deploy: b37b029e5f73fa0a7f90b58f51e05959f1f62405

2024-10-22 14:05:45 +02:00 · 2024-07-24 07:39:31 +00:00 · 2024-07-24 07:39:31 +00:00 · d9f1099996
commit d9f1099996
parent 8cd1cc9b0a
55 changed files with 1343 additions and 100 deletions
--- a/404.html
+++ b/404.html
@ -5,10 +5,10 @@
    
    <title>404 | Hi，终于等到你</title>
    <meta name="description" content="Not Found">
-    <meta name="generator" content="VitePress v1.2.3">
-    <link rel="preload stylesheet" href="/c/assets/style.bTUc_nQv.css" as="style">
+    <meta name="generator" content="VitePress v1.3.1">
+    <link rel="preload stylesheet" href="/c/assets/style.DF3ihcHP.css" as="style">
    
-    <script type="module" src="/c/assets/app.B-gMyJXN.js"></script>
+    <script type="module" src="/c/assets/app.tyefp9BV.js"></script>
    <link rel="preload" href="/c/assets/inter-roman-latin.Di8DUHzh.woff2" as="font" type="font/woff2" crossorigin="">
    <link rel="shortcut icon" href="/c//logo.svg">
    <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1.0, maximum-scale=1.0, user-scalable=no,shrink-to-fit=no">
@ -18,7 +18,7 @@
  </head>
  <body>
    <div id="app"></div>
-    <script>window.__VP_HASH_MAP__=JSON.parse("{\"notes_index.md\":\"3bIiHjBr\",\"index.md\":\"uFk6fSzW\",\"notes_01_c-basic_02_xdx_index.md\":\"Cxyt4HEd\",\"notes_01_c-basic_04_xdx_index.md\":\"lfDB99hY\",\"notes_01_c-basic_01_xdx_index.md\":\"DA3nuW_4\",\"notes_01_c-basic_03_xdx_index.md\":\"Bc0D4KAS\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
+    <script>window.__VP_HASH_MAP__=JSON.parse("{\"index.md\":\"D0m5RaG6\",\"notes_01_c-basic_01_xdx_index.md\":\"7lTzv-1j\",\"notes_01_c-basic_02_xdx_index.md\":\"36L8tSmA\",\"notes_01_c-basic_03_xdx_index.md\":\"BUQ_uNMg\",\"notes_01_c-basic_04_xdx_index.md\":\"CwyFE3Gl\",\"notes_01_c-basic_05_xdx_index.md\":\"aZr9FRYL\",\"notes_index.md\":\"qg0s9W8s\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
    
  </body>
 </html>
--- a/assets/1.CvTjP5jN.png
+++ b/assets/1.CvTjP5jN.png
--- a/assets/10.DYoXU9E6.jpg
+++ b/assets/10.DYoXU9E6.jpg
--- a/assets/11.DWDH3yqc.png
+++ b/assets/11.DWDH3yqc.png
--- a/assets/12.BvBjpbbE.png
+++ b/assets/12.BvBjpbbE.png
--- a/assets/13.CmPe90qp.png
+++ b/assets/13.CmPe90qp.png
--- a/assets/14.MepLJvOt.jpg
+++ b/assets/14.MepLJvOt.jpg
--- a/assets/15.CZUo3kuI.png
+++ b/assets/15.CZUo3kuI.png
--- a/assets/16.t7xuKRuB.png
+++ b/assets/16.t7xuKRuB.png
--- a/assets/17.Bkm40EoU.png
+++ b/assets/17.Bkm40EoU.png
--- a/assets/18.D0Mtsawg.png
+++ b/assets/18.D0Mtsawg.png
--- a/assets/19.C-mmUOKp.png
+++ b/assets/19.C-mmUOKp.png
--- a/assets/2.BR4TvWzU.png
+++ b/assets/2.BR4TvWzU.png
--- a/assets/20.BvSSXPdI.png
+++ b/assets/20.BvSSXPdI.png
--- a/assets/21.uaya_nVR.png
+++ b/assets/21.uaya_nVR.png
--- a/assets/3.hr3pCY5b.png
+++ b/assets/3.hr3pCY5b.png
--- a/assets/4.CgvWfxq4.png
+++ b/assets/4.CgvWfxq4.png
--- a/assets/5.DSekQATc.png
+++ b/assets/5.DSekQATc.png
--- a/assets/6.DjtEKfCa.png
+++ b/assets/6.DjtEKfCa.png
--- a/assets/7.BTWPdsCm.png
+++ b/assets/7.BTWPdsCm.png
--- a/assets/8.EoNXwZXz.png
+++ b/assets/8.EoNXwZXz.png
--- a/assets/9.iU-LaFqX.png
+++ b/assets/9.iU-LaFqX.png
--- a/assets/app.tyefp9BV.js
+++ b/assets/app.tyefp9BV.js
@ -1 +1 @@
-import{U as o,a6 as p,a7 as u,a8 as l,a9 as c,aa as f,ab as d,ac as m,ad as h,ae as g,af as A,d as P,u as v,y,x as w,ag as C,ah as R,ai as b,a4 as E}from"./chunks/framework.BE8if9e6.js";import{R as S}from"./chunks/theme.CJXJMEf1.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(S),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return y(()=>{w(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),R(),b(),s.setup&&s.setup(),()=>E(s.Layout)}});async function _(){globalThis.__VITEPRESS__=!0;const e=D(),a=x();a.provide(u,e);const t=l(e.route);return a.provide(c,t),a.component("Content",f),a.component("ClientOnly",d),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:m}),{app:a,router:e,data:t}}function x(){return h(T)}function D(){let e=o,a;return g(t=>{let n=A(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&_().then(({app:e,router:a,data:t})=>{a.go().then(()=>{p(a.route,t.site),e.mount("#app")})});export{_ as createApp};
+import{U as o,a7 as p,a8 as u,a9 as l,aa as c,ab as f,ac as d,ad as m,ae as h,af as g,ag as A,d as P,u as v,y,x as w,ah as C,ai as R,aj as b,a5 as E}from"./chunks/framework.CZKtKhAm.js";import{R as S}from"./chunks/theme.DpGvkbEa.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(S),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return y(()=>{w(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),R(),b(),s.setup&&s.setup(),()=>E(s.Layout)}});async function _(){globalThis.__VITEPRESS__=!0;const e=x(),a=j();a.provide(u,e);const t=l(e.route);return a.provide(c,t),a.component("Content",f),a.component("ClientOnly",d),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:m}),{app:a,router:e,data:t}}function j(){return h(T)}function x(){let e=o,a;return g(t=>{let n=A(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&_().then(({app:e,router:a,data:t})=>{a.go().then(()=>{p(a.route,t.site),e.mount("#app")})});export{_ as createApp};
--- a/assets/chunks/@localSearchIndexroot.BVLuRsrM.js
+++ b/assets/chunks/@localSearchIndexroot.BVLuRsrM.js
--- a/assets/chunks/@localSearchIndexroot.Lh9GCnWS.js
+++ b/assets/chunks/@localSearchIndexroot.Lh9GCnWS.js
--- a/assets/chunks/VPLocalSearchBox.BxxvU256.js
+++ b/assets/chunks/VPLocalSearchBox.BxxvU256.js
--- a/assets/chunks/VPLocalSearchBox.CPVId97g.js
+++ b/assets/chunks/VPLocalSearchBox.CPVId97g.js
--- a/assets/chunks/framework.BE8if9e6.js
+++ b/assets/chunks/framework.BE8if9e6.js
@ -1,17 +0,0 @@
-/**
-* @vue/shared v3.4.30
-* (c) 2018-present Yuxi (Evan) You and Vue contributors
-* @license MIT
-**//*! #__NO_SIDE_EFFECTS__ */function wr(e,t){const n=new Set(e.split(","));return r=>n.has(r)}const te={},mt=[],xe=()=>{},Li=()=>!1,kt=e=>e.charCodeAt(0)===111&&e.charCodeAt(1)===110&&(e.charCodeAt(2)>122||e.charCodeAt(2)<97),Er=e=>e.startsWith("onUpdate:"),le=Object.assign,Cr=(e,t)=>{const n=e.indexOf(t);n>-1&&e.splice(n,1)},Ii=Object.prototype.hasOwnProperty,z=(e,t)=>Ii.call(e,t),k=Array.isArray,yt=e=>Sn(e)==="[object Map]",zs=e=>Sn(e)==="[object Set]",K=e=>typeof e=="function",oe=e=>typeof e=="string",et=e=>typeof e=="symbol",Z=e=>e!==null&&typeof e=="object",Js=e=>(Z(e)||K(e))&&K(e.then)&&K(e.catch),Qs=Object.prototype.toString,Sn=e=>Qs.call(e),Mi=e=>Sn(e).slice(8,-1),Zs=e=>Sn(e)==="[object Object]",xr=e=>oe(e)&&e!=="NaN"&&e[0]!=="-"&&""+parseInt(e,10)===e,_t=wr(",key,ref,ref_for,ref_key,onVnodeBeforeMount,onVnodeMounted,onVnodeBeforeUpdate,onVnodeUpdated,onVnodeBeforeUnmount,onVnodeUnmounted"),Tn=e=>{const t=Object.create(null);return n=>t[n]||(t[n]=e(n))},Pi=/-(\w)/g,$e=Tn(e=>e.replace(Pi,(t,n)=>n?n.toUpperCase():"")),Ni=/\B([A-Z])/g,ft=Tn(e=>e.replace(Ni,"-$1").toLowerCase()),An=Tn(e=>e.charAt(0).toUpperCase()+e.slice(1)),un=Tn(e=>e?`on${An(e)}`:""),Qe=(e,t)=>!Object.is(e,t),fn=(e,...t)=>{for(let n=0;n<e.length;n++)e[n](...t)},eo=(e,t,n,r=!1)=>{Object.defineProperty(e,t,{configurable:!0,enumerable:!1,writable:r,value:n})},cr=e=>{const t=parseFloat(e);return isNaN(t)?e:t},Fi=e=>{const t=oe(e)?Number(e):NaN;return isNaN(t)?e:t};let Jr;const to=()=>Jr||(Jr=typeof globalThis<"u"?globalThis:typeof self<"u"?self:typeof window<"u"?window:typeof global<"u"?global:{});function Sr(e){if(k(e)){const t={};for(let n=0;n<e.length;n++){const r=e[n],s=oe(r)?Vi(r):Sr(r);if(s)for(const o in s)t[o]=s[o]}return t}else if(oe(e)||Z(e))return e}const $i=/;(?![^(]*\))/g,Hi=/:([^]+)/,ji=/\/\*[^]*?\*\//g;function Vi(e){const t={};return e.replace(ji,"").split($i).forEach(n=>{if(n){const r=n.split(Hi);r.length>1&&(t[r[0].trim()]=r[1].trim())}}),t}function Tr(e){let t="";if(oe(e))t=e;else if(k(e))for(let n=0;n<e.length;n++){const r=Tr(e[n]);r&&(t+=r+" ")}else if(Z(e))for(const n in e)e[n]&&(t+=n+" ");return t.trim()}const Di="itemscope,allowfullscreen,formnovalidate,ismap,nomodule,novalidate,readonly",Ui=wr(Di);function no(e){return!!e||e===""}const nu=e=>oe(e)?e:e==null?"":k(e)||Z(e)&&(e.toString===Qs||!K(e.toString))?JSON.stringify(e,ro,2):String(e),ro=(e,t)=>t&&t.__v_isRef?ro(e,t.value):yt(t)?{[`Map(${t.size})`]:[...t.entries()].reduce((n,[r,s],o)=>(n[kn(r,o)+" =>"]=s,n),{})}:zs(t)?{[`Set(${t.size})`]:[...t.values()].map(n=>kn(n))}:et(t)?kn(t):Z(t)&&!k(t)&&!Zs(t)?String(t):t,kn=(e,t="")=>{var n;return et(e)?`Symbol(${(n=e.description)!=null?n:t})`:e};/**
-* @vue/reactivity v3.4.30
-* (c) 2018-present Yuxi (Evan) You and Vue contributors
-* @license MIT
-**/let we;class Bi{constructor(t=!1){this.detached=t,this._active=!0,this.effects=[],this.cleanups=[],this.parent=we,!t&&we&&(this.index=(we.scopes||(we.scopes=[])).push(this)-1)}get active(){return this._active}run(t){if(this._active){const n=we;try{return we=this,t()}finally{we=n}}}on(){we=this}off(){we=this.parent}stop(t){if(this._active){let n,r;for(n=0,r=this.effects.length;n<r;n++)this.effects[n].stop();for(n=0,r=this.cleanups.length;n<r;n++)this.cleanups[n]();if(this.scopes)for(n=0,r=this.scopes.length;n<r;n++)this.scopes[n].stop(!0);if(!this.detached&&this.parent&&!t){const s=this.parent.scopes.pop();s&&s!==this&&(this.parent.scopes[this.index]=s,s.index=this.index)}this.parent=void 0,this._active=!1}}}function ki(e,t=we){t&&t.active&&t.effects.push(e)}function so(){return we}function Ki(e){we&&we.cleanups.push(e)}let ct;class Ar{constructor(t,n,r,s){this.fn=t,this.trigger=n,this.scheduler=r,this.active=!0,this.deps=[],this._dirtyLevel=5,this._trackId=0,this._runnings=0,this._shouldSchedule=!1,this._depsLength=0,ki(this,s)}get dirty(){if(this._dirtyLevel===2)return!1;if(this._dirtyLevel===3||this._dirtyLevel===4){this._dirtyLevel=1,tt();for(let t=0;t<this._depsLength;t++){const n=this.deps[t];if(n.computed){if(n.computed.effect._dirtyLevel===2)return Ue(),!0;if(Wi(n.computed),this._dirtyLevel>=5)break}}this._dirtyLevel===1&&(this._dirtyLevel=0),Ue()}return this._dirtyLevel>=5}set dirty(t){this._dirtyLevel=t?5:0}run(){if(this._dirtyLevel=0,!this.active)return this.fn();let t=ze,n=ct;try{return ze=!0,ct=this,this._runnings++,Qr(this),this.fn()}finally{Zr(this),this._runnings--,ct=n,ze=t}}stop(){this.active&&(Qr(this),Zr(this),this.onStop&&this.onStop(),this.active=!1)}}function Wi(e){return e.value}function Qr(e){e._trackId++,e._depsLength=0}function Zr(e){if(e.deps.length>e._depsLength){for(let t=e._depsLength;t<e.deps.length;t++)oo(e.deps[t],e);e.deps.length=e._depsLength}}function oo(e,t){const n=e.get(t);n!==void 0&&t._trackId!==n&&(e.delete(t),e.size===0&&e.cleanup())}let ze=!0,ar=0;const io=[];function tt(){io.push(ze),ze=!1}function Ue(){const e=io.pop();ze=e===void 0?!0:e}function Rr(){ar++}function Or(){for(ar--;!ar&&ur.length;)ur.shift()()}function lo(e,t,n){if(t.get(e)!==e._trackId){t.set(e,e._trackId);const r=e.deps[e._depsLength];r!==t?(r&&oo(r,e),e.deps[e._depsLength++]=t):e._depsLength++}}const ur=[];function co(e,t,n){Rr();for(const r of e.keys()){let s;if(!e.computed&&r.computed&&r._runnings>0&&(s??(s=e.get(r)===r._trackId))){r._dirtyLevel=2;continue}r._dirtyLevel<t&&(s??(s=e.get(r)===r._trackId))&&(r._shouldSchedule||(r._shouldSchedule=r._dirtyLevel===0),r.computed&&r._dirtyLevel===2&&(r._shouldSchedule=!0),r._dirtyLevel=t),r._shouldSchedule&&(s??(s=e.get(r)===r._trackId))&&(r.trigger(),(!r._runnings||r.allowRecurse)&&r._dirtyLevel!==3&&(r._shouldSchedule=!1,r.scheduler&&ur.push(r.scheduler)))}Or()}const ao=(e,t)=>{const n=new Map;return n.cleanup=e,n.computed=t,n},mn=new WeakMap,at=Symbol(""),fr=Symbol("");function ve(e,t,n){if(ze&&ct){let r=mn.get(e);r||mn.set(e,r=new Map);let s=r.get(n);s||r.set(n,s=ao(()=>r.delete(n))),lo(ct,s)}}function De(e,t,n,r,s,o){const i=mn.get(e);if(!i)return;let l=[];if(t==="clear")l=[...i.values()];else if(n==="length"&&k(e)){const c=Number(r);i.forEach((a,f)=>{(f==="length"||!et(f)&&f>=c)&&l.push(a)})}else switch(n!==void 0&&l.push(i.get(n)),t){case"add":k(e)?xr(n)&&l.push(i.get("length")):(l.push(i.get(at)),yt(e)&&l.push(i.get(fr)));break;case"delete":k(e)||(l.push(i.get(at)),yt(e)&&l.push(i.get(fr)));break;case"set":yt(e)&&l.push(i.get(at));break}Rr();for(const c of l)c&&co(c,5);Or()}function qi(e,t){const n=mn.get(e);return n&&n.get(t)}const Gi=wr("__proto__,__v_isRef,__isVue"),uo=new Set(Object.getOwnPropertyNames(Symbol).filter(e=>e!=="arguments"&&e!=="caller").map(e=>Symbol[e]).filter(et)),es=Xi();function Xi(){const e={};return["includes","indexOf","lastIndexOf"].forEach(t=>{e[t]=function(...n){const r=J(this);for(let o=0,i=this.length;o<i;o++)ve(r,"get",o+"");const s=r[t](...n);return s===-1||s===!1?r[t](...n.map(J)):s}}),["push","pop","shift","unshift","splice"].forEach(t=>{e[t]=function(...n){tt(),Rr();const r=J(this)[t].apply(this,n);return Or(),Ue(),r}}),e}function Yi(e){et(e)||(e=String(e));const t=J(this);return ve(t,"has",e),t.hasOwnProperty(e)}class fo{constructor(t=!1,n=!1){this._isReadonly=t,this._isShallow=n}get(t,n,r){const s=this._isReadonly,o=this._isShallow;if(n==="__v_isReactive")return!s;if(n==="__v_isReadonly")return s;if(n==="__v_isShallow")return o;if(n==="__v_raw")return r===(s?o?cl:mo:o?go:po).get(t)||Object.getPrototypeOf(t)===Object.getPrototypeOf(r)?t:void 0;const i=k(t);if(!s){if(i&&z(es,n))return Reflect.get(es,n,r);if(n==="hasOwnProperty")return Yi}const l=Reflect.get(t,n,r);return(et(n)?uo.has(n):Gi(n))||(s||ve(t,"get",n),o)?l:de(l)?i&&xr(n)?l:l.value:Z(l)?s?Ln(l):On(l):l}}class ho extends fo{constructor(t=!1){super(!1,t)}set(t,n,r,s){let o=t[n];if(!this._isShallow){const c=$t(o);if(!yn(r)&&!$t(r)&&(o=J(o),r=J(r)),!k(t)&&de(o)&&!de(r))return c?!1:(o.value=r,!0)}const i=k(t)&&xr(n)?Number(n)<t.length:z(t,n),l=Reflect.set(t,n,r,s);return t===J(s)&&(i?Qe(r,o)&&De(t,"set",n,r):De(t,"add",n,r)),l}deleteProperty(t,n){const r=z(t,n);t[n];const s=Reflect.deleteProperty(t,n);return s&&r&&De(t,"delete",n,void 0),s}has(t,n){const r=Reflect.has(t,n);return(!et(n)||!uo.has(n))&&ve(t,"has",n),r}ownKeys(t){return ve(t,"iterate",k(t)?"length":at),Reflect.ownKeys(t)}}class zi extends fo{constructor(t=!1){super(!0,t)}set(t,n){return!0}deleteProperty(t,n){return!0}}const Ji=new ho,Qi=new zi,Zi=new ho(!0);const Lr=e=>e,Rn=e=>Reflect.getPrototypeOf(e);function zt(e,t,n=!1,r=!1){e=e.__v_raw;const s=J(e),o=J(t);n||(Qe(t,o)&&ve(s,"get",t),ve(s,"get",o));const{has:i}=Rn(s),l=r?Lr:n?Pr:Ht;if(i.call(s,t))return l(e.get(t));if(i.call(s,o))return l(e.get(o));e!==s&&e.get(t)}function Jt(e,t=!1){const n=this.__v_raw,r=J(n),s=J(e);return t||(Qe(e,s)&&ve(r,"has",e),ve(r,"has",s)),e===s?n.has(e):n.has(e)||n.has(s)}function Qt(e,t=!1){return e=e.__v_raw,!t&&ve(J(e),"iterate",at),Reflect.get(e,"size",e)}function ts(e){e=J(e);const t=J(this);return Rn(t).has.call(t,e)||(t.add(e),De(t,"add",e,e)),this}function ns(e,t){t=J(t);const n=J(this),{has:r,get:s}=Rn(n);let o=r.call(n,e);o||(e=J(e),o=r.call(n,e));const i=s.call(n,e);return n.set(e,t),o?Qe(t,i)&&De(n,"set",e,t):De(n,"add",e,t),this}function rs(e){const t=J(this),{has:n,get:r}=Rn(t);let s=n.call(t,e);s||(e=J(e),s=n.call(t,e)),r&&r.call(t,e);const o=t.delete(e);return s&&De(t,"delete",e,void 0),o}function ss(){const e=J(this),t=e.size!==0,n=e.clear();return t&&De(e,"clear",void 0,void 0),n}function Zt(e,t){return function(r,s){const o=this,i=o.__v_raw,l=J(i),c=t?Lr:e?Pr:Ht;return!e&&ve(l,"iterate",at),i.forEach((a,f)=>r.call(s,c(a),c(f),o))}}function en(e,t,n){return function(...r){const s=this.__v_raw,o=J(s),i=yt(o),l=e==="entries"||e===Symbol.iterator&&i,c=e==="keys"&&i,a=s[e](...r),f=n?Lr:t?Pr:Ht;return!t&&ve(o,"iterate",c?fr:at),{next(){const{value:h,done:m}=a.next();return m?{value:h,done:m}:{value:l?[f(h[0]),f(h[1])]:f(h),done:m}},[Symbol.iterator](){return this}}}}function ke(e){return function(...t){return e==="delete"?!1:e==="clear"?void 0:this}}function el(){const e={get(o){return zt(this,o)},get size(){return Qt(this)},has:Jt,add:ts,set:ns,delete:rs,clear:ss,forEach:Zt(!1,!1)},t={get(o){return zt(this,o,!1,!0)},get size(){return Qt(this)},has:Jt,add:ts,set:ns,delete:rs,clear:ss,forEach:Zt(!1,!0)},n={get(o){return zt(this,o,!0)},get size(){return Qt(this,!0)},has(o){return Jt.call(this,o,!0)},add:ke("add"),set:ke("set"),delete:ke("delete"),clear:ke("clear"),forEach:Zt(!0,!1)},r={get(o){return zt(this,o,!0,!0)},get size(){return Qt(this,!0)},has(o){return Jt.call(this,o,!0)},add:ke("add"),set:ke("set"),delete:ke("delete"),clear:ke("clear"),forEach:Zt(!0,!0)};return["keys","values","entries",Symbol.iterator].forEach(o=>{e[o]=en(o,!1,!1),n[o]=en(o,!0,!1),t[o]=en(o,!1,!0),r[o]=en(o,!0,!0)}),[e,n,t,r]}const[tl,nl,rl,sl]=el();function Ir(e,t){const n=t?e?sl:rl:e?nl:tl;return(r,s,o)=>s==="__v_isReactive"?!e:s==="__v_isReadonly"?e:s==="__v_raw"?r:Reflect.get(z(n,s)&&s in r?n:r,s,o)}const ol={get:Ir(!1,!1)},il={get:Ir(!1,!0)},ll={get:Ir(!0,!1)};const po=new WeakMap,go=new WeakMap,mo=new WeakMap,cl=new WeakMap;function al(e){switch(e){case"Object":case"Array":return 1;case"Map":case"Set":case"WeakMap":case"WeakSet":return 2;default:return 0}}function ul(e){return e.__v_skip||!Object.isExtensible(e)?0:al(Mi(e))}function On(e){return $t(e)?e:Mr(e,!1,Ji,ol,po)}function fl(e){return Mr(e,!1,Zi,il,go)}function Ln(e){return Mr(e,!0,Qi,ll,mo)}function Mr(e,t,n,r,s){if(!Z(e)||e.__v_raw&&!(t&&e.__v_isReactive))return e;const o=s.get(e);if(o)return o;const i=ul(e);if(i===0)return e;const l=new Proxy(e,i===2?r:n);return s.set(e,l),l}function Rt(e){return $t(e)?Rt(e.__v_raw):!!(e&&e.__v_isReactive)}function $t(e){return!!(e&&e.__v_isReadonly)}function yn(e){return!!(e&&e.__v_isShallow)}function yo(e){return e?!!e.__v_raw:!1}function J(e){const t=e&&e.__v_raw;return t?J(t):e}function dn(e){return Object.isExtensible(e)&&eo(e,"__v_skip",!0),e}const Ht=e=>Z(e)?On(e):e,Pr=e=>Z(e)?Ln(e):e;class _o{constructor(t,n,r,s){this.getter=t,this._setter=n,this.dep=void 0,this.__v_isRef=!0,this.__v_isReadonly=!1,this.effect=new Ar(()=>t(this._value),()=>Ot(this,this.effect._dirtyLevel===3?3:4)),this.effect.computed=this,this.effect.active=this._cacheable=!s,this.__v_isReadonly=r}get value(){const t=J(this),n=t.effect._dirtyLevel;return(!t._cacheable||t.effect.dirty)&&Qe(t._value,t._value=t.effect.run())&&n!==3&&Ot(t,5),Nr(t),t.effect._dirtyLevel>=2&&Ot(t,3),t._value}set value(t){this._setter(t)}get _dirty(){return this.effect.dirty}set _dirty(t){this.effect.dirty=t}}function dl(e,t,n=!1){let r,s;const o=K(e);return o?(r=e,s=xe):(r=e.get,s=e.set),new _o(r,s,o||!s,n)}function Nr(e){var t;ze&&ct&&(e=J(e),lo(ct,(t=e.dep)!=null?t:e.dep=ao(()=>e.dep=void 0,e instanceof _o?e:void 0)))}function Ot(e,t=5,n,r){e=J(e);const s=e.dep;s&&co(s,t)}function de(e){return!!(e&&e.__v_isRef===!0)}function se(e){return vo(e,!1)}function Fr(e){return vo(e,!0)}function vo(e,t){return de(e)?e:new hl(e,t)}class hl{constructor(t,n){this.__v_isShallow=n,this.dep=void 0,this.__v_isRef=!0,this._rawValue=n?t:J(t),this._value=n?t:Ht(t)}get value(){return Nr(this),this._value}set value(t){const n=this.__v_isShallow||yn(t)||$t(t);t=n?t:J(t),Qe(t,this._rawValue)&&(this._rawValue,this._rawValue=t,this._value=n?t:Ht(t),Ot(this,5))}}function bo(e){return de(e)?e.value:e}const pl={get:(e,t,n)=>bo(Reflect.get(e,t,n)),set:(e,t,n,r)=>{const s=e[t];return de(s)&&!de(n)?(s.value=n,!0):Reflect.set(e,t,n,r)}};function wo(e){return Rt(e)?e:new Proxy(e,pl)}class gl{constructor(t){this.dep=void 0,this.__v_isRef=!0;const{get:n,set:r}=t(()=>Nr(this),()=>Ot(this));this._get=n,this._set=r}get value(){return this._get()}set value(t){this._set(t)}}function ml(e){return new gl(e)}class yl{constructor(t,n,r){this._object=t,this._key=n,this._defaultValue=r,this.__v_isRef=!0}get value(){const t=this._object[this._key];return t===void 0?this._defaultValue:t}set value(t){this._object[this._key]=t}get dep(){return qi(J(this._object),this._key)}}class _l{constructor(t){this._getter=t,this.__v_isRef=!0,this.__v_isReadonly=!0}get value(){return this._getter()}}function vl(e,t,n){return de(e)?e:K(e)?new _l(e):Z(e)&&arguments.length>1?bl(e,t,n):se(e)}function bl(e,t,n){const r=e[t];return de(r)?r:new yl(e,t,n)}/**
-* @vue/runtime-core v3.4.30
-* (c) 2018-present Yuxi (Evan) You and Vue contributors
-* @license MIT
-**/function Je(e,t,n,r){try{return r?e(...r):e()}catch(s){Kt(s,t,n)}}function Se(e,t,n,r){if(K(e)){const s=Je(e,t,n,r);return s&&Js(s)&&s.catch(o=>{Kt(o,t,n)}),s}if(k(e)){const s=[];for(let o=0;o<e.length;o++)s.push(Se(e[o],t,n,r));return s}}function Kt(e,t,n,r=!0){const s=t?t.vnode:null;if(t){let o=t.parent;const i=t.proxy,l=`https://vuejs.org/error-reference/#runtime-${n}`;for(;o;){const a=o.ec;if(a){for(let f=0;f<a.length;f++)if(a[f](e,i,l)===!1)return}o=o.parent}const c=t.appContext.config.errorHandler;if(c){tt(),Je(c,null,10,[e,i,l]),Ue();return}}wl(e,n,s,r)}function wl(e,t,n,r=!0){console.error(e)}let jt=!1,dr=!1;const pe=[];let Pe=0;const vt=[];let qe=null,it=0;const Eo=Promise.resolve();let $r=null;function In(e){const t=$r||Eo;return e?t.then(this?e.bind(this):e):t}function El(e){let t=Pe+1,n=pe.length;for(;t<n;){const r=t+n>>>1,s=pe[r],o=Vt(s);o<e||o===e&&s.pre?t=r+1:n=r}return t}function Mn(e){(!pe.length||!pe.includes(e,jt&&e.allowRecurse?Pe+1:Pe))&&(e.id==null?pe.push(e):pe.splice(El(e.id),0,e),Co())}function Co(){!jt&&!dr&&(dr=!0,$r=Eo.then(xo))}function Cl(e){const t=pe.indexOf(e);t>Pe&&pe.splice(t,1)}function xl(e){k(e)?vt.push(...e):(!qe||!qe.includes(e,e.allowRecurse?it+1:it))&&vt.push(e),Co()}function os(e,t,n=jt?Pe+1:0){for(;n<pe.length;n++){const r=pe[n];if(r&&r.pre){if(e&&r.id!==e.uid)continue;pe.splice(n,1),n--,r()}}}function _n(e){if(vt.length){const t=[...new Set(vt)].sort((n,r)=>Vt(n)-Vt(r));if(vt.length=0,qe){qe.push(...t);return}for(qe=t,it=0;it<qe.length;it++){const n=qe[it];n.active!==!1&&n()}qe=null,it=0}}const Vt=e=>e.id==null?1/0:e.id,Sl=(e,t)=>{const n=Vt(e)-Vt(t);if(n===0){if(e.pre&&!t.pre)return-1;if(t.pre&&!e.pre)return 1}return n};function xo(e){dr=!1,jt=!0,pe.sort(Sl);try{for(Pe=0;Pe<pe.length;Pe++){const t=pe[Pe];t&&t.active!==!1&&Je(t,null,14)}}finally{Pe=0,pe.length=0,_n(),jt=!1,$r=null,(pe.length||vt.length)&&xo()}}function Tl(e,t,...n){if(e.isUnmounted)return;const r=e.vnode.props||te;let s=n;const o=t.startsWith("update:"),i=o&&t.slice(7);if(i&&i in r){const f=`${i==="modelValue"?"model":i}Modifiers`,{number:h,trim:m}=r[f]||te;m&&(s=n.map(_=>oe(_)?_.trim():_)),h&&(s=n.map(cr))}let l,c=r[l=un(t)]||r[l=un($e(t))];!c&&o&&(c=r[l=un(ft(t))]),c&&Se(c,e,6,s);const a=r[l+"Once"];if(a){if(!e.emitted)e.emitted={};else if(e.emitted[l])return;e.emitted[l]=!0,Se(a,e,6,s)}}function So(e,t,n=!1){const r=t.emitsCache,s=r.get(e);if(s!==void 0)return s;const o=e.emits;let i={},l=!1;if(!K(e)){const c=a=>{const f=So(a,t,!0);f&&(l=!0,le(i,f))};!n&&t.mixins.length&&t.mixins.forEach(c),e.extends&&c(e.extends),e.mixins&&e.mixins.forEach(c)}return!o&&!l?(Z(e)&&r.set(e,null),null):(k(o)?o.forEach(c=>i[c]=null):le(i,o),Z(e)&&r.set(e,i),i)}function Pn(e,t){return!e||!kt(t)?!1:(t=t.slice(2).replace(/Once$/,""),z(e,t[0].toLowerCase()+t.slice(1))||z(e,ft(t))||z(e,t))}let fe=null,Nn=null;function vn(e){const t=fe;return fe=e,Nn=e&&e.type.__scopeId||null,t}function ru(e){Nn=e}function su(){Nn=null}function Al(e,t=fe,n){if(!t||e._n)return e;const r=(...s)=>{r._d&&ws(-1);const o=vn(t);let i;try{i=e(...s)}finally{vn(o),r._d&&ws(1)}return i};return r._n=!0,r._c=!0,r._d=!0,r}function Kn(e){const{type:t,vnode:n,proxy:r,withProxy:s,propsOptions:[o],slots:i,attrs:l,emit:c,render:a,renderCache:f,props:h,data:m,setupState:_,ctx:C,inheritAttrs:I}=e,H=vn(e);let W,D;try{if(n.shapeFlag&4){const y=s||r,M=y;W=Ae(a.call(M,y,f,h,_,m,C)),D=l}else{const y=t;W=Ae(y.length>1?y(h,{attrs:l,slots:i,emit:c}):y(h,null)),D=t.props?l:Rl(l)}}catch(y){Nt.length=0,Kt(y,e,1),W=ie(me)}let p=W;if(D&&I!==!1){const y=Object.keys(D),{shapeFlag:M}=p;y.length&&M&7&&(o&&y.some(Er)&&(D=Ol(D,o)),p=Ze(p,D,!1,!0))}return n.dirs&&(p=Ze(p,null,!1,!0),p.dirs=p.dirs?p.dirs.concat(n.dirs):n.dirs),n.transition&&(p.transition=n.transition),W=p,vn(H),W}const Rl=e=>{let t;for(const n in e)(n==="class"||n==="style"||kt(n))&&((t||(t={}))[n]=e[n]);return t},Ol=(e,t)=>{const n={};for(const r in e)(!Er(r)||!(r.slice(9)in t))&&(n[r]=e[r]);return n};function Ll(e,t,n){const{props:r,children:s,component:o}=e,{props:i,children:l,patchFlag:c}=t,a=o.emitsOptions;if(t.dirs||t.transition)return!0;if(n&&c>=0){if(c&1024)return!0;if(c&16)return r?is(r,i,a):!!i;if(c&8){const f=t.dynamicProps;for(let h=0;h<f.length;h++){const m=f[h];if(i[m]!==r[m]&&!Pn(a,m))return!0}}}else return(s||l)&&(!l||!l.$stable)?!0:r===i?!1:r?i?is(r,i,a):!0:!!i;return!1}function is(e,t,n){const r=Object.keys(t);if(r.length!==Object.keys(e).length)return!0;for(let s=0;s<r.length;s++){const o=r[s];if(t[o]!==e[o]&&!Pn(n,o))return!0}return!1}function Il({vnode:e,parent:t},n){for(;t;){const r=t.subTree;if(r.suspense&&r.suspense.activeBranch===e&&(r.el=e.el),r===e)(e=t.vnode).el=n,t=t.parent;else break}}const To="components";function ou(e,t){return Ro(To,e,!0,t)||e}const Ao=Symbol.for("v-ndc");function iu(e){return oe(e)?Ro(To,e,!1)||e:e||Ao}function Ro(e,t,n=!0,r=!1){const s=fe||ue;if(s){const o=s.type;{const l=Oc(o,!1);if(l&&(l===t||l===$e(t)||l===An($e(t))))return o}const i=ls(s[e]||o[e],t)||ls(s.appContext[e],t);return!i&&r?o:i}}function ls(e,t){return e&&(e[t]||e[$e(t)]||e[An($e(t))])}const Ml=e=>e.__isSuspense;function Oo(e,t){t&&t.pendingBranch?k(e)?t.effects.push(...e):t.effects.push(e):xl(e)}function Fn(e,t,n=ue,r=!1){if(n){const s=n[e]||(n[e]=[]),o=t.__weh||(t.__weh=(...i)=>{tt();const l=qt(n),c=Se(t,n,e,i);return l(),Ue(),c});return r?s.unshift(o):s.push(o),o}}const Be=e=>(t,n=ue)=>{(!Gt||e==="sp")&&Fn(e,(...r)=>t(...r),n)},Pl=Be("bm"),xt=Be("m"),Nl=Be("bu"),Fl=Be("u"),Lo=Be("bum"),$n=Be("um"),$l=Be("sp"),Hl=Be("rtg"),jl=Be("rtc");function Vl(e,t=ue){Fn("ec",e,t)}function lu(e,t){if(fe===null)return e;const n=Vn(fe),r=e.dirs||(e.dirs=[]);for(let s=0;s<t.length;s++){let[o,i,l,c=te]=t[s];o&&(K(o)&&(o={mounted:o,updated:o}),o.deep&&Ye(i),r.push({dir:o,instance:n,value:i,oldValue:void 0,arg:l,modifiers:c}))}return e}function Me(e,t,n,r){const s=e.dirs,o=t&&t.dirs;for(let i=0;i<s.length;i++){const l=s[i];o&&(l.oldValue=o[i].value);let c=l.dir[r];c&&(tt(),Se(c,n,8,[e.el,l,e,t]),Ue())}}function cu(e,t,n,r){let s;const o=n;if(k(e)||oe(e)){s=new Array(e.length);for(let i=0,l=e.length;i<l;i++)s[i]=t(e[i],i,void 0,o)}else if(typeof e=="number"){s=new Array(e);for(let i=0;i<e;i++)s[i]=t(i+1,i,void 0,o)}else if(Z(e))if(e[Symbol.iterator])s=Array.from(e,(i,l)=>t(i,l,void 0,o));else{const i=Object.keys(e);s=new Array(i.length);for(let l=0,c=i.length;l<c;l++){const a=i[l];s[l]=t(e[a],a,l,o)}}else s=[];return s}/*! #__NO_SIDE_EFFECTS__ */function Hr(e,t){return K(e)?le({name:e.name},t,{setup:e}):e}const bt=e=>!!e.type.__asyncLoader;/*! #__NO_SIDE_EFFECTS__ */function au(e){K(e)&&(e={loader:e});const{loader:t,loadingComponent:n,errorComponent:r,delay:s=200,timeout:o,suspensible:i=!0,onError:l}=e;let c=null,a,f=0;const h=()=>(f++,c=null,m()),m=()=>{let _;return c||(_=c=t().catch(C=>{if(C=C instanceof Error?C:new Error(String(C)),l)return new Promise((I,H)=>{l(C,()=>I(h()),()=>H(C),f+1)});throw C}).then(C=>_!==c&&c?c:(C&&(C.__esModule||C[Symbol.toStringTag]==="Module")&&(C=C.default),a=C,C)))};return Hr({name:"AsyncComponentWrapper",__asyncLoader:m,get __asyncResolved(){return a},setup(){const _=ue;if(a)return()=>Wn(a,_);const C=D=>{c=null,Kt(D,_,13,!r)};if(i&&_.suspense||Gt)return m().then(D=>()=>Wn(D,_)).catch(D=>(C(D),()=>r?ie(r,{error:D}):null));const I=se(!1),H=se(),W=se(!!s);return s&&setTimeout(()=>{W.value=!1},s),o!=null&&setTimeout(()=>{if(!I.value&&!H.value){const D=new Error(`Async component timed out after ${o}ms.`);C(D),H.value=D}},o),m().then(()=>{I.value=!0,_.parent&&Wt(_.parent.vnode)&&(_.parent.effect.dirty=!0,Mn(_.parent.update))}).catch(D=>{C(D),H.value=D}),()=>{if(I.value&&a)return Wn(a,_);if(H.value&&r)return ie(r,{error:H.value});if(n&&!W.value)return ie(n)}}})}function Wn(e,t){const{ref:n,props:r,children:s,ce:o}=t.vnode,i=ie(e,r,s);return i.ref=n,i.ce=o,delete t.vnode.ce,i}function uu(e,t,n={},r,s){if(fe.isCE||fe.parent&&bt(fe.parent)&&fe.parent.isCE)return t!=="default"&&(n.name=t),ie("slot",n,r&&r());let o=e[t];o&&o._c&&(o._d=!1),Qo();const i=o&&Io(o(n)),l=ei(_e,{key:n.key||i&&i.key||`_${t}`},i||(r?r():[]),i&&e._===1?64:-2);return!s&&l.scopeId&&(l.slotScopeIds=[l.scopeId+"-s"]),o&&o._c&&(o._d=!0),l}function Io(e){return e.some(t=>Cn(t)?!(t.type===me||t.type===_e&&!Io(t.children)):!0)?e:null}function fu(e,t){const n={};for(const r in e)n[/[A-Z]/.test(r)?`on:${r}`:un(r)]=e[r];return n}const hr=e=>e?si(e)?Vn(e):hr(e.parent):null,Lt=le(Object.create(null),{$:e=>e,$el:e=>e.vnode.el,$data:e=>e.data,$props:e=>e.props,$attrs:e=>e.attrs,$slots:e=>e.slots,$refs:e=>e.refs,$parent:e=>hr(e.parent),$root:e=>hr(e.root),$emit:e=>e.emit,$options:e=>jr(e),$forceUpdate:e=>e.f||(e.f=()=>{e.effect.dirty=!0,Mn(e.update)}),$nextTick:e=>e.n||(e.n=In.bind(e.proxy)),$watch:e=>ac.bind(e)}),qn=(e,t)=>e!==te&&!e.__isScriptSetup&&z(e,t),Dl={get({_:e},t){if(t==="__v_skip")return!0;const{ctx:n,setupState:r,data:s,props:o,accessCache:i,type:l,appContext:c}=e;let a;if(t[0]!=="$"){const _=i[t];if(_!==void 0)switch(_){case 1:return r[t];case 2:return s[t];case 4:return n[t];case 3:return o[t]}else{if(qn(r,t))return i[t]=1,r[t];if(s!==te&&z(s,t))return i[t]=2,s[t];if((a=e.propsOptions[0])&&z(a,t))return i[t]=3,o[t];if(n!==te&&z(n,t))return i[t]=4,n[t];pr&&(i[t]=0)}}const f=Lt[t];let h,m;if(f)return t==="$attrs"&&ve(e.attrs,"get",""),f(e);if((h=l.__cssModules)&&(h=h[t]))return h;if(n!==te&&z(n,t))return i[t]=4,n[t];if(m=c.config.globalProperties,z(m,t))return m[t]},set({_:e},t,n){const{data:r,setupState:s,ctx:o}=e;return qn(s,t)?(s[t]=n,!0):r!==te&&z(r,t)?(r[t]=n,!0):z(e.props,t)||t[0]==="$"&&t.slice(1)in e?!1:(o[t]=n,!0)},has({_:{data:e,setupState:t,accessCache:n,ctx:r,appContext:s,propsOptions:o}},i){let l;return!!n[i]||e!==te&&z(e,i)||qn(t,i)||(l=o[0])&&z(l,i)||z(r,i)||z(Lt,i)||z(s.config.globalProperties,i)},defineProperty(e,t,n){return n.get!=null?e._.accessCache[t]=0:z(n,"value")&&this.set(e,t,n.value,null),Reflect.defineProperty(e,t,n)}};function du(){return Ul().slots}function Ul(){const e=jn();return e.setupContext||(e.setupContext=ii(e))}function cs(e){return k(e)?e.reduce((t,n)=>(t[n]=null,t),{}):e}let pr=!0;function Bl(e){const t=jr(e),n=e.proxy,r=e.ctx;pr=!1,t.beforeCreate&&as(t.beforeCreate,e,"bc");const{data:s,computed:o,methods:i,watch:l,provide:c,inject:a,created:f,beforeMount:h,mounted:m,beforeUpdate:_,updated:C,activated:I,deactivated:H,beforeDestroy:W,beforeUnmount:D,destroyed:p,unmounted:y,render:M,renderTracked:A,renderTriggered:F,errorCaptured:$,serverPrefetch:L,expose:w,inheritAttrs:N,components:T,directives:G,filters:ne}=t;if(a&&kl(a,r,null),i)for(const Y in i){const V=i[Y];K(V)&&(r[Y]=V.bind(n))}if(s){const Y=s.call(n,n);Z(Y)&&(e.data=On(Y))}if(pr=!0,o)for(const Y in o){const V=o[Y],He=K(V)?V.bind(n,n):K(V.get)?V.get.bind(n,n):xe,Xt=!K(V)&&K(V.set)?V.set.bind(n):xe,nt=re({get:He,set:Xt});Object.defineProperty(r,Y,{enumerable:!0,configurable:!0,get:()=>nt.value,set:Le=>nt.value=Le})}if(l)for(const Y in l)Mo(l[Y],r,n,Y);if(c){const Y=K(c)?c.call(n):c;Reflect.ownKeys(Y).forEach(V=>{Yl(V,Y[V])})}f&&as(f,e,"c");function U(Y,V){k(V)?V.forEach(He=>Y(He.bind(n))):V&&Y(V.bind(n))}if(U(Pl,h),U(xt,m),U(Nl,_),U(Fl,C),U(uc,I),U(fc,H),U(Vl,$),U(jl,A),U(Hl,F),U(Lo,D),U($n,y),U($l,L),k(w))if(w.length){const Y=e.exposed||(e.exposed={});w.forEach(V=>{Object.defineProperty(Y,V,{get:()=>n[V],set:He=>n[V]=He})})}else e.exposed||(e.exposed={});M&&e.render===xe&&(e.render=M),N!=null&&(e.inheritAttrs=N),T&&(e.components=T),G&&(e.directives=G)}function kl(e,t,n=xe){k(e)&&(e=gr(e));for(const r in e){const s=e[r];let o;Z(s)?"default"in s?o=wt(s.from||r,s.default,!0):o=wt(s.from||r):o=wt(s),de(o)?Object.defineProperty(t,r,{enumerable:!0,configurable:!0,get:()=>o.value,set:i=>o.value=i}):t[r]=o}}function as(e,t,n){Se(k(e)?e.map(r=>r.bind(t.proxy)):e.bind(t.proxy),t,n)}function Mo(e,t,n,r){const s=r.includes(".")?Wo(n,r):()=>n[r];if(oe(e)){const o=t[e];K(o)&&Ne(s,o)}else if(K(e))Ne(s,e.bind(n));else if(Z(e))if(k(e))e.forEach(o=>Mo(o,t,n,r));else{const o=K(e.handler)?e.handler.bind(n):t[e.handler];K(o)&&Ne(s,o,e)}}function jr(e){const t=e.type,{mixins:n,extends:r}=t,{mixins:s,optionsCache:o,config:{optionMergeStrategies:i}}=e.appContext,l=o.get(t);let c;return l?c=l:!s.length&&!n&&!r?c=t:(c={},s.length&&s.forEach(a=>bn(c,a,i,!0)),bn(c,t,i)),Z(t)&&o.set(t,c),c}function bn(e,t,n,r=!1){const{mixins:s,extends:o}=t;o&&bn(e,o,n,!0),s&&s.forEach(i=>bn(e,i,n,!0));for(const i in t)if(!(r&&i==="expose")){const l=Kl[i]||n&&n[i];e[i]=l?l(e[i],t[i]):t[i]}return e}const Kl={data:us,props:fs,emits:fs,methods:At,computed:At,beforeCreate:ge,created:ge,beforeMount:ge,mounted:ge,beforeUpdate:ge,updated:ge,beforeDestroy:ge,beforeUnmount:ge,destroyed:ge,unmounted:ge,activated:ge,deactivated:ge,errorCaptured:ge,serverPrefetch:ge,components:At,directives:At,watch:ql,provide:us,inject:Wl};function us(e,t){return t?e?function(){return le(K(e)?e.call(this,this):e,K(t)?t.call(this,this):t)}:t:e}function Wl(e,t){return At(gr(e),gr(t))}function gr(e){if(k(e)){const t={};for(let n=0;n<e.length;n++)t[e[n]]=e[n];return t}return e}function ge(e,t){return e?[...new Set([].concat(e,t))]:t}function At(e,t){return e?le(Object.create(null),e,t):t}function fs(e,t){return e?k(e)&&k(t)?[...new Set([...e,...t])]:le(Object.create(null),cs(e),cs(t??{})):t}function ql(e,t){if(!e)return t;if(!t)return e;const n=le(Object.create(null),e);for(const r in t)n[r]=ge(e[r],t[r]);return n}function Po(){return{app:null,config:{isNativeTag:Li,performance:!1,globalProperties:{},optionMergeStrategies:{},errorHandler:void 0,warnHandler:void 0,compilerOptions:{}},mixins:[],components:{},directives:{},provides:Object.create(null),optionsCache:new WeakMap,propsCache:new WeakMap,emitsCache:new WeakMap}}let Gl=0;function Xl(e,t){return function(r,s=null){K(r)||(r=le({},r)),s!=null&&!Z(s)&&(s=null);const o=Po(),i=new WeakSet;let l=!1;const c=o.app={_uid:Gl++,_component:r,_props:s,_container:null,_context:o,_instance:null,version:Ic,get config(){return o.config},set config(a){},use(a,...f){return i.has(a)||(a&&K(a.install)?(i.add(a),a.install(c,...f)):K(a)&&(i.add(a),a(c,...f))),c},mixin(a){return o.mixins.includes(a)||o.mixins.push(a),c},component(a,f){return f?(o.components[a]=f,c):o.components[a]},directive(a,f){return f?(o.directives[a]=f,c):o.directives[a]},mount(a,f,h){if(!l){const m=ie(r,s);return m.appContext=o,h===!0?h="svg":h===!1&&(h=void 0),f&&t?t(m,a):e(m,a,h),l=!0,c._container=a,a.__vue_app__=c,Vn(m.component)}},unmount(){l&&(e(null,c._container),delete c._container.__vue_app__)},provide(a,f){return o.provides[a]=f,c},runWithContext(a){const f=It;It=c;try{return a()}finally{It=f}}};return c}}let It=null;function Yl(e,t){if(ue){let n=ue.provides;const r=ue.parent&&ue.parent.provides;r===n&&(n=ue.provides=Object.create(r)),n[e]=t}}function wt(e,t,n=!1){const r=ue||fe;if(r||It){const s=r?r.parent==null?r.vnode.appContext&&r.vnode.appContext.provides:r.parent.provides:It._context.provides;if(s&&e in s)return s[e];if(arguments.length>1)return n&&K(t)?t.call(r&&r.proxy):t}}const No={},Fo=()=>Object.create(No),$o=e=>Object.getPrototypeOf(e)===No;function zl(e,t,n,r=!1){const s={},o=Fo();e.propsDefaults=Object.create(null),Ho(e,t,s,o);for(const i in e.propsOptions[0])i in s||(s[i]=void 0);n?e.props=r?s:fl(s):e.type.props?e.props=s:e.props=o,e.attrs=o}function Jl(e,t,n,r){const{props:s,attrs:o,vnode:{patchFlag:i}}=e,l=J(s),[c]=e.propsOptions;let a=!1;if((r||i>0)&&!(i&16)){if(i&8){const f=e.vnode.dynamicProps;for(let h=0;h<f.length;h++){let m=f[h];if(Pn(e.emitsOptions,m))continue;const _=t[m];if(c)if(z(o,m))_!==o[m]&&(o[m]=_,a=!0);else{const C=$e(m);s[C]=mr(c,l,C,_,e,!1)}else _!==o[m]&&(o[m]=_,a=!0)}}}else{Ho(e,t,s,o)&&(a=!0);let f;for(const h in l)(!t||!z(t,h)&&((f=ft(h))===h||!z(t,f)))&&(c?n&&(n[h]!==void 0||n[f]!==void 0)&&(s[h]=mr(c,l,h,void 0,e,!0)):delete s[h]);if(o!==l)for(const h in o)(!t||!z(t,h))&&(delete o[h],a=!0)}a&&De(e.attrs,"set","")}function Ho(e,t,n,r){const[s,o]=e.propsOptions;let i=!1,l;if(t)for(let c in t){if(_t(c))continue;const a=t[c];let f;s&&z(s,f=$e(c))?!o||!o.includes(f)?n[f]=a:(l||(l={}))[f]=a:Pn(e.emitsOptions,c)||(!(c in r)||a!==r[c])&&(r[c]=a,i=!0)}if(o){const c=J(n),a=l||te;for(let f=0;f<o.length;f++){const h=o[f];n[h]=mr(s,c,h,a[h],e,!z(a,h))}}return i}function mr(e,t,n,r,s,o){const i=e[n];if(i!=null){const l=z(i,"default");if(l&&r===void 0){const c=i.default;if(i.type!==Function&&!i.skipFactory&&K(c)){const{propsDefaults:a}=s;if(n in a)r=a[n];else{const f=qt(s);r=a[n]=c.call(null,t),f()}}else r=c}i[0]&&(o&&!l?r=!1:i[1]&&(r===""||r===ft(n))&&(r=!0))}return r}function jo(e,t,n=!1){const r=t.propsCache,s=r.get(e);if(s)return s;const o=e.props,i={},l=[];let c=!1;if(!K(e)){const f=h=>{c=!0;const[m,_]=jo(h,t,!0);le(i,m),_&&l.push(..._)};!n&&t.mixins.length&&t.mixins.forEach(f),e.extends&&f(e.extends),e.mixins&&e.mixins.forEach(f)}if(!o&&!c)return Z(e)&&r.set(e,mt),mt;if(k(o))for(let f=0;f<o.length;f++){const h=$e(o[f]);ds(h)&&(i[h]=te)}else if(o)for(const f in o){const h=$e(f);if(ds(h)){const m=o[f],_=i[h]=k(m)||K(m)?{type:m}:le({},m);if(_){const C=gs(Boolean,_.type),I=gs(String,_.type);_[0]=C>-1,_[1]=I<0||C<I,(C>-1||z(_,"default"))&&l.push(h)}}}const a=[i,l];return Z(e)&&r.set(e,a),a}function ds(e){return e[0]!=="$"&&!_t(e)}function hs(e){return e===null?"null":typeof e=="function"?e.name||"":typeof e=="object"&&e.constructor&&e.constructor.name||""}function ps(e,t){return hs(e)===hs(t)}function gs(e,t){return k(t)?t.findIndex(n=>ps(n,e)):K(t)&&ps(t,e)?0:-1}const Vo=e=>e[0]==="_"||e==="$stable",Vr=e=>k(e)?e.map(Ae):[Ae(e)],Ql=(e,t,n)=>{if(t._n)return t;const r=Al((...s)=>Vr(t(...s)),n);return r._c=!1,r},Do=(e,t,n)=>{const r=e._ctx;for(const s in e){if(Vo(s))continue;const o=e[s];if(K(o))t[s]=Ql(s,o,r);else if(o!=null){const i=Vr(o);t[s]=()=>i}}},Uo=(e,t)=>{const n=Vr(t);e.slots.default=()=>n},Zl=(e,t)=>{const n=e.slots=Fo();if(e.vnode.shapeFlag&32){const r=t._;r?(le(n,t),eo(n,"_",r,!0)):Do(t,n)}else t&&Uo(e,t)},ec=(e,t,n)=>{const{vnode:r,slots:s}=e;let o=!0,i=te;if(r.shapeFlag&32){const l=t._;l?n&&l===1?o=!1:(le(s,t),!n&&l===1&&delete s._):(o=!t.$stable,Do(t,s)),i=t}else t&&(Uo(e,t),i={default:1});if(o)for(const l in s)!Vo(l)&&i[l]==null&&delete s[l]};function wn(e,t,n,r,s=!1){if(k(e)){e.forEach((m,_)=>wn(m,t&&(k(t)?t[_]:t),n,r,s));return}if(bt(r)&&!s)return;const o=r.shapeFlag&4?Vn(r.component):r.el,i=s?null:o,{i:l,r:c}=e,a=t&&t.r,f=l.refs===te?l.refs={}:l.refs,h=l.setupState;if(a!=null&&a!==c&&(oe(a)?(f[a]=null,z(h,a)&&(h[a]=null)):de(a)&&(a.value=null)),K(c))Je(c,l,12,[i,f]);else{const m=oe(c),_=de(c);if(m||_){const C=()=>{if(e.f){const I=m?z(h,c)?h[c]:f[c]:c.value;s?k(I)&&Cr(I,o):k(I)?I.includes(o)||I.push(o):m?(f[c]=[o],z(h,c)&&(h[c]=f[c])):(c.value=[o],e.k&&(f[e.k]=c.value))}else m?(f[c]=i,z(h,c)&&(h[c]=i)):_&&(c.value=i,e.k&&(f[e.k]=i))};i?(C.id=-1,ye(C,n)):C()}}}let ms=!1;const pt=()=>{ms||(console.error("Hydration completed but contains mismatches."),ms=!0)},tc=e=>e.namespaceURI.includes("svg")&&e.tagName!=="foreignObject",nc=e=>e.namespaceURI.includes("MathML"),tn=e=>{if(tc(e))return"svg";if(nc(e))return"mathml"},nn=e=>e.nodeType===8;function rc(e){const{mt:t,p:n,o:{patchProp:r,createText:s,nextSibling:o,parentNode:i,remove:l,insert:c,createComment:a}}=e,f=(p,y)=>{if(!y.hasChildNodes()){n(null,p,y),_n(),y._vnode=p;return}h(y.firstChild,p,null,null,null),_n(),y._vnode=p},h=(p,y,M,A,F,$=!1)=>{$=$||!!y.dynamicChildren;const L=nn(p)&&p.data==="[",w=()=>I(p,y,M,A,F,L),{type:N,ref:T,shapeFlag:G,patchFlag:ne}=y;let ce=p.nodeType;y.el=p,ne===-2&&($=!1,y.dynamicChildren=null);let U=null;switch(N){case Et:ce!==3?y.children===""?(c(y.el=s(""),i(p),p),U=p):U=w():(p.data!==y.children&&(pt(),p.data=y.children),U=o(p));break;case me:D(p)?(U=o(p),W(y.el=p.content.firstChild,p,M)):ce!==8||L?U=w():U=o(p);break;case Pt:if(L&&(p=o(p),ce=p.nodeType),ce===1||ce===3){U=p;const Y=!y.children.length;for(let V=0;V<y.staticCount;V++)Y&&(y.children+=U.nodeType===1?U.outerHTML:U.data),V===y.staticCount-1&&(y.anchor=U),U=o(U);return L?o(U):U}else w();break;case _e:L?U=C(p,y,M,A,F,$):U=w();break;default:if(G&1)(ce!==1||y.type.toLowerCase()!==p.tagName.toLowerCase())&&!D(p)?U=w():U=m(p,y,M,A,F,$);else if(G&6){y.slotScopeIds=F;const Y=i(p);if(L?U=H(p):nn(p)&&p.data==="teleport start"?U=H(p,p.data,"teleport end"):U=o(p),t(y,Y,null,M,A,tn(Y),$),bt(y)){let V;L?(V=ie(_e),V.anchor=U?U.previousSibling:Y.lastChild):V=p.nodeType===3?ri(""):ie("div"),V.el=p,y.component.subTree=V}}else G&64?ce!==8?U=w():U=y.type.hydrate(p,y,M,A,F,$,e,_):G&128&&(U=y.type.hydrate(p,y,M,A,tn(i(p)),F,$,e,h))}return T!=null&&wn(T,null,A,y),U},m=(p,y,M,A,F,$)=>{$=$||!!y.dynamicChildren;const{type:L,props:w,patchFlag:N,shapeFlag:T,dirs:G,transition:ne}=y,ce=L==="input"||L==="option";if(ce||N!==-1){G&&Me(y,null,M,"created");let U=!1;if(D(p)){U=ko(A,ne)&&M&&M.vnode.props&&M.vnode.props.appear;const V=p.content.firstChild;U&&ne.beforeEnter(V),W(V,p,M),y.el=p=V}if(T&16&&!(w&&(w.innerHTML||w.textContent))){let V=_(p.firstChild,y,p,M,A,F,$);for(;V;){pt();const He=V;V=V.nextSibling,l(He)}}else T&8&&p.textContent!==y.children&&(pt(),p.textContent=y.children);if(w)if(ce||!$||N&48)for(const V in w)(ce&&(V.endsWith("value")||V==="indeterminate")||kt(V)&&!_t(V)||V[0]===".")&&r(p,V,null,w[V],void 0,void 0,M);else w.onClick&&r(p,"onClick",null,w.onClick,void 0,void 0,M);let Y;(Y=w&&w.onVnodeBeforeMount)&&Ce(Y,M,y),G&&Me(y,null,M,"beforeMount"),((Y=w&&w.onVnodeMounted)||G||U)&&Oo(()=>{Y&&Ce(Y,M,y),U&&ne.enter(p),G&&Me(y,null,M,"mounted")},A)}return p.nextSibling},_=(p,y,M,A,F,$,L)=>{L=L||!!y.dynamicChildren;const w=y.children,N=w.length;for(let T=0;T<N;T++){const G=L?w[T]:w[T]=Ae(w[T]);p?p=h(p,G,A,F,$,L):G.type===Et&&!G.children?c(G.el=s(""),M):(pt(),n(null,G,M,null,A,F,tn(M),$))}return p},C=(p,y,M,A,F,$)=>{const{slotScopeIds:L}=y;L&&(F=F?F.concat(L):L);const w=i(p),N=_(o(p),y,w,M,A,F,$);return N&&nn(N)&&N.data==="]"?o(y.anchor=N):(pt(),c(y.anchor=a("]"),w,N),N)},I=(p,y,M,A,F,$)=>{if(pt(),y.el=null,$){const N=H(p);for(;;){const T=o(p);if(T&&T!==N)l(T);else break}}const L=o(p),w=i(p);return l(p),n(null,y,w,L,M,A,tn(w),F),L},H=(p,y="[",M="]")=>{let A=0;for(;p;)if(p=o(p),p&&nn(p)&&(p.data===y&&A++,p.data===M)){if(A===0)return o(p);A--}return p},W=(p,y,M)=>{const A=y.parentNode;A&&A.replaceChild(p,y);let F=M;for(;F;)F.vnode.el===y&&(F.vnode.el=F.subTree.el=p),F=F.parent},D=p=>p.nodeType===1&&p.tagName.toLowerCase()==="template";return[f,h]}const ye=Oo;function sc(e){return Bo(e)}function oc(e){return Bo(e,rc)}function Bo(e,t){const n=to();n.__VUE__=!0;const{insert:r,remove:s,patchProp:o,createElement:i,createText:l,createComment:c,setText:a,setElementText:f,parentNode:h,nextSibling:m,setScopeId:_=xe,insertStaticContent:C}=e,I=(u,d,g,v=null,b=null,S=null,O=void 0,x=null,R=!!d.dynamicChildren)=>{if(u===d)return;u&&!lt(u,d)&&(v=Yt(u),Le(u,b,S,!0),u=null),d.patchFlag===-2&&(R=!1,d.dynamicChildren=null);const{type:E,ref:P,shapeFlag:B}=d;switch(E){case Et:H(u,d,g,v);break;case me:W(u,d,g,v);break;case Pt:u==null&&D(d,g,v,O);break;case _e:T(u,d,g,v,b,S,O,x,R);break;default:B&1?M(u,d,g,v,b,S,O,x,R):B&6?G(u,d,g,v,b,S,O,x,R):(B&64||B&128)&&E.process(u,d,g,v,b,S,O,x,R,dt)}P!=null&&b&&wn(P,u&&u.ref,S,d||u,!d)},H=(u,d,g,v)=>{if(u==null)r(d.el=l(d.children),g,v);else{const b=d.el=u.el;d.children!==u.children&&a(b,d.children)}},W=(u,d,g,v)=>{u==null?r(d.el=c(d.children||""),g,v):d.el=u.el},D=(u,d,g,v)=>{[u.el,u.anchor]=C(u.children,d,g,v,u.el,u.anchor)},p=({el:u,anchor:d},g,v)=>{let b;for(;u&&u!==d;)b=m(u),r(u,g,v),u=b;r(d,g,v)},y=({el:u,anchor:d})=>{let g;for(;u&&u!==d;)g=m(u),s(u),u=g;s(d)},M=(u,d,g,v,b,S,O,x,R)=>{d.type==="svg"?O="svg":d.type==="math"&&(O="mathml"),u==null?A(d,g,v,b,S,O,x,R):L(u,d,b,S,O,x,R)},A=(u,d,g,v,b,S,O,x)=>{let R,E;const{props:P,shapeFlag:B,transition:j,dirs:q}=u;if(R=u.el=i(u.type,S,P&&P.is,P),B&8?f(R,u.children):B&16&&$(u.children,R,null,v,b,Gn(u,S),O,x),q&&Me(u,null,v,"created"),F(R,u,u.scopeId,O,v),P){for(const ee in P)ee!=="value"&&!_t(ee)&&o(R,ee,null,P[ee],S,u.children,v,b,je);"value"in P&&o(R,"value",null,P.value,S),(E=P.onVnodeBeforeMount)&&Ce(E,v,u)}q&&Me(u,null,v,"beforeMount");const X=ko(b,j);X&&j.beforeEnter(R),r(R,d,g),((E=P&&P.onVnodeMounted)||X||q)&&ye(()=>{E&&Ce(E,v,u),X&&j.enter(R),q&&Me(u,null,v,"mounted")},b)},F=(u,d,g,v,b)=>{if(g&&_(u,g),v)for(let S=0;S<v.length;S++)_(u,v[S]);if(b){let S=b.subTree;if(d===S){const O=b.vnode;F(u,O,O.scopeId,O.slotScopeIds,b.parent)}}},$=(u,d,g,v,b,S,O,x,R=0)=>{for(let E=R;E<u.length;E++){const P=u[E]=x?Xe(u[E]):Ae(u[E]);I(null,P,d,g,v,b,S,O,x)}},L=(u,d,g,v,b,S,O)=>{const x=d.el=u.el;let{patchFlag:R,dynamicChildren:E,dirs:P}=d;R|=u.patchFlag&16;const B=u.props||te,j=d.props||te;let q;if(g&&rt(g,!1),(q=j.onVnodeBeforeUpdate)&&Ce(q,g,d,u),P&&Me(d,u,g,"beforeUpdate"),g&&rt(g,!0),E?w(u.dynamicChildren,E,x,g,v,Gn(d,b),S):O||V(u,d,x,null,g,v,Gn(d,b),S,!1),R>0){if(R&16)N(x,d,B,j,g,v,b);else if(R&2&&B.class!==j.class&&o(x,"class",null,j.class,b),R&4&&o(x,"style",B.style,j.style,b),R&8){const X=d.dynamicProps;for(let ee=0;ee<X.length;ee++){const Q=X[ee],ae=B[Q],Te=j[Q];(Te!==ae||Q==="value")&&o(x,Q,ae,Te,b,u.children,g,v,je)}}R&1&&u.children!==d.children&&f(x,d.children)}else!O&&E==null&&N(x,d,B,j,g,v,b);((q=j.onVnodeUpdated)||P)&&ye(()=>{q&&Ce(q,g,d,u),P&&Me(d,u,g,"updated")},v)},w=(u,d,g,v,b,S,O)=>{for(let x=0;x<d.length;x++){const R=u[x],E=d[x],P=R.el&&(R.type===_e||!lt(R,E)||R.shapeFlag&70)?h(R.el):g;I(R,E,P,null,v,b,S,O,!0)}},N=(u,d,g,v,b,S,O)=>{if(g!==v){if(g!==te)for(const x in g)!_t(x)&&!(x in v)&&o(u,x,g[x],null,O,d.children,b,S,je);for(const x in v){if(_t(x))continue;const R=v[x],E=g[x];R!==E&&x!=="value"&&o(u,x,E,R,O,d.children,b,S,je)}"value"in v&&o(u,"value",g.value,v.value,O)}},T=(u,d,g,v,b,S,O,x,R)=>{const E=d.el=u?u.el:l(""),P=d.anchor=u?u.anchor:l("");let{patchFlag:B,dynamicChildren:j,slotScopeIds:q}=d;q&&(x=x?x.concat(q):q),u==null?(r(E,g,v),r(P,g,v),$(d.children||[],g,P,b,S,O,x,R)):B>0&&B&64&&j&&u.dynamicChildren?(w(u.dynamicChildren,j,g,b,S,O,x),(d.key!=null||b&&d===b.subTree)&&Dr(u,d,!0)):V(u,d,g,P,b,S,O,x,R)},G=(u,d,g,v,b,S,O,x,R)=>{d.slotScopeIds=x,u==null?d.shapeFlag&512?b.ctx.activate(d,g,v,O,R):ne(d,g,v,b,S,O,R):ce(u,d,R)},ne=(u,d,g,v,b,S,O)=>{const x=u.component=Sc(u,v,b);if(Wt(u)&&(x.ctx.renderer=dt),Tc(x),x.asyncDep){if(b&&b.registerDep(x,U,O),!u.el){const R=x.subTree=ie(me);W(null,R,d,g)}}else U(x,u,d,g,b,S,O)},ce=(u,d,g)=>{const v=d.component=u.component;if(Ll(u,d,g))if(v.asyncDep&&!v.asyncResolved){Y(v,d,g);return}else v.next=d,Cl(v.update),v.effect.dirty=!0,v.update();else d.el=u.el,v.vnode=d},U=(u,d,g,v,b,S,O)=>{const x=()=>{if(u.isMounted){let{next:P,bu:B,u:j,parent:q,vnode:X}=u;{const ht=Ko(u);if(ht){P&&(P.el=X.el,Y(u,P,O)),ht.asyncDep.then(()=>{u.isUnmounted||x()});return}}let ee=P,Q;rt(u,!1),P?(P.el=X.el,Y(u,P,O)):P=X,B&&fn(B),(Q=P.props&&P.props.onVnodeBeforeUpdate)&&Ce(Q,q,P,X),rt(u,!0);const ae=Kn(u),Te=u.subTree;u.subTree=ae,I(Te,ae,h(Te.el),Yt(Te),u,b,S),P.el=ae.el,ee===null&&Il(u,ae.el),j&&ye(j,b),(Q=P.props&&P.props.onVnodeUpdated)&&ye(()=>Ce(Q,q,P,X),b)}else{let P;const{el:B,props:j}=d,{bm:q,m:X,parent:ee}=u,Q=bt(d);if(rt(u,!1),q&&fn(q),!Q&&(P=j&&j.onVnodeBeforeMount)&&Ce(P,ee,d),rt(u,!0),B&&Bn){const ae=()=>{u.subTree=Kn(u),Bn(B,u.subTree,u,b,null)};Q?d.type.__asyncLoader().then(()=>!u.isUnmounted&&ae()):ae()}else{const ae=u.subTree=Kn(u);I(null,ae,g,v,u,b,S),d.el=ae.el}if(X&&ye(X,b),!Q&&(P=j&&j.onVnodeMounted)){const ae=d;ye(()=>Ce(P,ee,ae),b)}(d.shapeFlag&256||ee&&bt(ee.vnode)&&ee.vnode.shapeFlag&256)&&u.a&&ye(u.a,b),u.isMounted=!0,d=g=v=null}},R=u.effect=new Ar(x,xe,()=>Mn(E),u.scope),E=u.update=()=>{R.dirty&&R.run()};E.id=u.uid,rt(u,!0),E()},Y=(u,d,g)=>{d.component=u;const v=u.vnode.props;u.vnode=d,u.next=null,Jl(u,d.props,v,g),ec(u,d.children,g),tt(),os(u),Ue()},V=(u,d,g,v,b,S,O,x,R=!1)=>{const E=u&&u.children,P=u?u.shapeFlag:0,B=d.children,{patchFlag:j,shapeFlag:q}=d;if(j>0){if(j&128){Xt(E,B,g,v,b,S,O,x,R);return}else if(j&256){He(E,B,g,v,b,S,O,x,R);return}}q&8?(P&16&&je(E,b,S),B!==E&&f(g,B)):P&16?q&16?Xt(E,B,g,v,b,S,O,x,R):je(E,b,S,!0):(P&8&&f(g,""),q&16&&$(B,g,v,b,S,O,x,R))},He=(u,d,g,v,b,S,O,x,R)=>{u=u||mt,d=d||mt;const E=u.length,P=d.length,B=Math.min(E,P);let j;for(j=0;j<B;j++){const q=d[j]=R?Xe(d[j]):Ae(d[j]);I(u[j],q,g,null,b,S,O,x,R)}E>P?je(u,b,S,!0,!1,B):$(d,g,v,b,S,O,x,R,B)},Xt=(u,d,g,v,b,S,O,x,R)=>{let E=0;const P=d.length;let B=u.length-1,j=P-1;for(;E<=B&&E<=j;){const q=u[E],X=d[E]=R?Xe(d[E]):Ae(d[E]);if(lt(q,X))I(q,X,g,null,b,S,O,x,R);else break;E++}for(;E<=B&&E<=j;){const q=u[B],X=d[j]=R?Xe(d[j]):Ae(d[j]);if(lt(q,X))I(q,X,g,null,b,S,O,x,R);else break;B--,j--}if(E>B){if(E<=j){const q=j+1,X=q<P?d[q].el:v;for(;E<=j;)I(null,d[E]=R?Xe(d[E]):Ae(d[E]),g,X,b,S,O,x,R),E++}}else if(E>j)for(;E<=B;)Le(u[E],b,S,!0),E++;else{const q=E,X=E,ee=new Map;for(E=X;E<=j;E++){const be=d[E]=R?Xe(d[E]):Ae(d[E]);be.key!=null&&ee.set(be.key,E)}let Q,ae=0;const Te=j-X+1;let ht=!1,Xr=0;const St=new Array(Te);for(E=0;E<Te;E++)St[E]=0;for(E=q;E<=B;E++){const be=u[E];if(ae>=Te){Le(be,b,S,!0);continue}let Ie;if(be.key!=null)Ie=ee.get(be.key);else for(Q=X;Q<=j;Q++)if(St[Q-X]===0&&lt(be,d[Q])){Ie=Q;break}Ie===void 0?Le(be,b,S,!0):(St[Ie-X]=E+1,Ie>=Xr?Xr=Ie:ht=!0,I(be,d[Ie],g,null,b,S,O,x,R),ae++)}const Yr=ht?ic(St):mt;for(Q=Yr.length-1,E=Te-1;E>=0;E--){const be=X+E,Ie=d[be],zr=be+1<P?d[be+1].el:v;St[E]===0?I(null,Ie,g,zr,b,S,O,x,R):ht&&(Q<0||E!==Yr[Q]?nt(Ie,g,zr,2):Q--)}}},nt=(u,d,g,v,b=null)=>{const{el:S,type:O,transition:x,children:R,shapeFlag:E}=u;if(E&6){nt(u.component.subTree,d,g,v);return}if(E&128){u.suspense.move(d,g,v);return}if(E&64){O.move(u,d,g,dt);return}if(O===_e){r(S,d,g);for(let B=0;B<R.length;B++)nt(R[B],d,g,v);r(u.anchor,d,g);return}if(O===Pt){p(u,d,g);return}if(v!==2&&E&1&&x)if(v===0)x.beforeEnter(S),r(S,d,g),ye(()=>x.enter(S),b);else{const{leave:B,delayLeave:j,afterLeave:q}=x,X=()=>r(S,d,g),ee=()=>{B(S,()=>{X(),q&&q()})};j?j(S,X,ee):ee()}else r(S,d,g)},Le=(u,d,g,v=!1,b=!1)=>{const{type:S,props:O,ref:x,children:R,dynamicChildren:E,shapeFlag:P,patchFlag:B,dirs:j,memoIndex:q}=u;if(B===-2&&(b=!1),x!=null&&wn(x,null,g,u,!0),q!=null&&(d.renderCache[q]=void 0),P&256){d.ctx.deactivate(u);return}const X=P&1&&j,ee=!bt(u);let Q;if(ee&&(Q=O&&O.onVnodeBeforeUnmount)&&Ce(Q,d,u),P&6)Oi(u.component,g,v);else{if(P&128){u.suspense.unmount(g,v);return}X&&Me(u,null,d,"beforeUnmount"),P&64?u.type.remove(u,d,g,dt,v):E&&(S!==_e||B>0&&B&64)?je(E,d,g,!1,!0):(S===_e&&B&384||!b&&P&16)&&je(R,d,g),v&&qr(u)}(ee&&(Q=O&&O.onVnodeUnmounted)||X)&&ye(()=>{Q&&Ce(Q,d,u),X&&Me(u,null,d,"unmounted")},g)},qr=u=>{const{type:d,el:g,anchor:v,transition:b}=u;if(d===_e){Ri(g,v);return}if(d===Pt){y(u);return}const S=()=>{s(g),b&&!b.persisted&&b.afterLeave&&b.afterLeave()};if(u.shapeFlag&1&&b&&!b.persisted){const{leave:O,delayLeave:x}=b,R=()=>O(g,S);x?x(u.el,S,R):R()}else S()},Ri=(u,d)=>{let g;for(;u!==d;)g=m(u),s(u),u=g;s(d)},Oi=(u,d,g)=>{const{bum:v,scope:b,update:S,subTree:O,um:x,m:R,a:E}=u;ys(R),ys(E),v&&fn(v),b.stop(),S&&(S.active=!1,Le(O,u,d,g)),x&&ye(x,d),ye(()=>{u.isUnmounted=!0},d),d&&d.pendingBranch&&!d.isUnmounted&&u.asyncDep&&!u.asyncResolved&&u.suspenseId===d.pendingId&&(d.deps--,d.deps===0&&d.resolve())},je=(u,d,g,v=!1,b=!1,S=0)=>{for(let O=S;O<u.length;O++)Le(u[O],d,g,v,b)},Yt=u=>u.shapeFlag&6?Yt(u.component.subTree):u.shapeFlag&128?u.suspense.next():m(u.anchor||u.el);let Dn=!1;const Gr=(u,d,g)=>{u==null?d._vnode&&Le(d._vnode,null,null,!0):I(d._vnode||null,u,d,null,null,null,g),Dn||(Dn=!0,os(),_n(),Dn=!1),d._vnode=u},dt={p:I,um:Le,m:nt,r:qr,mt:ne,mc:$,pc:V,pbc:w,n:Yt,o:e};let Un,Bn;return t&&([Un,Bn]=t(dt)),{render:Gr,hydrate:Un,createApp:Xl(Gr,Un)}}function Gn({type:e,props:t},n){return n==="svg"&&e==="foreignObject"||n==="mathml"&&e==="annotation-xml"&&t&&t.encoding&&t.encoding.includes("html")?void 0:n}function rt({effect:e,update:t},n){e.allowRecurse=t.allowRecurse=n}function ko(e,t){return(!e||e&&!e.pendingBranch)&&t&&!t.persisted}function Dr(e,t,n=!1){const r=e.children,s=t.children;if(k(r)&&k(s))for(let o=0;o<r.length;o++){const i=r[o];let l=s[o];l.shapeFlag&1&&!l.dynamicChildren&&((l.patchFlag<=0||l.patchFlag===32)&&(l=s[o]=Xe(s[o]),l.el=i.el),!n&&l.patchFlag!==-2&&Dr(i,l)),l.type===Et&&(l.el=i.el)}}function ic(e){const t=e.slice(),n=[0];let r,s,o,i,l;const c=e.length;for(r=0;r<c;r++){const a=e[r];if(a!==0){if(s=n[n.length-1],e[s]<a){t[r]=s,n.push(r);continue}for(o=0,i=n.length-1;o<i;)l=o+i>>1,e[n[l]]<a?o=l+1:i=l;a<e[n[o]]&&(o>0&&(t[r]=n[o-1]),n[o]=r)}}for(o=n.length,i=n[o-1];o-- >0;)n[o]=i,i=t[i];return n}function Ko(e){const t=e.subTree.component;if(t)return t.asyncDep&&!t.asyncResolved?t:Ko(t)}function ys(e){if(e)for(let t=0;t<e.length;t++)e[t].active=!1}const lc=Symbol.for("v-scx"),cc=()=>wt(lc);function Ur(e,t){return Hn(e,null,t)}function hu(e,t){return Hn(e,null,{flush:"post"})}const rn={};function Ne(e,t,n){return Hn(e,t,n)}function Hn(e,t,{immediate:n,deep:r,flush:s,once:o,onTrack:i,onTrigger:l}=te){if(t&&o){const A=t;t=(...F)=>{A(...F),M()}}const c=ue,a=A=>r===!0?A:Ye(A,r===!1?1:void 0);let f,h=!1,m=!1;if(de(e)?(f=()=>e.value,h=yn(e)):Rt(e)?(f=()=>a(e),h=!0):k(e)?(m=!0,h=e.some(A=>Rt(A)||yn(A)),f=()=>e.map(A=>{if(de(A))return A.value;if(Rt(A))return a(A);if(K(A))return Je(A,c,2)})):K(e)?t?f=()=>Je(e,c,2):f=()=>(_&&_(),Se(e,c,3,[C])):f=xe,t&&r){const A=f;f=()=>Ye(A())}let _,C=A=>{_=p.onStop=()=>{Je(A,c,4),_=p.onStop=void 0}},I;if(Gt)if(C=xe,t?n&&Se(t,c,3,[f(),m?[]:void 0,C]):f(),s==="sync"){const A=cc();I=A.__watcherHandles||(A.__watcherHandles=[])}else return xe;let H=m?new Array(e.length).fill(rn):rn;const W=()=>{if(!(!p.active||!p.dirty))if(t){const A=p.run();(r||h||(m?A.some((F,$)=>Qe(F,H[$])):Qe(A,H)))&&(_&&_(),Se(t,c,3,[A,H===rn?void 0:m&&H[0]===rn?[]:H,C]),H=A)}else p.run()};W.allowRecurse=!!t;let D;s==="sync"?D=W:s==="post"?D=()=>ye(W,c&&c.suspense):(W.pre=!0,c&&(W.id=c.uid),D=()=>Mn(W));const p=new Ar(f,xe,D),y=so(),M=()=>{p.stop(),y&&Cr(y.effects,p)};return t?n?W():H=p.run():s==="post"?ye(p.run.bind(p),c&&c.suspense):p.run(),I&&I.push(M),M}function ac(e,t,n){const r=this.proxy,s=oe(e)?e.includes(".")?Wo(r,e):()=>r[e]:e.bind(r,r);let o;K(t)?o=t:(o=t.handler,n=t);const i=qt(this),l=Hn(s,o.bind(r),n);return i(),l}function Wo(e,t){const n=t.split(".");return()=>{let r=e;for(let s=0;s<n.length&&r;s++)r=r[n[s]];return r}}function Ye(e,t=1/0,n){if(t<=0||!Z(e)||e.__v_skip||(n=n||new Set,n.has(e)))return e;if(n.add(e),t--,de(e))Ye(e.value,t,n);else if(k(e))for(let r=0;r<e.length;r++)Ye(e[r],t,n);else if(zs(e)||yt(e))e.forEach(r=>{Ye(r,t,n)});else if(Zs(e)){for(const r in e)Ye(e[r],t,n);for(const r of Object.getOwnPropertySymbols(e))Object.prototype.propertyIsEnumerable.call(e,r)&&Ye(e[r],t,n)}return e}const Wt=e=>e.type.__isKeepAlive;function uc(e,t){qo(e,"a",t)}function fc(e,t){qo(e,"da",t)}function qo(e,t,n=ue){const r=e.__wdc||(e.__wdc=()=>{let s=n;for(;s;){if(s.isDeactivated)return;s=s.parent}return e()});if(Fn(t,r,n),n){let s=n.parent;for(;s&&s.parent;)Wt(s.parent.vnode)&&dc(r,t,n,s),s=s.parent}}function dc(e,t,n,r){const s=Fn(t,e,r,!0);$n(()=>{Cr(r[t],s)},n)}const Ge=Symbol("_leaveCb"),sn=Symbol("_enterCb");function hc(){const e={isMounted:!1,isLeaving:!1,isUnmounting:!1,leavingVNodes:new Map};return xt(()=>{e.isMounted=!0}),Lo(()=>{e.isUnmounting=!0}),e}const Ee=[Function,Array],Go={mode:String,appear:Boolean,persisted:Boolean,onBeforeEnter:Ee,onEnter:Ee,onAfterEnter:Ee,onEnterCancelled:Ee,onBeforeLeave:Ee,onLeave:Ee,onAfterLeave:Ee,onLeaveCancelled:Ee,onBeforeAppear:Ee,onAppear:Ee,onAfterAppear:Ee,onAppearCancelled:Ee},Xo=e=>{const t=e.subTree;return t.component?Xo(t.component):t},pc={name:"BaseTransition",props:Go,setup(e,{slots:t}){const n=jn(),r=hc();return()=>{const s=t.default&&zo(t.default(),!0);if(!s||!s.length)return;let o=s[0];if(s.length>1){for(const m of s)if(m.type!==me){o=m;break}}const i=J(e),{mode:l}=i;if(r.isLeaving)return Xn(o);const c=_s(o);if(!c)return Xn(o);let a=yr(c,i,r,n,m=>a=m);En(c,a);const f=n.subTree,h=f&&_s(f);if(h&&h.type!==me&&!lt(c,h)&&Xo(n).type!==me){const m=yr(h,i,r,n);if(En(h,m),l==="out-in"&&c.type!==me)return r.isLeaving=!0,m.afterLeave=()=>{r.isLeaving=!1,n.update.active!==!1&&(n.effect.dirty=!0,n.update())},Xn(o);l==="in-out"&&c.type!==me&&(m.delayLeave=(_,C,I)=>{const H=Yo(r,h);H[String(h.key)]=h,_[Ge]=()=>{C(),_[Ge]=void 0,delete a.delayedLeave},a.delayedLeave=I})}return o}}},gc=pc;function Yo(e,t){const{leavingVNodes:n}=e;let r=n.get(t.type);return r||(r=Object.create(null),n.set(t.type,r)),r}function yr(e,t,n,r,s){const{appear:o,mode:i,persisted:l=!1,onBeforeEnter:c,onEnter:a,onAfterEnter:f,onEnterCancelled:h,onBeforeLeave:m,onLeave:_,onAfterLeave:C,onLeaveCancelled:I,onBeforeAppear:H,onAppear:W,onAfterAppear:D,onAppearCancelled:p}=t,y=String(e.key),M=Yo(n,e),A=(L,w)=>{L&&Se(L,r,9,w)},F=(L,w)=>{const N=w[1];A(L,w),k(L)?L.every(T=>T.length<=1)&&N():L.length<=1&&N()},$={mode:i,persisted:l,beforeEnter(L){let w=c;if(!n.isMounted)if(o)w=H||c;else return;L[Ge]&&L[Ge](!0);const N=M[y];N&&lt(e,N)&&N.el[Ge]&&N.el[Ge](),A(w,[L])},enter(L){let w=a,N=f,T=h;if(!n.isMounted)if(o)w=W||a,N=D||f,T=p||h;else return;let G=!1;const ne=L[sn]=ce=>{G||(G=!0,ce?A(T,[L]):A(N,[L]),$.delayedLeave&&$.delayedLeave(),L[sn]=void 0)};w?F(w,[L,ne]):ne()},leave(L,w){const N=String(e.key);if(L[sn]&&L[sn](!0),n.isUnmounting)return w();A(m,[L]);let T=!1;const G=L[Ge]=ne=>{T||(T=!0,w(),ne?A(I,[L]):A(C,[L]),L[Ge]=void 0,M[N]===e&&delete M[N])};M[N]=e,_?F(_,[L,G]):G()},clone(L){const w=yr(L,t,n,r,s);return s&&s(w),w}};return $}function Xn(e){if(Wt(e))return e=Ze(e),e.children=null,e}function _s(e){if(!Wt(e))return e;const{shapeFlag:t,children:n}=e;if(n){if(t&16)return n[0];if(t&32&&K(n.default))return n.default()}}function En(e,t){e.shapeFlag&6&&e.component?En(e.component.subTree,t):e.shapeFlag&128?(e.ssContent.transition=t.clone(e.ssContent),e.ssFallback.transition=t.clone(e.ssFallback)):e.transition=t}function zo(e,t=!1,n){let r=[],s=0;for(let o=0;o<e.length;o++){let i=e[o];const l=n==null?i.key:String(n)+String(i.key!=null?i.key:o);i.type===_e?(i.patchFlag&128&&s++,r=r.concat(zo(i.children,t,l))):(t||i.type!==me)&&r.push(l!=null?Ze(i,{key:l}):i)}if(s>1)for(let o=0;o<r.length;o++)r[o].patchFlag=-2;return r}const mc=e=>e.__isTeleport,Mt=e=>e&&(e.disabled||e.disabled===""),vs=e=>typeof SVGElement<"u"&&e instanceof SVGElement,bs=e=>typeof MathMLElement=="function"&&e instanceof MathMLElement,_r=(e,t)=>{const n=e&&e.to;return oe(n)?t?t(n):null:n},yc={name:"Teleport",__isTeleport:!0,process(e,t,n,r,s,o,i,l,c,a){const{mc:f,pc:h,pbc:m,o:{insert:_,querySelector:C,createText:I,createComment:H}}=a,W=Mt(t.props);let{shapeFlag:D,children:p,dynamicChildren:y}=t;if(e==null){const M=t.el=I(""),A=t.anchor=I("");_(M,n,r),_(A,n,r);const F=t.target=_r(t.props,C),$=t.targetAnchor=I("");F&&(_($,F),i==="svg"||vs(F)?i="svg":(i==="mathml"||bs(F))&&(i="mathml"));const L=(w,N)=>{D&16&&f(p,w,N,s,o,i,l,c)};W?L(n,A):F&&L(F,$)}else{t.el=e.el;const M=t.anchor=e.anchor,A=t.target=e.target,F=t.targetAnchor=e.targetAnchor,$=Mt(e.props),L=$?n:A,w=$?M:F;if(i==="svg"||vs(A)?i="svg":(i==="mathml"||bs(A))&&(i="mathml"),y?(m(e.dynamicChildren,y,L,s,o,i,l),Dr(e,t,!0)):c||h(e,t,L,w,s,o,i,l,!1),W)$?t.props&&e.props&&t.props.to!==e.props.to&&(t.props.to=e.props.to):on(t,n,M,a,1);else if((t.props&&t.props.to)!==(e.props&&e.props.to)){const N=t.target=_r(t.props,C);N&&on(t,N,null,a,0)}else $&&on(t,A,F,a,1)}Jo(t)},remove(e,t,n,{um:r,o:{remove:s}},o){const{shapeFlag:i,children:l,anchor:c,targetAnchor:a,target:f,props:h}=e;if(f&&s(a),o&&s(c),i&16){const m=o||!Mt(h);for(let _=0;_<l.length;_++){const C=l[_];r(C,t,n,m,!!C.dynamicChildren)}}},move:on,hydrate:_c};function on(e,t,n,{o:{insert:r},m:s},o=2){o===0&&r(e.targetAnchor,t,n);const{el:i,anchor:l,shapeFlag:c,children:a,props:f}=e,h=o===2;if(h&&r(i,t,n),(!h||Mt(f))&&c&16)for(let m=0;m<a.length;m++)s(a[m],t,n,2);h&&r(l,t,n)}function _c(e,t,n,r,s,o,{o:{nextSibling:i,parentNode:l,querySelector:c}},a){const f=t.target=_r(t.props,c);if(f){const h=f._lpa||f.firstChild;if(t.shapeFlag&16)if(Mt(t.props))t.anchor=a(i(e),t,l(e),n,r,s,o),t.targetAnchor=h;else{t.anchor=i(e);let m=h;for(;m;)if(m=i(m),m&&m.nodeType===8&&m.data==="teleport anchor"){t.targetAnchor=m,f._lpa=t.targetAnchor&&i(t.targetAnchor);break}a(h,t,f,n,r,s,o)}Jo(t)}return t.anchor&&i(t.anchor)}const pu=yc;function Jo(e){const t=e.ctx;if(t&&t.ut){let n=e.children[0].el;for(;n&&n!==e.targetAnchor;)n.nodeType===1&&n.setAttribute("data-v-owner",t.uid),n=n.nextSibling;t.ut()}}const _e=Symbol.for("v-fgt"),Et=Symbol.for("v-txt"),me=Symbol.for("v-cmt"),Pt=Symbol.for("v-stc"),Nt=[];let Re=null;function Qo(e=!1){Nt.push(Re=e?null:[])}function vc(){Nt.pop(),Re=Nt[Nt.length-1]||null}let Dt=1;function ws(e){Dt+=e}function Zo(e){return e.dynamicChildren=Dt>0?Re||mt:null,vc(),Dt>0&&Re&&Re.push(e),e}function gu(e,t,n,r,s,o){return Zo(ni(e,t,n,r,s,o,!0))}function ei(e,t,n,r,s){return Zo(ie(e,t,n,r,s,!0))}function Cn(e){return e?e.__v_isVNode===!0:!1}function lt(e,t){return e.type===t.type&&e.key===t.key}const ti=({key:e})=>e??null,hn=({ref:e,ref_key:t,ref_for:n})=>(typeof e=="number"&&(e=""+e),e!=null?oe(e)||de(e)||K(e)?{i:fe,r:e,k:t,f:!!n}:e:null);function ni(e,t=null,n=null,r=0,s=null,o=e===_e?0:1,i=!1,l=!1){const c={__v_isVNode:!0,__v_skip:!0,type:e,props:t,key:t&&ti(t),ref:t&&hn(t),scopeId:Nn,slotScopeIds:null,children:n,component:null,suspense:null,ssContent:null,ssFallback:null,dirs:null,transition:null,el:null,anchor:null,target:null,targetAnchor:null,staticCount:0,shapeFlag:o,patchFlag:r,dynamicProps:s,dynamicChildren:null,appContext:null,ctx:fe};return l?(Br(c,n),o&128&&e.normalize(c)):n&&(c.shapeFlag|=oe(n)?8:16),Dt>0&&!i&&Re&&(c.patchFlag>0||o&6)&&c.patchFlag!==32&&Re.push(c),c}const ie=bc;function bc(e,t=null,n=null,r=0,s=null,o=!1){if((!e||e===Ao)&&(e=me),Cn(e)){const l=Ze(e,t,!0);return n&&Br(l,n),Dt>0&&!o&&Re&&(l.shapeFlag&6?Re[Re.indexOf(e)]=l:Re.push(l)),l.patchFlag=-2,l}if(Lc(e)&&(e=e.__vccOpts),t){t=wc(t);let{class:l,style:c}=t;l&&!oe(l)&&(t.class=Tr(l)),Z(c)&&(yo(c)&&!k(c)&&(c=le({},c)),t.style=Sr(c))}const i=oe(e)?1:Ml(e)?128:mc(e)?64:Z(e)?4:K(e)?2:0;return ni(e,t,n,r,s,i,o,!0)}function wc(e){return e?yo(e)||$o(e)?le({},e):e:null}function Ze(e,t,n=!1,r=!1){const{props:s,ref:o,patchFlag:i,children:l,transition:c}=e,a=t?Ec(s||{},t):s,f={__v_isVNode:!0,__v_skip:!0,type:e.type,props:a,key:a&&ti(a),ref:t&&t.ref?n&&o?k(o)?o.concat(hn(t)):[o,hn(t)]:hn(t):o,scopeId:e.scopeId,slotScopeIds:e.slotScopeIds,children:l,target:e.target,targetAnchor:e.targetAnchor,staticCount:e.staticCount,shapeFlag:e.shapeFlag,patchFlag:t&&e.type!==_e?i===-1?16:i|16:i,dynamicProps:e.dynamicProps,dynamicChildren:e.dynamicChildren,appContext:e.appContext,dirs:e.dirs,transition:c,component:e.component,suspense:e.suspense,ssContent:e.ssContent&&Ze(e.ssContent),ssFallback:e.ssFallback&&Ze(e.ssFallback),el:e.el,anchor:e.anchor,ctx:e.ctx,ce:e.ce};return c&&r&&En(f,c.clone(f)),f}function ri(e=" ",t=0){return ie(Et,null,e,t)}function mu(e,t){const n=ie(Pt,null,e);return n.staticCount=t,n}function yu(e="",t=!1){return t?(Qo(),ei(me,null,e)):ie(me,null,e)}function Ae(e){return e==null||typeof e=="boolean"?ie(me):k(e)?ie(_e,null,e.slice()):typeof e=="object"?Xe(e):ie(Et,null,String(e))}function Xe(e){return e.el===null&&e.patchFlag!==-1||e.memo?e:Ze(e)}function Br(e,t){let n=0;const{shapeFlag:r}=e;if(t==null)t=null;else if(k(t))n=16;else if(typeof t=="object")if(r&65){const s=t.default;s&&(s._c&&(s._d=!1),Br(e,s()),s._c&&(s._d=!0));return}else{n=32;const s=t._;!s&&!$o(t)?t._ctx=fe:s===3&&fe&&(fe.slots._===1?t._=1:(t._=2,e.patchFlag|=1024))}else K(t)?(t={default:t,_ctx:fe},n=32):(t=String(t),r&64?(n=16,t=[ri(t)]):n=8);e.children=t,e.shapeFlag|=n}function Ec(...e){const t={};for(let n=0;n<e.length;n++){const r=e[n];for(const s in r)if(s==="class")t.class!==r.class&&(t.class=Tr([t.class,r.class]));else if(s==="style")t.style=Sr([t.style,r.style]);else if(kt(s)){const o=t[s],i=r[s];i&&o!==i&&!(k(o)&&o.includes(i))&&(t[s]=o?[].concat(o,i):i)}else s!==""&&(t[s]=r[s])}return t}function Ce(e,t,n,r=null){Se(e,t,7,[n,r])}const Cc=Po();let xc=0;function Sc(e,t,n){const r=e.type,s=(t?t.appContext:e.appContext)||Cc,o={uid:xc++,vnode:e,type:r,parent:t,appContext:s,root:null,next:null,subTree:null,effect:null,update:null,scope:new Bi(!0),render:null,proxy:null,exposed:null,exposeProxy:null,withProxy:null,provides:t?t.provides:Object.create(s.provides),accessCache:null,renderCache:[],components:null,directives:null,propsOptions:jo(r,s),emitsOptions:So(r,s),emit:null,emitted:null,propsDefaults:te,inheritAttrs:r.inheritAttrs,ctx:te,data:te,props:te,attrs:te,slots:te,refs:te,setupState:te,setupContext:null,attrsProxy:null,slotsProxy:null,suspense:n,suspenseId:n?n.pendingId:0,asyncDep:null,asyncResolved:!1,isMounted:!1,isUnmounted:!1,isDeactivated:!1,bc:null,c:null,bm:null,m:null,bu:null,u:null,um:null,bum:null,da:null,a:null,rtg:null,rtc:null,ec:null,sp:null};return o.ctx={_:o},o.root=t?t.root:o,o.emit=Tl.bind(null,o),e.ce&&e.ce(o),o}let ue=null;const jn=()=>ue||fe;let xn,vr;{const e=to(),t=(n,r)=>{let s;return(s=e[n])||(s=e[n]=[]),s.push(r),o=>{s.length>1?s.forEach(i=>i(o)):s[0](o)}};xn=t("__VUE_INSTANCE_SETTERS__",n=>ue=n),vr=t("__VUE_SSR_SETTERS__",n=>Gt=n)}const qt=e=>{const t=ue;return xn(e),e.scope.on(),()=>{e.scope.off(),xn(t)}},Es=()=>{ue&&ue.scope.off(),xn(null)};function si(e){return e.vnode.shapeFlag&4}let Gt=!1;function Tc(e,t=!1){t&&vr(t);const{props:n,children:r}=e.vnode,s=si(e);zl(e,n,s,t),Zl(e,r);const o=s?Ac(e,t):void 0;return t&&vr(!1),o}function Ac(e,t){const n=e.type;e.accessCache=Object.create(null),e.proxy=new Proxy(e.ctx,Dl);const{setup:r}=n;if(r){const s=e.setupContext=r.length>1?ii(e):null,o=qt(e);tt();const i=Je(r,e,0,[e.props,s]);if(Ue(),o(),Js(i)){if(i.then(Es,Es),t)return i.then(l=>{Cs(e,l,t)}).catch(l=>{Kt(l,e,0)});e.asyncDep=i}else Cs(e,i,t)}else oi(e,t)}function Cs(e,t,n){K(t)?e.type.__ssrInlineRender?e.ssrRender=t:e.render=t:Z(t)&&(e.setupState=wo(t)),oi(e,n)}let xs;function oi(e,t,n){const r=e.type;if(!e.render){if(!t&&xs&&!r.render){const s=r.template||jr(e).template;if(s){const{isCustomElement:o,compilerOptions:i}=e.appContext.config,{delimiters:l,compilerOptions:c}=r,a=le(le({isCustomElement:o,delimiters:l},i),c);r.render=xs(s,a)}}e.render=r.render||xe}{const s=qt(e);tt();try{Bl(e)}finally{Ue(),s()}}}const Rc={get(e,t){return ve(e,"get",""),e[t]}};function ii(e){const t=n=>{e.exposed=n||{}};return{attrs:new Proxy(e.attrs,Rc),slots:e.slots,emit:e.emit,expose:t}}function Vn(e){return e.exposed?e.exposeProxy||(e.exposeProxy=new Proxy(wo(dn(e.exposed)),{get(t,n){if(n in t)return t[n];if(n in Lt)return Lt[n](e)},has(t,n){return n in t||n in Lt}})):e.proxy}function Oc(e,t=!0){return K(e)?e.displayName||e.name:e.name||t&&e.__name}function Lc(e){return K(e)&&"__vccOpts"in e}const re=(e,t)=>dl(e,t,Gt);function br(e,t,n){const r=arguments.length;return r===2?Z(t)&&!k(t)?Cn(t)?ie(e,null,[t]):ie(e,t):ie(e,null,t):(r>3?n=Array.prototype.slice.call(arguments,2):r===3&&Cn(n)&&(n=[n]),ie(e,t,n))}const Ic="3.4.30";/**
-* @vue/runtime-dom v3.4.30
-* (c) 2018-present Yuxi (Evan) You and Vue contributors
-* @license MIT
-**/const Mc="http://www.w3.org/2000/svg",Pc="http://www.w3.org/1998/Math/MathML",Ve=typeof document<"u"?document:null,Ss=Ve&&Ve.createElement("template"),Nc={insert:(e,t,n)=>{t.insertBefore(e,n||null)},remove:e=>{const t=e.parentNode;t&&t.removeChild(e)},createElement:(e,t,n,r)=>{const s=t==="svg"?Ve.createElementNS(Mc,e):t==="mathml"?Ve.createElementNS(Pc,e):n?Ve.createElement(e,{is:n}):Ve.createElement(e);return e==="select"&&r&&r.multiple!=null&&s.setAttribute("multiple",r.multiple),s},createText:e=>Ve.createTextNode(e),createComment:e=>Ve.createComment(e),setText:(e,t)=>{e.nodeValue=t},setElementText:(e,t)=>{e.textContent=t},parentNode:e=>e.parentNode,nextSibling:e=>e.nextSibling,querySelector:e=>Ve.querySelector(e),setScopeId(e,t){e.setAttribute(t,"")},insertStaticContent(e,t,n,r,s,o){const i=n?n.previousSibling:t.lastChild;if(s&&(s===o||s.nextSibling))for(;t.insertBefore(s.cloneNode(!0),n),!(s===o||!(s=s.nextSibling)););else{Ss.innerHTML=r==="svg"?`<svg>${e}</svg>`:r==="mathml"?`<math>${e}</math>`:e;const l=Ss.content;if(r==="svg"||r==="mathml"){const c=l.firstChild;for(;c.firstChild;)l.appendChild(c.firstChild);l.removeChild(c)}t.insertBefore(l,n)}return[i?i.nextSibling:t.firstChild,n?n.previousSibling:t.lastChild]}},Ke="transition",Tt="animation",Ut=Symbol("_vtc"),li=(e,{slots:t})=>br(gc,Fc(e),t);li.displayName="Transition";const ci={name:String,type:String,css:{type:Boolean,default:!0},duration:[String,Number,Object],enterFromClass:String,enterActiveClass:String,enterToClass:String,appearFromClass:String,appearActiveClass:String,appearToClass:String,leaveFromClass:String,leaveActiveClass:String,leaveToClass:String};li.props=le({},Go,ci);const st=(e,t=[])=>{k(e)?e.forEach(n=>n(...t)):e&&e(...t)},Ts=e=>e?k(e)?e.some(t=>t.length>1):e.length>1:!1;function Fc(e){const t={};for(const T in e)T in ci||(t[T]=e[T]);if(e.css===!1)return t;const{name:n="v",type:r,duration:s,enterFromClass:o=`${n}-enter-from`,enterActiveClass:i=`${n}-enter-active`,enterToClass:l=`${n}-enter-to`,appearFromClass:c=o,appearActiveClass:a=i,appearToClass:f=l,leaveFromClass:h=`${n}-leave-from`,leaveActiveClass:m=`${n}-leave-active`,leaveToClass:_=`${n}-leave-to`}=e,C=$c(s),I=C&&C[0],H=C&&C[1],{onBeforeEnter:W,onEnter:D,onEnterCancelled:p,onLeave:y,onLeaveCancelled:M,onBeforeAppear:A=W,onAppear:F=D,onAppearCancelled:$=p}=t,L=(T,G,ne)=>{ot(T,G?f:l),ot(T,G?a:i),ne&&ne()},w=(T,G)=>{T._isLeaving=!1,ot(T,h),ot(T,_),ot(T,m),G&&G()},N=T=>(G,ne)=>{const ce=T?F:D,U=()=>L(G,T,ne);st(ce,[G,U]),As(()=>{ot(G,T?c:o),We(G,T?f:l),Ts(ce)||Rs(G,r,I,U)})};return le(t,{onBeforeEnter(T){st(W,[T]),We(T,o),We(T,i)},onBeforeAppear(T){st(A,[T]),We(T,c),We(T,a)},onEnter:N(!1),onAppear:N(!0),onLeave(T,G){T._isLeaving=!0;const ne=()=>w(T,G);We(T,h),We(T,m),Vc(),As(()=>{T._isLeaving&&(ot(T,h),We(T,_),Ts(y)||Rs(T,r,H,ne))}),st(y,[T,ne])},onEnterCancelled(T){L(T,!1),st(p,[T])},onAppearCancelled(T){L(T,!0),st($,[T])},onLeaveCancelled(T){w(T),st(M,[T])}})}function $c(e){if(e==null)return null;if(Z(e))return[Yn(e.enter),Yn(e.leave)];{const t=Yn(e);return[t,t]}}function Yn(e){return Fi(e)}function We(e,t){t.split(/\s+/).forEach(n=>n&&e.classList.add(n)),(e[Ut]||(e[Ut]=new Set)).add(t)}function ot(e,t){t.split(/\s+/).forEach(r=>r&&e.classList.remove(r));const n=e[Ut];n&&(n.delete(t),n.size||(e[Ut]=void 0))}function As(e){requestAnimationFrame(()=>{requestAnimationFrame(e)})}let Hc=0;function Rs(e,t,n,r){const s=e._endId=++Hc,o=()=>{s===e._endId&&r()};if(n)return setTimeout(o,n);const{type:i,timeout:l,propCount:c}=jc(e,t);if(!i)return r();const a=i+"end";let f=0;const h=()=>{e.removeEventListener(a,m),o()},m=_=>{_.target===e&&++f>=c&&h()};setTimeout(()=>{f<c&&h()},l+1),e.addEventListener(a,m)}function jc(e,t){const n=window.getComputedStyle(e),r=C=>(n[C]||"").split(", "),s=r(`${Ke}Delay`),o=r(`${Ke}Duration`),i=Os(s,o),l=r(`${Tt}Delay`),c=r(`${Tt}Duration`),a=Os(l,c);let f=null,h=0,m=0;t===Ke?i>0&&(f=Ke,h=i,m=o.length):t===Tt?a>0&&(f=Tt,h=a,m=c.length):(h=Math.max(i,a),f=h>0?i>a?Ke:Tt:null,m=f?f===Ke?o.length:c.length:0);const _=f===Ke&&/\b(transform|all)(,|$)/.test(r(`${Ke}Property`).toString());return{type:f,timeout:h,propCount:m,hasTransform:_}}function Os(e,t){for(;e.length<t.length;)e=e.concat(e);return Math.max(...t.map((n,r)=>Ls(n)+Ls(e[r])))}function Ls(e){return e==="auto"?0:Number(e.slice(0,-1).replace(",","."))*1e3}function Vc(){return document.body.offsetHeight}function Dc(e,t,n){const r=e[Ut];r&&(t=(t?[t,...r]:[...r]).join(" ")),t==null?e.removeAttribute("class"):n?e.setAttribute("class",t):e.className=t}const Is=Symbol("_vod"),Uc=Symbol("_vsh"),Bc=Symbol(""),kc=/(^|;)\s*display\s*:/;function Kc(e,t,n){const r=e.style,s=oe(n);let o=!1;if(n&&!s){if(t)if(oe(t))for(const i of t.split(";")){const l=i.slice(0,i.indexOf(":")).trim();n[l]==null&&pn(r,l,"")}else for(const i in t)n[i]==null&&pn(r,i,"");for(const i in n)i==="display"&&(o=!0),pn(r,i,n[i])}else if(s){if(t!==n){const i=r[Bc];i&&(n+=";"+i),r.cssText=n,o=kc.test(n)}}else t&&e.removeAttribute("style");Is in e&&(e[Is]=o?r.display:"",e[Uc]&&(r.display="none"))}const Ms=/\s*!important$/;function pn(e,t,n){if(k(n))n.forEach(r=>pn(e,t,r));else if(n==null&&(n=""),t.startsWith("--"))e.setProperty(t,n);else{const r=Wc(e,t);Ms.test(n)?e.setProperty(ft(r),n.replace(Ms,""),"important"):e[r]=n}}const Ps=["Webkit","Moz","ms"],zn={};function Wc(e,t){const n=zn[t];if(n)return n;let r=$e(t);if(r!=="filter"&&r in e)return zn[t]=r;r=An(r);for(let s=0;s<Ps.length;s++){const o=Ps[s]+r;if(o in e)return zn[t]=o}return t}const Ns="http://www.w3.org/1999/xlink";function Fs(e,t,n,r,s,o=Ui(t)){r&&t.startsWith("xlink:")?n==null?e.removeAttributeNS(Ns,t.slice(6,t.length)):e.setAttributeNS(Ns,t,n):n==null||o&&!no(n)?e.removeAttribute(t):e.setAttribute(t,o?"":et(n)?String(n):n)}function qc(e,t,n,r,s,o,i){if(t==="innerHTML"||t==="textContent"){r&&i(r,s,o),e[t]=n??"";return}const l=e.tagName;if(t==="value"&&l!=="PROGRESS"&&!l.includes("-")){const a=l==="OPTION"?e.getAttribute("value")||"":e.value,f=n==null?"":String(n);(a!==f||!("_value"in e))&&(e.value=f),n==null&&e.removeAttribute(t),e._value=n;return}let c=!1;if(n===""||n==null){const a=typeof e[t];a==="boolean"?n=no(n):n==null&&a==="string"?(n="",c=!0):a==="number"&&(n=0,c=!0)}try{e[t]=n}catch{}c&&e.removeAttribute(t)}function gt(e,t,n,r){e.addEventListener(t,n,r)}function Gc(e,t,n,r){e.removeEventListener(t,n,r)}const $s=Symbol("_vei");function Xc(e,t,n,r,s=null){const o=e[$s]||(e[$s]={}),i=o[t];if(r&&i)i.value=r;else{const[l,c]=Yc(t);if(r){const a=o[t]=Qc(r,s);gt(e,l,a,c)}else i&&(Gc(e,l,i,c),o[t]=void 0)}}const Hs=/(?:Once|Passive|Capture)$/;function Yc(e){let t;if(Hs.test(e)){t={};let r;for(;r=e.match(Hs);)e=e.slice(0,e.length-r[0].length),t[r[0].toLowerCase()]=!0}return[e[2]===":"?e.slice(3):ft(e.slice(2)),t]}let Jn=0;const zc=Promise.resolve(),Jc=()=>Jn||(zc.then(()=>Jn=0),Jn=Date.now());function Qc(e,t){const n=r=>{if(!r._vts)r._vts=Date.now();else if(r._vts<=n.attached)return;Se(Zc(r,n.value),t,5,[r])};return n.value=e,n.attached=Jc(),n}function Zc(e,t){if(k(t)){const n=e.stopImmediatePropagation;return e.stopImmediatePropagation=()=>{n.call(e),e._stopped=!0},t.map(r=>s=>!s._stopped&&r&&r(s))}else return t}const js=e=>e.charCodeAt(0)===111&&e.charCodeAt(1)===110&&e.charCodeAt(2)>96&&e.charCodeAt(2)<123,ea=(e,t,n,r,s,o,i,l,c)=>{const a=s==="svg";t==="class"?Dc(e,r,a):t==="style"?Kc(e,n,r):kt(t)?Er(t)||Xc(e,t,n,r,i):(t[0]==="."?(t=t.slice(1),!0):t[0]==="^"?(t=t.slice(1),!1):ta(e,t,r,a))?(qc(e,t,r,o,i,l,c),!e.tagName.includes("-")&&(t==="value"||t==="checked"||t==="selected")&&Fs(e,t,r,a,i,t!=="value")):(t==="true-value"?e._trueValue=r:t==="false-value"&&(e._falseValue=r),Fs(e,t,r,a))};function ta(e,t,n,r){if(r)return!!(t==="innerHTML"||t==="textContent"||t in e&&js(t)&&K(n));if(t==="spellcheck"||t==="draggable"||t==="translate"||t==="form"||t==="list"&&e.tagName==="INPUT"||t==="type"&&e.tagName==="TEXTAREA")return!1;if(t==="width"||t==="height"){const s=e.tagName;if(s==="IMG"||s==="VIDEO"||s==="CANVAS"||s==="SOURCE")return!1}return js(t)&&oe(n)?!1:t in e}const Vs=e=>{const t=e.props["onUpdate:modelValue"]||!1;return k(t)?n=>fn(t,n):t};function na(e){e.target.composing=!0}function Ds(e){const t=e.target;t.composing&&(t.composing=!1,t.dispatchEvent(new Event("input")))}const Qn=Symbol("_assign"),_u={created(e,{modifiers:{lazy:t,trim:n,number:r}},s){e[Qn]=Vs(s);const o=r||s.props&&s.props.type==="number";gt(e,t?"change":"input",i=>{if(i.target.composing)return;let l=e.value;n&&(l=l.trim()),o&&(l=cr(l)),e[Qn](l)}),n&&gt(e,"change",()=>{e.value=e.value.trim()}),t||(gt(e,"compositionstart",na),gt(e,"compositionend",Ds),gt(e,"change",Ds))},mounted(e,{value:t}){e.value=t??""},beforeUpdate(e,{value:t,oldValue:n,modifiers:{lazy:r,trim:s,number:o}},i){if(e[Qn]=Vs(i),e.composing)return;const l=(o||e.type==="number")&&!/^0\d/.test(e.value)?cr(e.value):e.value,c=t??"";l!==c&&(document.activeElement===e&&e.type!=="range"&&(r&&t===n||s&&e.value.trim()===c)||(e.value=c))}},ra=["ctrl","shift","alt","meta"],sa={stop:e=>e.stopPropagation(),prevent:e=>e.preventDefault(),self:e=>e.target!==e.currentTarget,ctrl:e=>!e.ctrlKey,shift:e=>!e.shiftKey,alt:e=>!e.altKey,meta:e=>!e.metaKey,left:e=>"button"in e&&e.button!==0,middle:e=>"button"in e&&e.button!==1,right:e=>"button"in e&&e.button!==2,exact:(e,t)=>ra.some(n=>e[`${n}Key`]&&!t.includes(n))},vu=(e,t)=>{const n=e._withMods||(e._withMods={}),r=t.join(".");return n[r]||(n[r]=(s,...o)=>{for(let i=0;i<t.length;i++){const l=sa[t[i]];if(l&&l(s,t))return}return e(s,...o)})},oa={esc:"escape",space:" ",up:"arrow-up",left:"arrow-left",right:"arrow-right",down:"arrow-down",delete:"backspace"},bu=(e,t)=>{const n=e._withKeys||(e._withKeys={}),r=t.join(".");return n[r]||(n[r]=s=>{if(!("key"in s))return;const o=ft(s.key);if(t.some(i=>i===o||oa[i]===o))return e(s)})},ai=le({patchProp:ea},Nc);let Ft,Us=!1;function ia(){return Ft||(Ft=sc(ai))}function la(){return Ft=Us?Ft:oc(ai),Us=!0,Ft}const wu=(...e)=>{const t=ia().createApp(...e),{mount:n}=t;return t.mount=r=>{const s=fi(r);if(!s)return;const o=t._component;!K(o)&&!o.render&&!o.template&&(o.template=s.innerHTML),s.innerHTML="";const i=n(s,!1,ui(s));return s instanceof Element&&(s.removeAttribute("v-cloak"),s.setAttribute("data-v-app","")),i},t},Eu=(...e)=>{const t=la().createApp(...e),{mount:n}=t;return t.mount=r=>{const s=fi(r);if(s)return n(s,!0,ui(s))},t};function ui(e){if(e instanceof SVGElement)return"svg";if(typeof MathMLElement=="function"&&e instanceof MathMLElement)return"mathml"}function fi(e){return oe(e)?document.querySelector(e):e}const Cu=(e,t)=>{const n=e.__vccOpts||e;for(const[r,s]of t)n[r]=s;return n},ca="modulepreload",aa=function(e){return"/c/"+e},Bs={},xu=function(t,n,r){let s=Promise.resolve();if(n&&n.length>0){document.getElementsByTagName("link");const o=document.querySelector("meta[property=csp-nonce]"),i=(o==null?void 0:o.nonce)||(o==null?void 0:o.getAttribute("nonce"));s=Promise.all(n.map(l=>{if(l=aa(l),l in Bs)return;Bs[l]=!0;const c=l.endsWith(".css"),a=c?'[rel="stylesheet"]':"";if(document.querySelector(`link[href="${l}"]${a}`))return;const f=document.createElement("link");if(f.rel=c?"stylesheet":ca,c||(f.as="script",f.crossOrigin=""),f.href=l,i&&f.setAttribute("nonce",i),document.head.appendChild(f),c)return new Promise((h,m)=>{f.addEventListener("load",h),f.addEventListener("error",()=>m(new Error(`Unable to preload CSS for ${l}`)))})}))}return s.then(()=>t()).catch(o=>{const i=new Event("vite:preloadError",{cancelable:!0});if(i.payload=o,window.dispatchEvent(i),!i.defaultPrevented)throw o})},ua=window.__VP_SITE_DATA__;function kr(e){return so()?(Ki(e),!0):!1}function Fe(e){return typeof e=="function"?e():bo(e)}const di=typeof window<"u"&&typeof document<"u";typeof WorkerGlobalScope<"u"&&globalThis instanceof WorkerGlobalScope;const fa=Object.prototype.toString,da=e=>fa.call(e)==="[object Object]",Bt=()=>{},ks=ha();function ha(){var e,t;return di&&((e=window==null?void 0:window.navigator)==null?void 0:e.userAgent)&&(/iP(?:ad|hone|od)/.test(window.navigator.userAgent)||((t=window==null?void 0:window.navigator)==null?void 0:t.maxTouchPoints)>2&&/iPad|Macintosh/.test(window==null?void 0:window.navigator.userAgent))}function pa(e,t){function n(...r){return new Promise((s,o)=>{Promise.resolve(e(()=>t.apply(this,r),{fn:t,thisArg:this,args:r})).then(s).catch(o)})}return n}const hi=e=>e();function ga(e,t={}){let n,r,s=Bt;const o=l=>{clearTimeout(l),s(),s=Bt};return l=>{const c=Fe(e),a=Fe(t.maxWait);return n&&o(n),c<=0||a!==void 0&&a<=0?(r&&(o(r),r=null),Promise.resolve(l())):new Promise((f,h)=>{s=t.rejectOnCancel?h:f,a&&!r&&(r=setTimeout(()=>{n&&o(n),r=null,f(l())},a)),n=setTimeout(()=>{r&&o(r),r=null,f(l())},c)})}}function ma(e=hi){const t=se(!0);function n(){t.value=!1}function r(){t.value=!0}const s=(...o)=>{t.value&&e(...o)};return{isActive:Ln(t),pause:n,resume:r,eventFilter:s}}function ya(e){return jn()}function pi(...e){if(e.length!==1)return vl(...e);const t=e[0];return typeof t=="function"?Ln(ml(()=>({get:t,set:Bt}))):se(t)}function gi(e,t,n={}){const{eventFilter:r=hi,...s}=n;return Ne(e,pa(r,t),s)}function _a(e,t,n={}){const{eventFilter:r,...s}=n,{eventFilter:o,pause:i,resume:l,isActive:c}=ma(r);return{stop:gi(e,t,{...s,eventFilter:o}),pause:i,resume:l,isActive:c}}function Kr(e,t=!0,n){ya()?xt(e,n):t?e():In(e)}function Su(e,t,n={}){const{debounce:r=0,maxWait:s=void 0,...o}=n;return gi(e,t,{...o,eventFilter:ga(r,{maxWait:s})})}function Tu(e,t,n){let r;de(n)?r={evaluating:n}:r={};const{lazy:s=!1,evaluating:o=void 0,shallow:i=!0,onError:l=Bt}=r,c=se(!s),a=i?Fr(t):se(t);let f=0;return Ur(async h=>{if(!c.value)return;f++;const m=f;let _=!1;o&&Promise.resolve().then(()=>{o.value=!0});try{const C=await e(I=>{h(()=>{o&&(o.value=!1),_||I()})});m===f&&(a.value=C)}catch(C){l(C)}finally{o&&m===f&&(o.value=!1),_=!0}}),s?re(()=>(c.value=!0,a.value)):a}function mi(e){var t;const n=Fe(e);return(t=n==null?void 0:n.$el)!=null?t:n}const Oe=di?window:void 0;function Ct(...e){let t,n,r,s;if(typeof e[0]=="string"||Array.isArray(e[0])?([n,r,s]=e,t=Oe):[t,n,r,s]=e,!t)return Bt;Array.isArray(n)||(n=[n]),Array.isArray(r)||(r=[r]);const o=[],i=()=>{o.forEach(f=>f()),o.length=0},l=(f,h,m,_)=>(f.addEventListener(h,m,_),()=>f.removeEventListener(h,m,_)),c=Ne(()=>[mi(t),Fe(s)],([f,h])=>{if(i(),!f)return;const m=da(h)?{...h}:h;o.push(...n.flatMap(_=>r.map(C=>l(f,_,C,m))))},{immediate:!0,flush:"post"}),a=()=>{c(),i()};return kr(a),a}function va(e){return typeof e=="function"?e:typeof e=="string"?t=>t.key===e:Array.isArray(e)?t=>e.includes(t.key):()=>!0}function Au(...e){let t,n,r={};e.length===3?(t=e[0],n=e[1],r=e[2]):e.length===2?typeof e[1]=="object"?(t=!0,n=e[0],r=e[1]):(t=e[0],n=e[1]):(t=!0,n=e[0]);const{target:s=Oe,eventName:o="keydown",passive:i=!1,dedupe:l=!1}=r,c=va(t);return Ct(s,o,f=>{f.repeat&&Fe(l)||c(f)&&n(f)},i)}function ba(){const e=se(!1),t=jn();return t&&xt(()=>{e.value=!0},t),e}function wa(e){const t=ba();return re(()=>(t.value,!!e()))}function yi(e,t={}){const{window:n=Oe}=t,r=wa(()=>n&&"matchMedia"in n&&typeof n.matchMedia=="function");let s;const o=se(!1),i=a=>{o.value=a.matches},l=()=>{s&&("removeEventListener"in s?s.removeEventListener("change",i):s.removeListener(i))},c=Ur(()=>{r.value&&(l(),s=n.matchMedia(Fe(e)),"addEventListener"in s?s.addEventListener("change",i):s.addListener(i),o.value=s.matches)});return kr(()=>{c(),l(),s=void 0}),o}const ln=typeof globalThis<"u"?globalThis:typeof window<"u"?window:typeof global<"u"?global:typeof self<"u"?self:{},cn="__vueuse_ssr_handlers__",Ea=Ca();function Ca(){return cn in ln||(ln[cn]=ln[cn]||{}),ln[cn]}function _i(e,t){return Ea[e]||t}function xa(e){return e==null?"any":e instanceof Set?"set":e instanceof Map?"map":e instanceof Date?"date":typeof e=="boolean"?"boolean":typeof e=="string"?"string":typeof e=="object"?"object":Number.isNaN(e)?"any":"number"}const Sa={boolean:{read:e=>e==="true",write:e=>String(e)},object:{read:e=>JSON.parse(e),write:e=>JSON.stringify(e)},number:{read:e=>Number.parseFloat(e),write:e=>String(e)},any:{read:e=>e,write:e=>String(e)},string:{read:e=>e,write:e=>String(e)},map:{read:e=>new Map(JSON.parse(e)),write:e=>JSON.stringify(Array.from(e.entries()))},set:{read:e=>new Set(JSON.parse(e)),write:e=>JSON.stringify(Array.from(e))},date:{read:e=>new Date(e),write:e=>e.toISOString()}},Ks="vueuse-storage";function Wr(e,t,n,r={}){var s;const{flush:o="pre",deep:i=!0,listenToStorageChanges:l=!0,writeDefaults:c=!0,mergeDefaults:a=!1,shallow:f,window:h=Oe,eventFilter:m,onError:_=w=>{console.error(w)},initOnMounted:C}=r,I=(f?Fr:se)(typeof t=="function"?t():t);if(!n)try{n=_i("getDefaultStorage",()=>{var w;return(w=Oe)==null?void 0:w.localStorage})()}catch(w){_(w)}if(!n)return I;const H=Fe(t),W=xa(H),D=(s=r.serializer)!=null?s:Sa[W],{pause:p,resume:y}=_a(I,()=>A(I.value),{flush:o,deep:i,eventFilter:m});h&&l&&Kr(()=>{Ct(h,"storage",$),Ct(h,Ks,L),C&&$()}),C||$();function M(w,N){h&&h.dispatchEvent(new CustomEvent(Ks,{detail:{key:e,oldValue:w,newValue:N,storageArea:n}}))}function A(w){try{const N=n.getItem(e);if(w==null)M(N,null),n.removeItem(e);else{const T=D.write(w);N!==T&&(n.setItem(e,T),M(N,T))}}catch(N){_(N)}}function F(w){const N=w?w.newValue:n.getItem(e);if(N==null)return c&&H!=null&&n.setItem(e,D.write(H)),H;if(!w&&a){const T=D.read(N);return typeof a=="function"?a(T,H):W==="object"&&!Array.isArray(T)?{...H,...T}:T}else return typeof N!="string"?N:D.read(N)}function $(w){if(!(w&&w.storageArea!==n)){if(w&&w.key==null){I.value=H;return}if(!(w&&w.key!==e)){p();try{(w==null?void 0:w.newValue)!==D.write(I.value)&&(I.value=F(w))}catch(N){_(N)}finally{w?In(y):y()}}}}function L(w){$(w.detail)}return I}function vi(e){return yi("(prefers-color-scheme: dark)",e)}function Ta(e={}){const{selector:t="html",attribute:n="class",initialValue:r="auto",window:s=Oe,storage:o,storageKey:i="vueuse-color-scheme",listenToStorageChanges:l=!0,storageRef:c,emitAuto:a,disableTransition:f=!0}=e,h={auto:"",light:"light",dark:"dark",...e.modes||{}},m=vi({window:s}),_=re(()=>m.value?"dark":"light"),C=c||(i==null?pi(r):Wr(i,r,o,{window:s,listenToStorageChanges:l})),I=re(()=>C.value==="auto"?_.value:C.value),H=_i("updateHTMLAttrs",(y,M,A)=>{const F=typeof y=="string"?s==null?void 0:s.document.querySelector(y):mi(y);if(!F)return;let $;if(f&&($=s.document.createElement("style"),$.appendChild(document.createTextNode("*,*::before,*::after{-webkit-transition:none!important;-moz-transition:none!important;-o-transition:none!important;-ms-transition:none!important;transition:none!important}")),s.document.head.appendChild($)),M==="class"){const L=A.split(/\s/g);Object.values(h).flatMap(w=>(w||"").split(/\s/g)).filter(Boolean).forEach(w=>{L.includes(w)?F.classList.add(w):F.classList.remove(w)})}else F.setAttribute(M,A);f&&(s.getComputedStyle($).opacity,document.head.removeChild($))});function W(y){var M;H(t,n,(M=h[y])!=null?M:y)}function D(y){e.onChanged?e.onChanged(y,W):W(y)}Ne(I,D,{flush:"post",immediate:!0}),Kr(()=>D(I.value));const p=re({get(){return a?C.value:I.value},set(y){C.value=y}});try{return Object.assign(p,{store:C,system:_,state:I})}catch{return p}}function Aa(e={}){const{valueDark:t="dark",valueLight:n="",window:r=Oe}=e,s=Ta({...e,onChanged:(l,c)=>{var a;e.onChanged?(a=e.onChanged)==null||a.call(e,l==="dark",c,l):c(l)},modes:{dark:t,light:n}}),o=re(()=>s.system?s.system.value:vi({window:r}).value?"dark":"light");return re({get(){return s.value==="dark"},set(l){const c=l?"dark":"light";o.value===c?s.value="auto":s.value=c}})}function Zn(e){return typeof Window<"u"&&e instanceof Window?e.document.documentElement:typeof Document<"u"&&e instanceof Document?e.documentElement:e}function Ru(e,t,n={}){const{window:r=Oe}=n;return Wr(e,t,r==null?void 0:r.localStorage,n)}function bi(e){const t=window.getComputedStyle(e);if(t.overflowX==="scroll"||t.overflowY==="scroll"||t.overflowX==="auto"&&e.clientWidth<e.scrollWidth||t.overflowY==="auto"&&e.clientHeight<e.scrollHeight)return!0;{const n=e.parentNode;return!n||n.tagName==="BODY"?!1:bi(n)}}function Ra(e){const t=e||window.event,n=t.target;return bi(n)?!1:t.touches.length>1?!0:(t.preventDefault&&t.preventDefault(),!1)}const er=new WeakMap;function Ou(e,t=!1){const n=se(t);let r=null,s="";Ne(pi(e),l=>{const c=Zn(Fe(l));if(c){const a=c;if(er.get(a)||er.set(a,a.style.overflow),a.style.overflow!=="hidden"&&(s=a.style.overflow),a.style.overflow==="hidden")return n.value=!0;if(n.value)return a.style.overflow="hidden"}},{immediate:!0});const o=()=>{const l=Zn(Fe(e));!l||n.value||(ks&&(r=Ct(l,"touchmove",c=>{Ra(c)},{passive:!1})),l.style.overflow="hidden",n.value=!0)},i=()=>{const l=Zn(Fe(e));!l||!n.value||(ks&&(r==null||r()),l.style.overflow=s,er.delete(l),n.value=!1)};return kr(i),re({get(){return n.value},set(l){l?o():i()}})}function Lu(e,t,n={}){const{window:r=Oe}=n;return Wr(e,t,r==null?void 0:r.sessionStorage,n)}function Iu(e={}){const{window:t=Oe,behavior:n="auto"}=e;if(!t)return{x:se(0),y:se(0)};const r=se(t.scrollX),s=se(t.scrollY),o=re({get(){return r.value},set(l){scrollTo({left:l,behavior:n})}}),i=re({get(){return s.value},set(l){scrollTo({top:l,behavior:n})}});return Ct(t,"scroll",()=>{r.value=t.scrollX,s.value=t.scrollY},{capture:!1,passive:!0}),{x:o,y:i}}function Mu(e={}){const{window:t=Oe,initialWidth:n=Number.POSITIVE_INFINITY,initialHeight:r=Number.POSITIVE_INFINITY,listenOrientation:s=!0,includeScrollbar:o=!0}=e,i=se(n),l=se(r),c=()=>{t&&(o?(i.value=t.innerWidth,l.value=t.innerHeight):(i.value=t.document.documentElement.clientWidth,l.value=t.document.documentElement.clientHeight))};if(c(),Kr(c),Ct("resize",c,{passive:!0}),s){const a=yi("(orientation: portrait)");Ne(a,()=>c())}return{width:i,height:l}}var tr={BASE_URL:"/c/",MODE:"production",DEV:!1,PROD:!0,SSR:!1},nr={};const wi=/^(?:[a-z]+:|\/\/)/i,Oa="vitepress-theme-appearance",La=/#.*$/,Ia=/[?#].*$/,Ma=/(?:(^|\/)index)?\.(?:md|html)$/,he=typeof document<"u",Ei={relativePath:"404.md",filePath:"",title:"404",description:"Not Found",headers:[],frontmatter:{sidebar:!1,layout:"page"},lastUpdated:0,isNotFound:!0};function Pa(e,t,n=!1){if(t===void 0)return!1;if(e=Ws(`/${e}`),n)return new RegExp(t).test(e);if(Ws(t)!==e)return!1;const r=t.match(La);return r?(he?location.hash:"")===r[0]:!0}function Ws(e){return decodeURI(e).replace(Ia,"").replace(Ma,"$1")}function Na(e){return wi.test(e)}function Fa(e,t){return Object.keys((e==null?void 0:e.locales)||{}).find(n=>n!=="root"&&!Na(n)&&Pa(t,`/${n}/`,!0))||"root"}function $a(e,t){var r,s,o,i,l,c,a;const n=Fa(e,t);return Object.assign({},e,{localeIndex:n,lang:((r=e.locales[n])==null?void 0:r.lang)??e.lang,dir:((s=e.locales[n])==null?void 0:s.dir)??e.dir,title:((o=e.locales[n])==null?void 0:o.title)??e.title,titleTemplate:((i=e.locales[n])==null?void 0:i.titleTemplate)??e.titleTemplate,description:((l=e.locales[n])==null?void 0:l.description)??e.description,head:xi(e.head,((c=e.locales[n])==null?void 0:c.head)??[]),themeConfig:{...e.themeConfig,...(a=e.locales[n])==null?void 0:a.themeConfig}})}function Ci(e,t){const n=t.title||e.title,r=t.titleTemplate??e.titleTemplate;if(typeof r=="string"&&r.includes(":title"))return r.replace(/:title/g,n);const s=Ha(e.title,r);return n===s.slice(3)?n:`${n}${s}`}function Ha(e,t){return t===!1?"":t===!0||t===void 0?` | ${e}`:e===t?"":` | ${t}`}function ja(e,t){const[n,r]=t;if(n!=="meta")return!1;const s=Object.entries(r)[0];return s==null?!1:e.some(([o,i])=>o===n&&i[s[0]]===s[1])}function xi(e,t){return[...e.filter(n=>!ja(t,n)),...t]}const Va=/[\u0000-\u001F"#$&*+,:;<=>?[\]^`{|}\u007F]/g,Da=/^[a-z]:/i;function qs(e){const t=Da.exec(e),n=t?t[0]:"";return n+e.slice(n.length).replace(Va,"_").replace(/(^|\/)_+(?=[^/]*$)/,"$1")}const rr=new Set;function Ua(e){if(rr.size===0){const n=typeof process=="object"&&(nr==null?void 0:nr.VITE_EXTRA_EXTENSIONS)||(tr==null?void 0:tr.VITE_EXTRA_EXTENSIONS)||"";("3g2,3gp,aac,ai,apng,au,avif,bin,bmp,cer,class,conf,crl,css,csv,dll,doc,eps,epub,exe,gif,gz,ics,ief,jar,jpe,jpeg,jpg,js,json,jsonld,m4a,man,mid,midi,mjs,mov,mp2,mp3,mp4,mpe,mpeg,mpg,mpp,oga,ogg,ogv,ogx,opus,otf,p10,p7c,p7m,p7s,pdf,png,ps,qt,roff,rtf,rtx,ser,svg,t,tif,tiff,tr,ts,tsv,ttf,txt,vtt,wav,weba,webm,webp,woff,woff2,xhtml,xml,yaml,yml,zip"+(n&&typeof n=="string"?","+n:"")).split(",").forEach(r=>rr.add(r))}const t=e.split(".").pop();return t==null||!rr.has(t.toLowerCase())}function Pu(e){return e.replace(/[|\\{}()[\]^$+*?.]/g,"\\$&").replace(/-/g,"\\x2d")}const Ba=Symbol(),ut=Fr(ua);function Nu(e){const t=re(()=>$a(ut.value,e.data.relativePath)),n=t.value.appearance,r=n==="force-dark"?se(!0):n?Aa({storageKey:Oa,initialValue:()=>typeof n=="string"?n:"auto",...typeof n=="object"?n:{}}):se(!1),s=se(he?location.hash:"");return he&&window.addEventListener("hashchange",()=>{s.value=location.hash}),Ne(()=>e.data,()=>{s.value=he?location.hash:""}),{site:t,theme:re(()=>t.value.themeConfig),page:re(()=>e.data),frontmatter:re(()=>e.data.frontmatter),params:re(()=>e.data.params),lang:re(()=>t.value.lang),dir:re(()=>e.data.frontmatter.dir||t.value.dir),localeIndex:re(()=>t.value.localeIndex||"root"),title:re(()=>Ci(t.value,e.data)),description:re(()=>e.data.description||t.value.description),isDark:r,hash:re(()=>s.value)}}function ka(){const e=wt(Ba);if(!e)throw new Error("vitepress data not properly injected in app");return e}function Ka(e,t){return`${e}${t}`.replace(/\/+/g,"/")}function Gs(e){return wi.test(e)||!e.startsWith("/")?e:Ka(ut.value.base,e)}function Wa(e){let t=e.replace(/\.html$/,"");if(t=decodeURIComponent(t),t=t.replace(/\/$/,"/index"),he){const n="/c/";t=qs(t.slice(n.length).replace(/\//g,"_")||"index")+".md";let r=__VP_HASH_MAP__[t.toLowerCase()];if(r||(t=t.endsWith("_index.md")?t.slice(0,-9)+".md":t.slice(0,-3)+"_index.md",r=__VP_HASH_MAP__[t.toLowerCase()]),!r)return null;t=`${n}assets/${t}.${r}.js`}else t=`./${qs(t.slice(1).replace(/\//g,"_"))}.md.js`;return t}let gn=[];function Fu(e){gn.push(e),$n(()=>{gn=gn.filter(t=>t!==e)})}function qa(){let e=ut.value.scrollOffset,t=0,n=24;if(typeof e=="object"&&"padding"in e&&(n=e.padding,e=e.selector),typeof e=="number")t=e;else if(typeof e=="string")t=Xs(e,n);else if(Array.isArray(e))for(const r of e){const s=Xs(r,n);if(s){t=s;break}}return t}function Xs(e,t){const n=document.querySelector(e);if(!n)return 0;const r=n.getBoundingClientRect().bottom;return r<0?0:r+t}const Ga=Symbol(),Si="http://a.com",Xa=()=>({path:"/",component:null,data:Ei});function $u(e,t){const n=On(Xa()),r={route:n,go:s};async function s(l=he?location.href:"/"){var c,a;l=sr(l),await((c=r.onBeforeRouteChange)==null?void 0:c.call(r,l))!==!1&&(he&&l!==sr(location.href)&&(history.replaceState({scrollPosition:window.scrollY},""),history.pushState({},"",l)),await i(l),await((a=r.onAfterRouteChanged)==null?void 0:a.call(r,l)))}let o=null;async function i(l,c=0,a=!1){var m;if(await((m=r.onBeforePageLoad)==null?void 0:m.call(r,l))===!1)return;const f=new URL(l,Si),h=o=f.pathname;try{let _=await e(h);if(!_)throw new Error(`Page not found: ${h}`);if(o===h){o=null;const{default:C,__pageData:I}=_;if(!C)throw new Error(`Invalid route component: ${C}`);n.path=he?h:Gs(h),n.component=dn(C),n.data=dn(I),he&&In(()=>{let H=ut.value.base+I.relativePath.replace(/(?:(^|\/)index)?\.md$/,"$1");if(!ut.value.cleanUrls&&!H.endsWith("/")&&(H+=".html"),H!==f.pathname&&(f.pathname=H,l=H+f.search+f.hash,history.replaceState({},"",l)),f.hash&&!c){let W=null;try{W=document.getElementById(decodeURIComponent(f.hash).slice(1))}catch(D){console.warn(D)}if(W){Ys(W,f.hash);return}}window.scrollTo(0,c)})}}catch(_){if(!/fetch|Page not found/.test(_.message)&&!/^\/404(\.html|\/)?$/.test(l)&&console.error(_),!a)try{const C=await fetch(ut.value.base+"hashmap.json");window.__VP_HASH_MAP__=await C.json(),await i(l,c,!0);return}catch{}if(o===h){o=null,n.path=he?h:Gs(h),n.component=t?dn(t):null;const C=he?h.replace(/(^|\/)$/,"$1index").replace(/(\.html)?$/,".md").replace(/^\//,""):"404.md";n.data={...Ei,relativePath:C}}}}return he&&(history.state===null&&history.replaceState({},""),window.addEventListener("click",l=>{if(l.target.closest("button"))return;const a=l.target.closest("a");if(a&&!a.closest(".vp-raw")&&(a instanceof SVGElement||!a.download)){const{target:f}=a,{href:h,origin:m,pathname:_,hash:C,search:I}=new URL(a.href instanceof SVGAnimatedString?a.href.animVal:a.href,a.baseURI),H=new URL(location.href);!l.ctrlKey&&!l.shiftKey&&!l.altKey&&!l.metaKey&&!f&&m===H.origin&&Ua(_)&&(l.preventDefault(),_===H.pathname&&I===H.search?(C!==H.hash&&(history.pushState({},"",h),window.dispatchEvent(new HashChangeEvent("hashchange",{oldURL:H.href,newURL:h}))),C?Ys(a,C,a.classList.contains("header-anchor")):window.scrollTo(0,0)):s(h))}},{capture:!0}),window.addEventListener("popstate",async l=>{var c;l.state!==null&&(await i(sr(location.href),l.state&&l.state.scrollPosition||0),(c=r.onAfterRouteChanged)==null||c.call(r,location.href))}),window.addEventListener("hashchange",l=>{l.preventDefault()})),r}function Ya(){const e=wt(Ga);if(!e)throw new Error("useRouter() is called without provider.");return e}function Ti(){return Ya().route}function Ys(e,t,n=!1){let r=null;try{r=e.classList.contains("header-anchor")?e:document.getElementById(decodeURIComponent(t).slice(1))}catch(s){console.warn(s)}if(r){let s=function(){!n||Math.abs(i-window.scrollY)>window.innerHeight?window.scrollTo(0,i):window.scrollTo({left:0,top:i,behavior:"smooth"})};const o=parseInt(window.getComputedStyle(r).paddingTop,10),i=window.scrollY+r.getBoundingClientRect().top-qa()+o;requestAnimationFrame(s)}}function sr(e){const t=new URL(e,Si);return t.pathname=t.pathname.replace(/(^|\/)index(\.html)?$/,"$1"),ut.value.cleanUrls?t.pathname=t.pathname.replace(/\.html$/,""):!t.pathname.endsWith("/")&&!t.pathname.endsWith(".html")&&(t.pathname+=".html"),t.pathname+t.search+t.hash}const or=()=>gn.forEach(e=>e()),Hu=Hr({name:"VitePressContent",props:{as:{type:[Object,String],default:"div"}},setup(e){const t=Ti(),{site:n}=ka();return()=>br(e.as,n.value.contentProps??{style:{position:"relative"}},[t.component?br(t.component,{onVnodeMounted:or,onVnodeUpdated:or,onVnodeUnmounted:or}):"404 Page Not Found"])}}),ju=Hr({setup(e,{slots:t}){const n=se(!1);return xt(()=>{n.value=!0}),()=>n.value&&t.default?t.default():null}});function Vu(){he&&window.addEventListener("click",e=>{var n;const t=e.target;if(t.matches(".vp-code-group input")){const r=(n=t.parentElement)==null?void 0:n.parentElement;if(!r)return;const s=Array.from(r.querySelectorAll("input")).indexOf(t);if(s<0)return;const o=r.querySelector(".blocks");if(!o)return;const i=Array.from(o.children).find(a=>a.classList.contains("active"));if(!i)return;const l=o.children[s];if(!l||i===l)return;i.classList.remove("active"),l.classList.add("active");const c=r==null?void 0:r.querySelector(`label[for="${t.id}"]`);c==null||c.scrollIntoView({block:"nearest"})}})}function Du(){if(he){const e=new WeakMap;window.addEventListener("click",t=>{var r;const n=t.target;if(n.matches('div[class*="language-"] > button.copy')){const s=n.parentElement,o=(r=n.nextElementSibling)==null?void 0:r.nextElementSibling;if(!s||!o)return;const i=/language-(shellscript|shell|bash|sh|zsh)/.test(s.className),l=[".vp-copy-ignore",".diff.remove"],c=o.cloneNode(!0);c.querySelectorAll(l.join(",")).forEach(f=>f.remove());let a=c.textContent||"";i&&(a=a.replace(/^ *(\$|>) /gm,"").trim()),za(a).then(()=>{n.classList.add("copied"),clearTimeout(e.get(n));const f=setTimeout(()=>{n.classList.remove("copied"),n.blur(),e.delete(n)},2e3);e.set(n,f)})}})}}async function za(e){try{return navigator.clipboard.writeText(e)}catch{const t=document.createElement("textarea"),n=document.activeElement;t.value=e,t.setAttribute("readonly",""),t.style.contain="strict",t.style.position="absolute",t.style.left="-9999px",t.style.fontSize="12pt";const r=document.getSelection(),s=r?r.rangeCount>0&&r.getRangeAt(0):null;document.body.appendChild(t),t.select(),t.selectionStart=0,t.selectionEnd=e.length,document.execCommand("copy"),document.body.removeChild(t),s&&(r.removeAllRanges(),r.addRange(s)),n&&n.focus()}}function Uu(e,t){let n=!0,r=[];const s=o=>{if(n){n=!1,o.forEach(l=>{const c=ir(l);for(const a of document.head.children)if(a.isEqualNode(c)){r.push(a);return}});return}const i=o.map(ir);r.forEach((l,c)=>{const a=i.findIndex(f=>f==null?void 0:f.isEqualNode(l??null));a!==-1?delete i[a]:(l==null||l.remove(),delete r[c])}),i.forEach(l=>l&&document.head.appendChild(l)),r=[...r,...i].filter(Boolean)};Ur(()=>{const o=e.data,i=t.value,l=o&&o.description,c=o&&o.frontmatter.head||[],a=Ci(i,o);a!==document.title&&(document.title=a);const f=l||i.description;let h=document.querySelector("meta[name=description]");h?h.getAttribute("content")!==f&&h.setAttribute("content",f):ir(["meta",{name:"description",content:f}]),s(xi(i.head,Qa(c)))})}function ir([e,t,n]){const r=document.createElement(e);for(const s in t)r.setAttribute(s,t[s]);return n&&(r.innerHTML=n),e==="script"&&!t.async&&(r.async=!1),r}function Ja(e){return e[0]==="meta"&&e[1]&&e[1].name==="description"}function Qa(e){return e.filter(t=>!Ja(t))}const lr=new Set,Ai=()=>document.createElement("link"),Za=e=>{const t=Ai();t.rel="prefetch",t.href=e,document.head.appendChild(t)},eu=e=>{const t=new XMLHttpRequest;t.open("GET",e,t.withCredentials=!0),t.send()};let an;const tu=he&&(an=Ai())&&an.relList&&an.relList.supports&&an.relList.supports("prefetch")?Za:eu;function Bu(){if(!he||!window.IntersectionObserver)return;let e;if((e=navigator.connection)&&(e.saveData||/2g/.test(e.effectiveType)))return;const t=window.requestIdleCallback||setTimeout;let n=null;const r=()=>{n&&n.disconnect(),n=new IntersectionObserver(o=>{o.forEach(i=>{if(i.isIntersecting){const l=i.target;n.unobserve(l);const{pathname:c}=l;if(!lr.has(c)){lr.add(c);const a=Wa(c);a&&tu(a)}}})}),t(()=>{document.querySelectorAll("#app a").forEach(o=>{const{hostname:i,pathname:l}=new URL(o.href instanceof SVGAnimatedString?o.href.animVal:o.href,o.baseURI),c=l.match(/\.\w+$/);c&&c[0]!==".html"||o.target!=="_blank"&&i===location.hostname&&(l!==location.pathname?n.observe(o):lr.add(l))})})};xt(r);const s=Ti();Ne(()=>s.path,r),$n(()=>{n&&n.disconnect()})}export{bu as $,hu as A,Fl as B,qa as C,ou as D,cu as E,_e as F,Fr as G,Fu as H,ie as I,iu as J,wi as K,Ti as L,Ec as M,wt as N,Mu as O,Sr as P,Au as Q,In as R,Iu as S,li as T,he as U,Ln as V,au as W,xu as X,Ou as Y,Yl as Z,Cu as _,ri as a,fu as a0,vu as a1,du as a2,wu as a3,br as a4,mu as a5,Uu as a6,Ga as a7,Nu as a8,Ba as a9,Hu as aa,ju as ab,ut as ac,Eu as ad,$u as ae,Wa as af,Bu as ag,Du as ah,Vu as ai,mi as aj,kr as ak,Tu as al,Lu as am,Ru as an,Su as ao,Ya as ap,Ct as aq,Lo as ar,lu as as,_u as at,de as au,pu as av,dn as aw,Pu as ax,ei as b,gu as c,Hr as d,yu as e,Ua as f,Gs as g,re as h,Na as i,ni as j,bo as k,su as l,Pa as m,Tr as n,Qo as o,ru as p,yi as q,uu as r,se as s,nu as t,ka as u,Ne as v,Al as w,Ur as x,xt as y,$n as z};
--- a/assets/chunks/framework.CZKtKhAm.js
+++ b/assets/chunks/framework.CZKtKhAm.js
@ -0,0 +1,17 @@
+/**
+* @vue/shared v3.4.33
+* (c) 2018-present Yuxi (Evan) You and Vue contributors
+* @license MIT
+**//*! #__NO_SIDE_EFFECTS__ */function wr(e,t){const n=new Set(e.split(","));return r=>n.has(r)}const ne={},yt=[],Te=()=>{},Pi=()=>!1,Kt=e=>e.charCodeAt(0)===111&&e.charCodeAt(1)===110&&(e.charCodeAt(2)>122||e.charCodeAt(2)<97),Er=e=>e.startsWith("onUpdate:"),fe=Object.assign,Cr=(e,t)=>{const n=e.indexOf(t);n>-1&&e.splice(n,1)},Ni=Object.prototype.hasOwnProperty,z=(e,t)=>Ni.call(e,t),B=Array.isArray,_t=e=>xn(e)==="[object Map]",zs=e=>xn(e)==="[object Set]",K=e=>typeof e=="function",ie=e=>typeof e=="string",Qe=e=>typeof e=="symbol",Z=e=>e!==null&&typeof e=="object",Js=e=>(Z(e)||K(e))&&K(e.then)&&K(e.catch),Qs=Object.prototype.toString,xn=e=>Qs.call(e),Fi=e=>xn(e).slice(8,-1),Zs=e=>xn(e)==="[object Object]",Sr=e=>ie(e)&&e!=="NaN"&&e[0]!=="-"&&""+parseInt(e,10)===e,bt=wr(",key,ref,ref_for,ref_key,onVnodeBeforeMount,onVnodeMounted,onVnodeBeforeUpdate,onVnodeUpdated,onVnodeBeforeUnmount,onVnodeUnmounted"),Tn=e=>{const t=Object.create(null);return n=>t[n]||(t[n]=e(n))},$i=/-(\w)/g,Oe=Tn(e=>e.replace($i,(t,n)=>n?n.toUpperCase():"")),Hi=/\B([A-Z])/g,Ze=Tn(e=>e.replace(Hi,"-$1").toLowerCase()),An=Tn(e=>e.charAt(0).toUpperCase()+e.slice(1)),fn=Tn(e=>e?`on${An(e)}`:""),ze=(e,t)=>!Object.is(e,t),dn=(e,...t)=>{for(let n=0;n<e.length;n++)e[n](...t)},eo=(e,t,n,r=!1)=>{Object.defineProperty(e,t,{configurable:!0,enumerable:!1,writable:r,value:n})},cr=e=>{const t=parseFloat(e);return isNaN(t)?e:t},ji=e=>{const t=ie(e)?Number(e):NaN;return isNaN(t)?e:t};let Jr;const to=()=>Jr||(Jr=typeof globalThis<"u"?globalThis:typeof self<"u"?self:typeof window<"u"?window:typeof global<"u"?global:{});function xr(e){if(B(e)){const t={};for(let n=0;n<e.length;n++){const r=e[n],s=ie(r)?Bi(r):xr(r);if(s)for(const o in s)t[o]=s[o]}return t}else if(ie(e)||Z(e))return e}const Vi=/;(?![^(]*\))/g,Di=/:([^]+)/,Ui=/\/\*[^]*?\*\//g;function Bi(e){const t={};return e.replace(Ui,"").split(Vi).forEach(n=>{if(n){const r=n.split(Di);r.length>1&&(t[r[0].trim()]=r[1].trim())}}),t}function Tr(e){let t="";if(ie(e))t=e;else if(B(e))for(let n=0;n<e.length;n++){const r=Tr(e[n]);r&&(t+=r+" ")}else if(Z(e))for(const n in e)e[n]&&(t+=n+" ");return t.trim()}const ki="itemscope,allowfullscreen,formnovalidate,ismap,nomodule,novalidate,readonly",Ki=wr(ki);function no(e){return!!e||e===""}const ro=e=>!!(e&&e.__v_isRef===!0),Wi=e=>ie(e)?e:e==null?"":B(e)||Z(e)&&(e.toString===Qs||!K(e.toString))?ro(e)?Wi(e.value):JSON.stringify(e,so,2):String(e),so=(e,t)=>ro(t)?so(e,t.value):_t(t)?{[`Map(${t.size})`]:[...t.entries()].reduce((n,[r,s],o)=>(n[kn(r,o)+" =>"]=s,n),{})}:zs(t)?{[`Set(${t.size})`]:[...t.values()].map(n=>kn(n))}:Qe(t)?kn(t):Z(t)&&!B(t)&&!Zs(t)?String(t):t,kn=(e,t="")=>{var n;return Qe(e)?`Symbol(${(n=e.description)!=null?n:t})`:e};/**
+* @vue/reactivity v3.4.33
+* (c) 2018-present Yuxi (Evan) You and Vue contributors
+* @license MIT
+**/let we;class qi{constructor(t=!1){this.detached=t,this._active=!0,this.effects=[],this.cleanups=[],this.parent=we,!t&&we&&(this.index=(we.scopes||(we.scopes=[])).push(this)-1)}get active(){return this._active}run(t){if(this._active){const n=we;try{return we=this,t()}finally{we=n}}}on(){we=this}off(){we=this.parent}stop(t){if(this._active){let n,r;for(n=0,r=this.effects.length;n<r;n++)this.effects[n].stop();for(n=0,r=this.cleanups.length;n<r;n++)this.cleanups[n]();if(this.scopes)for(n=0,r=this.scopes.length;n<r;n++)this.scopes[n].stop(!0);if(!this.detached&&this.parent&&!t){const s=this.parent.scopes.pop();s&&s!==this&&(this.parent.scopes[this.index]=s,s.index=this.index)}this.parent=void 0,this._active=!1}}}function Gi(e,t=we){t&&t.active&&t.effects.push(e)}function oo(){return we}function Xi(e){we&&we.cleanups.push(e)}let ct;class Ar{constructor(t,n,r,s){this.fn=t,this.trigger=n,this.scheduler=r,this.active=!0,this.deps=[],this._dirtyLevel=4,this._trackId=0,this._runnings=0,this._shouldSchedule=!1,this._depsLength=0,Gi(this,s)}get dirty(){if(this._dirtyLevel===2||this._dirtyLevel===3){this._dirtyLevel=1,et();for(let t=0;t<this._depsLength;t++){const n=this.deps[t];if(n.computed&&(Yi(n.computed),this._dirtyLevel>=4))break}this._dirtyLevel===1&&(this._dirtyLevel=0),tt()}return this._dirtyLevel>=4}set dirty(t){this._dirtyLevel=t?4:0}run(){if(this._dirtyLevel=0,!this.active)return this.fn();let t=Xe,n=ct;try{return Xe=!0,ct=this,this._runnings++,Qr(this),this.fn()}finally{Zr(this),this._runnings--,ct=n,Xe=t}}stop(){this.active&&(Qr(this),Zr(this),this.onStop&&this.onStop(),this.active=!1)}}function Yi(e){return e.value}function Qr(e){e._trackId++,e._depsLength=0}function Zr(e){if(e.deps.length>e._depsLength){for(let t=e._depsLength;t<e.deps.length;t++)io(e.deps[t],e);e.deps.length=e._depsLength}}function io(e,t){const n=e.get(t);n!==void 0&&t._trackId!==n&&(e.delete(t),e.size===0&&e.cleanup())}let Xe=!0,ar=0;const lo=[];function et(){lo.push(Xe),Xe=!1}function tt(){const e=lo.pop();Xe=e===void 0?!0:e}function Rr(){ar++}function Or(){for(ar--;!ar&&ur.length;)ur.shift()()}function co(e,t,n){if(t.get(e)!==e._trackId){t.set(e,e._trackId);const r=e.deps[e._depsLength];r!==t?(r&&io(r,e),e.deps[e._depsLength++]=t):e._depsLength++}}const ur=[];function ao(e,t,n){Rr();for(const r of e.keys()){let s;r._dirtyLevel<t&&(s??(s=e.get(r)===r._trackId))&&(r._shouldSchedule||(r._shouldSchedule=r._dirtyLevel===0),r._dirtyLevel=t),r._shouldSchedule&&(s??(s=e.get(r)===r._trackId))&&(r.trigger(),(!r._runnings||r.allowRecurse)&&r._dirtyLevel!==2&&(r._shouldSchedule=!1,r.scheduler&&ur.push(r.scheduler)))}Or()}const uo=(e,t)=>{const n=new Map;return n.cleanup=e,n.computed=t,n},yn=new WeakMap,at=Symbol(""),fr=Symbol("");function be(e,t,n){if(Xe&&ct){let r=yn.get(e);r||yn.set(e,r=new Map);let s=r.get(n);s||r.set(n,s=uo(()=>r.delete(n))),co(ct,s)}}function Ve(e,t,n,r,s,o){const i=yn.get(e);if(!i)return;let l=[];if(t==="clear")l=[...i.values()];else if(n==="length"&&B(e)){const c=Number(r);i.forEach((u,f)=>{(f==="length"||!Qe(f)&&f>=c)&&l.push(u)})}else switch(n!==void 0&&l.push(i.get(n)),t){case"add":B(e)?Sr(n)&&l.push(i.get("length")):(l.push(i.get(at)),_t(e)&&l.push(i.get(fr)));break;case"delete":B(e)||(l.push(i.get(at)),_t(e)&&l.push(i.get(fr)));break;case"set":_t(e)&&l.push(i.get(at));break}Rr();for(const c of l)c&&ao(c,4);Or()}function zi(e,t){const n=yn.get(e);return n&&n.get(t)}const Ji=wr("__proto__,__v_isRef,__isVue"),fo=new Set(Object.getOwnPropertyNames(Symbol).filter(e=>e!=="arguments"&&e!=="caller").map(e=>Symbol[e]).filter(Qe)),es=Qi();function Qi(){const e={};return["includes","indexOf","lastIndexOf"].forEach(t=>{e[t]=function(...n){const r=J(this);for(let o=0,i=this.length;o<i;o++)be(r,"get",o+"");const s=r[t](...n);return s===-1||s===!1?r[t](...n.map(J)):s}}),["push","pop","shift","unshift","splice"].forEach(t=>{e[t]=function(...n){et(),Rr();const r=J(this)[t].apply(this,n);return Or(),tt(),r}}),e}function Zi(e){Qe(e)||(e=String(e));const t=J(this);return be(t,"has",e),t.hasOwnProperty(e)}class ho{constructor(t=!1,n=!1){this._isReadonly=t,this._isShallow=n}get(t,n,r){const s=this._isReadonly,o=this._isShallow;if(n==="__v_isReactive")return!s;if(n==="__v_isReadonly")return s;if(n==="__v_isShallow")return o;if(n==="__v_raw")return r===(s?o?dl:yo:o?mo:go).get(t)||Object.getPrototypeOf(t)===Object.getPrototypeOf(r)?t:void 0;const i=B(t);if(!s){if(i&&z(es,n))return Reflect.get(es,n,r);if(n==="hasOwnProperty")return Zi}const l=Reflect.get(t,n,r);return(Qe(n)?fo.has(n):Ji(n))||(s||be(t,"get",n),o)?l:de(l)?i&&Sr(n)?l:l.value:Z(l)?s?Ln(l):On(l):l}}class po extends ho{constructor(t=!1){super(!1,t)}set(t,n,r,s){let o=t[n];if(!this._isShallow){const c=dt(o);if(!St(r)&&!dt(r)&&(o=J(o),r=J(r)),!B(t)&&de(o)&&!de(r))return c?!1:(o.value=r,!0)}const i=B(t)&&Sr(n)?Number(n)<t.length:z(t,n),l=Reflect.set(t,n,r,s);return t===J(s)&&(i?ze(r,o)&&Ve(t,"set",n,r):Ve(t,"add",n,r)),l}deleteProperty(t,n){const r=z(t,n);t[n];const s=Reflect.deleteProperty(t,n);return s&&r&&Ve(t,"delete",n,void 0),s}has(t,n){const r=Reflect.has(t,n);return(!Qe(n)||!fo.has(n))&&be(t,"has",n),r}ownKeys(t){return be(t,"iterate",B(t)?"length":at),Reflect.ownKeys(t)}}class el extends ho{constructor(t=!1){super(!0,t)}set(t,n){return!0}deleteProperty(t,n){return!0}}const tl=new po,nl=new el,rl=new po(!0);const Lr=e=>e,Rn=e=>Reflect.getPrototypeOf(e);function Jt(e,t,n=!1,r=!1){e=e.__v_raw;const s=J(e),o=J(t);n||(ze(t,o)&&be(s,"get",t),be(s,"get",o));const{has:i}=Rn(s),l=r?Lr:n?Pr:jt;if(i.call(s,t))return l(e.get(t));if(i.call(s,o))return l(e.get(o));e!==s&&e.get(t)}function Qt(e,t=!1){const n=this.__v_raw,r=J(n),s=J(e);return t||(ze(e,s)&&be(r,"has",e),be(r,"has",s)),e===s?n.has(e):n.has(e)||n.has(s)}function Zt(e,t=!1){return e=e.__v_raw,!t&&be(J(e),"iterate",at),Reflect.get(e,"size",e)}function ts(e,t=!1){!t&&!St(e)&&!dt(e)&&(e=J(e));const n=J(this);return Rn(n).has.call(n,e)||(n.add(e),Ve(n,"add",e,e)),this}function ns(e,t,n=!1){!n&&!St(t)&&!dt(t)&&(t=J(t));const r=J(this),{has:s,get:o}=Rn(r);let i=s.call(r,e);i||(e=J(e),i=s.call(r,e));const l=o.call(r,e);return r.set(e,t),i?ze(t,l)&&Ve(r,"set",e,t):Ve(r,"add",e,t),this}function rs(e){const t=J(this),{has:n,get:r}=Rn(t);let s=n.call(t,e);s||(e=J(e),s=n.call(t,e)),r&&r.call(t,e);const o=t.delete(e);return s&&Ve(t,"delete",e,void 0),o}function ss(){const e=J(this),t=e.size!==0,n=e.clear();return t&&Ve(e,"clear",void 0,void 0),n}function en(e,t){return function(r,s){const o=this,i=o.__v_raw,l=J(i),c=t?Lr:e?Pr:jt;return!e&&be(l,"iterate",at),i.forEach((u,f)=>r.call(s,c(u),c(f),o))}}function tn(e,t,n){return function(...r){const s=this.__v_raw,o=J(s),i=_t(o),l=e==="entries"||e===Symbol.iterator&&i,c=e==="keys"&&i,u=s[e](...r),f=n?Lr:t?Pr:jt;return!t&&be(o,"iterate",c?fr:at),{next(){const{value:h,done:m}=u.next();return m?{value:h,done:m}:{value:l?[f(h[0]),f(h[1])]:f(h),done:m}},[Symbol.iterator](){return this}}}}function Ue(e){return function(...t){return e==="delete"?!1:e==="clear"?void 0:this}}function sl(){const e={get(o){return Jt(this,o)},get size(){return Zt(this)},has:Qt,add:ts,set:ns,delete:rs,clear:ss,forEach:en(!1,!1)},t={get(o){return Jt(this,o,!1,!0)},get size(){return Zt(this)},has:Qt,add(o){return ts.call(this,o,!0)},set(o,i){return ns.call(this,o,i,!0)},delete:rs,clear:ss,forEach:en(!1,!0)},n={get(o){return Jt(this,o,!0)},get size(){return Zt(this,!0)},has(o){return Qt.call(this,o,!0)},add:Ue("add"),set:Ue("set"),delete:Ue("delete"),clear:Ue("clear"),forEach:en(!0,!1)},r={get(o){return Jt(this,o,!0,!0)},get size(){return Zt(this,!0)},has(o){return Qt.call(this,o,!0)},add:Ue("add"),set:Ue("set"),delete:Ue("delete"),clear:Ue("clear"),forEach:en(!0,!0)};return["keys","values","entries",Symbol.iterator].forEach(o=>{e[o]=tn(o,!1,!1),n[o]=tn(o,!0,!1),t[o]=tn(o,!1,!0),r[o]=tn(o,!0,!0)}),[e,n,t,r]}const[ol,il,ll,cl]=sl();function Mr(e,t){const n=t?e?cl:ll:e?il:ol;return(r,s,o)=>s==="__v_isReactive"?!e:s==="__v_isReadonly"?e:s==="__v_raw"?r:Reflect.get(z(n,s)&&s in r?n:r,s,o)}const al={get:Mr(!1,!1)},ul={get:Mr(!1,!0)},fl={get:Mr(!0,!1)};const go=new WeakMap,mo=new WeakMap,yo=new WeakMap,dl=new WeakMap;function hl(e){switch(e){case"Object":case"Array":return 1;case"Map":case"Set":case"WeakMap":case"WeakSet":return 2;default:return 0}}function pl(e){return e.__v_skip||!Object.isExtensible(e)?0:hl(Fi(e))}function On(e){return dt(e)?e:Ir(e,!1,tl,al,go)}function gl(e){return Ir(e,!1,rl,ul,mo)}function Ln(e){return Ir(e,!0,nl,fl,yo)}function Ir(e,t,n,r,s){if(!Z(e)||e.__v_raw&&!(t&&e.__v_isReactive))return e;const o=s.get(e);if(o)return o;const i=pl(e);if(i===0)return e;const l=new Proxy(e,i===2?r:n);return s.set(e,l),l}function vt(e){return dt(e)?vt(e.__v_raw):!!(e&&e.__v_isReactive)}function dt(e){return!!(e&&e.__v_isReadonly)}function St(e){return!!(e&&e.__v_isShallow)}function _o(e){return e?!!e.__v_raw:!1}function J(e){const t=e&&e.__v_raw;return t?J(t):e}function hn(e){return Object.isExtensible(e)&&eo(e,"__v_skip",!0),e}const jt=e=>Z(e)?On(e):e,Pr=e=>Z(e)?Ln(e):e;class bo{constructor(t,n,r,s){this.getter=t,this._setter=n,this.dep=void 0,this.__v_isRef=!0,this.__v_isReadonly=!1,this.effect=new Ar(()=>t(this._value),()=>Mt(this,this.effect._dirtyLevel===2?2:3)),this.effect.computed=this,this.effect.active=this._cacheable=!s,this.__v_isReadonly=r}get value(){const t=J(this);return(!t._cacheable||t.effect.dirty)&&ze(t._value,t._value=t.effect.run())&&Mt(t,4),Nr(t),t.effect._dirtyLevel>=2&&Mt(t,2),t._value}set value(t){this._setter(t)}get _dirty(){return this.effect.dirty}set _dirty(t){this.effect.dirty=t}}function ml(e,t,n=!1){let r,s;const o=K(e);return o?(r=e,s=Te):(r=e.get,s=e.set),new bo(r,s,o||!s,n)}function Nr(e){var t;Xe&&ct&&(e=J(e),co(ct,(t=e.dep)!=null?t:e.dep=uo(()=>e.dep=void 0,e instanceof bo?e:void 0)))}function Mt(e,t=4,n,r){e=J(e);const s=e.dep;s&&ao(s,t)}function de(e){return!!(e&&e.__v_isRef===!0)}function oe(e){return vo(e,!1)}function Fr(e){return vo(e,!0)}function vo(e,t){return de(e)?e:new yl(e,t)}class yl{constructor(t,n){this.__v_isShallow=n,this.dep=void 0,this.__v_isRef=!0,this._rawValue=n?t:J(t),this._value=n?t:jt(t)}get value(){return Nr(this),this._value}set value(t){const n=this.__v_isShallow||St(t)||dt(t);t=n?t:J(t),ze(t,this._rawValue)&&(this._rawValue,this._rawValue=t,this._value=n?t:jt(t),Mt(this,4))}}function wo(e){return de(e)?e.value:e}const _l={get:(e,t,n)=>wo(Reflect.get(e,t,n)),set:(e,t,n,r)=>{const s=e[t];return de(s)&&!de(n)?(s.value=n,!0):Reflect.set(e,t,n,r)}};function Eo(e){return vt(e)?e:new Proxy(e,_l)}class bl{constructor(t){this.dep=void 0,this.__v_isRef=!0;const{get:n,set:r}=t(()=>Nr(this),()=>Mt(this));this._get=n,this._set=r}get value(){return this._get()}set value(t){this._set(t)}}function vl(e){return new bl(e)}class wl{constructor(t,n,r){this._object=t,this._key=n,this._defaultValue=r,this.__v_isRef=!0}get value(){const t=this._object[this._key];return t===void 0?this._defaultValue:t}set value(t){this._object[this._key]=t}get dep(){return zi(J(this._object),this._key)}}class El{constructor(t){this._getter=t,this.__v_isRef=!0,this.__v_isReadonly=!0}get value(){return this._getter()}}function Cl(e,t,n){return de(e)?e:K(e)?new El(e):Z(e)&&arguments.length>1?Sl(e,t,n):oe(e)}function Sl(e,t,n){const r=e[t];return de(r)?r:new wl(e,t,n)}/**
+* @vue/runtime-core v3.4.33
+* (c) 2018-present Yuxi (Evan) You and Vue contributors
+* @license MIT
+**/function Ye(e,t,n,r){try{return r?e(...r):e()}catch(s){Wt(s,t,n)}}function Ae(e,t,n,r){if(K(e)){const s=Ye(e,t,n,r);return s&&Js(s)&&s.catch(o=>{Wt(o,t,n)}),s}if(B(e)){const s=[];for(let o=0;o<e.length;o++)s.push(Ae(e[o],t,n,r));return s}}function Wt(e,t,n,r=!0){const s=t?t.vnode:null;if(t){let o=t.parent;const i=t.proxy,l=`https://vuejs.org/error-reference/#runtime-${n}`;for(;o;){const u=o.ec;if(u){for(let f=0;f<u.length;f++)if(u[f](e,i,l)===!1)return}o=o.parent}const c=t.appContext.config.errorHandler;if(c){et(),Ye(c,null,10,[e,i,l]),tt();return}}xl(e,n,s,r)}function xl(e,t,n,r=!0){console.error(e)}let Vt=!1,dr=!1;const pe=[];let Ne=0;const wt=[];let Ke=null,it=0;const Co=Promise.resolve();let $r=null;function Mn(e){const t=$r||Co;return e?t.then(this?e.bind(this):e):t}function Tl(e){let t=Ne+1,n=pe.length;for(;t<n;){const r=t+n>>>1,s=pe[r],o=Dt(s);o<e||o===e&&s.pre?t=r+1:n=r}return t}function In(e){(!pe.length||!pe.includes(e,Vt&&e.allowRecurse?Ne+1:Ne))&&(e.id==null?pe.push(e):pe.splice(Tl(e.id),0,e),So())}function So(){!Vt&&!dr&&(dr=!0,$r=Co.then(xo))}function Al(e){const t=pe.indexOf(e);t>Ne&&pe.splice(t,1)}function Rl(e){B(e)?wt.push(...e):(!Ke||!Ke.includes(e,e.allowRecurse?it+1:it))&&wt.push(e),So()}function os(e,t,n=Vt?Ne+1:0){for(;n<pe.length;n++){const r=pe[n];if(r&&r.pre){if(e&&r.id!==e.uid)continue;pe.splice(n,1),n--,r()}}}function _n(e){if(wt.length){const t=[...new Set(wt)].sort((n,r)=>Dt(n)-Dt(r));if(wt.length=0,Ke){Ke.push(...t);return}for(Ke=t,it=0;it<Ke.length;it++){const n=Ke[it];n.active!==!1&&n()}Ke=null,it=0}}const Dt=e=>e.id==null?1/0:e.id,Ol=(e,t)=>{const n=Dt(e)-Dt(t);if(n===0){if(e.pre&&!t.pre)return-1;if(t.pre&&!e.pre)return 1}return n};function xo(e){dr=!1,Vt=!0,pe.sort(Ol);try{for(Ne=0;Ne<pe.length;Ne++){const t=pe[Ne];t&&t.active!==!1&&Ye(t,t.i,t.i?15:14)}}finally{Ne=0,pe.length=0,_n(),Vt=!1,$r=null,(pe.length||wt.length)&&xo()}}let ue=null,Pn=null;function bn(e){const t=ue;return ue=e,Pn=e&&e.type.__scopeId||null,t}function cu(e){Pn=e}function au(){Pn=null}function Ll(e,t=ue,n){if(!t||e._n)return e;const r=(...s)=>{r._d&&ws(-1);const o=bn(t);let i;try{i=e(...s)}finally{bn(o),r._d&&ws(1)}return i};return r._n=!0,r._c=!0,r._d=!0,r}function uu(e,t){if(ue===null)return e;const n=Vn(ue),r=e.dirs||(e.dirs=[]);for(let s=0;s<t.length;s++){let[o,i,l,c=ne]=t[s];o&&(K(o)&&(o={mounted:o,updated:o}),o.deep&&Ge(i),r.push({dir:o,instance:n,value:i,oldValue:void 0,arg:l,modifiers:c}))}return e}function Pe(e,t,n,r){const s=e.dirs,o=t&&t.dirs;for(let i=0;i<s.length;i++){const l=s[i];o&&(l.oldValue=o[i].value);let c=l.dir[r];c&&(et(),Ae(c,n,8,[e.el,l,e,t]),tt())}}const We=Symbol("_leaveCb"),nn=Symbol("_enterCb");function Ml(){const e={isMounted:!1,isLeaving:!1,isUnmounting:!1,leavingVNodes:new Map};return Tt(()=>{e.isMounted=!0}),Mo(()=>{e.isUnmounting=!0}),e}const Ce=[Function,Array],To={mode:String,appear:Boolean,persisted:Boolean,onBeforeEnter:Ce,onEnter:Ce,onAfterEnter:Ce,onEnterCancelled:Ce,onBeforeLeave:Ce,onLeave:Ce,onAfterLeave:Ce,onLeaveCancelled:Ce,onBeforeAppear:Ce,onAppear:Ce,onAfterAppear:Ce,onAppearCancelled:Ce},Ao=e=>{const t=e.subTree;return t.component?Ao(t.component):t},Il={name:"BaseTransition",props:To,setup(e,{slots:t}){const n=jn(),r=Ml();return()=>{const s=t.default&&Oo(t.default(),!0);if(!s||!s.length)return;let o=s[0];if(s.length>1){for(const m of s)if(m.type!==me){o=m;break}}const i=J(e),{mode:l}=i;if(r.isLeaving)return Kn(o);const c=is(o);if(!c)return Kn(o);let u=hr(c,i,r,n,m=>u=m);vn(c,u);const f=n.subTree,h=f&&is(f);if(h&&h.type!==me&&!lt(c,h)&&Ao(n).type!==me){const m=hr(h,i,r,n);if(vn(h,m),l==="out-in"&&c.type!==me)return r.isLeaving=!0,m.afterLeave=()=>{r.isLeaving=!1,n.update.active!==!1&&(n.effect.dirty=!0,n.update())},Kn(o);l==="in-out"&&c.type!==me&&(m.delayLeave=(v,S,O)=>{const k=Ro(r,h);k[String(h.key)]=h,v[We]=()=>{S(),v[We]=void 0,delete u.delayedLeave},u.delayedLeave=O})}return o}}},Pl=Il;function Ro(e,t){const{leavingVNodes:n}=e;let r=n.get(t.type);return r||(r=Object.create(null),n.set(t.type,r)),r}function hr(e,t,n,r,s){const{appear:o,mode:i,persisted:l=!1,onBeforeEnter:c,onEnter:u,onAfterEnter:f,onEnterCancelled:h,onBeforeLeave:m,onLeave:v,onAfterLeave:S,onLeaveCancelled:O,onBeforeAppear:k,onAppear:W,onAfterAppear:D,onAppearCancelled:p}=t,y=String(e.key),I=Ro(n,e),T=(M,_)=>{M&&Ae(M,r,9,_)},F=(M,_)=>{const N=_[1];T(M,_),B(M)?M.every(x=>x.length<=1)&&N():M.length<=1&&N()},$={mode:i,persisted:l,beforeEnter(M){let _=c;if(!n.isMounted)if(o)_=k||c;else return;M[We]&&M[We](!0);const N=I[y];N&&lt(e,N)&&N.el[We]&&N.el[We](),T(_,[M])},enter(M){let _=u,N=f,x=h;if(!n.isMounted)if(o)_=W||u,N=D||f,x=p||h;else return;let G=!1;const ee=M[nn]=re=>{G||(G=!0,re?T(x,[M]):T(N,[M]),$.delayedLeave&&$.delayedLeave(),M[nn]=void 0)};_?F(_,[M,ee]):ee()},leave(M,_){const N=String(e.key);if(M[nn]&&M[nn](!0),n.isUnmounting)return _();T(m,[M]);let x=!1;const G=M[We]=ee=>{x||(x=!0,_(),ee?T(O,[M]):T(S,[M]),M[We]=void 0,I[N]===e&&delete I[N])};I[N]=e,v?F(v,[M,G]):G()},clone(M){const _=hr(M,t,n,r,s);return s&&s(_),_}};return $}function Kn(e){if(qt(e))return e=Je(e),e.children=null,e}function is(e){if(!qt(e))return e;const{shapeFlag:t,children:n}=e;if(n){if(t&16)return n[0];if(t&32&&K(n.default))return n.default()}}function vn(e,t){e.shapeFlag&6&&e.component?vn(e.component.subTree,t):e.shapeFlag&128?(e.ssContent.transition=t.clone(e.ssContent),e.ssFallback.transition=t.clone(e.ssFallback)):e.transition=t}function Oo(e,t=!1,n){let r=[],s=0;for(let o=0;o<e.length;o++){let i=e[o];const l=n==null?i.key:String(n)+String(i.key!=null?i.key:o);i.type===_e?(i.patchFlag&128&&s++,r=r.concat(Oo(i.children,t,l))):(t||i.type!==me)&&r.push(l!=null?Je(i,{key:l}):i)}if(s>1)for(let o=0;o<r.length;o++)r[o].patchFlag=-2;return r}/*! #__NO_SIDE_EFFECTS__ */function Hr(e,t){return K(e)?fe({name:e.name},t,{setup:e}):e}const Et=e=>!!e.type.__asyncLoader;/*! #__NO_SIDE_EFFECTS__ */function fu(e){K(e)&&(e={loader:e});const{loader:t,loadingComponent:n,errorComponent:r,delay:s=200,timeout:o,suspensible:i=!0,onError:l}=e;let c=null,u,f=0;const h=()=>(f++,c=null,m()),m=()=>{let v;return c||(v=c=t().catch(S=>{if(S=S instanceof Error?S:new Error(String(S)),l)return new Promise((O,k)=>{l(S,()=>O(h()),()=>k(S),f+1)});throw S}).then(S=>v!==c&&c?c:(S&&(S.__esModule||S[Symbol.toStringTag]==="Module")&&(S=S.default),u=S,S)))};return Hr({name:"AsyncComponentWrapper",__asyncLoader:m,get __asyncResolved(){return u},setup(){const v=ae;if(u)return()=>Wn(u,v);const S=D=>{c=null,Wt(D,v,13,!r)};if(i&&v.suspense||Xt)return m().then(D=>()=>Wn(D,v)).catch(D=>(S(D),()=>r?le(r,{error:D}):null));const O=oe(!1),k=oe(),W=oe(!!s);return s&&setTimeout(()=>{W.value=!1},s),o!=null&&setTimeout(()=>{if(!O.value&&!k.value){const D=new Error(`Async component timed out after ${o}ms.`);S(D),k.value=D}},o),m().then(()=>{O.value=!0,v.parent&&qt(v.parent.vnode)&&(v.parent.effect.dirty=!0,In(v.parent.update))}).catch(D=>{S(D),k.value=D}),()=>{if(O.value&&u)return Wn(u,v);if(k.value&&r)return le(r,{error:k.value});if(n&&!W.value)return le(n)}}})}function Wn(e,t){const{ref:n,props:r,children:s,ce:o}=t.vnode,i=le(e,r,s);return i.ref=n,i.ce=o,delete t.vnode.ce,i}const qt=e=>e.type.__isKeepAlive;function Nl(e,t){Lo(e,"a",t)}function Fl(e,t){Lo(e,"da",t)}function Lo(e,t,n=ae){const r=e.__wdc||(e.__wdc=()=>{let s=n;for(;s;){if(s.isDeactivated)return;s=s.parent}return e()});if(Nn(t,r,n),n){let s=n.parent;for(;s&&s.parent;)qt(s.parent.vnode)&&$l(r,t,n,s),s=s.parent}}function $l(e,t,n,r){const s=Nn(t,e,r,!0);Fn(()=>{Cr(r[t],s)},n)}function Nn(e,t,n=ae,r=!1){if(n){const s=n[e]||(n[e]=[]),o=t.__weh||(t.__weh=(...i)=>{et();const l=Gt(n),c=Ae(t,n,e,i);return l(),tt(),c});return r?s.unshift(o):s.push(o),o}}const De=e=>(t,n=ae)=>{(!Xt||e==="sp")&&Nn(e,(...r)=>t(...r),n)},Hl=De("bm"),Tt=De("m"),jl=De("bu"),Vl=De("u"),Mo=De("bum"),Fn=De("um"),Dl=De("sp"),Ul=De("rtg"),Bl=De("rtc");function kl(e,t=ae){Nn("ec",e,t)}const Io="components";function du(e,t){return No(Io,e,!0,t)||e}const Po=Symbol.for("v-ndc");function hu(e){return ie(e)?No(Io,e,!1)||e:e||Po}function No(e,t,n=!0,r=!1){const s=ue||ae;if(s){const o=s.type;{const l=Fc(o,!1);if(l&&(l===t||l===Oe(t)||l===An(Oe(t))))return o}const i=ls(s[e]||o[e],t)||ls(s.appContext[e],t);return!i&&r?o:i}}function ls(e,t){return e&&(e[t]||e[Oe(t)]||e[An(Oe(t))])}function pu(e,t,n,r){let s;const o=n;if(B(e)||ie(e)){s=new Array(e.length);for(let i=0,l=e.length;i<l;i++)s[i]=t(e[i],i,void 0,o)}else if(typeof e=="number"){s=new Array(e);for(let i=0;i<e;i++)s[i]=t(i+1,i,void 0,o)}else if(Z(e))if(e[Symbol.iterator])s=Array.from(e,(i,l)=>t(i,l,void 0,o));else{const i=Object.keys(e);s=new Array(i.length);for(let l=0,c=i.length;l<c;l++){const u=i[l];s[l]=t(e[u],u,l,o)}}else s=[];return s}function gu(e,t,n={},r,s){if(ue.isCE||ue.parent&&Et(ue.parent)&&ue.parent.isCE)return t!=="default"&&(n.name=t),le("slot",n,r&&r());let o=e[t];o&&o._c&&(o._d=!1),ti();const i=o&&Fo(o(n)),l=ri(_e,{key:(n.key||i&&i.key||`_${t}`)+(!i&&r?"_fb":"")},i||(r?r():[]),i&&e._===1?64:-2);return!s&&l.scopeId&&(l.slotScopeIds=[l.scopeId+"-s"]),o&&o._c&&(o._d=!0),l}function Fo(e){return e.some(t=>Cn(t)?!(t.type===me||t.type===_e&&!Fo(t.children)):!0)?e:null}function mu(e,t){const n={};for(const r in e)n[/[A-Z]/.test(r)?`on:${r}`:fn(r)]=e[r];return n}const pr=e=>e?li(e)?Vn(e):pr(e.parent):null,It=fe(Object.create(null),{$:e=>e,$el:e=>e.vnode.el,$data:e=>e.data,$props:e=>e.props,$attrs:e=>e.attrs,$slots:e=>e.slots,$refs:e=>e.refs,$parent:e=>pr(e.parent),$root:e=>pr(e.root),$emit:e=>e.emit,$options:e=>jr(e),$forceUpdate:e=>e.f||(e.f=()=>{e.effect.dirty=!0,In(e.update)}),$nextTick:e=>e.n||(e.n=Mn.bind(e.proxy)),$watch:e=>yc.bind(e)}),qn=(e,t)=>e!==ne&&!e.__isScriptSetup&&z(e,t),Kl={get({_:e},t){if(t==="__v_skip")return!0;const{ctx:n,setupState:r,data:s,props:o,accessCache:i,type:l,appContext:c}=e;let u;if(t[0]!=="$"){const v=i[t];if(v!==void 0)switch(v){case 1:return r[t];case 2:return s[t];case 4:return n[t];case 3:return o[t]}else{if(qn(r,t))return i[t]=1,r[t];if(s!==ne&&z(s,t))return i[t]=2,s[t];if((u=e.propsOptions[0])&&z(u,t))return i[t]=3,o[t];if(n!==ne&&z(n,t))return i[t]=4,n[t];gr&&(i[t]=0)}}const f=It[t];let h,m;if(f)return t==="$attrs"&&be(e.attrs,"get",""),f(e);if((h=l.__cssModules)&&(h=h[t]))return h;if(n!==ne&&z(n,t))return i[t]=4,n[t];if(m=c.config.globalProperties,z(m,t))return m[t]},set({_:e},t,n){const{data:r,setupState:s,ctx:o}=e;return qn(s,t)?(s[t]=n,!0):r!==ne&&z(r,t)?(r[t]=n,!0):z(e.props,t)||t[0]==="$"&&t.slice(1)in e?!1:(o[t]=n,!0)},has({_:{data:e,setupState:t,accessCache:n,ctx:r,appContext:s,propsOptions:o}},i){let l;return!!n[i]||e!==ne&&z(e,i)||qn(t,i)||(l=o[0])&&z(l,i)||z(r,i)||z(It,i)||z(s.config.globalProperties,i)},defineProperty(e,t,n){return n.get!=null?e._.accessCache[t]=0:z(n,"value")&&this.set(e,t,n.value,null),Reflect.defineProperty(e,t,n)}};function yu(){return Wl().slots}function Wl(){const e=jn();return e.setupContext||(e.setupContext=ai(e))}function cs(e){return B(e)?e.reduce((t,n)=>(t[n]=null,t),{}):e}let gr=!0;function ql(e){const t=jr(e),n=e.proxy,r=e.ctx;gr=!1,t.beforeCreate&&as(t.beforeCreate,e,"bc");const{data:s,computed:o,methods:i,watch:l,provide:c,inject:u,created:f,beforeMount:h,mounted:m,beforeUpdate:v,updated:S,activated:O,deactivated:k,beforeDestroy:W,beforeUnmount:D,destroyed:p,unmounted:y,render:I,renderTracked:T,renderTriggered:F,errorCaptured:$,serverPrefetch:M,expose:_,inheritAttrs:N,components:x,directives:G,filters:ee}=t;if(u&&Gl(u,r,null),i)for(const Y in i){const j=i[Y];K(j)&&(r[Y]=j.bind(n))}if(s){const Y=s.call(n,n);Z(Y)&&(e.data=On(Y))}if(gr=!0,o)for(const Y in o){const j=o[Y],He=K(j)?j.bind(n,n):K(j.get)?j.get.bind(n,n):Te,Yt=!K(j)&&K(j.set)?j.set.bind(n):Te,nt=se({get:He,set:Yt});Object.defineProperty(r,Y,{enumerable:!0,configurable:!0,get:()=>nt.value,set:Me=>nt.value=Me})}if(l)for(const Y in l)$o(l[Y],r,n,Y);if(c){const Y=K(c)?c.call(n):c;Reflect.ownKeys(Y).forEach(j=>{Zl(j,Y[j])})}f&&as(f,e,"c");function U(Y,j){B(j)?j.forEach(He=>Y(He.bind(n))):j&&Y(j.bind(n))}if(U(Hl,h),U(Tt,m),U(jl,v),U(Vl,S),U(Nl,O),U(Fl,k),U(kl,$),U(Bl,T),U(Ul,F),U(Mo,D),U(Fn,y),U(Dl,M),B(_))if(_.length){const Y=e.exposed||(e.exposed={});_.forEach(j=>{Object.defineProperty(Y,j,{get:()=>n[j],set:He=>n[j]=He})})}else e.exposed||(e.exposed={});I&&e.render===Te&&(e.render=I),N!=null&&(e.inheritAttrs=N),x&&(e.components=x),G&&(e.directives=G)}function Gl(e,t,n=Te){B(e)&&(e=mr(e));for(const r in e){const s=e[r];let o;Z(s)?"default"in s?o=Ct(s.from||r,s.default,!0):o=Ct(s.from||r):o=Ct(s),de(o)?Object.defineProperty(t,r,{enumerable:!0,configurable:!0,get:()=>o.value,set:i=>o.value=i}):t[r]=o}}function as(e,t,n){Ae(B(e)?e.map(r=>r.bind(t.proxy)):e.bind(t.proxy),t,n)}function $o(e,t,n,r){const s=r.includes(".")?Qo(n,r):()=>n[r];if(ie(e)){const o=t[e];K(o)&&Fe(s,o)}else if(K(e))Fe(s,e.bind(n));else if(Z(e))if(B(e))e.forEach(o=>$o(o,t,n,r));else{const o=K(e.handler)?e.handler.bind(n):t[e.handler];K(o)&&Fe(s,o,e)}}function jr(e){const t=e.type,{mixins:n,extends:r}=t,{mixins:s,optionsCache:o,config:{optionMergeStrategies:i}}=e.appContext,l=o.get(t);let c;return l?c=l:!s.length&&!n&&!r?c=t:(c={},s.length&&s.forEach(u=>wn(c,u,i,!0)),wn(c,t,i)),Z(t)&&o.set(t,c),c}function wn(e,t,n,r=!1){const{mixins:s,extends:o}=t;o&&wn(e,o,n,!0),s&&s.forEach(i=>wn(e,i,n,!0));for(const i in t)if(!(r&&i==="expose")){const l=Xl[i]||n&&n[i];e[i]=l?l(e[i],t[i]):t[i]}return e}const Xl={data:us,props:fs,emits:fs,methods:Lt,computed:Lt,beforeCreate:ge,created:ge,beforeMount:ge,mounted:ge,beforeUpdate:ge,updated:ge,beforeDestroy:ge,beforeUnmount:ge,destroyed:ge,unmounted:ge,activated:ge,deactivated:ge,errorCaptured:ge,serverPrefetch:ge,components:Lt,directives:Lt,watch:zl,provide:us,inject:Yl};function us(e,t){return t?e?function(){return fe(K(e)?e.call(this,this):e,K(t)?t.call(this,this):t)}:t:e}function Yl(e,t){return Lt(mr(e),mr(t))}function mr(e){if(B(e)){const t={};for(let n=0;n<e.length;n++)t[e[n]]=e[n];return t}return e}function ge(e,t){return e?[...new Set([].concat(e,t))]:t}function Lt(e,t){return e?fe(Object.create(null),e,t):t}function fs(e,t){return e?B(e)&&B(t)?[...new Set([...e,...t])]:fe(Object.create(null),cs(e),cs(t??{})):t}function zl(e,t){if(!e)return t;if(!t)return e;const n=fe(Object.create(null),e);for(const r in t)n[r]=ge(e[r],t[r]);return n}function Ho(){return{app:null,config:{isNativeTag:Pi,performance:!1,globalProperties:{},optionMergeStrategies:{},errorHandler:void 0,warnHandler:void 0,compilerOptions:{}},mixins:[],components:{},directives:{},provides:Object.create(null),optionsCache:new WeakMap,propsCache:new WeakMap,emitsCache:new WeakMap}}let Jl=0;function Ql(e,t){return function(r,s=null){K(r)||(r=fe({},r)),s!=null&&!Z(s)&&(s=null);const o=Ho(),i=new WeakSet;let l=!1;const c=o.app={_uid:Jl++,_component:r,_props:s,_container:null,_context:o,_instance:null,version:Hc,get config(){return o.config},set config(u){},use(u,...f){return i.has(u)||(u&&K(u.install)?(i.add(u),u.install(c,...f)):K(u)&&(i.add(u),u(c,...f))),c},mixin(u){return o.mixins.includes(u)||o.mixins.push(u),c},component(u,f){return f?(o.components[u]=f,c):o.components[u]},directive(u,f){return f?(o.directives[u]=f,c):o.directives[u]},mount(u,f,h){if(!l){const m=le(r,s);return m.appContext=o,h===!0?h="svg":h===!1&&(h=void 0),f&&t?t(m,u):e(m,u,h),l=!0,c._container=u,u.__vue_app__=c,Vn(m.component)}},unmount(){l&&(e(null,c._container),delete c._container.__vue_app__)},provide(u,f){return o.provides[u]=f,c},runWithContext(u){const f=Pt;Pt=c;try{return u()}finally{Pt=f}}};return c}}let Pt=null;function Zl(e,t){if(ae){let n=ae.provides;const r=ae.parent&&ae.parent.provides;r===n&&(n=ae.provides=Object.create(r)),n[e]=t}}function Ct(e,t,n=!1){const r=ae||ue;if(r||Pt){const s=r?r.parent==null?r.vnode.appContext&&r.vnode.appContext.provides:r.parent.provides:Pt._context.provides;if(s&&e in s)return s[e];if(arguments.length>1)return n&&K(t)?t.call(r&&r.proxy):t}}const jo={},Vo=()=>Object.create(jo),Do=e=>Object.getPrototypeOf(e)===jo;function ec(e,t,n,r=!1){const s={},o=Vo();e.propsDefaults=Object.create(null),Uo(e,t,s,o);for(const i in e.propsOptions[0])i in s||(s[i]=void 0);n?e.props=r?s:gl(s):e.type.props?e.props=s:e.props=o,e.attrs=o}function tc(e,t,n,r){const{props:s,attrs:o,vnode:{patchFlag:i}}=e,l=J(s),[c]=e.propsOptions;let u=!1;if((r||i>0)&&!(i&16)){if(i&8){const f=e.vnode.dynamicProps;for(let h=0;h<f.length;h++){let m=f[h];if(Hn(e.emitsOptions,m))continue;const v=t[m];if(c)if(z(o,m))v!==o[m]&&(o[m]=v,u=!0);else{const S=Oe(m);s[S]=yr(c,l,S,v,e,!1)}else v!==o[m]&&(o[m]=v,u=!0)}}}else{Uo(e,t,s,o)&&(u=!0);let f;for(const h in l)(!t||!z(t,h)&&((f=Ze(h))===h||!z(t,f)))&&(c?n&&(n[h]!==void 0||n[f]!==void 0)&&(s[h]=yr(c,l,h,void 0,e,!0)):delete s[h]);if(o!==l)for(const h in o)(!t||!z(t,h))&&(delete o[h],u=!0)}u&&Ve(e.attrs,"set","")}function Uo(e,t,n,r){const[s,o]=e.propsOptions;let i=!1,l;if(t)for(let c in t){if(bt(c))continue;const u=t[c];let f;s&&z(s,f=Oe(c))?!o||!o.includes(f)?n[f]=u:(l||(l={}))[f]=u:Hn(e.emitsOptions,c)||(!(c in r)||u!==r[c])&&(r[c]=u,i=!0)}if(o){const c=J(n),u=l||ne;for(let f=0;f<o.length;f++){const h=o[f];n[h]=yr(s,c,h,u[h],e,!z(u,h))}}return i}function yr(e,t,n,r,s,o){const i=e[n];if(i!=null){const l=z(i,"default");if(l&&r===void 0){const c=i.default;if(i.type!==Function&&!i.skipFactory&&K(c)){const{propsDefaults:u}=s;if(n in u)r=u[n];else{const f=Gt(s);r=u[n]=c.call(null,t),f()}}else r=c}i[0]&&(o&&!l?r=!1:i[1]&&(r===""||r===Ze(n))&&(r=!0))}return r}const nc=new WeakMap;function Bo(e,t,n=!1){const r=n?nc:t.propsCache,s=r.get(e);if(s)return s;const o=e.props,i={},l=[];let c=!1;if(!K(e)){const f=h=>{c=!0;const[m,v]=Bo(h,t,!0);fe(i,m),v&&l.push(...v)};!n&&t.mixins.length&&t.mixins.forEach(f),e.extends&&f(e.extends),e.mixins&&e.mixins.forEach(f)}if(!o&&!c)return Z(e)&&r.set(e,yt),yt;if(B(o))for(let f=0;f<o.length;f++){const h=Oe(o[f]);ds(h)&&(i[h]=ne)}else if(o)for(const f in o){const h=Oe(f);if(ds(h)){const m=o[f],v=i[h]=B(m)||K(m)?{type:m}:fe({},m);if(v){const S=gs(Boolean,v.type),O=gs(String,v.type);v[0]=S>-1,v[1]=O<0||S<O,(S>-1||z(v,"default"))&&l.push(h)}}}const u=[i,l];return Z(e)&&r.set(e,u),u}function ds(e){return e[0]!=="$"&&!bt(e)}function hs(e){return e===null?"null":typeof e=="function"?e.name||"":typeof e=="object"&&e.constructor&&e.constructor.name||""}function ps(e,t){return hs(e)===hs(t)}function gs(e,t){return B(t)?t.findIndex(n=>ps(n,e)):K(t)&&ps(t,e)?0:-1}const ko=e=>e[0]==="_"||e==="$stable",Vr=e=>B(e)?e.map(xe):[xe(e)],rc=(e,t,n)=>{if(t._n)return t;const r=Ll((...s)=>Vr(t(...s)),n);return r._c=!1,r},Ko=(e,t,n)=>{const r=e._ctx;for(const s in e){if(ko(s))continue;const o=e[s];if(K(o))t[s]=rc(s,o,r);else if(o!=null){const i=Vr(o);t[s]=()=>i}}},Wo=(e,t)=>{const n=Vr(t);e.slots.default=()=>n},qo=(e,t,n)=>{for(const r in t)(n||r!=="_")&&(e[r]=t[r])},sc=(e,t,n)=>{const r=e.slots=Vo();if(e.vnode.shapeFlag&32){const s=t._;s?(qo(r,t,n),n&&eo(r,"_",s,!0)):Ko(t,r)}else t&&Wo(e,t)},oc=(e,t,n)=>{const{vnode:r,slots:s}=e;let o=!0,i=ne;if(r.shapeFlag&32){const l=t._;l?n&&l===1?o=!1:qo(s,t,n):(o=!t.$stable,Ko(t,s)),i=t}else t&&(Wo(e,t),i={default:1});if(o)for(const l in s)!ko(l)&&i[l]==null&&delete s[l]};function En(e,t,n,r,s=!1){if(B(e)){e.forEach((m,v)=>En(m,t&&(B(t)?t[v]:t),n,r,s));return}if(Et(r)&&!s)return;const o=r.shapeFlag&4?Vn(r.component):r.el,i=s?null:o,{i:l,r:c}=e,u=t&&t.r,f=l.refs===ne?l.refs={}:l.refs,h=l.setupState;if(u!=null&&u!==c&&(ie(u)?(f[u]=null,z(h,u)&&(h[u]=null)):de(u)&&(u.value=null)),K(c))Ye(c,l,12,[i,f]);else{const m=ie(c),v=de(c);if(m||v){const S=()=>{if(e.f){const O=m?z(h,c)?h[c]:f[c]:c.value;s?B(O)&&Cr(O,o):B(O)?O.includes(o)||O.push(o):m?(f[c]=[o],z(h,c)&&(h[c]=f[c])):(c.value=[o],e.k&&(f[e.k]=c.value))}else m?(f[c]=i,z(h,c)&&(h[c]=i)):v&&(c.value=i,e.k&&(f[e.k]=i))};i?(S.id=-1,ye(S,n)):S()}}}const Go=Symbol("_vte"),ic=e=>e.__isTeleport,Nt=e=>e&&(e.disabled||e.disabled===""),ms=e=>typeof SVGElement<"u"&&e instanceof SVGElement,ys=e=>typeof MathMLElement=="function"&&e instanceof MathMLElement,_r=(e,t)=>{const n=e&&e.to;return ie(n)?t?t(n):null:n},lc={name:"Teleport",__isTeleport:!0,process(e,t,n,r,s,o,i,l,c,u){const{mc:f,pc:h,pbc:m,o:{insert:v,querySelector:S,createText:O,createComment:k}}=u,W=Nt(t.props);let{shapeFlag:D,children:p,dynamicChildren:y}=t;if(e==null){const I=t.el=O(""),T=t.anchor=O(""),F=t.target=_r(t.props,S),$=t.targetStart=O(""),M=t.targetAnchor=O("");v(I,n,r),v(T,n,r),$[Go]=M,F&&(v($,F),v(M,F),i==="svg"||ms(F)?i="svg":(i==="mathml"||ys(F))&&(i="mathml"));const _=(N,x)=>{D&16&&f(p,N,x,s,o,i,l,c)};W?_(n,T):F&&_(F,M)}else{t.el=e.el,t.targetStart=e.targetStart;const I=t.anchor=e.anchor,T=t.target=e.target,F=t.targetAnchor=e.targetAnchor,$=Nt(e.props),M=$?n:T,_=$?I:F;if(i==="svg"||ms(T)?i="svg":(i==="mathml"||ys(T))&&(i="mathml"),y?(m(e.dynamicChildren,y,M,s,o,i,l),Dr(e,t,!0)):c||h(e,t,M,_,s,o,i,l,!1),W)$?t.props&&e.props&&t.props.to!==e.props.to&&(t.props.to=e.props.to):rn(t,n,I,u,1);else if((t.props&&t.props.to)!==(e.props&&e.props.to)){const N=t.target=_r(t.props,S);N&&rn(t,N,null,u,0)}else $&&rn(t,T,F,u,1)}Xo(t)},remove(e,t,n,{um:r,o:{remove:s}},o){const{shapeFlag:i,children:l,anchor:c,targetStart:u,targetAnchor:f,target:h,props:m}=e;if(h&&(s(u),s(f)),o&&s(c),i&16){const v=o||!Nt(m);for(let S=0;S<l.length;S++){const O=l[S];r(O,t,n,v,!!O.dynamicChildren)}}},move:rn,hydrate:cc};function rn(e,t,n,{o:{insert:r},m:s},o=2){o===0&&r(e.targetAnchor,t,n);const{el:i,anchor:l,shapeFlag:c,children:u,props:f}=e,h=o===2;if(h&&r(i,t,n),(!h||Nt(f))&&c&16)for(let m=0;m<u.length;m++)s(u[m],t,n,2);h&&r(l,t,n)}function cc(e,t,n,r,s,o,{o:{nextSibling:i,parentNode:l,querySelector:c}},u){const f=t.target=_r(t.props,c);if(f){const h=f._lpa||f.firstChild;if(t.shapeFlag&16)if(Nt(t.props))t.anchor=u(i(e),t,l(e),n,r,s,o),t.targetAnchor=h;else{t.anchor=i(e);let m=h;for(;m;)if(m=i(m),m&&m.nodeType===8&&m.data==="teleport anchor"){t.targetAnchor=m,f._lpa=t.targetAnchor&&i(t.targetAnchor);break}u(h,t,f,n,r,s,o)}Xo(t)}return t.anchor&&i(t.anchor)}const _u=lc;function Xo(e){const t=e.ctx;if(t&&t.ut){let n=e.children[0].el;for(;n&&n!==e.targetAnchor;)n.nodeType===1&&n.setAttribute("data-v-owner",t.uid),n=n.nextSibling;t.ut()}}let _s=!1;const gt=()=>{_s||(console.error("Hydration completed but contains mismatches."),_s=!0)},ac=e=>e.namespaceURI.includes("svg")&&e.tagName!=="foreignObject",uc=e=>e.namespaceURI.includes("MathML"),sn=e=>{if(ac(e))return"svg";if(uc(e))return"mathml"},on=e=>e.nodeType===8;function fc(e){const{mt:t,p:n,o:{patchProp:r,createText:s,nextSibling:o,parentNode:i,remove:l,insert:c,createComment:u}}=e,f=(p,y)=>{if(!y.hasChildNodes()){n(null,p,y),_n(),y._vnode=p;return}h(y.firstChild,p,null,null,null),_n(),y._vnode=p},h=(p,y,I,T,F,$=!1)=>{$=$||!!y.dynamicChildren;const M=on(p)&&p.data==="[",_=()=>O(p,y,I,T,F,M),{type:N,ref:x,shapeFlag:G,patchFlag:ee}=y;let re=p.nodeType;y.el=p,ee===-2&&($=!1,y.dynamicChildren=null);let U=null;switch(N){case ut:re!==3?y.children===""?(c(y.el=s(""),i(p),p),U=p):U=_():(p.data!==y.children&&(gt(),p.data=y.children),U=o(p));break;case me:D(p)?(U=o(p),W(y.el=p.content.firstChild,p,I)):re!==8||M?U=_():U=o(p);break;case Ft:if(M&&(p=o(p),re=p.nodeType),re===1||re===3){U=p;const Y=!y.children.length;for(let j=0;j<y.staticCount;j++)Y&&(y.children+=U.nodeType===1?U.outerHTML:U.data),j===y.staticCount-1&&(y.anchor=U),U=o(U);return M?o(U):U}else _();break;case _e:M?U=S(p,y,I,T,F,$):U=_();break;default:if(G&1)(re!==1||y.type.toLowerCase()!==p.tagName.toLowerCase())&&!D(p)?U=_():U=m(p,y,I,T,F,$);else if(G&6){y.slotScopeIds=F;const Y=i(p);if(M?U=k(p):on(p)&&p.data==="teleport start"?U=k(p,p.data,"teleport end"):U=o(p),t(y,Y,null,I,T,sn(Y),$),Et(y)){let j;M?(j=le(_e),j.anchor=U?U.previousSibling:Y.lastChild):j=p.nodeType===3?ii(""):le("div"),j.el=p,y.component.subTree=j}}else G&64?re!==8?U=_():U=y.type.hydrate(p,y,I,T,F,$,e,v):G&128&&(U=y.type.hydrate(p,y,I,T,sn(i(p)),F,$,e,h))}return x!=null&&En(x,null,T,y),U},m=(p,y,I,T,F,$)=>{$=$||!!y.dynamicChildren;const{type:M,props:_,patchFlag:N,shapeFlag:x,dirs:G,transition:ee}=y,re=M==="input"||M==="option";if(re||N!==-1){G&&Pe(y,null,I,"created");let U=!1;if(D(p)){U=zo(T,ee)&&I&&I.vnode.props&&I.vnode.props.appear;const j=p.content.firstChild;U&&ee.beforeEnter(j),W(j,p,I),y.el=p=j}if(x&16&&!(_&&(_.innerHTML||_.textContent))){let j=v(p.firstChild,y,p,I,T,F,$);for(;j;){gt();const He=j;j=j.nextSibling,l(He)}}else x&8&&p.textContent!==y.children&&(gt(),p.textContent=y.children);if(_){if(re||!$||N&48)for(const j in _)(re&&(j.endsWith("value")||j==="indeterminate")||Kt(j)&&!bt(j)||j[0]===".")&&r(p,j,null,_[j],void 0,I);else if(_.onClick)r(p,"onClick",null,_.onClick,void 0,I);else if(N&4&&vt(_.style))for(const j in _.style)_.style[j]}let Y;(Y=_&&_.onVnodeBeforeMount)&&Se(Y,I,y),G&&Pe(y,null,I,"beforeMount"),((Y=_&&_.onVnodeMounted)||G||U)&&ei(()=>{Y&&Se(Y,I,y),U&&ee.enter(p),G&&Pe(y,null,I,"mounted")},T)}return p.nextSibling},v=(p,y,I,T,F,$,M)=>{M=M||!!y.dynamicChildren;const _=y.children,N=_.length;for(let x=0;x<N;x++){const G=M?_[x]:_[x]=xe(_[x]),ee=G.type===ut;if(p){if(ee&&!M){let re=_[x+1];re&&(re=xe(re)).type===ut&&(c(s(p.data.slice(G.children.length)),I,o(p)),p.data=G.children)}p=h(p,G,T,F,$,M)}else ee&&!G.children?c(G.el=s(""),I):(gt(),n(null,G,I,null,T,F,sn(I),$))}return p},S=(p,y,I,T,F,$)=>{const{slotScopeIds:M}=y;M&&(F=F?F.concat(M):M);const _=i(p),N=v(o(p),y,_,I,T,F,$);return N&&on(N)&&N.data==="]"?o(y.anchor=N):(gt(),c(y.anchor=u("]"),_,N),N)},O=(p,y,I,T,F,$)=>{if(gt(),y.el=null,$){const N=k(p);for(;;){const x=o(p);if(x&&x!==N)l(x);else break}}const M=o(p),_=i(p);return l(p),n(null,y,_,M,I,T,sn(_),F),M},k=(p,y="[",I="]")=>{let T=0;for(;p;)if(p=o(p),p&&on(p)&&(p.data===y&&T++,p.data===I)){if(T===0)return o(p);T--}return p},W=(p,y,I)=>{const T=y.parentNode;T&&T.replaceChild(p,y);let F=I;for(;F;)F.vnode.el===y&&(F.vnode.el=F.subTree.el=p),F=F.parent},D=p=>p.nodeType===1&&p.tagName.toLowerCase()==="template";return[f,h]}const ye=ei;function dc(e){return Yo(e)}function hc(e){return Yo(e,fc)}function Yo(e,t){const n=to();n.__VUE__=!0;const{insert:r,remove:s,patchProp:o,createElement:i,createText:l,createComment:c,setText:u,setElementText:f,parentNode:h,nextSibling:m,setScopeId:v=Te,insertStaticContent:S}=e,O=(a,d,g,E=null,b=null,C=null,L=void 0,A=null,R=!!d.dynamicChildren)=>{if(a===d)return;a&&!lt(a,d)&&(E=zt(a),Me(a,b,C,!0),a=null),d.patchFlag===-2&&(R=!1,d.dynamicChildren=null);const{type:w,ref:P,shapeFlag:V}=d;switch(w){case ut:k(a,d,g,E);break;case me:W(a,d,g,E);break;case Ft:a==null&&D(d,g,E,L);break;case _e:x(a,d,g,E,b,C,L,A,R);break;default:V&1?I(a,d,g,E,b,C,L,A,R):V&6?G(a,d,g,E,b,C,L,A,R):(V&64||V&128)&&w.process(a,d,g,E,b,C,L,A,R,ht)}P!=null&&b&&En(P,a&&a.ref,C,d||a,!d)},k=(a,d,g,E)=>{if(a==null)r(d.el=l(d.children),g,E);else{const b=d.el=a.el;d.children!==a.children&&u(b,d.children)}},W=(a,d,g,E)=>{a==null?r(d.el=c(d.children||""),g,E):d.el=a.el},D=(a,d,g,E)=>{[a.el,a.anchor]=S(a.children,d,g,E,a.el,a.anchor)},p=({el:a,anchor:d},g,E)=>{let b;for(;a&&a!==d;)b=m(a),r(a,g,E),a=b;r(d,g,E)},y=({el:a,anchor:d})=>{let g;for(;a&&a!==d;)g=m(a),s(a),a=g;s(d)},I=(a,d,g,E,b,C,L,A,R)=>{d.type==="svg"?L="svg":d.type==="math"&&(L="mathml"),a==null?T(d,g,E,b,C,L,A,R):M(a,d,b,C,L,A,R)},T=(a,d,g,E,b,C,L,A)=>{let R,w;const{props:P,shapeFlag:V,transition:H,dirs:q}=a;if(R=a.el=i(a.type,C,P&&P.is,P),V&8?f(R,a.children):V&16&&$(a.children,R,null,E,b,Gn(a,C),L,A),q&&Pe(a,null,E,"created"),F(R,a,a.scopeId,L,E),P){for(const te in P)te!=="value"&&!bt(te)&&o(R,te,null,P[te],C,E);"value"in P&&o(R,"value",null,P.value,C),(w=P.onVnodeBeforeMount)&&Se(w,E,a)}q&&Pe(a,null,E,"beforeMount");const X=zo(b,H);X&&H.beforeEnter(R),r(R,d,g),((w=P&&P.onVnodeMounted)||X||q)&&ye(()=>{w&&Se(w,E,a),X&&H.enter(R),q&&Pe(a,null,E,"mounted")},b)},F=(a,d,g,E,b)=>{if(g&&v(a,g),E)for(let C=0;C<E.length;C++)v(a,E[C]);if(b){let C=b.subTree;if(d===C){const L=b.vnode;F(a,L,L.scopeId,L.slotScopeIds,b.parent)}}},$=(a,d,g,E,b,C,L,A,R=0)=>{for(let w=R;w<a.length;w++){const P=a[w]=A?qe(a[w]):xe(a[w]);O(null,P,d,g,E,b,C,L,A)}},M=(a,d,g,E,b,C,L)=>{const A=d.el=a.el;let{patchFlag:R,dynamicChildren:w,dirs:P}=d;R|=a.patchFlag&16;const V=a.props||ne,H=d.props||ne;let q;if(g&&rt(g,!1),(q=H.onVnodeBeforeUpdate)&&Se(q,g,d,a),P&&Pe(d,a,g,"beforeUpdate"),g&&rt(g,!0),(V.innerHTML&&H.innerHTML==null||V.textContent&&H.textContent==null)&&f(A,""),w?_(a.dynamicChildren,w,A,g,E,Gn(d,b),C):L||j(a,d,A,null,g,E,Gn(d,b),C,!1),R>0){if(R&16)N(A,V,H,g,b);else if(R&2&&V.class!==H.class&&o(A,"class",null,H.class,b),R&4&&o(A,"style",V.style,H.style,b),R&8){const X=d.dynamicProps;for(let te=0;te<X.length;te++){const Q=X[te],ce=V[Q],Re=H[Q];(Re!==ce||Q==="value")&&o(A,Q,ce,Re,b,g)}}R&1&&a.children!==d.children&&f(A,d.children)}else!L&&w==null&&N(A,V,H,g,b);((q=H.onVnodeUpdated)||P)&&ye(()=>{q&&Se(q,g,d,a),P&&Pe(d,a,g,"updated")},E)},_=(a,d,g,E,b,C,L)=>{for(let A=0;A<d.length;A++){const R=a[A],w=d[A],P=R.el&&(R.type===_e||!lt(R,w)||R.shapeFlag&70)?h(R.el):g;O(R,w,P,null,E,b,C,L,!0)}},N=(a,d,g,E,b)=>{if(d!==g){if(d!==ne)for(const C in d)!bt(C)&&!(C in g)&&o(a,C,d[C],null,b,E);for(const C in g){if(bt(C))continue;const L=g[C],A=d[C];L!==A&&C!=="value"&&o(a,C,A,L,b,E)}"value"in g&&o(a,"value",d.value,g.value,b)}},x=(a,d,g,E,b,C,L,A,R)=>{const w=d.el=a?a.el:l(""),P=d.anchor=a?a.anchor:l("");let{patchFlag:V,dynamicChildren:H,slotScopeIds:q}=d;q&&(A=A?A.concat(q):q),a==null?(r(w,g,E),r(P,g,E),$(d.children||[],g,P,b,C,L,A,R)):V>0&&V&64&&H&&a.dynamicChildren?(_(a.dynamicChildren,H,g,b,C,L,A),(d.key!=null||b&&d===b.subTree)&&Dr(a,d,!0)):j(a,d,g,P,b,C,L,A,R)},G=(a,d,g,E,b,C,L,A,R)=>{d.slotScopeIds=A,a==null?d.shapeFlag&512?b.ctx.activate(d,g,E,L,R):ee(d,g,E,b,C,L,R):re(a,d,R)},ee=(a,d,g,E,b,C,L)=>{const A=a.component=Mc(a,E,b);if(qt(a)&&(A.ctx.renderer=ht),Ic(A,!1,L),A.asyncDep){if(b&&b.registerDep(A,U,L),!a.el){const R=A.subTree=le(me);W(null,R,d,g)}}else U(A,a,d,g,b,C,L)},re=(a,d,g)=>{const E=d.component=a.component;if(Ec(a,d,g))if(E.asyncDep&&!E.asyncResolved){Y(E,d,g);return}else E.next=d,Al(E.update),E.effect.dirty=!0,E.update();else d.el=a.el,E.vnode=d},U=(a,d,g,E,b,C,L)=>{const A=()=>{if(a.isMounted){let{next:P,bu:V,u:H,parent:q,vnode:X}=a;{const pt=Jo(a);if(pt){P&&(P.el=X.el,Y(a,P,L)),pt.asyncDep.then(()=>{a.isUnmounted||A()});return}}let te=P,Q;rt(a,!1),P?(P.el=X.el,Y(a,P,L)):P=X,V&&dn(V),(Q=P.props&&P.props.onVnodeBeforeUpdate)&&Se(Q,q,P,X),rt(a,!0);const ce=Xn(a),Re=a.subTree;a.subTree=ce,O(Re,ce,h(Re.el),zt(Re),a,b,C),P.el=ce.el,te===null&&Cc(a,ce.el),H&&ye(H,b),(Q=P.props&&P.props.onVnodeUpdated)&&ye(()=>Se(Q,q,P,X),b)}else{let P;const{el:V,props:H}=d,{bm:q,m:X,parent:te}=a,Q=Et(d);if(rt(a,!1),q&&dn(q),!Q&&(P=H&&H.onVnodeBeforeMount)&&Se(P,te,d),rt(a,!0),V&&Bn){const ce=()=>{a.subTree=Xn(a),Bn(V,a.subTree,a,b,null)};Q?d.type.__asyncLoader().then(()=>!a.isUnmounted&&ce()):ce()}else{const ce=a.subTree=Xn(a);O(null,ce,g,E,a,b,C),d.el=ce.el}if(X&&ye(X,b),!Q&&(P=H&&H.onVnodeMounted)){const ce=d;ye(()=>Se(P,te,ce),b)}(d.shapeFlag&256||te&&Et(te.vnode)&&te.vnode.shapeFlag&256)&&a.a&&ye(a.a,b),a.isMounted=!0,d=g=E=null}},R=a.effect=new Ar(A,Te,()=>In(w),a.scope),w=a.update=()=>{R.dirty&&R.run()};w.i=a,w.id=a.uid,rt(a,!0),w()},Y=(a,d,g)=>{d.component=a;const E=a.vnode.props;a.vnode=d,a.next=null,tc(a,d.props,E,g),oc(a,d.children,g),et(),os(a),tt()},j=(a,d,g,E,b,C,L,A,R=!1)=>{const w=a&&a.children,P=a?a.shapeFlag:0,V=d.children,{patchFlag:H,shapeFlag:q}=d;if(H>0){if(H&128){Yt(w,V,g,E,b,C,L,A,R);return}else if(H&256){He(w,V,g,E,b,C,L,A,R);return}}q&8?(P&16&&At(w,b,C),V!==w&&f(g,V)):P&16?q&16?Yt(w,V,g,E,b,C,L,A,R):At(w,b,C,!0):(P&8&&f(g,""),q&16&&$(V,g,E,b,C,L,A,R))},He=(a,d,g,E,b,C,L,A,R)=>{a=a||yt,d=d||yt;const w=a.length,P=d.length,V=Math.min(w,P);let H;for(H=0;H<V;H++){const q=d[H]=R?qe(d[H]):xe(d[H]);O(a[H],q,g,null,b,C,L,A,R)}w>P?At(a,b,C,!0,!1,V):$(d,g,E,b,C,L,A,R,V)},Yt=(a,d,g,E,b,C,L,A,R)=>{let w=0;const P=d.length;let V=a.length-1,H=P-1;for(;w<=V&&w<=H;){const q=a[w],X=d[w]=R?qe(d[w]):xe(d[w]);if(lt(q,X))O(q,X,g,null,b,C,L,A,R);else break;w++}for(;w<=V&&w<=H;){const q=a[V],X=d[H]=R?qe(d[H]):xe(d[H]);if(lt(q,X))O(q,X,g,null,b,C,L,A,R);else break;V--,H--}if(w>V){if(w<=H){const q=H+1,X=q<P?d[q].el:E;for(;w<=H;)O(null,d[w]=R?qe(d[w]):xe(d[w]),g,X,b,C,L,A,R),w++}}else if(w>H)for(;w<=V;)Me(a[w],b,C,!0),w++;else{const q=w,X=w,te=new Map;for(w=X;w<=H;w++){const ve=d[w]=R?qe(d[w]):xe(d[w]);ve.key!=null&&te.set(ve.key,w)}let Q,ce=0;const Re=H-X+1;let pt=!1,Xr=0;const Rt=new Array(Re);for(w=0;w<Re;w++)Rt[w]=0;for(w=q;w<=V;w++){const ve=a[w];if(ce>=Re){Me(ve,b,C,!0);continue}let Ie;if(ve.key!=null)Ie=te.get(ve.key);else for(Q=X;Q<=H;Q++)if(Rt[Q-X]===0&&lt(ve,d[Q])){Ie=Q;break}Ie===void 0?Me(ve,b,C,!0):(Rt[Ie-X]=w+1,Ie>=Xr?Xr=Ie:pt=!0,O(ve,d[Ie],g,null,b,C,L,A,R),ce++)}const Yr=pt?pc(Rt):yt;for(Q=Yr.length-1,w=Re-1;w>=0;w--){const ve=X+w,Ie=d[ve],zr=ve+1<P?d[ve+1].el:E;Rt[w]===0?O(null,Ie,g,zr,b,C,L,A,R):pt&&(Q<0||w!==Yr[Q]?nt(Ie,g,zr,2):Q--)}}},nt=(a,d,g,E,b=null)=>{const{el:C,type:L,transition:A,children:R,shapeFlag:w}=a;if(w&6){nt(a.component.subTree,d,g,E);return}if(w&128){a.suspense.move(d,g,E);return}if(w&64){L.move(a,d,g,ht);return}if(L===_e){r(C,d,g);for(let V=0;V<R.length;V++)nt(R[V],d,g,E);r(a.anchor,d,g);return}if(L===Ft){p(a,d,g);return}if(E!==2&&w&1&&A)if(E===0)A.beforeEnter(C),r(C,d,g),ye(()=>A.enter(C),b);else{const{leave:V,delayLeave:H,afterLeave:q}=A,X=()=>r(C,d,g),te=()=>{V(C,()=>{X(),q&&q()})};H?H(C,X,te):te()}else r(C,d,g)},Me=(a,d,g,E=!1,b=!1)=>{const{type:C,props:L,ref:A,children:R,dynamicChildren:w,shapeFlag:P,patchFlag:V,dirs:H,cacheIndex:q}=a;if(V===-2&&(b=!1),A!=null&&En(A,null,g,a,!0),q!=null&&(d.renderCache[q]=void 0),P&256){d.ctx.deactivate(a);return}const X=P&1&&H,te=!Et(a);let Q;if(te&&(Q=L&&L.onVnodeBeforeUnmount)&&Se(Q,d,a),P&6)Ii(a.component,g,E);else{if(P&128){a.suspense.unmount(g,E);return}X&&Pe(a,null,d,"beforeUnmount"),P&64?a.type.remove(a,d,g,ht,E):w&&!w.hasOnce&&(C!==_e||V>0&&V&64)?At(w,d,g,!1,!0):(C===_e&&V&384||!b&&P&16)&&At(R,d,g),E&&qr(a)}(te&&(Q=L&&L.onVnodeUnmounted)||X)&&ye(()=>{Q&&Se(Q,d,a),X&&Pe(a,null,d,"unmounted")},g)},qr=a=>{const{type:d,el:g,anchor:E,transition:b}=a;if(d===_e){Mi(g,E);return}if(d===Ft){y(a);return}const C=()=>{s(g),b&&!b.persisted&&b.afterLeave&&b.afterLeave()};if(a.shapeFlag&1&&b&&!b.persisted){const{leave:L,delayLeave:A}=b,R=()=>L(g,C);A?A(a.el,C,R):R()}else C()},Mi=(a,d)=>{let g;for(;a!==d;)g=m(a),s(a),a=g;s(d)},Ii=(a,d,g)=>{const{bum:E,scope:b,update:C,subTree:L,um:A,m:R,a:w}=a;bs(R),bs(w),E&&dn(E),b.stop(),C&&(C.active=!1,Me(L,a,d,g)),A&&ye(A,d),ye(()=>{a.isUnmounted=!0},d),d&&d.pendingBranch&&!d.isUnmounted&&a.asyncDep&&!a.asyncResolved&&a.suspenseId===d.pendingId&&(d.deps--,d.deps===0&&d.resolve())},At=(a,d,g,E=!1,b=!1,C=0)=>{for(let L=C;L<a.length;L++)Me(a[L],d,g,E,b)},zt=a=>{if(a.shapeFlag&6)return zt(a.component.subTree);if(a.shapeFlag&128)return a.suspense.next();const d=m(a.anchor||a.el),g=d&&d[Go];return g?m(g):d};let Dn=!1;const Gr=(a,d,g)=>{a==null?d._vnode&&Me(d._vnode,null,null,!0):O(d._vnode||null,a,d,null,null,null,g),Dn||(Dn=!0,os(),_n(),Dn=!1),d._vnode=a},ht={p:O,um:Me,m:nt,r:qr,mt:ee,mc:$,pc:j,pbc:_,n:zt,o:e};let Un,Bn;return t&&([Un,Bn]=t(ht)),{render:Gr,hydrate:Un,createApp:Ql(Gr,Un)}}function Gn({type:e,props:t},n){return n==="svg"&&e==="foreignObject"||n==="mathml"&&e==="annotation-xml"&&t&&t.encoding&&t.encoding.includes("html")?void 0:n}function rt({effect:e,update:t},n){e.allowRecurse=t.allowRecurse=n}function zo(e,t){return(!e||e&&!e.pendingBranch)&&t&&!t.persisted}function Dr(e,t,n=!1){const r=e.children,s=t.children;if(B(r)&&B(s))for(let o=0;o<r.length;o++){const i=r[o];let l=s[o];l.shapeFlag&1&&!l.dynamicChildren&&((l.patchFlag<=0||l.patchFlag===32)&&(l=s[o]=qe(s[o]),l.el=i.el),!n&&l.patchFlag!==-2&&Dr(i,l)),l.type===ut&&(l.el=i.el)}}function pc(e){const t=e.slice(),n=[0];let r,s,o,i,l;const c=e.length;for(r=0;r<c;r++){const u=e[r];if(u!==0){if(s=n[n.length-1],e[s]<u){t[r]=s,n.push(r);continue}for(o=0,i=n.length-1;o<i;)l=o+i>>1,e[n[l]]<u?o=l+1:i=l;u<e[n[o]]&&(o>0&&(t[r]=n[o-1]),n[o]=r)}}for(o=n.length,i=n[o-1];o-- >0;)n[o]=i,i=t[i];return n}function Jo(e){const t=e.subTree.component;if(t)return t.asyncDep&&!t.asyncResolved?t:Jo(t)}function bs(e){if(e)for(let t=0;t<e.length;t++)e[t].active=!1}const gc=Symbol.for("v-scx"),mc=()=>Ct(gc);function Ur(e,t){return $n(e,null,t)}function bu(e,t){return $n(e,null,{flush:"post"})}const ln={};function Fe(e,t,n){return $n(e,t,n)}function $n(e,t,{immediate:n,deep:r,flush:s,once:o,onTrack:i,onTrigger:l}=ne){if(t&&o){const T=t;t=(...F)=>{T(...F),I()}}const c=ae,u=T=>r===!0?T:Ge(T,r===!1?1:void 0);let f,h=!1,m=!1;if(de(e)?(f=()=>e.value,h=St(e)):vt(e)?(f=()=>u(e),h=!0):B(e)?(m=!0,h=e.some(T=>vt(T)||St(T)),f=()=>e.map(T=>{if(de(T))return T.value;if(vt(T))return u(T);if(K(T))return Ye(T,c,2)})):K(e)?t?f=()=>Ye(e,c,2):f=()=>(v&&v(),Ae(e,c,3,[S])):f=Te,t&&r){const T=f;f=()=>Ge(T())}let v,S=T=>{v=p.onStop=()=>{Ye(T,c,4),v=p.onStop=void 0}},O;if(Xt)if(S=Te,t?n&&Ae(t,c,3,[f(),m?[]:void 0,S]):f(),s==="sync"){const T=mc();O=T.__watcherHandles||(T.__watcherHandles=[])}else return Te;let k=m?new Array(e.length).fill(ln):ln;const W=()=>{if(!(!p.active||!p.dirty))if(t){const T=p.run();(r||h||(m?T.some((F,$)=>ze(F,k[$])):ze(T,k)))&&(v&&v(),Ae(t,c,3,[T,k===ln?void 0:m&&k[0]===ln?[]:k,S]),k=T)}else p.run()};W.allowRecurse=!!t;let D;s==="sync"?D=W:s==="post"?D=()=>ye(W,c&&c.suspense):(W.pre=!0,c&&(W.id=c.uid),D=()=>In(W));const p=new Ar(f,Te,D),y=oo(),I=()=>{p.stop(),y&&Cr(y.effects,p)};return t?n?W():k=p.run():s==="post"?ye(p.run.bind(p),c&&c.suspense):p.run(),O&&O.push(I),I}function yc(e,t,n){const r=this.proxy,s=ie(e)?e.includes(".")?Qo(r,e):()=>r[e]:e.bind(r,r);let o;K(t)?o=t:(o=t.handler,n=t);const i=Gt(this),l=$n(s,o.bind(r),n);return i(),l}function Qo(e,t){const n=t.split(".");return()=>{let r=e;for(let s=0;s<n.length&&r;s++)r=r[n[s]];return r}}function Ge(e,t=1/0,n){if(t<=0||!Z(e)||e.__v_skip||(n=n||new Set,n.has(e)))return e;if(n.add(e),t--,de(e))Ge(e.value,t,n);else if(B(e))for(let r=0;r<e.length;r++)Ge(e[r],t,n);else if(zs(e)||_t(e))e.forEach(r=>{Ge(r,t,n)});else if(Zs(e)){for(const r in e)Ge(e[r],t,n);for(const r of Object.getOwnPropertySymbols(e))Object.prototype.propertyIsEnumerable.call(e,r)&&Ge(e[r],t,n)}return e}const _c=(e,t)=>t==="modelValue"||t==="model-value"?e.modelModifiers:e[`${t}Modifiers`]||e[`${Oe(t)}Modifiers`]||e[`${Ze(t)}Modifiers`];function bc(e,t,...n){if(e.isUnmounted)return;const r=e.vnode.props||ne;let s=n;const o=t.startsWith("update:"),i=o&&_c(r,t.slice(7));i&&(i.trim&&(s=n.map(f=>ie(f)?f.trim():f)),i.number&&(s=n.map(cr)));let l,c=r[l=fn(t)]||r[l=fn(Oe(t))];!c&&o&&(c=r[l=fn(Ze(t))]),c&&Ae(c,e,6,s);const u=r[l+"Once"];if(u){if(!e.emitted)e.emitted={};else if(e.emitted[l])return;e.emitted[l]=!0,Ae(u,e,6,s)}}function Zo(e,t,n=!1){const r=t.emitsCache,s=r.get(e);if(s!==void 0)return s;const o=e.emits;let i={},l=!1;if(!K(e)){const c=u=>{const f=Zo(u,t,!0);f&&(l=!0,fe(i,f))};!n&&t.mixins.length&&t.mixins.forEach(c),e.extends&&c(e.extends),e.mixins&&e.mixins.forEach(c)}return!o&&!l?(Z(e)&&r.set(e,null),null):(B(o)?o.forEach(c=>i[c]=null):fe(i,o),Z(e)&&r.set(e,i),i)}function Hn(e,t){return!e||!Kt(t)?!1:(t=t.slice(2).replace(/Once$/,""),z(e,t[0].toLowerCase()+t.slice(1))||z(e,Ze(t))||z(e,t))}function Xn(e){const{type:t,vnode:n,proxy:r,withProxy:s,propsOptions:[o],slots:i,attrs:l,emit:c,render:u,renderCache:f,props:h,data:m,setupState:v,ctx:S,inheritAttrs:O}=e,k=bn(e);let W,D;try{if(n.shapeFlag&4){const y=s||r,I=y;W=xe(u.call(I,y,f,h,v,m,S)),D=l}else{const y=t;W=xe(y.length>1?y(h,{attrs:l,slots:i,emit:c}):y(h,null)),D=t.props?l:vc(l)}}catch(y){$t.length=0,Wt(y,e,1),W=le(me)}let p=W;if(D&&O!==!1){const y=Object.keys(D),{shapeFlag:I}=p;y.length&&I&7&&(o&&y.some(Er)&&(D=wc(D,o)),p=Je(p,D,!1,!0))}return n.dirs&&(p=Je(p,null,!1,!0),p.dirs=p.dirs?p.dirs.concat(n.dirs):n.dirs),n.transition&&(p.transition=n.transition),W=p,bn(k),W}const vc=e=>{let t;for(const n in e)(n==="class"||n==="style"||Kt(n))&&((t||(t={}))[n]=e[n]);return t},wc=(e,t)=>{const n={};for(const r in e)(!Er(r)||!(r.slice(9)in t))&&(n[r]=e[r]);return n};function Ec(e,t,n){const{props:r,children:s,component:o}=e,{props:i,children:l,patchFlag:c}=t,u=o.emitsOptions;if(t.dirs||t.transition)return!0;if(n&&c>=0){if(c&1024)return!0;if(c&16)return r?vs(r,i,u):!!i;if(c&8){const f=t.dynamicProps;for(let h=0;h<f.length;h++){const m=f[h];if(i[m]!==r[m]&&!Hn(u,m))return!0}}}else return(s||l)&&(!l||!l.$stable)?!0:r===i?!1:r?i?vs(r,i,u):!0:!!i;return!1}function vs(e,t,n){const r=Object.keys(t);if(r.length!==Object.keys(e).length)return!0;for(let s=0;s<r.length;s++){const o=r[s];if(t[o]!==e[o]&&!Hn(n,o))return!0}return!1}function Cc({vnode:e,parent:t},n){for(;t;){const r=t.subTree;if(r.suspense&&r.suspense.activeBranch===e&&(r.el=e.el),r===e)(e=t.vnode).el=n,t=t.parent;else break}}const Sc=e=>e.__isSuspense;function ei(e,t){t&&t.pendingBranch?B(e)?t.effects.push(...e):t.effects.push(e):Rl(e)}const _e=Symbol.for("v-fgt"),ut=Symbol.for("v-txt"),me=Symbol.for("v-cmt"),Ft=Symbol.for("v-stc"),$t=[];let Ee=null;function ti(e=!1){$t.push(Ee=e?null:[])}function xc(){$t.pop(),Ee=$t[$t.length-1]||null}let Ut=1;function ws(e){Ut+=e,e<0&&Ee&&(Ee.hasOnce=!0)}function ni(e){return e.dynamicChildren=Ut>0?Ee||yt:null,xc(),Ut>0&&Ee&&Ee.push(e),e}function vu(e,t,n,r,s,o){return ni(oi(e,t,n,r,s,o,!0))}function ri(e,t,n,r,s){return ni(le(e,t,n,r,s,!0))}function Cn(e){return e?e.__v_isVNode===!0:!1}function lt(e,t){return e.type===t.type&&e.key===t.key}const si=({key:e})=>e??null,pn=({ref:e,ref_key:t,ref_for:n})=>(typeof e=="number"&&(e=""+e),e!=null?ie(e)||de(e)||K(e)?{i:ue,r:e,k:t,f:!!n}:e:null);function oi(e,t=null,n=null,r=0,s=null,o=e===_e?0:1,i=!1,l=!1){const c={__v_isVNode:!0,__v_skip:!0,type:e,props:t,key:t&&si(t),ref:t&&pn(t),scopeId:Pn,slotScopeIds:null,children:n,component:null,suspense:null,ssContent:null,ssFallback:null,dirs:null,transition:null,el:null,anchor:null,target:null,targetStart:null,targetAnchor:null,staticCount:0,shapeFlag:o,patchFlag:r,dynamicProps:s,dynamicChildren:null,appContext:null,ctx:ue};return l?(Br(c,n),o&128&&e.normalize(c)):n&&(c.shapeFlag|=ie(n)?8:16),Ut>0&&!i&&Ee&&(c.patchFlag>0||o&6)&&c.patchFlag!==32&&Ee.push(c),c}const le=Tc;function Tc(e,t=null,n=null,r=0,s=null,o=!1){if((!e||e===Po)&&(e=me),Cn(e)){const l=Je(e,t,!0);return n&&Br(l,n),Ut>0&&!o&&Ee&&(l.shapeFlag&6?Ee[Ee.indexOf(e)]=l:Ee.push(l)),l.patchFlag=-2,l}if($c(e)&&(e=e.__vccOpts),t){t=Ac(t);let{class:l,style:c}=t;l&&!ie(l)&&(t.class=Tr(l)),Z(c)&&(_o(c)&&!B(c)&&(c=fe({},c)),t.style=xr(c))}const i=ie(e)?1:Sc(e)?128:ic(e)?64:Z(e)?4:K(e)?2:0;return oi(e,t,n,r,s,i,o,!0)}function Ac(e){return e?_o(e)||Do(e)?fe({},e):e:null}function Je(e,t,n=!1,r=!1){const{props:s,ref:o,patchFlag:i,children:l,transition:c}=e,u=t?Rc(s||{},t):s,f={__v_isVNode:!0,__v_skip:!0,type:e.type,props:u,key:u&&si(u),ref:t&&t.ref?n&&o?B(o)?o.concat(pn(t)):[o,pn(t)]:pn(t):o,scopeId:e.scopeId,slotScopeIds:e.slotScopeIds,children:l,target:e.target,targetStart:e.targetStart,targetAnchor:e.targetAnchor,staticCount:e.staticCount,shapeFlag:e.shapeFlag,patchFlag:t&&e.type!==_e?i===-1?16:i|16:i,dynamicProps:e.dynamicProps,dynamicChildren:e.dynamicChildren,appContext:e.appContext,dirs:e.dirs,transition:c,component:e.component,suspense:e.suspense,ssContent:e.ssContent&&Je(e.ssContent),ssFallback:e.ssFallback&&Je(e.ssFallback),el:e.el,anchor:e.anchor,ctx:e.ctx,ce:e.ce};return c&&r&&vn(f,c.clone(f)),f}function ii(e=" ",t=0){return le(ut,null,e,t)}function wu(e,t){const n=le(Ft,null,e);return n.staticCount=t,n}function Eu(e="",t=!1){return t?(ti(),ri(me,null,e)):le(me,null,e)}function xe(e){return e==null||typeof e=="boolean"?le(me):B(e)?le(_e,null,e.slice()):typeof e=="object"?qe(e):le(ut,null,String(e))}function qe(e){return e.el===null&&e.patchFlag!==-1||e.memo?e:Je(e)}function Br(e,t){let n=0;const{shapeFlag:r}=e;if(t==null)t=null;else if(B(t))n=16;else if(typeof t=="object")if(r&65){const s=t.default;s&&(s._c&&(s._d=!1),Br(e,s()),s._c&&(s._d=!0));return}else{n=32;const s=t._;!s&&!Do(t)?t._ctx=ue:s===3&&ue&&(ue.slots._===1?t._=1:(t._=2,e.patchFlag|=1024))}else K(t)?(t={default:t,_ctx:ue},n=32):(t=String(t),r&64?(n=16,t=[ii(t)]):n=8);e.children=t,e.shapeFlag|=n}function Rc(...e){const t={};for(let n=0;n<e.length;n++){const r=e[n];for(const s in r)if(s==="class")t.class!==r.class&&(t.class=Tr([t.class,r.class]));else if(s==="style")t.style=xr([t.style,r.style]);else if(Kt(s)){const o=t[s],i=r[s];i&&o!==i&&!(B(o)&&o.includes(i))&&(t[s]=o?[].concat(o,i):i)}else s!==""&&(t[s]=r[s])}return t}function Se(e,t,n,r=null){Ae(e,t,7,[n,r])}const Oc=Ho();let Lc=0;function Mc(e,t,n){const r=e.type,s=(t?t.appContext:e.appContext)||Oc,o={uid:Lc++,vnode:e,type:r,parent:t,appContext:s,root:null,next:null,subTree:null,effect:null,update:null,scope:new qi(!0),render:null,proxy:null,exposed:null,exposeProxy:null,withProxy:null,provides:t?t.provides:Object.create(s.provides),accessCache:null,renderCache:[],components:null,directives:null,propsOptions:Bo(r,s),emitsOptions:Zo(r,s),emit:null,emitted:null,propsDefaults:ne,inheritAttrs:r.inheritAttrs,ctx:ne,data:ne,props:ne,attrs:ne,slots:ne,refs:ne,setupState:ne,setupContext:null,suspense:n,suspenseId:n?n.pendingId:0,asyncDep:null,asyncResolved:!1,isMounted:!1,isUnmounted:!1,isDeactivated:!1,bc:null,c:null,bm:null,m:null,bu:null,u:null,um:null,bum:null,da:null,a:null,rtg:null,rtc:null,ec:null,sp:null};return o.ctx={_:o},o.root=t?t.root:o,o.emit=bc.bind(null,o),e.ce&&e.ce(o),o}let ae=null;const jn=()=>ae||ue;let Sn,br;{const e=to(),t=(n,r)=>{let s;return(s=e[n])||(s=e[n]=[]),s.push(r),o=>{s.length>1?s.forEach(i=>i(o)):s[0](o)}};Sn=t("__VUE_INSTANCE_SETTERS__",n=>ae=n),br=t("__VUE_SSR_SETTERS__",n=>Xt=n)}const Gt=e=>{const t=ae;return Sn(e),e.scope.on(),()=>{e.scope.off(),Sn(t)}},Es=()=>{ae&&ae.scope.off(),Sn(null)};function li(e){return e.vnode.shapeFlag&4}let Xt=!1;function Ic(e,t=!1,n=!1){t&&br(t);const{props:r,children:s}=e.vnode,o=li(e);ec(e,r,o,t),sc(e,s,n);const i=o?Pc(e,t):void 0;return t&&br(!1),i}function Pc(e,t){const n=e.type;e.accessCache=Object.create(null),e.proxy=new Proxy(e.ctx,Kl);const{setup:r}=n;if(r){const s=e.setupContext=r.length>1?ai(e):null,o=Gt(e);et();const i=Ye(r,e,0,[e.props,s]);if(tt(),o(),Js(i)){if(i.then(Es,Es),t)return i.then(l=>{Cs(e,l,t)}).catch(l=>{Wt(l,e,0)});e.asyncDep=i}else Cs(e,i,t)}else ci(e,t)}function Cs(e,t,n){K(t)?e.type.__ssrInlineRender?e.ssrRender=t:e.render=t:Z(t)&&(e.setupState=Eo(t)),ci(e,n)}let Ss;function ci(e,t,n){const r=e.type;if(!e.render){if(!t&&Ss&&!r.render){const s=r.template||jr(e).template;if(s){const{isCustomElement:o,compilerOptions:i}=e.appContext.config,{delimiters:l,compilerOptions:c}=r,u=fe(fe({isCustomElement:o,delimiters:l},i),c);r.render=Ss(s,u)}}e.render=r.render||Te}{const s=Gt(e);et();try{ql(e)}finally{tt(),s()}}}const Nc={get(e,t){return be(e,"get",""),e[t]}};function ai(e){const t=n=>{e.exposed=n||{}};return{attrs:new Proxy(e.attrs,Nc),slots:e.slots,emit:e.emit,expose:t}}function Vn(e){return e.exposed?e.exposeProxy||(e.exposeProxy=new Proxy(Eo(hn(e.exposed)),{get(t,n){if(n in t)return t[n];if(n in It)return It[n](e)},has(t,n){return n in t||n in It}})):e.proxy}function Fc(e,t=!0){return K(e)?e.displayName||e.name:e.name||t&&e.__name}function $c(e){return K(e)&&"__vccOpts"in e}const se=(e,t)=>ml(e,t,Xt);function vr(e,t,n){const r=arguments.length;return r===2?Z(t)&&!B(t)?Cn(t)?le(e,null,[t]):le(e,t):le(e,null,t):(r>3?n=Array.prototype.slice.call(arguments,2):r===3&&Cn(n)&&(n=[n]),le(e,t,n))}const Hc="3.4.33";/**
+* @vue/runtime-dom v3.4.33
+* (c) 2018-present Yuxi (Evan) You and Vue contributors
+* @license MIT
+**/const jc="http://www.w3.org/2000/svg",Vc="http://www.w3.org/1998/Math/MathML",je=typeof document<"u"?document:null,xs=je&&je.createElement("template"),Dc={insert:(e,t,n)=>{t.insertBefore(e,n||null)},remove:e=>{const t=e.parentNode;t&&t.removeChild(e)},createElement:(e,t,n,r)=>{const s=t==="svg"?je.createElementNS(jc,e):t==="mathml"?je.createElementNS(Vc,e):n?je.createElement(e,{is:n}):je.createElement(e);return e==="select"&&r&&r.multiple!=null&&s.setAttribute("multiple",r.multiple),s},createText:e=>je.createTextNode(e),createComment:e=>je.createComment(e),setText:(e,t)=>{e.nodeValue=t},setElementText:(e,t)=>{e.textContent=t},parentNode:e=>e.parentNode,nextSibling:e=>e.nextSibling,querySelector:e=>je.querySelector(e),setScopeId(e,t){e.setAttribute(t,"")},insertStaticContent(e,t,n,r,s,o){const i=n?n.previousSibling:t.lastChild;if(s&&(s===o||s.nextSibling))for(;t.insertBefore(s.cloneNode(!0),n),!(s===o||!(s=s.nextSibling)););else{xs.innerHTML=r==="svg"?`<svg>${e}</svg>`:r==="mathml"?`<math>${e}</math>`:e;const l=xs.content;if(r==="svg"||r==="mathml"){const c=l.firstChild;for(;c.firstChild;)l.appendChild(c.firstChild);l.removeChild(c)}t.insertBefore(l,n)}return[i?i.nextSibling:t.firstChild,n?n.previousSibling:t.lastChild]}},Be="transition",Ot="animation",Bt=Symbol("_vtc"),ui=(e,{slots:t})=>vr(Pl,Uc(e),t);ui.displayName="Transition";const fi={name:String,type:String,css:{type:Boolean,default:!0},duration:[String,Number,Object],enterFromClass:String,enterActiveClass:String,enterToClass:String,appearFromClass:String,appearActiveClass:String,appearToClass:String,leaveFromClass:String,leaveActiveClass:String,leaveToClass:String};ui.props=fe({},To,fi);const st=(e,t=[])=>{B(e)?e.forEach(n=>n(...t)):e&&e(...t)},Ts=e=>e?B(e)?e.some(t=>t.length>1):e.length>1:!1;function Uc(e){const t={};for(const x in e)x in fi||(t[x]=e[x]);if(e.css===!1)return t;const{name:n="v",type:r,duration:s,enterFromClass:o=`${n}-enter-from`,enterActiveClass:i=`${n}-enter-active`,enterToClass:l=`${n}-enter-to`,appearFromClass:c=o,appearActiveClass:u=i,appearToClass:f=l,leaveFromClass:h=`${n}-leave-from`,leaveActiveClass:m=`${n}-leave-active`,leaveToClass:v=`${n}-leave-to`}=e,S=Bc(s),O=S&&S[0],k=S&&S[1],{onBeforeEnter:W,onEnter:D,onEnterCancelled:p,onLeave:y,onLeaveCancelled:I,onBeforeAppear:T=W,onAppear:F=D,onAppearCancelled:$=p}=t,M=(x,G,ee)=>{ot(x,G?f:l),ot(x,G?u:i),ee&&ee()},_=(x,G)=>{x._isLeaving=!1,ot(x,h),ot(x,v),ot(x,m),G&&G()},N=x=>(G,ee)=>{const re=x?F:D,U=()=>M(G,x,ee);st(re,[G,U]),As(()=>{ot(G,x?c:o),ke(G,x?f:l),Ts(re)||Rs(G,r,O,U)})};return fe(t,{onBeforeEnter(x){st(W,[x]),ke(x,o),ke(x,i)},onBeforeAppear(x){st(T,[x]),ke(x,c),ke(x,u)},onEnter:N(!1),onAppear:N(!0),onLeave(x,G){x._isLeaving=!0;const ee=()=>_(x,G);ke(x,h),ke(x,m),Wc(),As(()=>{x._isLeaving&&(ot(x,h),ke(x,v),Ts(y)||Rs(x,r,k,ee))}),st(y,[x,ee])},onEnterCancelled(x){M(x,!1),st(p,[x])},onAppearCancelled(x){M(x,!0),st($,[x])},onLeaveCancelled(x){_(x),st(I,[x])}})}function Bc(e){if(e==null)return null;if(Z(e))return[Yn(e.enter),Yn(e.leave)];{const t=Yn(e);return[t,t]}}function Yn(e){return ji(e)}function ke(e,t){t.split(/\s+/).forEach(n=>n&&e.classList.add(n)),(e[Bt]||(e[Bt]=new Set)).add(t)}function ot(e,t){t.split(/\s+/).forEach(r=>r&&e.classList.remove(r));const n=e[Bt];n&&(n.delete(t),n.size||(e[Bt]=void 0))}function As(e){requestAnimationFrame(()=>{requestAnimationFrame(e)})}let kc=0;function Rs(e,t,n,r){const s=e._endId=++kc,o=()=>{s===e._endId&&r()};if(n)return setTimeout(o,n);const{type:i,timeout:l,propCount:c}=Kc(e,t);if(!i)return r();const u=i+"end";let f=0;const h=()=>{e.removeEventListener(u,m),o()},m=v=>{v.target===e&&++f>=c&&h()};setTimeout(()=>{f<c&&h()},l+1),e.addEventListener(u,m)}function Kc(e,t){const n=window.getComputedStyle(e),r=S=>(n[S]||"").split(", "),s=r(`${Be}Delay`),o=r(`${Be}Duration`),i=Os(s,o),l=r(`${Ot}Delay`),c=r(`${Ot}Duration`),u=Os(l,c);let f=null,h=0,m=0;t===Be?i>0&&(f=Be,h=i,m=o.length):t===Ot?u>0&&(f=Ot,h=u,m=c.length):(h=Math.max(i,u),f=h>0?i>u?Be:Ot:null,m=f?f===Be?o.length:c.length:0);const v=f===Be&&/\b(transform|all)(,|$)/.test(r(`${Be}Property`).toString());return{type:f,timeout:h,propCount:m,hasTransform:v}}function Os(e,t){for(;e.length<t.length;)e=e.concat(e);return Math.max(...t.map((n,r)=>Ls(n)+Ls(e[r])))}function Ls(e){return e==="auto"?0:Number(e.slice(0,-1).replace(",","."))*1e3}function Wc(){return document.body.offsetHeight}function qc(e,t,n){const r=e[Bt];r&&(t=(t?[t,...r]:[...r]).join(" ")),t==null?e.removeAttribute("class"):n?e.setAttribute("class",t):e.className=t}const Ms=Symbol("_vod"),Gc=Symbol("_vsh"),Xc=Symbol(""),Yc=/(^|;)\s*display\s*:/;function zc(e,t,n){const r=e.style,s=ie(n);let o=!1;if(n&&!s){if(t)if(ie(t))for(const i of t.split(";")){const l=i.slice(0,i.indexOf(":")).trim();n[l]==null&&gn(r,l,"")}else for(const i in t)n[i]==null&&gn(r,i,"");for(const i in n)i==="display"&&(o=!0),gn(r,i,n[i])}else if(s){if(t!==n){const i=r[Xc];i&&(n+=";"+i),r.cssText=n,o=Yc.test(n)}}else t&&e.removeAttribute("style");Ms in e&&(e[Ms]=o?r.display:"",e[Gc]&&(r.display="none"))}const Is=/\s*!important$/;function gn(e,t,n){if(B(n))n.forEach(r=>gn(e,t,r));else if(n==null&&(n=""),t.startsWith("--"))e.setProperty(t,n);else{const r=Jc(e,t);Is.test(n)?e.setProperty(Ze(r),n.replace(Is,""),"important"):e[r]=n}}const Ps=["Webkit","Moz","ms"],zn={};function Jc(e,t){const n=zn[t];if(n)return n;let r=Oe(t);if(r!=="filter"&&r in e)return zn[t]=r;r=An(r);for(let s=0;s<Ps.length;s++){const o=Ps[s]+r;if(o in e)return zn[t]=o}return t}const Ns="http://www.w3.org/1999/xlink";function Fs(e,t,n,r,s,o=Ki(t)){r&&t.startsWith("xlink:")?n==null?e.removeAttributeNS(Ns,t.slice(6,t.length)):e.setAttributeNS(Ns,t,n):n==null||o&&!no(n)?e.removeAttribute(t):e.setAttribute(t,o?"":Qe(n)?String(n):n)}function Qc(e,t,n,r){if(t==="innerHTML"||t==="textContent"){if(n==null)return;e[t]=n;return}const s=e.tagName;if(t==="value"&&s!=="PROGRESS"&&!s.includes("-")){const i=s==="OPTION"?e.getAttribute("value")||"":e.value,l=n==null?"":String(n);(i!==l||!("_value"in e))&&(e.value=l),n==null&&e.removeAttribute(t),e._value=n;return}let o=!1;if(n===""||n==null){const i=typeof e[t];i==="boolean"?n=no(n):n==null&&i==="string"?(n="",o=!0):i==="number"&&(n=0,o=!0)}try{e[t]=n}catch{}o&&e.removeAttribute(t)}function mt(e,t,n,r){e.addEventListener(t,n,r)}function Zc(e,t,n,r){e.removeEventListener(t,n,r)}const $s=Symbol("_vei");function ea(e,t,n,r,s=null){const o=e[$s]||(e[$s]={}),i=o[t];if(r&&i)i.value=r;else{const[l,c]=ta(t);if(r){const u=o[t]=sa(r,s);mt(e,l,u,c)}else i&&(Zc(e,l,i,c),o[t]=void 0)}}const Hs=/(?:Once|Passive|Capture)$/;function ta(e){let t;if(Hs.test(e)){t={};let r;for(;r=e.match(Hs);)e=e.slice(0,e.length-r[0].length),t[r[0].toLowerCase()]=!0}return[e[2]===":"?e.slice(3):Ze(e.slice(2)),t]}let Jn=0;const na=Promise.resolve(),ra=()=>Jn||(na.then(()=>Jn=0),Jn=Date.now());function sa(e,t){const n=r=>{if(!r._vts)r._vts=Date.now();else if(r._vts<=n.attached)return;Ae(oa(r,n.value),t,5,[r])};return n.value=e,n.attached=ra(),n}function oa(e,t){if(B(t)){const n=e.stopImmediatePropagation;return e.stopImmediatePropagation=()=>{n.call(e),e._stopped=!0},t.map(r=>s=>!s._stopped&&r&&r(s))}else return t}const js=e=>e.charCodeAt(0)===111&&e.charCodeAt(1)===110&&e.charCodeAt(2)>96&&e.charCodeAt(2)<123,ia=(e,t,n,r,s,o)=>{const i=s==="svg";t==="class"?qc(e,r,i):t==="style"?zc(e,n,r):Kt(t)?Er(t)||ea(e,t,n,r,o):(t[0]==="."?(t=t.slice(1),!0):t[0]==="^"?(t=t.slice(1),!1):la(e,t,r,i))?(Qc(e,t,r),!e.tagName.includes("-")&&(t==="value"||t==="checked"||t==="selected")&&Fs(e,t,r,i,o,t!=="value")):(t==="true-value"?e._trueValue=r:t==="false-value"&&(e._falseValue=r),Fs(e,t,r,i))};function la(e,t,n,r){if(r)return!!(t==="innerHTML"||t==="textContent"||t in e&&js(t)&&K(n));if(t==="spellcheck"||t==="draggable"||t==="translate"||t==="form"||t==="list"&&e.tagName==="INPUT"||t==="type"&&e.tagName==="TEXTAREA")return!1;if(t==="width"||t==="height"){const s=e.tagName;if(s==="IMG"||s==="VIDEO"||s==="CANVAS"||s==="SOURCE")return!1}return js(t)&&ie(n)?!1:t in e}const Vs=e=>{const t=e.props["onUpdate:modelValue"]||!1;return B(t)?n=>dn(t,n):t};function ca(e){e.target.composing=!0}function Ds(e){const t=e.target;t.composing&&(t.composing=!1,t.dispatchEvent(new Event("input")))}const Qn=Symbol("_assign"),Cu={created(e,{modifiers:{lazy:t,trim:n,number:r}},s){e[Qn]=Vs(s);const o=r||s.props&&s.props.type==="number";mt(e,t?"change":"input",i=>{if(i.target.composing)return;let l=e.value;n&&(l=l.trim()),o&&(l=cr(l)),e[Qn](l)}),n&&mt(e,"change",()=>{e.value=e.value.trim()}),t||(mt(e,"compositionstart",ca),mt(e,"compositionend",Ds),mt(e,"change",Ds))},mounted(e,{value:t}){e.value=t??""},beforeUpdate(e,{value:t,oldValue:n,modifiers:{lazy:r,trim:s,number:o}},i){if(e[Qn]=Vs(i),e.composing)return;const l=(o||e.type==="number")&&!/^0\d/.test(e.value)?cr(e.value):e.value,c=t??"";l!==c&&(document.activeElement===e&&e.type!=="range"&&(r&&t===n||s&&e.value.trim()===c)||(e.value=c))}},aa=["ctrl","shift","alt","meta"],ua={stop:e=>e.stopPropagation(),prevent:e=>e.preventDefault(),self:e=>e.target!==e.currentTarget,ctrl:e=>!e.ctrlKey,shift:e=>!e.shiftKey,alt:e=>!e.altKey,meta:e=>!e.metaKey,left:e=>"button"in e&&e.button!==0,middle:e=>"button"in e&&e.button!==1,right:e=>"button"in e&&e.button!==2,exact:(e,t)=>aa.some(n=>e[`${n}Key`]&&!t.includes(n))},Su=(e,t)=>{const n=e._withMods||(e._withMods={}),r=t.join(".");return n[r]||(n[r]=(s,...o)=>{for(let i=0;i<t.length;i++){const l=ua[t[i]];if(l&&l(s,t))return}return e(s,...o)})},fa={esc:"escape",space:" ",up:"arrow-up",left:"arrow-left",right:"arrow-right",down:"arrow-down",delete:"backspace"},xu=(e,t)=>{const n=e._withKeys||(e._withKeys={}),r=t.join(".");return n[r]||(n[r]=s=>{if(!("key"in s))return;const o=Ze(s.key);if(t.some(i=>i===o||fa[i]===o))return e(s)})},di=fe({patchProp:ia},Dc);let Ht,Us=!1;function da(){return Ht||(Ht=dc(di))}function ha(){return Ht=Us?Ht:hc(di),Us=!0,Ht}const Tu=(...e)=>{const t=da().createApp(...e),{mount:n}=t;return t.mount=r=>{const s=pi(r);if(!s)return;const o=t._component;!K(o)&&!o.render&&!o.template&&(o.template=s.innerHTML),s.innerHTML="";const i=n(s,!1,hi(s));return s instanceof Element&&(s.removeAttribute("v-cloak"),s.setAttribute("data-v-app","")),i},t},Au=(...e)=>{const t=ha().createApp(...e),{mount:n}=t;return t.mount=r=>{const s=pi(r);if(s)return n(s,!0,hi(s))},t};function hi(e){if(e instanceof SVGElement)return"svg";if(typeof MathMLElement=="function"&&e instanceof MathMLElement)return"mathml"}function pi(e){return ie(e)?document.querySelector(e):e}const Ru=(e,t)=>{const n=e.__vccOpts||e;for(const[r,s]of t)n[r]=s;return n},pa="modulepreload",ga=function(e){return"/c/"+e},Bs={},Ou=function(t,n,r){let s=Promise.resolve();if(n&&n.length>0){document.getElementsByTagName("link");const o=document.querySelector("meta[property=csp-nonce]"),i=(o==null?void 0:o.nonce)||(o==null?void 0:o.getAttribute("nonce"));s=Promise.all(n.map(l=>{if(l=ga(l),l in Bs)return;Bs[l]=!0;const c=l.endsWith(".css"),u=c?'[rel="stylesheet"]':"";if(document.querySelector(`link[href="${l}"]${u}`))return;const f=document.createElement("link");if(f.rel=c?"stylesheet":pa,c||(f.as="script",f.crossOrigin=""),f.href=l,i&&f.setAttribute("nonce",i),document.head.appendChild(f),c)return new Promise((h,m)=>{f.addEventListener("load",h),f.addEventListener("error",()=>m(new Error(`Unable to preload CSS for ${l}`)))})}))}return s.then(()=>t()).catch(o=>{const i=new Event("vite:preloadError",{cancelable:!0});if(i.payload=o,window.dispatchEvent(i),!i.defaultPrevented)throw o})},ma=window.__VP_SITE_DATA__;function kr(e){return oo()?(Xi(e),!0):!1}function $e(e){return typeof e=="function"?e():wo(e)}const gi=typeof window<"u"&&typeof document<"u";typeof WorkerGlobalScope<"u"&&globalThis instanceof WorkerGlobalScope;const ya=Object.prototype.toString,_a=e=>ya.call(e)==="[object Object]",kt=()=>{},ks=ba();function ba(){var e,t;return gi&&((e=window==null?void 0:window.navigator)==null?void 0:e.userAgent)&&(/iP(?:ad|hone|od)/.test(window.navigator.userAgent)||((t=window==null?void 0:window.navigator)==null?void 0:t.maxTouchPoints)>2&&/iPad|Macintosh/.test(window==null?void 0:window.navigator.userAgent))}function va(e,t){function n(...r){return new Promise((s,o)=>{Promise.resolve(e(()=>t.apply(this,r),{fn:t,thisArg:this,args:r})).then(s).catch(o)})}return n}const mi=e=>e();function wa(e,t={}){let n,r,s=kt;const o=l=>{clearTimeout(l),s(),s=kt};return l=>{const c=$e(e),u=$e(t.maxWait);return n&&o(n),c<=0||u!==void 0&&u<=0?(r&&(o(r),r=null),Promise.resolve(l())):new Promise((f,h)=>{s=t.rejectOnCancel?h:f,u&&!r&&(r=setTimeout(()=>{n&&o(n),r=null,f(l())},u)),n=setTimeout(()=>{r&&o(r),r=null,f(l())},c)})}}function Ea(e=mi){const t=oe(!0);function n(){t.value=!1}function r(){t.value=!0}const s=(...o)=>{t.value&&e(...o)};return{isActive:Ln(t),pause:n,resume:r,eventFilter:s}}function Ca(e){return jn()}function yi(...e){if(e.length!==1)return Cl(...e);const t=e[0];return typeof t=="function"?Ln(vl(()=>({get:t,set:kt}))):oe(t)}function _i(e,t,n={}){const{eventFilter:r=mi,...s}=n;return Fe(e,va(r,t),s)}function Sa(e,t,n={}){const{eventFilter:r,...s}=n,{eventFilter:o,pause:i,resume:l,isActive:c}=Ea(r);return{stop:_i(e,t,{...s,eventFilter:o}),pause:i,resume:l,isActive:c}}function Kr(e,t=!0,n){Ca()?Tt(e,n):t?e():Mn(e)}function Lu(e,t,n={}){const{debounce:r=0,maxWait:s=void 0,...o}=n;return _i(e,t,{...o,eventFilter:wa(r,{maxWait:s})})}function Mu(e,t,n){let r;de(n)?r={evaluating:n}:r={};const{lazy:s=!1,evaluating:o=void 0,shallow:i=!0,onError:l=kt}=r,c=oe(!s),u=i?Fr(t):oe(t);let f=0;return Ur(async h=>{if(!c.value)return;f++;const m=f;let v=!1;o&&Promise.resolve().then(()=>{o.value=!0});try{const S=await e(O=>{h(()=>{o&&(o.value=!1),v||O()})});m===f&&(u.value=S)}catch(S){l(S)}finally{o&&m===f&&(o.value=!1),v=!0}}),s?se(()=>(c.value=!0,u.value)):u}function bi(e){var t;const n=$e(e);return(t=n==null?void 0:n.$el)!=null?t:n}const Le=gi?window:void 0;function xt(...e){let t,n,r,s;if(typeof e[0]=="string"||Array.isArray(e[0])?([n,r,s]=e,t=Le):[t,n,r,s]=e,!t)return kt;Array.isArray(n)||(n=[n]),Array.isArray(r)||(r=[r]);const o=[],i=()=>{o.forEach(f=>f()),o.length=0},l=(f,h,m,v)=>(f.addEventListener(h,m,v),()=>f.removeEventListener(h,m,v)),c=Fe(()=>[bi(t),$e(s)],([f,h])=>{if(i(),!f)return;const m=_a(h)?{...h}:h;o.push(...n.flatMap(v=>r.map(S=>l(f,v,S,m))))},{immediate:!0,flush:"post"}),u=()=>{c(),i()};return kr(u),u}function xa(e){return typeof e=="function"?e:typeof e=="string"?t=>t.key===e:Array.isArray(e)?t=>e.includes(t.key):()=>!0}function Iu(...e){let t,n,r={};e.length===3?(t=e[0],n=e[1],r=e[2]):e.length===2?typeof e[1]=="object"?(t=!0,n=e[0],r=e[1]):(t=e[0],n=e[1]):(t=!0,n=e[0]);const{target:s=Le,eventName:o="keydown",passive:i=!1,dedupe:l=!1}=r,c=xa(t);return xt(s,o,f=>{f.repeat&&$e(l)||c(f)&&n(f)},i)}function Ta(){const e=oe(!1),t=jn();return t&&Tt(()=>{e.value=!0},t),e}function Aa(e){const t=Ta();return se(()=>(t.value,!!e()))}function vi(e,t={}){const{window:n=Le}=t,r=Aa(()=>n&&"matchMedia"in n&&typeof n.matchMedia=="function");let s;const o=oe(!1),i=u=>{o.value=u.matches},l=()=>{s&&("removeEventListener"in s?s.removeEventListener("change",i):s.removeListener(i))},c=Ur(()=>{r.value&&(l(),s=n.matchMedia($e(e)),"addEventListener"in s?s.addEventListener("change",i):s.addListener(i),o.value=s.matches)});return kr(()=>{c(),l(),s=void 0}),o}const cn=typeof globalThis<"u"?globalThis:typeof window<"u"?window:typeof global<"u"?global:typeof self<"u"?self:{},an="__vueuse_ssr_handlers__",Ra=Oa();function Oa(){return an in cn||(cn[an]=cn[an]||{}),cn[an]}function wi(e,t){return Ra[e]||t}function La(e){return e==null?"any":e instanceof Set?"set":e instanceof Map?"map":e instanceof Date?"date":typeof e=="boolean"?"boolean":typeof e=="string"?"string":typeof e=="object"?"object":Number.isNaN(e)?"any":"number"}const Ma={boolean:{read:e=>e==="true",write:e=>String(e)},object:{read:e=>JSON.parse(e),write:e=>JSON.stringify(e)},number:{read:e=>Number.parseFloat(e),write:e=>String(e)},any:{read:e=>e,write:e=>String(e)},string:{read:e=>e,write:e=>String(e)},map:{read:e=>new Map(JSON.parse(e)),write:e=>JSON.stringify(Array.from(e.entries()))},set:{read:e=>new Set(JSON.parse(e)),write:e=>JSON.stringify(Array.from(e))},date:{read:e=>new Date(e),write:e=>e.toISOString()}},Ks="vueuse-storage";function Wr(e,t,n,r={}){var s;const{flush:o="pre",deep:i=!0,listenToStorageChanges:l=!0,writeDefaults:c=!0,mergeDefaults:u=!1,shallow:f,window:h=Le,eventFilter:m,onError:v=_=>{console.error(_)},initOnMounted:S}=r,O=(f?Fr:oe)(typeof t=="function"?t():t);if(!n)try{n=wi("getDefaultStorage",()=>{var _;return(_=Le)==null?void 0:_.localStorage})()}catch(_){v(_)}if(!n)return O;const k=$e(t),W=La(k),D=(s=r.serializer)!=null?s:Ma[W],{pause:p,resume:y}=Sa(O,()=>T(O.value),{flush:o,deep:i,eventFilter:m});h&&l&&Kr(()=>{xt(h,"storage",$),xt(h,Ks,M),S&&$()}),S||$();function I(_,N){h&&h.dispatchEvent(new CustomEvent(Ks,{detail:{key:e,oldValue:_,newValue:N,storageArea:n}}))}function T(_){try{const N=n.getItem(e);if(_==null)I(N,null),n.removeItem(e);else{const x=D.write(_);N!==x&&(n.setItem(e,x),I(N,x))}}catch(N){v(N)}}function F(_){const N=_?_.newValue:n.getItem(e);if(N==null)return c&&k!=null&&n.setItem(e,D.write(k)),k;if(!_&&u){const x=D.read(N);return typeof u=="function"?u(x,k):W==="object"&&!Array.isArray(x)?{...k,...x}:x}else return typeof N!="string"?N:D.read(N)}function $(_){if(!(_&&_.storageArea!==n)){if(_&&_.key==null){O.value=k;return}if(!(_&&_.key!==e)){p();try{(_==null?void 0:_.newValue)!==D.write(O.value)&&(O.value=F(_))}catch(N){v(N)}finally{_?Mn(y):y()}}}}function M(_){$(_.detail)}return O}function Ei(e){return vi("(prefers-color-scheme: dark)",e)}function Ia(e={}){const{selector:t="html",attribute:n="class",initialValue:r="auto",window:s=Le,storage:o,storageKey:i="vueuse-color-scheme",listenToStorageChanges:l=!0,storageRef:c,emitAuto:u,disableTransition:f=!0}=e,h={auto:"",light:"light",dark:"dark",...e.modes||{}},m=Ei({window:s}),v=se(()=>m.value?"dark":"light"),S=c||(i==null?yi(r):Wr(i,r,o,{window:s,listenToStorageChanges:l})),O=se(()=>S.value==="auto"?v.value:S.value),k=wi("updateHTMLAttrs",(y,I,T)=>{const F=typeof y=="string"?s==null?void 0:s.document.querySelector(y):bi(y);if(!F)return;let $;if(f&&($=s.document.createElement("style"),$.appendChild(document.createTextNode("*,*::before,*::after{-webkit-transition:none!important;-moz-transition:none!important;-o-transition:none!important;-ms-transition:none!important;transition:none!important}")),s.document.head.appendChild($)),I==="class"){const M=T.split(/\s/g);Object.values(h).flatMap(_=>(_||"").split(/\s/g)).filter(Boolean).forEach(_=>{M.includes(_)?F.classList.add(_):F.classList.remove(_)})}else F.setAttribute(I,T);f&&(s.getComputedStyle($).opacity,document.head.removeChild($))});function W(y){var I;k(t,n,(I=h[y])!=null?I:y)}function D(y){e.onChanged?e.onChanged(y,W):W(y)}Fe(O,D,{flush:"post",immediate:!0}),Kr(()=>D(O.value));const p=se({get(){return u?S.value:O.value},set(y){S.value=y}});try{return Object.assign(p,{store:S,system:v,state:O})}catch{return p}}function Pa(e={}){const{valueDark:t="dark",valueLight:n="",window:r=Le}=e,s=Ia({...e,onChanged:(l,c)=>{var u;e.onChanged?(u=e.onChanged)==null||u.call(e,l==="dark",c,l):c(l)},modes:{dark:t,light:n}}),o=se(()=>s.system?s.system.value:Ei({window:r}).value?"dark":"light");return se({get(){return s.value==="dark"},set(l){const c=l?"dark":"light";o.value===c?s.value="auto":s.value=c}})}function Zn(e){return typeof Window<"u"&&e instanceof Window?e.document.documentElement:typeof Document<"u"&&e instanceof Document?e.documentElement:e}function Pu(e,t,n={}){const{window:r=Le}=n;return Wr(e,t,r==null?void 0:r.localStorage,n)}function Ci(e){const t=window.getComputedStyle(e);if(t.overflowX==="scroll"||t.overflowY==="scroll"||t.overflowX==="auto"&&e.clientWidth<e.scrollWidth||t.overflowY==="auto"&&e.clientHeight<e.scrollHeight)return!0;{const n=e.parentNode;return!n||n.tagName==="BODY"?!1:Ci(n)}}function Na(e){const t=e||window.event,n=t.target;return Ci(n)?!1:t.touches.length>1?!0:(t.preventDefault&&t.preventDefault(),!1)}const er=new WeakMap;function Nu(e,t=!1){const n=oe(t);let r=null,s="";Fe(yi(e),l=>{const c=Zn($e(l));if(c){const u=c;if(er.get(u)||er.set(u,u.style.overflow),u.style.overflow!=="hidden"&&(s=u.style.overflow),u.style.overflow==="hidden")return n.value=!0;if(n.value)return u.style.overflow="hidden"}},{immediate:!0});const o=()=>{const l=Zn($e(e));!l||n.value||(ks&&(r=xt(l,"touchmove",c=>{Na(c)},{passive:!1})),l.style.overflow="hidden",n.value=!0)},i=()=>{const l=Zn($e(e));!l||!n.value||(ks&&(r==null||r()),l.style.overflow=s,er.delete(l),n.value=!1)};return kr(i),se({get(){return n.value},set(l){l?o():i()}})}function Fu(e,t,n={}){const{window:r=Le}=n;return Wr(e,t,r==null?void 0:r.sessionStorage,n)}function $u(e={}){const{window:t=Le,behavior:n="auto"}=e;if(!t)return{x:oe(0),y:oe(0)};const r=oe(t.scrollX),s=oe(t.scrollY),o=se({get(){return r.value},set(l){scrollTo({left:l,behavior:n})}}),i=se({get(){return s.value},set(l){scrollTo({top:l,behavior:n})}});return xt(t,"scroll",()=>{r.value=t.scrollX,s.value=t.scrollY},{capture:!1,passive:!0}),{x:o,y:i}}function Hu(e={}){const{window:t=Le,initialWidth:n=Number.POSITIVE_INFINITY,initialHeight:r=Number.POSITIVE_INFINITY,listenOrientation:s=!0,includeScrollbar:o=!0}=e,i=oe(n),l=oe(r),c=()=>{t&&(o?(i.value=t.innerWidth,l.value=t.innerHeight):(i.value=t.document.documentElement.clientWidth,l.value=t.document.documentElement.clientHeight))};if(c(),Kr(c),xt("resize",c,{passive:!0}),s){const u=vi("(orientation: portrait)");Fe(u,()=>c())}return{width:i,height:l}}var tr={BASE_URL:"/c/",MODE:"production",DEV:!1,PROD:!0,SSR:!1},nr={};const Si=/^(?:[a-z]+:|\/\/)/i,Fa="vitepress-theme-appearance",$a=/#.*$/,Ha=/[?#].*$/,ja=/(?:(^|\/)index)?\.(?:md|html)$/,he=typeof document<"u",xi={relativePath:"404.md",filePath:"",title:"404",description:"Not Found",headers:[],frontmatter:{sidebar:!1,layout:"page"},lastUpdated:0,isNotFound:!0};function Va(e,t,n=!1){if(t===void 0)return!1;if(e=Ws(`/${e}`),n)return new RegExp(t).test(e);if(Ws(t)!==e)return!1;const r=t.match($a);return r?(he?location.hash:"")===r[0]:!0}function Ws(e){return decodeURI(e).replace(Ha,"").replace(ja,"$1")}function Da(e){return Si.test(e)}function Ua(e,t){return Object.keys((e==null?void 0:e.locales)||{}).find(n=>n!=="root"&&!Da(n)&&Va(t,`/${n}/`,!0))||"root"}function Ba(e,t){var r,s,o,i,l,c,u;const n=Ua(e,t);return Object.assign({},e,{localeIndex:n,lang:((r=e.locales[n])==null?void 0:r.lang)??e.lang,dir:((s=e.locales[n])==null?void 0:s.dir)??e.dir,title:((o=e.locales[n])==null?void 0:o.title)??e.title,titleTemplate:((i=e.locales[n])==null?void 0:i.titleTemplate)??e.titleTemplate,description:((l=e.locales[n])==null?void 0:l.description)??e.description,head:Ai(e.head,((c=e.locales[n])==null?void 0:c.head)??[]),themeConfig:{...e.themeConfig,...(u=e.locales[n])==null?void 0:u.themeConfig}})}function Ti(e,t){const n=t.title||e.title,r=t.titleTemplate??e.titleTemplate;if(typeof r=="string"&&r.includes(":title"))return r.replace(/:title/g,n);const s=ka(e.title,r);return n===s.slice(3)?n:`${n}${s}`}function ka(e,t){return t===!1?"":t===!0||t===void 0?` | ${e}`:e===t?"":` | ${t}`}function Ka(e,t){const[n,r]=t;if(n!=="meta")return!1;const s=Object.entries(r)[0];return s==null?!1:e.some(([o,i])=>o===n&&i[s[0]]===s[1])}function Ai(e,t){return[...e.filter(n=>!Ka(t,n)),...t]}const Wa=/[\u0000-\u001F"#$&*+,:;<=>?[\]^`{|}\u007F]/g,qa=/^[a-z]:/i;function qs(e){const t=qa.exec(e),n=t?t[0]:"";return n+e.slice(n.length).replace(Wa,"_").replace(/(^|\/)_+(?=[^/]*$)/,"$1")}const rr=new Set;function Ga(e){if(rr.size===0){const n=typeof process=="object"&&(nr==null?void 0:nr.VITE_EXTRA_EXTENSIONS)||(tr==null?void 0:tr.VITE_EXTRA_EXTENSIONS)||"";("3g2,3gp,aac,ai,apng,au,avif,bin,bmp,cer,class,conf,crl,css,csv,dll,doc,eps,epub,exe,gif,gz,ics,ief,jar,jpe,jpeg,jpg,js,json,jsonld,m4a,man,mid,midi,mjs,mov,mp2,mp3,mp4,mpe,mpeg,mpg,mpp,oga,ogg,ogv,ogx,opus,otf,p10,p7c,p7m,p7s,pdf,png,ps,qt,roff,rtf,rtx,ser,svg,t,tif,tiff,tr,ts,tsv,ttf,txt,vtt,wav,weba,webm,webp,woff,woff2,xhtml,xml,yaml,yml,zip"+(n&&typeof n=="string"?","+n:"")).split(",").forEach(r=>rr.add(r))}const t=e.split(".").pop();return t==null||!rr.has(t.toLowerCase())}function ju(e){return e.replace(/[|\\{}()[\]^$+*?.]/g,"\\$&").replace(/-/g,"\\x2d")}const Xa=Symbol(),ft=Fr(ma);function Vu(e){const t=se(()=>Ba(ft.value,e.data.relativePath)),n=t.value.appearance,r=n==="force-dark"?oe(!0):n?Pa({storageKey:Fa,initialValue:()=>n==="dark"?"dark":"auto",...typeof n=="object"?n:{}}):oe(!1),s=oe(he?location.hash:"");return he&&window.addEventListener("hashchange",()=>{s.value=location.hash}),Fe(()=>e.data,()=>{s.value=he?location.hash:""}),{site:t,theme:se(()=>t.value.themeConfig),page:se(()=>e.data),frontmatter:se(()=>e.data.frontmatter),params:se(()=>e.data.params),lang:se(()=>t.value.lang),dir:se(()=>e.data.frontmatter.dir||t.value.dir),localeIndex:se(()=>t.value.localeIndex||"root"),title:se(()=>Ti(t.value,e.data)),description:se(()=>e.data.description||t.value.description),isDark:r,hash:se(()=>s.value)}}function Ya(){const e=Ct(Xa);if(!e)throw new Error("vitepress data not properly injected in app");return e}function za(e,t){return`${e}${t}`.replace(/\/+/g,"/")}function Gs(e){return Si.test(e)||!e.startsWith("/")?e:za(ft.value.base,e)}function Ja(e){let t=e.replace(/\.html$/,"");if(t=decodeURIComponent(t),t=t.replace(/\/$/,"/index"),he){const n="/c/";t=qs(t.slice(n.length).replace(/\//g,"_")||"index")+".md";let r=__VP_HASH_MAP__[t.toLowerCase()];if(r||(t=t.endsWith("_index.md")?t.slice(0,-9)+".md":t.slice(0,-3)+"_index.md",r=__VP_HASH_MAP__[t.toLowerCase()]),!r)return null;t=`${n}assets/${t}.${r}.js`}else t=`./${qs(t.slice(1).replace(/\//g,"_"))}.md.js`;return t}let mn=[];function Du(e){mn.push(e),Fn(()=>{mn=mn.filter(t=>t!==e)})}function Qa(){let e=ft.value.scrollOffset,t=0,n=24;if(typeof e=="object"&&"padding"in e&&(n=e.padding,e=e.selector),typeof e=="number")t=e;else if(typeof e=="string")t=Xs(e,n);else if(Array.isArray(e))for(const r of e){const s=Xs(r,n);if(s){t=s;break}}return t}function Xs(e,t){const n=document.querySelector(e);if(!n)return 0;const r=n.getBoundingClientRect().bottom;return r<0?0:r+t}const Za=Symbol(),Ri="http://a.com",eu=()=>({path:"/",component:null,data:xi});function Uu(e,t){const n=On(eu()),r={route:n,go:s};async function s(l=he?location.href:"/"){var c,u;l=sr(l),await((c=r.onBeforeRouteChange)==null?void 0:c.call(r,l))!==!1&&(he&&l!==sr(location.href)&&(history.replaceState({scrollPosition:window.scrollY},""),history.pushState({},"",l)),await i(l),await((u=r.onAfterRouteChanged)==null?void 0:u.call(r,l)))}let o=null;async function i(l,c=0,u=!1){var m;if(await((m=r.onBeforePageLoad)==null?void 0:m.call(r,l))===!1)return;const f=new URL(l,Ri),h=o=f.pathname;try{let v=await e(h);if(!v)throw new Error(`Page not found: ${h}`);if(o===h){o=null;const{default:S,__pageData:O}=v;if(!S)throw new Error(`Invalid route component: ${S}`);n.path=he?h:Gs(h),n.component=hn(S),n.data=hn(O),he&&Mn(()=>{let k=ft.value.base+O.relativePath.replace(/(?:(^|\/)index)?\.md$/,"$1");if(!ft.value.cleanUrls&&!k.endsWith("/")&&(k+=".html"),k!==f.pathname&&(f.pathname=k,l=k+f.search+f.hash,history.replaceState({},"",l)),f.hash&&!c){let W=null;try{W=document.getElementById(decodeURIComponent(f.hash).slice(1))}catch(D){console.warn(D)}if(W){Ys(W,f.hash);return}}window.scrollTo(0,c)})}}catch(v){if(!/fetch|Page not found/.test(v.message)&&!/^\/404(\.html|\/)?$/.test(l)&&console.error(v),!u)try{const S=await fetch(ft.value.base+"hashmap.json");window.__VP_HASH_MAP__=await S.json(),await i(l,c,!0);return}catch{}if(o===h){o=null,n.path=he?h:Gs(h),n.component=t?hn(t):null;const S=he?h.replace(/(^|\/)$/,"$1index").replace(/(\.html)?$/,".md").replace(/^\//,""):"404.md";n.data={...xi,relativePath:S}}}}return he&&(history.state===null&&history.replaceState({},""),window.addEventListener("click",l=>{if(l.defaultPrevented||!(l.target instanceof Element)||l.target.closest("button")||l.button!==0||l.ctrlKey||l.shiftKey||l.altKey||l.metaKey)return;const c=l.target.closest("a");if(!c||c.closest(".vp-raw")||c.hasAttribute("download")||c.hasAttribute("target"))return;const u=c.getAttribute("href")??(c instanceof SVGAElement?c.getAttribute("xlink:href"):null);if(u==null)return;const{href:f,origin:h,pathname:m,hash:v,search:S}=new URL(u,c.baseURI),O=new URL(location.href);h===O.origin&&Ga(m)&&(l.preventDefault(),m===O.pathname&&S===O.search?(v!==O.hash&&(history.pushState({},"",f),window.dispatchEvent(new HashChangeEvent("hashchange",{oldURL:O.href,newURL:f}))),v?Ys(c,v,c.classList.contains("header-anchor")):window.scrollTo(0,0)):s(f))},{capture:!0}),window.addEventListener("popstate",async l=>{var c;l.state!==null&&(await i(sr(location.href),l.state&&l.state.scrollPosition||0),(c=r.onAfterRouteChanged)==null||c.call(r,location.href))}),window.addEventListener("hashchange",l=>{l.preventDefault()})),r}function tu(){const e=Ct(Za);if(!e)throw new Error("useRouter() is called without provider.");return e}function Oi(){return tu().route}function Ys(e,t,n=!1){let r=null;try{r=e.classList.contains("header-anchor")?e:document.getElementById(decodeURIComponent(t).slice(1))}catch(s){console.warn(s)}if(r){let s=function(){!n||Math.abs(i-window.scrollY)>window.innerHeight?window.scrollTo(0,i):window.scrollTo({left:0,top:i,behavior:"smooth"})};const o=parseInt(window.getComputedStyle(r).paddingTop,10),i=window.scrollY+r.getBoundingClientRect().top-Qa()+o;requestAnimationFrame(s)}}function sr(e){const t=new URL(e,Ri);return t.pathname=t.pathname.replace(/(^|\/)index(\.html)?$/,"$1"),ft.value.cleanUrls?t.pathname=t.pathname.replace(/\.html$/,""):!t.pathname.endsWith("/")&&!t.pathname.endsWith(".html")&&(t.pathname+=".html"),t.pathname+t.search+t.hash}const or=()=>mn.forEach(e=>e()),Bu=Hr({name:"VitePressContent",props:{as:{type:[Object,String],default:"div"}},setup(e){const t=Oi(),{site:n}=Ya();return()=>vr(e.as,n.value.contentProps??{style:{position:"relative"}},[t.component?vr(t.component,{onVnodeMounted:or,onVnodeUpdated:or,onVnodeUnmounted:or}):"404 Page Not Found"])}}),ku=Hr({setup(e,{slots:t}){const n=oe(!1);return Tt(()=>{n.value=!0}),()=>n.value&&t.default?t.default():null}});function Ku(){he&&window.addEventListener("click",e=>{var n;const t=e.target;if(t.matches(".vp-code-group input")){const r=(n=t.parentElement)==null?void 0:n.parentElement;if(!r)return;const s=Array.from(r.querySelectorAll("input")).indexOf(t);if(s<0)return;const o=r.querySelector(".blocks");if(!o)return;const i=Array.from(o.children).find(u=>u.classList.contains("active"));if(!i)return;const l=o.children[s];if(!l||i===l)return;i.classList.remove("active"),l.classList.add("active");const c=r==null?void 0:r.querySelector(`label[for="${t.id}"]`);c==null||c.scrollIntoView({block:"nearest"})}})}function Wu(){if(he){const e=new WeakMap;window.addEventListener("click",t=>{var r;const n=t.target;if(n.matches('div[class*="language-"] > button.copy')){const s=n.parentElement,o=(r=n.nextElementSibling)==null?void 0:r.nextElementSibling;if(!s||!o)return;const i=/language-(shellscript|shell|bash|sh|zsh)/.test(s.className),l=[".vp-copy-ignore",".diff.remove"],c=o.cloneNode(!0);c.querySelectorAll(l.join(",")).forEach(f=>f.remove());let u=c.textContent||"";i&&(u=u.replace(/^ *(\$|>) /gm,"").trim()),nu(u).then(()=>{n.classList.add("copied"),clearTimeout(e.get(n));const f=setTimeout(()=>{n.classList.remove("copied"),n.blur(),e.delete(n)},2e3);e.set(n,f)})}})}}async function nu(e){try{return navigator.clipboard.writeText(e)}catch{const t=document.createElement("textarea"),n=document.activeElement;t.value=e,t.setAttribute("readonly",""),t.style.contain="strict",t.style.position="absolute",t.style.left="-9999px",t.style.fontSize="12pt";const r=document.getSelection(),s=r?r.rangeCount>0&&r.getRangeAt(0):null;document.body.appendChild(t),t.select(),t.selectionStart=0,t.selectionEnd=e.length,document.execCommand("copy"),document.body.removeChild(t),s&&(r.removeAllRanges(),r.addRange(s)),n&&n.focus()}}function qu(e,t){let n=!0,r=[];const s=o=>{if(n){n=!1,o.forEach(l=>{const c=ir(l);for(const u of document.head.children)if(u.isEqualNode(c)){r.push(u);return}});return}const i=o.map(ir);r.forEach((l,c)=>{const u=i.findIndex(f=>f==null?void 0:f.isEqualNode(l??null));u!==-1?delete i[u]:(l==null||l.remove(),delete r[c])}),i.forEach(l=>l&&document.head.appendChild(l)),r=[...r,...i].filter(Boolean)};Ur(()=>{const o=e.data,i=t.value,l=o&&o.description,c=o&&o.frontmatter.head||[],u=Ti(i,o);u!==document.title&&(document.title=u);const f=l||i.description;let h=document.querySelector("meta[name=description]");h?h.getAttribute("content")!==f&&h.setAttribute("content",f):ir(["meta",{name:"description",content:f}]),s(Ai(i.head,su(c)))})}function ir([e,t,n]){const r=document.createElement(e);for(const s in t)r.setAttribute(s,t[s]);return n&&(r.innerHTML=n),e==="script"&&!t.async&&(r.async=!1),r}function ru(e){return e[0]==="meta"&&e[1]&&e[1].name==="description"}function su(e){return e.filter(t=>!ru(t))}const lr=new Set,Li=()=>document.createElement("link"),ou=e=>{const t=Li();t.rel="prefetch",t.href=e,document.head.appendChild(t)},iu=e=>{const t=new XMLHttpRequest;t.open("GET",e,t.withCredentials=!0),t.send()};let un;const lu=he&&(un=Li())&&un.relList&&un.relList.supports&&un.relList.supports("prefetch")?ou:iu;function Gu(){if(!he||!window.IntersectionObserver)return;let e;if((e=navigator.connection)&&(e.saveData||/2g/.test(e.effectiveType)))return;const t=window.requestIdleCallback||setTimeout;let n=null;const r=()=>{n&&n.disconnect(),n=new IntersectionObserver(o=>{o.forEach(i=>{if(i.isIntersecting){const l=i.target;n.unobserve(l);const{pathname:c}=l;if(!lr.has(c)){lr.add(c);const u=Ja(c);u&&lu(u)}}})}),t(()=>{document.querySelectorAll("#app a").forEach(o=>{const{hostname:i,pathname:l}=new URL(o.href instanceof SVGAnimatedString?o.href.animVal:o.href,o.baseURI),c=l.match(/\.\w+$/);c&&c[0]!==".html"||o.target!=="_blank"&&i===location.hostname&&(l!==location.pathname?n.observe(o):lr.add(l))})})};Tt(r);const s=Oi();Fe(()=>s.path,r),Fn(()=>{n&&n.disconnect()})}export{xu as $,bu as A,Vl as B,Qa as C,du as D,pu as E,_e as F,Fr as G,Du as H,le as I,hu as J,Si as K,Oi as L,Rc as M,Ct as N,Hu as O,xr as P,Iu as Q,Mn as R,$u as S,ui as T,he as U,Ln as V,fu as W,Ou as X,Nu as Y,Zl as Z,Ru as _,ii as a,mu as a0,Mo as a1,Su as a2,yu as a3,Tu as a4,vr as a5,wu as a6,qu as a7,Za as a8,Vu as a9,Xa as aa,Bu as ab,ku as ac,ft as ad,Au as ae,Uu as af,Ja as ag,Gu as ah,Wu as ai,Ku as aj,bi as ak,kr as al,Mu as am,Fu as an,Pu as ao,Lu as ap,tu as aq,xt as ar,uu as as,Cu as at,de as au,_u as av,hn as aw,ju as ax,ri as b,vu as c,Hr as d,Eu as e,Ga as f,Gs as g,se as h,Da as i,oi as j,wo as k,au as l,Va as m,Tr as n,ti as o,cu as p,vi as q,gu as r,oe as s,Wi as t,Ya as u,Fe as v,Ll as w,Ur as x,Tt as y,Fn as z};
--- a/assets/chunks/theme.CJXJMEf1.js
+++ b/assets/chunks/theme.CJXJMEf1.js
--- a/assets/chunks/theme.DpGvkbEa.js
+++ b/assets/chunks/theme.DpGvkbEa.js
--- a/assets/index.md.D0m5RaG6.js
+++ b/assets/index.md.D0m5RaG6.js
@ -1 +1 @@
-import{_ as t,c as e,o as a}from"./chunks/framework.BE8if9e6.js";const c=JSON.parse('{"title":"许大仙的博客","titleTemplate":"Hi，终于等到你","description":"许大仙前端、Java、大数据、云原生","frontmatter":{"layout":"home","home":true,"title":"许大仙的博客","titleTemplate":"Hi，终于等到你","editLink":true,"lastUpdated":true,"head":[["meta",{"name":"description","content":"许大仙前端、Java、大数据、云原生"}],["meta",{"name":"keywords","content":"许大仙,许大仙的博客"}]],"hero":{"name":"许大仙同学","text":"","tagline":"『这个世纪疯狂，没人性，腐败；你却一直清醒，温柔，一尘不染。』","actions":[{"theme":"brand","text":"首页","link":"https://aexiar.github.io"},{"theme":"alt","text":"计组6件套","link":"https://aexiar.github.io/coa6/notes/"},{"theme":"alt","text":"c/c++","link":"/notes/"},{"theme":"alt","text":"前端","link":"https://aexiar.github.io/web-design/notes/"},{"theme":"alt","text":"Java","link":"https://aexiar.github.io/java/notes/"},{"theme":"alt","text":"大数据","link":"https://aexiar.github.io/big-data/notes/"},{"theme":"alt","text":"云原生","link":"https://aexiar.github.io/linux/notes/"}]},"features":[{"title":"学习思路","details":"学习思路就这么几条：模仿、遍历、分治、动态规划、……"},{"title":"学习手法","details":"学习手法就这么几种：缓存、索引、信号/事件、回调/消息循环/dispatcher、……"},{"title":"注意事项","details":"注意事项就这么几点：边界值、等价类、数据完整性原子性、死锁、空转、……"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":1720687878000}'),i={name:"index.md"};function n(o,s,l,r,d,h){return a(),e("div")}const p=t(i,[["render",n]]);export{c as __pageData,p as default};
+import{_ as t,c as e,o as a}from"./chunks/framework.CZKtKhAm.js";const c=JSON.parse('{"title":"许大仙的博客","titleTemplate":"Hi，终于等到你","description":"许大仙前端、Java、大数据、云原生","frontmatter":{"layout":"home","home":true,"title":"许大仙的博客","titleTemplate":"Hi，终于等到你","editLink":true,"lastUpdated":true,"head":[["meta",{"name":"description","content":"许大仙前端、Java、大数据、云原生"}],["meta",{"name":"keywords","content":"许大仙,许大仙的博客"}]],"hero":{"name":"许大仙同学","text":"","tagline":"『这个世纪疯狂，没人性，腐败；你却一直清醒，温柔，一尘不染。』","actions":[{"theme":"brand","text":"首页","link":"https://aexiar.github.io"},{"theme":"alt","text":"计组6件套","link":"https://aexiar.github.io/coa6/notes/"},{"theme":"alt","text":"c/c++","link":"/notes/"},{"theme":"alt","text":"前端","link":"https://aexiar.github.io/web-design/notes/"},{"theme":"alt","text":"Java","link":"https://aexiar.github.io/java/notes/"},{"theme":"alt","text":"大数据","link":"https://aexiar.github.io/big-data/notes/"},{"theme":"alt","text":"云原生","link":"https://aexiar.github.io/linux/notes/"}]},"features":[{"title":"学习思路","details":"学习思路就这么几条：模仿、遍历、分治、动态规划、……"},{"title":"学习手法","details":"学习手法就这么几种：缓存、索引、信号/事件、回调/消息循环/dispatcher、……"},{"title":"注意事项","details":"注意事项就这么几点：边界值、等价类、数据完整性原子性、死锁、空转、……"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":1720687878000}'),i={name:"index.md"};function n(o,s,l,r,d,h){return a(),e("div")}const p=t(i,[["render",n]]);export{c as __pageData,p as default};
--- a/assets/index.md.D0m5RaG6.lean.js
+++ b/assets/index.md.D0m5RaG6.lean.js
@ -1 +1 @@
-import{_ as t,c as e,o as a}from"./chunks/framework.BE8if9e6.js";const c=JSON.parse('{"title":"许大仙的博客","titleTemplate":"Hi，终于等到你","description":"许大仙前端、Java、大数据、云原生","frontmatter":{"layout":"home","home":true,"title":"许大仙的博客","titleTemplate":"Hi，终于等到你","editLink":true,"lastUpdated":true,"head":[["meta",{"name":"description","content":"许大仙前端、Java、大数据、云原生"}],["meta",{"name":"keywords","content":"许大仙,许大仙的博客"}]],"hero":{"name":"许大仙同学","text":"","tagline":"『这个世纪疯狂，没人性，腐败；你却一直清醒，温柔，一尘不染。』","actions":[{"theme":"brand","text":"首页","link":"https://aexiar.github.io"},{"theme":"alt","text":"计组6件套","link":"https://aexiar.github.io/coa6/notes/"},{"theme":"alt","text":"c/c++","link":"/notes/"},{"theme":"alt","text":"前端","link":"https://aexiar.github.io/web-design/notes/"},{"theme":"alt","text":"Java","link":"https://aexiar.github.io/java/notes/"},{"theme":"alt","text":"大数据","link":"https://aexiar.github.io/big-data/notes/"},{"theme":"alt","text":"云原生","link":"https://aexiar.github.io/linux/notes/"}]},"features":[{"title":"学习思路","details":"学习思路就这么几条：模仿、遍历、分治、动态规划、……"},{"title":"学习手法","details":"学习手法就这么几种：缓存、索引、信号/事件、回调/消息循环/dispatcher、……"},{"title":"注意事项","details":"注意事项就这么几点：边界值、等价类、数据完整性原子性、死锁、空转、……"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":1720687878000}'),i={name:"index.md"};function n(o,s,l,r,d,h){return a(),e("div")}const p=t(i,[["render",n]]);export{c as __pageData,p as default};
+import{_ as t,c as e,o as a}from"./chunks/framework.CZKtKhAm.js";const c=JSON.parse('{"title":"许大仙的博客","titleTemplate":"Hi，终于等到你","description":"许大仙前端、Java、大数据、云原生","frontmatter":{"layout":"home","home":true,"title":"许大仙的博客","titleTemplate":"Hi，终于等到你","editLink":true,"lastUpdated":true,"head":[["meta",{"name":"description","content":"许大仙前端、Java、大数据、云原生"}],["meta",{"name":"keywords","content":"许大仙,许大仙的博客"}]],"hero":{"name":"许大仙同学","text":"","tagline":"『这个世纪疯狂，没人性，腐败；你却一直清醒，温柔，一尘不染。』","actions":[{"theme":"brand","text":"首页","link":"https://aexiar.github.io"},{"theme":"alt","text":"计组6件套","link":"https://aexiar.github.io/coa6/notes/"},{"theme":"alt","text":"c/c++","link":"/notes/"},{"theme":"alt","text":"前端","link":"https://aexiar.github.io/web-design/notes/"},{"theme":"alt","text":"Java","link":"https://aexiar.github.io/java/notes/"},{"theme":"alt","text":"大数据","link":"https://aexiar.github.io/big-data/notes/"},{"theme":"alt","text":"云原生","link":"https://aexiar.github.io/linux/notes/"}]},"features":[{"title":"学习思路","details":"学习思路就这么几条：模仿、遍历、分治、动态规划、……"},{"title":"学习手法","details":"学习手法就这么几种：缓存、索引、信号/事件、回调/消息循环/dispatcher、……"},{"title":"注意事项","details":"注意事项就这么几点：边界值、等价类、数据完整性原子性、死锁、空转、……"}]},"headers":[],"relativePath":"index.md","filePath":"index.md","lastUpdated":1720687878000}'),i={name:"index.md"};function n(o,s,l,r,d,h){return a(),e("div")}const p=t(i,[["render",n]]);export{c as __pageData,p as default};
--- a/assets/notes_01_c-basic_01_xdx_index.md.7lTzv-1j.js
+++ b/assets/notes_01_c-basic_01_xdx_index.md.7lTzv-1j.js
@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a5 as n}from"./chunks/framework.BE8if9e6.js";const l="/c/assets/1.D4a42fT1.jpg",e="/c/assets/2.D2wnxl5F.png",t="/c/assets/3.Dq625oo9.jpg",p="/c/assets/4.uqu1DEK4.png",r="/c/assets/5.C6Q0Q8kf.jpg",c="/c/assets/6.B4Srsb-0.png",h="/c/assets/7._D_c8Lrn.png",d="/c/assets/8.DlIyFGDg.png",o="/c/assets/9.7zkUmpQw.png",k="/c/assets/10.h1ugtjyX.png",u="/c/assets/11.D5PWTabw.png",g="/c/assets/12.Bvs6QYjl.jpg",b="/c/assets/9.7zkUmpQw.png",m="/c/assets/14.CsR5exrN.png",E="/c/assets/15.BRG9GQdT.png",y="/c/assets/16.C2sciGZn.png",C="/c/assets/17.DdyXXyxJ.png",F="/c/assets/18.DIeb_KXW.png",_="/c/assets/19.C-kvMz2p.png",v="/c/assets/20.CQqFxmDa.png",A="/c/assets/21.CjMWyIiX.png",f="/c/assets/22.DFQhcDgs.png",x="/c/assets/23.Cco1vsW8.png",B="/c/assets/24.D60Zf6_d.png",D="/c/assets/25.D2-G6nV2.png",q="/c/assets/26.DpzkVk5V.png",w="/c/assets/27.BXk95GIP.png",S="/c/assets/28.CbWTB08W.png",P="/c/assets/29.twO9TCIg.png",L="/c/assets/30.CKOjeIvS.png",W="/c/assets/31.DKmR0CxE.png",T="/c/assets/32.Cudf77_s.gif",I="/c/assets/33.BBUUlhRC.png",O="/c/assets/34.iLABkB7O.png",M="/c/assets/35.BQuYWOU9.png",N="/c/assets/36.CslpH6j0.png",U="/c/assets/37.BAyvZdKq.png",R="/c/assets/38.C3oC1iUd.png",G="/c/assets/39.Ds-jsEZn.png",H="/c/assets/40.Cd37gMYs.png",V="/c/assets/41.CAw2z3gc.png",X="/c/assets/42.DdPThnr-.png",K="/c/assets/43.q_rvlDnY.png",Q="/c/assets/44.JRHg9RZA.png",j="/c/assets/45.Baq-Hb06.png",J="/c/assets/46.c1ht53mu.png",$="/c/assets/47.CAZmH5Py.png",Y="/c/assets/48.DWeCYBe9.png",z="/c/assets/49.2XM8pYni.png",Z="/c/assets/50.CN0t-fuo.png",ss="/c/assets/51.AcDh3LXQ.png",is="/c/assets/52.CUkDFAc6.png",as="/c/assets/53.picNTNaJ.png",ns="/c/assets/54.DKX92RgJ.png",ls="/c/assets/55.Bxr7QKI3.png",es="/c/assets/56.DuFWsOgW.png",ts="/c/assets/57.Da9qUcfr.png",ps="/c/assets/58.7_gEABSX.gif",rs="/c/assets/59.C2KQYoVC.gif",cs="/c/assets/60.RTUP8Vtx.png",hs="/c/assets/61.Dq21DxwL.png",ds="/c/assets/62.QmpUaNxU.png",os="/c/assets/63.DP0C29gZ.png",ks="/c/assets/64.DwzHokd4.png",us="/c/assets/65.Bi6K26yA.png",gs="/c/assets/66.Bw8DcEQ_.png",bs="/c/assets/67.DPc8Z9rS.png",ms="/c/assets/68.S84xHMTl.png",Es="/c/assets/69.iw3JQUkn.png",ys="/c/assets/70.ILeJt-HK.png",Cs="/c/assets/71.CHgm7khh.png",Fs="/c/assets/72.N1nqJaEg.png",_s="/c/assets/73.DHsnibMi.png",vs="/c/assets/74.BQr6Q0uV.png",As="/c/assets/75.BVemi2Lh.png",fs="/c/assets/76.BHR69UXx.png",xs="/c/assets/77.CPSU5SJI.png",Bs="/c/assets/78.CaQLoDlw.png",Ds="/c/assets/79.aRGy4XbL.png",qs="/c/assets/80.kNO9fmPR.png",ws="/c/assets/81.D4EkoC4o.png",Ss="/c/assets/82.V23Lo9e_.png",Ps="/c/assets/83.Du9LVeMB.png",Ls="/c/assets/84.DdFg75U9.png",Ws="/c/assets/85.C6bz6KtT.png",Ts="/c/assets/86.CB6LAhB5.png",Is="/c/assets/87.Bip8bkua.png",Os="/c/assets/88.DRNHRduW.png",Ms="/c/assets/89.Cth4qqEn.png",Ns="/c/assets/90.DWGWZ64P.png",Us="/c/assets/91.3hDIDdvx.png",Rs="/c/assets/92.Bw_dQ4ap.png",Gs="/c/assets/93.Cn_ubTyA.png",Hs="/c/assets/94.C84EBqwB.png",Vs="/c/assets/95.dZfJY4eR.png",Xs="/c/assets/96.B0zm0Z79.png",Ks="/c/assets/97.CaTcEy1Q.png",Qs="/c/assets/98.iEc8mo9g.png",js="/c/assets/99.Co2KxM6t.png",Js="/c/assets/100.CaUm8Qhc.png",$s="/c/assets/101.kOkqIKG6.png",Ys="/c/assets/102.CyeASH-c.png",zs="/c/assets/103.CFdk60La.png",Zs="/c/assets/104.Bhl-0uK_.png",si="/c/assets/105.Dni9KbXV.png",ii="/c/assets/106.BXx10MCV.png",ai="/c/assets/107.CXcIKX1T.png",ni="/c/assets/108.CQ3_QCQT.png",li="/c/assets/109.CQoDRJM5.gif",ei="/c/assets/110.CPfwZvD9.gif",ti="/c/assets/111.bxEomEjU.gif",pi="/c/assets/112.C_onhf2k.png",ri="/c/assets/113.Budj3s38.gif",ci="/c/assets/114.CH8koQdu.gif",hi="/c/assets/115.kUJhxMtg.png",di="/c/assets/116.BJeJJW4_.png",oi="/c/assets/117.BCuK6eJL.gif",ki="/c/assets/118.rKC-z4z-.gif",ui="/c/assets/119.BJE3xxuT.gif",gi="/c/assets/120.DJOq__O0.gif",bi="/c/assets/121.BDt_0fRR.png",mi="/c/assets/122.Bo5OawW8.png",Ei="/c/assets/123.sUWUfl5e.png",yi="/c/assets/124.BK4jpnB8.png",Ci="/c/assets/125.EF8vdbSq.png",Fi="/c/assets/126.DjxdA_Co.png",_i="/c/assets/127.sp68q1hh.gif",vi="/c/assets/128.DhMRyxNN.gif",Ai="/c/assets/129.CdcLZM0R.gif",fi="/c/assets/130.D-5AsTTr.png",xi="/c/assets/131.2RQKmAUa.png",Bi="/c/assets/132.CI4xX8SM.png",Di="/c/assets/133.C8QUZ9v3.gif",qi="/c/assets/134.g5tQfhWz.gif",wi="/c/assets/135.CX0_1NsE.gif",Si="/c/assets/136.BrFJeoK6.png",Pi="/c/assets/137.58TjSSjH.gif",Li="/c/assets/138.CgqNV2hL.png",Wi="/c/assets/139.BasYWvkM.png",Ti="/c/assets/140.CjFxJpBr.png",Ii="/c/assets/141.Dm5Jspvp.gif",Oi="/c/assets/142.1krCh8cy.gif",Mi="/c/assets/143.DOSyahv7.gif",Ni="/c/assets/144.BHEvX_FI.gif",Ui="/c/assets/145.DFA0g1_d.gif",Ri="/c/assets/146.D50nO5eA.gif",Gi="/c/assets/147.cAvG1Qfq.png",Hi="/c/assets/148.DpakQFWz.gif",Vi="/c/assets/149.Bg61j9QI.gif",Xi="/c/assets/150.DPvD9UCw.gif",Ki="/c/assets/151.Ceu65U_n.gif",Qi="/c/assets/152.BWPFRK_8.gif",ji="/c/assets/153.Ct4TfxPf.gif",Ji="/c/assets/154.zsKtx_jV.png",$i="/c/assets/155.3oqDAW0w.png",Yi="/c/assets/156.D9TSeAa9.gif",zi="/c/assets/157.CCRgYIVq.png",Zi="/c/assets/158.C1t2T6FV.gif",sa="/c/assets/159.Rqa4uHq6.png",ia="/c/assets/160.6yQYnjOa.gif",aa="/c/assets/161.hYR9GiiD.gif",na="/c/assets/162.D3b-QIrA.gif",la="/c/assets/163.DGbA6qsW.gif",ea="/c/assets/164.BToOkxf2.gif",ma=JSON.parse('{"title":"第一章：计算机组成原理","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/01_xdx/index.md","filePath":"notes/01_c-basic/01_xdx/index.md","lastUpdated":1720685105000}'),ta={name:"notes/01_c-basic/01_xdx/index.md"},pa=n('<h1 id="第一章-计算机组成原理" tabindex="-1">第一章：计算机组成原理 <a class="header-anchor" href="#第一章-计算机组成原理" aria-label="Permalink to &quot;第一章：计算机组成原理&quot;"></a></h1><h2 id="_1-1-计算机系统" tabindex="-1">1.1 计算机系统 <a class="header-anchor" href="#_1-1-计算机系统" aria-label="Permalink to &quot;1.1 计算机系统&quot;"></a></h2><ul><li>计算机（Computer），俗称<code>&quot;电脑&quot;</code>，是一种能够接收和存储信息，并按照存储在其内部的程序对海量的数据进行自动、高速的处理，然后将处理结果输出的现代化智能电子设备。</li><li>计算机有很多形式，如：台式电脑、笔记本电脑、智能手机、平板电脑等，还有生产环境中提供重要业务支撑的各种服务器。</li></ul><p><img src="'+l+'" alt=""></p><ul><li>一个完整的<code>计算机系统</code>由<code>硬件（Hardware）系统</code>和<code>软件（Software）系统</code>两大部分组成，即：</li></ul><p><img src="'+e+'" alt=""></p><h2 id="_1-2-冯·诺依曼体系结构" tabindex="-1">1.2 冯·诺依曼体系结构 <a class="header-anchor" href="#_1-2-冯·诺依曼体系结构" aria-label="Permalink to &quot;1.2 冯·诺依曼体系结构&quot;"></a></h2><ul><li><code>冯·诺依曼</code>是一位多才多艺的科学家，他在数学、物理学、计算机科学、经济学等领域都有杰出的贡献。</li></ul><p><img src="'+t+'" alt=""></p><ul><li><code>冯·诺依曼</code>的主要成就： <ul><li>在计算机科学领域的最著名贡献是提出了<code>冯·诺依曼</code>体系结构（1946 年），这是<code>现代计算机设计的基础</code>。</li><li>促进了计算机的可编程性和通用性，使得计算机能够执行各种复杂的任务。</li><li>对核武器设计、自动化控制系统、人工智能等领域的发展产生了重要影响。</li><li>……</li></ul></li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p><code>冯·诺依曼体系结构</code>是现代计算机（量子计算机除外）设计的<code>基础</code>。</p></div><ul><li><p><code>冯·诺依曼</code>体系结构的理论要点如下：</p><ul><li><p>① <strong>存储程序</strong>：<code>程序指令</code>和<code>数据</code>都存储在计算机的内存中，这使得程序可以在运行时修改。</p></li><li><p>② <strong>二进制逻辑</strong>：所有<code>数据</code>和<code>指令</code>都以<code>二进制</code>形式表示。</p></li><li><p>③ <strong>顺序执行</strong>：指令按照它们在内存中的顺序执行，但可以有条件地改变执行顺序。</p></li><li><p>④ <strong>五大部件</strong>：计算机由<code>运算器</code>、<code>控制器</code>、<code>存储器</code>、<code>输入设备</code>和<code>输出设备</code>组成。</p></li><li><p>⑤ <strong>指令结构</strong>：指令由操作码和地址码组成，操作码指示要执行的操作，地址码指示操作数的位置。</p></li><li><p>⑥ <strong>中心化控制</strong>：计算机的控制单元（CPU）负责解释和执行指令，控制数据流。</p></li></ul></li></ul><p><img src="'+p+'" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>上述的组件协同工作，构成了一个完整的计算机系统：</p><ul><li><strong>运算器</strong>和<strong>控制器</strong>通常被集成在一起，组成中央处理器（CPU），负责数据处理和指令执行。</li><li><strong>存储器</strong>保存数据和程序，是计算机运作的基础。</li><li><strong>输入设备</strong>和<strong>输出设备</strong>负责与外界的交互，确保用户能够输入信息并接收计算机的处理结果。</li></ul></div><h2 id="_1-3-各种硬件处理速度和性能优化" tabindex="-1">1.3 各种硬件处理速度和性能优化 <a class="header-anchor" href="#_1-3-各种硬件处理速度和性能优化" aria-label="Permalink to &quot;1.3 各种硬件处理速度和性能优化&quot;"></a></h2><ul><li>计算机的性能短板：如果 CPU 有每秒处理 1000 个服务请求的能力，各种总线的负载能力能达到 500 个， 但网卡只能接受 200个请求，而硬盘只能负担 150 个的话，那这台服务器得处理能力只能是 150 个请求/ 秒，有 85% 的处理器计算能力浪费了，在计算机系统当中，<code>硬盘</code>的读写速率已经成为影响系统性能进一 步提高的瓶颈。</li></ul><p><img src="'+r+'" alt="img"></p><ul><li>计算机的各个设备部件的延迟从高到低的排列，依次是机械硬盘（HDD）、固态硬盘（SSD）、内存、CPU 。</li></ul><p><img src="'+c+`" alt="img"></p><ul><li>从上图中，我们可以知道，CPU 是最快的，一个时钟周期是 0.3 ns ，内存访问需要 120 ns ，固态硬盘访问需要 50-150 us，传统的硬盘访问需要 1-10 ms，而网络访问是最慢，需要 40 ms 以上。</li><li>时间的单位换算如下：</li></ul><div class="language-txt vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">txt</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>1 秒 = 1000 毫秒，即 1 s = 1000 ms。</span></span>
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CZKtKhAm.js";const l="/c/assets/1.D4a42fT1.jpg",e="/c/assets/2.D2wnxl5F.png",t="/c/assets/3.Dq625oo9.jpg",p="/c/assets/4.uqu1DEK4.png",r="/c/assets/5.C6Q0Q8kf.jpg",c="/c/assets/6.B4Srsb-0.png",h="/c/assets/7._D_c8Lrn.png",d="/c/assets/8.DlIyFGDg.png",o="/c/assets/9.7zkUmpQw.png",k="/c/assets/10.h1ugtjyX.png",u="/c/assets/11.D5PWTabw.png",g="/c/assets/12.Bvs6QYjl.jpg",b="/c/assets/9.7zkUmpQw.png",m="/c/assets/14.CsR5exrN.png",E="/c/assets/15.BRG9GQdT.png",y="/c/assets/16.C2sciGZn.png",C="/c/assets/17.DdyXXyxJ.png",F="/c/assets/18.DIeb_KXW.png",_="/c/assets/19.C-kvMz2p.png",v="/c/assets/20.CQqFxmDa.png",A="/c/assets/21.CjMWyIiX.png",f="/c/assets/22.DFQhcDgs.png",x="/c/assets/23.Cco1vsW8.png",B="/c/assets/24.D60Zf6_d.png",D="/c/assets/25.D2-G6nV2.png",q="/c/assets/26.DpzkVk5V.png",w="/c/assets/27.BXk95GIP.png",S="/c/assets/28.CbWTB08W.png",P="/c/assets/29.twO9TCIg.png",L="/c/assets/30.CKOjeIvS.png",W="/c/assets/31.DKmR0CxE.png",T="/c/assets/32.Cudf77_s.gif",I="/c/assets/33.BBUUlhRC.png",O="/c/assets/34.iLABkB7O.png",M="/c/assets/35.BQuYWOU9.png",N="/c/assets/36.CslpH6j0.png",U="/c/assets/37.BAyvZdKq.png",R="/c/assets/38.C3oC1iUd.png",G="/c/assets/39.Ds-jsEZn.png",H="/c/assets/40.Cd37gMYs.png",V="/c/assets/41.CAw2z3gc.png",X="/c/assets/42.DdPThnr-.png",K="/c/assets/43.q_rvlDnY.png",Q="/c/assets/44.JRHg9RZA.png",j="/c/assets/45.Baq-Hb06.png",J="/c/assets/46.c1ht53mu.png",$="/c/assets/47.CAZmH5Py.png",Y="/c/assets/48.DWeCYBe9.png",z="/c/assets/49.2XM8pYni.png",Z="/c/assets/50.CN0t-fuo.png",ss="/c/assets/51.AcDh3LXQ.png",is="/c/assets/52.CUkDFAc6.png",as="/c/assets/53.picNTNaJ.png",ns="/c/assets/54.DKX92RgJ.png",ls="/c/assets/55.Bxr7QKI3.png",es="/c/assets/56.DuFWsOgW.png",ts="/c/assets/57.Da9qUcfr.png",ps="/c/assets/58.7_gEABSX.gif",rs="/c/assets/59.C2KQYoVC.gif",cs="/c/assets/60.RTUP8Vtx.png",hs="/c/assets/61.Dq21DxwL.png",ds="/c/assets/62.QmpUaNxU.png",os="/c/assets/63.DP0C29gZ.png",ks="/c/assets/64.DwzHokd4.png",us="/c/assets/65.Bi6K26yA.png",gs="/c/assets/66.Bw8DcEQ_.png",bs="/c/assets/67.DPc8Z9rS.png",ms="/c/assets/68.S84xHMTl.png",Es="/c/assets/69.iw3JQUkn.png",ys="/c/assets/70.ILeJt-HK.png",Cs="/c/assets/71.CHgm7khh.png",Fs="/c/assets/72.N1nqJaEg.png",_s="/c/assets/73.DHsnibMi.png",vs="/c/assets/74.BQr6Q0uV.png",As="/c/assets/75.BVemi2Lh.png",fs="/c/assets/76.BHR69UXx.png",xs="/c/assets/77.CPSU5SJI.png",Bs="/c/assets/78.CaQLoDlw.png",Ds="/c/assets/79.aRGy4XbL.png",qs="/c/assets/80.kNO9fmPR.png",ws="/c/assets/81.D4EkoC4o.png",Ss="/c/assets/82.V23Lo9e_.png",Ps="/c/assets/83.Du9LVeMB.png",Ls="/c/assets/84.DdFg75U9.png",Ws="/c/assets/85.C6bz6KtT.png",Ts="/c/assets/86.CB6LAhB5.png",Is="/c/assets/87.Bip8bkua.png",Os="/c/assets/88.DRNHRduW.png",Ms="/c/assets/89.Cth4qqEn.png",Ns="/c/assets/90.DWGWZ64P.png",Us="/c/assets/91.3hDIDdvx.png",Rs="/c/assets/92.Bw_dQ4ap.png",Gs="/c/assets/93.Cn_ubTyA.png",Hs="/c/assets/94.C84EBqwB.png",Vs="/c/assets/95.dZfJY4eR.png",Xs="/c/assets/96.B0zm0Z79.png",Ks="/c/assets/97.CaTcEy1Q.png",Qs="/c/assets/98.iEc8mo9g.png",js="/c/assets/99.Co2KxM6t.png",Js="/c/assets/100.CaUm8Qhc.png",$s="/c/assets/101.kOkqIKG6.png",Ys="/c/assets/102.CyeASH-c.png",zs="/c/assets/103.CFdk60La.png",Zs="/c/assets/104.Bhl-0uK_.png",si="/c/assets/105.Dni9KbXV.png",ii="/c/assets/106.BXx10MCV.png",ai="/c/assets/107.CXcIKX1T.png",ni="/c/assets/108.CQ3_QCQT.png",li="/c/assets/109.CQoDRJM5.gif",ei="/c/assets/110.CPfwZvD9.gif",ti="/c/assets/111.bxEomEjU.gif",pi="/c/assets/112.C_onhf2k.png",ri="/c/assets/113.Budj3s38.gif",ci="/c/assets/114.CH8koQdu.gif",hi="/c/assets/115.kUJhxMtg.png",di="/c/assets/116.BJeJJW4_.png",oi="/c/assets/117.BCuK6eJL.gif",ki="/c/assets/118.rKC-z4z-.gif",ui="/c/assets/119.BJE3xxuT.gif",gi="/c/assets/120.DJOq__O0.gif",bi="/c/assets/121.BDt_0fRR.png",mi="/c/assets/122.Bo5OawW8.png",Ei="/c/assets/123.sUWUfl5e.png",yi="/c/assets/124.BK4jpnB8.png",Ci="/c/assets/125.EF8vdbSq.png",Fi="/c/assets/126.DjxdA_Co.png",_i="/c/assets/127.sp68q1hh.gif",vi="/c/assets/128.DhMRyxNN.gif",Ai="/c/assets/129.CdcLZM0R.gif",fi="/c/assets/130.D-5AsTTr.png",xi="/c/assets/131.2RQKmAUa.png",Bi="/c/assets/132.CI4xX8SM.png",Di="/c/assets/133.C8QUZ9v3.gif",qi="/c/assets/134.g5tQfhWz.gif",wi="/c/assets/135.CX0_1NsE.gif",Si="/c/assets/136.BrFJeoK6.png",Pi="/c/assets/137.58TjSSjH.gif",Li="/c/assets/138.CgqNV2hL.png",Wi="/c/assets/139.BasYWvkM.png",Ti="/c/assets/140.CjFxJpBr.png",Ii="/c/assets/141.Dm5Jspvp.gif",Oi="/c/assets/142.1krCh8cy.gif",Mi="/c/assets/143.DOSyahv7.gif",Ni="/c/assets/144.BHEvX_FI.gif",Ui="/c/assets/145.DFA0g1_d.gif",Ri="/c/assets/146.D50nO5eA.gif",Gi="/c/assets/147.cAvG1Qfq.png",Hi="/c/assets/148.DpakQFWz.gif",Vi="/c/assets/149.Bg61j9QI.gif",Xi="/c/assets/150.DPvD9UCw.gif",Ki="/c/assets/151.Ceu65U_n.gif",Qi="/c/assets/152.BWPFRK_8.gif",ji="/c/assets/153.Ct4TfxPf.gif",Ji="/c/assets/154.zsKtx_jV.png",$i="/c/assets/155.3oqDAW0w.png",Yi="/c/assets/156.D9TSeAa9.gif",zi="/c/assets/157.CCRgYIVq.png",Zi="/c/assets/158.C1t2T6FV.gif",sa="/c/assets/159.Rqa4uHq6.png",ia="/c/assets/160.6yQYnjOa.gif",aa="/c/assets/161.hYR9GiiD.gif",na="/c/assets/162.D3b-QIrA.gif",la="/c/assets/163.DGbA6qsW.gif",ea="/c/assets/164.BToOkxf2.gif",ma=JSON.parse('{"title":"第一章：计算机组成原理","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/01_xdx/index.md","filePath":"notes/01_c-basic/01_xdx/index.md","lastUpdated":1720685105000}'),ta={name:"notes/01_c-basic/01_xdx/index.md"},pa=n('<h1 id="第一章-计算机组成原理" tabindex="-1">第一章：计算机组成原理 <a class="header-anchor" href="#第一章-计算机组成原理" aria-label="Permalink to &quot;第一章：计算机组成原理&quot;"></a></h1><h2 id="_1-1-计算机系统" tabindex="-1">1.1 计算机系统 <a class="header-anchor" href="#_1-1-计算机系统" aria-label="Permalink to &quot;1.1 计算机系统&quot;"></a></h2><ul><li>计算机（Computer），俗称<code>&quot;电脑&quot;</code>，是一种能够接收和存储信息，并按照存储在其内部的程序对海量的数据进行自动、高速的处理，然后将处理结果输出的现代化智能电子设备。</li><li>计算机有很多形式，如：台式电脑、笔记本电脑、智能手机、平板电脑等，还有生产环境中提供重要业务支撑的各种服务器。</li></ul><p><img src="'+l+'" alt=""></p><ul><li>一个完整的<code>计算机系统</code>由<code>硬件（Hardware）系统</code>和<code>软件（Software）系统</code>两大部分组成，即：</li></ul><p><img src="'+e+'" alt=""></p><h2 id="_1-2-冯·诺依曼体系结构" tabindex="-1">1.2 冯·诺依曼体系结构 <a class="header-anchor" href="#_1-2-冯·诺依曼体系结构" aria-label="Permalink to &quot;1.2 冯·诺依曼体系结构&quot;"></a></h2><ul><li><code>冯·诺依曼</code>是一位多才多艺的科学家，他在数学、物理学、计算机科学、经济学等领域都有杰出的贡献。</li></ul><p><img src="'+t+'" alt=""></p><ul><li><code>冯·诺依曼</code>的主要成就： <ul><li>在计算机科学领域的最著名贡献是提出了<code>冯·诺依曼</code>体系结构（1946 年），这是<code>现代计算机设计的基础</code>。</li><li>促进了计算机的可编程性和通用性，使得计算机能够执行各种复杂的任务。</li><li>对核武器设计、自动化控制系统、人工智能等领域的发展产生了重要影响。</li><li>……</li></ul></li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p><code>冯·诺依曼体系结构</code>是现代计算机（量子计算机除外）设计的<code>基础</code>。</p></div><ul><li><p><code>冯·诺依曼</code>体系结构的理论要点如下：</p><ul><li><p>① <strong>存储程序</strong>：<code>程序指令</code>和<code>数据</code>都存储在计算机的内存中，这使得程序可以在运行时修改。</p></li><li><p>② <strong>二进制逻辑</strong>：所有<code>数据</code>和<code>指令</code>都以<code>二进制</code>形式表示。</p></li><li><p>③ <strong>顺序执行</strong>：指令按照它们在内存中的顺序执行，但可以有条件地改变执行顺序。</p></li><li><p>④ <strong>五大部件</strong>：计算机由<code>运算器</code>、<code>控制器</code>、<code>存储器</code>、<code>输入设备</code>和<code>输出设备</code>组成。</p></li><li><p>⑤ <strong>指令结构</strong>：指令由操作码和地址码组成，操作码指示要执行的操作，地址码指示操作数的位置。</p></li><li><p>⑥ <strong>中心化控制</strong>：计算机的控制单元（CPU）负责解释和执行指令，控制数据流。</p></li></ul></li></ul><p><img src="'+p+'" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>上述的组件协同工作，构成了一个完整的计算机系统：</p><ul><li><strong>运算器</strong>和<strong>控制器</strong>通常被集成在一起，组成中央处理器（CPU），负责数据处理和指令执行。</li><li><strong>存储器</strong>保存数据和程序，是计算机运作的基础。</li><li><strong>输入设备</strong>和<strong>输出设备</strong>负责与外界的交互，确保用户能够输入信息并接收计算机的处理结果。</li></ul></div><h2 id="_1-3-各种硬件处理速度和性能优化" tabindex="-1">1.3 各种硬件处理速度和性能优化 <a class="header-anchor" href="#_1-3-各种硬件处理速度和性能优化" aria-label="Permalink to &quot;1.3 各种硬件处理速度和性能优化&quot;"></a></h2><ul><li>计算机的性能短板：如果 CPU 有每秒处理 1000 个服务请求的能力，各种总线的负载能力能达到 500 个， 但网卡只能接受 200个请求，而硬盘只能负担 150 个的话，那这台服务器得处理能力只能是 150 个请求/ 秒，有 85% 的处理器计算能力浪费了，在计算机系统当中，<code>硬盘</code>的读写速率已经成为影响系统性能进一 步提高的瓶颈。</li></ul><p><img src="'+r+'" alt="img"></p><ul><li>计算机的各个设备部件的延迟从高到低的排列，依次是机械硬盘（HDD）、固态硬盘（SSD）、内存、CPU 。</li></ul><p><img src="'+c+`" alt="img"></p><ul><li>从上图中，我们可以知道，CPU 是最快的，一个时钟周期是 0.3 ns ，内存访问需要 120 ns ，固态硬盘访问需要 50-150 us，传统的硬盘访问需要 1-10 ms，而网络访问是最慢，需要 40 ms 以上。</li><li>时间的单位换算如下：</li></ul><div class="language-txt vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">txt</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>1 秒 = 1000 毫秒，即 1 s = 1000 ms。</span></span>
 <span class="line"><span>1 毫秒 = 1000 微妙，即 1 ms = 1000 us 。</span></span>
 <span class="line"><span>1 微妙 = 1000 纳秒，即 1 us = 1000 ns。</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><ul><li>按照上图，将计算机世界的时间和人类世界的时间进行对比，即：</li></ul><div class="language-txt vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">txt</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>如果 CPU 的时钟周期按照 1 秒计算，</span></span>
 <span class="line"><span>那么，内存访问就需要 6 分钟；</span></span>
--- a/assets/notes_01_c-basic_01_xdx_index.md.7lTzv-1j.lean.js
+++ b/assets/notes_01_c-basic_01_xdx_index.md.7lTzv-1j.lean.js
@ -1 +1 @@
-import{_ as s,c as i,o as a,a5 as n}from"./chunks/framework.BE8if9e6.js";const l="/c/assets/1.D4a42fT1.jpg",e="/c/assets/2.D2wnxl5F.png",t="/c/assets/3.Dq625oo9.jpg",p="/c/assets/4.uqu1DEK4.png",r="/c/assets/5.C6Q0Q8kf.jpg",c="/c/assets/6.B4Srsb-0.png",h="/c/assets/7._D_c8Lrn.png",d="/c/assets/8.DlIyFGDg.png",o="/c/assets/9.7zkUmpQw.png",k="/c/assets/10.h1ugtjyX.png",u="/c/assets/11.D5PWTabw.png",g="/c/assets/12.Bvs6QYjl.jpg",b="/c/assets/9.7zkUmpQw.png",m="/c/assets/14.CsR5exrN.png",E="/c/assets/15.BRG9GQdT.png",y="/c/assets/16.C2sciGZn.png",C="/c/assets/17.DdyXXyxJ.png",F="/c/assets/18.DIeb_KXW.png",_="/c/assets/19.C-kvMz2p.png",v="/c/assets/20.CQqFxmDa.png",A="/c/assets/21.CjMWyIiX.png",f="/c/assets/22.DFQhcDgs.png",x="/c/assets/23.Cco1vsW8.png",B="/c/assets/24.D60Zf6_d.png",D="/c/assets/25.D2-G6nV2.png",q="/c/assets/26.DpzkVk5V.png",w="/c/assets/27.BXk95GIP.png",S="/c/assets/28.CbWTB08W.png",P="/c/assets/29.twO9TCIg.png",L="/c/assets/30.CKOjeIvS.png",W="/c/assets/31.DKmR0CxE.png",T="/c/assets/32.Cudf77_s.gif",I="/c/assets/33.BBUUlhRC.png",O="/c/assets/34.iLABkB7O.png",M="/c/assets/35.BQuYWOU9.png",N="/c/assets/36.CslpH6j0.png",U="/c/assets/37.BAyvZdKq.png",R="/c/assets/38.C3oC1iUd.png",G="/c/assets/39.Ds-jsEZn.png",H="/c/assets/40.Cd37gMYs.png",V="/c/assets/41.CAw2z3gc.png",X="/c/assets/42.DdPThnr-.png",K="/c/assets/43.q_rvlDnY.png",Q="/c/assets/44.JRHg9RZA.png",j="/c/assets/45.Baq-Hb06.png",J="/c/assets/46.c1ht53mu.png",$="/c/assets/47.CAZmH5Py.png",Y="/c/assets/48.DWeCYBe9.png",z="/c/assets/49.2XM8pYni.png",Z="/c/assets/50.CN0t-fuo.png",ss="/c/assets/51.AcDh3LXQ.png",is="/c/assets/52.CUkDFAc6.png",as="/c/assets/53.picNTNaJ.png",ns="/c/assets/54.DKX92RgJ.png",ls="/c/assets/55.Bxr7QKI3.png",es="/c/assets/56.DuFWsOgW.png",ts="/c/assets/57.Da9qUcfr.png",ps="/c/assets/58.7_gEABSX.gif",rs="/c/assets/59.C2KQYoVC.gif",cs="/c/assets/60.RTUP8Vtx.png",hs="/c/assets/61.Dq21DxwL.png",ds="/c/assets/62.QmpUaNxU.png",os="/c/assets/63.DP0C29gZ.png",ks="/c/assets/64.DwzHokd4.png",us="/c/assets/65.Bi6K26yA.png",gs="/c/assets/66.Bw8DcEQ_.png",bs="/c/assets/67.DPc8Z9rS.png",ms="/c/assets/68.S84xHMTl.png",Es="/c/assets/69.iw3JQUkn.png",ys="/c/assets/70.ILeJt-HK.png",Cs="/c/assets/71.CHgm7khh.png",Fs="/c/assets/72.N1nqJaEg.png",_s="/c/assets/73.DHsnibMi.png",vs="/c/assets/74.BQr6Q0uV.png",As="/c/assets/75.BVemi2Lh.png",fs="/c/assets/76.BHR69UXx.png",xs="/c/assets/77.CPSU5SJI.png",Bs="/c/assets/78.CaQLoDlw.png",Ds="/c/assets/79.aRGy4XbL.png",qs="/c/assets/80.kNO9fmPR.png",ws="/c/assets/81.D4EkoC4o.png",Ss="/c/assets/82.V23Lo9e_.png",Ps="/c/assets/83.Du9LVeMB.png",Ls="/c/assets/84.DdFg75U9.png",Ws="/c/assets/85.C6bz6KtT.png",Ts="/c/assets/86.CB6LAhB5.png",Is="/c/assets/87.Bip8bkua.png",Os="/c/assets/88.DRNHRduW.png",Ms="/c/assets/89.Cth4qqEn.png",Ns="/c/assets/90.DWGWZ64P.png",Us="/c/assets/91.3hDIDdvx.png",Rs="/c/assets/92.Bw_dQ4ap.png",Gs="/c/assets/93.Cn_ubTyA.png",Hs="/c/assets/94.C84EBqwB.png",Vs="/c/assets/95.dZfJY4eR.png",Xs="/c/assets/96.B0zm0Z79.png",Ks="/c/assets/97.CaTcEy1Q.png",Qs="/c/assets/98.iEc8mo9g.png",js="/c/assets/99.Co2KxM6t.png",Js="/c/assets/100.CaUm8Qhc.png",$s="/c/assets/101.kOkqIKG6.png",Ys="/c/assets/102.CyeASH-c.png",zs="/c/assets/103.CFdk60La.png",Zs="/c/assets/104.Bhl-0uK_.png",si="/c/assets/105.Dni9KbXV.png",ii="/c/assets/106.BXx10MCV.png",ai="/c/assets/107.CXcIKX1T.png",ni="/c/assets/108.CQ3_QCQT.png",li="/c/assets/109.CQoDRJM5.gif",ei="/c/assets/110.CPfwZvD9.gif",ti="/c/assets/111.bxEomEjU.gif",pi="/c/assets/112.C_onhf2k.png",ri="/c/assets/113.Budj3s38.gif",ci="/c/assets/114.CH8koQdu.gif",hi="/c/assets/115.kUJhxMtg.png",di="/c/assets/116.BJeJJW4_.png",oi="/c/assets/117.BCuK6eJL.gif",ki="/c/assets/118.rKC-z4z-.gif",ui="/c/assets/119.BJE3xxuT.gif",gi="/c/assets/120.DJOq__O0.gif",bi="/c/assets/121.BDt_0fRR.png",mi="/c/assets/122.Bo5OawW8.png",Ei="/c/assets/123.sUWUfl5e.png",yi="/c/assets/124.BK4jpnB8.png",Ci="/c/assets/125.EF8vdbSq.png",Fi="/c/assets/126.DjxdA_Co.png",_i="/c/assets/127.sp68q1hh.gif",vi="/c/assets/128.DhMRyxNN.gif",Ai="/c/assets/129.CdcLZM0R.gif",fi="/c/assets/130.D-5AsTTr.png",xi="/c/assets/131.2RQKmAUa.png",Bi="/c/assets/132.CI4xX8SM.png",Di="/c/assets/133.C8QUZ9v3.gif",qi="/c/assets/134.g5tQfhWz.gif",wi="/c/assets/135.CX0_1NsE.gif",Si="/c/assets/136.BrFJeoK6.png",Pi="/c/assets/137.58TjSSjH.gif",Li="/c/assets/138.CgqNV2hL.png",Wi="/c/assets/139.BasYWvkM.png",Ti="/c/assets/140.CjFxJpBr.png",Ii="/c/assets/141.Dm5Jspvp.gif",Oi="/c/assets/142.1krCh8cy.gif",Mi="/c/assets/143.DOSyahv7.gif",Ni="/c/assets/144.BHEvX_FI.gif",Ui="/c/assets/145.DFA0g1_d.gif",Ri="/c/assets/146.D50nO5eA.gif",Gi="/c/assets/147.cAvG1Qfq.png",Hi="/c/assets/148.DpakQFWz.gif",Vi="/c/assets/149.Bg61j9QI.gif",Xi="/c/assets/150.DPvD9UCw.gif",Ki="/c/assets/151.Ceu65U_n.gif",Qi="/c/assets/152.BWPFRK_8.gif",ji="/c/assets/153.Ct4TfxPf.gif",Ji="/c/assets/154.zsKtx_jV.png",$i="/c/assets/155.3oqDAW0w.png",Yi="/c/assets/156.D9TSeAa9.gif",zi="/c/assets/157.CCRgYIVq.png",Zi="/c/assets/158.C1t2T6FV.gif",sa="/c/assets/159.Rqa4uHq6.png",ia="/c/assets/160.6yQYnjOa.gif",aa="/c/assets/161.hYR9GiiD.gif",na="/c/assets/162.D3b-QIrA.gif",la="/c/assets/163.DGbA6qsW.gif",ea="/c/assets/164.BToOkxf2.gif",ma=JSON.parse('{"title":"第一章：计算机组成原理","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/01_xdx/index.md","filePath":"notes/01_c-basic/01_xdx/index.md","lastUpdated":1720685105000}'),ta={name:"notes/01_c-basic/01_xdx/index.md"},pa=n("",546),ra=[pa];function ca(ha,da,oa,ka,ua,ga){return a(),i("div",null,ra)}const Ea=s(ta,[["render",ca]]);export{ma as __pageData,Ea as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CZKtKhAm.js";const l="/c/assets/1.D4a42fT1.jpg",e="/c/assets/2.D2wnxl5F.png",t="/c/assets/3.Dq625oo9.jpg",p="/c/assets/4.uqu1DEK4.png",r="/c/assets/5.C6Q0Q8kf.jpg",c="/c/assets/6.B4Srsb-0.png",h="/c/assets/7._D_c8Lrn.png",d="/c/assets/8.DlIyFGDg.png",o="/c/assets/9.7zkUmpQw.png",k="/c/assets/10.h1ugtjyX.png",u="/c/assets/11.D5PWTabw.png",g="/c/assets/12.Bvs6QYjl.jpg",b="/c/assets/9.7zkUmpQw.png",m="/c/assets/14.CsR5exrN.png",E="/c/assets/15.BRG9GQdT.png",y="/c/assets/16.C2sciGZn.png",C="/c/assets/17.DdyXXyxJ.png",F="/c/assets/18.DIeb_KXW.png",_="/c/assets/19.C-kvMz2p.png",v="/c/assets/20.CQqFxmDa.png",A="/c/assets/21.CjMWyIiX.png",f="/c/assets/22.DFQhcDgs.png",x="/c/assets/23.Cco1vsW8.png",B="/c/assets/24.D60Zf6_d.png",D="/c/assets/25.D2-G6nV2.png",q="/c/assets/26.DpzkVk5V.png",w="/c/assets/27.BXk95GIP.png",S="/c/assets/28.CbWTB08W.png",P="/c/assets/29.twO9TCIg.png",L="/c/assets/30.CKOjeIvS.png",W="/c/assets/31.DKmR0CxE.png",T="/c/assets/32.Cudf77_s.gif",I="/c/assets/33.BBUUlhRC.png",O="/c/assets/34.iLABkB7O.png",M="/c/assets/35.BQuYWOU9.png",N="/c/assets/36.CslpH6j0.png",U="/c/assets/37.BAyvZdKq.png",R="/c/assets/38.C3oC1iUd.png",G="/c/assets/39.Ds-jsEZn.png",H="/c/assets/40.Cd37gMYs.png",V="/c/assets/41.CAw2z3gc.png",X="/c/assets/42.DdPThnr-.png",K="/c/assets/43.q_rvlDnY.png",Q="/c/assets/44.JRHg9RZA.png",j="/c/assets/45.Baq-Hb06.png",J="/c/assets/46.c1ht53mu.png",$="/c/assets/47.CAZmH5Py.png",Y="/c/assets/48.DWeCYBe9.png",z="/c/assets/49.2XM8pYni.png",Z="/c/assets/50.CN0t-fuo.png",ss="/c/assets/51.AcDh3LXQ.png",is="/c/assets/52.CUkDFAc6.png",as="/c/assets/53.picNTNaJ.png",ns="/c/assets/54.DKX92RgJ.png",ls="/c/assets/55.Bxr7QKI3.png",es="/c/assets/56.DuFWsOgW.png",ts="/c/assets/57.Da9qUcfr.png",ps="/c/assets/58.7_gEABSX.gif",rs="/c/assets/59.C2KQYoVC.gif",cs="/c/assets/60.RTUP8Vtx.png",hs="/c/assets/61.Dq21DxwL.png",ds="/c/assets/62.QmpUaNxU.png",os="/c/assets/63.DP0C29gZ.png",ks="/c/assets/64.DwzHokd4.png",us="/c/assets/65.Bi6K26yA.png",gs="/c/assets/66.Bw8DcEQ_.png",bs="/c/assets/67.DPc8Z9rS.png",ms="/c/assets/68.S84xHMTl.png",Es="/c/assets/69.iw3JQUkn.png",ys="/c/assets/70.ILeJt-HK.png",Cs="/c/assets/71.CHgm7khh.png",Fs="/c/assets/72.N1nqJaEg.png",_s="/c/assets/73.DHsnibMi.png",vs="/c/assets/74.BQr6Q0uV.png",As="/c/assets/75.BVemi2Lh.png",fs="/c/assets/76.BHR69UXx.png",xs="/c/assets/77.CPSU5SJI.png",Bs="/c/assets/78.CaQLoDlw.png",Ds="/c/assets/79.aRGy4XbL.png",qs="/c/assets/80.kNO9fmPR.png",ws="/c/assets/81.D4EkoC4o.png",Ss="/c/assets/82.V23Lo9e_.png",Ps="/c/assets/83.Du9LVeMB.png",Ls="/c/assets/84.DdFg75U9.png",Ws="/c/assets/85.C6bz6KtT.png",Ts="/c/assets/86.CB6LAhB5.png",Is="/c/assets/87.Bip8bkua.png",Os="/c/assets/88.DRNHRduW.png",Ms="/c/assets/89.Cth4qqEn.png",Ns="/c/assets/90.DWGWZ64P.png",Us="/c/assets/91.3hDIDdvx.png",Rs="/c/assets/92.Bw_dQ4ap.png",Gs="/c/assets/93.Cn_ubTyA.png",Hs="/c/assets/94.C84EBqwB.png",Vs="/c/assets/95.dZfJY4eR.png",Xs="/c/assets/96.B0zm0Z79.png",Ks="/c/assets/97.CaTcEy1Q.png",Qs="/c/assets/98.iEc8mo9g.png",js="/c/assets/99.Co2KxM6t.png",Js="/c/assets/100.CaUm8Qhc.png",$s="/c/assets/101.kOkqIKG6.png",Ys="/c/assets/102.CyeASH-c.png",zs="/c/assets/103.CFdk60La.png",Zs="/c/assets/104.Bhl-0uK_.png",si="/c/assets/105.Dni9KbXV.png",ii="/c/assets/106.BXx10MCV.png",ai="/c/assets/107.CXcIKX1T.png",ni="/c/assets/108.CQ3_QCQT.png",li="/c/assets/109.CQoDRJM5.gif",ei="/c/assets/110.CPfwZvD9.gif",ti="/c/assets/111.bxEomEjU.gif",pi="/c/assets/112.C_onhf2k.png",ri="/c/assets/113.Budj3s38.gif",ci="/c/assets/114.CH8koQdu.gif",hi="/c/assets/115.kUJhxMtg.png",di="/c/assets/116.BJeJJW4_.png",oi="/c/assets/117.BCuK6eJL.gif",ki="/c/assets/118.rKC-z4z-.gif",ui="/c/assets/119.BJE3xxuT.gif",gi="/c/assets/120.DJOq__O0.gif",bi="/c/assets/121.BDt_0fRR.png",mi="/c/assets/122.Bo5OawW8.png",Ei="/c/assets/123.sUWUfl5e.png",yi="/c/assets/124.BK4jpnB8.png",Ci="/c/assets/125.EF8vdbSq.png",Fi="/c/assets/126.DjxdA_Co.png",_i="/c/assets/127.sp68q1hh.gif",vi="/c/assets/128.DhMRyxNN.gif",Ai="/c/assets/129.CdcLZM0R.gif",fi="/c/assets/130.D-5AsTTr.png",xi="/c/assets/131.2RQKmAUa.png",Bi="/c/assets/132.CI4xX8SM.png",Di="/c/assets/133.C8QUZ9v3.gif",qi="/c/assets/134.g5tQfhWz.gif",wi="/c/assets/135.CX0_1NsE.gif",Si="/c/assets/136.BrFJeoK6.png",Pi="/c/assets/137.58TjSSjH.gif",Li="/c/assets/138.CgqNV2hL.png",Wi="/c/assets/139.BasYWvkM.png",Ti="/c/assets/140.CjFxJpBr.png",Ii="/c/assets/141.Dm5Jspvp.gif",Oi="/c/assets/142.1krCh8cy.gif",Mi="/c/assets/143.DOSyahv7.gif",Ni="/c/assets/144.BHEvX_FI.gif",Ui="/c/assets/145.DFA0g1_d.gif",Ri="/c/assets/146.D50nO5eA.gif",Gi="/c/assets/147.cAvG1Qfq.png",Hi="/c/assets/148.DpakQFWz.gif",Vi="/c/assets/149.Bg61j9QI.gif",Xi="/c/assets/150.DPvD9UCw.gif",Ki="/c/assets/151.Ceu65U_n.gif",Qi="/c/assets/152.BWPFRK_8.gif",ji="/c/assets/153.Ct4TfxPf.gif",Ji="/c/assets/154.zsKtx_jV.png",$i="/c/assets/155.3oqDAW0w.png",Yi="/c/assets/156.D9TSeAa9.gif",zi="/c/assets/157.CCRgYIVq.png",Zi="/c/assets/158.C1t2T6FV.gif",sa="/c/assets/159.Rqa4uHq6.png",ia="/c/assets/160.6yQYnjOa.gif",aa="/c/assets/161.hYR9GiiD.gif",na="/c/assets/162.D3b-QIrA.gif",la="/c/assets/163.DGbA6qsW.gif",ea="/c/assets/164.BToOkxf2.gif",ma=JSON.parse('{"title":"第一章：计算机组成原理","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/01_xdx/index.md","filePath":"notes/01_c-basic/01_xdx/index.md","lastUpdated":1720685105000}'),ta={name:"notes/01_c-basic/01_xdx/index.md"},pa=n("",546),ra=[pa];function ca(ha,da,oa,ka,ua,ga){return a(),i("div",null,ra)}const Ea=s(ta,[["render",ca]]);export{ma as __pageData,Ea as default};
--- a/assets/notes_01_c-basic_02_xdx_index.md.36L8tSmA.js
+++ b/assets/notes_01_c-basic_02_xdx_index.md.36L8tSmA.js
@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a5 as n}from"./chunks/framework.BE8if9e6.js";const l="/c/assets/1.CXNJqOOc.png",e="/c/assets/2.E0LS08Y5.png",t="/c/assets/3.6recRAvz.jpeg",p="/c/assets/4.DcyDw4rB.jpg",h="/c/assets/5.q20QOAIA.png",d="/c/assets/6.CmrWpBzQ.png",k="/c/assets/7.CocAjZjO.png",r="/c/assets/8.CHZSlb-7.png",c="/c/assets/9.RD2M_pYn.png",o="/c/assets/10.CmNKK_Ug.png",u="/c/assets/11.CbGZ55Dj.png",E="/c/assets/12.DpTBR420.png",b="/c/assets/13.XcPl7d9s.png",g="/c/assets/14.DL02VQMp.png",F="/c/assets/15.Dr67r_Ws.png",y="/c/assets/16.C5XiXNVN.png",m="/c/assets/17.DO8XxSV6.jpg",C="/c/assets/18.CUXrdefp.jpeg",B="/c/assets/19.uqLiL_yu.png",v="/c/assets/20.CkykpHY2.png",A="/c/assets/21.DV1YbrOP.png",D="/c/assets/22.AHNJT9TV.png",_="/c/assets/23.Bs-MOwx2.png",q="/c/assets/24.StzjmBz-.png",f="/c/assets/25.C0wVWaxD.png",x="/c/assets/26.LXJMAihe.png",P="/c/assets/27._UTCq3PD.png",O="/c/assets/28.BjQ5kBL-.png",T="/c/assets/29.COIOzcmT.png",N="/c/assets/30.Cu__mjav.png",M="/c/assets/31.BX_KzkHt.png",w="/c/assets/32.COt_QxSP.png",K=JSON.parse('{"title":"第一章：变量（⭐）","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/02_xdx/index.md","filePath":"notes/01_c-basic/02_xdx/index.md","lastUpdated":1721202271000}'),I={name:"notes/01_c-basic/02_xdx/index.md"},U=n('<h1 id="第一章-变量-⭐" tabindex="-1">第一章：变量（⭐） <a class="header-anchor" href="#第一章-变量-⭐" aria-label="Permalink to &quot;第一章：变量（⭐）&quot;"></a></h1><h2 id="_1-1-程序中变化的数据" tabindex="-1">1.1 程序中变化的数据 <a class="header-anchor" href="#_1-1-程序中变化的数据" aria-label="Permalink to &quot;1.1 程序中变化的数据&quot;"></a></h2><ul><li>在生活中，我们使用最多的不是固定的数据，而是会变化的数据： <ul><li>① 购物车商品的<code>数量</code>、<code>价格</code>等。</li><li>② 一首歌<code>播放的时间</code>、<code>进度条</code>、<code>歌词的展示</code>等。</li><li>③ 微信聊天中<code>消息条数</code>、<code>时间</code>、<code>语音的长度</code>、<code>头像</code>、<code>名称</code>等。</li><li>④ 游戏中技能的<code>冷却时间</code>、<code>血量</code>、<code>蓝量</code>、<code>buff 时间</code>、<code>金币的数量</code>等。</li><li>……</li></ul></li></ul><ul><li>下图是一个<code>购物车</code>中<code>变化</code>的<code>数据</code>，即：</li></ul><p><img src="'+l+'" alt=""></p><ul><li>那么，在实际开发中，我们就会使用<code>变量</code>来<code>保存</code>和<code>操作</code>这些<code>变化</code>的<code>数据</code>。</li></ul><h2 id="_1-2-变量" tabindex="-1">1.2 变量 <a class="header-anchor" href="#_1-2-变量" aria-label="Permalink to &quot;1.2 变量&quot;"></a></h2><ul><li>变量的定义：变量是程序中不可或缺的组成单位，最基本的存储单元。其实，变量就是一个存储数据的临时空间，可以向其中存储不同类型的数据，如：整数、小数、字符、字符串等，并且变量中的数据在程序运行的时候可以动态改变。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li><code>变量</code>：用来<code>存储数据</code>的<code>容器</code>。</li><li><code>数据</code>：可以是一个用来计算的<code>数字</code>，如：上文购物车中的<code>价格</code>等；也可以是一句话中的<code>关键词</code>或<code>其它任意格式的数据</code>。</li><li>变量的<code>特别</code>之处就在于<code>它存放的数据是可以改变</code>的。</li></ul></div><ul><li>我们可以将<code>变量</code>想象为一个<code>容器</code>，盒子中<code>装的</code>就是我们想要的<code>数据</code>，并且我们需要<code>给</code>盒子<code>取</code>一个<code>特别的名称</code>；通过这个<code>特别的名称</code>，我们可以<code>给</code>盒子<code>添加数据</code>或<code>移除数据</code>，这个<code>特别的名称</code>就是<code>变量名</code>。</li></ul><p><img src="'+e+`" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① <code>变量</code>是内存中的一个<code>存储区域</code>，该区域的数据可以在<code>同一类型</code>范围内<code>不断变化</code>。</li><li>② 通过<code>变量名</code>，可以<code>操作</code>这块内存区域，向其中<code>存储数据</code>或<code>获取数据</code>以及<code>移除数据</code>。</li><li>③ 变量的构成包含三个要素：<code>数据类型</code>、<code>变量名</code>、<code>需要存储的数据</code>。</li><li>④ 在生活中，我们会经常说：这件衣服的价格是 <code>100（整型）</code> 元，这双鞋子的价格是 <code>250.5（小数，浮点类型）</code> 元，<code>今天天气真好（字符串类型）</code>之类的话；在计算机科学中，这些都是数据，并且它们是有类型，即：数据类型。（数据类型用于定义变量所能存储的数据的种类以及可以对这些数据进行的操作的一种分类，每种数据类型都有特定的属性和用途，它们决定了变量在内存中如何表示和存储，以及变量可以执行哪些操作）</li></ul></div><h2 id="_1-3-变量的声明和使用" tabindex="-1">1.3 变量的声明和使用 <a class="header-anchor" href="#_1-3-变量的声明和使用" aria-label="Permalink to &quot;1.3 变量的声明和使用&quot;"></a></h2><ul><li>① 变量必须先声明，后使用。</li><li>② 可以先声明变量再赋值，也可以在声明变量的同时进行赋值。</li><li>③ 变量的值可以在同一类型范围内不断变化。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>在实际开发中，我们通常都会在声明变量的同时，给其赋值，这被称为初始化。</p></div><ul><li>示例：先声明，再使用</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CZKtKhAm.js";const l="/c/assets/1.CXNJqOOc.png",e="/c/assets/2.E0LS08Y5.png",t="/c/assets/3.6recRAvz.jpeg",p="/c/assets/4.DcyDw4rB.jpg",h="/c/assets/5.q20QOAIA.png",d="/c/assets/6.CmrWpBzQ.png",k="/c/assets/7.CocAjZjO.png",r="/c/assets/8.CHZSlb-7.png",c="/c/assets/9.RD2M_pYn.png",o="/c/assets/10.CmNKK_Ug.png",u="/c/assets/11.CbGZ55Dj.png",E="/c/assets/12.DpTBR420.png",b="/c/assets/13.XcPl7d9s.png",g="/c/assets/14.DL02VQMp.png",F="/c/assets/15.Dr67r_Ws.png",y="/c/assets/16.C5XiXNVN.png",m="/c/assets/17.DO8XxSV6.jpg",C="/c/assets/18.CUXrdefp.jpeg",B="/c/assets/19.uqLiL_yu.png",v="/c/assets/20.CkykpHY2.png",A="/c/assets/21.DV1YbrOP.png",D="/c/assets/22.AHNJT9TV.png",_="/c/assets/23.Bs-MOwx2.png",q="/c/assets/24.StzjmBz-.png",f="/c/assets/25.C0wVWaxD.png",x="/c/assets/26.LXJMAihe.png",P="/c/assets/27._UTCq3PD.png",O="/c/assets/28.BjQ5kBL-.png",T="/c/assets/29.COIOzcmT.png",N="/c/assets/30.Cu__mjav.png",M="/c/assets/31.BX_KzkHt.png",w="/c/assets/32.COt_QxSP.png",K=JSON.parse('{"title":"第一章：变量（⭐）","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/02_xdx/index.md","filePath":"notes/01_c-basic/02_xdx/index.md","lastUpdated":1721202271000}'),I={name:"notes/01_c-basic/02_xdx/index.md"},U=n('<h1 id="第一章-变量-⭐" tabindex="-1">第一章：变量（⭐） <a class="header-anchor" href="#第一章-变量-⭐" aria-label="Permalink to &quot;第一章：变量（⭐）&quot;"></a></h1><h2 id="_1-1-程序中变化的数据" tabindex="-1">1.1 程序中变化的数据 <a class="header-anchor" href="#_1-1-程序中变化的数据" aria-label="Permalink to &quot;1.1 程序中变化的数据&quot;"></a></h2><ul><li>在生活中，我们使用最多的不是固定的数据，而是会变化的数据： <ul><li>① 购物车商品的<code>数量</code>、<code>价格</code>等。</li><li>② 一首歌<code>播放的时间</code>、<code>进度条</code>、<code>歌词的展示</code>等。</li><li>③ 微信聊天中<code>消息条数</code>、<code>时间</code>、<code>语音的长度</code>、<code>头像</code>、<code>名称</code>等。</li><li>④ 游戏中技能的<code>冷却时间</code>、<code>血量</code>、<code>蓝量</code>、<code>buff 时间</code>、<code>金币的数量</code>等。</li><li>……</li></ul></li></ul><ul><li>下图是一个<code>购物车</code>中<code>变化</code>的<code>数据</code>，即：</li></ul><p><img src="'+l+'" alt=""></p><ul><li>那么，在实际开发中，我们就会使用<code>变量</code>来<code>保存</code>和<code>操作</code>这些<code>变化</code>的<code>数据</code>。</li></ul><h2 id="_1-2-变量" tabindex="-1">1.2 变量 <a class="header-anchor" href="#_1-2-变量" aria-label="Permalink to &quot;1.2 变量&quot;"></a></h2><ul><li>变量的定义：变量是程序中不可或缺的组成单位，最基本的存储单元。其实，变量就是一个存储数据的临时空间，可以向其中存储不同类型的数据，如：整数、小数、字符、字符串等，并且变量中的数据在程序运行的时候可以动态改变。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li><code>变量</code>：用来<code>存储数据</code>的<code>容器</code>。</li><li><code>数据</code>：可以是一个用来计算的<code>数字</code>，如：上文购物车中的<code>价格</code>等；也可以是一句话中的<code>关键词</code>或<code>其它任意格式的数据</code>。</li><li>变量的<code>特别</code>之处就在于<code>它存放的数据是可以改变</code>的。</li></ul></div><ul><li>我们可以将<code>变量</code>想象为一个<code>容器</code>，盒子中<code>装的</code>就是我们想要的<code>数据</code>，并且我们需要<code>给</code>盒子<code>取</code>一个<code>特别的名称</code>；通过这个<code>特别的名称</code>，我们可以<code>给</code>盒子<code>添加数据</code>或<code>移除数据</code>，这个<code>特别的名称</code>就是<code>变量名</code>。</li></ul><p><img src="'+e+`" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① <code>变量</code>是内存中的一个<code>存储区域</code>，该区域的数据可以在<code>同一类型</code>范围内<code>不断变化</code>。</li><li>② 通过<code>变量名</code>，可以<code>操作</code>这块内存区域，向其中<code>存储数据</code>或<code>获取数据</code>以及<code>移除数据</code>。</li><li>③ 变量的构成包含三个要素：<code>数据类型</code>、<code>变量名</code>、<code>需要存储的数据</code>。</li><li>④ 在生活中，我们会经常说：这件衣服的价格是 <code>100（整型）</code> 元，这双鞋子的价格是 <code>250.5（小数，浮点类型）</code> 元，<code>今天天气真好（字符串类型）</code>之类的话；在计算机科学中，这些都是数据，并且它们是有类型，即：数据类型。（数据类型用于定义变量所能存储的数据的种类以及可以对这些数据进行的操作的一种分类，每种数据类型都有特定的属性和用途，它们决定了变量在内存中如何表示和存储，以及变量可以执行哪些操作）</li></ul></div><h2 id="_1-3-变量的声明和使用" tabindex="-1">1.3 变量的声明和使用 <a class="header-anchor" href="#_1-3-变量的声明和使用" aria-label="Permalink to &quot;1.3 变量的声明和使用&quot;"></a></h2><ul><li>① 变量必须先声明，后使用。</li><li>② 可以先声明变量再赋值，也可以在声明变量的同时进行赋值。</li><li>③ 变量的值可以在同一类型范围内不断变化。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>在实际开发中，我们通常都会在声明变量的同时，给其赋值，这被称为初始化。</p></div><ul><li>示例：先声明，再使用</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
 <span class="line"></span>
--- a/assets/notes_01_c-basic_02_xdx_index.md.36L8tSmA.lean.js
+++ b/assets/notes_01_c-basic_02_xdx_index.md.36L8tSmA.lean.js
@ -1 +1 @@
-import{_ as s,c as i,o as a,a5 as n}from"./chunks/framework.BE8if9e6.js";const l="/c/assets/1.CXNJqOOc.png",e="/c/assets/2.E0LS08Y5.png",t="/c/assets/3.6recRAvz.jpeg",p="/c/assets/4.DcyDw4rB.jpg",h="/c/assets/5.q20QOAIA.png",d="/c/assets/6.CmrWpBzQ.png",k="/c/assets/7.CocAjZjO.png",r="/c/assets/8.CHZSlb-7.png",c="/c/assets/9.RD2M_pYn.png",o="/c/assets/10.CmNKK_Ug.png",u="/c/assets/11.CbGZ55Dj.png",E="/c/assets/12.DpTBR420.png",b="/c/assets/13.XcPl7d9s.png",g="/c/assets/14.DL02VQMp.png",F="/c/assets/15.Dr67r_Ws.png",y="/c/assets/16.C5XiXNVN.png",m="/c/assets/17.DO8XxSV6.jpg",C="/c/assets/18.CUXrdefp.jpeg",B="/c/assets/19.uqLiL_yu.png",v="/c/assets/20.CkykpHY2.png",A="/c/assets/21.DV1YbrOP.png",D="/c/assets/22.AHNJT9TV.png",_="/c/assets/23.Bs-MOwx2.png",q="/c/assets/24.StzjmBz-.png",f="/c/assets/25.C0wVWaxD.png",x="/c/assets/26.LXJMAihe.png",P="/c/assets/27._UTCq3PD.png",O="/c/assets/28.BjQ5kBL-.png",T="/c/assets/29.COIOzcmT.png",N="/c/assets/30.Cu__mjav.png",M="/c/assets/31.BX_KzkHt.png",w="/c/assets/32.COt_QxSP.png",K=JSON.parse('{"title":"第一章：变量（⭐）","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/02_xdx/index.md","filePath":"notes/01_c-basic/02_xdx/index.md","lastUpdated":1721202271000}'),I={name:"notes/01_c-basic/02_xdx/index.md"},U=n("",244),R=[U];function L(S,X,z,j,V,H){return a(),i("div",null,R)}const Q=s(I,[["render",L]]);export{K as __pageData,Q as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CZKtKhAm.js";const l="/c/assets/1.CXNJqOOc.png",e="/c/assets/2.E0LS08Y5.png",t="/c/assets/3.6recRAvz.jpeg",p="/c/assets/4.DcyDw4rB.jpg",h="/c/assets/5.q20QOAIA.png",d="/c/assets/6.CmrWpBzQ.png",k="/c/assets/7.CocAjZjO.png",r="/c/assets/8.CHZSlb-7.png",c="/c/assets/9.RD2M_pYn.png",o="/c/assets/10.CmNKK_Ug.png",u="/c/assets/11.CbGZ55Dj.png",E="/c/assets/12.DpTBR420.png",b="/c/assets/13.XcPl7d9s.png",g="/c/assets/14.DL02VQMp.png",F="/c/assets/15.Dr67r_Ws.png",y="/c/assets/16.C5XiXNVN.png",m="/c/assets/17.DO8XxSV6.jpg",C="/c/assets/18.CUXrdefp.jpeg",B="/c/assets/19.uqLiL_yu.png",v="/c/assets/20.CkykpHY2.png",A="/c/assets/21.DV1YbrOP.png",D="/c/assets/22.AHNJT9TV.png",_="/c/assets/23.Bs-MOwx2.png",q="/c/assets/24.StzjmBz-.png",f="/c/assets/25.C0wVWaxD.png",x="/c/assets/26.LXJMAihe.png",P="/c/assets/27._UTCq3PD.png",O="/c/assets/28.BjQ5kBL-.png",T="/c/assets/29.COIOzcmT.png",N="/c/assets/30.Cu__mjav.png",M="/c/assets/31.BX_KzkHt.png",w="/c/assets/32.COt_QxSP.png",K=JSON.parse('{"title":"第一章：变量（⭐）","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/02_xdx/index.md","filePath":"notes/01_c-basic/02_xdx/index.md","lastUpdated":1721202271000}'),I={name:"notes/01_c-basic/02_xdx/index.md"},U=n("",244),R=[U];function L(S,X,z,j,V,H){return a(),i("div",null,R)}const Q=s(I,[["render",L]]);export{K as __pageData,Q as default};
--- a/assets/notes_01_c-basic_03_xdx_index.md.BUQ_uNMg.js
+++ b/assets/notes_01_c-basic_03_xdx_index.md.BUQ_uNMg.js
@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a5 as n}from"./chunks/framework.BE8if9e6.js";const l="/c/assets/1.L8V3GBrc.png",p="/c/assets/2.BkF1yWLn.png",t="/c/assets/3.CceY8r_n.png",h="/c/assets/4.DHaUgOwj.png",k="/c/assets/5.CXGaq_zh.png",e="/c/assets/6.BrZYAEEl.png",r="/c/assets/7.DpCroFHv.png",d="/c/assets/8.Cr7P0Gji.png",E="/c/assets/9.NlBmD7pA.png",c="/c/assets/10.ZiBq6Pno.png",g="/c/assets/11.DAgmsf-w.png",F="/c/assets/12.B2iC37fw.png",y="/c/assets/14.BlE3ZFud.png",u="/c/assets/15.CdvhiwcU.png",b="/c/assets/16.D74t3-Xt.png",o="/c/assets/17.DdAZIfeP.png",C="/c/assets/18.B4Zfj2jX.png",m="/c/assets/19.IfpA0D5n.png",B="/c/assets/20.CfIzYazX.png",A="/c/assets/21.eHnZcbpI.png",D="/c/assets/22.BNoKlM4o.png",v="/c/assets/23.CMVtwrqr.png",q="/c/assets/24.CN19KJG7.png",f="/c/assets/25.BIhiJHjz.png",_="/c/assets/26.A_E4n4g8.png",x="/c/assets/27.Bv4qFbwF.png",z="/c/assets/28.IKaazo2J.png",w="/c/assets/29.CGTVELeO.png",I="/c/assets/30.Bz4_lEH0.gif",P="/c/assets/31.CcDWE4nn.png",T="/c/assets/32.B7y2_JVX.gif",N="/c/assets/33.Btcc3rs2.gif",L="/c/assets/34.CR4ARW8y.png",O="/c/assets/33.Btcc3rs2.gif",S="/c/assets/36.DOX3ymYP.gif",U="/c/assets/37.Cie9_tkP.gif",M="/c/assets/38.DLjH9Ges.png",$=JSON.parse('{"title":"第一章：数据类型（⭐）","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/03_xdx/index.md","filePath":"notes/01_c-basic/03_xdx/index.md","lastUpdated":1721697894000}'),X={name:"notes/01_c-basic/03_xdx/index.md"},R=n('<h1 id="第一章-数据类型-⭐" tabindex="-1">第一章：数据类型（⭐） <a class="header-anchor" href="#第一章-数据类型-⭐" aria-label="Permalink to &quot;第一章：数据类型（⭐）&quot;"></a></h1><h2 id="_1-1-概述" tabindex="-1">1.1 概述 <a class="header-anchor" href="#_1-1-概述" aria-label="Permalink to &quot;1.1 概述&quot;"></a></h2><ul><li><p>根据<code>变量</code>中<code>存储</code>的<code>值</code>的<code>不同</code>，我们可以将<code>变量</code>分为两类：</p><ul><li><code>普通变量</code>：变量所对应的内存中存储的是<code>普通值</code>。</li><li><code>指针变量</code>：变量所对应的内存中存储的是<code>另一个变量的地址</code>。</li></ul></li><li><p>如下图所示：</p></li></ul><p><img src="'+l+'" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>普通变量和指针变量的相同点：</p><ul><li>普通变量有内存空间，指针变量也有内存空间。</li><li>普通变量有内存地址，指针变量也有内存地址。</li><li>普通变量所对应的内存空间中有值，指针变量所对应的内存空间中也有值。</li></ul><p>普通变量和指针变量的不同点：</p><ul><li>普通变量所对应的内存空间存储的是普通的值，如：整数、小数、字符等；指针变量所对应的内存空间存储的是另外一个变量的地址。</li><li>普通变量有普通变量的运算方式，而指针变量有指针变量的运算方式（后续讲解）。</li></ul></div><ul><li>那么，在 C 语言中变量的数据类型就可以这么划分，如下所示：</li></ul><p><img src="'+p+`" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>根据<code>普通变量</code>中<code>存储</code>的<code>值</code>的类型不同，可以将<code>普通变量类型</code>划分为<code>基本数据类型</code>（整型、字符类型、浮点类型、布尔类型）和<code>复合数据类型</code>（数组类型、结构体类型、共用体类型、枚举类型）。</li><li>根据<code>指针变量</code>所<code>指向空间</code>中<code>存储</code>的<code>值</code>的类型不同，可以将<code>指针类型</code>分为<code>基本数据类型指针</code>、<code>复合数据类型指针</code>、<code>函数指针</code>、<code>数组指针</code>等，例如：如果指针所指向的空间保存的是 int 类型，那么该指针就是 int 类型的指针。</li></ul></div><h2 id="_1-2-整数类型" tabindex="-1">1.2 整数类型 <a class="header-anchor" href="#_1-2-整数类型" aria-label="Permalink to &quot;1.2 整数类型&quot;"></a></h2><h3 id="_1-2-1-概述" tabindex="-1">1.2.1 概述 <a class="header-anchor" href="#_1-2-1-概述" aria-label="Permalink to &quot;1.2.1 概述&quot;"></a></h3><ul><li>整数类型简称整型，用于存储整数值，如：12、20、50 等。</li><li>根据所占<code>内存空间</code>大小的不同，可以将整数类型划分为：</li><li>① 短整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned short （无符号短整型）</td><td>2 字节</td><td>0 ~ 65,535 (2^16 - 1)</td></tr><tr><td>[signed] short（有符号短整型，默认）</td><td>2 字节</td><td>-32,768 (- 2^15) ~ 32,767 (2^15 -1)</td></tr></tbody></table><ul><li>② 整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned int（无符号整型）</td><td>4 字节（通常）</td><td>0 ~ 4294967295 (0 ~2^32 -1)</td></tr><tr><td>[signed] int（有符号整型，默认）</td><td>4 字节（通常）</td><td>-2147483648（- 2^31） ~ 2147483647 (2^31-1)</td></tr></tbody></table><ul><li>③ 长整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned long（无符号长整型）</td><td>4 字节（通常）</td><td>0 ~2^32 -1</td></tr><tr><td>[signed] long（有符号长整型，默认）</td><td>4 字节（通常）</td><td>- 2^31 ~ 2^31-1</td></tr></tbody></table><ul><li>④ 长长整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned long long（无符号长整型）</td><td>8 字节（通常）</td><td>0 ~2^64 -1</td></tr><tr><td>[signed] long long（有符号长整型，默认）</td><td>8 字节（通常）</td><td>- 2^63 ~ 2^63-1</td></tr></tbody></table><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① C 语言默认没有规定各种数据类型所占存储单元的长度，但是通常需要遵守：<code>sizeof(short int) ≤ sizeof(int) ≤ sizeof(long int) ≤ sizeof(long long)</code> ，具体的存储空间由编译系统自行决定；其中，sizeof 是测量类型或变量、常量长度的运算符。</li><li>② short 至少 2 个字节，long 至少 4 个字节。</li><li>③ 之所以这么规定，是为了可以让 C 语言长久使用，因为目前主流的 CPU 都是 64 位，但是在 C语言刚刚出现的时候，CPU 还是以 8 位和 16 位为主。如果当时就将整型定死为 8 位或 16 位，那么现在我们肯定不会再学习 C 语言了。</li><li>④ 整型分为有符号 signed 和无符号 unsigned 两种，默认是 signed。</li><li>⑤ 在实际开发中，<code>最常用的整数类型</code>就是 <code>int</code> 类型了，如果取值范围不够，就使用 long 或 long long 。</li><li>⑥ C 语言中的<code>格式占位符</code>非常多，只需要大致了解即可；因为，我们在实际开发中，一般都会使用 C++ 或 Rust 以及其它的高级编程语言，如：Java 等，早已经解决了需要通过<code>格式占位符</code>来输入和输出变量。</li></ul></div><h3 id="_1-2-2-短整型-了解" tabindex="-1">1.2.2 短整型（了解） <a class="header-anchor" href="#_1-2-2-短整型-了解" aria-label="Permalink to &quot;1.2.2 短整型（了解）&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">unsigned</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> short</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 无符号短整型</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">short</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 有符号短整型</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 有符号表示的是正数、负数和 0 ，即有正负号。无符号表示的是 0 和正数，即正整数，没有符号。</li><li>② 在 <code>printf</code> 中<code>无符号短整型（unsigned short）</code>的<code>格式占位符</code>是 <code>%hu</code> ，<code>有符号短整型（signed short）</code>的<code>格式占位符</code>是 <code>%hd</code> 。</li><li>③ 可以通过 <code>sizeof</code> 运算符获取<code>无符号短整型（unsigned short）</code> 和 <code>有符号短整型（signed short）</code> 的<code>存储空间（所占内存空间）</code>。</li><li>③ 可以通过 <code>#include &lt;limits.h&gt;</code> 来获取 <code>无符号短整型（unsigned short）</code> 和<code>有符号短整型（signed short）</code>的<code>取值范围</code>。</li></ul></div><ul><li>示例：定义和打印短整型变量</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CZKtKhAm.js";const l="/c/assets/1.L8V3GBrc.png",p="/c/assets/2.BkF1yWLn.png",t="/c/assets/3.CceY8r_n.png",h="/c/assets/4.DHaUgOwj.png",k="/c/assets/5.CXGaq_zh.png",e="/c/assets/6.BrZYAEEl.png",r="/c/assets/7.DpCroFHv.png",d="/c/assets/8.Cr7P0Gji.png",E="/c/assets/9.NlBmD7pA.png",c="/c/assets/10.ZiBq6Pno.png",g="/c/assets/11.DAgmsf-w.png",F="/c/assets/12.B2iC37fw.png",y="/c/assets/14.BlE3ZFud.png",u="/c/assets/15.CdvhiwcU.png",b="/c/assets/16.D74t3-Xt.png",o="/c/assets/17.DdAZIfeP.png",C="/c/assets/18.B4Zfj2jX.png",m="/c/assets/19.IfpA0D5n.png",B="/c/assets/20.CfIzYazX.png",A="/c/assets/21.eHnZcbpI.png",D="/c/assets/22.BNoKlM4o.png",v="/c/assets/23.CMVtwrqr.png",q="/c/assets/24.CN19KJG7.png",f="/c/assets/25.BIhiJHjz.png",_="/c/assets/26.A_E4n4g8.png",x="/c/assets/27.Bv4qFbwF.png",z="/c/assets/28.IKaazo2J.png",w="/c/assets/29.CGTVELeO.png",I="/c/assets/30.Bz4_lEH0.gif",P="/c/assets/31.CcDWE4nn.png",T="/c/assets/32.B7y2_JVX.gif",N="/c/assets/33.Btcc3rs2.gif",L="/c/assets/34.CR4ARW8y.png",O="/c/assets/33.Btcc3rs2.gif",S="/c/assets/36.DOX3ymYP.gif",U="/c/assets/37.Cie9_tkP.gif",M="/c/assets/38.DLjH9Ges.png",$=JSON.parse('{"title":"第一章：数据类型（⭐）","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/03_xdx/index.md","filePath":"notes/01_c-basic/03_xdx/index.md","lastUpdated":1721697894000}'),X={name:"notes/01_c-basic/03_xdx/index.md"},R=n('<h1 id="第一章-数据类型-⭐" tabindex="-1">第一章：数据类型（⭐） <a class="header-anchor" href="#第一章-数据类型-⭐" aria-label="Permalink to &quot;第一章：数据类型（⭐）&quot;"></a></h1><h2 id="_1-1-概述" tabindex="-1">1.1 概述 <a class="header-anchor" href="#_1-1-概述" aria-label="Permalink to &quot;1.1 概述&quot;"></a></h2><ul><li><p>根据<code>变量</code>中<code>存储</code>的<code>值</code>的<code>不同</code>，我们可以将<code>变量</code>分为两类：</p><ul><li><code>普通变量</code>：变量所对应的内存中存储的是<code>普通值</code>。</li><li><code>指针变量</code>：变量所对应的内存中存储的是<code>另一个变量的地址</code>。</li></ul></li><li><p>如下图所示：</p></li></ul><p><img src="'+l+'" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>普通变量和指针变量的相同点：</p><ul><li>普通变量有内存空间，指针变量也有内存空间。</li><li>普通变量有内存地址，指针变量也有内存地址。</li><li>普通变量所对应的内存空间中有值，指针变量所对应的内存空间中也有值。</li></ul><p>普通变量和指针变量的不同点：</p><ul><li>普通变量所对应的内存空间存储的是普通的值，如：整数、小数、字符等；指针变量所对应的内存空间存储的是另外一个变量的地址。</li><li>普通变量有普通变量的运算方式，而指针变量有指针变量的运算方式（后续讲解）。</li></ul></div><ul><li>那么，在 C 语言中变量的数据类型就可以这么划分，如下所示：</li></ul><p><img src="'+p+`" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>根据<code>普通变量</code>中<code>存储</code>的<code>值</code>的类型不同，可以将<code>普通变量类型</code>划分为<code>基本数据类型</code>（整型、字符类型、浮点类型、布尔类型）和<code>复合数据类型</code>（数组类型、结构体类型、共用体类型、枚举类型）。</li><li>根据<code>指针变量</code>所<code>指向空间</code>中<code>存储</code>的<code>值</code>的类型不同，可以将<code>指针类型</code>分为<code>基本数据类型指针</code>、<code>复合数据类型指针</code>、<code>函数指针</code>、<code>数组指针</code>等，例如：如果指针所指向的空间保存的是 int 类型，那么该指针就是 int 类型的指针。</li></ul></div><h2 id="_1-2-整数类型" tabindex="-1">1.2 整数类型 <a class="header-anchor" href="#_1-2-整数类型" aria-label="Permalink to &quot;1.2 整数类型&quot;"></a></h2><h3 id="_1-2-1-概述" tabindex="-1">1.2.1 概述 <a class="header-anchor" href="#_1-2-1-概述" aria-label="Permalink to &quot;1.2.1 概述&quot;"></a></h3><ul><li>整数类型简称整型，用于存储整数值，如：12、20、50 等。</li><li>根据所占<code>内存空间</code>大小的不同，可以将整数类型划分为：</li><li>① 短整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned short （无符号短整型）</td><td>2 字节</td><td>0 ~ 65,535 (2^16 - 1)</td></tr><tr><td>[signed] short（有符号短整型，默认）</td><td>2 字节</td><td>-32,768 (- 2^15) ~ 32,767 (2^15 -1)</td></tr></tbody></table><ul><li>② 整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned int（无符号整型）</td><td>4 字节（通常）</td><td>0 ~ 4294967295 (0 ~2^32 -1)</td></tr><tr><td>[signed] int（有符号整型，默认）</td><td>4 字节（通常）</td><td>-2147483648（- 2^31） ~ 2147483647 (2^31-1)</td></tr></tbody></table><ul><li>③ 长整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned long（无符号长整型）</td><td>4 字节（通常）</td><td>0 ~2^32 -1</td></tr><tr><td>[signed] long（有符号长整型，默认）</td><td>4 字节（通常）</td><td>- 2^31 ~ 2^31-1</td></tr></tbody></table><ul><li>④ 长长整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned long long（无符号长整型）</td><td>8 字节（通常）</td><td>0 ~2^64 -1</td></tr><tr><td>[signed] long long（有符号长整型，默认）</td><td>8 字节（通常）</td><td>- 2^63 ~ 2^63-1</td></tr></tbody></table><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① C 语言默认没有规定各种数据类型所占存储单元的长度，但是通常需要遵守：<code>sizeof(short int) ≤ sizeof(int) ≤ sizeof(long int) ≤ sizeof(long long)</code> ，具体的存储空间由编译系统自行决定；其中，sizeof 是测量类型或变量、常量长度的运算符。</li><li>② short 至少 2 个字节，long 至少 4 个字节。</li><li>③ 之所以这么规定，是为了可以让 C 语言长久使用，因为目前主流的 CPU 都是 64 位，但是在 C语言刚刚出现的时候，CPU 还是以 8 位和 16 位为主。如果当时就将整型定死为 8 位或 16 位，那么现在我们肯定不会再学习 C 语言了。</li><li>④ 整型分为有符号 signed 和无符号 unsigned 两种，默认是 signed。</li><li>⑤ 在实际开发中，<code>最常用的整数类型</code>就是 <code>int</code> 类型了，如果取值范围不够，就使用 long 或 long long 。</li><li>⑥ C 语言中的<code>格式占位符</code>非常多，只需要大致了解即可；因为，我们在实际开发中，一般都会使用 C++ 或 Rust 以及其它的高级编程语言，如：Java 等，早已经解决了需要通过<code>格式占位符</code>来输入和输出变量。</li></ul></div><h3 id="_1-2-2-短整型-了解" tabindex="-1">1.2.2 短整型（了解） <a class="header-anchor" href="#_1-2-2-短整型-了解" aria-label="Permalink to &quot;1.2.2 短整型（了解）&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">unsigned</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> short</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 无符号短整型</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">short</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 有符号短整型</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 有符号表示的是正数、负数和 0 ，即有正负号。无符号表示的是 0 和正数，即正整数，没有符号。</li><li>② 在 <code>printf</code> 中<code>无符号短整型（unsigned short）</code>的<code>格式占位符</code>是 <code>%hu</code> ，<code>有符号短整型（signed short）</code>的<code>格式占位符</code>是 <code>%hd</code> 。</li><li>③ 可以通过 <code>sizeof</code> 运算符获取<code>无符号短整型（unsigned short）</code> 和 <code>有符号短整型（signed short）</code> 的<code>存储空间（所占内存空间）</code>。</li><li>③ 可以通过 <code>#include &lt;limits.h&gt;</code> 来获取 <code>无符号短整型（unsigned short）</code> 和<code>有符号短整型（signed short）</code>的<code>取值范围</code>。</li></ul></div><ul><li>示例：定义和打印短整型变量</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
 <span class="line"></span>
--- a/assets/notes_01_c-basic_03_xdx_index.md.BUQ_uNMg.lean.js
+++ b/assets/notes_01_c-basic_03_xdx_index.md.BUQ_uNMg.lean.js
@ -1 +1 @@
-import{_ as s,c as i,o as a,a5 as n}from"./chunks/framework.BE8if9e6.js";const l="/c/assets/1.L8V3GBrc.png",p="/c/assets/2.BkF1yWLn.png",t="/c/assets/3.CceY8r_n.png",h="/c/assets/4.DHaUgOwj.png",k="/c/assets/5.CXGaq_zh.png",e="/c/assets/6.BrZYAEEl.png",r="/c/assets/7.DpCroFHv.png",d="/c/assets/8.Cr7P0Gji.png",E="/c/assets/9.NlBmD7pA.png",c="/c/assets/10.ZiBq6Pno.png",g="/c/assets/11.DAgmsf-w.png",F="/c/assets/12.B2iC37fw.png",y="/c/assets/14.BlE3ZFud.png",u="/c/assets/15.CdvhiwcU.png",b="/c/assets/16.D74t3-Xt.png",o="/c/assets/17.DdAZIfeP.png",C="/c/assets/18.B4Zfj2jX.png",m="/c/assets/19.IfpA0D5n.png",B="/c/assets/20.CfIzYazX.png",A="/c/assets/21.eHnZcbpI.png",D="/c/assets/22.BNoKlM4o.png",v="/c/assets/23.CMVtwrqr.png",q="/c/assets/24.CN19KJG7.png",f="/c/assets/25.BIhiJHjz.png",_="/c/assets/26.A_E4n4g8.png",x="/c/assets/27.Bv4qFbwF.png",z="/c/assets/28.IKaazo2J.png",w="/c/assets/29.CGTVELeO.png",I="/c/assets/30.Bz4_lEH0.gif",P="/c/assets/31.CcDWE4nn.png",T="/c/assets/32.B7y2_JVX.gif",N="/c/assets/33.Btcc3rs2.gif",L="/c/assets/34.CR4ARW8y.png",O="/c/assets/33.Btcc3rs2.gif",S="/c/assets/36.DOX3ymYP.gif",U="/c/assets/37.Cie9_tkP.gif",M="/c/assets/38.DLjH9Ges.png",$=JSON.parse('{"title":"第一章：数据类型（⭐）","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/03_xdx/index.md","filePath":"notes/01_c-basic/03_xdx/index.md","lastUpdated":1721697894000}'),X={name:"notes/01_c-basic/03_xdx/index.md"},R=n("",333),j=[R];function G(H,J,K,V,Z,W){return a(),i("div",null,j)}const Q=s(X,[["render",G]]);export{$ as __pageData,Q as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CZKtKhAm.js";const l="/c/assets/1.L8V3GBrc.png",p="/c/assets/2.BkF1yWLn.png",t="/c/assets/3.CceY8r_n.png",h="/c/assets/4.DHaUgOwj.png",k="/c/assets/5.CXGaq_zh.png",e="/c/assets/6.BrZYAEEl.png",r="/c/assets/7.DpCroFHv.png",d="/c/assets/8.Cr7P0Gji.png",E="/c/assets/9.NlBmD7pA.png",c="/c/assets/10.ZiBq6Pno.png",g="/c/assets/11.DAgmsf-w.png",F="/c/assets/12.B2iC37fw.png",y="/c/assets/14.BlE3ZFud.png",u="/c/assets/15.CdvhiwcU.png",b="/c/assets/16.D74t3-Xt.png",o="/c/assets/17.DdAZIfeP.png",C="/c/assets/18.B4Zfj2jX.png",m="/c/assets/19.IfpA0D5n.png",B="/c/assets/20.CfIzYazX.png",A="/c/assets/21.eHnZcbpI.png",D="/c/assets/22.BNoKlM4o.png",v="/c/assets/23.CMVtwrqr.png",q="/c/assets/24.CN19KJG7.png",f="/c/assets/25.BIhiJHjz.png",_="/c/assets/26.A_E4n4g8.png",x="/c/assets/27.Bv4qFbwF.png",z="/c/assets/28.IKaazo2J.png",w="/c/assets/29.CGTVELeO.png",I="/c/assets/30.Bz4_lEH0.gif",P="/c/assets/31.CcDWE4nn.png",T="/c/assets/32.B7y2_JVX.gif",N="/c/assets/33.Btcc3rs2.gif",L="/c/assets/34.CR4ARW8y.png",O="/c/assets/33.Btcc3rs2.gif",S="/c/assets/36.DOX3ymYP.gif",U="/c/assets/37.Cie9_tkP.gif",M="/c/assets/38.DLjH9Ges.png",$=JSON.parse('{"title":"第一章：数据类型（⭐）","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/03_xdx/index.md","filePath":"notes/01_c-basic/03_xdx/index.md","lastUpdated":1721697894000}'),X={name:"notes/01_c-basic/03_xdx/index.md"},R=n("",333),j=[R];function G(H,J,K,V,Z,W){return a(),i("div",null,j)}const Q=s(X,[["render",G]]);export{$ as __pageData,Q as default};
--- a/assets/notes_01_c-basic_04_xdx_index.md.CwyFE3Gl.js
+++ b/assets/notes_01_c-basic_04_xdx_index.md.CwyFE3Gl.js
@ -1,4 +1,4 @@
-import{_ as l,c as a,j as s,a5 as i,o as n}from"./chunks/framework.BE8if9e6.js";const p="/c/assets/1.CTMA-Poz.jpg",h="/c/assets/2.B2g4y1OY.png",k="/c/assets/3.DEoM0p3m.png",t="/c/assets/4.DxEoA7Ht.png",e="/c/assets/5.DtY5Pf6u.png",r="/c/assets/6.CButBugT.png",E="/c/assets/7.DG_I9X5w.png",d="/c/assets/8.Cw8LCRHN.png",g="/c/assets/9.TqkSPw2X.png",c="/c/assets/10.DJkVOkw7.png",y="/c/assets/11.Bkdbe2NL.png",F="/c/assets/12.D2yeCvfw.png",H=JSON.parse('{"title":"第一章：概述","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/04_xdx/index.md","filePath":"notes/01_c-basic/04_xdx/index.md","lastUpdated":1721701891000}'),b={name:"notes/01_c-basic/04_xdx/index.md"},u=i('<h1 id="第一章-概述" tabindex="-1">第一章：概述 <a class="header-anchor" href="#第一章-概述" aria-label="Permalink to &quot;第一章：概述&quot;"></a></h1><ul><li><p><code>流程控制结构</code>是用来控制程序中<code>各语句执行顺序</code>的语句，并且可以将语句组合成能<code>完成一定功能</code>的<code>小逻辑模块</code>。</p></li><li><p>在程序设计中规定了<code>三种</code>流程结构，如下所示：</p><ul><li><code>顺序结构</code>：程序从上到下逐行执行，中间没有任何判断和跳转。</li><li><code>分支结构</code>：根据条件，有选择的执行某段代码。在 C 语言中，有 <code>if...else</code> 和 <code>switch...case</code> 两种分支语句。</li><li><code>循环结构</code>：根据循环条件，重复性的执行某段代码。在 C 语言中，有 <code>for</code>、<code>while</code>、<code>do...while</code> 三种循环结构。</li></ul></li><li><p>在生活中的<code>洗衣工厂</code>，就包含了上述的三种流程结构，如下所示：</p></li></ul><p><img src="'+p+'" alt=""></p><h1 id="第二章-顺序结构" tabindex="-1">第二章：顺序结构 <a class="header-anchor" href="#第二章-顺序结构" aria-label="Permalink to &quot;第二章：顺序结构&quot;"></a></h1><h2 id="_2-1-概述" tabindex="-1">2.1 概述 <a class="header-anchor" href="#_2-1-概述" aria-label="Permalink to &quot;2.1 概述&quot;"></a></h2><ul><li>程序从上到下逐行地执行，表达式语句都是顺序执行的，并且上一行对某个变量的修改对下一行会产生影响。</li></ul><p><img src="'+h+`" alt=""></p><h2 id="_2-2-应用示例" tabindex="-1">2.2 应用示例 <a class="header-anchor" href="#_2-2-应用示例" aria-label="Permalink to &quot;2.2 应用示例&quot;"></a></h2><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+import{_ as l,c as a,j as s,a6 as i,o as n}from"./chunks/framework.CZKtKhAm.js";const p="/c/assets/1.CTMA-Poz.jpg",h="/c/assets/2.B2g4y1OY.png",k="/c/assets/3.DEoM0p3m.png",t="/c/assets/4.DxEoA7Ht.png",e="/c/assets/5.DtY5Pf6u.png",r="/c/assets/6.CButBugT.png",E="/c/assets/7.DG_I9X5w.png",d="/c/assets/8.Cw8LCRHN.png",g="/c/assets/9.TqkSPw2X.png",c="/c/assets/10.DJkVOkw7.png",y="/c/assets/11.Bkdbe2NL.png",F="/c/assets/12.D2yeCvfw.png",H=JSON.parse('{"title":"第一章：概述","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/04_xdx/index.md","filePath":"notes/01_c-basic/04_xdx/index.md","lastUpdated":1721701891000}'),b={name:"notes/01_c-basic/04_xdx/index.md"},u=i('<h1 id="第一章-概述" tabindex="-1">第一章：概述 <a class="header-anchor" href="#第一章-概述" aria-label="Permalink to &quot;第一章：概述&quot;"></a></h1><ul><li><p><code>流程控制结构</code>是用来控制程序中<code>各语句执行顺序</code>的语句，并且可以将语句组合成能<code>完成一定功能</code>的<code>小逻辑模块</code>。</p></li><li><p>在程序设计中规定了<code>三种</code>流程结构，如下所示：</p><ul><li><code>顺序结构</code>：程序从上到下逐行执行，中间没有任何判断和跳转。</li><li><code>分支结构</code>：根据条件，有选择的执行某段代码。在 C 语言中，有 <code>if...else</code> 和 <code>switch...case</code> 两种分支语句。</li><li><code>循环结构</code>：根据循环条件，重复性的执行某段代码。在 C 语言中，有 <code>for</code>、<code>while</code>、<code>do...while</code> 三种循环结构。</li></ul></li><li><p>在生活中的<code>洗衣工厂</code>，就包含了上述的三种流程结构，如下所示：</p></li></ul><p><img src="'+p+'" alt=""></p><h1 id="第二章-顺序结构" tabindex="-1">第二章：顺序结构 <a class="header-anchor" href="#第二章-顺序结构" aria-label="Permalink to &quot;第二章：顺序结构&quot;"></a></h1><h2 id="_2-1-概述" tabindex="-1">2.1 概述 <a class="header-anchor" href="#_2-1-概述" aria-label="Permalink to &quot;2.1 概述&quot;"></a></h2><ul><li>程序从上到下逐行地执行，表达式语句都是顺序执行的，并且上一行对某个变量的修改对下一行会产生影响。</li></ul><p><img src="'+h+`" alt=""></p><h2 id="_2-2-应用示例" tabindex="-1">2.2 应用示例 <a class="header-anchor" href="#_2-2-应用示例" aria-label="Permalink to &quot;2.2 应用示例&quot;"></a></h2><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
 <span class="line"></span>
--- a/assets/notes_01_c-basic_04_xdx_index.md.CwyFE3Gl.lean.js
+++ b/assets/notes_01_c-basic_04_xdx_index.md.CwyFE3Gl.lean.js
@ -1 +1 @@
-import{_ as l,c as a,j as s,a5 as i,o as n}from"./chunks/framework.BE8if9e6.js";const p="/c/assets/1.CTMA-Poz.jpg",h="/c/assets/2.B2g4y1OY.png",k="/c/assets/3.DEoM0p3m.png",t="/c/assets/4.DxEoA7Ht.png",e="/c/assets/5.DtY5Pf6u.png",r="/c/assets/6.CButBugT.png",E="/c/assets/7.DG_I9X5w.png",d="/c/assets/8.Cw8LCRHN.png",g="/c/assets/9.TqkSPw2X.png",c="/c/assets/10.DJkVOkw7.png",y="/c/assets/11.Bkdbe2NL.png",F="/c/assets/12.D2yeCvfw.png",H=JSON.parse('{"title":"第一章：概述","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/04_xdx/index.md","filePath":"notes/01_c-basic/04_xdx/index.md","lastUpdated":1721701891000}'),b={name:"notes/01_c-basic/04_xdx/index.md"},u=i("",84),o={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},m={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.977ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 13250 1000","aria-hidden":"true"},C=i("",1),B=[C],A=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"["),s("msub",null,[s("mi",null,"X"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])]),s("mo",null,"="),s("mo",{stretchy:"false"},"("),s("mi",null,"a"),s("mo",null,"⋅"),s("msub",null,[s("mi",null,"X"),s("mi",null,"n")]),s("mo",null,"+"),s("mi",null,"c"),s("mo",{stretchy:"false"},")"),s("mspace",{width:"0.667em"}),s("mi",null,"mod"),s("mstyle",{scriptlevel:"0"},[s("mspace",{width:"0.167em"})]),s("mstyle",{scriptlevel:"0"},[s("mspace",{width:"0.167em"})]),s("mi",null,"m"),s("mo",{stretchy:"false"},"]")])],-1),D=i("",121);function v(q,f,Q,T,_,x){return n(),a("div",null,[u,s("p",null,[s("mjx-container",o,[(n(),a("svg",m,B)),A])]),D])}const P=l(b,[["render",v]]);export{H as __pageData,P as default};
+import{_ as l,c as a,j as s,a6 as i,o as n}from"./chunks/framework.CZKtKhAm.js";const p="/c/assets/1.CTMA-Poz.jpg",h="/c/assets/2.B2g4y1OY.png",k="/c/assets/3.DEoM0p3m.png",t="/c/assets/4.DxEoA7Ht.png",e="/c/assets/5.DtY5Pf6u.png",r="/c/assets/6.CButBugT.png",E="/c/assets/7.DG_I9X5w.png",d="/c/assets/8.Cw8LCRHN.png",g="/c/assets/9.TqkSPw2X.png",c="/c/assets/10.DJkVOkw7.png",y="/c/assets/11.Bkdbe2NL.png",F="/c/assets/12.D2yeCvfw.png",H=JSON.parse('{"title":"第一章：概述","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/04_xdx/index.md","filePath":"notes/01_c-basic/04_xdx/index.md","lastUpdated":1721701891000}'),b={name:"notes/01_c-basic/04_xdx/index.md"},u=i("",84),o={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},m={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.977ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 13250 1000","aria-hidden":"true"},C=i("",1),B=[C],A=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mo",{stretchy:"false"},"["),s("msub",null,[s("mi",null,"X"),s("mrow",{"data-mjx-texclass":"ORD"},[s("mi",null,"n"),s("mo",null,"+"),s("mn",null,"1")])]),s("mo",null,"="),s("mo",{stretchy:"false"},"("),s("mi",null,"a"),s("mo",null,"⋅"),s("msub",null,[s("mi",null,"X"),s("mi",null,"n")]),s("mo",null,"+"),s("mi",null,"c"),s("mo",{stretchy:"false"},")"),s("mspace",{width:"0.667em"}),s("mi",null,"mod"),s("mstyle",{scriptlevel:"0"},[s("mspace",{width:"0.167em"})]),s("mstyle",{scriptlevel:"0"},[s("mspace",{width:"0.167em"})]),s("mi",null,"m"),s("mo",{stretchy:"false"},"]")])],-1),D=i("",121);function v(q,f,Q,T,_,x){return n(),a("div",null,[u,s("p",null,[s("mjx-container",o,[(n(),a("svg",m,B)),A])]),D])}const P=l(b,[["render",v]]);export{H as __pageData,P as default};
--- a/assets/notes_01_c-basic_05_xdx_index.md.aZr9FRYL.js
+++ b/assets/notes_01_c-basic_05_xdx_index.md.aZr9FRYL.js
@ -0,0 +1,608 @@
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CZKtKhAm.js";const l="/c/assets/1.CvTjP5jN.png",h="/c/assets/2.BR4TvWzU.png",p="/c/assets/3.hr3pCY5b.png",k="/c/assets/4.CgvWfxq4.png",t="/c/assets/5.DSekQATc.png",e="/c/assets/6.DjtEKfCa.png",r="/c/assets/7.BTWPdsCm.png",E="/c/assets/8.EoNXwZXz.png",d="/c/assets/9.iU-LaFqX.png",g="/c/assets/10.DYoXU9E6.jpg",y="/c/assets/11.DWDH3yqc.png",F="/c/assets/12.BvBjpbbE.png",c="/c/assets/13.CmPe90qp.png",b="/c/assets/14.MepLJvOt.jpg",u="/c/assets/15.CZUo3kuI.png",C="/c/assets/16.t7xuKRuB.png",o="/c/assets/17.Bkm40EoU.png",m="/c/assets/18.D0Mtsawg.png",B="/c/assets/19.C-mmUOKp.png",A="/c/assets/20.BvSSXPdI.png",D="/c/assets/21.uaya_nVR.png",N=JSON.parse('{"title":"第一章：数组的概念","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/05_xdx/index.md","filePath":"notes/01_c-basic/05_xdx/index.md","lastUpdated":1721806726000}'),v={name:"notes/01_c-basic/05_xdx/index.md"},q=n(`<h1 id="第一章-数组的概念" tabindex="-1">第一章：数组的概念 <a class="header-anchor" href="#第一章-数组的概念" aria-label="Permalink to &quot;第一章：数组的概念&quot;"></a></h1><h2 id="_1-1-为什么需要数组" tabindex="-1">1.1 为什么需要数组？ <a class="header-anchor" href="#_1-1-为什么需要数组" aria-label="Permalink to &quot;1.1 为什么需要数组？&quot;"></a></h2><h3 id="_1-1-1-需求分析-1" tabindex="-1">1.1.1 需求分析 1 <a class="header-anchor" href="#_1-1-1-需求分析-1" aria-label="Permalink to &quot;1.1.1 需求分析 1&quot;"></a></h3><ul><li>需要统计某公司 50 个员工的工资情况，例如：计算平均工资、最高工资等。如果使用之前的知识，我们需要声明 50 个变量来分别记录每位员工的工资，即：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(){</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    </span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num3 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    ...</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第 1 个员工的工资：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num1);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第 2 个员工的工资：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num2);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第 3 个员工的工资：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num3);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    ...   </span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br></div></div><ul><li>这样会感觉特别机械和麻烦（全是复制（Ctrl + c）和粘贴（Ctrl + v），CV 大法）；此时，我们就可以将所有的<code>数据</code>全部存储到一个<code>容器（数组）</code>中进行统一管理，并进行其它的操作，如：求最值、求平均值等，如下所示：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(){</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 声明数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> nums</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">50</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(nums) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 使用 for 循环向数组中添加值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length;i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">){</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第 &amp;d 个员工的工资：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,i);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">num</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 其它操作，如：求最值，求平均值等</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    ...        </span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br></div></div><h3 id="_1-1-2-需求分析-2" tabindex="-1">1.1.2 需求分析 2 <a class="header-anchor" href="#_1-1-2-需求分析-2" aria-label="Permalink to &quot;1.1.2 需求分析 2&quot;"></a></h3><ul><li>在现实生活中，我们会使用很多 APP 或微信小程序等，即：</li></ul><p><img src="`+l+'" alt=""></p><ul><li>同样的道理，如果我们使用变量来存储每个商品信息，那么就需要非常多的变量；但是，如果我们将这些<code>商品信息</code>都存储到一个<code>容器（数组）</code>中，进行统一管理，对之后的数据处理将会非常方便。</li></ul><h3 id="_1-1-3-容器的概念" tabindex="-1">1.1.3 容器的概念 <a class="header-anchor" href="#_1-1-3-容器的概念" aria-label="Permalink to &quot;1.1.3 容器的概念&quot;"></a></h3><ul><li><code>生活中的容器</code>：水杯（装水、饮料的容器）、衣柜（装衣服等物品的容器）、集装箱（装货物等物品的容器）。</li><li><code>程序中的容器</code>：将多个数据存储到一起，并且每个数据称为该容器中的元素。</li></ul><h2 id="_1-2-什么是数组" tabindex="-1">1.2 什么是数组？ <a class="header-anchor" href="#_1-2-什么是数组" aria-label="Permalink to &quot;1.2 什么是数组？&quot;"></a></h2><ul><li>数组（Array）是将多个<code>相同数据类型</code>的<code>数据</code>按照一定的顺序排序的<code>集合</code>，并使用一个<code>标识符</code>命名，以及通过<code>编号（索引，亦称为下标）</code>的方式对这些数据进行统一管理。</li></ul><p><img src="'+h+`" alt=""></p><h2 id="_1-3-数组的相关概念" tabindex="-1">1.3 数组的相关概念 <a class="header-anchor" href="#_1-3-数组的相关概念" aria-label="Permalink to &quot;1.3 数组的相关概念&quot;"></a></h2><ul><li><code>数组名</code>：本质上是一个标识符常量，命名需要符合标识符规则和规范。</li><li><code>元素</code>：同一个数组中的元素必须是相同的数据类型。</li><li><code>索引（下标）</code>：从 0 开始的连续数字。</li><li><code>数组的长度</code>：就是元素的个数。</li></ul><h2 id="_1-4-数组的特点" tabindex="-1">1.4 数组的特点 <a class="header-anchor" href="#_1-4-数组的特点" aria-label="Permalink to &quot;1.4 数组的特点&quot;"></a></h2><ul><li>① 创建数组的时候，会在内存中开辟一整块<code>连续的空间</code>，占据空间的大小，取决于数组的长度和数组中元素的类型。</li><li>② 数组中的元素在内存中是依次紧密排列且有序的。</li><li>③ 数组一旦初始化完成，且长度就确定的，并且<code>数组的长度一旦确定，就不能更改</code>。</li><li>④ 我们可以直接通过索引（下标）来获取指定位置的元素，速度很快。</li><li>⑤ 数组名中引用的是这块连续空间的首地址。</li></ul><h1 id="第二章-数组的操作-⭐" tabindex="-1">第二章：数组的操作（⭐） <a class="header-anchor" href="#第二章-数组的操作-⭐" aria-label="Permalink to &quot;第二章：数组的操作（⭐）&quot;"></a></h1><h2 id="_2-1-数组的定义" tabindex="-1">2.1 数组的定义 <a class="header-anchor" href="#_2-1-数组的定义" aria-label="Permalink to &quot;2.1 数组的定义&quot;"></a></h2><h3 id="_2-1-1-动态初始化" tabindex="-1">2.1.1 动态初始化 <a class="header-anchor" href="#_2-1-1-动态初始化" aria-label="Permalink to &quot;2.1.1 动态初始化&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[元素个数</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">长度];</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 数据类型：表示的是数组中每一个元素的数据类型。</li><li>② 数组名：必须符合标识符规则和规范。</li><li>③ 元素个数或长度：表示的是数组中最多可以容纳多少个元素（不能是负数、也不能是 0 ）。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 先指定元素的个数和类型，再进行初始化</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 给数组元素赋值</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 20</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 30</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br></div></div><h3 id="_2-1-2-静态初始化-1" tabindex="-1">2.1.2 静态初始化 1 <a class="header-anchor" href="#_2-1-2-静态初始化-1" aria-label="Permalink to &quot;2.1.2 静态初始化 1&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[元素个数</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">长度] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {元素1,元素2,...}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 静态部分初始化：如果数组初始化的元素个数<code>小于</code>数组声明的长度，那么就会从数组开始位置依次赋值，不够的就补 0 。</li><li>② 静态全部初始化：数组初始化的元素个数<code>等于</code>数组的长度。</li></ul></div><ul><li><p>技巧：</p><ul><li>在 CLion 中可以开启<code>聚合初始化</code>功能，即：</li></ul><p><img src="`+p+'" alt=""></p><ul><li>这样，在 CLion 中，将会显示数组初始化中的元素索引，即：</li></ul><p><img src="'+k+`" alt=""></p></li><li><p>示例：静态部分初识化</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和部分初始化：</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 会将给定的值从数组的开始位置一个个的赋值，没有赋值的地方，用 0 填充</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br></div></div><ul><li>示例：静态全部初始化</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和全部初始化：数组初始化的元素个数等于数组的长度。</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br></div></div><h3 id="_2-1-3-静态初始化-2" tabindex="-1">2.1.3 静态初始化 2 <a class="header-anchor" href="#_2-1-3-静态初始化-2" aria-label="Permalink to &quot;2.1.3 静态初始化 2&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {元素1,元素2,...}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>没有给出数组中元素的个数，将由系统根据初始化的元素，自动推断出数组中元素的个数。</p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 指定元素的类型，不指定元素个数，同时进行初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br></div></div><h2 id="_2-2-访问数组元素" tabindex="-1">2.2 访问数组元素 <a class="header-anchor" href="#_2-2-访问数组元素" aria-label="Permalink to &quot;2.2 访问数组元素&quot;"></a></h2><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数组名[索引</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">下标];</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>假设数组 <code>arr</code> 有 n 个元素，如果使用的数组的下标 <code>&lt; 0</code> 或 <code>&gt; n-1</code> ，那么将会产生数组越界访问，即超出了数组合法空间的访问；那么，数组的索引范围是 <code>[0,arr.length - 1]</code>。</p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 先指定元素的个数和类型，再进行初始化</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 给数组元素赋值</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 20</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 30</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 10</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 20</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 30</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br></div></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和部分初始化：</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 会将给定的值从数组的开始位置一个个的赋值，没有赋值的地方，用 0 填充</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 1</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 2</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 0</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[3] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[3] = 0</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[4] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[4] = 0</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br></div></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 指定元素的类型，不指定元素个数，同时进行初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 1</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 2</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 3</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[3] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[3] = 4</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[4] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[4] = 5</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br></div></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和全部初始化：数组初始化的元素个数等于数组的长度。</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 1</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 2</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 3</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[3] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[3] = 4</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[4] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[4] = 5</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br></div></div><h2 id="_2-3-数组越界" tabindex="-1">2.3 数组越界 <a class="header-anchor" href="#_2-3-数组越界" aria-label="Permalink to &quot;2.3 数组越界&quot;"></a></h2><ul><li>数组下标必须在指定范围内使用，超出范围视为越界。</li></ul><p><img src="`+t+`" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① C 语言是不会做数组下标越界的检查，并且编译器也不会报错；但是，编译器不报错，并不意味着程序就是正确！</li><li>② 在其它高级编程语言，如：Java、JavaScript、Rust 等中，如果数组越界访问，编译器是会直接报错的！！！</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和全部初始化：数组初始化的元素个数等于数组的长度。</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 1</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 2</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 3</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[3] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[3] = 4</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[4] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[4] = 5</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[-1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 得到的是不确定的结果</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[5] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 得到的是不确定的结果</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br></div></div><h2 id="_2-4-计算数组的长度" tabindex="-1">2.4 计算数组的长度 <a class="header-anchor" href="#_2-4-计算数组的长度" aria-label="Permalink to &quot;2.4 计算数组的长度&quot;"></a></h2><ul><li>数组长度（元素个数）是在数组定义的时候明确指定且固定的，我们不能在运行的时候直接获取数组长度；但是，我们可以通过 sizeof 运算符间接计算出数组的长度。</li><li>计算步骤，如下所示： <ul><li>① 使用 sizeof 运算符计算出整个数组的字节长度。</li><li>② 由于数组成员是同一数据类型；那么，每个元素的字节长度一定相等，那么<code>数组的长度 = 整个数组的字节长度 ÷ 单个元素的字节长度 </code>。</li></ul></li></ul><p><img src="`+e+`" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 在很多编程语言中，都内置了获取数组的长度的属性或方法，如：Java 中的 arr.length 或 Rust 的 arr.len()。</li><li>② 但是，C 语言没有内置的获取数组长度的属性或方法，只能通过 sizeof 运算符间接来计算得到。</li><li>③ 数组一旦<code>声明</code>或<code>定义</code>，其<code>长度</code>就<code>固定</code>了，<code>不能动态变化</code>。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和全部初始化：数组初始化的元素个数等于数组的长度。</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br></div></div><h2 id="_2-5-遍历数组" tabindex="-1">2.5 遍历数组 <a class="header-anchor" href="#_2-5-遍历数组" aria-label="Permalink to &quot;2.5 遍历数组&quot;"></a></h2><ul><li><p>遍历数组是指按顺序访问数组中的每个元素，以便读取或修改它们，编程中一般使用循环结构对数组进行遍历。</p></li><li><p>示例：声明一个存储有 12、2、31、24、15、36、67、108、29、51 的数组，并遍历数组所有元素</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br></div></div><ul><li>示例：声明长度为 10 的 int 类型数组，给数组元素依次赋值为 0 ~ 9 ，并遍历数组所有元素</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 给数组的每个元素赋值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br></div></div><h2 id="_2-6-一维数组的内存分析" tabindex="-1">2.6 一维数组的内存分析 <a class="header-anchor" href="#_2-6-一维数组的内存分析" aria-label="Permalink to &quot;2.6 一维数组的内存分析&quot;"></a></h2><h3 id="_2-6-1-数组内存图" tabindex="-1">2.6.1 数组内存图 <a class="header-anchor" href="#_2-6-1-数组内存图" aria-label="Permalink to &quot;2.6.1 数组内存图&quot;"></a></h3><ul><li>假设数组是如下的定义：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>那么，对应的内存结构，如下所示：</li></ul><p><img src="`+r+`" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 数组名 <code>arr</code> 就是记录该数组的首地址，即 <code>arr[0]</code> 的地址。</li><li>② 数组中的各个元素是连续分布的，假设 <code>arr[0]</code> 的地址是 <code>0xdea7bff880</code>，则 <code>arr[1] 的地址 = arr[0] 的地址 + int 字节数（4） = 0xdea7bff880 + 4 = 0xdea7bff884</code> ，依次类推...</li></ul></div><ul><li>在 C 语言中，我们可以通过 <code>&amp;arr</code> 或 <code>&amp;arr[0]</code> 等形式获取数组或数组元素的地址，即：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 给数组的每个元素赋值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的地址是 = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%p\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, arr);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组元素 </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 的地址是 = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%p\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i], </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br></div></div><h3 id="_2-6-2-数组的注意事项" tabindex="-1">2.6.2 数组的注意事项 <a class="header-anchor" href="#_2-6-2-数组的注意事项" aria-label="Permalink to &quot;2.6.2 数组的注意事项&quot;"></a></h3><ul><li><code>C 语言规定，数组一旦声明，数组名指向的地址将不可更改</code>。因为在声明数组的时候，编译器会自动会数组分配内存地址，这个地址和数组名是绑定的，不可更改。</li></ul><div class="warning custom-block github-alert"><p class="custom-block-title">WARNING</p><p></p><p>如果之后试图更改数组名对应的地址，编译器就会报错。</p></div><ul><li>示例：错误演示</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> num</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 声明数组</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">// 使用大括号重新赋值是不允许的，必须在数组声明的时候赋值，否则编译将会报错</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">} ;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 报错</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><ul><li>示例：错误演示</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">// 使用大括号重新赋值是不允许的，必须在数组声明的时候赋值，否则编译将会报错</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 报错</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><ul><li>示例：错误演示</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> num</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> NULL</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 报错，需要和 Java 区别一下，在 C 中不可以</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><ul><li>示例：错误演示</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">} </span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> b</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a ;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 报错，需要和 Java 区别一下，在 C 中不可以</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><h2 id="_2-7-数组应用案例" tabindex="-1">2.7 数组应用案例 <a class="header-anchor" href="#_2-7-数组应用案例" aria-label="Permalink to &quot;2.7 数组应用案例&quot;"></a></h2><h3 id="_2-7-1-应用示例" tabindex="-1">2.7.1 应用示例 <a class="header-anchor" href="#_2-7-1-应用示例" aria-label="Permalink to &quot;2.7.1 应用示例&quot;"></a></h3><ul><li><p>需求：计算数组中所有元素的和以及平均数。</p></li><li><p>示例：</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 变量保存总和</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> avg </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length;</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的和为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, sum);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 数组的和为：375</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的平均值为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, avg);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> //数组的平均值为：37.50</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br></div></div><h3 id="_2-7-2-应用示例" tabindex="-1">2.7.2 应用示例 <a class="header-anchor" href="#_2-7-2-应用示例" aria-label="Permalink to &quot;2.7.2 应用示例&quot;"></a></h3><ul><li>需求：计算数组的最值（最大值和最小值）。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>思路：</p><ul><li>① 假设数组中的第一个元素是最大值或最小值，并使用变量 max 或 min 保存。</li><li>② 遍历数组中的每个元素： <ul><li>如果有元素比最大值还要大，就让变量 max 保存最大值。</li><li>如果有元素比最小值还要小，就让变量 min 保存最小值。</li></ul></li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义最大值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> max </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义最小值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> min </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&gt;=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> max) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            max </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> min) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            min </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的最大值为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, max);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 数组的最大值为：108</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的最小值为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, min);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 数组的最小值为：-36</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br></div></div><h3 id="_2-7-3-应用示例" tabindex="-1">2.7.3 应用示例 <a class="header-anchor" href="#_2-7-3-应用示例" aria-label="Permalink to &quot;2.7.3 应用示例&quot;"></a></h3><ul><li><p>需求：统计数组中某个元素出现的次数，要求：使用无限循环，如果输入的数字是 0 ，就退出。</p></li><li><p>示例：</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;当前数组中的元素是：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 无限循环</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    while</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 统计的数字</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num;</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 统计数字出现的次数</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> count </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 输入数字</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入要统计的数字：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 0 作为结束条件</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            break</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 遍历数组，并计数</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                count</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;您输入的数字 </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 在数组中出现了 </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 次</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, num, count);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br><span class="line-number">34</span><br><span class="line-number">35</span><br><span class="line-number">36</span><br><span class="line-number">37</span><br><span class="line-number">38</span><br><span class="line-number">39</span><br><span class="line-number">40</span><br><span class="line-number">41</span><br><span class="line-number">42</span><br><span class="line-number">43</span><br><span class="line-number">44</span><br><span class="line-number">45</span><br></div></div><h3 id="_2-7-4-应用示例" tabindex="-1">2.7.4 应用示例 <a class="header-anchor" href="#_2-7-4-应用示例" aria-label="Permalink to &quot;2.7.4 应用示例&quot;"></a></h3><ul><li><p>需求：将数组 a 中的全部元素复制到数组 b 中。</p></li><li><p>示例：</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#define</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">  SIZE</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> b</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[SIZE];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 复制数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        b</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> a</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印数组 b 中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">b</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br></div></div><h3 id="_2-7-5-应用示例" tabindex="-1">2.7.5 应用示例 <a class="header-anchor" href="#_2-7-5-应用示例" aria-label="Permalink to &quot;2.7.5 应用示例&quot;"></a></h3><ul><li>需求：数组对称位置的元素互换。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>思路：假设数组一共有 10 个元素，那么：</p><ul><li>a[0] 和 a[9] 互换。</li><li>a[1] 和 a[8] 互换。</li><li>...</li></ul><p>规律就是 <code>a[i] &lt;--互换--&gt; arr[arr.length -1 -i]</code></p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 原始数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    </span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印原始数组中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;原始数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 交换数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp          </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]            </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印交换后的数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;交换后数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br></div></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 原始数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印原始数组中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;原始数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 交换数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">--</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]   </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[j];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[j]   </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印交换后的数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;交换后数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br></div></div><h3 id="_2-7-6-应用示例" tabindex="-1">2.7.6 应用示例 <a class="header-anchor" href="#_2-7-6-应用示例" aria-label="Permalink to &quot;2.7.6 应用示例&quot;"></a></h3><ul><li>需求：将数组中的最大值移动到数组的最末尾。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>思路：从数组的下标 <code>0</code> 开始依次遍历到 <code>length - 1</code> ，如果 <code>i</code> 下标当前的值比 <code>i+1</code> 下标的值大，则交换；否则，就不交换。</p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 原始数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">891</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印原始数组中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;原始数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 移动最大值到数组的最后一个位置</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&gt;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp   </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">            arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]     </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">            arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印移动之后的数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;移动之后的数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br><span class="line-number">34</span><br><span class="line-number">35</span><br></div></div><h3 id="_2-7-7-应用示例" tabindex="-1">2.7.7 应用示例 <a class="header-anchor" href="#_2-7-7-应用示例" aria-label="Permalink to &quot;2.7.7 应用示例&quot;"></a></h3><ul><li>需求：实现冒泡排序，即将数组的元素从小到大排列。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>思路：一层循环，能实现最大值移动到数组的最后；那么，二层循环（控制内部循环数组的长度）就能实现将数组的元素从小到大排序。</p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 原始数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">891</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印原始数组中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;原始数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&gt;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">                int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">                arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">                arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印移动之后的数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;移动之后的数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br><span class="line-number">34</span><br><span class="line-number">35</span><br><span class="line-number">36</span><br></div></div><h1 id="第三章-多维数组-⭐" tabindex="-1">第三章：多维数组（⭐） <a class="header-anchor" href="#第三章-多维数组-⭐" aria-label="Permalink to &quot;第三章：多维数组（⭐）&quot;"></a></h1><h2 id="_3-1-概述" tabindex="-1">3.1 概述 <a class="header-anchor" href="#_3-1-概述" aria-label="Permalink to &quot;3.1 概述&quot;"></a></h2><h3 id="_3-1-1-引入" tabindex="-1">3.1.1 引入 <a class="header-anchor" href="#_3-1-1-引入" aria-label="Permalink to &quot;3.1.1 引入&quot;"></a></h3><ul><li><p>我们在数学、物理和计算机科学等学科中学习过<code>一维坐标</code>、<code>二维坐标</code>以及<code>三维坐标</code>。</p></li><li><p>其中，<code>一维坐标</code>通常用于描述在线段或直线上的点的位置，主要应用有：</p><ul><li><strong>数轴</strong>：一维坐标可以用来表示数轴上的数值位置，这在基础数学和初等代数中非常常见。</li></ul><p><img src="`+E+'" alt=""></p><ul><li><strong>时间轴</strong>：时间可以看作是一维的，它可以用一维坐标表示，例如：秒、分钟、小时等。</li></ul><p><img src="'+d+'" alt=""></p><ul><li><strong>统计数据</strong>：一维坐标常用于表示单变量的数据集，如：测量身高、体重、温度等。</li></ul><p><img src="'+g+'" alt=""></p></li><li><p>其中，<code>二维坐标</code>用于描述平面上的点的位置。主要应用包括：</p><ul><li><strong>几何学</strong>：在几何学中，二维坐标用于表示平面图形的顶点、边和面积等。</li></ul><p><img src="'+y+'" alt=""></p><ul><li><strong>地图和导航</strong>：地理坐标系统（经纬度）使用二维坐标来表示地球表面的任意位置。</li></ul><p><img src="'+F+'" alt="image-20240724112326592"></p><ul><li><strong>图形设计和计算机图形学</strong>：二维坐标在绘制图形、设计图案和用户界面中非常重要。</li></ul><p><img src="'+c+'" alt=""></p><ul><li><strong>物理学</strong>：二维运动和场，例如：在描述物体在平面上的运动轨迹时使用二维坐标。</li></ul><p><img src="'+b+'" alt=""></p></li><li><p>其中，三维坐标用于描述空间中点的位置。主要应用包括：</p><ul><li><strong>几何学</strong>：三维坐标在空间几何中用于表示立体图形的顶点、边、面和体积。</li></ul><p><img src="'+u+'" alt=""></p><ul><li><strong>计算机图形学</strong>：三维建模和动画需要使用三维坐标来创建和操控虚拟对象。</li></ul><p><img src="'+C+'" alt=""></p><ul><li><strong>工程和建筑设计</strong>：在设计建筑物、机械部件和其他工程项目时，使用三维坐标来精确定位和规划。</li></ul><p><img src="'+o+'" alt=""></p><ul><li><strong>物理学</strong>：三维空间中的力、运动和场，例如：描述物体在空间中的位置和运动轨迹。</li></ul><p><img src="'+m+'" alt=""></p></li><li><p>总而言之，一维、二维和三维坐标系统在不同的领域中各有其重要的应用，从基础数学到高级科学和工程技术，它们帮助我们更好地理解和描述世界的结构和行为。</p></li></ul><h3 id="_3-1-2-多维数组" tabindex="-1">3.1.2 多维数组 <a class="header-anchor" href="#_3-1-2-多维数组" aria-label="Permalink to &quot;3.1.2 多维数组&quot;"></a></h3><ul><li>在 C 语言中，多维数组就是数组嵌套，即：在数组中包含数组，数组中的每一个元素还是一个数组类型，如下所示：</li></ul><p><img src="'+B+`" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 如果数组中嵌套的每一个元素是一个常量值，那么该数组就是一维数组。</li><li>② 如果数组中嵌套的每一个元素是一个一维数组，那么该数组就是二维数组。</li><li>③ 如果数组中前台的每一个元素是一个二维数组，那么该数组就是三维数组.</li><li>④ 依次类推...</li></ul></div><ul><li>一维数组和多维数组的理解： <ul><li>从内存角度看：一维数组或多维数组都是占用的一整块连续的内存空间。</li><li>从数据操作角度看： <ul><li>一维数组可以直接通过<code>下标</code>访问到数组中的某个元素，即：0、1、...</li><li>二维数组要想访问某个元素，先要获取某个一维数组，然后在一维数组中获取对应的数据。</li></ul></li></ul></li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① C 语言中的一维数组或多维数组都是占用的一整块连续的内存空间，其它编程语言可不是这样的，如：Java 等。</li><li>② 在实际开发中，最为常用的就是二维数组或三维数组了，以二维数组居多！！！</li></ul></div><h2 id="_3-2-二维数组的定义" tabindex="-1">3.2 二维数组的定义 <a class="header-anchor" href="#_3-2-二维数组的定义" aria-label="Permalink to &quot;3.2 二维数组的定义&quot;"></a></h2><h3 id="_3-2-1-动态初始化" tabindex="-1">3.2.1 动态初始化 <a class="header-anchor" href="#_3-2-1-动态初始化" aria-label="Permalink to &quot;3.2.1 动态初始化&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[几个⼀维数组元素][每个⼀维数组中有几个具体的数据元素];</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 二维数组在实际开发中，最为常见的应用场景就是表格或矩阵了。</li><li>② 几个一维数组元素 = 行数。</li><li>③ 每个⼀维数组中有几个具体的数据元素 = 列数。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">9</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">11</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 输出二维数组中的元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br></div></div><h3 id="_3-2-2-静态初始化-1" tabindex="-1">3.2.2 静态初始化 1 <a class="header-anchor" href="#_3-2-2-静态初始化-1" aria-label="Permalink to &quot;3.2.2 静态初始化 1&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[行数][列数] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{元素1,元素2,...},{元素3,...},...}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 行数 = 几个一维数组元素。</li><li>② 列数 = 每个⼀维数组中有几个具体的数据元素。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">9</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">11</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 输出二维数组中的元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br></div></div><h3 id="_3-2-3-静态初始化-2" tabindex="-1">3.2.3 静态初始化 2 <a class="header-anchor" href="#_3-2-3-静态初始化-2" aria-label="Permalink to &quot;3.2.3 静态初始化 2&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[行数]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{元素1,元素2,...},{元素3,...},...}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 行数 = 几个一维数组元素 。</li><li>② 可以不指定行数，必须指定列数，编译器会根据元素的个数和列的个数，自动推断出行数！！！</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">9</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">11</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 输出二维数组中的元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br></div></div><h2 id="_3-3-二维数组的理解" tabindex="-1">3.3 二维数组的理解 <a class="header-anchor" href="#_3-3-二维数组的理解" aria-label="Permalink to &quot;3.3 二维数组的理解&quot;"></a></h2><ul><li>如果二维数组是这么定义的，即：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>那么，这个二维数组 <code>arr</code> 可以看做是 <code>3</code> 个一维数组组成，它们分别是 <code>arr[0]</code>、<code>arr[1]</code>、<code>arr[2]</code>。这 <code>3</code> 个一维数组都各有 4 个元素，如：一维数组 <code>arr[0]</code> 中的元素是 <code>arr[0][0]</code>、<code>arr[0][1]</code>、<code>arr[0][2]</code>、<code>arr[0][3]</code>，即：</li></ul><p><img src="`+A+`" alt=""></p><h2 id="_3-4-二维数组的遍历" tabindex="-1">3.4 二维数组的遍历 <a class="header-anchor" href="#_3-4-二维数组的遍历" aria-label="Permalink to &quot;3.4 二维数组的遍历&quot;"></a></h2><ul><li>访问二维数组的元素，需要使用两个下标（索引），一个用于访问行（第一维），另一个用于访问列（第二维），我们通常称为行下标（行索引）或列下标（列索引）。</li><li>所以，遍历二维数组，需要使用双层循环结构。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>如果一个二维数组是这么定义的，即：<code>int arr[3][4]</code>，那么：</p><ul><li><code>行的长度 = sizeof(arr) / sizeof(arr[0])</code> ，因为 <code>arr</code> 是二维数组的<code>总</code>的内存空间；而 <code>arr[0]</code> 、<code>arr[1]</code>、<code>arr[2]</code> 是二维数组中一维数组的内存空间 。</li><li><code>列的长度 = sizeof(arr[0]) / sizeof(arr[0][0])</code>，因为<code>arr[0]</code> 、<code>arr[1]</code>、<code>arr[2]</code> 是二维数组中一维数组的内存空间 ，而 <code>arr[0][0]</code>、<code>arr[0][1]</code>、... 是一维数组中元素的内存空间。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">9</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">11</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 获取行列数</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印二维数组元素</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col; j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">            printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i][j]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br></div></div><h2 id="_3-5-二维数组的内存分析" tabindex="-1">3.5 二维数组的内存分析 <a class="header-anchor" href="#_3-5-二维数组的内存分析" aria-label="Permalink to &quot;3.5 二维数组的内存分析&quot;"></a></h2><ul><li><p>用<code>矩阵形式</code>（如3行4列形式）表示二维数组，是<code>逻辑</code>上的概念，能形象地表示出行列关系。而在<code>内存</code>中，各元素是连续存放的，不是二维的，是<code>线性</code>的。</p></li><li><p>C 语言中，二维数组中元素排列的顺序是<code>按行存放</code>的。即：先顺序存放第一行的元素，再存放第二行的元素。例如：数组<code>a[3][4] </code>在内存中的存放：</p></li></ul><p><img src="`+D+`" alt=""></p><h2 id="_3-6-二维数组的应用案例" tabindex="-1">3.6 二维数组的应用案例 <a class="header-anchor" href="#_3-6-二维数组的应用案例" aria-label="Permalink to &quot;3.6 二维数组的应用案例&quot;"></a></h2><ul><li><p>需求：现在有三个班，每个班五名同学，用二维数组保存他们的成绩，并求出每个班级平均分、以及所有班级平均分，数据要求从控制台输入。</p></li><li><p>示例：</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组，用于保存成绩</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 获取二维数组的行数和列数</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 从控制台输入成绩</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col; j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">            printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">个班级的第</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">个学生的成绩：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">            scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i][j]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 总分</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> totalSum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组，求总分和各个班级的平均分</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col; j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            totalSum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i][j];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i][j];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;第</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">个班级的总分为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, sum);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;第</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">个班级的平均分为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;所有班级的总分为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, totalSum);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;所有班级的平均分为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, totalSum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (row </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col));</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br><span class="line-number">34</span><br><span class="line-number">35</span><br><span class="line-number">36</span><br><span class="line-number">37</span><br><span class="line-number">38</span><br></div></div>`,168),f=[q];function _(x,z,w,P,j,S){return a(),i("div",null,f)}const I=s(v,[["render",_]]);export{N as __pageData,I as default};
--- a/assets/notes_01_c-basic_05_xdx_index.md.aZr9FRYL.lean.js
+++ b/assets/notes_01_c-basic_05_xdx_index.md.aZr9FRYL.lean.js
@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CZKtKhAm.js";const l="/c/assets/1.CvTjP5jN.png",h="/c/assets/2.BR4TvWzU.png",p="/c/assets/3.hr3pCY5b.png",k="/c/assets/4.CgvWfxq4.png",t="/c/assets/5.DSekQATc.png",e="/c/assets/6.DjtEKfCa.png",r="/c/assets/7.BTWPdsCm.png",E="/c/assets/8.EoNXwZXz.png",d="/c/assets/9.iU-LaFqX.png",g="/c/assets/10.DYoXU9E6.jpg",y="/c/assets/11.DWDH3yqc.png",F="/c/assets/12.BvBjpbbE.png",c="/c/assets/13.CmPe90qp.png",b="/c/assets/14.MepLJvOt.jpg",u="/c/assets/15.CZUo3kuI.png",C="/c/assets/16.t7xuKRuB.png",o="/c/assets/17.Bkm40EoU.png",m="/c/assets/18.D0Mtsawg.png",B="/c/assets/19.C-mmUOKp.png",A="/c/assets/20.BvSSXPdI.png",D="/c/assets/21.uaya_nVR.png",N=JSON.parse('{"title":"第一章：数组的概念","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/05_xdx/index.md","filePath":"notes/01_c-basic/05_xdx/index.md","lastUpdated":1721806726000}'),v={name:"notes/01_c-basic/05_xdx/index.md"},q=n("",168),f=[q];function _(x,z,w,P,j,S){return a(),i("div",null,f)}const I=s(v,[["render",_]]);export{N as __pageData,I as default};
--- a/assets/notes_index.md.qg0s9W8s.js
+++ b/assets/notes_index.md.qg0s9W8s.js
@ -1 +1 @@
-import{_ as t,c as a,o as c,j as e,a as s}from"./chunks/framework.BE8if9e6.js";const b=JSON.parse('{"title":"c/c++ 学科","description":"","frontmatter":{},"headers":[],"relativePath":"notes/index.md","filePath":"notes/index.md","lastUpdated":1721092227000}'),o={name:"notes/index.md"},n=e("h1",{id:"c-c-学科",tabindex:"-1"},[s("c/c++ 学科 "),e("a",{class:"header-anchor",href:"#c-c-学科","aria-label":'Permalink to "c/c++ 学科"'},"")],-1),r=e("hr",null,null,-1),d=e("iframe",{src:"https://roadmap.sh/r/embed?id=6695c8262b17b182cbf4b520",width:"115%",height:"500px",frameBorder:"0"},null,-1),i=[n,r,d];function l(_,h,p,m,f,x){return c(),a("div",null,i)}const B=t(o,[["render",l]]);export{b as __pageData,B as default};
+import{_ as t,c as a,o as c,j as e,a as s}from"./chunks/framework.CZKtKhAm.js";const b=JSON.parse('{"title":"c/c++ 学科","description":"","frontmatter":{},"headers":[],"relativePath":"notes/index.md","filePath":"notes/index.md","lastUpdated":1721092227000}'),o={name:"notes/index.md"},n=e("h1",{id:"c-c-学科",tabindex:"-1"},[s("c/c++ 学科 "),e("a",{class:"header-anchor",href:"#c-c-学科","aria-label":'Permalink to "c/c++ 学科"'},"")],-1),r=e("hr",null,null,-1),d=e("iframe",{src:"https://roadmap.sh/r/embed?id=6695c8262b17b182cbf4b520",width:"115%",height:"500px",frameBorder:"0"},null,-1),i=[n,r,d];function l(_,h,p,m,f,x){return c(),a("div",null,i)}const B=t(o,[["render",l]]);export{b as __pageData,B as default};
--- a/assets/notes_index.md.qg0s9W8s.lean.js
+++ b/assets/notes_index.md.qg0s9W8s.lean.js
@ -1 +1 @@
-import{_ as t,c as a,o as c,j as e,a as s}from"./chunks/framework.BE8if9e6.js";const b=JSON.parse('{"title":"c/c++ 学科","description":"","frontmatter":{},"headers":[],"relativePath":"notes/index.md","filePath":"notes/index.md","lastUpdated":1721092227000}'),o={name:"notes/index.md"},n=e("h1",{id:"c-c-学科",tabindex:"-1"},[s("c/c++ 学科 "),e("a",{class:"header-anchor",href:"#c-c-学科","aria-label":'Permalink to "c/c++ 学科"'},"")],-1),r=e("hr",null,null,-1),d=e("iframe",{src:"https://roadmap.sh/r/embed?id=6695c8262b17b182cbf4b520",width:"115%",height:"500px",frameBorder:"0"},null,-1),i=[n,r,d];function l(_,h,p,m,f,x){return c(),a("div",null,i)}const B=t(o,[["render",l]]);export{b as __pageData,B as default};
+import{_ as t,c as a,o as c,j as e,a as s}from"./chunks/framework.CZKtKhAm.js";const b=JSON.parse('{"title":"c/c++ 学科","description":"","frontmatter":{},"headers":[],"relativePath":"notes/index.md","filePath":"notes/index.md","lastUpdated":1721092227000}'),o={name:"notes/index.md"},n=e("h1",{id:"c-c-学科",tabindex:"-1"},[s("c/c++ 学科 "),e("a",{class:"header-anchor",href:"#c-c-学科","aria-label":'Permalink to "c/c++ 学科"'},"")],-1),r=e("hr",null,null,-1),d=e("iframe",{src:"https://roadmap.sh/r/embed?id=6695c8262b17b182cbf4b520",width:"115%",height:"500px",frameBorder:"0"},null,-1),i=[n,r,d];function l(_,h,p,m,f,x){return c(),a("div",null,i)}const B=t(o,[["render",l]]);export{b as __pageData,B as default};
--- a/assets/style.DF3ihcHP.css
+++ b/assets/style.DF3ihcHP.css
--- a/assets/style.bTUc_nQv.css
+++ b/assets/style.bTUc_nQv.css
--- a/hashmap.json
+++ b/hashmap.json
@ -1 +1 @@
-{"notes_index.md":"3bIiHjBr","index.md":"uFk6fSzW","notes_01_c-basic_02_xdx_index.md":"Cxyt4HEd","notes_01_c-basic_04_xdx_index.md":"lfDB99hY","notes_01_c-basic_01_xdx_index.md":"DA3nuW_4","notes_01_c-basic_03_xdx_index.md":"Bc0D4KAS"}
+{"index.md":"D0m5RaG6","notes_01_c-basic_01_xdx_index.md":"7lTzv-1j","notes_01_c-basic_02_xdx_index.md":"36L8tSmA","notes_01_c-basic_03_xdx_index.md":"BUQ_uNMg","notes_01_c-basic_04_xdx_index.md":"CwyFE3Gl","notes_01_c-basic_05_xdx_index.md":"aZr9FRYL","notes_index.md":"qg0s9W8s"}
--- a/index.html
+++ b/index.html
@ -5,14 +5,14 @@
    
    <title>许大仙的博客 | Hi，终于等到你</title>
    <meta name="description" content="许大仙前端、Java、大数据、云原生">
-    <meta name="generator" content="VitePress v1.2.3">
-    <link rel="preload stylesheet" href="/c/assets/style.bTUc_nQv.css" as="style">
+    <meta name="generator" content="VitePress v1.3.1">
+    <link rel="preload stylesheet" href="/c/assets/style.DF3ihcHP.css" as="style">
    
-    <script type="module" src="/c/assets/app.B-gMyJXN.js"></script>
+    <script type="module" src="/c/assets/app.tyefp9BV.js"></script>
    <link rel="preload" href="/c/assets/inter-roman-latin.Di8DUHzh.woff2" as="font" type="font/woff2" crossorigin="">
-    <link rel="modulepreload" href="/c/assets/chunks/framework.BE8if9e6.js">
-    <link rel="modulepreload" href="/c/assets/chunks/theme.CJXJMEf1.js">
-    <link rel="modulepreload" href="/c/assets/index.md.uFk6fSzW.lean.js">
+    <link rel="modulepreload" href="/c/assets/chunks/framework.CZKtKhAm.js">
+    <link rel="modulepreload" href="/c/assets/chunks/theme.DpGvkbEa.js">
+    <link rel="modulepreload" href="/c/assets/index.md.D0m5RaG6.lean.js">
    <link rel="shortcut icon" href="/c//logo.svg">
    <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1.0, maximum-scale=1.0, user-scalable=no,shrink-to-fit=no">
    <script id="check-dark-mode">(()=>{const e=localStorage.getItem("vitepress-theme-appearance")||"auto",a=window.matchMedia("(prefers-color-scheme: dark)").matches;(!e||e==="auto"?a:e==="dark")&&document.documentElement.classList.add("dark")})();</script>
@ -20,8 +20,8 @@
    <meta name="keywords" content="许大仙,许大仙的博客">
  </head>
  <body>
-    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar home top" data-v-ae24b3ad data-v-ccf7ddec><div class="wrapper" data-v-ccf7ddec><div class="container" data-v-ccf7ddec><div class="title" data-v-ccf7ddec><div class="VPNavBarTitle" data-v-ccf7ddec data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-ccf7ddec><div class="content-body" data-v-ccf7ddec><!--[--><!--]--><div class="VPNavBarSearch search" data-v-ccf7ddec><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-ccf7ddec data-v-7f418b0f><span id="main-nav-aria-label" class="visually-hidden" data-v-7f418b0f>Main Navigation</span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-ccf7ddec data-v-e6aabb21><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-e6aabb21 data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-ccf7ddec data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-ccf7ddec data-v-d0bd9dde data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-e7ea1737><!----><!--[--><!--[--><!----><div class="group" data-v-d0bd9dde><div class="item appearance" data-v-d0bd9dde><p class="label" data-v-d0bd9dde>Appearance</p><div class="appearance-action" data-v-d0bd9dde><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-d0bd9dde data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div></div></div><div class="group" data-v-d0bd9dde><div class="item social-links" data-v-d0bd9dde><div class="VPSocialLinks social-links-list" data-v-d0bd9dde data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-ccf7ddec data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-ccf7ddec><div class="divider-line" data-v-ccf7ddec></div></div></div><!----></header><!----><!----><div class="VPContent is-home" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPHome" data-v-1428d186 data-v-686f80a6><!--[--><!--]--><div class="VPHero VPHomeHero" data-v-686f80a6 data-v-303bb580><div class="container" data-v-303bb580><div class="main" data-v-303bb580><!--[--><!--]--><!--[--><h1 class="name" data-v-303bb580><span class="clip" data-v-303bb580>许大仙同学</span></h1><!----><p class="tagline" data-v-303bb580>『这个世纪疯狂，没人性，腐败；你却一直清醒，温柔，一尘不染。』</p><!--]--><!--[--><!--]--><div class="actions" data-v-303bb580><!--[--><div class="action" data-v-303bb580><a class="VPButton medium brand" href="https://aexiar.github.io" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>首页</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>计组6件套</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="/c/notes/" data-v-303bb580 data-v-cad61b99>c/c++</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>前端</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>Java</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>大数据</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>云原生</a></div><!--]--></div><!--[--><!--]--></div><!----></div></div><!--[--><!--]--><!--[--><!--]--><div class="VPFeatures VPHomeFeatures" data-v-686f80a6 data-v-a6181336><div class="container" data-v-a6181336><div class="items" data-v-a6181336><!--[--><div class="grid-3 item" data-v-a6181336><div class="VPLink no-icon VPFeature" data-v-a6181336 data-v-a3976bdc><!--[--><article class="box" data-v-a3976bdc><!----><h2 class="title" data-v-a3976bdc>学习思路</h2><p class="details" data-v-a3976bdc>学习思路就这么几条：模仿、遍历、分治、动态规划、……</p><!----></article><!--]--></div></div><div class="grid-3 item" data-v-a6181336><div class="VPLink no-icon VPFeature" data-v-a6181336 data-v-a3976bdc><!--[--><article class="box" data-v-a3976bdc><!----><h2 class="title" data-v-a3976bdc>学习手法</h2><p class="details" data-v-a3976bdc>学习手法就这么几种：缓存、索引、信号/事件、回调/消息循环/dispatcher、……</p><!----></article><!--]--></div></div><div class="grid-3 item" data-v-a6181336><div class="VPLink no-icon VPFeature" data-v-a6181336 data-v-a3976bdc><!--[--><article class="box" data-v-a3976bdc><!----><h2 class="title" data-v-a3976bdc>注意事项</h2><p class="details" data-v-a3976bdc>注意事项就这么几点：边界值、等价类、数据完整性原子性、死锁、空转、……</p><!----></article><!--]--></div></div><!--]--></div></div></div><!--[--><!--]--><div class="vp-doc container" style="" data-v-686f80a6 data-v-8e2d4988><!--[--><div style="position:relative;" data-v-686f80a6><div></div></div><!--]--></div></div></div><footer class="VPFooter" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
-    <script>window.__VP_HASH_MAP__=JSON.parse("{\"notes_index.md\":\"3bIiHjBr\",\"index.md\":\"uFk6fSzW\",\"notes_01_c-basic_02_xdx_index.md\":\"Cxyt4HEd\",\"notes_01_c-basic_04_xdx_index.md\":\"lfDB99hY\",\"notes_01_c-basic_01_xdx_index.md\":\"DA3nuW_4\",\"notes_01_c-basic_03_xdx_index.md\":\"Bc0D4KAS\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
+    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar home top" data-v-ae24b3ad data-v-6aa21345><div class="wrapper" data-v-6aa21345><div class="container" data-v-6aa21345><div class="title" data-v-6aa21345><div class="VPNavBarTitle" data-v-6aa21345 data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-6aa21345><div class="content-body" data-v-6aa21345><!--[--><!--]--><div class="VPNavBarSearch search" data-v-6aa21345><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-6aa21345 data-v-dc692963><span id="main-nav-aria-label" class="visually-hidden" data-v-dc692963> Main Navigation </span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-6aa21345 data-v-6c893767><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-6c893767 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-6aa21345 data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-6aa21345 data-v-bb2aa2f0 data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-b98bc113><!----><!--[--><!--[--><!----><div class="group" data-v-bb2aa2f0><div class="item appearance" data-v-bb2aa2f0><p class="label" data-v-bb2aa2f0>Appearance</p><div class="appearance-action" data-v-bb2aa2f0><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-bb2aa2f0 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div></div></div><div class="group" data-v-bb2aa2f0><div class="item social-links" data-v-bb2aa2f0><div class="VPSocialLinks social-links-list" data-v-bb2aa2f0 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-6aa21345 data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-6aa21345><div class="divider-line" data-v-6aa21345></div></div></div><!----></header><!----><!----><div class="VPContent is-home" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPHome" data-v-1428d186 data-v-686f80a6><!--[--><!--]--><div class="VPHero VPHomeHero" data-v-686f80a6 data-v-303bb580><div class="container" data-v-303bb580><div class="main" data-v-303bb580><!--[--><!--]--><!--[--><h1 class="name" data-v-303bb580><span class="clip" data-v-303bb580>许大仙同学</span></h1><!----><p class="tagline" data-v-303bb580>『这个世纪疯狂，没人性，腐败；你却一直清醒，温柔，一尘不染。』</p><!--]--><!--[--><!--]--><div class="actions" data-v-303bb580><!--[--><div class="action" data-v-303bb580><a class="VPButton medium brand" href="https://aexiar.github.io" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>首页</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>计组6件套</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="/c/notes/" data-v-303bb580 data-v-cad61b99>c/c++</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>前端</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>Java</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>大数据</a></div><div class="action" data-v-303bb580><a class="VPButton medium alt" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" data-v-303bb580 data-v-cad61b99>云原生</a></div><!--]--></div><!--[--><!--]--></div><!----></div></div><!--[--><!--]--><!--[--><!--]--><div class="VPFeatures VPHomeFeatures" data-v-686f80a6 data-v-a6181336><div class="container" data-v-a6181336><div class="items" data-v-a6181336><!--[--><div class="grid-3 item" data-v-a6181336><div class="VPLink no-icon VPFeature" data-v-a6181336 data-v-a3976bdc><!--[--><article class="box" data-v-a3976bdc><!----><h2 class="title" data-v-a3976bdc>学习思路</h2><p class="details" data-v-a3976bdc>学习思路就这么几条：模仿、遍历、分治、动态规划、……</p><!----></article><!--]--></div></div><div class="grid-3 item" data-v-a6181336><div class="VPLink no-icon VPFeature" data-v-a6181336 data-v-a3976bdc><!--[--><article class="box" data-v-a3976bdc><!----><h2 class="title" data-v-a3976bdc>学习手法</h2><p class="details" data-v-a3976bdc>学习手法就这么几种：缓存、索引、信号/事件、回调/消息循环/dispatcher、……</p><!----></article><!--]--></div></div><div class="grid-3 item" data-v-a6181336><div class="VPLink no-icon VPFeature" data-v-a6181336 data-v-a3976bdc><!--[--><article class="box" data-v-a3976bdc><!----><h2 class="title" data-v-a3976bdc>注意事项</h2><p class="details" data-v-a3976bdc>注意事项就这么几点：边界值、等价类、数据完整性原子性、死锁、空转、……</p><!----></article><!--]--></div></div><!--]--></div></div></div><!--[--><!--]--><div class="vp-doc container" style="" data-v-686f80a6 data-v-8e2d4988><!--[--><div style="position:relative;" data-v-686f80a6><div></div></div><!--]--></div></div></div><footer class="VPFooter" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
+    <script>window.__VP_HASH_MAP__=JSON.parse("{\"index.md\":\"D0m5RaG6\",\"notes_01_c-basic_01_xdx_index.md\":\"7lTzv-1j\",\"notes_01_c-basic_02_xdx_index.md\":\"36L8tSmA\",\"notes_01_c-basic_03_xdx_index.md\":\"BUQ_uNMg\",\"notes_01_c-basic_04_xdx_index.md\":\"CwyFE3Gl\",\"notes_01_c-basic_05_xdx_index.md\":\"aZr9FRYL\",\"notes_index.md\":\"qg0s9W8s\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
    
  </body>
 </html>
--- a/notes/01_c-basic/01_xdx/index.html
+++ b/notes/01_c-basic/01_xdx/index.html
@ -5,14 +5,14 @@
    
    <title>第一章：计算机组成原理 | Hi，终于等到你</title>
    <meta name="description" content="许大仙前端、Java、大数据、云原生">
-    <meta name="generator" content="VitePress v1.2.3">
-    <link rel="preload stylesheet" href="/c/assets/style.bTUc_nQv.css" as="style">
+    <meta name="generator" content="VitePress v1.3.1">
+    <link rel="preload stylesheet" href="/c/assets/style.DF3ihcHP.css" as="style">
    
-    <script type="module" src="/c/assets/app.B-gMyJXN.js"></script>
+    <script type="module" src="/c/assets/app.tyefp9BV.js"></script>
    <link rel="preload" href="/c/assets/inter-roman-latin.Di8DUHzh.woff2" as="font" type="font/woff2" crossorigin="">
-    <link rel="modulepreload" href="/c/assets/chunks/framework.BE8if9e6.js">
-    <link rel="modulepreload" href="/c/assets/chunks/theme.CJXJMEf1.js">
-    <link rel="modulepreload" href="/c/assets/notes_01_c-basic_01_xdx_index.md.DA3nuW_4.lean.js">
+    <link rel="modulepreload" href="/c/assets/chunks/framework.CZKtKhAm.js">
+    <link rel="modulepreload" href="/c/assets/chunks/theme.DpGvkbEa.js">
+    <link rel="modulepreload" href="/c/assets/notes_01_c-basic_01_xdx_index.md.7lTzv-1j.lean.js">
    <link rel="shortcut icon" href="/c//logo.svg">
    <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1.0, maximum-scale=1.0, user-scalable=no,shrink-to-fit=no">
    <meta name="keywords" content="许大仙,许大仙的博客">
@ -20,7 +20,7 @@
    <script id="check-mac-os">document.documentElement.classList.toggle("mac",/Mac|iPhone|iPod|iPad/i.test(navigator.platform));</script>
  </head>
  <body>
-    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-ccf7ddec><div class="wrapper" data-v-ccf7ddec><div class="container" data-v-ccf7ddec><div class="title" data-v-ccf7ddec><div class="VPNavBarTitle has-sidebar" data-v-ccf7ddec data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-ccf7ddec><div class="content-body" data-v-ccf7ddec><!--[--><!--]--><div class="VPNavBarSearch search" data-v-ccf7ddec><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-ccf7ddec data-v-7f418b0f><span id="main-nav-aria-label" class="visually-hidden" data-v-7f418b0f>Main Navigation</span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-ccf7ddec data-v-e6aabb21><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-e6aabb21 data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-ccf7ddec data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-ccf7ddec data-v-d0bd9dde data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-e7ea1737><!----><!--[--><!--[--><!----><div class="group" data-v-d0bd9dde><div class="item appearance" data-v-d0bd9dde><p class="label" data-v-d0bd9dde>Appearance</p><div class="appearance-action" data-v-d0bd9dde><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-d0bd9dde data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div></div></div><div class="group" data-v-d0bd9dde><div class="item social-links" data-v-d0bd9dde><div class="VPSocialLinks social-links-list" data-v-d0bd9dde data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-ccf7ddec data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-ccf7ddec><div class="divider-line" data-v-ccf7ddec></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-575e6a36><div class="curtain" data-v-575e6a36></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-575e6a36><span class="visually-hidden" id="sidebar-aria-label" data-v-575e6a36> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="group" data-v-575e6a36><section class="VPSidebarItem level-0 collapsible has-active" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><h2 class="text" data-v-b8d55f3b>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b8d55f3b><span class="vpi-chevron-right caret-icon" data-v-b8d55f3b></span></div></div><div class="items" data-v-b8d55f3b><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C 语言高级</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 核心编程</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 标准库</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>QT 桌面开发</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_01_c-basic_01_xdx_" data-v-39a288b8><div><h1 id="第一章-计算机组成原理" tabindex="-1">第一章：计算机组成原理 <a class="header-anchor" href="#第一章-计算机组成原理" aria-label="Permalink to &quot;第一章：计算机组成原理&quot;"></a></h1><h2 id="_1-1-计算机系统" tabindex="-1">1.1 计算机系统 <a class="header-anchor" href="#_1-1-计算机系统" aria-label="Permalink to &quot;1.1 计算机系统&quot;"></a></h2><ul><li>计算机（Computer），俗称<code>&quot;电脑&quot;</code>，是一种能够接收和存储信息，并按照存储在其内部的程序对海量的数据进行自动、高速的处理，然后将处理结果输出的现代化智能电子设备。</li><li>计算机有很多形式，如：台式电脑、笔记本电脑、智能手机、平板电脑等，还有生产环境中提供重要业务支撑的各种服务器。</li></ul><p><img src="/c/assets/1.D4a42fT1.jpg" alt=""></p><ul><li>一个完整的<code>计算机系统</code>由<code>硬件（Hardware）系统</code>和<code>软件（Software）系统</code>两大部分组成，即：</li></ul><p><img src="/c/assets/2.D2wnxl5F.png" alt=""></p><h2 id="_1-2-冯·诺依曼体系结构" tabindex="-1">1.2 冯·诺依曼体系结构 <a class="header-anchor" href="#_1-2-冯·诺依曼体系结构" aria-label="Permalink to &quot;1.2 冯·诺依曼体系结构&quot;"></a></h2><ul><li><code>冯·诺依曼</code>是一位多才多艺的科学家，他在数学、物理学、计算机科学、经济学等领域都有杰出的贡献。</li></ul><p><img src="/c/assets/3.Dq625oo9.jpg" alt=""></p><ul><li><code>冯·诺依曼</code>的主要成就： <ul><li>在计算机科学领域的最著名贡献是提出了<code>冯·诺依曼</code>体系结构（1946 年），这是<code>现代计算机设计的基础</code>。</li><li>促进了计算机的可编程性和通用性，使得计算机能够执行各种复杂的任务。</li><li>对核武器设计、自动化控制系统、人工智能等领域的发展产生了重要影响。</li><li>……</li></ul></li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p><code>冯·诺依曼体系结构</code>是现代计算机（量子计算机除外）设计的<code>基础</code>。</p></div><ul><li><p><code>冯·诺依曼</code>体系结构的理论要点如下：</p><ul><li><p>① <strong>存储程序</strong>：<code>程序指令</code>和<code>数据</code>都存储在计算机的内存中，这使得程序可以在运行时修改。</p></li><li><p>② <strong>二进制逻辑</strong>：所有<code>数据</code>和<code>指令</code>都以<code>二进制</code>形式表示。</p></li><li><p>③ <strong>顺序执行</strong>：指令按照它们在内存中的顺序执行，但可以有条件地改变执行顺序。</p></li><li><p>④ <strong>五大部件</strong>：计算机由<code>运算器</code>、<code>控制器</code>、<code>存储器</code>、<code>输入设备</code>和<code>输出设备</code>组成。</p></li><li><p>⑤ <strong>指令结构</strong>：指令由操作码和地址码组成，操作码指示要执行的操作，地址码指示操作数的位置。</p></li><li><p>⑥ <strong>中心化控制</strong>：计算机的控制单元（CPU）负责解释和执行指令，控制数据流。</p></li></ul></li></ul><p><img src="/c/assets/4.uqu1DEK4.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>上述的组件协同工作，构成了一个完整的计算机系统：</p><ul><li><strong>运算器</strong>和<strong>控制器</strong>通常被集成在一起，组成中央处理器（CPU），负责数据处理和指令执行。</li><li><strong>存储器</strong>保存数据和程序，是计算机运作的基础。</li><li><strong>输入设备</strong>和<strong>输出设备</strong>负责与外界的交互，确保用户能够输入信息并接收计算机的处理结果。</li></ul></div><h2 id="_1-3-各种硬件处理速度和性能优化" tabindex="-1">1.3 各种硬件处理速度和性能优化 <a class="header-anchor" href="#_1-3-各种硬件处理速度和性能优化" aria-label="Permalink to &quot;1.3 各种硬件处理速度和性能优化&quot;"></a></h2><ul><li>计算机的性能短板：如果 CPU 有每秒处理 1000 个服务请求的能力，各种总线的负载能力能达到 500 个， 但网卡只能接受 200个请求，而硬盘只能负担 150 个的话，那这台服务器得处理能力只能是 150 个请求/ 秒，有 85% 的处理器计算能力浪费了，在计算机系统当中，<code>硬盘</code>的读写速率已经成为影响系统性能进一 步提高的瓶颈。</li></ul><p><img src="/c/assets/5.C6Q0Q8kf.jpg" alt="img"></p><ul><li>计算机的各个设备部件的延迟从高到低的排列，依次是机械硬盘（HDD）、固态硬盘（SSD）、内存、CPU 。</li></ul><p><img src="/c/assets/6.B4Srsb-0.png" alt="img"></p><ul><li>从上图中，我们可以知道，CPU 是最快的，一个时钟周期是 0.3 ns ，内存访问需要 120 ns ，固态硬盘访问需要 50-150 us，传统的硬盘访问需要 1-10 ms，而网络访问是最慢，需要 40 ms 以上。</li><li>时间的单位换算如下：</li></ul><div class="language-txt vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">txt</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>1 秒 = 1000 毫秒，即 1 s = 1000 ms。</span></span>
+    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-6aa21345><div class="wrapper" data-v-6aa21345><div class="container" data-v-6aa21345><div class="title" data-v-6aa21345><div class="VPNavBarTitle has-sidebar" data-v-6aa21345 data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-6aa21345><div class="content-body" data-v-6aa21345><!--[--><!--]--><div class="VPNavBarSearch search" data-v-6aa21345><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-6aa21345 data-v-dc692963><span id="main-nav-aria-label" class="visually-hidden" data-v-dc692963> Main Navigation </span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-6aa21345 data-v-6c893767><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-6c893767 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-6aa21345 data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-6aa21345 data-v-bb2aa2f0 data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-b98bc113><!----><!--[--><!--[--><!----><div class="group" data-v-bb2aa2f0><div class="item appearance" data-v-bb2aa2f0><p class="label" data-v-bb2aa2f0>Appearance</p><div class="appearance-action" data-v-bb2aa2f0><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-bb2aa2f0 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div></div></div><div class="group" data-v-bb2aa2f0><div class="item social-links" data-v-bb2aa2f0><div class="VPSocialLinks social-links-list" data-v-bb2aa2f0 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-6aa21345 data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-6aa21345><div class="divider-line" data-v-6aa21345></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-319d5ca6><div class="curtain" data-v-319d5ca6></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-319d5ca6><span class="visually-hidden" id="sidebar-aria-label" data-v-319d5ca6> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-c40bc020><section class="VPSidebarItem level-0 collapsible has-active" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><h2 class="text" data-v-b7550ba0>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b7550ba0><span class="vpi-chevron-right caret-icon" data-v-b7550ba0></span></div></div><div class="items" data-v-b7550ba0><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C 语言高级</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 核心编程</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 标准库</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>QT 桌面开发</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_01_c-basic_01_xdx_" data-v-39a288b8><div><h1 id="第一章-计算机组成原理" tabindex="-1">第一章：计算机组成原理 <a class="header-anchor" href="#第一章-计算机组成原理" aria-label="Permalink to &quot;第一章：计算机组成原理&quot;"></a></h1><h2 id="_1-1-计算机系统" tabindex="-1">1.1 计算机系统 <a class="header-anchor" href="#_1-1-计算机系统" aria-label="Permalink to &quot;1.1 计算机系统&quot;"></a></h2><ul><li>计算机（Computer），俗称<code>&quot;电脑&quot;</code>，是一种能够接收和存储信息，并按照存储在其内部的程序对海量的数据进行自动、高速的处理，然后将处理结果输出的现代化智能电子设备。</li><li>计算机有很多形式，如：台式电脑、笔记本电脑、智能手机、平板电脑等，还有生产环境中提供重要业务支撑的各种服务器。</li></ul><p><img src="/c/assets/1.D4a42fT1.jpg" alt=""></p><ul><li>一个完整的<code>计算机系统</code>由<code>硬件（Hardware）系统</code>和<code>软件（Software）系统</code>两大部分组成，即：</li></ul><p><img src="/c/assets/2.D2wnxl5F.png" alt=""></p><h2 id="_1-2-冯·诺依曼体系结构" tabindex="-1">1.2 冯·诺依曼体系结构 <a class="header-anchor" href="#_1-2-冯·诺依曼体系结构" aria-label="Permalink to &quot;1.2 冯·诺依曼体系结构&quot;"></a></h2><ul><li><code>冯·诺依曼</code>是一位多才多艺的科学家，他在数学、物理学、计算机科学、经济学等领域都有杰出的贡献。</li></ul><p><img src="/c/assets/3.Dq625oo9.jpg" alt=""></p><ul><li><code>冯·诺依曼</code>的主要成就： <ul><li>在计算机科学领域的最著名贡献是提出了<code>冯·诺依曼</code>体系结构（1946 年），这是<code>现代计算机设计的基础</code>。</li><li>促进了计算机的可编程性和通用性，使得计算机能够执行各种复杂的任务。</li><li>对核武器设计、自动化控制系统、人工智能等领域的发展产生了重要影响。</li><li>……</li></ul></li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p><code>冯·诺依曼体系结构</code>是现代计算机（量子计算机除外）设计的<code>基础</code>。</p></div><ul><li><p><code>冯·诺依曼</code>体系结构的理论要点如下：</p><ul><li><p>① <strong>存储程序</strong>：<code>程序指令</code>和<code>数据</code>都存储在计算机的内存中，这使得程序可以在运行时修改。</p></li><li><p>② <strong>二进制逻辑</strong>：所有<code>数据</code>和<code>指令</code>都以<code>二进制</code>形式表示。</p></li><li><p>③ <strong>顺序执行</strong>：指令按照它们在内存中的顺序执行，但可以有条件地改变执行顺序。</p></li><li><p>④ <strong>五大部件</strong>：计算机由<code>运算器</code>、<code>控制器</code>、<code>存储器</code>、<code>输入设备</code>和<code>输出设备</code>组成。</p></li><li><p>⑤ <strong>指令结构</strong>：指令由操作码和地址码组成，操作码指示要执行的操作，地址码指示操作数的位置。</p></li><li><p>⑥ <strong>中心化控制</strong>：计算机的控制单元（CPU）负责解释和执行指令，控制数据流。</p></li></ul></li></ul><p><img src="/c/assets/4.uqu1DEK4.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>上述的组件协同工作，构成了一个完整的计算机系统：</p><ul><li><strong>运算器</strong>和<strong>控制器</strong>通常被集成在一起，组成中央处理器（CPU），负责数据处理和指令执行。</li><li><strong>存储器</strong>保存数据和程序，是计算机运作的基础。</li><li><strong>输入设备</strong>和<strong>输出设备</strong>负责与外界的交互，确保用户能够输入信息并接收计算机的处理结果。</li></ul></div><h2 id="_1-3-各种硬件处理速度和性能优化" tabindex="-1">1.3 各种硬件处理速度和性能优化 <a class="header-anchor" href="#_1-3-各种硬件处理速度和性能优化" aria-label="Permalink to &quot;1.3 各种硬件处理速度和性能优化&quot;"></a></h2><ul><li>计算机的性能短板：如果 CPU 有每秒处理 1000 个服务请求的能力，各种总线的负载能力能达到 500 个， 但网卡只能接受 200个请求，而硬盘只能负担 150 个的话，那这台服务器得处理能力只能是 150 个请求/ 秒，有 85% 的处理器计算能力浪费了，在计算机系统当中，<code>硬盘</code>的读写速率已经成为影响系统性能进一 步提高的瓶颈。</li></ul><p><img src="/c/assets/5.C6Q0Q8kf.jpg" alt="img"></p><ul><li>计算机的各个设备部件的延迟从高到低的排列，依次是机械硬盘（HDD）、固态硬盘（SSD）、内存、CPU 。</li></ul><p><img src="/c/assets/6.B4Srsb-0.png" alt="img"></p><ul><li>从上图中，我们可以知道，CPU 是最快的，一个时钟周期是 0.3 ns ，内存访问需要 120 ns ，固态硬盘访问需要 50-150 us，传统的硬盘访问需要 1-10 ms，而网络访问是最慢，需要 40 ms 以上。</li><li>时间的单位换算如下：</li></ul><div class="language-txt vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">txt</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>1 秒 = 1000 毫秒，即 1 s = 1000 ms。</span></span>
 <span class="line"><span>1 毫秒 = 1000 微妙，即 1 ms = 1000 us 。</span></span>
 <span class="line"><span>1 微妙 = 1000 纳秒，即 1 us = 1000 ns。</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><ul><li>按照上图，将计算机世界的时间和人类世界的时间进行对比，即：</li></ul><div class="language-txt vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">txt</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>如果 CPU 的时钟周期按照 1 秒计算，</span></span>
 <span class="line"><span>那么，内存访问就需要 6 分钟；</span></span>
@ -245,8 +245,8 @@
 <span class="line"><span>SpacesInCStyleCastParentheses: false</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br></div></div><ul><li>CLion 中配置<code>保存</code>的时候<code>自动格式化</code>，即：</li></ul><p><img src="/c/assets/156.D9TSeAa9.gif" alt=""></p><h2 id="_7-5-配置-gitignore-文件" tabindex="-1">7.5 配置 .gitignore 文件 <a class="header-anchor" href="#_7-5-配置-gitignore-文件" aria-label="Permalink to &quot;7.5 配置 .gitignore 文件&quot;"></a></h2><ul><li>需要在项目中，配置 <code>.gitignore</code> 文件，以便在提交代码到 Git 仓库的时候，忽略某些文件或目录，如下所示：</li></ul><p><img src="/c/assets/157.CCRgYIVq.png" alt=""></p><ul><li><code>.gitignore</code> 文件的内容，如下所示：</li></ul><div class="language-txt vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">txt</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span>.vscode</span></span>
 <span class="line"><span>.idea</span></span>
 <span class="line"><span>cmake-build-*</span></span>
-<span class="line"><span>build</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br></div></div><h2 id="_7-6-演示" tabindex="-1">7.6 演示 <a class="header-anchor" href="#_7-6-演示" aria-label="Permalink to &quot;7.6 演示&quot;"></a></h2><ul><li>我们可以在项目中，临时创建或复制一个文件，看上述配置是否生效，即：</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>如果是复制并粘贴一个文件到项目中，请点击<code>重新加载 CMake 项目</code>！！！</p></div><p><img src="/c/assets/158.C1t2T6FV.gif" alt=""></p><h1 id="第八章-c-语言的编译过程-⭐" tabindex="-1">第八章：C 语言的编译过程（⭐） <a class="header-anchor" href="#第八章-c-语言的编译过程-⭐" aria-label="Permalink to &quot;第八章：C 语言的编译过程（⭐）&quot;"></a></h1><h2 id="_8-1-概述" tabindex="-1">8.1 概述 <a class="header-anchor" href="#_8-1-概述" aria-label="Permalink to &quot;8.1 概述&quot;"></a></h2><ul><li>C 程序的编译过程，如下所示：</li></ul><p><img src="/c/assets/159.Rqa4uHq6.png" alt=""></p><ul><li>过程 ① ：编写（编辑）源代码，即：编写 C 语言源程序代码，并以文件的形式存储在磁盘中。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>源程序需要以 <code>.c</code> 作为扩展名。</p></div><ul><li>过程 ② ：编译，即：将 C 语言源程序转换为<code>目标程序（或目标文件）</code>。如果程序没有错误，没有任何提示，就会生成一个扩展名为 <code>.obj</code>或 <code>.o</code> 的二进制文件。C 语言中的每条可执行语句经过编译之后，最终都会转换为二进制的机器指令。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><ul><li><p>① 其实，<code>编译阶段</code>包含了<code>预处理</code>、<code>编译</code>和<code>汇编</code>。</p></li><li><p>② <code>预处理</code>是编译过程的第一个阶段。在这个阶段，预处理器处理源代码中的指令（例如：<code>#include</code>、<code>#define</code>等），主要任务包括：</p><ul><li><p><strong>头文件包含</strong>：将头文件的内容插入到源文件中。例如：<code>#include &lt;stdio.h&gt;</code>会被替换为<code>stdio.h</code>文件的内容。</p></li><li><p><strong>宏展开</strong>：替换宏定义。例如：<code>#define PI 3.14</code>会将代码中的<code>PI</code>替换为<code>3.14</code>。</p></li><li><p><strong>条件编译</strong>：根据条件指令（如：<code>#ifdef</code>、<code>#ifndef</code>）有选择地编译代码。</p></li><li><p><strong>删除代码中的注释，但是不会进行语法检查</strong>。</p></li><li><p>预处理完成后，生成一个扩展名为<code>.i</code>的中间文件。</p></li></ul></li><li><p>③ <code>编译</code>是将预处理后的源代码转换为汇编代码的过程。在这个阶段，编译器会检查代码的语法和语义，将其转换为目标机器的汇编语言，生成一个扩展名为<code>.s</code>的汇编文件。</p></li><li><p>④ <code>汇编</code>是将汇编代码转换为机器代码（也称为目标代码或目标文件）的过程。在这个阶段，汇编器将汇编指令转换为二进制机器指令，生成一个扩展名为<code>.o</code>或 <code>.obj</code>的目标文件。</p></li></ul></div><ul><li>过程 ③ ：链接（连接），即：将编译形成的目标文件 <code>*.obj</code> 或 <code>*.o</code>和库函数以及其他目录文件<code>链接</code>，形成一个统一的二进制文件 <code>*.exe</code>。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><ul><li>为什么需要链接库文件？</li><li>因为我们的 C 程序会使用 C 程序库中的内容，如：<code>&lt;stdio.h&gt;</code> 中的 <code>printf()</code> 函数，这些函数不是程序员自己写的，而是 C 程序库中提供的，因此需要链接。其实，在链接过程中，还会加入启动代码，这个启动代码（和系统相关，Linux 下主要有 crt0.c、crti.c 等，它们设置堆栈后，再调用 main() 函数）负责初始化程序运行时的环境。</li></ul></div><ul><li>过程 ④ ：执行，即：有了可执行的 <code>*.exe</code>文件，我们就可以在控制台上执行运行此 <code>*.exe</code> 文件。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>如果<code>修改</code>了源代码，还需要重新<code>编译</code>、<code>链接</code>，并生成新的 <code>*.exe</code>文件，再执行，方能生效。</p></div><h2 id="_8-2-gcc-编译器的介绍" tabindex="-1">8.2 GCC 编译器的介绍 <a class="header-anchor" href="#_8-2-gcc-编译器的介绍" aria-label="Permalink to &quot;8.2 GCC 编译器的介绍&quot;"></a></h2><ul><li>编辑器，如：vim 、vscode 等，是指我们用它来编写源程序的（编辑代码），而我们写的代码语句，电脑是不懂的，我们需要把它转成电脑能懂的语句，编译器就是这样的转化工具。换言之，我们用编辑器编写程序，由编译器编译后才可以运行！</li><li>编译器是将易于编写、阅读和维护的高级计算机语言翻译为计算机能解读、运行的低级机器语言的程序。</li><li>gcc（GNU Compiler Collection，GNU 编译器套件），是由 GNU 开发的编程语言编译器。gcc 原本作为 GNU 操作系统的官方编译器，现已被大多数类 Unix 操作系统（如：Linux、BSD、Mac OS X 等）采纳为标准的编译器，gcc 同样适用于微软的 Windows 。</li><li>gcc 最初用于编译 C 语言，随着项目的发展， gcc 已经成为了能够编译 C、C++、Java、Ada、fortran、Object C、Object C++、Go 语言的编译器大家族。</li></ul><h2 id="_8-3-通过-gcc-直接生成可执行文件" tabindex="-1">8.3 通过 gcc 直接生成可执行文件 <a class="header-anchor" href="#_8-3-通过-gcc-直接生成可执行文件" aria-label="Permalink to &quot;8.3 通过 gcc 直接生成可执行文件&quot;"></a></h2><ul><li>示例：进行预处理、编译、汇编和链接</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.exe</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/160.6yQYnjOa.gif" alt=""></p><h2 id="_8-4-通过-gcc-分步编译" tabindex="-1">8.4 通过 gcc 分步编译 <a class="header-anchor" href="#_8-4-通过-gcc-分步编译" aria-label="Permalink to &quot;8.4 通过 gcc 分步编译&quot;"></a></h2><h3 id="_8-3-1-概述" tabindex="-1">8.3.1 概述 <a class="header-anchor" href="#_8-3-1-概述" aria-label="Permalink to &quot;8.3.1 概述&quot;"></a></h3><ul><li>预处理命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -E</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.i</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 通常以 .i 结尾表示这个文件是一个中间状态</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>编译（预处理和编译）命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -S</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.i</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.s</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 在 Linux 中，通常以 .s 结尾；在 Windows 中，通常以 .asm 结尾</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>汇编（预处理、编译和汇编）命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -c</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.s</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.o</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 在 Linux 中，通常以 .o 结尾；在 Windows 中，通常以 .obj 结尾</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>链接（预处理、编译、汇编和链接）命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.o</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.exe</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 在 Linux 中，通常以 .out 结尾；在 Windows 中，通常以 .exe 结尾</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><h3 id="_8-4-2-应用示例" tabindex="-1">8.4.2 应用示例 <a class="header-anchor" href="#_8-4-2-应用示例" aria-label="Permalink to &quot;8.4.2 应用示例&quot;"></a></h3><ul><li>示例：只进行预处理</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -E</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.i</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/161.hYR9GiiD.gif" alt=""></p><ul><li>示例：只进行预处理和编译</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -S</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.i</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.s</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/162.D3b-QIrA.gif" alt=""></p><ul><li>示例：只进行预处理、编译和汇编</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -c</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.s</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.o</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/163.DGbA6qsW.gif" alt=""></p><ul><li>示例：进行预处理、编译、汇编和链接</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.o</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.exe</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/164.BToOkxf2.gif" alt=""></p></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-d4a0bba5><!--[--><!--]--><div class="edit-info" data-v-d4a0bba5><!----><div class="last-updated" data-v-d4a0bba5><p class="VPLastUpdated" data-v-d4a0bba5 data-v-7e05ebdb>上次更新: <time datetime="2024-07-11T08:05:05.000Z" data-v-7e05ebdb></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-d4a0bba5><span class="visually-hidden" id="doc-footer-aria-label" data-v-d4a0bba5>Pager</span><div class="pager" data-v-d4a0bba5><!----></div><div class="pager" data-v-d4a0bba5><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/02_xdx/" data-v-d4a0bba5><!--[--><span class="desc" data-v-d4a0bba5>下一篇</span><span class="title" data-v-d4a0bba5>变量和进制</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
-    <script>window.__VP_HASH_MAP__=JSON.parse("{\"notes_index.md\":\"3bIiHjBr\",\"index.md\":\"uFk6fSzW\",\"notes_01_c-basic_02_xdx_index.md\":\"Cxyt4HEd\",\"notes_01_c-basic_04_xdx_index.md\":\"lfDB99hY\",\"notes_01_c-basic_01_xdx_index.md\":\"DA3nuW_4\",\"notes_01_c-basic_03_xdx_index.md\":\"Bc0D4KAS\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
+<span class="line"><span>build</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br></div></div><h2 id="_7-6-演示" tabindex="-1">7.6 演示 <a class="header-anchor" href="#_7-6-演示" aria-label="Permalink to &quot;7.6 演示&quot;"></a></h2><ul><li>我们可以在项目中，临时创建或复制一个文件，看上述配置是否生效，即：</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>如果是复制并粘贴一个文件到项目中，请点击<code>重新加载 CMake 项目</code>！！！</p></div><p><img src="/c/assets/158.C1t2T6FV.gif" alt=""></p><h1 id="第八章-c-语言的编译过程-⭐" tabindex="-1">第八章：C 语言的编译过程（⭐） <a class="header-anchor" href="#第八章-c-语言的编译过程-⭐" aria-label="Permalink to &quot;第八章：C 语言的编译过程（⭐）&quot;"></a></h1><h2 id="_8-1-概述" tabindex="-1">8.1 概述 <a class="header-anchor" href="#_8-1-概述" aria-label="Permalink to &quot;8.1 概述&quot;"></a></h2><ul><li>C 程序的编译过程，如下所示：</li></ul><p><img src="/c/assets/159.Rqa4uHq6.png" alt=""></p><ul><li>过程 ① ：编写（编辑）源代码，即：编写 C 语言源程序代码，并以文件的形式存储在磁盘中。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>源程序需要以 <code>.c</code> 作为扩展名。</p></div><ul><li>过程 ② ：编译，即：将 C 语言源程序转换为<code>目标程序（或目标文件）</code>。如果程序没有错误，没有任何提示，就会生成一个扩展名为 <code>.obj</code>或 <code>.o</code> 的二进制文件。C 语言中的每条可执行语句经过编译之后，最终都会转换为二进制的机器指令。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><ul><li><p>① 其实，<code>编译阶段</code>包含了<code>预处理</code>、<code>编译</code>和<code>汇编</code>。</p></li><li><p>② <code>预处理</code>是编译过程的第一个阶段。在这个阶段，预处理器处理源代码中的指令（例如：<code>#include</code>、<code>#define</code>等），主要任务包括：</p><ul><li><p><strong>头文件包含</strong>：将头文件的内容插入到源文件中。例如：<code>#include &lt;stdio.h&gt;</code>会被替换为<code>stdio.h</code>文件的内容。</p></li><li><p><strong>宏展开</strong>：替换宏定义。例如：<code>#define PI 3.14</code>会将代码中的<code>PI</code>替换为<code>3.14</code>。</p></li><li><p><strong>条件编译</strong>：根据条件指令（如：<code>#ifdef</code>、<code>#ifndef</code>）有选择地编译代码。</p></li><li><p><strong>删除代码中的注释，但是不会进行语法检查</strong>。</p></li><li><p>预处理完成后，生成一个扩展名为<code>.i</code>的中间文件。</p></li></ul></li><li><p>③ <code>编译</code>是将预处理后的源代码转换为汇编代码的过程。在这个阶段，编译器会检查代码的语法和语义，将其转换为目标机器的汇编语言，生成一个扩展名为<code>.s</code>的汇编文件。</p></li><li><p>④ <code>汇编</code>是将汇编代码转换为机器代码（也称为目标代码或目标文件）的过程。在这个阶段，汇编器将汇编指令转换为二进制机器指令，生成一个扩展名为<code>.o</code>或 <code>.obj</code>的目标文件。</p></li></ul></div><ul><li>过程 ③ ：链接（连接），即：将编译形成的目标文件 <code>*.obj</code> 或 <code>*.o</code>和库函数以及其他目录文件<code>链接</code>，形成一个统一的二进制文件 <code>*.exe</code>。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><ul><li>为什么需要链接库文件？</li><li>因为我们的 C 程序会使用 C 程序库中的内容，如：<code>&lt;stdio.h&gt;</code> 中的 <code>printf()</code> 函数，这些函数不是程序员自己写的，而是 C 程序库中提供的，因此需要链接。其实，在链接过程中，还会加入启动代码，这个启动代码（和系统相关，Linux 下主要有 crt0.c、crti.c 等，它们设置堆栈后，再调用 main() 函数）负责初始化程序运行时的环境。</li></ul></div><ul><li>过程 ④ ：执行，即：有了可执行的 <code>*.exe</code>文件，我们就可以在控制台上执行运行此 <code>*.exe</code> 文件。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>如果<code>修改</code>了源代码，还需要重新<code>编译</code>、<code>链接</code>，并生成新的 <code>*.exe</code>文件，再执行，方能生效。</p></div><h2 id="_8-2-gcc-编译器的介绍" tabindex="-1">8.2 GCC 编译器的介绍 <a class="header-anchor" href="#_8-2-gcc-编译器的介绍" aria-label="Permalink to &quot;8.2 GCC 编译器的介绍&quot;"></a></h2><ul><li>编辑器，如：vim 、vscode 等，是指我们用它来编写源程序的（编辑代码），而我们写的代码语句，电脑是不懂的，我们需要把它转成电脑能懂的语句，编译器就是这样的转化工具。换言之，我们用编辑器编写程序，由编译器编译后才可以运行！</li><li>编译器是将易于编写、阅读和维护的高级计算机语言翻译为计算机能解读、运行的低级机器语言的程序。</li><li>gcc（GNU Compiler Collection，GNU 编译器套件），是由 GNU 开发的编程语言编译器。gcc 原本作为 GNU 操作系统的官方编译器，现已被大多数类 Unix 操作系统（如：Linux、BSD、Mac OS X 等）采纳为标准的编译器，gcc 同样适用于微软的 Windows 。</li><li>gcc 最初用于编译 C 语言，随着项目的发展， gcc 已经成为了能够编译 C、C++、Java、Ada、fortran、Object C、Object C++、Go 语言的编译器大家族。</li></ul><h2 id="_8-3-通过-gcc-直接生成可执行文件" tabindex="-1">8.3 通过 gcc 直接生成可执行文件 <a class="header-anchor" href="#_8-3-通过-gcc-直接生成可执行文件" aria-label="Permalink to &quot;8.3 通过 gcc 直接生成可执行文件&quot;"></a></h2><ul><li>示例：进行预处理、编译、汇编和链接</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.exe</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/160.6yQYnjOa.gif" alt=""></p><h2 id="_8-4-通过-gcc-分步编译" tabindex="-1">8.4 通过 gcc 分步编译 <a class="header-anchor" href="#_8-4-通过-gcc-分步编译" aria-label="Permalink to &quot;8.4 通过 gcc 分步编译&quot;"></a></h2><h3 id="_8-3-1-概述" tabindex="-1">8.3.1 概述 <a class="header-anchor" href="#_8-3-1-概述" aria-label="Permalink to &quot;8.3.1 概述&quot;"></a></h3><ul><li>预处理命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -E</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.i</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 通常以 .i 结尾表示这个文件是一个中间状态</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>编译（预处理和编译）命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -S</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.i</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.s</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 在 Linux 中，通常以 .s 结尾；在 Windows 中，通常以 .asm 结尾</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>汇编（预处理、编译和汇编）命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -c</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.s</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.o</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 在 Linux 中，通常以 .o 结尾；在 Windows 中，通常以 .obj 结尾</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>链接（预处理、编译、汇编和链接）命令：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.o</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 源文件.exe</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> # 在 Linux 中，通常以 .out 结尾；在 Windows 中，通常以 .exe 结尾</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><h3 id="_8-4-2-应用示例" tabindex="-1">8.4.2 应用示例 <a class="header-anchor" href="#_8-4-2-应用示例" aria-label="Permalink to &quot;8.4.2 应用示例&quot;"></a></h3><ul><li>示例：只进行预处理</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -E</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.c</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.i</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/161.hYR9GiiD.gif" alt=""></p><ul><li>示例：只进行预处理和编译</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -S</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.i</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.s</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/162.D3b-QIrA.gif" alt=""></p><ul><li>示例：只进行预处理、编译和汇编</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -c</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.s</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.o</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/163.DGbA6qsW.gif" alt=""></p><ul><li>示例：进行预处理、编译、汇编和链接</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">gcc</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.o</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> -o</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> HelloWorld.exe</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/164.BToOkxf2.gif" alt=""></p></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-e257564d><!--[--><!--]--><div class="edit-info" data-v-e257564d><!----><div class="last-updated" data-v-e257564d><p class="VPLastUpdated" data-v-e257564d data-v-e98dd255>上次更新: <time datetime="2024-07-11T08:05:05.000Z" data-v-e98dd255></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-e257564d><span class="visually-hidden" id="doc-footer-aria-label" data-v-e257564d>Pager</span><div class="pager" data-v-e257564d><!----></div><div class="pager" data-v-e257564d><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/02_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>下一篇</span><span class="title" data-v-e257564d>变量和进制</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
+    <script>window.__VP_HASH_MAP__=JSON.parse("{\"index.md\":\"D0m5RaG6\",\"notes_01_c-basic_01_xdx_index.md\":\"7lTzv-1j\",\"notes_01_c-basic_02_xdx_index.md\":\"36L8tSmA\",\"notes_01_c-basic_03_xdx_index.md\":\"BUQ_uNMg\",\"notes_01_c-basic_04_xdx_index.md\":\"CwyFE3Gl\",\"notes_01_c-basic_05_xdx_index.md\":\"aZr9FRYL\",\"notes_index.md\":\"qg0s9W8s\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
    
  </body>
 </html>
--- a/notes/01_c-basic/02_xdx/index.html
+++ b/notes/01_c-basic/02_xdx/index.html
@ -5,14 +5,14 @@
    
    <title>第一章：变量（⭐） | Hi，终于等到你</title>
    <meta name="description" content="许大仙前端、Java、大数据、云原生">
-    <meta name="generator" content="VitePress v1.2.3">
-    <link rel="preload stylesheet" href="/c/assets/style.bTUc_nQv.css" as="style">
+    <meta name="generator" content="VitePress v1.3.1">
+    <link rel="preload stylesheet" href="/c/assets/style.DF3ihcHP.css" as="style">
    
-    <script type="module" src="/c/assets/app.B-gMyJXN.js"></script>
+    <script type="module" src="/c/assets/app.tyefp9BV.js"></script>
    <link rel="preload" href="/c/assets/inter-roman-latin.Di8DUHzh.woff2" as="font" type="font/woff2" crossorigin="">
-    <link rel="modulepreload" href="/c/assets/chunks/framework.BE8if9e6.js">
-    <link rel="modulepreload" href="/c/assets/chunks/theme.CJXJMEf1.js">
-    <link rel="modulepreload" href="/c/assets/notes_01_c-basic_02_xdx_index.md.Cxyt4HEd.lean.js">
+    <link rel="modulepreload" href="/c/assets/chunks/framework.CZKtKhAm.js">
+    <link rel="modulepreload" href="/c/assets/chunks/theme.DpGvkbEa.js">
+    <link rel="modulepreload" href="/c/assets/notes_01_c-basic_02_xdx_index.md.36L8tSmA.lean.js">
    <link rel="shortcut icon" href="/c//logo.svg">
    <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1.0, maximum-scale=1.0, user-scalable=no,shrink-to-fit=no">
    <meta name="keywords" content="许大仙,许大仙的博客">
@ -20,7 +20,7 @@
    <script id="check-mac-os">document.documentElement.classList.toggle("mac",/Mac|iPhone|iPod|iPad/i.test(navigator.platform));</script>
  </head>
  <body>
-    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-ccf7ddec><div class="wrapper" data-v-ccf7ddec><div class="container" data-v-ccf7ddec><div class="title" data-v-ccf7ddec><div class="VPNavBarTitle has-sidebar" data-v-ccf7ddec data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-ccf7ddec><div class="content-body" data-v-ccf7ddec><!--[--><!--]--><div class="VPNavBarSearch search" data-v-ccf7ddec><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-ccf7ddec data-v-7f418b0f><span id="main-nav-aria-label" class="visually-hidden" data-v-7f418b0f>Main Navigation</span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-ccf7ddec data-v-e6aabb21><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-e6aabb21 data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-ccf7ddec data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-ccf7ddec data-v-d0bd9dde data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-e7ea1737><!----><!--[--><!--[--><!----><div class="group" data-v-d0bd9dde><div class="item appearance" data-v-d0bd9dde><p class="label" data-v-d0bd9dde>Appearance</p><div class="appearance-action" data-v-d0bd9dde><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-d0bd9dde data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div></div></div><div class="group" data-v-d0bd9dde><div class="item social-links" data-v-d0bd9dde><div class="VPSocialLinks social-links-list" data-v-d0bd9dde data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-ccf7ddec data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-ccf7ddec><div class="divider-line" data-v-ccf7ddec></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-575e6a36><div class="curtain" data-v-575e6a36></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-575e6a36><span class="visually-hidden" id="sidebar-aria-label" data-v-575e6a36> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="group" data-v-575e6a36><section class="VPSidebarItem level-0 collapsible has-active" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><h2 class="text" data-v-b8d55f3b>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b8d55f3b><span class="vpi-chevron-right caret-icon" data-v-b8d55f3b></span></div></div><div class="items" data-v-b8d55f3b><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C 语言高级</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 核心编程</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 标准库</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>QT 桌面开发</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_01_c-basic_02_xdx_" data-v-39a288b8><div><h1 id="第一章-变量-⭐" tabindex="-1">第一章：变量（⭐） <a class="header-anchor" href="#第一章-变量-⭐" aria-label="Permalink to &quot;第一章：变量（⭐）&quot;"></a></h1><h2 id="_1-1-程序中变化的数据" tabindex="-1">1.1 程序中变化的数据 <a class="header-anchor" href="#_1-1-程序中变化的数据" aria-label="Permalink to &quot;1.1 程序中变化的数据&quot;"></a></h2><ul><li>在生活中，我们使用最多的不是固定的数据，而是会变化的数据： <ul><li>① 购物车商品的<code>数量</code>、<code>价格</code>等。</li><li>② 一首歌<code>播放的时间</code>、<code>进度条</code>、<code>歌词的展示</code>等。</li><li>③ 微信聊天中<code>消息条数</code>、<code>时间</code>、<code>语音的长度</code>、<code>头像</code>、<code>名称</code>等。</li><li>④ 游戏中技能的<code>冷却时间</code>、<code>血量</code>、<code>蓝量</code>、<code>buff 时间</code>、<code>金币的数量</code>等。</li><li>……</li></ul></li></ul><ul><li>下图是一个<code>购物车</code>中<code>变化</code>的<code>数据</code>，即：</li></ul><p><img src="/c/assets/1.CXNJqOOc.png" alt=""></p><ul><li>那么，在实际开发中，我们就会使用<code>变量</code>来<code>保存</code>和<code>操作</code>这些<code>变化</code>的<code>数据</code>。</li></ul><h2 id="_1-2-变量" tabindex="-1">1.2 变量 <a class="header-anchor" href="#_1-2-变量" aria-label="Permalink to &quot;1.2 变量&quot;"></a></h2><ul><li>变量的定义：变量是程序中不可或缺的组成单位，最基本的存储单元。其实，变量就是一个存储数据的临时空间，可以向其中存储不同类型的数据，如：整数、小数、字符、字符串等，并且变量中的数据在程序运行的时候可以动态改变。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li><code>变量</code>：用来<code>存储数据</code>的<code>容器</code>。</li><li><code>数据</code>：可以是一个用来计算的<code>数字</code>，如：上文购物车中的<code>价格</code>等；也可以是一句话中的<code>关键词</code>或<code>其它任意格式的数据</code>。</li><li>变量的<code>特别</code>之处就在于<code>它存放的数据是可以改变</code>的。</li></ul></div><ul><li>我们可以将<code>变量</code>想象为一个<code>容器</code>，盒子中<code>装的</code>就是我们想要的<code>数据</code>，并且我们需要<code>给</code>盒子<code>取</code>一个<code>特别的名称</code>；通过这个<code>特别的名称</code>，我们可以<code>给</code>盒子<code>添加数据</code>或<code>移除数据</code>，这个<code>特别的名称</code>就是<code>变量名</code>。</li></ul><p><img src="/c/assets/2.E0LS08Y5.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① <code>变量</code>是内存中的一个<code>存储区域</code>，该区域的数据可以在<code>同一类型</code>范围内<code>不断变化</code>。</li><li>② 通过<code>变量名</code>，可以<code>操作</code>这块内存区域，向其中<code>存储数据</code>或<code>获取数据</code>以及<code>移除数据</code>。</li><li>③ 变量的构成包含三个要素：<code>数据类型</code>、<code>变量名</code>、<code>需要存储的数据</code>。</li><li>④ 在生活中，我们会经常说：这件衣服的价格是 <code>100（整型）</code> 元，这双鞋子的价格是 <code>250.5（小数，浮点类型）</code> 元，<code>今天天气真好（字符串类型）</code>之类的话；在计算机科学中，这些都是数据，并且它们是有类型，即：数据类型。（数据类型用于定义变量所能存储的数据的种类以及可以对这些数据进行的操作的一种分类，每种数据类型都有特定的属性和用途，它们决定了变量在内存中如何表示和存储，以及变量可以执行哪些操作）</li></ul></div><h2 id="_1-3-变量的声明和使用" tabindex="-1">1.3 变量的声明和使用 <a class="header-anchor" href="#_1-3-变量的声明和使用" aria-label="Permalink to &quot;1.3 变量的声明和使用&quot;"></a></h2><ul><li>① 变量必须先声明，后使用。</li><li>② 可以先声明变量再赋值，也可以在声明变量的同时进行赋值。</li><li>③ 变量的值可以在同一类型范围内不断变化。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>在实际开发中，我们通常都会在声明变量的同时，给其赋值，这被称为初始化。</p></div><ul><li>示例：先声明，再使用</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-6aa21345><div class="wrapper" data-v-6aa21345><div class="container" data-v-6aa21345><div class="title" data-v-6aa21345><div class="VPNavBarTitle has-sidebar" data-v-6aa21345 data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-6aa21345><div class="content-body" data-v-6aa21345><!--[--><!--]--><div class="VPNavBarSearch search" data-v-6aa21345><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-6aa21345 data-v-dc692963><span id="main-nav-aria-label" class="visually-hidden" data-v-dc692963> Main Navigation </span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-6aa21345 data-v-6c893767><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-6c893767 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-6aa21345 data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-6aa21345 data-v-bb2aa2f0 data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-b98bc113><!----><!--[--><!--[--><!----><div class="group" data-v-bb2aa2f0><div class="item appearance" data-v-bb2aa2f0><p class="label" data-v-bb2aa2f0>Appearance</p><div class="appearance-action" data-v-bb2aa2f0><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-bb2aa2f0 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div></div></div><div class="group" data-v-bb2aa2f0><div class="item social-links" data-v-bb2aa2f0><div class="VPSocialLinks social-links-list" data-v-bb2aa2f0 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-6aa21345 data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-6aa21345><div class="divider-line" data-v-6aa21345></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-319d5ca6><div class="curtain" data-v-319d5ca6></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-319d5ca6><span class="visually-hidden" id="sidebar-aria-label" data-v-319d5ca6> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-c40bc020><section class="VPSidebarItem level-0 collapsible has-active" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><h2 class="text" data-v-b7550ba0>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b7550ba0><span class="vpi-chevron-right caret-icon" data-v-b7550ba0></span></div></div><div class="items" data-v-b7550ba0><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C 语言高级</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 核心编程</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 标准库</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>QT 桌面开发</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_01_c-basic_02_xdx_" data-v-39a288b8><div><h1 id="第一章-变量-⭐" tabindex="-1">第一章：变量（⭐） <a class="header-anchor" href="#第一章-变量-⭐" aria-label="Permalink to &quot;第一章：变量（⭐）&quot;"></a></h1><h2 id="_1-1-程序中变化的数据" tabindex="-1">1.1 程序中变化的数据 <a class="header-anchor" href="#_1-1-程序中变化的数据" aria-label="Permalink to &quot;1.1 程序中变化的数据&quot;"></a></h2><ul><li>在生活中，我们使用最多的不是固定的数据，而是会变化的数据： <ul><li>① 购物车商品的<code>数量</code>、<code>价格</code>等。</li><li>② 一首歌<code>播放的时间</code>、<code>进度条</code>、<code>歌词的展示</code>等。</li><li>③ 微信聊天中<code>消息条数</code>、<code>时间</code>、<code>语音的长度</code>、<code>头像</code>、<code>名称</code>等。</li><li>④ 游戏中技能的<code>冷却时间</code>、<code>血量</code>、<code>蓝量</code>、<code>buff 时间</code>、<code>金币的数量</code>等。</li><li>……</li></ul></li></ul><ul><li>下图是一个<code>购物车</code>中<code>变化</code>的<code>数据</code>，即：</li></ul><p><img src="/c/assets/1.CXNJqOOc.png" alt=""></p><ul><li>那么，在实际开发中，我们就会使用<code>变量</code>来<code>保存</code>和<code>操作</code>这些<code>变化</code>的<code>数据</code>。</li></ul><h2 id="_1-2-变量" tabindex="-1">1.2 变量 <a class="header-anchor" href="#_1-2-变量" aria-label="Permalink to &quot;1.2 变量&quot;"></a></h2><ul><li>变量的定义：变量是程序中不可或缺的组成单位，最基本的存储单元。其实，变量就是一个存储数据的临时空间，可以向其中存储不同类型的数据，如：整数、小数、字符、字符串等，并且变量中的数据在程序运行的时候可以动态改变。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li><code>变量</code>：用来<code>存储数据</code>的<code>容器</code>。</li><li><code>数据</code>：可以是一个用来计算的<code>数字</code>，如：上文购物车中的<code>价格</code>等；也可以是一句话中的<code>关键词</code>或<code>其它任意格式的数据</code>。</li><li>变量的<code>特别</code>之处就在于<code>它存放的数据是可以改变</code>的。</li></ul></div><ul><li>我们可以将<code>变量</code>想象为一个<code>容器</code>，盒子中<code>装的</code>就是我们想要的<code>数据</code>，并且我们需要<code>给</code>盒子<code>取</code>一个<code>特别的名称</code>；通过这个<code>特别的名称</code>，我们可以<code>给</code>盒子<code>添加数据</code>或<code>移除数据</code>，这个<code>特别的名称</code>就是<code>变量名</code>。</li></ul><p><img src="/c/assets/2.E0LS08Y5.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① <code>变量</code>是内存中的一个<code>存储区域</code>，该区域的数据可以在<code>同一类型</code>范围内<code>不断变化</code>。</li><li>② 通过<code>变量名</code>，可以<code>操作</code>这块内存区域，向其中<code>存储数据</code>或<code>获取数据</code>以及<code>移除数据</code>。</li><li>③ 变量的构成包含三个要素：<code>数据类型</code>、<code>变量名</code>、<code>需要存储的数据</code>。</li><li>④ 在生活中，我们会经常说：这件衣服的价格是 <code>100（整型）</code> 元，这双鞋子的价格是 <code>250.5（小数，浮点类型）</code> 元，<code>今天天气真好（字符串类型）</code>之类的话；在计算机科学中，这些都是数据，并且它们是有类型，即：数据类型。（数据类型用于定义变量所能存储的数据的种类以及可以对这些数据进行的操作的一种分类，每种数据类型都有特定的属性和用途，它们决定了变量在内存中如何表示和存储，以及变量可以执行哪些操作）</li></ul></div><h2 id="_1-3-变量的声明和使用" tabindex="-1">1.3 变量的声明和使用 <a class="header-anchor" href="#_1-3-变量的声明和使用" aria-label="Permalink to &quot;1.3 变量的声明和使用&quot;"></a></h2><ul><li>① 变量必须先声明，后使用。</li><li>② 可以先声明变量再赋值，也可以在声明变量的同时进行赋值。</li><li>③ 变量的值可以在同一类型范围内不断变化。</li></ul><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>在实际开发中，我们通常都会在声明变量的同时，给其赋值，这被称为初始化。</p></div><ul><li>示例：先声明，再使用</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
 <span class="line"></span>
@ -255,8 +255,8 @@
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 的十六进制（前缀）整数： </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%#X\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, num, num);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 100 的十六进制（前缀）整数： 0X64</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br></div></div><h2 id="_3-3-进制的转换" tabindex="-1">3.3 进制的转换 <a class="header-anchor" href="#_3-3-进制的转换" aria-label="Permalink to &quot;3.3 进制的转换&quot;"></a></h2><h3 id="_3-3-1-概述" tabindex="-1">3.3.1 概述 <a class="header-anchor" href="#_3-3-1-概述" aria-label="Permalink to &quot;3.3.1 概述&quot;"></a></h3><ul><li>不同进制的转换，如下所示：</li></ul><p><img src="/c/assets/19.uqLiL_yu.png" alt=""></p><ul><li>在计算机中，数据是从右往左的方式排列的；其中，最右边的是低位，最左边的是高位，即：</li></ul><p><img src="/c/assets/20.CkykpHY2.png" alt=""></p><h3 id="_3-3-2-二进制和十进制的转换" tabindex="-1">3.3.2 二进制和十进制的转换 <a class="header-anchor" href="#_3-3-2-二进制和十进制的转换" aria-label="Permalink to &quot;3.3.2 二进制和十进制的转换&quot;"></a></h3><h4 id="_3-3-2-1-二进制转换为十进制" tabindex="-1">3.3.2.1 二进制转换为十进制 <a class="header-anchor" href="#_3-3-2-1-二进制转换为十进制" aria-label="Permalink to &quot;3.3.2.1 二进制转换为十进制&quot;"></a></h4><ul><li>规则：从最低位开始，将每个位上的数提取出来，乘以 2 的 （位数 - 1 ）次方，然后求和。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 在学术界，将这种计算规则，称为<code>位权相加法</code>。</li><li>② <code>八进制转换为十进制</code>、<code>十六进制转换为十进制</code>和<code>二进制转换为十进制</code>的算法相同！！！</li></ul></div><ul><li>示例：十进制转十进制</li></ul><p><img src="/c/assets/21.DV1YbrOP.png" alt=""></p><ul><li>示例：二进制转十进制</li></ul><p><img src="/c/assets/22.AHNJT9TV.png" alt=""></p><h4 id="_3-3-2-2-十进制转换二进制" tabindex="-1">3.3.2.2 十进制转换二进制 <a class="header-anchor" href="#_3-3-2-2-十进制转换二进制" aria-label="Permalink to &quot;3.3.2.2 十进制转换二进制&quot;"></a></h4><ul><li>规则：将该数不断除以 2 ，直到商为 0 为止，然后将每步得到的余数倒过来，就是对应的二进制。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 在学术界，将这种计算规则，称为<code>短除法</code>或<code>连续除2取余法</code>。</li><li>② 很好理解，只有不断地除以 2 ，就能保证最大的数字不超过 2 ，这不就是二进制（只能有 0 或 1）吗？</li><li>③ <code>八进制转换为二进制</code>、<code>十六进制转换为二进制</code>和<code>十进制转换为二进制</code>的算法相同！！！</li></ul></div><ul><li>示例：十进制转十进制</li></ul><p><img src="/c/assets/23.Bs-MOwx2.png" alt=""></p><ul><li>示例：十进制转二进制</li></ul><p><img src="/c/assets/24.StzjmBz-.png" alt=""></p><h3 id="_3-3-3-二进制转八进制" tabindex="-1">3.3.3 二进制转八进制 <a class="header-anchor" href="#_3-3-3-二进制转八进制" aria-label="Permalink to &quot;3.3.3 二进制转八进制&quot;"></a></h3><ul><li><p>规则：每 3 位二进制就是一个八进制。</p></li><li><p>示例：011 101 001 -&gt; 351</p></li></ul><p><img src="/c/assets/25.C0wVWaxD.png" alt=""></p><h3 id="_3-3-4-二进制转十六进制" tabindex="-1">3.3.4 二进制转十六进制 <a class="header-anchor" href="#_3-3-4-二进制转十六进制" aria-label="Permalink to &quot;3.3.4 二进制转十六进制&quot;"></a></h3><ul><li><p>规则：每 4 位二进制就是一个十六进制。</p></li><li><p>示例：1110 1001 -&gt; 0xE9</p></li></ul><p><img src="/c/assets/26.LXJMAihe.png" alt=""></p><h2 id="_3-4-原码、反码和补码" tabindex="-1">3.4 原码、反码和补码 <a class="header-anchor" href="#_3-4-原码、反码和补码" aria-label="Permalink to &quot;3.4 原码、反码和补码&quot;"></a></h2><h3 id="_3-4-1-概述" tabindex="-1">3.4.1 概述 <a class="header-anchor" href="#_3-4-1-概述" aria-label="Permalink to &quot;3.4.1 概述&quot;"></a></h3><ul><li>机器数：一个数在计算机的存储形式是二进制，我们称这些二进制数为机器数。机器数可以是有符号的，用机器数的最高位来存放符号位，0 表示正数，1 表示负数。</li></ul><p><img src="/c/assets/27._UTCq3PD.png" alt=""></p><ul><li>真值：因为机器数带有符号位，所以机器数的形式值不等于其真实表示的值（真值），以机器数 1000 0001 为例，其真正表示的值（首位是符号位）为 -1，而形式值却是 129 ，因此将带有符号位的机器数的真正表示的值称为机器数的真值。</li></ul><p><img src="/c/assets/28.BjQ5kBL-.png" alt=""></p><h3 id="_3-4-2-原码" tabindex="-1">3.4.2 原码 <a class="header-anchor" href="#_3-4-2-原码" aria-label="Permalink to &quot;3.4.2 原码&quot;"></a></h3><ul><li>原码的表示与机器数真值表示的一样，即用第一位表示符号，其余位表示数值。</li><li>规则： <ul><li>正数的<code>原码</code>是它本身对应的二进制数，符号位是 0 。</li><li>负数的<code>原码</code>是它本身绝对值对应的二进制数，但是符号位是 1 。</li></ul></li><li>+1 的原码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th></tr></thead><tbody><tr><td>+1</td><td><code>0</code>000 0001</td></tr></tbody></table><ul><li>-1 的原码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th></tr></thead><tbody><tr><td>-1</td><td><code>1</code>000 0001</td></tr></tbody></table><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>按照原码的规则，会出现 <code>+0</code> 和 <code>-0</code> 的情况，即：<code>0</code>000 0000（+0）、<code>1</code>000 0000（-0），显然不符合实际情况；所以，计算机底层虽然存储和计算的都是二进数，但显然不是原码。</p></div><h3 id="_3-4-3-反码" tabindex="-1">3.4.3 反码 <a class="header-anchor" href="#_3-4-3-反码" aria-label="Permalink to &quot;3.4.3 反码&quot;"></a></h3><ul><li><p>规则：</p><ul><li>正数的反码和它的原码相同。</li><li>负数的反码是在其原码的基础上，符号位不变，其余各位取反。</li></ul></li><li><p>+1 的反码，使用 8 位二进数来表示，就是：</p></li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th></tr></thead><tbody><tr><td>+1</td><td><code>0</code>000 0001</td><td><code>0</code>000 0001</td></tr></tbody></table><ul><li>-1 的反码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th></tr></thead><tbody><tr><td>-1</td><td><code>1</code>000 0001</td><td><code>1</code>111 1110</td></tr></tbody></table><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>按照反码的规则，如果是 <code>+0</code>，对应的原码是 <code>0</code>000 0000；那么，其反码还是 <code>0</code>000 0000 ；如果是 <code>-0</code>，对应的原码是 <code>1</code>000 0000，其反码是 <code>1</code>111 1111，显然不符合实际情况；所以，计算机底层虽然存储和计算的都是二进数，但显然不是反码。</p></div><h3 id="_3-4-4-补码" tabindex="-1">3.4.4 补码 <a class="header-anchor" href="#_3-4-4-补码" aria-label="Permalink to &quot;3.4.4 补码&quot;"></a></h3><ul><li><p>规则：</p><ul><li>正数的补码和它的原码相同。</li><li>负数的补码是在其反码的基础上 + 1 。</li></ul></li><li><p>+1 的补码，使用 8 位二进数来表示，就是：</p></li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th><th>补码（8位二进制数）</th></tr></thead><tbody><tr><td>+1</td><td><code>0</code>000 0001</td><td><code>0</code>000 0001</td><td><code>0</code>000 0001</td></tr></tbody></table><ul><li>-1 的补码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th><th>补码（8位二进制数）</th></tr></thead><tbody><tr><td>-1</td><td><code>1</code>000 0001</td><td><code>1</code>111 1110</td><td><code>1</code>111 1111</td></tr></tbody></table><ul><li>如果 0 ，按照 <code>+0</code> 的情况进行处理，即：</li></ul><p><img src="/c/assets/29.COIOzcmT.png" alt=""></p><ul><li>如果 0 ，按照 <code>-0</code> 的情况进行处理，即：</li></ul><p><img src="/c/assets/30.Cu__mjav.png" alt=""></p><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><ul><li>① 补码表示法解决了<code>原码</code>和<code>反码</code>存在的<code>两种</code>零（<code>+0</code> 和 <code>-0</code>）的问题，即：在补码表示法中，只有<code>一个</code>零，即 0000 0000。</li><li>②补码使得<code>加法运算</code>和<code>减法运算</code>可以统一处理，通过将减法运算<code>转换</code>为加法运算，可以简化硬件设计，提高了运算效率。</li><li>③ 计算机底层<code>存储</code>和<code>计算</code>的都是<code>二进数的补码</code>。</li></ul></div><h3 id="_3-4-5-总结" tabindex="-1">3.4.5 总结 <a class="header-anchor" href="#_3-4-5-总结" aria-label="Permalink to &quot;3.4.5 总结&quot;"></a></h3><ul><li>① 正数的原码、反码和补码都是一样的，三码合一。</li><li>② 负数的反码是在其原码的基础上，按位取反（0 变 1 ，1 变 0 ），符号位不变；负数的补码是其反码 + 1 。</li><li>③ 0 的补码是 0 。</li></ul><h2 id="_3-5-计算机底层为什么使用补码" tabindex="-1">3.5 计算机底层为什么使用补码？ <a class="header-anchor" href="#_3-5-计算机底层为什么使用补码" aria-label="Permalink to &quot;3.5 计算机底层为什么使用补码？&quot;"></a></h2><ul><li>如果计算是 <code>2 - 2</code> ，那么可以转换为 <code>2 + (-2)</code>，这样计算机内部在处理<code>减法计算</code>的时候，就会将其转换为<code>加法计算</code>的形式，以简化硬件设计和提高计算效率。</li><li><code>最高位</code>表示<code>符号位</code>，由于符号位的存在，如果使用<code>原码</code>来计算，就会导致<code>计算结果不正确</code>，即：</li></ul><p><img src="/c/assets/31.BX_KzkHt.png" alt=""></p><ul><li><code>补码</code>的设计可以巧妙的让<code>符号位</code>也参与计算，并且可以得到<code>正确的计算结果</code>，即：</li></ul><p><img src="/c/assets/32.COt_QxSP.png" alt=""></p></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-d4a0bba5><!--[--><!--]--><div class="edit-info" data-v-d4a0bba5><!----><div class="last-updated" data-v-d4a0bba5><p class="VPLastUpdated" data-v-d4a0bba5 data-v-7e05ebdb>上次更新: <time datetime="2024-07-17T07:44:31.000Z" data-v-7e05ebdb></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-d4a0bba5><span class="visually-hidden" id="doc-footer-aria-label" data-v-d4a0bba5>Pager</span><div class="pager" data-v-d4a0bba5><a class="VPLink link pager-link prev" href="/c/notes/01_c-basic/01_xdx/" data-v-d4a0bba5><!--[--><span class="desc" data-v-d4a0bba5>上一篇</span><span class="title" data-v-d4a0bba5>C 语言入门</span><!--]--></a></div><div class="pager" data-v-d4a0bba5><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/03_xdx/" data-v-d4a0bba5><!--[--><span class="desc" data-v-d4a0bba5>下一篇</span><span class="title" data-v-d4a0bba5>数据类型和运算符</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
-    <script>window.__VP_HASH_MAP__=JSON.parse("{\"notes_index.md\":\"3bIiHjBr\",\"index.md\":\"uFk6fSzW\",\"notes_01_c-basic_02_xdx_index.md\":\"Cxyt4HEd\",\"notes_01_c-basic_04_xdx_index.md\":\"lfDB99hY\",\"notes_01_c-basic_01_xdx_index.md\":\"DA3nuW_4\",\"notes_01_c-basic_03_xdx_index.md\":\"Bc0D4KAS\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br></div></div><h2 id="_3-3-进制的转换" tabindex="-1">3.3 进制的转换 <a class="header-anchor" href="#_3-3-进制的转换" aria-label="Permalink to &quot;3.3 进制的转换&quot;"></a></h2><h3 id="_3-3-1-概述" tabindex="-1">3.3.1 概述 <a class="header-anchor" href="#_3-3-1-概述" aria-label="Permalink to &quot;3.3.1 概述&quot;"></a></h3><ul><li>不同进制的转换，如下所示：</li></ul><p><img src="/c/assets/19.uqLiL_yu.png" alt=""></p><ul><li>在计算机中，数据是从右往左的方式排列的；其中，最右边的是低位，最左边的是高位，即：</li></ul><p><img src="/c/assets/20.CkykpHY2.png" alt=""></p><h3 id="_3-3-2-二进制和十进制的转换" tabindex="-1">3.3.2 二进制和十进制的转换 <a class="header-anchor" href="#_3-3-2-二进制和十进制的转换" aria-label="Permalink to &quot;3.3.2 二进制和十进制的转换&quot;"></a></h3><h4 id="_3-3-2-1-二进制转换为十进制" tabindex="-1">3.3.2.1 二进制转换为十进制 <a class="header-anchor" href="#_3-3-2-1-二进制转换为十进制" aria-label="Permalink to &quot;3.3.2.1 二进制转换为十进制&quot;"></a></h4><ul><li>规则：从最低位开始，将每个位上的数提取出来，乘以 2 的 （位数 - 1 ）次方，然后求和。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 在学术界，将这种计算规则，称为<code>位权相加法</code>。</li><li>② <code>八进制转换为十进制</code>、<code>十六进制转换为十进制</code>和<code>二进制转换为十进制</code>的算法相同！！！</li></ul></div><ul><li>示例：十进制转十进制</li></ul><p><img src="/c/assets/21.DV1YbrOP.png" alt=""></p><ul><li>示例：二进制转十进制</li></ul><p><img src="/c/assets/22.AHNJT9TV.png" alt=""></p><h4 id="_3-3-2-2-十进制转换二进制" tabindex="-1">3.3.2.2 十进制转换二进制 <a class="header-anchor" href="#_3-3-2-2-十进制转换二进制" aria-label="Permalink to &quot;3.3.2.2 十进制转换二进制&quot;"></a></h4><ul><li>规则：将该数不断除以 2 ，直到商为 0 为止，然后将每步得到的余数倒过来，就是对应的二进制。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 在学术界，将这种计算规则，称为<code>短除法</code>或<code>连续除2取余法</code>。</li><li>② 很好理解，只有不断地除以 2 ，就能保证最大的数字不超过 2 ，这不就是二进制（只能有 0 或 1）吗？</li><li>③ <code>八进制转换为二进制</code>、<code>十六进制转换为二进制</code>和<code>十进制转换为二进制</code>的算法相同！！！</li></ul></div><ul><li>示例：十进制转十进制</li></ul><p><img src="/c/assets/23.Bs-MOwx2.png" alt=""></p><ul><li>示例：十进制转二进制</li></ul><p><img src="/c/assets/24.StzjmBz-.png" alt=""></p><h3 id="_3-3-3-二进制转八进制" tabindex="-1">3.3.3 二进制转八进制 <a class="header-anchor" href="#_3-3-3-二进制转八进制" aria-label="Permalink to &quot;3.3.3 二进制转八进制&quot;"></a></h3><ul><li><p>规则：每 3 位二进制就是一个八进制。</p></li><li><p>示例：011 101 001 -&gt; 351</p></li></ul><p><img src="/c/assets/25.C0wVWaxD.png" alt=""></p><h3 id="_3-3-4-二进制转十六进制" tabindex="-1">3.3.4 二进制转十六进制 <a class="header-anchor" href="#_3-3-4-二进制转十六进制" aria-label="Permalink to &quot;3.3.4 二进制转十六进制&quot;"></a></h3><ul><li><p>规则：每 4 位二进制就是一个十六进制。</p></li><li><p>示例：1110 1001 -&gt; 0xE9</p></li></ul><p><img src="/c/assets/26.LXJMAihe.png" alt=""></p><h2 id="_3-4-原码、反码和补码" tabindex="-1">3.4 原码、反码和补码 <a class="header-anchor" href="#_3-4-原码、反码和补码" aria-label="Permalink to &quot;3.4 原码、反码和补码&quot;"></a></h2><h3 id="_3-4-1-概述" tabindex="-1">3.4.1 概述 <a class="header-anchor" href="#_3-4-1-概述" aria-label="Permalink to &quot;3.4.1 概述&quot;"></a></h3><ul><li>机器数：一个数在计算机的存储形式是二进制，我们称这些二进制数为机器数。机器数可以是有符号的，用机器数的最高位来存放符号位，0 表示正数，1 表示负数。</li></ul><p><img src="/c/assets/27._UTCq3PD.png" alt=""></p><ul><li>真值：因为机器数带有符号位，所以机器数的形式值不等于其真实表示的值（真值），以机器数 1000 0001 为例，其真正表示的值（首位是符号位）为 -1，而形式值却是 129 ，因此将带有符号位的机器数的真正表示的值称为机器数的真值。</li></ul><p><img src="/c/assets/28.BjQ5kBL-.png" alt=""></p><h3 id="_3-4-2-原码" tabindex="-1">3.4.2 原码 <a class="header-anchor" href="#_3-4-2-原码" aria-label="Permalink to &quot;3.4.2 原码&quot;"></a></h3><ul><li>原码的表示与机器数真值表示的一样，即用第一位表示符号，其余位表示数值。</li><li>规则： <ul><li>正数的<code>原码</code>是它本身对应的二进制数，符号位是 0 。</li><li>负数的<code>原码</code>是它本身绝对值对应的二进制数，但是符号位是 1 。</li></ul></li><li>+1 的原码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th></tr></thead><tbody><tr><td>+1</td><td><code>0</code>000 0001</td></tr></tbody></table><ul><li>-1 的原码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th></tr></thead><tbody><tr><td>-1</td><td><code>1</code>000 0001</td></tr></tbody></table><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>按照原码的规则，会出现 <code>+0</code> 和 <code>-0</code> 的情况，即：<code>0</code>000 0000（+0）、<code>1</code>000 0000（-0），显然不符合实际情况；所以，计算机底层虽然存储和计算的都是二进数，但显然不是原码。</p></div><h3 id="_3-4-3-反码" tabindex="-1">3.4.3 反码 <a class="header-anchor" href="#_3-4-3-反码" aria-label="Permalink to &quot;3.4.3 反码&quot;"></a></h3><ul><li><p>规则：</p><ul><li>正数的反码和它的原码相同。</li><li>负数的反码是在其原码的基础上，符号位不变，其余各位取反。</li></ul></li><li><p>+1 的反码，使用 8 位二进数来表示，就是：</p></li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th></tr></thead><tbody><tr><td>+1</td><td><code>0</code>000 0001</td><td><code>0</code>000 0001</td></tr></tbody></table><ul><li>-1 的反码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th></tr></thead><tbody><tr><td>-1</td><td><code>1</code>000 0001</td><td><code>1</code>111 1110</td></tr></tbody></table><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><p>按照反码的规则，如果是 <code>+0</code>，对应的原码是 <code>0</code>000 0000；那么，其反码还是 <code>0</code>000 0000 ；如果是 <code>-0</code>，对应的原码是 <code>1</code>000 0000，其反码是 <code>1</code>111 1111，显然不符合实际情况；所以，计算机底层虽然存储和计算的都是二进数，但显然不是反码。</p></div><h3 id="_3-4-4-补码" tabindex="-1">3.4.4 补码 <a class="header-anchor" href="#_3-4-4-补码" aria-label="Permalink to &quot;3.4.4 补码&quot;"></a></h3><ul><li><p>规则：</p><ul><li>正数的补码和它的原码相同。</li><li>负数的补码是在其反码的基础上 + 1 。</li></ul></li><li><p>+1 的补码，使用 8 位二进数来表示，就是：</p></li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th><th>补码（8位二进制数）</th></tr></thead><tbody><tr><td>+1</td><td><code>0</code>000 0001</td><td><code>0</code>000 0001</td><td><code>0</code>000 0001</td></tr></tbody></table><ul><li>-1 的补码，使用 8 位二进数来表示，就是：</li></ul><table tabindex="0"><thead><tr><th>十进制数</th><th>原码（8位二进制数）</th><th>反码（8位二进制数）</th><th>补码（8位二进制数）</th></tr></thead><tbody><tr><td>-1</td><td><code>1</code>000 0001</td><td><code>1</code>111 1110</td><td><code>1</code>111 1111</td></tr></tbody></table><ul><li>如果 0 ，按照 <code>+0</code> 的情况进行处理，即：</li></ul><p><img src="/c/assets/29.COIOzcmT.png" alt=""></p><ul><li>如果 0 ，按照 <code>-0</code> 的情况进行处理，即：</li></ul><p><img src="/c/assets/30.Cu__mjav.png" alt=""></p><div class="important custom-block github-alert"><p class="custom-block-title">IMPORTANT</p><p></p><ul><li>① 补码表示法解决了<code>原码</code>和<code>反码</code>存在的<code>两种</code>零（<code>+0</code> 和 <code>-0</code>）的问题，即：在补码表示法中，只有<code>一个</code>零，即 0000 0000。</li><li>②补码使得<code>加法运算</code>和<code>减法运算</code>可以统一处理，通过将减法运算<code>转换</code>为加法运算，可以简化硬件设计，提高了运算效率。</li><li>③ 计算机底层<code>存储</code>和<code>计算</code>的都是<code>二进数的补码</code>。</li></ul></div><h3 id="_3-4-5-总结" tabindex="-1">3.4.5 总结 <a class="header-anchor" href="#_3-4-5-总结" aria-label="Permalink to &quot;3.4.5 总结&quot;"></a></h3><ul><li>① 正数的原码、反码和补码都是一样的，三码合一。</li><li>② 负数的反码是在其原码的基础上，按位取反（0 变 1 ，1 变 0 ），符号位不变；负数的补码是其反码 + 1 。</li><li>③ 0 的补码是 0 。</li></ul><h2 id="_3-5-计算机底层为什么使用补码" tabindex="-1">3.5 计算机底层为什么使用补码？ <a class="header-anchor" href="#_3-5-计算机底层为什么使用补码" aria-label="Permalink to &quot;3.5 计算机底层为什么使用补码？&quot;"></a></h2><ul><li>如果计算是 <code>2 - 2</code> ，那么可以转换为 <code>2 + (-2)</code>，这样计算机内部在处理<code>减法计算</code>的时候，就会将其转换为<code>加法计算</code>的形式，以简化硬件设计和提高计算效率。</li><li><code>最高位</code>表示<code>符号位</code>，由于符号位的存在，如果使用<code>原码</code>来计算，就会导致<code>计算结果不正确</code>，即：</li></ul><p><img src="/c/assets/31.BX_KzkHt.png" alt=""></p><ul><li><code>补码</code>的设计可以巧妙的让<code>符号位</code>也参与计算，并且可以得到<code>正确的计算结果</code>，即：</li></ul><p><img src="/c/assets/32.COt_QxSP.png" alt=""></p></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-e257564d><!--[--><!--]--><div class="edit-info" data-v-e257564d><!----><div class="last-updated" data-v-e257564d><p class="VPLastUpdated" data-v-e257564d data-v-e98dd255>上次更新: <time datetime="2024-07-17T07:44:31.000Z" data-v-e98dd255></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-e257564d><span class="visually-hidden" id="doc-footer-aria-label" data-v-e257564d>Pager</span><div class="pager" data-v-e257564d><a class="VPLink link pager-link prev" href="/c/notes/01_c-basic/01_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>上一篇</span><span class="title" data-v-e257564d>C 语言入门</span><!--]--></a></div><div class="pager" data-v-e257564d><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/03_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>下一篇</span><span class="title" data-v-e257564d>数据类型和运算符</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
+    <script>window.__VP_HASH_MAP__=JSON.parse("{\"index.md\":\"D0m5RaG6\",\"notes_01_c-basic_01_xdx_index.md\":\"7lTzv-1j\",\"notes_01_c-basic_02_xdx_index.md\":\"36L8tSmA\",\"notes_01_c-basic_03_xdx_index.md\":\"BUQ_uNMg\",\"notes_01_c-basic_04_xdx_index.md\":\"CwyFE3Gl\",\"notes_01_c-basic_05_xdx_index.md\":\"aZr9FRYL\",\"notes_index.md\":\"qg0s9W8s\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
    
  </body>
 </html>
--- a/notes/01_c-basic/03_xdx/index.html
+++ b/notes/01_c-basic/03_xdx/index.html
@ -5,14 +5,14 @@
    
    <title>第一章：数据类型（⭐） | Hi，终于等到你</title>
    <meta name="description" content="许大仙前端、Java、大数据、云原生">
-    <meta name="generator" content="VitePress v1.2.3">
-    <link rel="preload stylesheet" href="/c/assets/style.bTUc_nQv.css" as="style">
+    <meta name="generator" content="VitePress v1.3.1">
+    <link rel="preload stylesheet" href="/c/assets/style.DF3ihcHP.css" as="style">
    
-    <script type="module" src="/c/assets/app.B-gMyJXN.js"></script>
+    <script type="module" src="/c/assets/app.tyefp9BV.js"></script>
    <link rel="preload" href="/c/assets/inter-roman-latin.Di8DUHzh.woff2" as="font" type="font/woff2" crossorigin="">
-    <link rel="modulepreload" href="/c/assets/chunks/framework.BE8if9e6.js">
-    <link rel="modulepreload" href="/c/assets/chunks/theme.CJXJMEf1.js">
-    <link rel="modulepreload" href="/c/assets/notes_01_c-basic_03_xdx_index.md.Bc0D4KAS.lean.js">
+    <link rel="modulepreload" href="/c/assets/chunks/framework.CZKtKhAm.js">
+    <link rel="modulepreload" href="/c/assets/chunks/theme.DpGvkbEa.js">
+    <link rel="modulepreload" href="/c/assets/notes_01_c-basic_03_xdx_index.md.BUQ_uNMg.lean.js">
    <link rel="shortcut icon" href="/c//logo.svg">
    <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1.0, maximum-scale=1.0, user-scalable=no,shrink-to-fit=no">
    <meta name="keywords" content="许大仙,许大仙的博客">
@ -20,7 +20,7 @@
    <script id="check-mac-os">document.documentElement.classList.toggle("mac",/Mac|iPhone|iPod|iPad/i.test(navigator.platform));</script>
  </head>
  <body>
-    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-ccf7ddec><div class="wrapper" data-v-ccf7ddec><div class="container" data-v-ccf7ddec><div class="title" data-v-ccf7ddec><div class="VPNavBarTitle has-sidebar" data-v-ccf7ddec data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-ccf7ddec><div class="content-body" data-v-ccf7ddec><!--[--><!--]--><div class="VPNavBarSearch search" data-v-ccf7ddec><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-ccf7ddec data-v-7f418b0f><span id="main-nav-aria-label" class="visually-hidden" data-v-7f418b0f>Main Navigation</span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-ccf7ddec data-v-e6aabb21><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-e6aabb21 data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-ccf7ddec data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-ccf7ddec data-v-d0bd9dde data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-e7ea1737><!----><!--[--><!--[--><!----><div class="group" data-v-d0bd9dde><div class="item appearance" data-v-d0bd9dde><p class="label" data-v-d0bd9dde>Appearance</p><div class="appearance-action" data-v-d0bd9dde><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-d0bd9dde data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div></div></div><div class="group" data-v-d0bd9dde><div class="item social-links" data-v-d0bd9dde><div class="VPSocialLinks social-links-list" data-v-d0bd9dde data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-ccf7ddec data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-ccf7ddec><div class="divider-line" data-v-ccf7ddec></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-575e6a36><div class="curtain" data-v-575e6a36></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-575e6a36><span class="visually-hidden" id="sidebar-aria-label" data-v-575e6a36> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="group" data-v-575e6a36><section class="VPSidebarItem level-0 collapsible has-active" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><h2 class="text" data-v-b8d55f3b>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b8d55f3b><span class="vpi-chevron-right caret-icon" data-v-b8d55f3b></span></div></div><div class="items" data-v-b8d55f3b><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C 语言高级</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 核心编程</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 标准库</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>QT 桌面开发</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_01_c-basic_03_xdx_" data-v-39a288b8><div><h1 id="第一章-数据类型-⭐" tabindex="-1">第一章：数据类型（⭐） <a class="header-anchor" href="#第一章-数据类型-⭐" aria-label="Permalink to &quot;第一章：数据类型（⭐）&quot;"></a></h1><h2 id="_1-1-概述" tabindex="-1">1.1 概述 <a class="header-anchor" href="#_1-1-概述" aria-label="Permalink to &quot;1.1 概述&quot;"></a></h2><ul><li><p>根据<code>变量</code>中<code>存储</code>的<code>值</code>的<code>不同</code>，我们可以将<code>变量</code>分为两类：</p><ul><li><code>普通变量</code>：变量所对应的内存中存储的是<code>普通值</code>。</li><li><code>指针变量</code>：变量所对应的内存中存储的是<code>另一个变量的地址</code>。</li></ul></li><li><p>如下图所示：</p></li></ul><p><img src="/c/assets/1.L8V3GBrc.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>普通变量和指针变量的相同点：</p><ul><li>普通变量有内存空间，指针变量也有内存空间。</li><li>普通变量有内存地址，指针变量也有内存地址。</li><li>普通变量所对应的内存空间中有值，指针变量所对应的内存空间中也有值。</li></ul><p>普通变量和指针变量的不同点：</p><ul><li>普通变量所对应的内存空间存储的是普通的值，如：整数、小数、字符等；指针变量所对应的内存空间存储的是另外一个变量的地址。</li><li>普通变量有普通变量的运算方式，而指针变量有指针变量的运算方式（后续讲解）。</li></ul></div><ul><li>那么，在 C 语言中变量的数据类型就可以这么划分，如下所示：</li></ul><p><img src="/c/assets/2.BkF1yWLn.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>根据<code>普通变量</code>中<code>存储</code>的<code>值</code>的类型不同，可以将<code>普通变量类型</code>划分为<code>基本数据类型</code>（整型、字符类型、浮点类型、布尔类型）和<code>复合数据类型</code>（数组类型、结构体类型、共用体类型、枚举类型）。</li><li>根据<code>指针变量</code>所<code>指向空间</code>中<code>存储</code>的<code>值</code>的类型不同，可以将<code>指针类型</code>分为<code>基本数据类型指针</code>、<code>复合数据类型指针</code>、<code>函数指针</code>、<code>数组指针</code>等，例如：如果指针所指向的空间保存的是 int 类型，那么该指针就是 int 类型的指针。</li></ul></div><h2 id="_1-2-整数类型" tabindex="-1">1.2 整数类型 <a class="header-anchor" href="#_1-2-整数类型" aria-label="Permalink to &quot;1.2 整数类型&quot;"></a></h2><h3 id="_1-2-1-概述" tabindex="-1">1.2.1 概述 <a class="header-anchor" href="#_1-2-1-概述" aria-label="Permalink to &quot;1.2.1 概述&quot;"></a></h3><ul><li>整数类型简称整型，用于存储整数值，如：12、20、50 等。</li><li>根据所占<code>内存空间</code>大小的不同，可以将整数类型划分为：</li><li>① 短整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned short （无符号短整型）</td><td>2 字节</td><td>0 ~ 65,535 (2^16 - 1)</td></tr><tr><td>[signed] short（有符号短整型，默认）</td><td>2 字节</td><td>-32,768 (- 2^15) ~ 32,767 (2^15 -1)</td></tr></tbody></table><ul><li>② 整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned int（无符号整型）</td><td>4 字节（通常）</td><td>0 ~ 4294967295 (0 ~2^32 -1)</td></tr><tr><td>[signed] int（有符号整型，默认）</td><td>4 字节（通常）</td><td>-2147483648（- 2^31） ~ 2147483647 (2^31-1)</td></tr></tbody></table><ul><li>③ 长整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned long（无符号长整型）</td><td>4 字节（通常）</td><td>0 ~2^32 -1</td></tr><tr><td>[signed] long（有符号长整型，默认）</td><td>4 字节（通常）</td><td>- 2^31 ~ 2^31-1</td></tr></tbody></table><ul><li>④ 长长整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned long long（无符号长整型）</td><td>8 字节（通常）</td><td>0 ~2^64 -1</td></tr><tr><td>[signed] long long（有符号长整型，默认）</td><td>8 字节（通常）</td><td>- 2^63 ~ 2^63-1</td></tr></tbody></table><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① C 语言默认没有规定各种数据类型所占存储单元的长度，但是通常需要遵守：<code>sizeof(short int) ≤ sizeof(int) ≤ sizeof(long int) ≤ sizeof(long long)</code> ，具体的存储空间由编译系统自行决定；其中，sizeof 是测量类型或变量、常量长度的运算符。</li><li>② short 至少 2 个字节，long 至少 4 个字节。</li><li>③ 之所以这么规定，是为了可以让 C 语言长久使用，因为目前主流的 CPU 都是 64 位，但是在 C语言刚刚出现的时候，CPU 还是以 8 位和 16 位为主。如果当时就将整型定死为 8 位或 16 位，那么现在我们肯定不会再学习 C 语言了。</li><li>④ 整型分为有符号 signed 和无符号 unsigned 两种，默认是 signed。</li><li>⑤ 在实际开发中，<code>最常用的整数类型</code>就是 <code>int</code> 类型了，如果取值范围不够，就使用 long 或 long long 。</li><li>⑥ C 语言中的<code>格式占位符</code>非常多，只需要大致了解即可；因为，我们在实际开发中，一般都会使用 C++ 或 Rust 以及其它的高级编程语言，如：Java 等，早已经解决了需要通过<code>格式占位符</code>来输入和输出变量。</li></ul></div><h3 id="_1-2-2-短整型-了解" tabindex="-1">1.2.2 短整型（了解） <a class="header-anchor" href="#_1-2-2-短整型-了解" aria-label="Permalink to &quot;1.2.2 短整型（了解）&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">unsigned</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> short</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 无符号短整型</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">short</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 有符号短整型</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 有符号表示的是正数、负数和 0 ，即有正负号。无符号表示的是 0 和正数，即正整数，没有符号。</li><li>② 在 <code>printf</code> 中<code>无符号短整型（unsigned short）</code>的<code>格式占位符</code>是 <code>%hu</code> ，<code>有符号短整型（signed short）</code>的<code>格式占位符</code>是 <code>%hd</code> 。</li><li>③ 可以通过 <code>sizeof</code> 运算符获取<code>无符号短整型（unsigned short）</code> 和 <code>有符号短整型（signed short）</code> 的<code>存储空间（所占内存空间）</code>。</li><li>③ 可以通过 <code>#include &lt;limits.h&gt;</code> 来获取 <code>无符号短整型（unsigned short）</code> 和<code>有符号短整型（signed short）</code>的<code>取值范围</code>。</li></ul></div><ul><li>示例：定义和打印短整型变量</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-6aa21345><div class="wrapper" data-v-6aa21345><div class="container" data-v-6aa21345><div class="title" data-v-6aa21345><div class="VPNavBarTitle has-sidebar" data-v-6aa21345 data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-6aa21345><div class="content-body" data-v-6aa21345><!--[--><!--]--><div class="VPNavBarSearch search" data-v-6aa21345><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-6aa21345 data-v-dc692963><span id="main-nav-aria-label" class="visually-hidden" data-v-dc692963> Main Navigation </span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-6aa21345 data-v-6c893767><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-6c893767 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-6aa21345 data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-6aa21345 data-v-bb2aa2f0 data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-b98bc113><!----><!--[--><!--[--><!----><div class="group" data-v-bb2aa2f0><div class="item appearance" data-v-bb2aa2f0><p class="label" data-v-bb2aa2f0>Appearance</p><div class="appearance-action" data-v-bb2aa2f0><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-bb2aa2f0 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div></div></div><div class="group" data-v-bb2aa2f0><div class="item social-links" data-v-bb2aa2f0><div class="VPSocialLinks social-links-list" data-v-bb2aa2f0 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-6aa21345 data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-6aa21345><div class="divider-line" data-v-6aa21345></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-319d5ca6><div class="curtain" data-v-319d5ca6></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-319d5ca6><span class="visually-hidden" id="sidebar-aria-label" data-v-319d5ca6> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-c40bc020><section class="VPSidebarItem level-0 collapsible has-active" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><h2 class="text" data-v-b7550ba0>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b7550ba0><span class="vpi-chevron-right caret-icon" data-v-b7550ba0></span></div></div><div class="items" data-v-b7550ba0><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C 语言高级</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 核心编程</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 标准库</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>QT 桌面开发</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_01_c-basic_03_xdx_" data-v-39a288b8><div><h1 id="第一章-数据类型-⭐" tabindex="-1">第一章：数据类型（⭐） <a class="header-anchor" href="#第一章-数据类型-⭐" aria-label="Permalink to &quot;第一章：数据类型（⭐）&quot;"></a></h1><h2 id="_1-1-概述" tabindex="-1">1.1 概述 <a class="header-anchor" href="#_1-1-概述" aria-label="Permalink to &quot;1.1 概述&quot;"></a></h2><ul><li><p>根据<code>变量</code>中<code>存储</code>的<code>值</code>的<code>不同</code>，我们可以将<code>变量</code>分为两类：</p><ul><li><code>普通变量</code>：变量所对应的内存中存储的是<code>普通值</code>。</li><li><code>指针变量</code>：变量所对应的内存中存储的是<code>另一个变量的地址</code>。</li></ul></li><li><p>如下图所示：</p></li></ul><p><img src="/c/assets/1.L8V3GBrc.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>普通变量和指针变量的相同点：</p><ul><li>普通变量有内存空间，指针变量也有内存空间。</li><li>普通变量有内存地址，指针变量也有内存地址。</li><li>普通变量所对应的内存空间中有值，指针变量所对应的内存空间中也有值。</li></ul><p>普通变量和指针变量的不同点：</p><ul><li>普通变量所对应的内存空间存储的是普通的值，如：整数、小数、字符等；指针变量所对应的内存空间存储的是另外一个变量的地址。</li><li>普通变量有普通变量的运算方式，而指针变量有指针变量的运算方式（后续讲解）。</li></ul></div><ul><li>那么，在 C 语言中变量的数据类型就可以这么划分，如下所示：</li></ul><p><img src="/c/assets/2.BkF1yWLn.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>根据<code>普通变量</code>中<code>存储</code>的<code>值</code>的类型不同，可以将<code>普通变量类型</code>划分为<code>基本数据类型</code>（整型、字符类型、浮点类型、布尔类型）和<code>复合数据类型</code>（数组类型、结构体类型、共用体类型、枚举类型）。</li><li>根据<code>指针变量</code>所<code>指向空间</code>中<code>存储</code>的<code>值</code>的类型不同，可以将<code>指针类型</code>分为<code>基本数据类型指针</code>、<code>复合数据类型指针</code>、<code>函数指针</code>、<code>数组指针</code>等，例如：如果指针所指向的空间保存的是 int 类型，那么该指针就是 int 类型的指针。</li></ul></div><h2 id="_1-2-整数类型" tabindex="-1">1.2 整数类型 <a class="header-anchor" href="#_1-2-整数类型" aria-label="Permalink to &quot;1.2 整数类型&quot;"></a></h2><h3 id="_1-2-1-概述" tabindex="-1">1.2.1 概述 <a class="header-anchor" href="#_1-2-1-概述" aria-label="Permalink to &quot;1.2.1 概述&quot;"></a></h3><ul><li>整数类型简称整型，用于存储整数值，如：12、20、50 等。</li><li>根据所占<code>内存空间</code>大小的不同，可以将整数类型划分为：</li><li>① 短整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned short （无符号短整型）</td><td>2 字节</td><td>0 ~ 65,535 (2^16 - 1)</td></tr><tr><td>[signed] short（有符号短整型，默认）</td><td>2 字节</td><td>-32,768 (- 2^15) ~ 32,767 (2^15 -1)</td></tr></tbody></table><ul><li>② 整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned int（无符号整型）</td><td>4 字节（通常）</td><td>0 ~ 4294967295 (0 ~2^32 -1)</td></tr><tr><td>[signed] int（有符号整型，默认）</td><td>4 字节（通常）</td><td>-2147483648（- 2^31） ~ 2147483647 (2^31-1)</td></tr></tbody></table><ul><li>③ 长整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned long（无符号长整型）</td><td>4 字节（通常）</td><td>0 ~2^32 -1</td></tr><tr><td>[signed] long（有符号长整型，默认）</td><td>4 字节（通常）</td><td>- 2^31 ~ 2^31-1</td></tr></tbody></table><ul><li>④ 长长整型：</li></ul><table tabindex="0"><thead><tr><th>类型</th><th>存储空间（内存空间）</th><th>取值范围</th></tr></thead><tbody><tr><td>unsigned long long（无符号长整型）</td><td>8 字节（通常）</td><td>0 ~2^64 -1</td></tr><tr><td>[signed] long long（有符号长整型，默认）</td><td>8 字节（通常）</td><td>- 2^63 ~ 2^63-1</td></tr></tbody></table><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① C 语言默认没有规定各种数据类型所占存储单元的长度，但是通常需要遵守：<code>sizeof(short int) ≤ sizeof(int) ≤ sizeof(long int) ≤ sizeof(long long)</code> ，具体的存储空间由编译系统自行决定；其中，sizeof 是测量类型或变量、常量长度的运算符。</li><li>② short 至少 2 个字节，long 至少 4 个字节。</li><li>③ 之所以这么规定，是为了可以让 C 语言长久使用，因为目前主流的 CPU 都是 64 位，但是在 C语言刚刚出现的时候，CPU 还是以 8 位和 16 位为主。如果当时就将整型定死为 8 位或 16 位，那么现在我们肯定不会再学习 C 语言了。</li><li>④ 整型分为有符号 signed 和无符号 unsigned 两种，默认是 signed。</li><li>⑤ 在实际开发中，<code>最常用的整数类型</code>就是 <code>int</code> 类型了，如果取值范围不够，就使用 long 或 long long 。</li><li>⑥ C 语言中的<code>格式占位符</code>非常多，只需要大致了解即可；因为，我们在实际开发中，一般都会使用 C++ 或 Rust 以及其它的高级编程语言，如：Java 等，早已经解决了需要通过<code>格式占位符</code>来输入和输出变量。</li></ul></div><h3 id="_1-2-2-短整型-了解" tabindex="-1">1.2.2 短整型（了解） <a class="header-anchor" href="#_1-2-2-短整型-了解" aria-label="Permalink to &quot;1.2.2 短整型（了解）&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">unsigned</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> short</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> ;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 无符号短整型</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">short</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> x </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 有符号短整型</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 有符号表示的是正数、负数和 0 ，即有正负号。无符号表示的是 0 和正数，即正整数，没有符号。</li><li>② 在 <code>printf</code> 中<code>无符号短整型（unsigned short）</code>的<code>格式占位符</code>是 <code>%hu</code> ，<code>有符号短整型（signed short）</code>的<code>格式占位符</code>是 <code>%hd</code> 。</li><li>③ 可以通过 <code>sizeof</code> 运算符获取<code>无符号短整型（unsigned short）</code> 和 <code>有符号短整型（signed short）</code> 的<code>存储空间（所占内存空间）</code>。</li><li>③ 可以通过 <code>#include &lt;limits.h&gt;</code> 来获取 <code>无符号短整型（unsigned short）</code> 和<code>有符号短整型（signed short）</code>的<code>取值范围</code>。</li></ul></div><ul><li>示例：定义和打印短整型变量</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
 <span class="line"></span>
@ -788,8 +788,8 @@
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;result = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, result);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // result = 110</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br></div></div><h2 id="_2-8-运算符优先级" tabindex="-1">2.8 运算符优先级 <a class="header-anchor" href="#_2-8-运算符优先级" aria-label="Permalink to &quot;2.8 运算符优先级&quot;"></a></h2><ul><li>C 语言中运算符的优先级，如下所示：</li></ul><table tabindex="0"><thead><tr><th><strong>优先级</strong></th><th><strong>运算符</strong></th><th><strong>名称或含义</strong></th><th><strong>结合方向</strong></th></tr></thead><tbody><tr><td><strong>1</strong></td><td><code>[]</code></td><td>数组下标</td><td>左到右</td></tr><tr><td></td><td><code>()</code></td><td>圆括号</td><td></td></tr><tr><td></td><td><code>.</code></td><td>成员选择（对象）</td><td></td></tr><tr><td></td><td><code>-&gt;</code></td><td>成员选择（指针）</td><td></td></tr><tr><td><strong>2</strong></td><td><code>-</code></td><td>负号运算符</td><td>右到左</td></tr><tr><td></td><td><code>（类型）</code></td><td>强制类型转换</td><td></td></tr><tr><td></td><td><code>++</code></td><td>自增运算符</td><td></td></tr><tr><td></td><td><code>--</code></td><td>自减运算符</td><td></td></tr><tr><td></td><td><code>*</code></td><td>取值运算符</td><td></td></tr><tr><td></td><td><code>&amp;</code></td><td>取地址运算符</td><td></td></tr><tr><td></td><td><code>!</code></td><td>逻辑非运算符</td><td></td></tr><tr><td></td><td><code>~</code></td><td>按位取反运算符</td><td></td></tr><tr><td></td><td><code>sizeof</code></td><td>长度运算符</td><td></td></tr><tr><td><strong>3</strong></td><td><code>/</code></td><td>除</td><td>左到右</td></tr><tr><td></td><td><code>*</code></td><td>乘</td><td></td></tr><tr><td></td><td><code>%</code></td><td>余数（取模）</td><td></td></tr><tr><td><strong>4</strong></td><td><code>+</code></td><td>加</td><td>左到右</td></tr><tr><td></td><td><code>-</code></td><td>减</td><td></td></tr><tr><td><strong>5</strong></td><td><code>&lt;&lt;</code></td><td>左移</td><td>左到右</td></tr><tr><td></td><td><code>&gt;&gt;</code></td><td>右移</td><td></td></tr><tr><td><strong>6</strong></td><td><code>&gt;</code></td><td>大于</td><td>左到右</td></tr><tr><td></td><td><code>&gt;=</code></td><td>大于等于</td><td></td></tr><tr><td></td><td><code>&lt;</code></td><td>小于</td><td></td></tr><tr><td></td><td><code>&lt;=</code></td><td>小于等于</td><td></td></tr><tr><td><strong>7</strong></td><td><code>==</code></td><td>等于</td><td>左到右</td></tr><tr><td></td><td><code>!=</code></td><td>不等于</td><td></td></tr><tr><td><strong>8</strong></td><td><code>&amp;</code></td><td>按位与</td><td>左到右</td></tr><tr><td><strong>9</strong></td><td><code>^</code></td><td>按位异或</td><td>左到右</td></tr><tr><td><strong>10</strong></td><td><code>|</code></td><td>按位或</td><td>左到右</td></tr><tr><td><strong>11</strong></td><td><code>&amp;&amp;</code></td><td>逻辑与</td><td>左到右</td></tr><tr><td><strong>12</strong></td><td><code>||</code></td><td>逻辑或</td><td>左到右</td></tr><tr><td><strong>13</strong></td><td><code>?:</code></td><td>条件运算符</td><td>右到左</td></tr><tr><td><strong>14</strong></td><td><code>=</code></td><td>赋值运算符</td><td>右到左</td></tr><tr><td></td><td><code>/=</code></td><td>除后赋值</td><td></td></tr><tr><td></td><td><code>*=</code></td><td>乘后赋值</td><td></td></tr><tr><td></td><td><code>%=</code></td><td>取模后赋值</td><td></td></tr><tr><td></td><td><code>+=</code></td><td>加后赋值</td><td></td></tr><tr><td></td><td><code>-=</code></td><td>减后赋值</td><td></td></tr><tr><td></td><td><code>&lt;&lt;=</code></td><td>左移后赋值</td><td></td></tr><tr><td></td><td><code>&gt;&gt;=</code></td><td>右移后赋值</td><td></td></tr><tr><td></td><td><code>&amp;=</code></td><td>按位与后赋值</td><td></td></tr><tr><td></td><td><code>^=</code></td><td>按位异或后赋值</td><td></td></tr><tr><td></td><td><code>|=</code></td><td>按位或后赋值</td><td></td></tr><tr><td><strong>15</strong></td><td><code>,</code></td><td>逗号运算符</td><td>左到右</td></tr></tbody></table><div class="warning custom-block github-alert"><p class="custom-block-title">WARNING</p><p></p><ul><li>① 不要过多的依赖运算符的优先级来控制表达式的执行顺序，这样可读性太差，尽量<code>使用小括号来控制</code>表达式的执行顺序。</li><li>② 不要把一个表达式写得过于复杂，如果一个表达式过于复杂，则把它<code>分成几步</code>来完成。</li><li>③ 运算符优先级不用刻意地去记忆，总体上：一元运算符 &gt; 算术运算符 &gt; 关系运算符 &gt; 逻辑运算符 &gt; 三元运算符 &gt; 赋值运算符。</li></ul></div><h1 id="第三章-附录" tabindex="-1">第三章：附录 <a class="header-anchor" href="#第三章-附录" aria-label="Permalink to &quot;第三章：附录&quot;"></a></h1><h2 id="_3-1-字符集和字符集编码" tabindex="-1">3.1 字符集和字符集编码 <a class="header-anchor" href="#_3-1-字符集和字符集编码" aria-label="Permalink to &quot;3.1 字符集和字符集编码&quot;"></a></h2><h3 id="_3-3-1-概述" tabindex="-1">3.3.1 概述 <a class="header-anchor" href="#_3-3-1-概述" aria-label="Permalink to &quot;3.3.1 概述&quot;"></a></h3><ul><li>字符集和字符集编码（简称编码）计算机系统中处理文本数据的两个基本概念，它们密切相关但又有区别。</li><li>字符集（Character Set）是一组字符的集合，其中每个字符都被分配了一个<code>唯一的编号</code>（通常是数字）。字符可以是字母、数字、符号、控制代码（如换行符）等。<code>字符集定义了可以表示的字符的范围</code>，但它并不直接定义如何将这些字符存储在计算机中。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>ASCII（美国信息交换标准代码）是最早期和最简单的字符集之一，它只包括了英文字母、数字和一些特殊字符，共 128 个字符。每个字符都分配给了一个从 0 到 127 的数字。</p></div><ul><li>字符集编码（Character Encoding，简称编码）是一种方案或方法，<code>它定义了如何将字符集中的字符转换为计算机存储和传输的数据（通常是一串二进制数字）</code>。简而言之，编码是字符到二进制数据之间的映射规则。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>ASCII编码方案定义了如何将 ASCII 字符集中的每个字符表示为 7 位的二进制数字。例如：大写字母<code>&quot;A&quot;</code>在ASCII 编码中表示为二进制的<code>1000001</code>，十进制的 <code>65</code> 。</p></div><ul><li><code>字符集</code>和<code>字符集编码</code>之间的关系如下：</li></ul><p><img src="/c/assets/29.CGTVELeO.png" alt=""></p><ul><li>Linux 中安装帮助手册：</li></ul><p><img src="/c/assets/30.Bz4_lEH0.gif" alt=""></p><h3 id="_3-3-2-ascii-编码" tabindex="-1">3.3.2 ASCII 编码 <a class="header-anchor" href="#_3-3-2-ascii-编码" aria-label="Permalink to &quot;3.3.2 ASCII 编码&quot;"></a></h3><ul><li>从<code>冯·诺依曼</code>体系结构中，我们知道，计算机中所有的<code>数据</code>和<code>指令</code>都是以<code>二进制</code>的形式表示的；所以，计算机中对于文本数据的数据也是以二进制来存储的，那么对应的流程如下：</li></ul><p><img src="/c/assets/31.CcDWE4nn.png" alt=""></p><ul><li>我们知道，计算机是上个世纪 60 年代在美国研制成功的，为了实现字符和二进制的转换，美国就制定了一套字符编码，即英语字符和二进制位之间的关系，即 ASCII （American Standard Code for Information Interchange）编码： <ul><li>ASCII 编码只包括了英文字符、数字和一些特殊字符，一共 128 个字符，并且每个字符都分配了唯一的数字，范围是 0 - 127。</li><li>ASCII 编码中的每个字符都使用 7 位的二进制数字表示；但是，计算机中的存储的最小单位是 1 B = 8 位，那么最高位统一规定为 0 。</li></ul></li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 其实，早期是没有字符集的概念的，只是后来为了解决乱码问题，而产生了字符集的概念。</li><li>② 对于英文体系来说，<code>a-zA-Z0-9</code>以及一些<code>特殊字符</code>一共 <code>128</code> 就可以满足实际存储需求；所以，在也是为什么 ASCII 码使用 7 位二进制（2^7 = 128 ）来存储的。</li></ul></div><ul><li>在操作系统中，就内置了对应的编码表，Linux 也不例外；可以使用如下的命令查看：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">man</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ascii</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/32.B7y2_JVX.gif" alt=""></p><ul><li>其对应的 ASCII 编码表，如下所示：</li></ul><p><img src="/c/assets/33.Btcc3rs2.gif" alt=""></p><ul><li>但是，随着计算机的发展，计算机开始了东征之路，由美国传播到东方：</li></ul><p><img src="/c/assets/34.CR4ARW8y.png" alt=""></p><ul><li>先是传播到了欧洲，欧洲在兼容 ASCII 编码的基础上，推出了 ISO8859-1 编码，即： <ul><li>ISO8859-1 编码包括基本的拉丁字母表、数字、标点符号，以及西欧语言中特有的一些字符，如：法语中的 <code>è</code>、德语中的 <code>ü</code> 等。</li><li>ISO 8859-1 为每个字符分配一个单字节（8 位）编码，意味着它可以表示最多 256 （2^8）个不同的字符（编号从 0 到 255）。</li><li>ISO 8859-1 的前 128 个字符与 ASCII 编码完全一致，这使得 ASCII 编码的文本可以无缝转换为 ISO 8859-1 编码。</li></ul></li></ul><p><img src="/c/assets/33.Btcc3rs2.gif" alt=""></p><p><img src="/c/assets/36.DOX3ymYP.gif" alt=""></p><ul><li>计算机继续传播到了亚洲，亚洲（双字节）各个国家分别给出了自己国家对应的字符集编码，如： <ul><li>日本推出了 Shift-JIS 编码： <ul><li>单字节 ASCII 范围：0 - 127。</li><li>双字节范围： <ul><li>第一个字节：129 - 159 和 224 - 239 。</li><li>第二个字节：64 - 126 和 128 - 252 。</li></ul></li></ul></li><li>韩国推出了 EUC-KR 编码： <ul><li>单字节 ASCII 范围：0 - 127。</li><li>双字节范围：从 41281 - 65278。</li></ul></li><li>中国推出了 GBK 编码： <ul><li>单字节 ASCII 范围：0 - 127。</li><li>双字节范围：33088 - 65278 。</li></ul></li></ul></li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 通过上面日本、韩国、中国的编码十进制范围，我们可以看到，虽然这些编码系统在技术上的编码范围存在重叠（特别是在高位字节区域），但因为它们各自支持的字符集完全不同，所以实际上它们并不直接冲突。</li><li>② 但是，如果一个中国人通过 GBK 编码写的文章，通过邮件发送给韩国人，因为韩国和中国在字符集编码上的高位字节有重叠部分，必然会造成歧义。</li></ul></div><h3 id="_3-3-3-unicode-编码" tabindex="-1">3.3.3 Unicode 编码 <a class="header-anchor" href="#_3-3-3-unicode-编码" aria-label="Permalink to &quot;3.3.3 Unicode 编码&quot;"></a></h3><ul><li><p>在 Unicode 之前，世界上存在着数百种不同的编码系统，每一种编码系统都是为了支持特定语言或一组语言的字符集。这些编码系统，包括：ASCII、ISO 8859 系列、GBK、Shift-JIS、EUC-KR 等，它们各自有不同的字符范围和编码方式。这种多样性虽然在局部范围内解决了字符表示的问题，但也带来了以下几个方面的挑战：</p><ul><li><code>编码冲突</code>：由于不同的编码系统可以为相同的字节值分配不同的字符，因此在不同编码之间转换文本时，如果没有正确处理编码信息，就很容易产生乱码。这种编码冲突在尝试处理多种语言的文本时尤为突出。</li><li><code>编码的复杂性</code>：随着全球化的发展，软件和系统需要支持越来越多的语言，这就要求开发者和系统同时处理多种不同的编码系统。这不仅增加了开发和维护的复杂性，而且也增加了出错的风险。</li><li><code>资源限制</code>：在早期计算机技术中，内存和存储资源相对有限。不同的编码标准要求系统存储多套字符集数据，这无疑增加了对有限资源的消耗。</li><li>……</li></ul></li><li><p>针对上述的种种问题，为了推行全球化，Unicode 应运而生，Unicode 的核心规则和设计原则是建立一个全球统一的字符集，使得世界上所有的文字和符号都能被唯一地识别和使用，无论使用者位于何地或使用何种语言。这套规则包括了字符的编码、表示、处理和转换机制，旨在确保不同系统和软件间能够无缝交换和处理文本数据。</p><ul><li><code>通用字符集 (UCS)</code>：Unicode 为每一个字符分配一个唯一的编号（称为<code>“码点”</code>）。这些码点被组织在一个统一的字符集中，官方称之为 “通用字符集”（Universal Character Set，UCS）。码点通常表示为 <code>U+</code> 后跟一个十六进制数，例如：<code>U+0041</code> 代表大写的英文字母 <code>“A”</code>。</li><li><code>编码平面和区段</code>：Unicode 码点被划分为多个 “平面（Planes）”，每个平面包含 65536（16^4）个码点。目前，Unicode定义了 17 个平面（从 0 到16），每个平面被分配了一个编号，从 “基本多文种平面（BMP）” 的 0 开始，到 16 号平面结束。这意味着 Unicode 理论上可以支持超过 110万（17*65536）个码点。</li></ul></li><li><p>Unicode 仅仅只是字符集，给每个字符设置了唯一的数字编号而已，却没有给出这些数字编号实际如何存储，可以通过如下命令查看：</p></li></ul><p><img src="/c/assets/37.Cie9_tkP.gif" alt=""></p><ul><li>为了在计算机系统中表示 Unicode 字符，定义了几种编码方案，这些方案包括 UTF-8、UTF-16 和 UTF-32 等。 <ul><li><strong>UTF-8</strong>：使用 1 - 4 个字节表示每个 Unicode 字符，兼容 ASCII，是网络上最常用的编码。</li><li><strong>UTF-16</strong>：使用 2 - 4 个字节表示每个 Unicode 字符，适合于需要经常处理基本多文种平面之外字符的应用。</li><li><strong>UTF-32</strong>：使用固定的 4 个字节表示每个 Unicode 字符，简化了字符处理，但增加了存储空间的需求。</li></ul></li><li><code>Unicode 字符集</code>和对应的<code>UTF-8 字符编码</code>之间的关系，如下所示：</li></ul><p><img src="/c/assets/38.DLjH9Ges.png" alt=""></p></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-d4a0bba5><!--[--><!--]--><div class="edit-info" data-v-d4a0bba5><!----><div class="last-updated" data-v-d4a0bba5><p class="VPLastUpdated" data-v-d4a0bba5 data-v-7e05ebdb>上次更新: <time datetime="2024-07-23T01:24:54.000Z" data-v-7e05ebdb></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-d4a0bba5><span class="visually-hidden" id="doc-footer-aria-label" data-v-d4a0bba5>Pager</span><div class="pager" data-v-d4a0bba5><a class="VPLink link pager-link prev" href="/c/notes/01_c-basic/02_xdx/" data-v-d4a0bba5><!--[--><span class="desc" data-v-d4a0bba5>上一篇</span><span class="title" data-v-d4a0bba5>变量和进制</span><!--]--></a></div><div class="pager" data-v-d4a0bba5><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/04_xdx/" data-v-d4a0bba5><!--[--><span class="desc" data-v-d4a0bba5>下一篇</span><span class="title" data-v-d4a0bba5>流程控制</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
-    <script>window.__VP_HASH_MAP__=JSON.parse("{\"notes_index.md\":\"3bIiHjBr\",\"index.md\":\"uFk6fSzW\",\"notes_01_c-basic_02_xdx_index.md\":\"Cxyt4HEd\",\"notes_01_c-basic_04_xdx_index.md\":\"lfDB99hY\",\"notes_01_c-basic_01_xdx_index.md\":\"DA3nuW_4\",\"notes_01_c-basic_03_xdx_index.md\":\"Bc0D4KAS\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br></div></div><h2 id="_2-8-运算符优先级" tabindex="-1">2.8 运算符优先级 <a class="header-anchor" href="#_2-8-运算符优先级" aria-label="Permalink to &quot;2.8 运算符优先级&quot;"></a></h2><ul><li>C 语言中运算符的优先级，如下所示：</li></ul><table tabindex="0"><thead><tr><th><strong>优先级</strong></th><th><strong>运算符</strong></th><th><strong>名称或含义</strong></th><th><strong>结合方向</strong></th></tr></thead><tbody><tr><td><strong>1</strong></td><td><code>[]</code></td><td>数组下标</td><td>左到右</td></tr><tr><td></td><td><code>()</code></td><td>圆括号</td><td></td></tr><tr><td></td><td><code>.</code></td><td>成员选择（对象）</td><td></td></tr><tr><td></td><td><code>-&gt;</code></td><td>成员选择（指针）</td><td></td></tr><tr><td><strong>2</strong></td><td><code>-</code></td><td>负号运算符</td><td>右到左</td></tr><tr><td></td><td><code>（类型）</code></td><td>强制类型转换</td><td></td></tr><tr><td></td><td><code>++</code></td><td>自增运算符</td><td></td></tr><tr><td></td><td><code>--</code></td><td>自减运算符</td><td></td></tr><tr><td></td><td><code>*</code></td><td>取值运算符</td><td></td></tr><tr><td></td><td><code>&amp;</code></td><td>取地址运算符</td><td></td></tr><tr><td></td><td><code>!</code></td><td>逻辑非运算符</td><td></td></tr><tr><td></td><td><code>~</code></td><td>按位取反运算符</td><td></td></tr><tr><td></td><td><code>sizeof</code></td><td>长度运算符</td><td></td></tr><tr><td><strong>3</strong></td><td><code>/</code></td><td>除</td><td>左到右</td></tr><tr><td></td><td><code>*</code></td><td>乘</td><td></td></tr><tr><td></td><td><code>%</code></td><td>余数（取模）</td><td></td></tr><tr><td><strong>4</strong></td><td><code>+</code></td><td>加</td><td>左到右</td></tr><tr><td></td><td><code>-</code></td><td>减</td><td></td></tr><tr><td><strong>5</strong></td><td><code>&lt;&lt;</code></td><td>左移</td><td>左到右</td></tr><tr><td></td><td><code>&gt;&gt;</code></td><td>右移</td><td></td></tr><tr><td><strong>6</strong></td><td><code>&gt;</code></td><td>大于</td><td>左到右</td></tr><tr><td></td><td><code>&gt;=</code></td><td>大于等于</td><td></td></tr><tr><td></td><td><code>&lt;</code></td><td>小于</td><td></td></tr><tr><td></td><td><code>&lt;=</code></td><td>小于等于</td><td></td></tr><tr><td><strong>7</strong></td><td><code>==</code></td><td>等于</td><td>左到右</td></tr><tr><td></td><td><code>!=</code></td><td>不等于</td><td></td></tr><tr><td><strong>8</strong></td><td><code>&amp;</code></td><td>按位与</td><td>左到右</td></tr><tr><td><strong>9</strong></td><td><code>^</code></td><td>按位异或</td><td>左到右</td></tr><tr><td><strong>10</strong></td><td><code>|</code></td><td>按位或</td><td>左到右</td></tr><tr><td><strong>11</strong></td><td><code>&amp;&amp;</code></td><td>逻辑与</td><td>左到右</td></tr><tr><td><strong>12</strong></td><td><code>||</code></td><td>逻辑或</td><td>左到右</td></tr><tr><td><strong>13</strong></td><td><code>?:</code></td><td>条件运算符</td><td>右到左</td></tr><tr><td><strong>14</strong></td><td><code>=</code></td><td>赋值运算符</td><td>右到左</td></tr><tr><td></td><td><code>/=</code></td><td>除后赋值</td><td></td></tr><tr><td></td><td><code>*=</code></td><td>乘后赋值</td><td></td></tr><tr><td></td><td><code>%=</code></td><td>取模后赋值</td><td></td></tr><tr><td></td><td><code>+=</code></td><td>加后赋值</td><td></td></tr><tr><td></td><td><code>-=</code></td><td>减后赋值</td><td></td></tr><tr><td></td><td><code>&lt;&lt;=</code></td><td>左移后赋值</td><td></td></tr><tr><td></td><td><code>&gt;&gt;=</code></td><td>右移后赋值</td><td></td></tr><tr><td></td><td><code>&amp;=</code></td><td>按位与后赋值</td><td></td></tr><tr><td></td><td><code>^=</code></td><td>按位异或后赋值</td><td></td></tr><tr><td></td><td><code>|=</code></td><td>按位或后赋值</td><td></td></tr><tr><td><strong>15</strong></td><td><code>,</code></td><td>逗号运算符</td><td>左到右</td></tr></tbody></table><div class="warning custom-block github-alert"><p class="custom-block-title">WARNING</p><p></p><ul><li>① 不要过多的依赖运算符的优先级来控制表达式的执行顺序，这样可读性太差，尽量<code>使用小括号来控制</code>表达式的执行顺序。</li><li>② 不要把一个表达式写得过于复杂，如果一个表达式过于复杂，则把它<code>分成几步</code>来完成。</li><li>③ 运算符优先级不用刻意地去记忆，总体上：一元运算符 &gt; 算术运算符 &gt; 关系运算符 &gt; 逻辑运算符 &gt; 三元运算符 &gt; 赋值运算符。</li></ul></div><h1 id="第三章-附录" tabindex="-1">第三章：附录 <a class="header-anchor" href="#第三章-附录" aria-label="Permalink to &quot;第三章：附录&quot;"></a></h1><h2 id="_3-1-字符集和字符集编码" tabindex="-1">3.1 字符集和字符集编码 <a class="header-anchor" href="#_3-1-字符集和字符集编码" aria-label="Permalink to &quot;3.1 字符集和字符集编码&quot;"></a></h2><h3 id="_3-3-1-概述" tabindex="-1">3.3.1 概述 <a class="header-anchor" href="#_3-3-1-概述" aria-label="Permalink to &quot;3.3.1 概述&quot;"></a></h3><ul><li>字符集和字符集编码（简称编码）计算机系统中处理文本数据的两个基本概念，它们密切相关但又有区别。</li><li>字符集（Character Set）是一组字符的集合，其中每个字符都被分配了一个<code>唯一的编号</code>（通常是数字）。字符可以是字母、数字、符号、控制代码（如换行符）等。<code>字符集定义了可以表示的字符的范围</code>，但它并不直接定义如何将这些字符存储在计算机中。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>ASCII（美国信息交换标准代码）是最早期和最简单的字符集之一，它只包括了英文字母、数字和一些特殊字符，共 128 个字符。每个字符都分配给了一个从 0 到 127 的数字。</p></div><ul><li>字符集编码（Character Encoding，简称编码）是一种方案或方法，<code>它定义了如何将字符集中的字符转换为计算机存储和传输的数据（通常是一串二进制数字）</code>。简而言之，编码是字符到二进制数据之间的映射规则。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>ASCII编码方案定义了如何将 ASCII 字符集中的每个字符表示为 7 位的二进制数字。例如：大写字母<code>&quot;A&quot;</code>在ASCII 编码中表示为二进制的<code>1000001</code>，十进制的 <code>65</code> 。</p></div><ul><li><code>字符集</code>和<code>字符集编码</code>之间的关系如下：</li></ul><p><img src="/c/assets/29.CGTVELeO.png" alt=""></p><ul><li>Linux 中安装帮助手册：</li></ul><p><img src="/c/assets/30.Bz4_lEH0.gif" alt=""></p><h3 id="_3-3-2-ascii-编码" tabindex="-1">3.3.2 ASCII 编码 <a class="header-anchor" href="#_3-3-2-ascii-编码" aria-label="Permalink to &quot;3.3.2 ASCII 编码&quot;"></a></h3><ul><li>从<code>冯·诺依曼</code>体系结构中，我们知道，计算机中所有的<code>数据</code>和<code>指令</code>都是以<code>二进制</code>的形式表示的；所以，计算机中对于文本数据的数据也是以二进制来存储的，那么对应的流程如下：</li></ul><p><img src="/c/assets/31.CcDWE4nn.png" alt=""></p><ul><li>我们知道，计算机是上个世纪 60 年代在美国研制成功的，为了实现字符和二进制的转换，美国就制定了一套字符编码，即英语字符和二进制位之间的关系，即 ASCII （American Standard Code for Information Interchange）编码： <ul><li>ASCII 编码只包括了英文字符、数字和一些特殊字符，一共 128 个字符，并且每个字符都分配了唯一的数字，范围是 0 - 127。</li><li>ASCII 编码中的每个字符都使用 7 位的二进制数字表示；但是，计算机中的存储的最小单位是 1 B = 8 位，那么最高位统一规定为 0 。</li></ul></li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 其实，早期是没有字符集的概念的，只是后来为了解决乱码问题，而产生了字符集的概念。</li><li>② 对于英文体系来说，<code>a-zA-Z0-9</code>以及一些<code>特殊字符</code>一共 <code>128</code> 就可以满足实际存储需求；所以，在也是为什么 ASCII 码使用 7 位二进制（2^7 = 128 ）来存储的。</li></ul></div><ul><li>在操作系统中，就内置了对应的编码表，Linux 也不例外；可以使用如下的命令查看：</li></ul><div class="language-shell vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">shell</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">man</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> ascii</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><p><img src="/c/assets/32.B7y2_JVX.gif" alt=""></p><ul><li>其对应的 ASCII 编码表，如下所示：</li></ul><p><img src="/c/assets/33.Btcc3rs2.gif" alt=""></p><ul><li>但是，随着计算机的发展，计算机开始了东征之路，由美国传播到东方：</li></ul><p><img src="/c/assets/34.CR4ARW8y.png" alt=""></p><ul><li>先是传播到了欧洲，欧洲在兼容 ASCII 编码的基础上，推出了 ISO8859-1 编码，即： <ul><li>ISO8859-1 编码包括基本的拉丁字母表、数字、标点符号，以及西欧语言中特有的一些字符，如：法语中的 <code>è</code>、德语中的 <code>ü</code> 等。</li><li>ISO 8859-1 为每个字符分配一个单字节（8 位）编码，意味着它可以表示最多 256 （2^8）个不同的字符（编号从 0 到 255）。</li><li>ISO 8859-1 的前 128 个字符与 ASCII 编码完全一致，这使得 ASCII 编码的文本可以无缝转换为 ISO 8859-1 编码。</li></ul></li></ul><p><img src="/c/assets/33.Btcc3rs2.gif" alt=""></p><p><img src="/c/assets/36.DOX3ymYP.gif" alt=""></p><ul><li>计算机继续传播到了亚洲，亚洲（双字节）各个国家分别给出了自己国家对应的字符集编码，如： <ul><li>日本推出了 Shift-JIS 编码： <ul><li>单字节 ASCII 范围：0 - 127。</li><li>双字节范围： <ul><li>第一个字节：129 - 159 和 224 - 239 。</li><li>第二个字节：64 - 126 和 128 - 252 。</li></ul></li></ul></li><li>韩国推出了 EUC-KR 编码： <ul><li>单字节 ASCII 范围：0 - 127。</li><li>双字节范围：从 41281 - 65278。</li></ul></li><li>中国推出了 GBK 编码： <ul><li>单字节 ASCII 范围：0 - 127。</li><li>双字节范围：33088 - 65278 。</li></ul></li></ul></li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 通过上面日本、韩国、中国的编码十进制范围，我们可以看到，虽然这些编码系统在技术上的编码范围存在重叠（特别是在高位字节区域），但因为它们各自支持的字符集完全不同，所以实际上它们并不直接冲突。</li><li>② 但是，如果一个中国人通过 GBK 编码写的文章，通过邮件发送给韩国人，因为韩国和中国在字符集编码上的高位字节有重叠部分，必然会造成歧义。</li></ul></div><h3 id="_3-3-3-unicode-编码" tabindex="-1">3.3.3 Unicode 编码 <a class="header-anchor" href="#_3-3-3-unicode-编码" aria-label="Permalink to &quot;3.3.3 Unicode 编码&quot;"></a></h3><ul><li><p>在 Unicode 之前，世界上存在着数百种不同的编码系统，每一种编码系统都是为了支持特定语言或一组语言的字符集。这些编码系统，包括：ASCII、ISO 8859 系列、GBK、Shift-JIS、EUC-KR 等，它们各自有不同的字符范围和编码方式。这种多样性虽然在局部范围内解决了字符表示的问题，但也带来了以下几个方面的挑战：</p><ul><li><code>编码冲突</code>：由于不同的编码系统可以为相同的字节值分配不同的字符，因此在不同编码之间转换文本时，如果没有正确处理编码信息，就很容易产生乱码。这种编码冲突在尝试处理多种语言的文本时尤为突出。</li><li><code>编码的复杂性</code>：随着全球化的发展，软件和系统需要支持越来越多的语言，这就要求开发者和系统同时处理多种不同的编码系统。这不仅增加了开发和维护的复杂性，而且也增加了出错的风险。</li><li><code>资源限制</code>：在早期计算机技术中，内存和存储资源相对有限。不同的编码标准要求系统存储多套字符集数据，这无疑增加了对有限资源的消耗。</li><li>……</li></ul></li><li><p>针对上述的种种问题，为了推行全球化，Unicode 应运而生，Unicode 的核心规则和设计原则是建立一个全球统一的字符集，使得世界上所有的文字和符号都能被唯一地识别和使用，无论使用者位于何地或使用何种语言。这套规则包括了字符的编码、表示、处理和转换机制，旨在确保不同系统和软件间能够无缝交换和处理文本数据。</p><ul><li><code>通用字符集 (UCS)</code>：Unicode 为每一个字符分配一个唯一的编号（称为<code>“码点”</code>）。这些码点被组织在一个统一的字符集中，官方称之为 “通用字符集”（Universal Character Set，UCS）。码点通常表示为 <code>U+</code> 后跟一个十六进制数，例如：<code>U+0041</code> 代表大写的英文字母 <code>“A”</code>。</li><li><code>编码平面和区段</code>：Unicode 码点被划分为多个 “平面（Planes）”，每个平面包含 65536（16^4）个码点。目前，Unicode定义了 17 个平面（从 0 到16），每个平面被分配了一个编号，从 “基本多文种平面（BMP）” 的 0 开始，到 16 号平面结束。这意味着 Unicode 理论上可以支持超过 110万（17*65536）个码点。</li></ul></li><li><p>Unicode 仅仅只是字符集，给每个字符设置了唯一的数字编号而已，却没有给出这些数字编号实际如何存储，可以通过如下命令查看：</p></li></ul><p><img src="/c/assets/37.Cie9_tkP.gif" alt=""></p><ul><li>为了在计算机系统中表示 Unicode 字符，定义了几种编码方案，这些方案包括 UTF-8、UTF-16 和 UTF-32 等。 <ul><li><strong>UTF-8</strong>：使用 1 - 4 个字节表示每个 Unicode 字符，兼容 ASCII，是网络上最常用的编码。</li><li><strong>UTF-16</strong>：使用 2 - 4 个字节表示每个 Unicode 字符，适合于需要经常处理基本多文种平面之外字符的应用。</li><li><strong>UTF-32</strong>：使用固定的 4 个字节表示每个 Unicode 字符，简化了字符处理，但增加了存储空间的需求。</li></ul></li><li><code>Unicode 字符集</code>和对应的<code>UTF-8 字符编码</code>之间的关系，如下所示：</li></ul><p><img src="/c/assets/38.DLjH9Ges.png" alt=""></p></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-e257564d><!--[--><!--]--><div class="edit-info" data-v-e257564d><!----><div class="last-updated" data-v-e257564d><p class="VPLastUpdated" data-v-e257564d data-v-e98dd255>上次更新: <time datetime="2024-07-23T01:24:54.000Z" data-v-e98dd255></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-e257564d><span class="visually-hidden" id="doc-footer-aria-label" data-v-e257564d>Pager</span><div class="pager" data-v-e257564d><a class="VPLink link pager-link prev" href="/c/notes/01_c-basic/02_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>上一篇</span><span class="title" data-v-e257564d>变量和进制</span><!--]--></a></div><div class="pager" data-v-e257564d><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/04_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>下一篇</span><span class="title" data-v-e257564d>流程控制</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
+    <script>window.__VP_HASH_MAP__=JSON.parse("{\"index.md\":\"D0m5RaG6\",\"notes_01_c-basic_01_xdx_index.md\":\"7lTzv-1j\",\"notes_01_c-basic_02_xdx_index.md\":\"36L8tSmA\",\"notes_01_c-basic_03_xdx_index.md\":\"BUQ_uNMg\",\"notes_01_c-basic_04_xdx_index.md\":\"CwyFE3Gl\",\"notes_01_c-basic_05_xdx_index.md\":\"aZr9FRYL\",\"notes_index.md\":\"qg0s9W8s\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
    
  </body>
 </html>
--- a/notes/01_c-basic/04_xdx/index.html
+++ b/notes/01_c-basic/04_xdx/index.html
@ -5,14 +5,14 @@
    
    <title>第一章：概述 | Hi，终于等到你</title>
    <meta name="description" content="许大仙前端、Java、大数据、云原生">
-    <meta name="generator" content="VitePress v1.2.3">
-    <link rel="preload stylesheet" href="/c/assets/style.bTUc_nQv.css" as="style">
+    <meta name="generator" content="VitePress v1.3.1">
+    <link rel="preload stylesheet" href="/c/assets/style.DF3ihcHP.css" as="style">
    
-    <script type="module" src="/c/assets/app.B-gMyJXN.js"></script>
+    <script type="module" src="/c/assets/app.tyefp9BV.js"></script>
    <link rel="preload" href="/c/assets/inter-roman-latin.Di8DUHzh.woff2" as="font" type="font/woff2" crossorigin="">
-    <link rel="modulepreload" href="/c/assets/chunks/framework.BE8if9e6.js">
-    <link rel="modulepreload" href="/c/assets/chunks/theme.CJXJMEf1.js">
-    <link rel="modulepreload" href="/c/assets/notes_01_c-basic_04_xdx_index.md.lfDB99hY.lean.js">
+    <link rel="modulepreload" href="/c/assets/chunks/framework.CZKtKhAm.js">
+    <link rel="modulepreload" href="/c/assets/chunks/theme.DpGvkbEa.js">
+    <link rel="modulepreload" href="/c/assets/notes_01_c-basic_04_xdx_index.md.CwyFE3Gl.lean.js">
    <link rel="shortcut icon" href="/c//logo.svg">
    <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1.0, maximum-scale=1.0, user-scalable=no,shrink-to-fit=no">
    <meta name="keywords" content="许大仙,许大仙的博客">
@ -20,7 +20,7 @@
    <script id="check-mac-os">document.documentElement.classList.toggle("mac",/Mac|iPhone|iPod|iPad/i.test(navigator.platform));</script>
  </head>
  <body>
-    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-ccf7ddec><div class="wrapper" data-v-ccf7ddec><div class="container" data-v-ccf7ddec><div class="title" data-v-ccf7ddec><div class="VPNavBarTitle has-sidebar" data-v-ccf7ddec data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-ccf7ddec><div class="content-body" data-v-ccf7ddec><!--[--><!--]--><div class="VPNavBarSearch search" data-v-ccf7ddec><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-ccf7ddec data-v-7f418b0f><span id="main-nav-aria-label" class="visually-hidden" data-v-7f418b0f>Main Navigation</span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-ccf7ddec data-v-e6aabb21><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-e6aabb21 data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-ccf7ddec data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-ccf7ddec data-v-d0bd9dde data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-e7ea1737><!----><!--[--><!--[--><!----><div class="group" data-v-d0bd9dde><div class="item appearance" data-v-d0bd9dde><p class="label" data-v-d0bd9dde>Appearance</p><div class="appearance-action" data-v-d0bd9dde><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-d0bd9dde data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div></div></div><div class="group" data-v-d0bd9dde><div class="item social-links" data-v-d0bd9dde><div class="VPSocialLinks social-links-list" data-v-d0bd9dde data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-ccf7ddec data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-ccf7ddec><div class="divider-line" data-v-ccf7ddec></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-575e6a36><div class="curtain" data-v-575e6a36></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-575e6a36><span class="visually-hidden" id="sidebar-aria-label" data-v-575e6a36> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="group" data-v-575e6a36><section class="VPSidebarItem level-0 collapsible has-active" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><h2 class="text" data-v-b8d55f3b>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b8d55f3b><span class="vpi-chevron-right caret-icon" data-v-b8d55f3b></span></div></div><div class="items" data-v-b8d55f3b><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C 语言高级</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 核心编程</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 标准库</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>QT 桌面开发</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_01_c-basic_04_xdx_" data-v-39a288b8><div><h1 id="第一章-概述" tabindex="-1">第一章：概述 <a class="header-anchor" href="#第一章-概述" aria-label="Permalink to &quot;第一章：概述&quot;"></a></h1><ul><li><p><code>流程控制结构</code>是用来控制程序中<code>各语句执行顺序</code>的语句，并且可以将语句组合成能<code>完成一定功能</code>的<code>小逻辑模块</code>。</p></li><li><p>在程序设计中规定了<code>三种</code>流程结构，如下所示：</p><ul><li><code>顺序结构</code>：程序从上到下逐行执行，中间没有任何判断和跳转。</li><li><code>分支结构</code>：根据条件，有选择的执行某段代码。在 C 语言中，有 <code>if...else</code> 和 <code>switch...case</code> 两种分支语句。</li><li><code>循环结构</code>：根据循环条件，重复性的执行某段代码。在 C 语言中，有 <code>for</code>、<code>while</code>、<code>do...while</code> 三种循环结构。</li></ul></li><li><p>在生活中的<code>洗衣工厂</code>，就包含了上述的三种流程结构，如下所示：</p></li></ul><p><img src="/c/assets/1.CTMA-Poz.jpg" alt=""></p><h1 id="第二章-顺序结构" tabindex="-1">第二章：顺序结构 <a class="header-anchor" href="#第二章-顺序结构" aria-label="Permalink to &quot;第二章：顺序结构&quot;"></a></h1><h2 id="_2-1-概述" tabindex="-1">2.1 概述 <a class="header-anchor" href="#_2-1-概述" aria-label="Permalink to &quot;2.1 概述&quot;"></a></h2><ul><li>程序从上到下逐行地执行，表达式语句都是顺序执行的，并且上一行对某个变量的修改对下一行会产生影响。</li></ul><p><img src="/c/assets/2.B2g4y1OY.png" alt=""></p><h2 id="_2-2-应用示例" tabindex="-1">2.2 应用示例 <a class="header-anchor" href="#_2-2-应用示例" aria-label="Permalink to &quot;2.2 应用示例&quot;"></a></h2><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-6aa21345><div class="wrapper" data-v-6aa21345><div class="container" data-v-6aa21345><div class="title" data-v-6aa21345><div class="VPNavBarTitle has-sidebar" data-v-6aa21345 data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-6aa21345><div class="content-body" data-v-6aa21345><!--[--><!--]--><div class="VPNavBarSearch search" data-v-6aa21345><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-6aa21345 data-v-dc692963><span id="main-nav-aria-label" class="visually-hidden" data-v-dc692963> Main Navigation </span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-6aa21345 data-v-6c893767><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-6c893767 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-6aa21345 data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-6aa21345 data-v-bb2aa2f0 data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-b98bc113><!----><!--[--><!--[--><!----><div class="group" data-v-bb2aa2f0><div class="item appearance" data-v-bb2aa2f0><p class="label" data-v-bb2aa2f0>Appearance</p><div class="appearance-action" data-v-bb2aa2f0><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-bb2aa2f0 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div></div></div><div class="group" data-v-bb2aa2f0><div class="item social-links" data-v-bb2aa2f0><div class="VPSocialLinks social-links-list" data-v-bb2aa2f0 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-6aa21345 data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-6aa21345><div class="divider-line" data-v-6aa21345></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-319d5ca6><div class="curtain" data-v-319d5ca6></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-319d5ca6><span class="visually-hidden" id="sidebar-aria-label" data-v-319d5ca6> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-c40bc020><section class="VPSidebarItem level-0 collapsible has-active" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><h2 class="text" data-v-b7550ba0>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b7550ba0><span class="vpi-chevron-right caret-icon" data-v-b7550ba0></span></div></div><div class="items" data-v-b7550ba0><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C 语言高级</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 核心编程</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 标准库</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>QT 桌面开发</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_01_c-basic_04_xdx_" data-v-39a288b8><div><h1 id="第一章-概述" tabindex="-1">第一章：概述 <a class="header-anchor" href="#第一章-概述" aria-label="Permalink to &quot;第一章：概述&quot;"></a></h1><ul><li><p><code>流程控制结构</code>是用来控制程序中<code>各语句执行顺序</code>的语句，并且可以将语句组合成能<code>完成一定功能</code>的<code>小逻辑模块</code>。</p></li><li><p>在程序设计中规定了<code>三种</code>流程结构，如下所示：</p><ul><li><code>顺序结构</code>：程序从上到下逐行执行，中间没有任何判断和跳转。</li><li><code>分支结构</code>：根据条件，有选择的执行某段代码。在 C 语言中，有 <code>if...else</code> 和 <code>switch...case</code> 两种分支语句。</li><li><code>循环结构</code>：根据循环条件，重复性的执行某段代码。在 C 语言中，有 <code>for</code>、<code>while</code>、<code>do...while</code> 三种循环结构。</li></ul></li><li><p>在生活中的<code>洗衣工厂</code>，就包含了上述的三种流程结构，如下所示：</p></li></ul><p><img src="/c/assets/1.CTMA-Poz.jpg" alt=""></p><h1 id="第二章-顺序结构" tabindex="-1">第二章：顺序结构 <a class="header-anchor" href="#第二章-顺序结构" aria-label="Permalink to &quot;第二章：顺序结构&quot;"></a></h1><h2 id="_2-1-概述" tabindex="-1">2.1 概述 <a class="header-anchor" href="#_2-1-概述" aria-label="Permalink to &quot;2.1 概述&quot;"></a></h2><ul><li>程序从上到下逐行地执行，表达式语句都是顺序执行的，并且上一行对某个变量的修改对下一行会产生影响。</li></ul><p><img src="/c/assets/2.B2g4y1OY.png" alt=""></p><h2 id="_2-2-应用示例" tabindex="-1">2.2 应用示例 <a class="header-anchor" href="#_2-2-应用示例" aria-label="Permalink to &quot;2.2 应用示例&quot;"></a></h2><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
 <span class="line"></span>
@ -716,8 +716,8 @@
 <span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;程序结束！</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
 <span class="line"></span>
 <span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
-<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br></div></div></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-d4a0bba5><!--[--><!--]--><div class="edit-info" data-v-d4a0bba5><!----><div class="last-updated" data-v-d4a0bba5><p class="VPLastUpdated" data-v-d4a0bba5 data-v-7e05ebdb>上次更新: <time datetime="2024-07-23T02:31:31.000Z" data-v-7e05ebdb></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-d4a0bba5><span class="visually-hidden" id="doc-footer-aria-label" data-v-d4a0bba5>Pager</span><div class="pager" data-v-d4a0bba5><a class="VPLink link pager-link prev" href="/c/notes/01_c-basic/03_xdx/" data-v-d4a0bba5><!--[--><span class="desc" data-v-d4a0bba5>上一篇</span><span class="title" data-v-d4a0bba5>数据类型和运算符</span><!--]--></a></div><div class="pager" data-v-d4a0bba5><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/05_xdx/" data-v-d4a0bba5><!--[--><span class="desc" data-v-d4a0bba5>下一篇</span><span class="title" data-v-d4a0bba5>数组</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
-    <script>window.__VP_HASH_MAP__=JSON.parse("{\"notes_index.md\":\"3bIiHjBr\",\"index.md\":\"uFk6fSzW\",\"notes_01_c-basic_02_xdx_index.md\":\"Cxyt4HEd\",\"notes_01_c-basic_04_xdx_index.md\":\"lfDB99hY\",\"notes_01_c-basic_01_xdx_index.md\":\"DA3nuW_4\",\"notes_01_c-basic_03_xdx_index.md\":\"Bc0D4KAS\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br></div></div></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-e257564d><!--[--><!--]--><div class="edit-info" data-v-e257564d><!----><div class="last-updated" data-v-e257564d><p class="VPLastUpdated" data-v-e257564d data-v-e98dd255>上次更新: <time datetime="2024-07-23T02:31:31.000Z" data-v-e98dd255></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-e257564d><span class="visually-hidden" id="doc-footer-aria-label" data-v-e257564d>Pager</span><div class="pager" data-v-e257564d><a class="VPLink link pager-link prev" href="/c/notes/01_c-basic/03_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>上一篇</span><span class="title" data-v-e257564d>数据类型和运算符</span><!--]--></a></div><div class="pager" data-v-e257564d><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/05_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>下一篇</span><span class="title" data-v-e257564d>数组</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
+    <script>window.__VP_HASH_MAP__=JSON.parse("{\"index.md\":\"D0m5RaG6\",\"notes_01_c-basic_01_xdx_index.md\":\"7lTzv-1j\",\"notes_01_c-basic_02_xdx_index.md\":\"36L8tSmA\",\"notes_01_c-basic_03_xdx_index.md\":\"BUQ_uNMg\",\"notes_01_c-basic_04_xdx_index.md\":\"CwyFE3Gl\",\"notes_01_c-basic_05_xdx_index.md\":\"aZr9FRYL\",\"notes_index.md\":\"qg0s9W8s\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
    
  </body>
 </html>
--- a/notes/01_c-basic/05_xdx/index.html
+++ b/notes/01_c-basic/05_xdx/index.html
@ -0,0 +1,634 @@
+<!DOCTYPE html>
+<html lang="zh-CN" dir="ltr">
+  <head>
+    <meta charset="utf-8">
+    
+    <title>第一章：数组的概念 | Hi，终于等到你</title>
+    <meta name="description" content="许大仙前端、Java、大数据、云原生">
+    <meta name="generator" content="VitePress v1.3.1">
+    <link rel="preload stylesheet" href="/c/assets/style.DF3ihcHP.css" as="style">
+    
+    <script type="module" src="/c/assets/app.tyefp9BV.js"></script>
+    <link rel="preload" href="/c/assets/inter-roman-latin.Di8DUHzh.woff2" as="font" type="font/woff2" crossorigin="">
+    <link rel="modulepreload" href="/c/assets/chunks/framework.CZKtKhAm.js">
+    <link rel="modulepreload" href="/c/assets/chunks/theme.DpGvkbEa.js">
+    <link rel="modulepreload" href="/c/assets/notes_01_c-basic_05_xdx_index.md.aZr9FRYL.lean.js">
+    <link rel="shortcut icon" href="/c//logo.svg">
+    <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1.0, maximum-scale=1.0, user-scalable=no,shrink-to-fit=no">
+    <meta name="keywords" content="许大仙,许大仙的博客">
+    <script id="check-dark-mode">(()=>{const e=localStorage.getItem("vitepress-theme-appearance")||"auto",a=window.matchMedia("(prefers-color-scheme: dark)").matches;(!e||e==="auto"?a:e==="dark")&&document.documentElement.classList.add("dark")})();</script>
+    <script id="check-mac-os">document.documentElement.classList.toggle("mac",/Mac|iPhone|iPod|iPad/i.test(navigator.platform));</script>
+  </head>
+  <body>
+    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-6aa21345><div class="wrapper" data-v-6aa21345><div class="container" data-v-6aa21345><div class="title" data-v-6aa21345><div class="VPNavBarTitle has-sidebar" data-v-6aa21345 data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-6aa21345><div class="content-body" data-v-6aa21345><!--[--><!--]--><div class="VPNavBarSearch search" data-v-6aa21345><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-6aa21345 data-v-dc692963><span id="main-nav-aria-label" class="visually-hidden" data-v-dc692963> Main Navigation </span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink" href="/c/notes/" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-6aa21345 data-v-6c893767><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-6c893767 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-6aa21345 data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-6aa21345 data-v-bb2aa2f0 data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-b98bc113><!----><!--[--><!--[--><!----><div class="group" data-v-bb2aa2f0><div class="item appearance" data-v-bb2aa2f0><p class="label" data-v-bb2aa2f0>Appearance</p><div class="appearance-action" data-v-bb2aa2f0><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-bb2aa2f0 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div></div></div><div class="group" data-v-bb2aa2f0><div class="item social-links" data-v-bb2aa2f0><div class="VPSocialLinks social-links-list" data-v-bb2aa2f0 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-6aa21345 data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-6aa21345><div class="divider-line" data-v-6aa21345></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-319d5ca6><div class="curtain" data-v-319d5ca6></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-319d5ca6><span class="visually-hidden" id="sidebar-aria-label" data-v-319d5ca6> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-c40bc020><section class="VPSidebarItem level-0 collapsible has-active" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><h2 class="text" data-v-b7550ba0>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b7550ba0><span class="vpi-chevron-right caret-icon" data-v-b7550ba0></span></div></div><div class="items" data-v-b7550ba0><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C 语言高级</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 核心编程</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 标准库</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>QT 桌面开发</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_01_c-basic_05_xdx_" data-v-39a288b8><div><h1 id="第一章-数组的概念" tabindex="-1">第一章：数组的概念 <a class="header-anchor" href="#第一章-数组的概念" aria-label="Permalink to &quot;第一章：数组的概念&quot;"></a></h1><h2 id="_1-1-为什么需要数组" tabindex="-1">1.1 为什么需要数组？ <a class="header-anchor" href="#_1-1-为什么需要数组" aria-label="Permalink to &quot;1.1 为什么需要数组？&quot;"></a></h2><h3 id="_1-1-1-需求分析-1" tabindex="-1">1.1.1 需求分析 1 <a class="header-anchor" href="#_1-1-1-需求分析-1" aria-label="Permalink to &quot;1.1.1 需求分析 1&quot;"></a></h3><ul><li>需要统计某公司 50 个员工的工资情况，例如：计算平均工资、最高工资等。如果使用之前的知识，我们需要声明 50 个变量来分别记录每位员工的工资，即：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(){</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    </span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num1 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num2 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num3 </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    ...</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第 1 个员工的工资：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num1);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第 2 个员工的工资：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num2);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第 3 个员工的工资：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num3);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    ...   </span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br></div></div><ul><li>这样会感觉特别机械和麻烦（全是复制（Ctrl + c）和粘贴（Ctrl + v），CV 大法）；此时，我们就可以将所有的<code>数据</code>全部存储到一个<code>容器（数组）</code>中进行统一管理，并进行其它的操作，如：求最值、求平均值等，如下所示：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(){</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 声明数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> nums</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">50</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(nums) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 使用 for 循环向数组中添加值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length;i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">){</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第 &amp;d 个员工的工资：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,i);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">num</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 其它操作，如：求最值，求平均值等</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    ...        </span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br></div></div><h3 id="_1-1-2-需求分析-2" tabindex="-1">1.1.2 需求分析 2 <a class="header-anchor" href="#_1-1-2-需求分析-2" aria-label="Permalink to &quot;1.1.2 需求分析 2&quot;"></a></h3><ul><li>在现实生活中，我们会使用很多 APP 或微信小程序等，即：</li></ul><p><img src="/c/assets/1.CvTjP5jN.png" alt=""></p><ul><li>同样的道理，如果我们使用变量来存储每个商品信息，那么就需要非常多的变量；但是，如果我们将这些<code>商品信息</code>都存储到一个<code>容器（数组）</code>中，进行统一管理，对之后的数据处理将会非常方便。</li></ul><h3 id="_1-1-3-容器的概念" tabindex="-1">1.1.3 容器的概念 <a class="header-anchor" href="#_1-1-3-容器的概念" aria-label="Permalink to &quot;1.1.3 容器的概念&quot;"></a></h3><ul><li><code>生活中的容器</code>：水杯（装水、饮料的容器）、衣柜（装衣服等物品的容器）、集装箱（装货物等物品的容器）。</li><li><code>程序中的容器</code>：将多个数据存储到一起，并且每个数据称为该容器中的元素。</li></ul><h2 id="_1-2-什么是数组" tabindex="-1">1.2 什么是数组？ <a class="header-anchor" href="#_1-2-什么是数组" aria-label="Permalink to &quot;1.2 什么是数组？&quot;"></a></h2><ul><li>数组（Array）是将多个<code>相同数据类型</code>的<code>数据</code>按照一定的顺序排序的<code>集合</code>，并使用一个<code>标识符</code>命名，以及通过<code>编号（索引，亦称为下标）</code>的方式对这些数据进行统一管理。</li></ul><p><img src="/c/assets/2.BR4TvWzU.png" alt=""></p><h2 id="_1-3-数组的相关概念" tabindex="-1">1.3 数组的相关概念 <a class="header-anchor" href="#_1-3-数组的相关概念" aria-label="Permalink to &quot;1.3 数组的相关概念&quot;"></a></h2><ul><li><code>数组名</code>：本质上是一个标识符常量，命名需要符合标识符规则和规范。</li><li><code>元素</code>：同一个数组中的元素必须是相同的数据类型。</li><li><code>索引（下标）</code>：从 0 开始的连续数字。</li><li><code>数组的长度</code>：就是元素的个数。</li></ul><h2 id="_1-4-数组的特点" tabindex="-1">1.4 数组的特点 <a class="header-anchor" href="#_1-4-数组的特点" aria-label="Permalink to &quot;1.4 数组的特点&quot;"></a></h2><ul><li>① 创建数组的时候，会在内存中开辟一整块<code>连续的空间</code>，占据空间的大小，取决于数组的长度和数组中元素的类型。</li><li>② 数组中的元素在内存中是依次紧密排列且有序的。</li><li>③ 数组一旦初始化完成，且长度就确定的，并且<code>数组的长度一旦确定，就不能更改</code>。</li><li>④ 我们可以直接通过索引（下标）来获取指定位置的元素，速度很快。</li><li>⑤ 数组名中引用的是这块连续空间的首地址。</li></ul><h1 id="第二章-数组的操作-⭐" tabindex="-1">第二章：数组的操作（⭐） <a class="header-anchor" href="#第二章-数组的操作-⭐" aria-label="Permalink to &quot;第二章：数组的操作（⭐）&quot;"></a></h1><h2 id="_2-1-数组的定义" tabindex="-1">2.1 数组的定义 <a class="header-anchor" href="#_2-1-数组的定义" aria-label="Permalink to &quot;2.1 数组的定义&quot;"></a></h2><h3 id="_2-1-1-动态初始化" tabindex="-1">2.1.1 动态初始化 <a class="header-anchor" href="#_2-1-1-动态初始化" aria-label="Permalink to &quot;2.1.1 动态初始化&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[元素个数</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">长度];</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 数据类型：表示的是数组中每一个元素的数据类型。</li><li>② 数组名：必须符合标识符规则和规范。</li><li>③ 元素个数或长度：表示的是数组中最多可以容纳多少个元素（不能是负数、也不能是 0 ）。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 先指定元素的个数和类型，再进行初始化</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 给数组元素赋值</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 20</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 30</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br></div></div><h3 id="_2-1-2-静态初始化-1" tabindex="-1">2.1.2 静态初始化 1 <a class="header-anchor" href="#_2-1-2-静态初始化-1" aria-label="Permalink to &quot;2.1.2 静态初始化 1&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[元素个数</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">长度] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {元素1,元素2,...}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 静态部分初始化：如果数组初始化的元素个数<code>小于</code>数组声明的长度，那么就会从数组开始位置依次赋值，不够的就补 0 。</li><li>② 静态全部初始化：数组初始化的元素个数<code>等于</code>数组的长度。</li></ul></div><ul><li><p>技巧：</p><ul><li>在 CLion 中可以开启<code>聚合初始化</code>功能，即：</li></ul><p><img src="/c/assets/3.hr3pCY5b.png" alt=""></p><ul><li>这样，在 CLion 中，将会显示数组初始化中的元素索引，即：</li></ul><p><img src="/c/assets/4.CgvWfxq4.png" alt=""></p></li><li><p>示例：静态部分初识化</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和部分初始化：</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 会将给定的值从数组的开始位置一个个的赋值，没有赋值的地方，用 0 填充</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br></div></div><ul><li>示例：静态全部初始化</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和全部初始化：数组初始化的元素个数等于数组的长度。</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br></div></div><h3 id="_2-1-3-静态初始化-2" tabindex="-1">2.1.3 静态初始化 2 <a class="header-anchor" href="#_2-1-3-静态初始化-2" aria-label="Permalink to &quot;2.1.3 静态初始化 2&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {元素1,元素2,...}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>没有给出数组中元素的个数，将由系统根据初始化的元素，自动推断出数组中元素的个数。</p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 指定元素的类型，不指定元素个数，同时进行初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br></div></div><h2 id="_2-2-访问数组元素" tabindex="-1">2.2 访问数组元素 <a class="header-anchor" href="#_2-2-访问数组元素" aria-label="Permalink to &quot;2.2 访问数组元素&quot;"></a></h2><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数组名[索引</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">|</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">下标];</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>假设数组 <code>arr</code> 有 n 个元素，如果使用的数组的下标 <code>&lt; 0</code> 或 <code>&gt; n-1</code> ，那么将会产生数组越界访问，即超出了数组合法空间的访问；那么，数组的索引范围是 <code>[0,arr.length - 1]</code>。</p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 先指定元素的个数和类型，再进行初始化</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 给数组元素赋值</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 20</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">    arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 30</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 10</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 20</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 30</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br></div></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和部分初始化：</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 会将给定的值从数组的开始位置一个个的赋值，没有赋值的地方，用 0 填充</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 1</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 2</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 0</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[3] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[3] = 0</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[4] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[4] = 0</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br></div></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 指定元素的类型，不指定元素个数，同时进行初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 1</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 2</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 3</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[3] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[3] = 4</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[4] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[4] = 5</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br></div></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和全部初始化：数组初始化的元素个数等于数组的长度。</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 1</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 2</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 3</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[3] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[3] = 4</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[4] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[4] = 5</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br></div></div><h2 id="_2-3-数组越界" tabindex="-1">2.3 数组越界 <a class="header-anchor" href="#_2-3-数组越界" aria-label="Permalink to &quot;2.3 数组越界&quot;"></a></h2><ul><li>数组下标必须在指定范围内使用，超出范围视为越界。</li></ul><p><img src="/c/assets/5.DSekQATc.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① C 语言是不会做数组下标越界的检查，并且编译器也不会报错；但是，编译器不报错，并不意味着程序就是正确！</li><li>② 在其它高级编程语言，如：Java、JavaScript、Rust 等中，如果数组越界访问，编译器是会直接报错的！！！</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和全部初始化：数组初始化的元素个数等于数组的长度。</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 访问数组元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[0] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[0] = 1</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[1] = 2</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[2] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[2] = 3</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[3] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[3] = 4</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[4] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // arr[4] = 5</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[-1] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 得到的是不确定的结果</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;arr[5] = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 得到的是不确定的结果</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br></div></div><h2 id="_2-4-计算数组的长度" tabindex="-1">2.4 计算数组的长度 <a class="header-anchor" href="#_2-4-计算数组的长度" aria-label="Permalink to &quot;2.4 计算数组的长度&quot;"></a></h2><ul><li>数组长度（元素个数）是在数组定义的时候明确指定且固定的，我们不能在运行的时候直接获取数组长度；但是，我们可以通过 sizeof 运算符间接计算出数组的长度。</li><li>计算步骤，如下所示： <ul><li>① 使用 sizeof 运算符计算出整个数组的字节长度。</li><li>② 由于数组成员是同一数据类型；那么，每个元素的字节长度一定相等，那么<code>数组的长度 = 整个数组的字节长度 ÷ 单个元素的字节长度 </code>。</li></ul></li></ul><p><img src="/c/assets/6.DjtEKfCa.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 在很多编程语言中，都内置了获取数组的长度的属性或方法，如：Java 中的 arr.length 或 Rust 的 arr.len()。</li><li>② 但是，C 语言没有内置的获取数组长度的属性或方法，只能通过 sizeof 运算符间接来计算得到。</li><li>③ 数组一旦<code>声明</code>或<code>定义</code>，其<code>长度</code>就<code>固定</code>了，<code>不能动态变化</code>。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组和全部初始化：数组初始化的元素个数等于数组的长度。</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br></div></div><h2 id="_2-5-遍历数组" tabindex="-1">2.5 遍历数组 <a class="header-anchor" href="#_2-5-遍历数组" aria-label="Permalink to &quot;2.5 遍历数组&quot;"></a></h2><ul><li><p>遍历数组是指按顺序访问数组中的每个元素，以便读取或修改它们，编程中一般使用循环结构对数组进行遍历。</p></li><li><p>示例：声明一个存储有 12、2、31、24、15、36、67、108、29、51 的数组，并遍历数组所有元素</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br></div></div><ul><li>示例：声明长度为 10 的 int 类型数组，给数组元素依次赋值为 0 ~ 9 ，并遍历数组所有元素</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 给数组的每个元素赋值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br></div></div><h2 id="_2-6-一维数组的内存分析" tabindex="-1">2.6 一维数组的内存分析 <a class="header-anchor" href="#_2-6-一维数组的内存分析" aria-label="Permalink to &quot;2.6 一维数组的内存分析&quot;"></a></h2><h3 id="_2-6-1-数组内存图" tabindex="-1">2.6.1 数组内存图 <a class="header-anchor" href="#_2-6-1-数组内存图" aria-label="Permalink to &quot;2.6.1 数组内存图&quot;"></a></h3><ul><li>假设数组是如下的定义：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>那么，对应的内存结构，如下所示：</li></ul><p><img src="/c/assets/7.BTWPdsCm.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 数组名 <code>arr</code> 就是记录该数组的首地址，即 <code>arr[0]</code> 的地址。</li><li>② 数组中的各个元素是连续分布的，假设 <code>arr[0]</code> 的地址是 <code>0xdea7bff880</code>，则 <code>arr[1] 的地址 = arr[0] 的地址 + int 字节数（4） = 0xdea7bff880 + 4 = 0xdea7bff884</code> ，依次类推...</li></ul></div><ul><li>在 C 语言中，我们可以通过 <code>&amp;arr</code> 或 <code>&amp;arr[0]</code> 等形式获取数组或数组元素的地址，即：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 给数组的每个元素赋值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的地址是 = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%p\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, arr);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组元素 </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 的地址是 = </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%p\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i], </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br></div></div><h3 id="_2-6-2-数组的注意事项" tabindex="-1">2.6.2 数组的注意事项 <a class="header-anchor" href="#_2-6-2-数组的注意事项" aria-label="Permalink to &quot;2.6.2 数组的注意事项&quot;"></a></h3><ul><li><code>C 语言规定，数组一旦声明，数组名指向的地址将不可更改</code>。因为在声明数组的时候，编译器会自动会数组分配内存地址，这个地址和数组名是绑定的，不可更改。</li></ul><div class="warning custom-block github-alert"><p class="custom-block-title">WARNING</p><p></p><p>如果之后试图更改数组名对应的地址，编译器就会报错。</p></div><ul><li>示例：错误演示</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> num</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 声明数组</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">// 使用大括号重新赋值是不允许的，必须在数组声明的时候赋值，否则编译将会报错</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">} ;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 报错</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><ul><li>示例：错误演示</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">// 使用大括号重新赋值是不允许的，必须在数组声明的时候赋值，否则编译将会报错</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 报错</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><ul><li>示例：错误演示</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> num</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> NULL</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 报错，需要和 Java 区别一下，在 C 中不可以</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><ul><li>示例：错误演示</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">,</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">} </span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> b</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a ;</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 报错，需要和 Java 区别一下，在 C 中不可以</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br></div></div><h2 id="_2-7-数组应用案例" tabindex="-1">2.7 数组应用案例 <a class="header-anchor" href="#_2-7-数组应用案例" aria-label="Permalink to &quot;2.7 数组应用案例&quot;"></a></h2><h3 id="_2-7-1-应用示例" tabindex="-1">2.7.1 应用示例 <a class="header-anchor" href="#_2-7-1-应用示例" aria-label="Permalink to &quot;2.7.1 应用示例&quot;"></a></h3><ul><li><p>需求：计算数组中所有元素的和以及平均数。</p></li><li><p>示例：</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 变量保存总和</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> avg </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">)sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length;</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的和为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, sum);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 数组的和为：375</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的平均值为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, avg);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> //数组的平均值为：37.50</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br></div></div><h3 id="_2-7-2-应用示例" tabindex="-1">2.7.2 应用示例 <a class="header-anchor" href="#_2-7-2-应用示例" aria-label="Permalink to &quot;2.7.2 应用示例&quot;"></a></h3><ul><li>需求：计算数组的最值（最大值和最小值）。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>思路：</p><ul><li>① 假设数组中的第一个元素是最大值或最小值，并使用变量 max 或 min 保存。</li><li>② 遍历数组中的每个元素： <ul><li>如果有元素比最大值还要大，就让变量 max 保存最大值。</li><li>如果有元素比最小值还要小，就让变量 min 保存最小值。</li></ul></li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义最大值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> max </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义最小值</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> min </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&gt;=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> max) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            max </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> min) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            min </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的最大值为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, max);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 数组的最大值为：108</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;数组的最小值为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, min);</span><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;"> // 数组的最小值为：-36</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br></div></div><h3 id="_2-7-3-应用示例" tabindex="-1">2.7.3 应用示例 <a class="header-anchor" href="#_2-7-3-应用示例" aria-label="Permalink to &quot;2.7.3 应用示例&quot;"></a></h3><ul><li><p>需求：统计数组中某个元素出现的次数，要求：使用无限循环，如果输入的数字是 0 ，就退出。</p></li><li><p>示例：</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;当前数组中的元素是：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 无限循环</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    while</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">true</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 统计的数字</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num;</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 统计数字出现的次数</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> count </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 输入数字</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入要统计的数字：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">num);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 0 作为结束条件</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (num </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            break</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">        // 遍历数组，并计数</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">==</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> num) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">                count</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;您输入的数字 </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 在数组中出现了 </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> 次</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, num, count);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br><span class="line-number">34</span><br><span class="line-number">35</span><br><span class="line-number">36</span><br><span class="line-number">37</span><br><span class="line-number">38</span><br><span class="line-number">39</span><br><span class="line-number">40</span><br><span class="line-number">41</span><br><span class="line-number">42</span><br><span class="line-number">43</span><br><span class="line-number">44</span><br><span class="line-number">45</span><br></div></div><h3 id="_2-7-4-应用示例" tabindex="-1">2.7.4 应用示例 <a class="header-anchor" href="#_2-7-4-应用示例" aria-label="Permalink to &quot;2.7.4 应用示例&quot;"></a></h3><ul><li><p>需求：将数组 a 中的全部元素复制到数组 b 中。</p></li><li><p>示例：</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#define</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">  SIZE</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 10</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> a</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> b</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[SIZE];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 复制数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        b</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> a</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印数组 b 中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">b</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br></div></div><h3 id="_2-7-5-应用示例" tabindex="-1">2.7.5 应用示例 <a class="header-anchor" href="#_2-7-5-应用示例" aria-label="Permalink to &quot;2.7.5 应用示例&quot;"></a></h3><ul><li>需求：数组对称位置的元素互换。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>思路：假设数组一共有 10 个元素，那么：</p><ul><li>a[0] 和 a[9] 互换。</li><li>a[1] 和 a[8] 互换。</li><li>...</li></ul><p>规律就是 <code>a[i] &lt;--互换--&gt; arr[arr.length -1 -i]</code></p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 原始数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    </span></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印原始数组中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;原始数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 交换数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp          </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]            </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印交换后的数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;交换后数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br></div></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 原始数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">108</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印原始数组中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;原始数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 交换数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">--</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]   </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[j];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">        arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[j]   </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印交换后的数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;交换后数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> SIZE; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br></div></div><h3 id="_2-7-6-应用示例" tabindex="-1">2.7.6 应用示例 <a class="header-anchor" href="#_2-7-6-应用示例" aria-label="Permalink to &quot;2.7.6 应用示例&quot;"></a></h3><ul><li>需求：将数组中的最大值移动到数组的最末尾。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>思路：从数组的下标 <code>0</code> 开始依次遍历到 <code>length - 1</code> ，如果 <code>i</code> 下标当前的值比 <code>i+1</code> 下标的值大，则交换；否则，就不交换。</p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 原始数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">891</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印原始数组中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;原始数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 移动最大值到数组的最后一个位置</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&gt;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp   </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">            arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]     </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">            arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印移动之后的数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;移动之后的数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br><span class="line-number">34</span><br><span class="line-number">35</span><br></div></div><h3 id="_2-7-7-应用示例" tabindex="-1">2.7.7 应用示例 <a class="header-anchor" href="#_2-7-7-应用示例" aria-label="Permalink to &quot;2.7.7 应用示例&quot;"></a></h3><ul><li>需求：实现冒泡排序，即将数组的元素从小到大排列。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>思路：一层循环，能实现最大值移动到数组的最后；那么，二层循环（控制内部循环数组的长度）就能实现将数组的元素从小到大排序。</p></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 原始数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">31</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">24</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">15</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">36</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">67</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">891</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">29</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">51</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 计算数组的长度</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    size_t</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印原始数组中的全部元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;原始数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">-</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> -</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">            if</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&gt;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">                int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">                arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">                arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> temp;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印移动之后的数组</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;移动之后的数组：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> length; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br><span class="line-number">34</span><br><span class="line-number">35</span><br><span class="line-number">36</span><br></div></div><h1 id="第三章-多维数组-⭐" tabindex="-1">第三章：多维数组（⭐） <a class="header-anchor" href="#第三章-多维数组-⭐" aria-label="Permalink to &quot;第三章：多维数组（⭐）&quot;"></a></h1><h2 id="_3-1-概述" tabindex="-1">3.1 概述 <a class="header-anchor" href="#_3-1-概述" aria-label="Permalink to &quot;3.1 概述&quot;"></a></h2><h3 id="_3-1-1-引入" tabindex="-1">3.1.1 引入 <a class="header-anchor" href="#_3-1-1-引入" aria-label="Permalink to &quot;3.1.1 引入&quot;"></a></h3><ul><li><p>我们在数学、物理和计算机科学等学科中学习过<code>一维坐标</code>、<code>二维坐标</code>以及<code>三维坐标</code>。</p></li><li><p>其中，<code>一维坐标</code>通常用于描述在线段或直线上的点的位置，主要应用有：</p><ul><li><strong>数轴</strong>：一维坐标可以用来表示数轴上的数值位置，这在基础数学和初等代数中非常常见。</li></ul><p><img src="/c/assets/8.EoNXwZXz.png" alt=""></p><ul><li><strong>时间轴</strong>：时间可以看作是一维的，它可以用一维坐标表示，例如：秒、分钟、小时等。</li></ul><p><img src="/c/assets/9.iU-LaFqX.png" alt=""></p><ul><li><strong>统计数据</strong>：一维坐标常用于表示单变量的数据集，如：测量身高、体重、温度等。</li></ul><p><img src="/c/assets/10.DYoXU9E6.jpg" alt=""></p></li><li><p>其中，<code>二维坐标</code>用于描述平面上的点的位置。主要应用包括：</p><ul><li><strong>几何学</strong>：在几何学中，二维坐标用于表示平面图形的顶点、边和面积等。</li></ul><p><img src="/c/assets/11.DWDH3yqc.png" alt=""></p><ul><li><strong>地图和导航</strong>：地理坐标系统（经纬度）使用二维坐标来表示地球表面的任意位置。</li></ul><p><img src="/c/assets/12.BvBjpbbE.png" alt="image-20240724112326592"></p><ul><li><strong>图形设计和计算机图形学</strong>：二维坐标在绘制图形、设计图案和用户界面中非常重要。</li></ul><p><img src="/c/assets/13.CmPe90qp.png" alt=""></p><ul><li><strong>物理学</strong>：二维运动和场，例如：在描述物体在平面上的运动轨迹时使用二维坐标。</li></ul><p><img src="/c/assets/14.MepLJvOt.jpg" alt=""></p></li><li><p>其中，三维坐标用于描述空间中点的位置。主要应用包括：</p><ul><li><strong>几何学</strong>：三维坐标在空间几何中用于表示立体图形的顶点、边、面和体积。</li></ul><p><img src="/c/assets/15.CZUo3kuI.png" alt=""></p><ul><li><strong>计算机图形学</strong>：三维建模和动画需要使用三维坐标来创建和操控虚拟对象。</li></ul><p><img src="/c/assets/16.t7xuKRuB.png" alt=""></p><ul><li><strong>工程和建筑设计</strong>：在设计建筑物、机械部件和其他工程项目时，使用三维坐标来精确定位和规划。</li></ul><p><img src="/c/assets/17.Bkm40EoU.png" alt=""></p><ul><li><strong>物理学</strong>：三维空间中的力、运动和场，例如：描述物体在空间中的位置和运动轨迹。</li></ul><p><img src="/c/assets/18.D0Mtsawg.png" alt=""></p></li><li><p>总而言之，一维、二维和三维坐标系统在不同的领域中各有其重要的应用，从基础数学到高级科学和工程技术，它们帮助我们更好地理解和描述世界的结构和行为。</p></li></ul><h3 id="_3-1-2-多维数组" tabindex="-1">3.1.2 多维数组 <a class="header-anchor" href="#_3-1-2-多维数组" aria-label="Permalink to &quot;3.1.2 多维数组&quot;"></a></h3><ul><li>在 C 语言中，多维数组就是数组嵌套，即：在数组中包含数组，数组中的每一个元素还是一个数组类型，如下所示：</li></ul><p><img src="/c/assets/19.C-mmUOKp.png" alt=""></p><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 如果数组中嵌套的每一个元素是一个常量值，那么该数组就是一维数组。</li><li>② 如果数组中嵌套的每一个元素是一个一维数组，那么该数组就是二维数组。</li><li>③ 如果数组中前台的每一个元素是一个二维数组，那么该数组就是三维数组.</li><li>④ 依次类推...</li></ul></div><ul><li>一维数组和多维数组的理解： <ul><li>从内存角度看：一维数组或多维数组都是占用的一整块连续的内存空间。</li><li>从数据操作角度看： <ul><li>一维数组可以直接通过<code>下标</code>访问到数组中的某个元素，即：0、1、...</li><li>二维数组要想访问某个元素，先要获取某个一维数组，然后在一维数组中获取对应的数据。</li></ul></li></ul></li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① C 语言中的一维数组或多维数组都是占用的一整块连续的内存空间，其它编程语言可不是这样的，如：Java 等。</li><li>② 在实际开发中，最为常用的就是二维数组或三维数组了，以二维数组居多！！！</li></ul></div><h2 id="_3-2-二维数组的定义" tabindex="-1">3.2 二维数组的定义 <a class="header-anchor" href="#_3-2-二维数组的定义" aria-label="Permalink to &quot;3.2 二维数组的定义&quot;"></a></h2><h3 id="_3-2-1-动态初始化" tabindex="-1">3.2.1 动态初始化 <a class="header-anchor" href="#_3-2-1-动态初始化" aria-label="Permalink to &quot;3.2.1 动态初始化&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[几个⼀维数组元素][每个⼀维数组中有几个具体的数据元素];</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 二维数组在实际开发中，最为常见的应用场景就是表格或矩阵了。</li><li>② 几个一维数组元素 = 行数。</li><li>③ 每个⼀维数组中有几个具体的数据元素 = 列数。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组并初始化</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">7</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">8</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">9</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">11</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 输出二维数组中的元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br></div></div><h3 id="_3-2-2-静态初始化-1" tabindex="-1">3.2.2 静态初始化 1 <a class="header-anchor" href="#_3-2-2-静态初始化-1" aria-label="Permalink to &quot;3.2.2 静态初始化 1&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[行数][列数] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{元素1,元素2,...},{元素3,...},...}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 行数 = 几个一维数组元素。</li><li>② 列数 = 每个⼀维数组中有几个具体的数据元素。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">9</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">11</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 输出二维数组中的元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br></div></div><h3 id="_3-2-3-静态初始化-2" tabindex="-1">3.2.3 静态初始化 2 <a class="header-anchor" href="#_3-2-3-静态初始化-2" aria-label="Permalink to &quot;3.2.3 静态初始化 2&quot;"></a></h3><ul><li>语法：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">数据类型 数组名[行数]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> =</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{元素1,元素2,...},{元素3,...},...}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><ul><li>① 行数 = 几个一维数组元素 。</li><li>② 可以不指定行数，必须指定列数，编译器会根据元素的个数和列的个数，自动推断出行数！！！</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">9</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">11</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 输出二维数组中的元素</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> \n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br></div></div><h2 id="_3-3-二维数组的理解" tabindex="-1">3.3 二维数组的理解 <a class="header-anchor" href="#_3-3-二维数组的理解" aria-label="Permalink to &quot;3.3 二维数组的理解&quot;"></a></h2><ul><li>如果二维数组是这么定义的，即：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br></div></div><ul><li>那么，这个二维数组 <code>arr</code> 可以看做是 <code>3</code> 个一维数组组成，它们分别是 <code>arr[0]</code>、<code>arr[1]</code>、<code>arr[2]</code>。这 <code>3</code> 个一维数组都各有 4 个元素，如：一维数组 <code>arr[0]</code> 中的元素是 <code>arr[0][0]</code>、<code>arr[0][1]</code>、<code>arr[0][2]</code>、<code>arr[0][3]</code>，即：</li></ul><p><img src="/c/assets/20.BvSSXPdI.png" alt=""></p><h2 id="_3-4-二维数组的遍历" tabindex="-1">3.4 二维数组的遍历 <a class="header-anchor" href="#_3-4-二维数组的遍历" aria-label="Permalink to &quot;3.4 二维数组的遍历&quot;"></a></h2><ul><li>访问二维数组的元素，需要使用两个下标（索引），一个用于访问行（第一维），另一个用于访问列（第二维），我们通常称为行下标（行索引）或列下标（列索引）。</li><li>所以，遍历二维数组，需要使用双层循环结构。</li></ul><div class="note custom-block github-alert"><p class="custom-block-title">NOTE</p><p></p><p>如果一个二维数组是这么定义的，即：<code>int arr[3][4]</code>，那么：</p><ul><li><code>行的长度 = sizeof(arr) / sizeof(arr[0])</code> ，因为 <code>arr</code> 是二维数组的<code>总</code>的内存空间；而 <code>arr[0]</code> 、<code>arr[1]</code>、<code>arr[2]</code> 是二维数组中一维数组的内存空间 。</li><li><code>列的长度 = sizeof(arr[0]) / sizeof(arr[0][0])</code>，因为<code>arr[0]</code> 、<code>arr[1]</code>、<code>arr[2]</code> 是二维数组中一维数组的内存空间 ，而 <code>arr[0][0]</code>、<code>arr[0][1]</code>、... 是一维数组中元素的内存空间。</li></ul></div><ul><li>示例：</li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> arr</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">[]</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">] </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> {{</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">2</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">4</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">6</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}, {</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">9</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">10</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">11</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">12</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}};</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 获取行列数</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 打印二维数组元素</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col; j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">            printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i][j]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br></div></div><h2 id="_3-5-二维数组的内存分析" tabindex="-1">3.5 二维数组的内存分析 <a class="header-anchor" href="#_3-5-二维数组的内存分析" aria-label="Permalink to &quot;3.5 二维数组的内存分析&quot;"></a></h2><ul><li><p>用<code>矩阵形式</code>（如3行4列形式）表示二维数组，是<code>逻辑</code>上的概念，能形象地表示出行列关系。而在<code>内存</code>中，各元素是连续存放的，不是二维的，是<code>线性</code>的。</p></li><li><p>C 语言中，二维数组中元素排列的顺序是<code>按行存放</code>的。即：先顺序存放第一行的元素，再存放第二行的元素。例如：数组<code>a[3][4] </code>在内存中的存放：</p></li></ul><p><img src="/c/assets/21.uaya_nVR.png" alt=""></p><h2 id="_3-6-二维数组的应用案例" tabindex="-1">3.6 二维数组的应用案例 <a class="header-anchor" href="#_3-6-二维数组的应用案例" aria-label="Permalink to &quot;3.6 二维数组的应用案例&quot;"></a></h2><ul><li><p>需求：现在有三个班，每个班五名同学，用二维数组保存他们的成绩，并求出每个班级平均分、以及所有班级平均分，数据要求从控制台输入。</p></li><li><p>示例：</p></li></ul><div class="language-c vp-adaptive-theme line-numbers-mode"><button title="Copy Code" class="copy"></button><span class="lang">c</span><pre class="shiki shiki-themes github-light github-dark vp-code" tabindex="0"><code><span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">#include</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;"> &lt;stdio.h&gt;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;"> main</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">() {</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 定义二维数组，用于保存成绩</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">3</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">5</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">];</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 获取二维数组的行数和列数</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(arr) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]) </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;"> sizeof</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">][</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">]);</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 从控制台输入成绩</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col; j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">            printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;请输入第</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">个班级的第</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">个学生的成绩：&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">            scanf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%lf</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&amp;</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;">arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i][j]);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 总分</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> totalSum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6A737D;--shiki-dark:#6A737D;">    // 遍历数组，求总分和各个班级的平均分</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> row; i</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        double</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">        for</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">int</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">=</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">; j </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">&lt;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col; j</span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">++</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">) {</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            totalSum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i][j];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">            sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+=</span><span style="--shiki-light:#E36209;--shiki-dark:#FFAB70;"> arr</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">[i][j];</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">        }</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;第</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">个班级的总分为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, sum);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">        printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;第</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%d</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">个班级的平均分为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, i </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">+</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 1</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, sum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col);</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">    }</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;所有班级的总分为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, totalSum);</span></span>
+<span class="line"><span style="--shiki-light:#6F42C1;--shiki-dark:#B392F0;">    printf</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">(</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;所有班级的平均分为：</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;">%.2lf\n</span><span style="--shiki-light:#032F62;--shiki-dark:#9ECBFF;">&quot;</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">, totalSum </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">/</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> (row </span><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">*</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;"> col));</span></span>
+<span class="line"></span>
+<span class="line"><span style="--shiki-light:#D73A49;--shiki-dark:#F97583;">    return</span><span style="--shiki-light:#005CC5;--shiki-dark:#79B8FF;"> 0</span><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">;</span></span>
+<span class="line"><span style="--shiki-light:#24292E;--shiki-dark:#E1E4E8;">}</span></span></code></pre><div class="line-numbers-wrapper" aria-hidden="true"><span class="line-number">1</span><br><span class="line-number">2</span><br><span class="line-number">3</span><br><span class="line-number">4</span><br><span class="line-number">5</span><br><span class="line-number">6</span><br><span class="line-number">7</span><br><span class="line-number">8</span><br><span class="line-number">9</span><br><span class="line-number">10</span><br><span class="line-number">11</span><br><span class="line-number">12</span><br><span class="line-number">13</span><br><span class="line-number">14</span><br><span class="line-number">15</span><br><span class="line-number">16</span><br><span class="line-number">17</span><br><span class="line-number">18</span><br><span class="line-number">19</span><br><span class="line-number">20</span><br><span class="line-number">21</span><br><span class="line-number">22</span><br><span class="line-number">23</span><br><span class="line-number">24</span><br><span class="line-number">25</span><br><span class="line-number">26</span><br><span class="line-number">27</span><br><span class="line-number">28</span><br><span class="line-number">29</span><br><span class="line-number">30</span><br><span class="line-number">31</span><br><span class="line-number">32</span><br><span class="line-number">33</span><br><span class="line-number">34</span><br><span class="line-number">35</span><br><span class="line-number">36</span><br><span class="line-number">37</span><br><span class="line-number">38</span><br></div></div></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-e257564d><!--[--><!--]--><div class="edit-info" data-v-e257564d><!----><div class="last-updated" data-v-e257564d><p class="VPLastUpdated" data-v-e257564d data-v-e98dd255>上次更新: <time datetime="2024-07-24T07:38:46.000Z" data-v-e98dd255></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-e257564d><span class="visually-hidden" id="doc-footer-aria-label" data-v-e257564d>Pager</span><div class="pager" data-v-e257564d><a class="VPLink link pager-link prev" href="/c/notes/01_c-basic/04_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>上一篇</span><span class="title" data-v-e257564d>流程控制</span><!--]--></a></div><div class="pager" data-v-e257564d><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/06_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>下一篇</span><span class="title" data-v-e257564d>函数</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
+    <script>window.__VP_HASH_MAP__=JSON.parse("{\"index.md\":\"D0m5RaG6\",\"notes_01_c-basic_01_xdx_index.md\":\"7lTzv-1j\",\"notes_01_c-basic_02_xdx_index.md\":\"36L8tSmA\",\"notes_01_c-basic_03_xdx_index.md\":\"BUQ_uNMg\",\"notes_01_c-basic_04_xdx_index.md\":\"CwyFE3Gl\",\"notes_01_c-basic_05_xdx_index.md\":\"aZr9FRYL\",\"notes_index.md\":\"qg0s9W8s\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
+    
+  </body>
+</html>
--- a/notes/index.html
+++ b/notes/index.html
@ -5,14 +5,14 @@
    
    <title>c/c++ 学科 | Hi，终于等到你</title>
    <meta name="description" content="许大仙前端、Java、大数据、云原生">
-    <meta name="generator" content="VitePress v1.2.3">
-    <link rel="preload stylesheet" href="/c/assets/style.bTUc_nQv.css" as="style">
+    <meta name="generator" content="VitePress v1.3.1">
+    <link rel="preload stylesheet" href="/c/assets/style.DF3ihcHP.css" as="style">
    
-    <script type="module" src="/c/assets/app.B-gMyJXN.js"></script>
+    <script type="module" src="/c/assets/app.tyefp9BV.js"></script>
    <link rel="preload" href="/c/assets/inter-roman-latin.Di8DUHzh.woff2" as="font" type="font/woff2" crossorigin="">
-    <link rel="modulepreload" href="/c/assets/chunks/framework.BE8if9e6.js">
-    <link rel="modulepreload" href="/c/assets/chunks/theme.CJXJMEf1.js">
-    <link rel="modulepreload" href="/c/assets/notes_index.md.3bIiHjBr.lean.js">
+    <link rel="modulepreload" href="/c/assets/chunks/framework.CZKtKhAm.js">
+    <link rel="modulepreload" href="/c/assets/chunks/theme.DpGvkbEa.js">
+    <link rel="modulepreload" href="/c/assets/notes_index.md.qg0s9W8s.lean.js">
    <link rel="shortcut icon" href="/c//logo.svg">
    <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1.0, maximum-scale=1.0, user-scalable=no,shrink-to-fit=no">
    <meta name="keywords" content="许大仙,许大仙的博客">
@ -20,8 +20,8 @@
    <script id="check-mac-os">document.documentElement.classList.toggle("mac",/Mac|iPhone|iPod|iPad/i.test(navigator.platform));</script>
  </head>
  <body>
-    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-ccf7ddec><div class="wrapper" data-v-ccf7ddec><div class="container" data-v-ccf7ddec><div class="title" data-v-ccf7ddec><div class="VPNavBarTitle has-sidebar" data-v-ccf7ddec data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-ccf7ddec><div class="content-body" data-v-ccf7ddec><!--[--><!--]--><div class="VPNavBarSearch search" data-v-ccf7ddec><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-ccf7ddec data-v-7f418b0f><span id="main-nav-aria-label" class="visually-hidden" data-v-7f418b0f>Main Navigation</span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink active" href="/c/notes/" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-7f418b0f data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-ccf7ddec data-v-e6aabb21><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-e6aabb21 data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-ccf7ddec data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-ccf7ddec data-v-d0bd9dde data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-e7ea1737><!----><!--[--><!--[--><!----><div class="group" data-v-d0bd9dde><div class="item appearance" data-v-d0bd9dde><p class="label" data-v-d0bd9dde>Appearance</p><div class="appearance-action" data-v-d0bd9dde><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-d0bd9dde data-v-d1f28634 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-d1f28634></span><span class="vpi-moon moon" data-v-d1f28634></span><!--]--></span></span></button></div></div></div><div class="group" data-v-d0bd9dde><div class="item social-links" data-v-d0bd9dde><div class="VPSocialLinks social-links-list" data-v-d0bd9dde data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-ccf7ddec data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-ccf7ddec><div class="divider-line" data-v-ccf7ddec></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-575e6a36><div class="curtain" data-v-575e6a36></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-575e6a36><span class="visually-hidden" id="sidebar-aria-label" data-v-575e6a36> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="group" data-v-575e6a36><section class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><h2 class="text" data-v-b8d55f3b>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b8d55f3b><span class="vpi-chevron-right caret-icon" data-v-b8d55f3b></span></div></div><div class="items" data-v-b8d55f3b><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b8d55f3b data-v-b8d55f3b><div class="item" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b8d55f3b><!--[--><p class="text" data-v-b8d55f3b>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C 语言高级</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 核心编程</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>C++ 标准库</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>QT 桌面开发</p><!----></div><!----></div></div><div class="group" data-v-575e6a36><div class="VPSidebarItem level-0 collapsible collapsed" data-v-575e6a36 data-v-b8d55f3b><div class="item" role="button" tabindex="0" data-v-b8d55f3b><div class="indicator" data-v-b8d55f3b></div><p class="text" data-v-b8d55f3b>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_" data-v-39a288b8><div><h1 id="c-c-学科" tabindex="-1">c/c++ 学科 <a class="header-anchor" href="#c-c-学科" aria-label="Permalink to &quot;c/c++ 学科&quot;"></a></h1><hr><iframe src="https://roadmap.sh/r/embed?id=6695c8262b17b182cbf4b520" width="115%" height="500px" frameBorder="0"></iframe></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-d4a0bba5><!--[--><!--]--><div class="edit-info" data-v-d4a0bba5><!----><div class="last-updated" data-v-d4a0bba5><p class="VPLastUpdated" data-v-d4a0bba5 data-v-7e05ebdb>上次更新: <time datetime="2024-07-16T01:10:27.000Z" data-v-7e05ebdb></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-d4a0bba5><span class="visually-hidden" id="doc-footer-aria-label" data-v-d4a0bba5>Pager</span><div class="pager" data-v-d4a0bba5><!----></div><div class="pager" data-v-d4a0bba5><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/01_xdx/" data-v-d4a0bba5><!--[--><span class="desc" data-v-d4a0bba5>下一篇</span><span class="title" data-v-d4a0bba5>C 语言入门</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
-    <script>window.__VP_HASH_MAP__=JSON.parse("{\"notes_index.md\":\"3bIiHjBr\",\"index.md\":\"uFk6fSzW\",\"notes_01_c-basic_02_xdx_index.md\":\"Cxyt4HEd\",\"notes_01_c-basic_04_xdx_index.md\":\"lfDB99hY\",\"notes_01_c-basic_01_xdx_index.md\":\"DA3nuW_4\",\"notes_01_c-basic_03_xdx_index.md\":\"Bc0D4KAS\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
+    <div id="app"><div class="Layout" data-v-5d98c3a5><!--[--><!--]--><!--[--><span tabindex="-1" data-v-0f60ec36></span><a href="#VPContent" class="VPSkipLink visually-hidden" data-v-0f60ec36> Skip to content </a><!--]--><!----><header class="VPNav" data-v-5d98c3a5 data-v-ae24b3ad><div class="VPNavBar has-sidebar top" data-v-ae24b3ad data-v-6aa21345><div class="wrapper" data-v-6aa21345><div class="container" data-v-6aa21345><div class="title" data-v-6aa21345><div class="VPNavBarTitle has-sidebar" data-v-6aa21345 data-v-ab179fa1><a class="title" href="/c/" data-v-ab179fa1><!--[--><!--]--><!--[--><img class="VPImage logo" src="/c/logo.svg" alt data-v-8426fc1a><!--]--><span data-v-ab179fa1>许大仙</span><!--[--><!--]--></a></div></div><div class="content" data-v-6aa21345><div class="content-body" data-v-6aa21345><!--[--><!--]--><div class="VPNavBarSearch search" data-v-6aa21345><!--[--><!----><div id="local-search"><button type="button" class="DocSearch DocSearch-Button" aria-label="Search"><span class="DocSearch-Button-Container"><span class="vp-icon DocSearch-Search-Icon"></span><span class="DocSearch-Button-Placeholder">Search</span></span><span class="DocSearch-Button-Keys"><kbd class="DocSearch-Button-Key"></kbd><kbd class="DocSearch-Button-Key">K</kbd></span></button></div><!--]--></div><nav aria-labelledby="main-nav-aria-label" class="VPNavBarMenu menu" data-v-6aa21345 data-v-dc692963><span id="main-nav-aria-label" class="visually-hidden" data-v-dc692963> Main Navigation </span><!--[--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>首页</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/coa6/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>计组6件套</span><!--]--></a><!--]--><!--[--><a class="VPLink link VPNavBarMenuLink active" href="/c/notes/" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>c/c++</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/web-design/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>前端</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/java/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>Java</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/big-data/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>大数据</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/linux/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>云原生</span><!--]--></a><!--]--><!--[--><a class="VPLink link vp-external-link-icon VPNavBarMenuLink" href="https://aexiar.github.io/open-software/notes/" target="_blank" rel="noreferrer" tabindex="0" data-v-dc692963 data-v-9c663999><!--[--><span data-v-9c663999>开源软件</span><!--]--></a><!--]--><!--]--></nav><!----><div class="VPNavBarAppearance appearance" data-v-6aa21345 data-v-6c893767><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-6c893767 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div><div class="VPSocialLinks VPNavBarSocialLinks social-links" data-v-6aa21345 data-v-0394ad82 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div><div class="VPFlyout VPNavBarExtra extra" data-v-6aa21345 data-v-bb2aa2f0 data-v-b6c34ac9><button type="button" class="button" aria-haspopup="true" aria-expanded="false" aria-label="extra navigation" data-v-b6c34ac9><span class="vpi-more-horizontal icon" data-v-b6c34ac9></span></button><div class="menu" data-v-b6c34ac9><div class="VPMenu" data-v-b6c34ac9 data-v-b98bc113><!----><!--[--><!--[--><!----><div class="group" data-v-bb2aa2f0><div class="item appearance" data-v-bb2aa2f0><p class="label" data-v-bb2aa2f0>Appearance</p><div class="appearance-action" data-v-bb2aa2f0><button class="VPSwitch VPSwitchAppearance" type="button" role="switch" title="Switch to dark theme" aria-checked="false" data-v-bb2aa2f0 data-v-5337faa4 data-v-1d5665e3><span class="check" data-v-1d5665e3><span class="icon" data-v-1d5665e3><!--[--><span class="vpi-sun sun" data-v-5337faa4></span><span class="vpi-moon moon" data-v-5337faa4></span><!--]--></span></span></button></div></div></div><div class="group" data-v-bb2aa2f0><div class="item social-links" data-v-bb2aa2f0><div class="VPSocialLinks social-links-list" data-v-bb2aa2f0 data-v-7bc22406><!--[--><a class="VPSocialLink no-icon" href="https://github.com/Aurorxa" aria-label="github" target="_blank" rel="noopener" data-v-7bc22406 data-v-eee4e7cb><span class="vpi-social-github" /></a><!--]--></div></div></div><!--]--><!--]--></div></div></div><!--[--><!--]--><button type="button" class="VPNavBarHamburger hamburger" aria-label="mobile navigation" aria-expanded="false" aria-controls="VPNavScreen" data-v-6aa21345 data-v-e5dd9c1c><span class="container" data-v-e5dd9c1c><span class="top" data-v-e5dd9c1c></span><span class="middle" data-v-e5dd9c1c></span><span class="bottom" data-v-e5dd9c1c></span></span></button></div></div></div></div><div class="divider" data-v-6aa21345><div class="divider-line" data-v-6aa21345></div></div></div><!----></header><div class="VPLocalNav has-sidebar empty" data-v-5d98c3a5 data-v-a6f0e41e><div class="container" data-v-a6f0e41e><button class="menu" aria-expanded="false" aria-controls="VPSidebarNav" data-v-a6f0e41e><span class="vpi-align-left menu-icon" data-v-a6f0e41e></span><span class="menu-text" data-v-a6f0e41e>Menu</span></button><div class="VPLocalNavOutlineDropdown" style="--vp-vh:0px;" data-v-a6f0e41e data-v-17a5e62e><button data-v-17a5e62e>返回顶部</button><!----></div></div></div><aside class="VPSidebar" data-v-5d98c3a5 data-v-319d5ca6><div class="curtain" data-v-319d5ca6></div><nav class="nav" id="VPSidebarNav" aria-labelledby="sidebar-aria-label" tabindex="-1" data-v-319d5ca6><span class="visually-hidden" id="sidebar-aria-label" data-v-319d5ca6> Sidebar Navigation </span><!--[--><!--]--><!--[--><div class="no-transition group" data-v-c40bc020><section class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><h2 class="text" data-v-b7550ba0>C 语言基础</h2><div class="caret" role="button" aria-label="toggle section" tabindex="0" data-v-b7550ba0><span class="vpi-chevron-right caret-icon" data-v-b7550ba0></span></div></div><div class="items" data-v-b7550ba0><!--[--><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/01_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>C 语言入门</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/02_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>变量和进制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/03_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数据类型和运算符</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/04_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>流程控制</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/05_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>数组</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/06_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>函数</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/07_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>指针</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/08_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>预处理器</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/09_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>自定义数据类型</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/10_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>字符串和时间</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/11_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>内存管理</p><!--]--></a><!----></div><!----></div><div class="VPSidebarItem level-1 is-link" data-v-b7550ba0 data-v-b7550ba0><div class="item" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><a class="VPLink link link" href="/c/notes/01_c-basic/12_xdx/" data-v-b7550ba0><!--[--><p class="text" data-v-b7550ba0>文件操作</p><!--]--></a><!----></div><!----></div><!--]--></div></section></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C 语言高级</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 核心编程</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>C++ 标准库</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>QT 桌面开发</p><!----></div><!----></div></div><div class="no-transition group" data-v-c40bc020><div class="VPSidebarItem level-0 collapsible collapsed" data-v-c40bc020 data-v-b7550ba0><div class="item" role="button" tabindex="0" data-v-b7550ba0><div class="indicator" data-v-b7550ba0></div><p class="text" data-v-b7550ba0>Linux 高并发服务器开发</p><!----></div><!----></div></div><!--]--><!--[--><!--]--></nav></aside><div class="VPContent has-sidebar" id="VPContent" data-v-5d98c3a5 data-v-1428d186><div class="VPDoc has-sidebar has-aside" data-v-1428d186 data-v-39a288b8><!--[--><!--]--><div class="container" data-v-39a288b8><div class="aside" data-v-39a288b8><div class="aside-curtain" data-v-39a288b8></div><div class="aside-container" data-v-39a288b8><div class="aside-content" data-v-39a288b8><div class="VPDocAside" data-v-39a288b8 data-v-3f215769><!--[--><!--]--><!--[--><!--]--><nav aria-labelledby="doc-outline-aria-label" class="VPDocAsideOutline" data-v-3f215769 data-v-a5bbad30><div class="content" data-v-a5bbad30><div class="outline-marker" data-v-a5bbad30></div><div aria-level="2" class="outline-title" id="doc-outline-aria-label" role="heading" data-v-a5bbad30>目录</div><ul class="VPDocOutlineItem root" data-v-a5bbad30 data-v-b933a997><!--[--><!--]--></ul></div></nav><!--[--><!--]--><div class="spacer" data-v-3f215769></div><!--[--><!--]--><!----><!--[--><!--]--><!--[--><!--]--></div></div></div></div><div class="content" data-v-39a288b8><div class="content-container" data-v-39a288b8><!--[--><!--]--><main class="main" data-v-39a288b8><div style="position:relative;" class="vp-doc _c_notes_" data-v-39a288b8><div><h1 id="c-c-学科" tabindex="-1">c/c++ 学科 <a class="header-anchor" href="#c-c-学科" aria-label="Permalink to &quot;c/c++ 学科&quot;"></a></h1><hr><iframe src="https://roadmap.sh/r/embed?id=6695c8262b17b182cbf4b520" width="115%" height="500px" frameBorder="0"></iframe></div></div></main><footer class="VPDocFooter" data-v-39a288b8 data-v-e257564d><!--[--><!--]--><div class="edit-info" data-v-e257564d><!----><div class="last-updated" data-v-e257564d><p class="VPLastUpdated" data-v-e257564d data-v-e98dd255>上次更新: <time datetime="2024-07-16T01:10:27.000Z" data-v-e98dd255></time></p></div></div><nav class="prev-next" aria-labelledby="doc-footer-aria-label" data-v-e257564d><span class="visually-hidden" id="doc-footer-aria-label" data-v-e257564d>Pager</span><div class="pager" data-v-e257564d><!----></div><div class="pager" data-v-e257564d><a class="VPLink link pager-link next" href="/c/notes/01_c-basic/01_xdx/" data-v-e257564d><!--[--><span class="desc" data-v-e257564d>下一篇</span><span class="title" data-v-e257564d>C 语言入门</span><!--]--></a></div></nav></footer><!--[--><!--]--></div></div></div><!--[--><!--]--></div></div><footer class="VPFooter has-sidebar" data-v-5d98c3a5 data-v-e315a0ad><div class="container" data-v-e315a0ad><p class="message" data-v-e315a0ad>Released under the MIT License.</p><p class="copyright" data-v-e315a0ad>Copyright © 2024 许大仙</p></div></footer><!--[--><!--]--></div></div>
+    <script>window.__VP_HASH_MAP__=JSON.parse("{\"index.md\":\"D0m5RaG6\",\"notes_01_c-basic_01_xdx_index.md\":\"7lTzv-1j\",\"notes_01_c-basic_02_xdx_index.md\":\"36L8tSmA\",\"notes_01_c-basic_03_xdx_index.md\":\"BUQ_uNMg\",\"notes_01_c-basic_04_xdx_index.md\":\"CwyFE3Gl\",\"notes_01_c-basic_05_xdx_index.md\":\"aZr9FRYL\",\"notes_index.md\":\"qg0s9W8s\"}");window.__VP_SITE_DATA__=JSON.parse("{\"lang\":\"zh-CN\",\"dir\":\"ltr\",\"title\":\"许大仙\",\"titleTemplate\":\"Hi，终于等到你\",\"description\":\"许大仙前端、Java、大数据、云原生\",\"base\":\"/c/\",\"head\":[],\"router\":{\"prefetchLinks\":true},\"appearance\":true,\"themeConfig\":{\"lastUpdatedText\":\"上次更新\",\"returnToTopLabel\":\"返回顶部\",\"search\":{\"provider\":\"local\"},\"logo\":\"/logo.svg\",\"nav\":[{\"text\":\"首页\",\"link\":\"https://aexiar.github.io/\"},{\"text\":\"计组6件套\",\"link\":\"https://aexiar.github.io/coa6/notes/\"},{\"text\":\"c/c++\",\"link\":\"/notes/\"},{\"text\":\"前端\",\"link\":\"https://aexiar.github.io/web-design/notes/\"},{\"text\":\"Java\",\"link\":\"https://aexiar.github.io/java/notes/\"},{\"text\":\"大数据\",\"link\":\"https://aexiar.github.io/big-data/notes/\"},{\"text\":\"云原生\",\"link\":\"https://aexiar.github.io/linux/notes/\"},{\"text\":\"开源软件\",\"link\":\"https://aexiar.github.io/open-software/notes/\"}],\"sidebar\":{\"/notes/\":[{\"text\":\"C 语言基础\",\"collapsed\":true,\"items\":[{\"text\":\"C 语言入门\",\"link\":\"/notes/01_c-basic/01_xdx/\"},{\"text\":\"变量和进制\",\"link\":\"/notes/01_c-basic/02_xdx/\"},{\"text\":\"数据类型和运算符\",\"link\":\"/notes/01_c-basic/03_xdx/\"},{\"text\":\"流程控制\",\"link\":\"/notes/01_c-basic/04_xdx/\"},{\"text\":\"数组\",\"link\":\"/notes/01_c-basic/05_xdx/\"},{\"text\":\"函数\",\"link\":\"/notes/01_c-basic/06_xdx/\"},{\"text\":\"指针\",\"link\":\"/notes/01_c-basic/07_xdx/\"},{\"text\":\"预处理器\",\"link\":\"/notes/01_c-basic/08_xdx/\"},{\"text\":\"自定义数据类型\",\"link\":\"/notes/01_c-basic/09_xdx/\"},{\"text\":\"字符串和时间\",\"link\":\"/notes/01_c-basic/10_xdx/\"},{\"text\":\"内存管理\",\"link\":\"/notes/01_c-basic/11_xdx/\"},{\"text\":\"文件操作\",\"link\":\"/notes/01_c-basic/12_xdx/\"}]},{\"text\":\"C 语言高级\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 核心编程\",\"collapsed\":true,\"items\":[]},{\"text\":\"C++ 标准库\",\"collapsed\":true,\"items\":[]},{\"text\":\"QT 桌面开发\",\"collapsed\":true,\"items\":[]},{\"text\":\"Linux 高并发服务器开发\",\"collapsed\":true,\"items\":[]}]},\"socialLinks\":[{\"icon\":\"github\",\"link\":\"https://github.com/Aurorxa\"}],\"docFooter\":{\"prev\":\"上一篇\",\"next\":\"下一篇\"},\"footer\":{\"message\":\"Released under the MIT License.\",\"copyright\":\"Copyright © 2024 许大仙\"},\"outline\":{\"level\":[1,6],\"label\":\"目录\"},\"outlineTitle\":\"当前页大纲\"},\"locales\":{},\"scrollOffset\":134,\"cleanUrls\":false}");</script>
    
  </body>
 </html>
				`@ -0,0 +1 @@`
				import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.CZKtKhAm.js";const l="/c/assets/1.CvTjP5jN.png",h="/c/assets/2.BR4TvWzU.png",p="/c/assets/3.hr3pCY5b.png",k="/c/assets/4.CgvWfxq4.png",t="/c/assets/5.DSekQATc.png",e="/c/assets/6.DjtEKfCa.png",r="/c/assets/7.BTWPdsCm.png",E="/c/assets/8.EoNXwZXz.png",d="/c/assets/9.iU-LaFqX.png",g="/c/assets/10.DYoXU9E6.jpg",y="/c/assets/11.DWDH3yqc.png",F="/c/assets/12.BvBjpbbE.png",c="/c/assets/13.CmPe90qp.png",b="/c/assets/14.MepLJvOt.jpg",u="/c/assets/15.CZUo3kuI.png",C="/c/assets/16.t7xuKRuB.png",o="/c/assets/17.Bkm40EoU.png",m="/c/assets/18.D0Mtsawg.png",B="/c/assets/19.C-mmUOKp.png",A="/c/assets/20.BvSSXPdI.png",D="/c/assets/21.uaya_nVR.png",N=JSON.parse('{"title":"第一章：数组的概念","description":"","frontmatter":{},"headers":[],"relativePath":"notes/01_c-basic/05_xdx/index.md","filePath":"notes/01_c-basic/05_xdx/index.md","lastUpdated":1721806726000}'),v={name:"notes/01_c-basic/05_xdx/index.md"},q=n("",168),f=[q];function _(x,z,w,P,j,S){return a(),i("div",null,f)}const I=s(v,[["render",_]]);export{N as __pageData,I as default};