < span class = "w" > < / span > < span class = "m" > 0< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-11-24" name = "__codelineno-11-24" href = "#__codelineno-11-24" > < / a > < span class = "w" > < / span > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-11-25" name = "__codelineno-11-25" href = "#__codelineno-11-25" > < / a > < span class = "w" > < / span > < span class = "kd" > val< / span > < span class = "w" > < / span > < span class = "nv" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > d< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "m" > 1< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
2024-04-09 20:43:47 +08:00
< a id = "__codelineno-11-26" name = "__codelineno-11-26" href = "#__codelineno-11-26" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "o" > [< / span > < span class = "n" > j< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-11-27" name = "__codelineno-11-27" href = "#__codelineno-11-27" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > d< / span > < span class = "o" > ]--< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
2024-03-25 22:43:19 +08:00
< a id = "__codelineno-11-28" name = "__codelineno-11-28" href = "#__codelineno-11-28" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-11-29" name = "__codelineno-11-29" href = "#__codelineno-11-29" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
2024-04-09 20:43:47 +08:00
< a id = "__codelineno-11-30" name = "__codelineno-11-30" href = "#__codelineno-11-30" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "m" > 0.< / span > < span class = "p" > .< / span > < span class = "o" > < < / span > < span class = "n" > n< / span > < span class = "p" > )< / span >
< a id = "__codelineno-11-31" name = "__codelineno-11-31" href = "#__codelineno-11-31" > < / a > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span >
< a id = "__codelineno-11-32" name = "__codelineno-11-32" href = "#__codelineno-11-32" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-11-33" name = "__codelineno-11-33" href = "#__codelineno-11-33" > < / a >
< a id = "__codelineno-11-34" name = "__codelineno-11-34" href = "#__codelineno-11-34" > < / a > < span class = "cm" > /* 基数排序 */< / span >
< a id = "__codelineno-11-35" name = "__codelineno-11-35" href = "#__codelineno-11-35" > < / a > < span class = "kd" > fun< / span > < span class = "w" > < / span > < span class = "nf" > radixSort< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > :< / span > < span class = "w" > < / span > < span class = "n" > IntArray< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-11-36" name = "__codelineno-11-36" href = "#__codelineno-11-36" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-11-37" name = "__codelineno-11-37" href = "#__codelineno-11-37" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nv" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "kt" > Int< / span > < span class = "p" > .< / span > < span class = "na" > MIN_VALUE< / span >
< a id = "__codelineno-11-38" name = "__codelineno-11-38" href = "#__codelineno-11-38" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > num< / span >
< a id = "__codelineno-11-39" name = "__codelineno-11-39" href = "#__codelineno-11-39" > < / a > < span class = "w" > < / span > < span class = "kd" > var< / span > < span class = "w" > < / span > < span class = "nv" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "m" > 1< / span >
< a id = "__codelineno-11-40" name = "__codelineno-11-40" href = "#__codelineno-11-40" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-11-41" name = "__codelineno-11-41" href = "#__codelineno-11-41" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-11-42" name = "__codelineno-11-42" href = "#__codelineno-11-42" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-11-43" name = "__codelineno-11-43" href = "#__codelineno-11-43" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-11-44" name = "__codelineno-11-44" href = "#__codelineno-11-44" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-11-45" name = "__codelineno-11-45" href = "#__codelineno-11-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-11-46" name = "__codelineno-11-46" href = "#__codelineno-11-46" > < / a > < span class = "w" > < / span > < span class = "n" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-11-47" name = "__codelineno-11-47" href = "#__codelineno-11-47" > < / a > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "m" > 10< / span >
< a id = "__codelineno-11-48" name = "__codelineno-11-48" href = "#__codelineno-11-48" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-11-49" name = "__codelineno-11-49" href = "#__codelineno-11-49" > < / a > < span class = "p" > }< / span >
2024-03-25 22:43:19 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
2024-05-04 19:57:08 +08:00
< div class = "highlight" > < span class = "filename" > radix_sort.rb< / span > < pre > < span > < / span > < code > < a id = "__codelineno-12-1" name = "__codelineno-12-1" href = "#__codelineno-12-1" > < / a > < span class = "c1" > ### 获取元素 num 的第 k 位，其中 exp = 10^(k-1) ###< / span >
< a id = "__codelineno-12-2" name = "__codelineno-12-2" href = "#__codelineno-12-2" > < / a > < span class = "k" > def< / span > < span class = "w" > < / span > < span class = "nf" > digit< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-3" name = "__codelineno-12-3" href = "#__codelineno-12-3" > < / a > < span class = "w" > < / span > < span class = "c1" > # 转入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-12-4" name = "__codelineno-12-4" href = "#__codelineno-12-4" > < / a > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > /< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > %< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span >
< a id = "__codelineno-12-5" name = "__codelineno-12-5" href = "#__codelineno-12-5" > < / a > < span class = "k" > end< / span >
< a id = "__codelineno-12-6" name = "__codelineno-12-6" href = "#__codelineno-12-6" > < / a >
< a id = "__codelineno-12-7" name = "__codelineno-12-7" href = "#__codelineno-12-7" > < / a > < span class = "c1" > ### 计数排序（根据 nums 第 k 位排序）###< / span >
< a id = "__codelineno-12-8" name = "__codelineno-12-8" href = "#__codelineno-12-8" > < / a > < span class = "k" > def< / span > < span class = "w" > < / span > < span class = "nf" > counting_sort_digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-9" name = "__codelineno-12-9" href = "#__codelineno-12-9" > < / a > < span class = "w" > < / span > < span class = "c1" > # 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
< a id = "__codelineno-12-10" name = "__codelineno-12-10" href = "#__codelineno-12-10" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > Array< / span > < span class = "o" > .< / span > < span class = "n" > new< / span > < span class = "p" > (< / span > < span class = "mi" > 10< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-11" name = "__codelineno-12-11" href = "#__codelineno-12-11" > < / a > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "o" > .< / span > < span class = "n" > length< / span >
< a id = "__codelineno-12-12" name = "__codelineno-12-12" href = "#__codelineno-12-12" > < / a > < span class = "w" > < / span > < span class = "c1" > # 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-12-13" name = "__codelineno-12-13" href = "#__codelineno-12-13" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "o" > ...< / span > < span class = "n" > n< / span >
< a id = "__codelineno-12-14" name = "__codelineno-12-14" href = "#__codelineno-12-14" > < / a > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "c1" > # 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-12-15" name = "__codelineno-12-15" href = "#__codelineno-12-15" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > d< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "w" > < / span > < span class = "c1" > # 统计数字 d 的出现次数< / span >
< a id = "__codelineno-12-16" name = "__codelineno-12-16" href = "#__codelineno-12-16" > < / a > < span class = "w" > < / span > < span class = "k" > end< / span >
< a id = "__codelineno-12-17" name = "__codelineno-12-17" href = "#__codelineno-12-17" > < / a > < span class = "w" > < / span > < span class = "c1" > # 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-12-18" name = "__codelineno-12-18" href = "#__codelineno-12-18" > < / a > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "mi" > 1< / span > < span class = "o" > ...< / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span > < span class = "o" > .< / span > < span class = "n" > each< / span > < span class = "w" > < / span > < span class = "p" > {< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "n" > i< / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-12-19" name = "__codelineno-12-19" href = "#__codelineno-12-19" > < / a > < span class = "w" > < / span > < span class = "c1" > # 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-12-20" name = "__codelineno-12-20" href = "#__codelineno-12-20" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > Array< / span > < span class = "o" > .< / span > < span class = "n" > new< / span > < span class = "p" > (< / span > < span class = "n" > n< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-21" name = "__codelineno-12-21" href = "#__codelineno-12-21" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "k" > in< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "o" > .< / span > < span class = "n" > downto< / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-22" name = "__codelineno-12-22" href = "#__codelineno-12-22" > < / a > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-23" name = "__codelineno-12-23" href = "#__codelineno-12-23" > < / a > < span class = "w" > < / span > < span class = "n" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > d< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "w" > < / span > < span class = "c1" > # 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-12-24" name = "__codelineno-12-24" href = "#__codelineno-12-24" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "o" > [< / span > < span class = "n" > j< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "c1" > # 将当前元素填入索引 j< / span >
< a id = "__codelineno-12-25" name = "__codelineno-12-25" href = "#__codelineno-12-25" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "o" > [< / span > < span class = "n" > d< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > -=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "w" > < / span > < span class = "c1" > # 将 d 的数量减 1< / span >
< a id = "__codelineno-12-26" name = "__codelineno-12-26" href = "#__codelineno-12-26" > < / a > < span class = "w" > < / span > < span class = "k" > end< / span >
< a id = "__codelineno-12-27" name = "__codelineno-12-27" href = "#__codelineno-12-27" > < / a > < span class = "w" > < / span > < span class = "c1" > # 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-12-28" name = "__codelineno-12-28" href = "#__codelineno-12-28" > < / a > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "mi" > 0< / span > < span class = "o" > ...< / span > < span class = "n" > n< / span > < span class = "p" > )< / span > < span class = "o" > .< / span > < span class = "n" > each< / span > < span class = "w" > < / span > < span class = "p" > {< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "n" > i< / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "o" > [< / span > < span class = "n" > i< / span > < span class = "o" > ]< / span > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-12-29" name = "__codelineno-12-29" href = "#__codelineno-12-29" > < / a > < span class = "k" > end< / span >
< a id = "__codelineno-12-30" name = "__codelineno-12-30" href = "#__codelineno-12-30" > < / a >
< a id = "__codelineno-12-31" name = "__codelineno-12-31" href = "#__codelineno-12-31" > < / a > < span class = "c1" > ### 基数排序 ###< / span >
< a id = "__codelineno-12-32" name = "__codelineno-12-32" href = "#__codelineno-12-32" > < / a > < span class = "k" > def< / span > < span class = "w" > < / span > < span class = "nf" > radix_sort< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-33" name = "__codelineno-12-33" href = "#__codelineno-12-33" > < / a > < span class = "w" > < / span > < span class = "c1" > # 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-12-34" name = "__codelineno-12-34" href = "#__codelineno-12-34" > < / a > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "o" > .< / span > < span class = "n" > max< / span >
< a id = "__codelineno-12-35" name = "__codelineno-12-35" href = "#__codelineno-12-35" > < / a > < span class = "w" > < / span > < span class = "c1" > # 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-12-36" name = "__codelineno-12-36" href = "#__codelineno-12-36" > < / a > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span >
< a id = "__codelineno-12-37" name = "__codelineno-12-37" href = "#__codelineno-12-37" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "n" > m< / span >
< a id = "__codelineno-12-38" name = "__codelineno-12-38" href = "#__codelineno-12-38" > < / a > < span class = "w" > < / span > < span class = "c1" > # 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-12-39" name = "__codelineno-12-39" href = "#__codelineno-12-39" > < / a > < span class = "w" > < / span > < span class = "c1" > # k = 1 -> exp = 1< / span >
< a id = "__codelineno-12-40" name = "__codelineno-12-40" href = "#__codelineno-12-40" > < / a > < span class = "w" > < / span > < span class = "c1" > # k = 2 -> exp = 10< / span >
< a id = "__codelineno-12-41" name = "__codelineno-12-41" href = "#__codelineno-12-41" > < / a > < span class = "w" > < / span > < span class = "c1" > # 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-12-42" name = "__codelineno-12-42" href = "#__codelineno-12-42" > < / a > < span class = "w" > < / span > < span class = "n" > counting_sort_digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > )< / span >
< a id = "__codelineno-12-43" name = "__codelineno-12-43" href = "#__codelineno-12-43" > < / a > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span >
< a id = "__codelineno-12-44" name = "__codelineno-12-44" href = "#__codelineno-12-44" > < / a > < span class = "w" > < / span > < span class = "k" > end< / span >
< a id = "__codelineno-12-45" name = "__codelineno-12-45" href = "#__codelineno-12-45" > < / a > < span class = "k" > end< / span >
2024-03-31 03:53:09 +08:00
< / code > < / pre > < / div >
< / div >
< div class = "tabbed-block" >
< div class = "highlight" > < span class = "filename" > radix_sort.zig< / span > < pre > < span > < / span > < code > < a id = "__codelineno-13-1" name = "__codelineno-13-1" href = "#__codelineno-13-1" > < / a > < span class = "c1" > // 获取元素 num 的第 k 位，其中 exp = 10^(k-1)< / span >
< a id = "__codelineno-13-2" name = "__codelineno-13-2" href = "#__codelineno-13-2" > < / a > < span class = "k" > fn< / span > < span class = "w" > < / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > i32< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > i32< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "kt" > i32< / 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" > // 传入 exp 而非 k 可以避免在此重复执行昂贵的次方计算< / span >
< a id = "__codelineno-13-4" name = "__codelineno-13-4" href = "#__codelineno-13-4" > < / a > < span class = "w" > < / span > < span class = "k" > return< / span > < span class = "w" > < / span > < span class = "nb" > @mod< / span > < span class = "p" > (< / span > < span class = "nb" > @divFloor< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > ),< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > );< / span >
< a id = "__codelineno-13-5" name = "__codelineno-13-5" href = "#__codelineno-13-5" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-13-6" name = "__codelineno-13-6" href = "#__codelineno-13-6" > < / a >
< a id = "__codelineno-13-7" name = "__codelineno-13-7" href = "#__codelineno-13-7" > < / a > < span class = "c1" > // 计数排序（根据 nums 第 k 位排序）< / span >
< a id = "__codelineno-13-8" name = "__codelineno-13-8" href = "#__codelineno-13-8" > < / a > < span class = "k" > fn< / span > < span class = "w" > < / span > < span class = "n" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > i32< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > i32< / 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-13-9" name = "__codelineno-13-9" href = "#__codelineno-13-9" > < / a > < span class = "w" > < / span > < span class = "c1" > // 十进制的位范围为 0~9 ，因此需要长度为 10 的桶数组< / span >
< a id = "__codelineno-13-10" name = "__codelineno-13-10" href = "#__codelineno-13-10" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > mem_arena< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > std< / span > < span class = "p" > .< / span > < span class = "n" > heap< / span > < span class = "p" > .< / span > < span class = "n" > ArenaAllocator< / span > < span class = "p" > .< / span > < span class = "n" > init< / span > < span class = "p" > (< / span > < span class = "n" > std< / span > < span class = "p" > .< / span > < span class = "n" > heap< / span > < span class = "p" > .< / span > < span class = "n" > page_allocator< / 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" > // defer mem_arena.deinit();< / span >
< a id = "__codelineno-13-12" name = "__codelineno-13-12" href = "#__codelineno-13-12" > < / a > < span class = "w" > < / span > < span class = "kr" > const< / span > < span class = "w" > < / span > < span class = "n" > mem_allocator< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > mem_arena< / span > < span class = "p" > .< / span > < span class = "n" > allocator< / 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 = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > counter< / 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" > mem_allocator< / span > < span class = "p" > .< / span > < span class = "n" > alloc< / span > < span class = "p" > (< / span > < span class = "kt" > usize< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 10< / 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 = "nb" > @memset< / span > < span class = "p" > (< / span > < span class = "n" > counter< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "mi" > 0< / 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 = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > .< / span > < span class = "n" > len< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-16" name = "__codelineno-13-16" href = "#__codelineno-13-16" > < / a > < span class = "w" > < / span > < span class = "c1" > // 统计 0~9 各数字的出现次数< / span >
< a id = "__codelineno-13-17" name = "__codelineno-13-17" href = "#__codelineno-13-17" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "n" > num< / span > < span class = "o" > |< / span > < span class = "w" > < / 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 = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > u32< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > @bitCast< / span > < span class = "p" > (< / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > ));< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 nums[i] 第 k 位，记为 d< / span >
< a id = "__codelineno-13-19" name = "__codelineno-13-19" href = "#__codelineno-13-19" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 统计数字 d 的出现次数< / span >
< a id = "__codelineno-13-20" name = "__codelineno-13-20" href = "#__codelineno-13-20" > < / a > < span class = "w" > < / 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 = "c1" > // 求前缀和，将“出现个数”转换为“数组索引”< / span >
< a id = "__codelineno-13-22" name = "__codelineno-13-22" href = "#__codelineno-13-22" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > usize< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-23" name = "__codelineno-13-23" href = "#__codelineno-13-23" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / 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 = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / 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 = "p" > }< / span >
< a id = "__codelineno-13-26" name = "__codelineno-13-26" href = "#__codelineno-13-26" > < / a > < span class = "w" > < / span > < span class = "c1" > // 倒序遍历，根据桶内统计结果，将各元素填入 res< / span >
< a id = "__codelineno-13-27" name = "__codelineno-13-27" href = "#__codelineno-13-27" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > res< / 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" > mem_allocator< / span > < span class = "p" > .< / span > < span class = "n" > alloc< / span > < span class = "p" > (< / span > < span class = "kt" > i32< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > );< / span >
< a id = "__codelineno-13-28" name = "__codelineno-13-28" href = "#__codelineno-13-28" > < / a > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-29" name = "__codelineno-13-29" href = "#__codelineno-13-29" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > -=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-13-30" name = "__codelineno-13-30" href = "#__codelineno-13-30" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > d< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > u32< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "nb" > @bitCast< / span > < span class = "p" > (< / span > < span class = "n" > digit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ],< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > ));< / span >
< a id = "__codelineno-13-31" name = "__codelineno-13-31" href = "#__codelineno-13-31" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > j< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 获取 d 在数组中的索引 j< / span >
< a id = "__codelineno-13-32" name = "__codelineno-13-32" href = "#__codelineno-13-32" > < / a > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > j< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span > < span class = "w" > < / span > < span class = "c1" > // 将当前元素填入索引 j< / span >
< a id = "__codelineno-13-33" name = "__codelineno-13-33" href = "#__codelineno-13-33" > < / a > < span class = "w" > < / span > < span class = "n" > counter< / span > < span class = "p" > [< / span > < span class = "n" > d< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > -=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span > < span class = "w" > < / span > < span class = "c1" > // 将 d 的数量减 1< / span >
< a id = "__codelineno-13-34" name = "__codelineno-13-34" href = "#__codelineno-13-34" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > ==< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "k" > break< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-35" name = "__codelineno-13-35" href = "#__codelineno-13-35" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-13-36" name = "__codelineno-13-36" href = "#__codelineno-13-36" > < / a > < span class = "w" > < / span > < span class = "c1" > // 使用结果覆盖原数组 nums< / span >
< a id = "__codelineno-13-37" name = "__codelineno-13-37" href = "#__codelineno-13-37" > < / a > < span class = "w" > < / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 0< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-38" name = "__codelineno-13-38" href = "#__codelineno-13-38" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > < < / span > < span class = "w" > < / span > < span class = "n" > n< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > i< / span > < span class = "w" > < / span > < span class = "o" > +=< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-13-39" name = "__codelineno-13-39" href = "#__codelineno-13-39" > < / a > < span class = "w" > < / span > < span class = "n" > nums< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ]< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > res< / span > < span class = "p" > [< / span > < span class = "n" > i< / span > < span class = "p" > ];< / span >
< a id = "__codelineno-13-40" name = "__codelineno-13-40" href = "#__codelineno-13-40" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-13-41" name = "__codelineno-13-41" href = "#__codelineno-13-41" > < / a > < span class = "p" > }< / span >
< a id = "__codelineno-13-42" name = "__codelineno-13-42" href = "#__codelineno-13-42" > < / a >
< a id = "__codelineno-13-43" name = "__codelineno-13-43" href = "#__codelineno-13-43" > < / a > < span class = "c1" > // 基数排序< / span >
< a id = "__codelineno-13-44" name = "__codelineno-13-44" href = "#__codelineno-13-44" > < / a > < span class = "k" > fn< / span > < span class = "w" > < / span > < span class = "n" > radixSort< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > []< / span > < span class = "kt" > i32< / 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-13-45" name = "__codelineno-13-45" href = "#__codelineno-13-45" > < / a > < span class = "w" > < / span > < span class = "c1" > // 获取数组的最大元素，用于判断最大位数< / span >
< a id = "__codelineno-13-46" name = "__codelineno-13-46" href = "#__codelineno-13-46" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > i32< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "n" > std< / span > < span class = "p" > .< / span > < span class = "n" > math< / span > < span class = "p" > .< / span > < span class = "n" > minInt< / span > < span class = "p" > (< / span > < span class = "kt" > i32< / span > < span class = "p" > );< / span >
< a id = "__codelineno-13-47" name = "__codelineno-13-47" href = "#__codelineno-13-47" > < / a > < span class = "w" > < / span > < span class = "k" > for< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > |< / span > < span class = "n" > num< / span > < span class = "o" > |< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-13-48" name = "__codelineno-13-48" href = "#__codelineno-13-48" > < / a > < span class = "w" > < / span > < span class = "k" > if< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > num< / span > < span class = "w" > < / span > < span class = "o" > > < / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "n" > m< / 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-13-49" name = "__codelineno-13-49" href = "#__codelineno-13-49" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-13-50" name = "__codelineno-13-50" href = "#__codelineno-13-50" > < / a > < span class = "w" > < / span > < span class = "c1" > // 按照从低位到高位的顺序遍历< / span >
< a id = "__codelineno-13-51" name = "__codelineno-13-51" href = "#__codelineno-13-51" > < / a > < span class = "w" > < / span > < span class = "kr" > var< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "kt" > i32< / span > < span class = "w" > < / span > < span class = "o" > =< / span > < span class = "w" > < / span > < span class = "mi" > 1< / span > < span class = "p" > ;< / span >
< a id = "__codelineno-13-52" name = "__codelineno-13-52" href = "#__codelineno-13-52" > < / a > < span class = "w" > < / span > < span class = "k" > while< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > < =< / span > < span class = "w" > < / span > < span class = "n" > m< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "o" > :< / span > < span class = "w" > < / span > < span class = "p" > (< / span > < span class = "n" > exp< / span > < span class = "w" > < / span > < span class = "o" > *=< / span > < span class = "w" > < / span > < span class = "mi" > 10< / span > < span class = "p" > )< / span > < span class = "w" > < / span > < span class = "p" > {< / span >
< a id = "__codelineno-13-53" name = "__codelineno-13-53" href = "#__codelineno-13-53" > < / a > < span class = "w" > < / span > < span class = "c1" > // 对数组元素的第 k 位执行计数排序< / span >
< a id = "__codelineno-13-54" name = "__codelineno-13-54" href = "#__codelineno-13-54" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 1 -> exp = 1< / span >
< a id = "__codelineno-13-55" name = "__codelineno-13-55" href = "#__codelineno-13-55" > < / a > < span class = "w" > < / span > < span class = "c1" > // k = 2 -> exp = 10< / span >
< a id = "__codelineno-13-56" name = "__codelineno-13-56" href = "#__codelineno-13-56" > < / a > < span class = "w" > < / span > < span class = "c1" > // 即 exp = 10^(k-1)< / span >
< a id = "__codelineno-13-57" name = "__codelineno-13-57" href = "#__codelineno-13-57" > < / a > < span class = "w" > < / span > < span class = "k" > try< / span > < span class = "w" > < / span > < span class = "n" > countingSortDigit< / span > < span class = "p" > (< / span > < span class = "n" > nums< / span > < span class = "p" > ,< / span > < span class = "w" > < / span > < span class = "n" > exp< / span > < span class = "p" > );< / span > < span class = "w" > < / span >
< a id = "__codelineno-13-58" name = "__codelineno-13-58" href = "#__codelineno-13-58" > < / a > < span class = "w" > < / span > < span class = "p" > }< / span >
< a id = "__codelineno-13-59" name = "__codelineno-13-59" href = "#__codelineno-13-59" > < / a > < span class = "p" > }< / span > < span class = "w" > < / span >
2023-07-26 10:57:52 +08:00
< / code > < / pre > < / div >
< / div >
2023-03-26 22:05:43 +08:00
< / div >
< / div >
2024-01-07 23:43:01 +08:00
< details class = "pythontutor" >
< summary > 可视化运行< / summary >
2024-01-09 16:00:33 +08:00
< p > < div style = "height: 549px; width: 100%;" > < iframe class = "pythontutor-iframe" src = "https://pythontutor.com/iframe-embed.html#code=def%20digit%28num%3A%20int,%20exp%3A%20int%29%20-%3E%20int%3A%0A%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E5%85%83%E7%B4%A0%20num%20%E7%9A%84%E7%AC%AC%20k%20%E4%BD%8D%EF%BC%8C%E5%85%B6%E4%B8%AD%20exp%20%3D%2010%5E%28k-1%29%22%22%22%0A%20%20%20%20%23%20%E4%BC%A0%E5%85%A5%20exp%20%E8%80%8C%E9%9D%9E%20k%20%E5%8F%AF%E4%BB%A5%E9%81%BF%E5%85%8D%E5%9C%A8%E6%AD%A4%E9%87%8D%E5%A4%8D%E6%89%A7%E8%A1%8C%E6%98%82%E8%B4%B5%E7%9A%84%E6%AC%A1%E6%96%B9%E8%AE%A1%E7%AE%97%0A%20%20%20%20return%20%28num%20//%20exp%29%20%25%2010%0A%0Adef%20counting_sort_digit%28nums%3A%20list%5Bint%5D,%20exp%3A%20int%29%3A%0A%20%20%20%20%22%22%22%E8%AE%A1%E6%95%B0%E6%8E%92%E5%BA%8F%EF%BC%88%E6%A0%B9%E6%8D%AE%20nums%20%E7%AC%AC%20k%20%E4%BD%8D%E6%8E%92%E5%BA%8F%EF%BC%89%22%22%22%0A%20%20%20%20%23%20%E5%8D%81%E8%BF%9B%E5%88%B6%E7%9A%84%E4%BD%8D%E8%8C%83%E5%9B%B4%E4%B8%BA%200~9%20%EF%BC%8C%E5%9B%A0%E6%AD%A4%E9%9C%80%E8%A6%81%E9%95%BF%E5%BA%A6%E4%B8%BA%2010%20%E7%9A%84%E6%A1%B6%E6%95%B0%E7%BB%84%0A%20%20%20%20counter%20%3D%20%5B0%5D%20*%2010%0A%20%20%20%20n%20%3D%20len%28nums%29%0A%20%20%20%20%23%20%E7%BB%9F%E8%AE%A1%200~9%20%E5%90%84%E6%95%B0%E5%AD%97%E7%9A%84%E5%87%BA%E7%8E%B0%E6%AC%A1%E6%95%B0%0A%20%20%20%20for%20i%20in%20range%28n%29%3A%0A%20%20%20%20%20%20%20%20d%20%3D%20digit%28nums%5Bi%5D,%20exp%29%20%20%23%20%E8%8E%B7%E5%8F%96%20nums%5Bi%5D%20%E7%AC%AC%20k%20%E4%BD%8D%EF%BC%8C%E8%AE%B0%E4%B8%BA%20d%0A%20%20%20%20%20%20%20%20counter%5Bd%5D%20%2B%3D%201%20%20%23%20%E7%BB%9F%E8%AE%A1%E6%95%B0%E5%AD%97%20d%20%E7%9A%84%E5%87%BA%E7%8E%B0%E6%AC%A1%E6%95%B0%0A%20%20%20%20%23%20%E6%B1%82%E5%89%8D%E7%BC%80%E5%92%8C%EF%BC%8C%E5%B0%86%E2%80%9C%E5%87%BA%E7%8E%B0%E4%B8%AA%E6%95%B0%E2%80%9D%E8%BD%AC%E6%8D%A2%E4%B8%BA%E2%80%9C%E6%95%B0%E7%BB%84%E7%B4%A2%E5%BC%95%E2%80%9D%0A%20%20%20%20for%20i%20in%20range%281,%2010%29%3A%0A%20%20%20%20%20%20%20%20counter%5Bi%5D%20%2B%3D%20counter%5Bi%20-%201%5D%0A%20%20%20%20%23%20%E5%80%92%E5%BA%8F%E9%81%8D%E5%8E%86%EF%BC%8C%E6%A0%B9%E6%8D%AE%E6%A1%B6%E5%86%85%E7%BB%9F%E8%AE%A1%E7%BB%93%E6%9E%9C%EF%BC%8C%E5%B0%86%E5%90%84%E5%85%83%E7%B4%A0%E5%A1%AB%E5%85%A5%20res%0A%20%20%20%20res%20%3D%20%5B0%5D%20*%20n%0A%20%20%20%20for%20i%20in%20range%28n%20-%201,%20-1,%20-1%29%3A%0A%20%20%20%20%20%20%20%20d%20%3D%20digit%28nums%5Bi%5D,%20exp%29%0A%20%20%20%20%20%20%20%20j%20%3D%20counter%5Bd%5D%20-%201%20%20%23%20%E8%8E%B7%E5%8F%96%20d%20%E5%9C%A8%E6%95%B0%E7%BB%84%E4%B8%AD%E7%9A%84%E7%B4%A2%E5%BC%95%20j%0A%20%20%20%20%20%20%20%20res%5Bj%5D%20%3D%20nums%5Bi%5D%20%20%23%20%E5%B0%86%E5%BD%93%E5%89%8D%E5%85%83%E7%B4%A0%E5%A1%AB%E5%85%A5%E7%B4%A2%E5%BC%95%20j%0A%20%20%20%20%20%20%20%20counter%5Bd%5D%20-%3D%201%20%20%23%20%E5%B0%86%20d%20%E7%9A%84%E6%95%B0%E9%87%8F%E5%87%8F%201%0A%20%20%20%20%23%20%E4%BD%BF%E7%94%A8%E7%BB%93%E6%9E%9C%E8%A6%86%E7%9B%96%E5%8E%9F%E6%95%B0%E7%BB%84%20nums%0A%20%20%20%20for%20i%20in%20range%28n%29%3A%0A%20%20%20%20%20%20%20%20nums%5Bi%5D%20%3D%20res%5Bi%5D%0A%0Adef%20radix_sort%28nums%3A%20list%5Bint%5D%29%3A%0A%20%20%20%20%22%22%22%E5%9F%BA%E6%95%B0%E6%8E%92%E5%BA%8F%22%22%22%0A%20%20%20%20%23%20%E8%8E%B7%E5%8F%96%E6%95%B0%E7%BB%84%E7%9A%84%E6%9C%80%E5%A4%A7%E5%85%83%E7%B4%A0%EF%BC%8C%E7%94%A8%E4%BA%8E%E5%88%A4%E6%96%AD%E6%9C%80%E5%A4%A7%E4%BD%8D%E6%95%B0%0A%20%20%20%20m%20%3D%20max%28nums%29%0A%20%20%20%20%23%20%E6%8C%89%E7%85%A7%E4%BB%8E%E4%BD%8E%E4%BD%8D%E5%88%B0%E9%AB%98%E4%BD%8D%E7%9A%84%E9%A1%BA%E5%BA%8F%E9%81%8D%E5%8E%86%0A%20%20%20%20exp%20%3D%201%0A%20%20%20%20while%20exp%20%3C%3D%20m%3A%0A%20%20%20%20%20%20%20%20%23%20%E5%AF%B9%E6%95%B0%E7%BB%84%E5%85%83%E7%B4%A0%E7%9A%84%E7%AC%AC%20k%20%E4%BD%8D%E6%89%A7%E8%A1%8C%E8%AE%A1%E6%95%B0%E6%8E%92%E5%BA%8F%0A%20%20%20%20%20%20%20%20%23%20k%20%3D%201%20-%3E%20exp%20%3D%201%0A%20%20%20%20%20%20%20%20%23%20k%20%3D%202%20-%3E%20exp%20%3D%2010%0A%20%20%20%20%20%20%20%20%23%20%E5%8D%B3%20exp%20%3D%2010%5E%28k-1%29%0A%20%20%20%20%20%20%20%20counting_sort_digit%28nums,%20exp%29%0A%20%20%20%20%20%20%20%20exp%20*%3D%2010%0A%0A%22%22%22Driver%20Code%22%2
< div style = "margin-top: 5px;" > < a href = "https://pythontutor.com/iframe-embed.html#code=def%20digit%28num%3A%20int,%20exp%3A%20int%29%20-%3E%20int%3A%0A%20%20%20%20%22%22%22%E8%8E%B7%E5%8F%96%E5%85%83%E7%B4%A0%20num%20%E7%9A%84%E7%AC%AC%20k%20%E4%BD%8D%EF%BC%8C%E5%85%B6%E4%B8%AD%20exp%20%3D%2010%5E%28k-1%29%22%22%22%0A%20%20%20%20%23%20%E4%BC%A0%E5%85%A5%20exp%20%E8%80%8C%E9%9D%9E%20k%20%E5%8F%AF%E4%BB%A5%E9%81%BF%E5%85%8D%E5%9C%A8%E6%AD%A4%E9%87%8D%E5%A4%8D%E6%89%A7%E8%A1%8C%E6%98%82%E8%B4%B5%E7%9A%84%E6%AC%A1%E6%96%B9%E8%AE%A1%E7%AE%97%0A%20%20%20%20return%20%28num%20//%20exp%29%20%25%2010%0A%0Adef%20counting_sort_digit%28nums%3A%20list%5Bint%5D,%20exp%3A%20int%29%3A%0A%20%20%20%20%22%22%22%E8%AE%A1%E6%95%B0%E6%8E%92%E5%BA%8F%EF%BC%88%E6%A0%B9%E6%8D%AE%20nums%20%E7%AC%AC%20k%20%E4%BD%8D%E6%8E%92%E5%BA%8F%EF%BC%89%22%22%22%0A%20%20%20%20%23%20%E5%8D%81%E8%BF%9B%E5%88%B6%E7%9A%84%E4%BD%8D%E8%8C%83%E5%9B%B4%E4%B8%BA%200~9%20%EF%BC%8C%E5%9B%A0%E6%AD%A4%E9%9C%80%E8%A6%81%E9%95%BF%E5%BA%A6%E4%B8%BA%2010%20%E7%9A%84%E6%A1%B6%E6%95%B0%E7%BB%84%0A%20%20%20%20counter%20%3D%20%5B0%5D%20*%2010%0A%20%20%20%20n%20%3D%20len%28nums%29%0A%20%20%20%20%23%20%E7%BB%9F%E8%AE%A1%200~9%20%E5%90%84%E6%95%B0%E5%AD%97%E7%9A%84%E5%87%BA%E7%8E%B0%E6%AC%A1%E6%95%B0%0A%20%20%20%20for%20i%20in%20range%28n%29%3A%0A%20%20%20%20%20%20%20%20d%20%3D%20digit%28nums%5Bi%5D,%20exp%29%20%20%23%20%E8%8E%B7%E5%8F%96%20nums%5Bi%5D%20%E7%AC%AC%20k%20%E4%BD%8D%EF%BC%8C%E8%AE%B0%E4%B8%BA%20d%0A%20%20%20%20%20%20%20%20counter%5Bd%5D%20%2B%3D%201%20%20%23%20%E7%BB%9F%E8%AE%A1%E6%95%B0%E5%AD%97%20d%20%E7%9A%84%E5%87%BA%E7%8E%B0%E6%AC%A1%E6%95%B0%0A%20%20%20%20%23%20%E6%B1%82%E5%89%8D%E7%BC%80%E5%92%8C%EF%BC%8C%E5%B0%86%E2%80%9C%E5%87%BA%E7%8E%B0%E4%B8%AA%E6%95%B0%E2%80%9D%E8%BD%AC%E6%8D%A2%E4%B8%BA%E2%80%9C%E6%95%B0%E7%BB%84%E7%B4%A2%E5%BC%95%E2%80%9D%0A%20%20%20%20for%20i%20in%20range%281,%2010%29%3A%0A%20%20%20%20%20%20%20%20counter%5Bi%5D%20%2B%3D%20counter%5Bi%20-%201%5D%0A%20%20%20%20%23%20%E5%80%92%E5%BA%8F%E9%81%8D%E5%8E%86%EF%BC%8C%E6%A0%B9%E6%8D%AE%E6%A1%B6%E5%86%85%E7%BB%9F%E8%AE%A1%E7%BB%93%E6%9E%9C%EF%BC%8C%E5%B0%86%E5%90%84%E5%85%83%E7%B4%A0%E5%A1%AB%E5%85%A5%20res%0A%20%20%20%20res%20%3D%20%5B0%5D%20*%20n%0A%20%20%20%20for%20i%20in%20range%28n%20-%201,%20-1,%20-1%29%3A%0A%20%20%20%20%20%20%20%20d%20%3D%20digit%28nums%5Bi%5D,%20exp%29%0A%20%20%20%20%20%20%20%20j%20%3D%20counter%5Bd%5D%20-%201%20%20%23%20%E8%8E%B7%E5%8F%96%20d%20%E5%9C%A8%E6%95%B0%E7%BB%84%E4%B8%AD%E7%9A%84%E7%B4%A2%E5%BC%95%20j%0A%20%20%20%20%20%20%20%20res%5Bj%5D%20%3D%20nums%5Bi%5D%20%20%23%20%E5%B0%86%E5%BD%93%E5%89%8D%E5%85%83%E7%B4%A0%E5%A1%AB%E5%85%A5%E7%B4%A2%E5%BC%95%20j%0A%20%20%20%20%20%20%20%20counter%5Bd%5D%20-%3D%201%20%20%23%20%E5%B0%86%20d%20%E7%9A%84%E6%95%B0%E9%87%8F%E5%87%8F%201%0A%20%20%20%20%23%20%E4%BD%BF%E7%94%A8%E7%BB%93%E6%9E%9C%E8%A6%86%E7%9B%96%E5%8E%9F%E6%95%B0%E7%BB%84%20nums%0A%20%20%20%20for%20i%20in%20range%28n%29%3A%0A%20%20%20%20%20%20%20%20nums%5Bi%5D%20%3D%20res%5Bi%5D%0A%0Adef%20radix_sort%28nums%3A%20list%5Bint%5D%29%3A%0A%20%20%20%20%22%22%22%E5%9F%BA%E6%95%B0%E6%8E%92%E5%BA%8F%22%22%22%0A%20%20%20%20%23%20%E8%8E%B7%E5%8F%96%E6%95%B0%E7%BB%84%E7%9A%84%E6%9C%80%E5%A4%A7%E5%85%83%E7%B4%A0%EF%BC%8C%E7%94%A8%E4%BA%8E%E5%88%A4%E6%96%AD%E6%9C%80%E5%A4%A7%E4%BD%8D%E6%95%B0%0A%20%20%20%20m%20%3D%20max%28nums%29%0A%20%20%20%20%23%20%E6%8C%89%E7%85%A7%E4%BB%8E%E4%BD%8E%E4%BD%8D%E5%88%B0%E9%AB%98%E4%BD%8D%E7%9A%84%E9%A1%BA%E5%BA%8F%E9%81%8D%E5%8E%86%0A%20%20%20%20exp%20%3D%201%0A%20%20%20%20while%20exp%20%3C%3D%20m%3A%0A%20%20%20%20%20%20%20%20%23%20%E5%AF%B9%E6%95%B0%E7%BB%84%E5%85%83%E7%B4%A0%E7%9A%84%E7%AC%AC%20k%20%E4%BD%8D%E6%89%A7%E8%A1%8C%E8%AE%A1%E6%95%B0%E6%8E%92%E5%BA%8F%0A%20%20%20%20%20%20%20%20%23%20k%20%3D%201%20-%3E%20exp%20%3D%201%0A%20%20%20%20%20%20%20%20%23%20k%20%3D%202%20-%3E%20exp%20%3D%2010%0A%20%20%20%20%20%20%20%20%23%20%E5%8D%B3%20exp%20%3D%2010%5E%28k-1%29%0A%20%20%20%20%20%20%20%20counting_sort_digit%28nums,%20exp%29%0A%20%20%20%20%20%20%20%20exp%20*%3D%2010%0A%0A%22%22%22Driver%20Code%22%22%22%0Aif%20__name__%20%3D%3D%20%22__main__%2
2024-01-07 23:43:01 +08:00
< / details >
2023-03-26 22:05:43 +08:00
< div class = "admonition question" >
< p class = "admonition-title" > 为什么从最低位开始排序？< / p >
2023-12-02 06:24:11 +08:00
< p > 在连续的排序轮次中，后一轮排序会覆盖前一轮排序的结果。举例来说，如果第一轮排序结果 < span class = "arithmatex" > \(a < b\)< / span > ，而第二轮排序结果 < span class = "arithmatex" > \(a > b\)< / span > ，那么第二轮的结果将取代第一轮的结果。由于数字的高位优先级高于低位，因此应该先排序低位再排序高位。< / p >
2023-03-26 22:05:43 +08:00
< / div >
2023-08-19 22:07:40 +08:00
< h2 id = "11102" > 11.10.2 算法特性< a class = "headerlink" href = "#11102" title = "Permanent link" > ¶ < / a > < / h2 >
2023-05-24 00:32:47 +08:00
< p > 相较于计数排序，基数排序适用于数值范围较大的情况，< strong > 但前提是数据必须可以表示为固定位数的格式，且位数不能过大< / strong > 。例如，浮点数不适合使用基数排序，因为其位数 < span class = "arithmatex" > \(k\)< / span > 过大，可能导致时间复杂度 < span class = "arithmatex" > \(O(nk) \gg O(n^2)\)< / span > 。< / p >
< ul >
2024-04-22 01:45:11 +08:00
< li > < strong > 时间复杂度为 < span class = "arithmatex" > \(O(nk)\)< / span > 、非自适应排序< / strong > ：设数据量为 < span class = "arithmatex" > \(n\)< / span > 、数据为 < span class = "arithmatex" > \(d\)< / span > 进制、最大位数为 < span class = "arithmatex" > \(k\)< / span > ，则对某一位执行计数排序使用 < span class = "arithmatex" > \(O(n + d)\)< / span > 时间，排序所有 < span class = "arithmatex" > \(k\)< / span > 位使用 < span class = "arithmatex" > \(O((n + d)k)\)< / span > 时间。通常情况下，< span class = "arithmatex" > \(d\)< / span > 和 < span class = "arithmatex" > \(k\)< / span > 都相对较小，时间复杂度趋向 < span class = "arithmatex" > \(O(n)\)< / span > 。< / li >
2023-12-28 17:18:44 +08:00
< li > < strong > 空间复杂度为 < span class = "arithmatex" > \(O(n + d)\)< / span > 、非原地排序< / strong > ：与计数排序相同，基数排序需要借助长度为 < span class = "arithmatex" > \(n\)< / span > 和 < span class = "arithmatex" > \(d\)< / span > 的数组 < code > res< / code > 和 < code > counter< / code > 。< / li >
2023-12-11 00:57:05 +08:00
< li > < strong > 稳定排序< / strong > ：当计数排序稳定时，基数排序也稳定；当计数排序不稳定时，基数排序无法保证得到正确的排序结果。< / li >
2023-05-24 00:32:47 +08:00
< / ul >
2023-03-26 22:05:43 +08:00
2023-09-21 20:44:52 +08:00
<!-- Source file information -->
2023-03-26 22:05:43 +08:00
2023-09-21 20:44:52 +08:00
<!-- Was this page helpful? -->
2023-03-26 22:05:43 +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="../counting_sort/"
class="md-footer__link md-footer__link--prev"
aria-label="上一页: 11.9 & nbsp; 计数排序"
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" >
11.9 计数排序
< / div >
< / div >
< / a >
<!-- Link to next page -->
< a
href="../summary/"
class="md-footer__link md-footer__link--next"
aria-label="下一页: 11.11 & nbsp; 小结"
rel="next"
>
< div class = "md-footer__title" >
< span class = "md-footer__direction" >
下一页
< / span >
< div class = "md-ellipsis" >
11.11 小结
< / div >
< / div >
< div class = "md-footer__button md-icon" >
< svg xmlns = "http://www.w3.org/2000/svg" viewBox = "0 0 24 24" > < path d = "M4 11v2h12l-5.5 5.5 1.42 1.42L19.84 12l-7.92-7.92L10.5 5.5 16 11H4Z" / > < / svg >
< / div >
< / a >
< / nav >
<!-- Comment system -->
2023-10-06 13:31:31 +08:00
2023-10-09 18:19:36 +08:00
2024-01-04 15:23:24 +08:00
< h5 align = "center" id = "__comments" > 欢迎在评论区留下你的见解、问题或建议< / h5 >
2023-10-06 13:31:31 +08:00
2023-03-26 22:05:43 +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"
2024-02-08 08:40:29 +08:00
data-theme="light"
2023-03-26 22:05:43 +08:00
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"
2023-03-26 22:05:43 +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"
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +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 = "../counting_sort/" class = "md-footer__link md-footer__link--prev" aria-label = "上一页: 11.9 &nbsp; 计数排序" >
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" >
11.9 计数排序
< / div >
< / div >
< / a >
2023-12-07 20:12:31 +08:00
< a href = "../summary/" class = "md-footer__link md-footer__link--next" aria-label = "下一页: 11.11 &nbsp; 小结" >
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" >
11.11 小结
< / 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 >
2023-03-26 22:05:43 +08:00
< div class = "md-footer-meta md-typeset" >
< div class = "md-footer-meta__inner md-grid" >
< div class = "md-copyright" >
< div class = "md-copyright__highlight" >
2024-05-02 01:46:20 +08:00
Copyright © 2024 krahets< br > The website content is licensed under < a href = "https://creativecommons.org/licenses/by-nc-sa/4.0/" > CC BY-NC-SA 4.0< / a >
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / a >
< a href = "https://twitter.com/krahets" target = "_blank" rel = "noopener" title = "twitter.com" class = "md-social__link" >
2024-04-03 15:44:14 +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 = "M389.2 48h70.6L305.6 224.2 487 464H345L233.7 318.6 106.5 464H35.8l164.9-188.5L26.8 48h145.6l100.5 132.9L389.2 48zm-24.8 373.8h39.1L151.1 88h-42l255.3 333.8z" / > < / svg >
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +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
2024-02-23 17:03:55 +08:00
< script id = "__config" type = "application/json" > { "base" : "../.." , "features" : [ "announce.dismiss" , "content.action.edit" , "content.code.annotate" , "content.code.copy" , "content.tabs.link" , "content.tooltips" , "navigation.indexes" , "navigation.top" , "navigation.footer" , "navigation.tracking" , "search.highlight" , "search.share" , "search.suggest" , "toc.follow" ] , "search" : "../../assets/javascripts/workers/search.b8dbb3d2.min.js" , "translations" : { "clipboard.copied" : "\u5df2\u590d\u5236" , "clipboard.copy" : "\u590d\u5236" , "search.result.more.one" : "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.more.other" : "\u5728\u8be5\u9875\u4e0a\u8fd8\u6709 # \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.none" : "\u6ca1\u6709\u627e\u5230\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.one" : "\u627e\u5230 1 \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.other" : "# \u4e2a\u7b26\u5408\u6761\u4ef6\u7684\u7ed3\u679c" , "search.result.placeholder" : "\u952e\u5165\u4ee5\u5f00\u59cb\u641c\u7d22" , "search.result.term.missing" : "\u7f3a\u5c11" , "select.version" : "\u9009\u62e9\u5f53\u524d\u7248\u672c" } } < / script >
2023-03-26 22:05:43 +08:00
2024-01-25 21:09:11 +08:00
< script src = "../../assets/javascripts/bundle.c18c5fb9.min.js" > < / script >
2023-03-26 22:05:43 +08:00
2023-09-24 17:12:06 +08:00
< script src = "../../javascripts/mathjax.js" > < / script >
2023-03-26 22:05:43 +08:00
2023-09-24 17:12:06 +08:00
< script src = "https://polyfill.io/v3/polyfill.min.js?features=es6" > < / script >
2023-03-26 22:05:43 +08:00
2024-04-26 19:21:13 +08:00
< script src = "https://cdnjs.cloudflare.com/ajax/libs/mathjax/3.2.2/es5/tex-mml-chtml.min.js" > < / script >
2023-03-26 22:05:43 +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 >
2023-03-26 22:05:43 +08:00
< / html >
