diff --git a/.dumi/global.ts b/.dumi/global.ts deleted file mode 100644 index f3959b0..0000000 --- a/.dumi/global.ts +++ /dev/null @@ -1,7 +0,0 @@ -// @ts-nocheck -import Prism from 'prism-react-renderer/prism'; - -(typeof global !== 'undefined' ? global : window).Prism = Prism; - -require('prismjs/components/prism-java'); -require('prismjs/components/prism-rust'); diff --git a/.dumi/theme/builtins/TabItem/index.tsx b/.dumi/theme/builtins/TabItem/index.tsx deleted file mode 100644 index d9eb797..0000000 --- a/.dumi/theme/builtins/TabItem/index.tsx +++ /dev/null @@ -1,8 +0,0 @@ -// @ts-nocheck -import { createElement } from 'react'; - -const TabItem = (props) => { - return createElement(props.children); -}; - -export default TabItem; diff --git a/.dumi/theme/builtins/Tabs/index.less b/.dumi/theme/builtins/Tabs/index.less deleted file mode 100644 index fe3dc4e..0000000 --- a/.dumi/theme/builtins/Tabs/index.less +++ /dev/null @@ -1,52 +0,0 @@ -.tab-container { - width: 100%; - margin: 0 auto; - - .tab-list { - list-style-type: none; - display: flex; - padding: 0; - margin: 0; - line-height: 36px; - border: 1px solid #ddd; - border-radius: 10px 10px 0 0; - border-bottom: none; - .tab-item { - cursor: pointer; - margin: 0 12px; - border-bottom: none; - color: rgba(42, 46, 54, 0.45); - - &.active { - color: rgba(42, 46, 54, 0.88); - border-bottom: 2px solid #007bff; - } - } - } - - .tab-content { - padding: 10px; - border: 1px solid #ddd; - border-radius: 0 0 10px 10px; - border-top: none; - } -} - -[data-prefers-color='dark'] { - .tab-container { - .tab-list { - border-color: #2a353c; - .tab-item { - color: rgba(255, 255, 255, 0.45); - - &.active { - color: rgba(255, 255, 255, 0.88); - border-bottom: 2px solid #007bff; - } - } - } - } - .tab-content { - border-color: #2a353c; - } -} diff --git a/.dumi/theme/builtins/Tabs/index.tsx b/.dumi/theme/builtins/Tabs/index.tsx deleted file mode 100644 index 71a159a..0000000 --- a/.dumi/theme/builtins/Tabs/index.tsx +++ /dev/null @@ -1,46 +0,0 @@ -// @ts-nocheck -import React, { useState } from 'react'; -import './index.less'; - -/** - * 使用方法 - - - This is an apple 🍎 - - - This is an orange 🍊 - - - This is a banana 🍌 - - -*/ - -const Tabs = (props) => { - const children = props?.children?.filter(child => child != '\n ') || []; - const [activeTab, setActiveTab] = useState(0); - - // 处理Tab切换 - const handleTabChange = (index) => { - setActiveTab(index); - }; - - return
- -
- {children[activeTab]?.props?.children} -
-
-} - -export default Tabs; diff --git a/.dumirc.ts b/.dumirc.ts deleted file mode 100644 index 02903bc..0000000 --- a/.dumirc.ts +++ /dev/null @@ -1,13 +0,0 @@ -import { defineConfig } from 'dumi'; - -export default defineConfig({ - base: '/leetcode-js/', // 文档起始路由 - publicPath: '/leetcode-js/', // 静态资源起始路径 - favicons: ['/leetcode-js/favicon.ico'], - themeConfig: { - name: 'leetcode-js', - logo: '/leetcode-js/logo.png', - footer: ' 💫 keep awake 💫', - }, - hash: true, // 开启 hash 模式,让 build 之后的产物包含 hash 后缀。通常用于增量发布和避免浏览器加载缓存 -}); diff --git a/.editorconfig b/.editorconfig deleted file mode 100644 index e717f5e..0000000 --- a/.editorconfig +++ /dev/null @@ -1,13 +0,0 @@ -# http://editorconfig.org -root = true - -[*] -indent_style = space -indent_size = 2 -end_of_line = lf -charset = utf-8 -trim_trailing_whitespace = true -insert_final_newline = true - -[*.md] -trim_trailing_whitespace = false diff --git a/.github/workflows/gh-pages.yml b/.github/workflows/gh-pages.yml deleted file mode 100644 index 9a50cf7..0000000 --- a/.github/workflows/gh-pages.yml +++ /dev/null @@ -1,19 +0,0 @@ -name: github pages - -on: - push: - branches: - - main # default branch - -jobs: - deploy: - runs-on: ubuntu-18.04 - steps: - - uses: actions/checkout@v2 - - run: npm install - - run: npm run build - - name: Deploy - uses: peaceiris/actions-gh-pages@v3 - with: - github_token: ${{ secrets.GITHUB_TOKEN }} - publish_dir: ./dist diff --git a/.gitignore b/.gitignore deleted file mode 100644 index d656483..0000000 --- a/.gitignore +++ /dev/null @@ -1,6 +0,0 @@ -node_modules -.dumi/tmp -.dumi/tmp-production -.DS_Store -.vscode -dist diff --git a/.husky/commit-msg b/.husky/commit-msg deleted file mode 100755 index 5b0b354..0000000 --- a/.husky/commit-msg +++ /dev/null @@ -1,4 +0,0 @@ -#!/usr/bin/env sh -. "$(dirname -- "$0")/_/husky.sh" - -npx commitlint --edit "${1}" diff --git a/.husky/pre-commit b/.husky/pre-commit deleted file mode 100755 index d24fdfc..0000000 --- a/.husky/pre-commit +++ /dev/null @@ -1,4 +0,0 @@ -#!/usr/bin/env sh -. "$(dirname -- "$0")/_/husky.sh" - -npx lint-staged diff --git a/.prettierignore b/.prettierignore deleted file mode 100644 index 080af52..0000000 --- a/.prettierignore +++ /dev/null @@ -1,4 +0,0 @@ -.dumi/tmp -.dumi/tmp-production -*.yaml -dist diff --git a/.prettierrc.js b/.prettierrc.js deleted file mode 100644 index e048a9d..0000000 --- a/.prettierrc.js +++ /dev/null @@ -1,14 +0,0 @@ -module.exports = { - printWidth: 80, - proseWrap: 'never', - singleQuote: true, - trailingComma: 'all', - overrides: [ - { - files: '*.md', - options: { - proseWrap: 'preserve', - }, - }, - ], -}; diff --git a/.vscode/launch.json b/.vscode/launch.json deleted file mode 100644 index 366f4ba..0000000 --- a/.vscode/launch.json +++ /dev/null @@ -1,15 +0,0 @@ -{ - // Use IntelliSense to learn about possible attributes. - // Hover to view descriptions of existing attributes. - // For more information, visit: https://go.microsoft.com/fwlink/?linkid=830387 - "version": "0.2.0", - "configurations": [ - { - "type": "pwa-node", - "request": "launch", - "name": "Launch Program", - "skipFiles": ["/**"], - "program": "${workspaceFolder}/leetCode/stack/index.js" - } - ] -} diff --git a/404.html b/404.html new file mode 100644 index 0000000..812f686 --- /dev/null +++ b/404.html @@ -0,0 +1,12 @@ + + + + + + + + +
+ + + \ No newline at end of file diff --git a/572.cf6acd13.async.js b/572.cf6acd13.async.js new file mode 100644 index 0000000..48a8ac8 --- /dev/null +++ b/572.cf6acd13.async.js @@ -0,0 +1,3 @@ +(self.webpackChunkleetcode_record=self.webpackChunkleetcode_record||[]).push([[572],{16878:function(w,M,m){"use strict";var I=m(5899),A=m(93236),b=m(6749);function j(a,e){return N(a)||S(a,e)||h(a,e)||E()}function E(){throw new TypeError(`Invalid attempt to destructure non-iterable instance. +In order to be iterable, non-array objects must have a [Symbol.iterator]() method.`)}function h(a,e){if(a){if(typeof a=="string")return O(a,e);var t=Object.prototype.toString.call(a).slice(8,-1);if(t==="Object"&&a.constructor&&(t=a.constructor.name),t==="Map"||t==="Set")return Array.from(a);if(t==="Arguments"||/^(?:Ui|I)nt(?:8|16|32)(?:Clamped)?Array$/.test(t))return O(a,e)}}function O(a,e){(e==null||e>a.length)&&(e=a.length);for(var t=0,n=new Array(e);t")},function:function(e){var 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+ + + \ No newline at end of file diff --git a/docs/blogs/browser.md b/docs/blogs/browser.md deleted file mode 100644 index 66af4b0..0000000 --- a/docs/blogs/browser.md +++ /dev/null @@ -1,557 +0,0 @@ ---- -nav: - title: Blog -group: - title: js相关 - order: 0 -order: 1 ---- - -# 浏览器对象 - -## 一、参考资料 - -- [浏览器对象模型](https://segmentfault.com/a/1190000014212576) -- [聊聊 H5 的 pushState 与 replaceState](https://juejin.cn/post/6844903558576341000) -- [用 Javascript 获取页面元素的位置](https://www.ruanyifeng.com/blog/2009/09/find_element_s_position_using_javascript.html) -- [js 获取操作元素位置](https://juejin.cn/post/6961383795866435591) - -## 二、认识浏览器运行态下的 js - -### 1.问:是否了解浏览器的执行态(分层设计)? - -- ECMAScript - 基础逻辑、数据处理,js 语法块 -- BOM - 浏览器本身的能力操作 - - Browser Object Model(浏览器对象模型) - - 浏览器模型提供了独立于内容的、可以与浏览器窗口进行滑动的对象结构,就是浏览器提供的 API -- DOM - 浏览器文本的操作 - -### 2.BOM - -#### 1.[location](https://developer.mozilla.org/zh-CN/docs/Web/API/Location) - -> 提供当前窗口中的加载的文档有关的信息和一些导航功能。 -> 既是 window 对象属性,也是 document 的对象属性 - -```js -window.location === document.location; //true - -// https://www.zhihu.com/search?type=content&q=123 - -location.href = - 'https://www.zhihu.com/search?type=content&q=123'.origin = // 完整的url - 'https://www.zhihu.com'.host = // 页面的标准域名 - 'www.zhihu.com'.hash = // 服务器名称+端口 例如:‘www.zhihu.com:8080’ - '#hash'.pathname = // url中#号后面的哈希值 - '/search'.search = // url中[/]后面内容 - '?type=content&q=123'.protocol = // url中[?]后面内容 - 'https:'.port = // 协议[http:] - ''; //端口号:[ 80 | 8080 | ... ] -``` - -方法: - -1. assign() - 1. `不会打开新窗口`,把请求 url 中的资源,加载到当前窗口 - 2. 会给浏览器的`History`中增加一条历史记录 -2. replace(url) - 1. 用 url 中的内容,替换掉当前的 location 资源 - 2. 不会在浏览器的`History`中增加记录,意味着用户`不能使用回退`按钮 -3. reload() - 1. 重新加载当前 url 的内容 - 2. 当 reload(true)时,会`强制从服务器获取`所有内容 - 3. 若没有参数,重新加载时,`可能从浏览器缓存`加载页面 - -##### 拓展方向: - -- location 本身 api 操作 - - assign VS replace 的区别 -- **解析 url 中的查询字符串,返回一个对象** - - 思路: - - 可以通过`正则`的方式获取,或者通过`字符串分割`的方式 - - 通过`location.search`获取查询字符串内容,如果有`[?]`就截取`[?]`后面的内容 - - 然后通过`[&]`进行分割成为`['key=val1','key=val2']`的形式 - - 通过`[=]`对数组进行分割,使用`decodeURIComponent`对 key 和 val 进行解码,存放到对象中 -- 路由相关: 跳转、参数、操作 - - 页面能否`返回`(history) - - 页面是否`刷新`(hash) - - reload、assign、replace 参数等 -- URI or URL 的区别? - - URI `Uniform Resource Identifier - 统一资源标识符` - - URL `Uniform Resource Locator - 统一资源定位符` - -#### 2.[History](https://developer.mozilla.org/zh-CN/docs/Web/API/History) - -```js -history.state.length; // 当前页面的状态 // 返回当前 `会话` 中的 history 个数 -``` - -方法: - -- pushState(state, title, url) - - 给当前的 history 中添加一个状态 - - 浏览器地址会改变,但是不会加载页面,本质上页面还是停留在原来的页面 -- replaceState() - - 与 pushState 方法类似,但是`不会添加`一个新的 state 到 history 中,而是直接`修改当前`state - -相关联的方法 - -- [window.onpopstate()](https://developer.mozilla.org/zh-CN/docs/Web/API/Window/popstate_event) - - 每当处于激活状态的历史记录条目发生变化时,`popstate`事件就会在对应 window 对象上触发 - - 调用`history.pushState()` 或者 `history.replaceState()` `不会`触发 popstate 事件。 - - popstate 事件只会在`浏览器`某些`行为下触发` - - 比如点击后退、前进按钮(或者在 JavaScript 中调用 history.back()、history.forward()、history.go()方法) - -例子: - -```js -window.onpopstate = function (event) { - alert( - 'location: ' + - document.location + - ', state: ' + - JSON.stringify(event.state), - ); -}; -//绑定事件处理函数. -history.pushState({ page: 1 }, 'title 1', '?page=1'); //添加并激活一个历史记录条目 http://example.com/example.html?page=1,条目索引为1 -history.pushState({ page: 2 }, 'title 2', '?page=2'); //添加并激活一个历史记录条目 http://example.com/example.html?page=2,条目索引为2 -history.replaceState({ page: 3 }, 'title 3', '?page=3'); //修改当前激活的历史记录条目 http://ex..?page=2 变为 http://ex..?page=3,条目索引为3 -history.back(); // 弹出 "location: http://example.com/example.html?page=1, state: {"page":1}" -history.back(); // 弹出 "location: http://example.com/example.html, state: null -history.go(2); // 弹出 "location: http://example.com/example.html?page=3, state: {"page":3} -``` - -#### 3.[navigator](https://developer.mozilla.org/zh-CN/docs/Web/API/Navigator) - -> 浏览器系统信息大集合 - -- clipboard - - 系统剪切板相关信息 -- userAgent - - 当前用户的设备信息 -- onLine - - 返回浏览器的在线状态 -- serial - - 返回[串口](https://developer.chrome.com/articles/serial/)对象,Web Serial API 的入口点 -- bluetooth - - 系统蓝牙相关 - ... - -#### 4.[screen](https://developer.mozilla.org/zh-CN/docs/Web/API/Screen) - -> 用来表示浏览器窗口外部的显示器的信息等 - -window.screen.deviceXDPI/deviceYDPI 屏幕实际的水平 DPI、垂直 DPI - -## 三、浏览器事件 - -浏览器事件模型主要分为三个阶段: - -- 捕获阶段(IE) - - 事件由最外层元素(window),层层向内传递,直到最具体的元素 -- 目标阶段 -- 冒泡阶段(网景) - - 事件由最具体的元素(事件的触发者),层层向外传递(传递给父节点),直到 window 对象停止 - -![浏览器事件](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303131450559.png) - -### 1.addEventListener 第三个参数 - -```js -el.addEventListener(event, function, useCapture) -// useCapture默认值false,也就是默认冒泡 -// true为捕获阶段 -``` - -### 2.阻断事件传播 - -- event.stopPropagation() - - `阻断`事件的传播 - - 但是无法阻止默认事件 -- event.stopImmediatePropagation() - - 如果有多个`相同类型`的事件监听函数`绑定到同一个`元素 - - 当该类型的事件触发时,它们会按照被`添加的顺序`执行 - - 如果其中某个监听函数执行了此方法,则当前元素`剩下`的监听函数将`不会`被执行 - -### 3.阻止默认行为 - -- e.preventDefault() - - e.preventDefault()可以阻止事件的默认行为发生 - - 默认行为是指:点击 a 标签就转跳到其他页面、拖拽一个图片到浏览器会自动打开、点击表单的提交按钮会提交表单等等,因为有的时候我们并不希望发生这些事情,所以需要阻止默认行为 - -### 拓展方向 - -#### 性能方向 - -- 如:事件委托的运用,一个 ul 和多个 li,点击 li 时,改变背景颜色 - -```js -{ - /* -
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-*/ -} -var list = document.querySelector('list'); - -function onClick(e) { - var e = e || window.event; - if (e.target.tagName.toLowerCase() === 'li') { - // 业务逻辑... - e.target.style.backgroundColor = 'pink'; - } -} - -list.addEventListener('click', onClick, false); -``` - -#### 兼容性方向 - -- 如:写一个兼容 IE 的事件绑定 - -先区别 IE 的不同之处 - -- 绑定事件的函数和传参不同: 使用 `attachEvent`绑定,`事件名要加on` -- 解绑时使用的函数和参数不同: 使用`detachEvent`解绑 -- 阻断时的不同: `event.cancelBubble = true` -- 阻止默认行为的不同: `event.returnValue = false` - -```js -class BindEvent { - constructor(el) { - this.el = el; - } - - addEventListener(type, handler) { - if (this.el.addEventListener) { - this.el.addEventListener(type, handler, false); - } else if (this.el.attachEvent) { - this.el.attachEvent('on' + type, handler); - } else { - this.el['on' + type] = handler; - } - } - - removeEventListener(type, handler) { - if (this.el.removeEventListener) { - this.el.removeEventListener(type, handler, false); - } else if (this.el.detachEvent) { - this.el.detachEvent('on' + type, handler); - } else { - this.el['on' + type] = null; - } - } - - static stopPropagation() { - if (e.stopPropagation) { - e.stopPropagation(); - } else { - e.cancelBubble = true; - } - } - - static preventDefault() { - if (e.preventDefault) { - e.preventDefault(); - } else { - e.returnValue = false; - } - } -} -``` - -## 四、网络请求 - -### 1.XMLHttpRequest - -- 属性 - - responseText(服务端响应的文本数据) - - responseXML(服务点响应的 xml 或者 html 类型数据) - - status(响应 HTTP 状态) - - statusText(响应 HTTP 状态描述) - - readyState(发出请求的状态码)对应`onreadystatechange`事件 - - 0:创建成功,但是没有调用 open 方法 - - 1:open 方法被调用 - - 2:send 方法被调用 - - 3:loading,下载中 - - 4:下载操作完成 - - timeout(超时时间,对应超时事件`ontimeout`,ontimeout 事件被弃用) - - upload(上传进度) -- 方法 - - open() 初始化请求(method, url, async),async 表示是否异步操作,默认 true - - send() 发送请求数据,get 请求时,send 可以不传或者 null - - abort() 中止已经发出的请求 - - setRequestHeader() 设置请求头信息 - - getRequestHeader() 获取指定响应头信息 - - getAllResponseHeaders() 获取所有响应头信息 - -封装 XMLHttpRequest 请求 - -```js -function ajax({ method = 'get', url = '', params = undefined }) { - return new Promise((resolve, reject) => { - let xhr = new XMLHttpRequest(); - if (method.toLowerCase() === 'get' && params !== undefined) { - url = url + '?' + params; - } - xhr.open(method, url, true); - xhr.onreadystatechange = function () { - if (xhr.readyState === 4) { - if (xhr.status === 200) { - resolve(xhr.responseText); - } else { - reject(xhr.status); - } - } - }; - - if (method.toLocaleLowerCase() === 'get') { - xhr.send(); - } else { - xhr.setRequestHeader('Content-Type', 'application/x-www-form-urlencoded'); - xhr.send(params); - } - - xhr.onerror = (err) => reject(err); - xhr.timeout = () => reject('timeout'); - - // progress事件可以报告长时间运行的文件上传 - xhr.upload.onprogress = (p) => { - console.log(Math.round((p.loaded / p.total) * 100) + '%'); - }; - }); -} -``` - -### 2.fetch - -- 方法:fetch(url,{}| init 对象 ),返回 Promise 对象,只支持异步 -- 响应通过 response 对象获取: - - `fetch().then((response)=>{}).catch(()=>{})` - - response 对象混入了 body,提供了 5 个方法,将 ReadableStream 转存到缓冲区的内存里,将缓冲区转换为 js 对象,通过 Promise 返回 - - response.text() //转为 text - - response.json() //转为 json - - response.formData() - - response.arrayBuffer() - - response.blob() -- `不支持超时设置` - - 但是可以使用`promise+setTimeout`进行控制 -- 默认`不携带cookies`,但是可以设置 - - `fetch(url, {credentials: 'include'});` - - omit 不发送 cookie - - same-origin 同源发送 cookie(默认) - - include 都发送 cookie -- ​resolve 若发生在网络通信正常(404,500)也是 resolve - - .catch()也不会被执行。 - - ​reject 只发生在网络通信异常 - - 想要精确的判断 fetch 是否成功 - - 需要包含 promise resolved 的情况,此时再判断 response.ok 是不是为 true -- 需要借用 AbortController 中止 fetch - -```js -// ​resolve若发生在网络通信正常(404,500)也是resolve -fetch('http://domain/service', { - method: 'GET', -}) - .then((response) => { - // 想要精确的判断 fetch是否成功 - // 需要包含 promise resolved 的情况,此时再判断 response.ok是不是为 true - if (response.ok) { - return response.json(); - } - throw new Error('Network response was not ok.'); - }) - .then((json) => console.log(json)) - // .catch()也不会被执行 - .catch((error) => console.error('error:', error)); - -// ************************************ -// 不支持直接设置超时, 可以用promise -function fetchTimeout(url, init, timeout = 3000) { - return new Promise((resolve, reject) => { - fetch(url, init).then(resolve).catch(reject); - setTimeout(reject, timeout); - }); -} -// ************************************ -// 中止fetch -// signal用于支持AbortController中断请求 -const controller = new AbortController(); -// AbortController接口表示一个控制器对象 -// 允许你根据需要中止一个或多个 Web请求 -fetch('http://domain/service', { - method: 'GET', - signal: controller.signal, -}) - .then((response) => response.json()) - .then((json) => console.log(json)) - .catch((error) => console.error('Error:', error)); -controller.abort(); -``` - -### 3.Http 状态码和 Header - -#### 1.状态码 - -> 100 信息性|200 成功|300 重定向|400 客户端错误|500 服务器错误 - -##### [1|2|3]xx - -- 101 切换协议 -- 200 Ok -- **301** 永久重定向(设备会缓存) -- 302 临时重定向(以前是临时转移,已经不推荐使用了,建议使用 307) -- **307** 临时重定向 - - 如果是 POST/DELETE 过来的会继续使用 - - 302 只会使用 get -- **304** (Not Modified)服务器文件未修改,协商缓存 -- 308 永久重定向 - ![3xx](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303131648999.png) - -##### 4xx - -- 400 客户端请求有语法错误,不能被服务器识别 -- 403 服务器受到请求,但是拒绝提供服务,可能是跨域也可是权限不够 -- 404 请求的资源不存在 -- 405 请求的 method 不允许 - ![4xx](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303131651517.png) - -##### 5xx - -- 500 服务器发生不可预期的错误 - ![5xx](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303131651223.png) - -#### 2.字段 - -- Content-Length:​ 发送给接收者给 Body 内容长度(字节) - - ​ 一个 Byte 是 8bit - - utf-8 编码的字符是 1-4 个字节 -- ​User-Agent​:客户端特性的字符串 -- ​Content-Type:​ 媒体类型 -- ​Origin​:描述请求来源地址 -- ​Accept - - 建议服务端返回何种媒体类型 - - ​*/*表示所有类型(默认) - - ​text/html,application/json​ -- Accept-Encoding - - ​ 建议服务端发送什么编码(压缩算法) - - ​deflate,gzip;q=1.0,\*;q=0.5 -- ​Accept-Language:​ 建议服务端传递那种语言 -- ​Referer - - 告诉服务端打开当前页面的上一张页面的 URL; - - 如果是 ajax 请求那么就告诉服务端发送请求的 URL 的什么 ​ - - 非浏览器环境有时候不发生 Referer(或者虚拟 Referer,通常是爬虫) - - 常用来做用户行为分析 -- ​Connection​ - - 决定链接是否在当前事务完成后关闭 - - ​http1.0 默认是 close - - ​http1.1 默认是 keep-alive - -![字段](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303131700021.png) - -### 4.拓展方向 - -#### 如何应对网络不稳定(波动)的情况? - -- 失败了重发,指数补偿 - -```js -const request = (url) => { - let resolved = false; - let t = 1; - return new Promise((resolve, reject) => { - // Promise.race([ - // fetch(url), - // wait(100, () => fetch(url)), - // wait(200, () => fetch(url)), - // wait(400, () => fetch(url)), - // wait(800, () => fetch(url)), - // wait(1600, () => fetch(url)), - // ]) - function doFetch() { - if (resolved || t > 16) return; - fetch(url) - .then((resp) => resp.text()) - .then((data) => { - if (!resolved) { - resolved = true; - resolve(data); - } - }); - - setTimeout(() => { - doFetch(); - t *= 2; - }, t * 100); - } - doFetch(); - }); -}; -``` - -#### 如何处理并发请求? - -- 若`相同`的请求,`多次`发送,会照成`带宽`的浪费 -- 处理思路:做`缓存` -- 因为请求具有`时效性`,所以`不能做永久缓存` -- 相同的请求在`一定的时间`内只发生`一次` - - 使用`w`保存请求信息,若同一时间发送多次相同对请求 - - 使用`w[hash].resolves`保存 resolve 函数 - - 当请求函数`w[hash].func`发送成功,执行 resolves 中的函数,保证每次请求都有响应信息 - -```js -import fetch from 'node-fetch'; -function hash(...args) { - return args.join(','); -} -function window_it(fn, time = 50) { - let w = {}; // 时间窗口 - let flag = false; - - return (...args) => { - return new Promise((resolve, reject) => { - if (!w[hash(args)]) { - w[hash(args)] = { - resolves: [], - func: fn, - args, - }; - } - if (!flag) { - flag = true; - setTimeout(() => { - Object.keys(w).forEach((key) => { - console.log(`run ${key}`); - const { func, args, resolves } = w[key]; - func(...args) - .then((res) => res.text()) - .then((data) => { - resolves.forEach((r) => { - console.log(`resolve ${key}`); - r(data); - }); - flag = false; - delete w[key]; - }); - }); - }, time); - } - - w[hash(args)].resolves.push(resolve); - }); - }; -} - -const request = window_it(fetch, 20); -request('http://www.baidu.com').then((txt) => console.log(txt.length)); -request('http://www.baidu.com').then((txt) => console.log(txt.length)); -request('http://www.baidu.com').then((txt) => console.log(txt.length)); - -request('http://www.zhihu.com').then((txt) => console.log(txt.length)); -request('http://www.zhihu.com').then((txt) => console.log(txt.length)); -request('http://www.zhihu.com').then((txt) => console.log(txt.length)); -``` diff --git a/docs/blogs/index.md b/docs/blogs/index.md deleted file mode 100644 index 217d6e6..0000000 --- a/docs/blogs/index.md +++ /dev/null @@ -1,11 +0,0 @@ ---- -nav: - title: Blog - order: 3 -group: - order: -1 ---- - -# 介绍 - -记录一些学习笔记 diff --git a/docs/blogs/js_module.md b/docs/blogs/js_module.md deleted file mode 100644 index a305712..0000000 --- a/docs/blogs/js_module.md +++ /dev/null @@ -1,312 +0,0 @@ ---- -nav: - title: Blog -group: - title: 工程化 - order: 1 -toc: content -order: 0 ---- - -# 前端模块化 - -## 省流:chatGPT 总结 - -> 该文章主要讲述了前端模块化的发展历史和各个阶段的技术方案,包括无模块化(IIFE)、CommonJS、AMD、CMD、ESModule、UMD。 -> -> 其中,无模块化时期的文件拆分是最基础的模块化,但也存在函数命名冲突的问题; -> -> IIFE 是现代模块化的基石,利用函数的块级作用域进行隔离,可以控制作用域; -> -> CommonJS 文件即模块,模块加载同步,适用于服务器端 node,浏览器端使用 webpack 或 browserfy。 -> -> 最后,各种模块化技术方案都是为了更好地满足前端代码管理、组织、通信的需求,模块已经成为了代码管理/编译、业务分离的基本单元。 - -## 一、参考资料 - -- [es-module-history](https://gist.github.com/jkrems/769a8cd8806f7f57903b641c74b5f08a) -- [网页性能管理详解](http://www.ruanyifeng.com/blog/2015/09/web-page-performance-in-depth.html) -- [defer 和 async 的区别](https://segmentfault.com/q/1010000000640869) -- [可能是最详细的 UMD 模块入门指南](https://juejin.cn/post/6844903927104667662) -- [在浏览器中使用 ECMAScript Modules](https://juejin.cn/post/6943233321765715976#heading-9) - -## 二、发展历史 - -- js 的设计之初就是为了满足简单的页面设计+表单提交,并无模块化 or 命名空间的概念 -- 而是实实在在的需求推进了所有技术的演进,模块化也是。 -- 站在前端发展的上帝视角来看,随着前端的能力在纵深都得到增强之后,迫切的需要更好的代码管理、组织、通信的模式,各种模块化的技术方案开始出现。 -- 现如今模块已经成为了代码管理/编译,业务分离的基本单元。 - -总的发展历史: - -- 无模块化(IIFE) -> CommonJS -> AMD -> CMD -> ESModule、UMD - -### 1.无模块化 - -需求: - -1. 开始需要在页面中加载不同的 js:动画、组件、格式化 -2. 多种 js 分布在不同的文件中 -3. 不同的文件又被同一个模块中引用 - -**文件拆分是最基础的模块化** - -```js - - - -// ... -``` - -问题:这个时期函数命名可能会冲突,影响到其他人写的代码 - -#### 引出的问题: - -- script 标签的参数 - async & defer 的区别? - -![async & defer 的区别](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303091712520.png) - -总结: -主要是对标签下载和执行时机的控制 - -- 普通标签 - 遇到标签就去下载,下载完毕之后立刻去解析代码并执行,这个时候会阻塞 GUI 线程渲染 -- defer - 遇到标签之后异步下载,下载完成之后等待其他标签解析完成之后开始执行(**在主线程解析完成之后才执行,降低脚本的优先级,保持用户体验**,使用相对较多) -- async - 遇到标签之后异步下载,下载完成之后立即执行并阻塞渲染,执行完成之后继续渲染(**异步下载结束之后立即执行,不保证脚本执行顺序**,一般用来给那些不需要任何依赖的脚本使用) -- 拓展 -- `ESM` 默认是通过 `defer` 的方式加载的,所以是不需要在 `script` 标签上加 `defer` 属性的 - -#### 横向拓展 - -1. 兼容性如何? > IE9 -2. 引导内容 - 1. **浏览器渲染原理** - 2. **同步异步的原理(Promise,任务队列)** - 3. 模块化加载原理 -3. 产生的问题 - 1. 污染全局作用域 => 不利于大型项目的开发以及多人团队的共建 - -### 2.IIFE - -IIFE 主要是开始对作用域的把控 -利用函数的块级作用域进行隔离 -可以说 IIFE 是现代模块化的基石 - -```js -(function ($) { - console.log($); - return { - data: [], - }; -})(jQuery); //注入对象 -``` - -### 3.Commonjs(cjs) - -- 服务器端 node,浏览器端 webpack|browserfy -- 文件即模块 - - 模块加载同步 - - 服务器模块加载是运行时同步加载 - - 浏览器模块加载是提前编译打包处理 -- exports = module.exports - - 注意:不能直接给 exports 赋值,会导致与 module 断开引用 - - 使用 require 进行引入 -- 缓存 - - cjs 在引用文件的时候,会将文件执行一遍,然后将结果通过浅拷贝的方式写入全局缓存中 - - 后续再次 require 同一个文件时,直接从缓存中读取,不会重新执行模块文件 - -```js -// a.js -var name = 'morrain'; -var age = 18; -exports.name = name; -exports.getAge = function () { - return age; -}; -// b.js -var a = require('a.js'); -console.log(a.name); // 'morrain' -a.name = 'rename'; -var b = require('a.js'); -console.log(b.name); // 'rename' -``` - -- 模块输出的结果是**值的拷贝**,一但输出,模块内部变化后,无法影响之前的引用,而**ESModule 是引用拷贝** - -```js -// a.js -var name = 'morrain'; -var age = 18; -exports.name = name; -exports.age = age; -exports.setAge = function (a) { - age = a; -}; -// b.js -var a = require('a.js'); -console.log(a.age); // 18 -a.setAge(19); -console.log(a.age); // 18 -``` - -- cjs 在**运行时**加载,ESM 是**编译时**加载 -- 缺点:**不支持异步** - - cjs 更偏向于服务端,因为服务端 I/O 能力强,所以 CMJ 是同步的方法 - - ESM 时机遇编译时的,所以支持**异步**能力 - -### 4.AMD - -AMD(Asynchronous module definition)异步的模块定义 -解决了 Commonjs 不支持异步的缺点,可以在浏览器端运行 - -经典代表:[require.js](https://requirejs.org/) - -使用方法: - -```js -// define来定义模块 -define(id, [depends], callback); -// require进行加载 -require([module], callback); -``` - -示例: - -```js -//提前加载执行顺序 -// RequireJS -define('a', function () { - console.log('a load'); - return { - run: function () { - console.log('a run'); - }, - }; -}); - -define('b', function () { - console.log('b load'); - return { - run: function () { - console.log('b run'); - }, - }; -}); - -require(['a', 'b'], function (a, b) { - console.log('main run'); // 🔥 - a.run(); - b.run(); -}); - -// a load -// b load -// main run -// a run -// b run -``` - -缺点: - -- 在代码运行时,会**先递归的找出所有的依赖**,然后将依赖放到**前面**加载 -- 如果依赖过多,项目可能会变慢,引入成本升高 - -#### 引出的问题: - -- 如果现在 AMD 中兼容 CJS 的代码怎么办? - -```js -define('amdModule', [], (require) => { - const dep1 = require('./dep1'); - const dep2 = require('./dep2'); - // 业务逻辑…… -}); -``` - -### 5.CMD - -CMD(Common Module Definition-通用模块定义)推崇**依赖后置**,也就是**按需执行** -CMD 解决了 AMD**依赖前置**导致的引入成本过高的问题 -整合了 CJS 和 AMD 的特点,浏览器端运行 - -经典代表:[Sea.js](https://seajs.github.io/seajs/docs/) - -```js -// 引入require -var fs = require('fs'); //同步 -require.async('./module3', function (m3) {}); //异步 - -// sea.js,按需引入 -define('a', function (require, exports, module) { - console.log('a load'); - exports.run = function () { - console.log('a run'); - }; -}); - -define('b', function (require, exports, module) { - console.log('b load'); - exports.run = function () { - console.log('b run'); - }; -}); - -define('main', function (require, exports, module) { - console.log('main run'); - var a = require('a'); - a.run(); - var b = require('b'); - b.run(); -}); - -seajs.use('main'); - -// main run -// a load -// a run -// b load -// b run -``` - -缺点: - -- 依赖打包,加载逻辑存在于每个模块中 -- 扩大了模块体积,同时功能上依赖编译 - -### 6.UMD - -UMD (Universal Module Definition)就是一种通用模块定义规范,让你的模块能在所有运行环境中使用,如`CommonJS`, `AMD`, `CMD` - -```js -(function (root, factory) { - if (typeof module === 'object' && typeof module.exports === 'object') { - console.log('是commonjs模块规范,nodejs环境'); - module.exports = factory(); - } else if (typeof define === 'function' && define.amd) { - console.log('是AMD模块规范,如require.js'); - define(factory); - } else if (typeof define === 'function' && define.cmd) { - console.log('是CMD模块规范,如sea.js'); - define(function (require, exports, module) { - module.exports = factory(); - }); - } else { - console.log('没有模块环境,直接挂载在全局对象上'); - root.umdModule = factory(); - } -})(this, function () { - return { - name: '我是一个umd模块', - }; -}); -``` - -### 7.ESM - -ESModule 是伴随着 ES6 推出的原生模块化解决方案 -import 输入、export 输出 - -- 支持异步加载 -- 编译时加载,支持静态分析 -- 更好的支持`chunk`和`tree shaking` -- 支持动态导入(按需加载)`import().then()` -- 支持`import.meta`获取模块元数据 diff --git a/docs/blogs/performance.md b/docs/blogs/performance.md deleted file mode 100644 index bebfc7d..0000000 --- a/docs/blogs/performance.md +++ /dev/null @@ -1,523 +0,0 @@ ---- -nav: - title: Blog -group: - title: 其他 - order: 2 -toc: content -order: 0 ---- - -# 前端性能指标&优化 - -## 参考资料 - -- [从输入 URL 到页面展示到底发生了什么?](https://zhuanlan.zhihu.com/p/133906695) -- [Web 指标-Google](https://web.dev/vitals/) -- [关于 cdn、回源等问题一网打尽](https://juejin.cn/post/6844903604596244493) -- [前端性能优化之 rel=“prefetch“预/懒加载功能](https://blog.csdn.net/weixin_45792953/article/details/112168794) - -## 前置知识 - -从一个经典的面试题引出文章内容: -**输入 url 到页面最终呈现都发生了什么?** - -- URL 解析 - - 判断输入是搜索关键字还是 url 地址,对 url 解析 -- DNS 域名解析获取 IP 地址 - - 缓存查找:浏览器缓存(chrome://net-internals/#dns)->系统缓存(host)->路由器缓存->运营商缓存(IPS)->根域名服务器 - - 向本地 DNS 服务器发送查询报文"query zh.wikipedia.org" - - 本地 DNS 服务器检查自身缓存,存在返回,不存在向根域名服务器发送查询报文"query zh.wikipedia.org",得到顶级域 .org 的顶级域名服务器地址 - - DNS 服务器向 .org 域的顶级域名服务器发送查询报文"query zh.wikipedia.org",得到二级域 .wikipedia.org 的权威域名服务器地址 - - DNS 服务器向 .wikipedia.org 域的权威域名服务器发送查询报文"query zh.wikipedia.org",得到主机 zh 的 A 记录,存入自身缓存并返回给客户端 - - 拓展方向:什么是 CDN?、CDN 回源? -- 根据 IP 地址建立 TCP 链接(三次握手) - - 三次挥手主要是为了`双方确认过信息,可以建立起通信`,见图 1 - - 抽象一点的话,这个过程可以想象成两个人分别站在`山谷的两边`,想要`相互聊天`,但是又不确定自己喊一嗓子之后对方到底能不能听到,然后就双方开始聊天之前先互相喊几嗓子,确认一下双方是不是都可以听到 - - 第一次:主机 A 发给 B 一个标识位 SYN,希望通过该数据告诉主机 B 建立连接 - - 相当于 A 想找 B 聊天,就喊了一个 x 给 B - - 第二次:主机 B 通过一个确认应答的 ACK 和同步序列号 SYN 响应给 A,这样主机 A 通过 ACK 就知道主机 B 接收到了第一次的握手的数据,并且主机 A 通过响应的 SYN 知道了要从那个序列号做标记 - - 相当于 B 听到了 A 喊的 x,知道 A 想聊天,`B不知道A能不能听到自己说话`,然后 B 就把 A 第一次的 x 和自己想说的话 y 一起喊给了 A - - 第三次:主机 A 发送主机 B 响应的 SYN+1,这样主机 B 就知道主机 A 收到了自己的信息,后面就可以传输数据了 - - 然后 A 收到了第一次喊话的 x+1,这样`A就确认了B可以听到自己的话`,然后 A 再把 B 说的话 y+1 喊给 B,这样`B收到A的信息之后就知道A可以听到自己的话`,后面双方就可以愉快的聊天了 -- 发送 http 请求,服务器响应,缓存判断(强缓存|协商缓存) - - 请求:发送命令+发送请求头信息+空白行+请求体(post) - - 响应:响应状态 + 响应头+空白行+响应体 - - 强缓存:cache-control(max-age)、Expires - - 协商缓存:返回 ETag、Last-modified 和请求 IF-none-match、IF-modified-since -- 浏览器解析响应内容并渲染页面,见图 2 - - 解析 HTML,生成 DOM 树 - - 解析 CSS,生成 CSSOM(CSS Object Model) - - 合并 DOM 树和 CSSOM,生成 Render 树 - - 然后交给 Layout 引擎,根据 Render 树信息,获取节点的元素大小和位置等布局信息 - - 然后交给 Paint 引擎,绘制页面像素信息,显示在屏幕上 - - 这个过程并不是一次性完成的,而是可能存在`重复`或`交叉`的情况,比如当遇到 JavaScript 或者动态资源时,可能需要重新构建或更新某些部分。 - - 拓展方向:重排、重绘 - - 重排(reflow):元素的几何尺寸发生变化需要重新计算元素在页面中的位置和大小,这个过程会交给 Layout 引擎,导致整颗 Render 树重新计算,开销较大 - - 重绘(repaint):元素的外观(颜色、背景、边框)发生变化,浏览器需要重新绘制,这个过程触及到 Paint 引擎,直接绘制,执行效率比重排高 -- 连接结束关闭 TCP 链接(四次挥手) - - 抽象层面理解的话,就好比男女朋友分手 - - 第一次:男方想分手,就给女方发一个 FIN 包(表示结束),并等待女方的回答 - - 第二次:女方收到了男方的 FIN 包,就给男方回复了一个 ACK 包(表示确认),告诉他“我知道你想分手了”,但是女方还有一些话想说,不会马上同意分手(表示服务器需要时间处理关闭的逻辑) - - 第三次:女方说完了自己的话(关闭逻辑处理结束),就给男方发一个 FIN 包(表结束),表示自己也同意分手了,并等待男方的回应 - - 第四次:男方收到了 FIN 包,就给女方回一个 ACK 包(表确认),表示自己也同意分手了,并且俩人不再有话说。这样女方听到之后俩人就正式断开了链接 - -三次握手与四次挥手 -![图1.tcp三次握手与四次挥手](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303141548343.png) - -浏览器解析响应内容并渲染页面 -![图2.浏览器解析响应内容并渲染页面](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303141750038.png) - -### 拓展方向 - -#### TCP 与 UDP 的区别? - -- TCP: - - TCP 协议则是`建立在IP协议`之上的。TCP 协议负责在两台计算机之间建立`可靠`连接,保证数据包按`顺序`到达。 - - TCP 协议会通过`三次握手`建立连接,然后,对每个 IP 包编号,确保对方按顺序收到,如果包丢掉了,就自动重发。 - - 许多常用的更高级的协议都是建立在 TCP 协议基础上的,比如用于浏览器的`HTTP`协议、发送邮件的`SMTP`协议等。 - - 一个 TCP 报文除了包含要传输的数据外,还包含源 IP 地址和目标 IP 地址,源端口和目标端口。 -- UDP: - - UDP 则是`面向无连接`的协议,TCP 必须建立可靠的连接 - - 使用 UDP 协议时,`不需要建立连接`,只需要知道对方的 IP 地址和端口号,就可以直接发数据包。但是,能不能到达就不知道了。所以 UDP 传输的数据`不可靠` - - UDP 是`面向报文`的,没有拥塞控制,所以速度快,比较多媒体通讯, - - 如:聊天和视频,支持一对一、一对多、多对一、多对多,如浏览器上的视频聊天 - - 但是现在常见的直播服务,为了提供`稳定`的直播环境,都是采用的 TCP 链接 - -#### HTTP1.0、1.1、2.0 的区别? - -- 1.0 - - 每次 tcp 连接只能发送`一个`请求,当服务器响应后就会关闭这次连接,下一个请求需要`再次建立`TCP 连接 -- 1.1 - - 默认采用`持续链接`(TCP 链接默认不关闭,可以被多个请求复用,不用声明 Connection:keep-alive) - - 增加了`管道机制`,在同一个 TCP 连接里,浏览器允许多个请求同时发送,增加了并发性,进一步改善了 HTTP 协议的效率 - - 但是在同一个 TCP 连接里,所有的数据通信是按`次序`进行的。如果前面有一个请求回应慢,就会有许多请求排队,造成`“队头堵塞”` -- 2.0 - - 加了`双工模式`,即:不仅客户端能够同时发送多个请求,服务端也能同时处理多个请求,解决了队头堵塞的问题 - - 使用了`多路复用`的技术,做到`同一个连接并发处理多个请求`,而且并发请求数量比 http1.1 大了好几个数量级 - - 增加服务器推送的功能,不经请求,服务端主动向客户端发送数据 - -#### HTTP1.1 长连接和 2.0 多路复用的区别? - -- 长连接:同一时间一个 TCP 连接只能处理一个请求,采用`一问一答`的形式,上一个请求响应后才能处理下一个请求,由于`浏览器有最大TCP连接的限制`(6 个),所以有了最大并发请求数的限制。 -- 多路复用:同域名下所有的通信都在`单个TCP`连接上完成,消除了因多个 TCP 连接而带来的延时和内存消耗。单个连接上可以`并行`的请求和响应,之前互不干扰 - -#### 为什么 HTTP1.1 不能实现多路复用? - -- http2.0 是基于`二进制"帧"`的概念,http1.1 是基于`“文本分割”`解析的协议 -- 在 http1.1 的报文结构中,服务器需要不断的读入字节,直到遇到`换行符(br)`,或者说是空白行。处理顺序是`串行`的,一个请求和一个响应需要通过`一问一答`的形式才能对应起来 -- http2.0 中,有两个非常重要的概念,分别是`“帧”和“流”` -- 帧:代表着最小的`数据单位`,每个帧会标识出该帧属于哪个流,流也就是帧组成的数据流 -- 多路复用:就是在每一个`TCP连接中可以存在多条流`。 -- 换句话说,也就是可以发送多个请求,可以通过`帧中的标识`知道属于哪个请求 -- 通过这个技术,可以避免 HTTP 就版本中的`队头堵塞`问题,极大的提高传输性能 - -#### 什么是 CDN?、CDN 回源? - -- CDN 是`内容分发网络`的缩写,它是一种将互联网内容快速传输给用户的技术。CDN 通过在不同地区部署多个服务器,将内容缓存到离用户最近的服务器上,从而`减少延迟和带宽`消耗。 -- CDN 回源是指当 CDN 节点没有缓存用户请求的内容时,需要向源站(原始服务器)请求资源,并`重新设置缓存`的过程。回源可以保证 CDN 节点总是能够提供最新和最完整的内容给用户,但也会增加源站的负载和流量成本。 - -#### JS 中的垃圾回收机制(GC) - -垃圾回收是一站自动管理内存的机制,js 中的 gc 主要有两种算法:引用计数、标记清除 - -- 引用计数:比较早的算法 - - 记录每个对象被引用的次数,当一个对象的引用次数为零时,就可以被释放 - - 缺点:无法处理循环引用的情况 - - 当两个或多个对象相互引用时,他们的引用计数永远不会为零 - 循环引用例子: - -```js -var a = {}; -var b = {}; -a.b = b; -b.a = a; -``` - -- 标记清除:常用的算法,可以处理循环引用问题 - - 遍历所有的对象,标记那些`可达`的对象,然后清除那些不可达的对象 - - 这样即使发生循环引用,但是当他们都不可达了,就会被标记清除算法回收 - -标记清除处理循环引用的例子: - -```js -var a = {}; -var b = {}; -a.b = b; -b.a = a; -a = null; -b = null; -``` - -这里,对象 a 和对象 b 互相引用,但在最后两行,它们都被赋值为 null,不再被任何变量引用。 -如果使用引用计数算法,它们的引用计数仍然为 1,不会被回收。 -但如果使用标记清除算法,它会从全局对象 window)作为根开始遍历所有的对象,发现 a 和 b 都不可达了(因为没有任何变量指向它们),就会把它们标记为垃圾,并在下一次 gc 时清除它们。 - -## 检测工具 - -原理:就是在合适的时机,打上合适的时间戳,或者暴露出事件。然后通过这些时间戳之间的差值,得出⼀个耗时时间。这个耗时时间就可以反映出我们⻚⾯的相关性能。工具如下: - -- API:[window.performance](https://developer.mozilla.org/zh-CN/docs/Web/API/Performance_API) -- 性能监测对象:[PerformanceObserver.observe()](https://developer.mozilla.org/zh-CN/docs/Web/API/PerformanceObserver/observe) -- npm 包:[web-vitals](https://github.com/GoogleChrome/web-vitals) -- 开发者工具:[Lighthouse](https://developer.chrome.com/docs/lighthouse/overview/) - -### 1.performance - -Performance 接口可以获取到当前页面中与性能相关的信息。它是 High Resolution Time API 的一部分,同时也融合了 Performance Timeline API、[Navigation Timing API](https://developer.mozilla.org/en-US/docs/Web/API/Navigation_timing_API)、 [User Timing API](https://developer.mozilla.org/en-US/docs/Web/API/User_Timing_API)和 [Resource Timing API](https://developer.mozilla.org/en-US/docs/Web/API/Resource_Timing_API)。 - -- User Timing API :⽤户⾃⼰定义在代码中通过调⽤ performance.mark(key) ⽅法定义的时间点。 -- Navigation Timing API : 资源请求的时间戳。 -- Navigation Timing API :它⾥⾯包含的是我们从请求开始,到整个⻚⾯的完全显示的各个阶段的时间点,包 - 含了以下: - ![Navigation Timing API](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303151130209.png) - -| key 值 | value 值解释 | -| :------------------------: | :----------------------------------------------------------------------------------------------------------------------------------------------: | -| navigationStart | 当前浏览器窗⼝的前⼀个⽹⻚关闭,发⽣ unload 事件时的时间戳。如果没有前⼀个⽹⻚,就等于 fetchStart(也就是输⼊ URL 开始,第⼀步就是卸载上个⻚⾯) | -| redirectStart | 第⼀次重定向开始时的时间戳,如果没有重定向,或者上次重定向不是同源的,则为 0 | -| redirectEnd | 最后⼀次重定向完成,也就是 Http 响应的最后⼀个字节返回时的时间戳,如果没有重定向,或者上次重定向不是同源的,则为 0 | -| fetchStart | 浏览器准备通过 HTTP 请求去获取⻚⾯的时间戳。在检查应⽤缓存之前发生 | -| domainLookupStart | 域名查询开始时的时间戳。如果使⽤持久连接,或者从本地缓存获取信息的,等同于 fetchStart | -| domainLookupEnd | 域名查询结束时的时间戳。如果使⽤持久连接,或者从本地缓存获取信息的,等同于 fetchStart | -| connectStart | HTTP 请求开始向服务器发送时的时间戳,如果是持久连接,则等同于 fetchStart | -| connectEnd | 浏览器与服务器之间的连接建⽴时的时间戳,连接建⽴指的是所有握⼿和认证过程全部结束 | -| requestStart | 浏览器向服务器发出 HTTP 请求时(或开始读取本地缓存时)的时间戳 | -| responseEnd | 浏览器从服务器收到(或从本地缓存读取)最后⼀个字节时(如果在此之前 HTTP 连接已经关闭,则返回关闭时)的时间戳 | -| domLoading | 当前⽹⻚ DOM 结构开始解析时,也就是 document.readyState 属性变为“loading”、并且相应的 readystatechange 事件触发时的时间戳 | -| domInteractive | 当前⽹⻚ DOM 结构结束解析 | -| domContentLoadedEventStart | 当前⽹⻚ DOMContentLoaded 事件发⽣时,也就是 DOM 结构解析完毕、所有脚本开始运⾏时的时间戳 | -| domContentLoadedEventEnd | 当前⽹⻚ DOMContentLoaded 事件发⽣时,也就是 DOM 结构解析完毕、所有脚本运⾏完成时的时间戳 | -| domComplete | 当前⽹⻚ DOM 结构⽣成时,也就是 Document.readyState 属性变为“complete” | -| loadEventStart | 当前⽹⻚ load 事件的回调函数开始时的时间戳。如果该事件还没有发⽣,返回 0 | -| loadEventEnd | 当前⽹⻚ load 事件的回调函数结束时的时间戳。如果该事件还没有发⽣,返回 0 | - -### 2.performanceObserver - -PerformanceObserver.observe() :指定监测的 `entryTypes` 的集合。 - -当 performance entry 被记录并且是指定的 `entryTypes` 之⼀的时候,性能观察者对象的回调函数会被调⽤。 - -```js -var observer = new PerformanceObserver(callback); - -// 直接往 PerformanceObserver() 入参匿名回调函数 -// 成功 new 了一个 PerformanceObserver 类的,名为 observer 的对象 -var observer = new PerformanceObserver(function (list, obj) { - var entries = list.getEntries(); - for (var i = 0; i < entries.length; i++) { - //处理“mark”和“frame”事件 - } -}); -//调用 observer 对象的 observe() 方法 -observer.observe({ entryTypes: ['mark', 'frame'] }); -``` - -### 3.web-vitals - -⽬前只能统计'CLS' | 'FCP' | 'FID' | 'LCP' | 'TTFB' 。如果需要扩充的话,就可以使⽤上⾯的 Performance 进⾏更改 - -```js -import { getCLS, getFID, getLCP } from 'web-vitals'; - -getCLS(console.log); -getFID(console.log); -getLCP(console.log); -// ... -``` - -### 4.Lighthouse - -使用开发者工具中的`Lighthouse`Tab -或者使用 Node CLI 的方式 - -```js -npm install -g lighthouse -lighthouse -``` - -## 性能指标 - -### 1.白屏时间 FP - -输入 URL 开始,到页面开始有变化,只要有任意像素点的变化,就算是白屏时间完结 - -```js -function getFP() { - new PerformanceObserver((entryList, observer) => { - let entries = entryList.getEntries(); - for (let i = 0; i < entries.length; i++) { - if (entries[i].name === 'first-paint') { - console.log('FP', entries[i].startTime); - } - } - }).observe({ entryTypes: ['paint'] }); -} -``` - -### 2.首次内容绘制时间 FCP - -指的是⻚⾯上绘制了第⼀个元素的时间 - -FP 与 FCP 的最⼤的区别就在于:FP 指的是绘制像素,⽐如说⻚⾯的背景⾊是灰⾊的,那么在显示灰⾊背景时就记录下了 FP 指标。但是此时 DOM 内容还没开始绘制,可能需要⽂件下载、解析等过程,只有当 DOM 内容发⽣变化才会触发,⽐如说渲染出了⼀段⽂字,此时就会记录下 FCP 指标。因此说我们可以把这两个指标认为是和⽩屏时间相关的指标,所以肯定是最快越好。 - -```js -function getFCP() { - new PerformanceObserver((entryList, observer) => { - let entries = entryList.getEntries(); - for (let i = 0; i < entries.length; i++) { - if (entries[i].name === 'first-contentful-paint') { - console.log('FCP', entries[i].startTime); - } - } - }).observe({ entryTypes: ['paint'] }); -} -``` - -### 3.⾸⻚时间 - -当 onload 事件触发的时候,也就是整个⾸⻚加载完成的时候 - -```js -function getFirstPage() { - console.log( - 'FIRSTPAGE', - performance.timing.loadEventEnd - performance.timing.fetchStart, - ); -} -``` - -### 4.最⼤内容绘制 LCP - -⽤于记录视窗内最⼤的元素绘制的时间,该时间会随着⻚⾯渲染变化⽽变化,因为⻚⾯中的最⼤元素在渲染过程中可能会发⽣改变,另外该指标会在⽤户第⼀次交互后停⽌记录。 - -```js -function getLCP() { - new PerformanceObserver((entryList, observer) => { - let entries = entryList.getEntries(); - const lastEntry = entries[entries.length - 1]; - console.log('LCP', lastEntry.renderTime || lastEntry.loadTime); - }).observe({ entryTypes: ['largest-contentful-paint'] }); -} -``` - -### 5.⾸次可交互时间 TTI - -FCP 指标后,首个长任务执行时间点,其后无长任务或 2 个 get 请求。 - -1. 从 FCP 指标后开始计算 -2. 持续 5 秒内⽆⻓任务(执⾏时间超过 50 ms)且⽆两个以上正在进⾏中的 GET 请求 -3. 往前回溯⾄ 5 秒前的最后⼀个⻓任务结束的时间 - -![TTI](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303151150707.png) - -```js -function getTTI() { - let time = performance.timing.domInteractive - performance.timing.fetchStart; - console.log('TTI', time); -} -``` - -### 6.⾸次输⼊延迟 FID - -- 从用户第一次与页面交互到浏览器实际能够开始处理事件的时间,在 FCP(首次内容绘制) 和 TTI (首次可交互时间)之间 -- ⽤户⾸次与⻚⾯交互时响应的延迟 -- eg:点击输入框后,因渲染等引起的延迟 - -```js -function getFID() { - new PerformanceObserver((entryList, observer) => { - let firstInput = entryList.getEntries()[0]; - if (firstInput) { - const FID = firstInput.processingStart - firstInput.startTime; - console.log('FID', FID); - } - }).observe({ type: 'first-input', buffered: true }); -} -``` - -### 7.累计位移偏移 CLS - -- 通过计算未在用户输入 500 毫秒内发生的布局偏移的偏移分数总和来测量内容的不稳定性 -- ⻚⾯渲染过程中突然插⼊⼀张巨⼤的图⽚或者说点击了某个按钮突然动态插⼊了⼀块内容等等相当影响⽤户体验 -- 这个指标就是为这种情况⽽⽣的,计算⽅式为: -- [`位移影响的⾯积 * 位移距离`](https://web.dev/cls/) -- CLS 推荐值为低于 0.1 -- CLS 较差的最常见原因为: - - 无尺寸的图像 - - 无尺寸的广告、嵌入和 iframe - - 动态注入的内容 - - 导致不可见文本闪烁 (FOIT)/无样式文本闪烁 (FOUT) 的网络字体 - - 在更新 DOM 之前等待网络响应的操作 - -![CLS](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303151155600.png) - -```js -function getCLS() { - try { - let cumulativeLayoutShiftScore = 0; - const observer = new PerformanceObserver((list) => { - for (const entry of list.getEntries()) { - // Only count layout shifts without recent user input. - if (!entry.hadRecentInput) { - cumulativeLayoutShiftScore += entry.value; - } - } - }); - observer.observe({ type: 'layout-shift', buffered: true }); - document.addEventListener('visibilitychange', () => { - if (document.visibilityState === 'hidden') { - // Force any pending records to be dispatched. - observer.takeRecords(); - observer.disconnect(); - console.log('CLS:', cumulativeLayoutShiftScore); - } - }); - } catch (e) { - // Do nothing if the browser doesn't support this API. - } -} -``` - -### 8.谷歌标准 - -![指标](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202303151203127.png) - -- LCP(Largest Contentful Paint - 最大内容绘制时间)=> 加载性能 -- FID(First Input Delay - 首次输入延迟)=> 交互性 -- CLS(Cumulative Layout Shift - 累计位移偏移)=> 视觉稳定性 - -### 9.如何使用 - -- vue:定义公用方法类,common.js,mounted 阶段页面进行挂载,$nextTick()里对响应方法进行使用 -- react:hooks useEffect()中使用`react.useEffect(() => {}, []);` -- 公司内部使用打点系统:使用 echars 绘制,使用均值统计、百分位数统计、样本分布统计输出性能 - -## 优化方法 - -### 1.[LCP](https://web.dev/optimize-lcp/) - -影响因素 - -- 缓慢的服务器响应速度 -- 阻塞渲染的 JavaScript 和 CSS -- 缓慢的资源加载速度 -- 客户端渲染 - -提升方法 - -- 提⾼带宽(⽹速) -- 需要使⽤ webpack 进⾏ tree-shaking -- 使⽤路由懒加载,只有在使⽤的时候在进⾏路由加载 -- 部署 CDN,缩短⽤户与节点之间的距离(⽹速) -- 建⽴缓存,提⾼下次加载速度。 -- 开启 gzip 压缩。 -- 不要在头部添加任何 script 标签,或使用 js 异步加载 defer。 -- 对于少量⼩图标(单个尽量不要超过 10K 的),我们可以使⽤ url-loader 打包。或者使⽤将图标转化为字体库,异步进⾏加载。 -- 对于⼤图标的话,需要做到在展示的时候再去加载。也就是当图⽚出现到浏览器窗⼝的时候再去加载,⽽不是⾸屏的图⽚全部加载。 - -### 2.[FID](https://web.dev/optimize-fid/) - -影响因素 - -- 对于⽤户可操作时间,影响⼀个是注册的事件是否可以被执⾏(说的通俗点就是 JS 脚本是否加载完毕),以及是否存在`⻓任务`。 - -提升方法 - -- `分割长任务` -- 对⽂件进⾏`懒加载`,不要⼀次性把所有的 JS 加载出来。这就需要使⽤路由懒加载,在跳转到某个路由的时候,再去加载他的脚本资源。这样就可以保证 JS 加载速度的优化。 -- 不要在响应事件⾥有过多的运算,导致卡顿。如果确有需要,应当开启`webWorker`,新起线程运算。 - -### 3.[CLS](https://web.dev/optimize-cls/) - -影响因素 - -- 无尺寸的图像 -- 无尺寸的广告、嵌入和 iframe -- 动态注入的内容 -- 导致不可见文本闪烁 (FOIT)/无样式文本闪烁 (FOUT) 的网络字体 -- 在更新 DOM 之前等待网络响应的操作 - -提升方法 - -- 设置图片的时候给宽高 -- 预留后续动态插入的内容:骨架屏 -- 如果经常需要变动的元素,脱离⽂档流,或者是占据位置,只是隐藏 -- 文本字体等资源预加载 -- 倾向于选择 transform 动画,而不是触发布局偏移的属性动画 - -## 实战 - -整体优化思路及解析: - -- 从浏览器输入 url 到页面各阶段做了什么,进行性能优化 -- 根据前端性能指标进行优化 -- 框架特有的性能优化点:小程序分包、vue 路由按需加载等 -- 优化方法:开发规范、技术架构设计、系统架构设计 - -### 1.浏览器加载优化 - -#### DNS 预解析、预链接 - -```html - - - - - - - - - - - - - - - - - - -``` - -更多内容见[前端性能优化之 rel=“prefetch“预/懒加载功能](https://blog.csdn.net/weixin_45792953/article/details/112168794) - -#### http 请求阶段 - -- 减少 http 请求合理利用时序:资源合并(雪碧图)、使用 promise.all 并发请求 -- 减少资源体积:减少 cookie 信息、图片格式优化、gzip 静态资源压缩、webpack 打包压缩 -- 合理利用缓存:cdn、http 缓存(强缓存和协商缓存)、本地缓存(localStorage、sessionStorage) - -#### 浏览器渲染阶段:下载 css 并解析、下载 js 文件并解析会影响页面首屏渲染 - -- 减少重排重绘,尽量使用 css 动画,或者添加 will-change 属性 -- script 脚本放在 body 元素中⻚⾯内容的后⾯,避免 JS 阻碍 html 解析,减少⽩屏时间 -- css 文件尽量放在 head 中,尽快下载和解析 -- 使用预解析和异步加载:prefetch、prerender、preload、async、defer -- 服务器端渲染 ssr -- 资源按需引入:路由懒加载,组件库按需引入 - -### 2.技术框架 - -- 路由懒加载 -- 组件按需引入:babel 插件转换 -- webpack 打包优化配置:资源压缩、资源拆分部署至 cdn(externals) -- 小程序:分包加载、setData 操作优化、限频接口调用优化等 - -### 3.架构优化 - -- cdn 预热 -- nginx 缓存配置、gzip 压缩开启 -- ssr 及预渲染 -- 后端 bigpipe 引入:动态网页加载技术 - -### 4.bigpipe 框架 - -[bigPipe](https://github.com/bigpipe/bigpipe)是由 facebook 提出来的⼀种动态⽹⻚加载技术。 -它将⽹⻚分解成称为 pagelets 的⼩块,然后分块传输到浏览器端,进⾏渲染。 -它可以有效地提升⾸屏渲染时间。bigpipe 的适⽤是服务端进⾏渲染,然后将⼀块⼀块的⽂件传递给前端。 diff --git a/docs/blogs/promise.md b/docs/blogs/promise.md deleted file mode 100644 index bf75b65..0000000 --- a/docs/blogs/promise.md +++ /dev/null @@ -1,859 +0,0 @@ ---- -nav: - title: Blog -group: - title: js相关 - order: 0 -order: 0 -toc: content ---- - -# Promise 分析与实现 - -## 一、参考资料 - -- [深入分析 Promise 实现细节](https://juejin.cn/post/6945319439772434469) -- [Promise A+规范](https://promisesaplus.com/#notes) -- [promise v8 源码](https://chromium.googlesource.com/v8/v8/+/3.29.45/src/promise.js) - -## 二、术语 - -- **promise**是一个有 then 方法的对象或者函数 -- **thenable**是一个有 then 方法的对象或者函数 -- **value**是 promise 状态成功时的值,也就是 resolve 的参数, 包括各种数据类型, 也包括 undefined/thenable 或者是 promise -- **reason** 是 promise 状态失败时的值, 也就是 reject 的参数, 表示拒绝的原因 -- **exception**是一个使用 throw 抛出的异常值 - -## 三、Promise States - -promise 应该有**三种状态**. 要注意他们之间的**流转关系**. - -### 1.pending - -1.1 初始的状态, 可改变. -1.2 一个 promise 在 resolve 或者 reject 前都处于这个状态。 -1.3 可以通过 resolve -> fulfilled 状态; -1.4 可以通过 reject -> rejected 状态; - -### 2.fulfilled - -2.1 最终态, 不可变. -2.2 一个 promise 被 resolve 后会变成这个状态. -2.3 必须拥有一个 value 值 - -### 3.rejected - -3.1 最终态, 不可变. -3.2 一个 promise 被 reject 后会变成这个状态 -3.3 必须拥有一个 reason - -Tips: 总结一下, 就是 promise 的状态流转是这样的 - -pending -> resolve(value) -> fulfilled -pending -> reject(reason) -> rejected - -## 四、Then 方法 - -promise 应该提供一个 then 方法, 用来访问最终的结果, 无论是 value 还是 reason. - -```js -promise.then(onFulfilled, onRejected); -``` - -### 1.参数要求 - -1.1 onFulfilled 必须是**函数类型,** 如果不是函数, 应该被忽略. -1.2 onRejected 必须是**函数类型**, 如果不是函数, 应该被忽略. - -### 2.onFulfilled 特性 - -2.1 在 promise 变成 fulfilled 时,应该调用 onFulfilled, 参数是 value -2.2 在 promise 变成 fulfilled 之前, 不应该被调用. -2.3 只能被**调用一次** (所以在实现的时候需要一个变量来限制执行次数) - -### 3.onRejected 特性 - -3.1 在 promise 变成 rejected 时,应该调用 onRejected, 参数是 reason -3.2 在 promise 变成 rejected 之前, 不应该被调用. -3.3 只能被**调用一次**(所以在实现的时候需要一个变量来限制执行次数) - -### 4.onFulfilled 和 onRejected 应该是**微任务** - -这里用**queueMicrotask**来实现微任务的调用. - -### 5.then 方法可以被**调用多次** - -5.1 promise 状态变成 fulfilled 后,所有的 onFulfilled 回调都需要按照**then 的顺序执行**, 也就是按照注册顺序执行(所以在实现的时候需要一个**数组来存放**多个 onFulfilled 的回调) -5.2 promise 状态变成 rejected 后,所有的 onRejected 回调都需要按照**then 的顺序执行**, 也就是按照注册顺序执行(所以在实现的时候需要一个**数组来存放**多个 onRejected 的回调) - -### 6.返回值 - -- then 应该返回一个 promise - -```js -promise2 = promise1.then(onFulfilled, onRejected); -``` - -6.1 onFulfilled 或 onRejected 执行的结果为 x, 调用 **resolvePromise** -6.2 如果 **onFulfilled 或者 onRejected 执行时抛出异常 e,** promise2 需要被 reject -6.3 如果 onFulfilled 不是一个函数, promise2 以 promise1 的 value 触发 fulfilled -6.4 如果 onRejected 不是一个函数, promise2 以 promise1 的 reason 触发 rejected - -### 7.resolvePromise - -```js -resolvePromise(promise2, x, resolve, reject); -``` - -- 如果 **promise2 和 x 相等**,那么**reject TypeError,防止循环引用,造成死循环** -- 如果 x **是一个 promise** - - 如果 x 是 pending 态,那么 promise 必须要在 pending,直到 x 变成 fulfilled or rejected. - - 如果 x 被 fulfilled, 用相同的 value 执行 promise - - 如果 x 被 rejected, 用相同的 reason 拒绝 promise -- 如果 x**是一个 object 或者 是一个 function** - - 首先取出 then,let then = x.then. - - 如果**x.then 这步出错**,那么 reject(e) - - 如果**then 是一个函数**,then.call(x, resolvePromiseFn, rejectPromiseFn) - - resolvePromiseFn 的 入参是 y, 执行 resolvePromise(promise2, y, resolve, reject); - - rejectPromiseFn 的 入参是 r, resolvePromise(promise2, r, resolve, reject) - - 如果 resolvePromise 和 rejectPromise 都调用了,那么第一个调用优先,后面的调用忽略。使用 called 标识 - - 如果调用 then 抛出异常 e - - 如果 resolvePromise 或 rejectPromise 已经被调用,那么忽略 -- 如果 then 不是一个 function. resolve(x) - -## 五、实现 promise - -### 1.定义并设置三种状态,传入执行器 exec - -```js -const PENDING = 'pending'; -const FULFILLED = 'fulfilled'; -const REJECTED = 'rejected'; - -class MyPromise { - constructor(exec) { - this.status = PENDING; - this.value = null; - this.reason = null; - - // 执行器传入后立即执行 - exec(); - } -} -``` - -### 2.为 exec 添加 reject 和 resolve 方法,执行回调 - -```js -const PENDING = 'pending'; -const FULFILLED = 'fulfilled'; -const REJECTED = 'rejected'; - -class MyPromise { - constructor(exec) { - this.status = PENDING; - this.value = null; - this.reason = null; - - // resolve和reject被回调的时候,状态流转 - // 这里使用箭头函数,绑定resolve和reject的this始终指向MyPromise - let resolve = (value) => { - if (this.status === PENDING) { - this.status = FULFILLED; - this.value = value; - } - }; - - let reject = (reason) => { - if (this.status === PENDING) { - this.status = REJECTED; - this.reason = reason; - } - }; - // 若执行器报错,直接reject出去 - try { - // 执行器传入后立即执行 - exec(resolve, reject); - } catch (error) { - reject(error); - } - } -} -``` - -### 3.简单实现 then 方法 - -```js -then(onFulfilled, onRejected) { - if (this.status === FULFILLED) { - // 调用成功回调,并且把值返回 - onFulfilled(this.value); - } else if (this.status === REJECTED) { - // 调用失败回调,并且把原因返回 - onRejected(this.reason); - } -} -``` - -到这个地方一个简单的 promise 的骨架已经形成了,写一个测试检查一下 - -```js -const promise = new MyPromise((resolve, reject) => { - resolve('success'); - reject('err'); - // 如果这里使用异步的方法,上述的then是感觉不到的 - // setTimeout(() => { - // resolve('success') - // }) -}); - -promise.then( - (value) => { - console.log('resolve', value); - }, - (reason) => { - console.log('reject', reason); - }, -); - -// 输出: resolve success -``` - -### 4.添加 then 方法的对异步的处理 - -> 思考:为什么使用异步的方法就感受不到了呢? -> 上面的写法, 是在 then 函数被调用的瞬间就会执行. -> 那这时候如果 status 还没变成 fulfilled 或者 rejected 怎么办, 很有可能还是 pending 的 -> 那么我们首先要拿到所有的回调, 然后才能在某个时机去执行他. -> 新建两个数组, 来分别存储成功和失败的回调, 调用 then 的时候, 如果还是 pending 就存入数组 - -```js -class MyPromise { - constructor(exec) { - this.status = PENDING; - this.value = null; - this.reason = null; - - this.resolveCallbacks = []; - this.rejectCallbacks = []; - - // resolve和reject被回调的时候,状态流转 - // 这里使用箭头函数,绑定resolve和reject的this始终指向MyPromise - let resolve = (value) => { - if (this.status === PENDING) { - this.status = FULFILLED; - this.value = value; - this.resolveCallbacks.forEach((fn) => fn()); - } - }; - - let reject = (reason) => { - if (this.status === PENDING) { - this.status = REJECTED; - this.reason = reason; - this.rejectCallbacks.forEach((fn) => fn()); - } - }; - - // 若执行器报错,直接reject出去 - try { - // 执行器传入后立即执行 - exec(resolve, reject); - } catch (error) { - reject(error); - } - } - - then(onFulfilled, onRejected) { - if (this.status === FULFILLED) { - // 调用成功回调,并且把值返回 - onFulfilled(this.value); - } else if (this.status === REJECTED) { - // 调用失败回调,并且把原因返回 - onRejected(this.reason); - } else if (this.status === PENDING) { - this.resolveCallbacks.push(onFulfilled); - this.rejectCallbacks.push(onRejected); - } - } -} -``` - -### 5.完善 then 方法-(链式调用) - -1. onFulfilled 和 onRejected 如果不是函数,就返回原 value 或 reason -2. then 方法返回一个 promise 对象 - 1. onFulfilled 或 onRejected 执行的结果是 x,调用 resolvePromise - 2. 如果 onFulfilled 或者 onRejected 执行时抛出异常 e,promise2 需要被 reject,其 reason 为 e -3. onFulfilled 和 onRejected 是微任务,需要使用 queueMicrotask 或者 setTimeout 包裹 - -```js -isFunction(params) { - return typeof params === 'function'; -} - -then(onFulfilled, onRejected) { - // 1.onFulfilled和onRejected如果不是函数,就返回原value或reason - const fulFilledFn = this.isFunction(onFulfilled) ? onFulfilled : value => value; - const rejectedFn = this.isFunction(onRejected) ? onRejected : reason => { throw reason }; - - // 2.then方法返回一个promise对象 - const p2 = new MyPromise((resolve, reject) => { - if (this.status === FULFILLED) { - // fulFilledFn(this.value) - // 3.3. onFulfilled和onRejected是微任务,需要使用queueMicrotask或者setTimeout包裹 - queueMicrotask(() => { - // 2.2 如果onFulfilled或者onRejected执行时抛出异常e,promise2需要被reject,其reason为e - try { - // 2.1 onFulfilled或onRejected执行的结果是x,调用resolvePromise - // 获取成功回调函数的执行结果 - const x = fulFilledFn(this.value); - // 传入 resolvePromise 集中处理 - this.resolvePromise(p2, x, resolve, reject); - } catch (e) { - reject(e); - } - }) - } else if (this.status === REJECTED) { - // rejectedFn(this.reason); - queueMicrotask(() => { - try { - const x = rejectedFn(this.value); - // 传入 resolvePromise 集中处理 - this.resolvePromise(x, resolve, reject); - } catch (e) { - reject(e); - } - }) - } else if (this.status === PENDING) { - this.resolveCallbacks.push(() => { - queueMicrotask(() => { - try { - const x = fulFilledFn(this.value); - // 传入 resolvePromise 集中处理 - this.resolvePromise(x, resolve, reject); - } catch (e) { - reject(e); - } - }) - }); - this.rejectCallbacks.push(() => { - queueMicrotask(() => { - try { - const x = rejectedFn(this.value); - // 传入 resolvePromise 集中处理 - this.resolvePromise(x, resolve, reject); - } catch (e) { - reject(e); - } - }) - }); - } - }); - return p2; -} - -resolvePromise(x, resolve, reject) { - // 判断x是不是 MyPromise 实例对象 - if (x instanceof MyPromise) { - // 执行 x,调用 then 方法,目的是将其状态变为 fulfilled 或者 rejected - // x.then(value => resolve(value), reason => reject(reason)) - // 简化之后 - x.then(resolve, reject); - } else { - // 普通值 - resolve(x); - } -} -``` - -发现上面 promise2 中很多重复的代码,进行抽离 - -```js -then(onFulfilled, onRejected) { - // 1.onFulfilled和onRejected如果不是函数,就返回原value或reason - const fulFilledFn = this.isFunction(onFulfilled) ? onFulfilled : value => value; - const rejectedFn = this.isFunction(onRejected) ? onRejected : reason => { throw reason }; - - // 2.then方法返回一个promise对象 - const p2 = new MyPromise((resolve, reject) => { - - const fulfilledMicrotask = () => { - // 3.3. onFulfilled和onRejected是微任务,需要使用queueMicrotask或者setTimeout包裹 - queueMicrotask(() => { - // 2.2 如果onFulfilled或者onRejected执行时抛出异常e,promise2需要被reject,其reason为e - try { - // 2.1 onFulfilled或onRejected执行的结果是x,调用resolvePromise - // 获取成功回调函数的执行结果 - const x = fulFilledFn(this.value); - // 传入 resolvePromise 集中处理 - this.resolvePromise(p2, x, resolve, reject); - } catch (e) { - reject(e); - } - }) - } - - const rejectedMicrotask = () => { - queueMicrotask(() => { - try { - const x = rejectedFn(this.reason); - // 传入 resolvePromise 集中处理 - this.resolvePromise(p2, x, resolve, reject); - } catch (e) { - reject(e); - } - }) - } - - if (this.status === FULFILLED) { - // fulFilledFn(this.value) - fulfilledMicrotask(); - } else if (this.status === REJECTED) { - // rejectedFn(this.reason); - rejectedMicrotask(); - } else if (this.status === PENDING) { - this.resolveCallbacks.push(fulfilledMicrotask); - this.rejectCallbacks.push(rejectedMicrotask); - } - }); - - return p2; -} -``` - -### 6.完善 resolvePromise 的处理 - -其实整体的处理逻辑与原来相似,不过是对边界情况更加细化了 - -```js -resolvePromise(x, resolve, reject) { - // 判断x是不是 MyPromise 实例对象 - if (x instanceof MyPromise) { - // 执行 x,调用 then 方法,目的是将其状态变为 fulfilled 或者 rejected - // x.then(value => resolve(value), reason => reject(reason)) - // 简化之后 - x.then(resolve, reject); - } else { - // 普通值 - resolve(x); - } -} -``` - ---- - -```js -resolvePromise(promise2, x, resolve, reject); -``` - -- 防止循环引用,这里要给 resolvePromise 函数签名加一个新参数,判断 promise2 和 x 是否为同一个 promise -- 如果 x**是一个 object 或者 是一个 function** - - 如果 x 是 null,直接 resolve(x)出去 - - 然后取出 then,let then = x.then. - - 如果**x.then 这步出错**,那么 reject(e) - - 如果**then 是一个函数**,then.call(x, resolvePromiseFn, rejectPromiseFn) - - resolvePromiseFn 的入参是 y, 如果被调用,执行**resolvePromise(promise2, y, resolve, reject);** - - rejectPromiseFn 的入参是 r, 如果被调用,**执行 reject(r)** - - 如果 resolvePromise 和 rejectPromise 都调用了,那么第一个调用优先,后面的调用忽略。使用**called**标识 - - 如果调用 then 抛出异常 e - - 如果 resolvePromise 或 rejectPromise 已经被调用,那么忽略,if(called) return - - 如果 then 不是一个 function. resolve(x) - -```js -resolvePromise(promise2, x, resolve, reject) { - if (promise2 === x) { - throw new TypeError('循环引用') - } - - if (typeof x === 'object' || typeof x === 'function') { - if (x === null) { - return resolve(x); - } - let then; - - try { - then = x.then; - } catch (e) { - return reject(e); - } - if (typeof then === 'function') { - let called = false; - try { - then.call(x, y => { - if (called) return; - called = true; - this.resolvePromise(promise2, y, resolve, reject) - }, r => { - if (called) return; - called = true; - reject(r); - }) - } catch (e) { - if (called) return; - reject(e); - } - } else { - resolve(x); - } - } else { - resolve(x); - } -} -``` - -### 7.添加 resolve、reject、catch 静态方法 - -```js -static resolve(params) { - if (params instanceof MyPromise) { - return params; - } - return new MyPromise((resolve, reject) => { - resolve(params); - }) - } - -static reject(reason) { - return new MyPromise((resolve, reject) => { - reject(reason); - }) -} - -catch(onRejected){ - return this.then(null, onRejected) -} -``` - -### 8.实现 race、all、allSettled 方法 - -`const p = Promise.race([p1, p2, p3]);` -该方法是将多个 Promise 实例,包装成一个新的 Promise 实例。 -只要 p1、p2、p3 之中有一个实例率先改变状态,p 的状态就跟着改变。 -那个率先改变的 Promise 实例的返回值,就传递给 p 的回调函数。 - -```js -static race(promises) { - if (!Array.isArray(promises)) { - throw new TypeError('arguments must be an array') - } - return new MyPromise((resolve, reject) => { - if (promises.length === 0) { - return resolve(); - } - for (let i = 0; i < promises.length; i++) { - MyPromise.resolve(promises[i]).then(resolve, reject); - } - }) -} - -static all(promises) { - return new MyPromise((resolve, reject) => { - if (!Array.isArray(promises)) { - throw new TypeError('arguments must be an array') - } - if (promises.length === 0) { - return resolve([]); - } - let result = []; - let count = 0; - for (let i = 0; i < promises.length; i++) { - MyPromise.resolve(promises[i]).then(value => { - result[i] = value; - count++; - if (count === promises.length) { - resolve(result); - } - }, reject); - } - }) -} - -// 返回所有promise的状态和结果 -static allSettled(promises) { - return new MyPromise((resolve, reject) => { - if (!Array.isArray(promises)) { - throw new TypeError('arguments must be an array') - } - let count = 0; - let result = []; - - for (let i = 0; i < promises.length; i++) { - MyPromise.resolve(promises[i]).then(value => { - result[i] = { - status: 'fulfilled', - value - } - count++; - if (count === promises.length) { - resolve(result); - } - }, reason => { - result[i] = { - status: 'rejected', - reason - } - count++; - if (count === promises.length) { - resolve(result); - } - }) - } - }) -} -``` - -## 六、使用 promises-aplus-tests 进行测试 - -```js -// npm i promises-aplus-tests -g -// 命令行执行 => promises-aplus-tests [待测试文件] 即可验证 -MyPromise.deferred = function () { - var result = {}; - result.promise = new MyPromise(function (resolve, reject) { - result.resolve = resolve; - result.reject = reject; - }); - - return result; -}; -module.exports = MyPromise; -``` - -## 七、完整代码 - -```js -const PENDING = 'pending'; -const FULFILLED = 'fulfilled'; -const REJECTED = 'rejected'; - -class MyPromise { - constructor(exec) { - this.status = PENDING; - this.value = null; - this.reason = null; - - this.resolveCallbacks = []; - this.rejectCallbacks = []; - - // resolve和reject被回调的时候,状态流转 - // 这里使用箭头函数,绑定resolve和reject的this始终指向MyPromise - let resolve = (value) => { - if (this.status === PENDING) { - this.status = FULFILLED; - this.value = value; - this.resolveCallbacks.forEach((fn) => fn()); - } - }; - - let reject = (reason) => { - if (this.status === PENDING) { - this.status = REJECTED; - this.reason = reason; - this.rejectCallbacks.forEach((fn) => fn()); - } - }; - // 若执行器报错,直接reject出去 - try { - // 执行器传入后立即执行 - exec(resolve, reject); - } catch (error) { - reject(error); - } - } - - isFunction(params) { - return typeof params === 'function'; - } - - then(onFulfilled, onRejected) { - // 1.onFulfilled和onRejected如果不是函数,就返回原value或reason - const fulFilledFn = this.isFunction(onFulfilled) - ? onFulfilled - : (value) => value; - const rejectedFn = this.isFunction(onRejected) - ? onRejected - : (reason) => { - throw reason; - }; - - // 2.then方法返回一个promise对象 - const p2 = new MyPromise((resolve, reject) => { - const fulfilledMicrotask = () => { - // 3.3. onFulfilled和onRejected是微任务,需要使用queueMicrotask或者setTimeout包裹 - queueMicrotask(() => { - // 2.2 如果onFulfilled或者onRejected执行时抛出异常e,promise2需要被reject,其reason为e - try { - // 2.1 onFulfilled或onRejected执行的结果是x,调用resolvePromise - // 获取成功回调函数的执行结果 - const x = fulFilledFn(this.value); - // 传入 resolvePromise 集中处理 - this.resolvePromise(p2, x, resolve, reject); - } catch (e) { - reject(e); - } - }); - }; - - const rejectedMicrotask = () => { - queueMicrotask(() => { - try { - const x = rejectedFn(this.reason); - // 传入 resolvePromise 集中处理 - this.resolvePromise(p2, x, resolve, reject); - } catch (e) { - reject(e); - } - }); - }; - - if (this.status === FULFILLED) { - // fulFilledFn(this.value) - fulfilledMicrotask(); - } else if (this.status === REJECTED) { - // rejectedFn(this.reason); - rejectedMicrotask(); - } else if (this.status === PENDING) { - this.resolveCallbacks.push(fulfilledMicrotask); - this.rejectCallbacks.push(rejectedMicrotask); - } - }); - - return p2; - } - - resolvePromise(promise2, x, resolve, reject) { - if (promise2 === x) { - throw new TypeError('Chaining cycle '); - } - - if (typeof x === 'object' || typeof x === 'function') { - if (x === null) { - return resolve(x); - } - let then; - - try { - then = x.then; - } catch (e) { - return reject(e); - } - if (typeof then === 'function') { - let called = false; - try { - then.call( - x, - (y) => { - if (called) return; - called = true; - this.resolvePromise(promise2, y, resolve, reject); - }, - (r) => { - if (called) return; - called = true; - reject(r); - }, - ); - } catch (e) { - if (called) return; - reject(e); - } - } else { - resolve(x); - } - } else { - resolve(x); - } - } - - static resolve(params) { - if (params instanceof MyPromise) { - return params; - } - return new MyPromise((resolve, reject) => { - resolve(params); - }); - } - - static reject(reason) { - return new MyPromise((resolve, reject) => { - reject(reason); - }); - } - - catch(onRejected) { - return this.then(null, onRejected); - } - - static race(promises) { - if (!Array.isArray(promises)) { - throw new TypeError('arguments must be an array'); - } - return new MyPromise((resolve, reject) => { - if (promises.length === 0) { - return resolve(); - } - for (let i = 0; i < promises.length; i++) { - MyPromise.resolve(promises[i]).then(resolve, reject); - } - }); - } - - static all(promises) { - return new MyPromise((resolve, reject) => { - if (!Array.isArray(promises)) { - throw new TypeError('arguments must be an array'); - } - if (promises.length === 0) { - return resolve([]); - } - let result = []; - let count = 0; - for (let i = 0; i < promises.length; i++) { - MyPromise.resolve(promises[i]).then((value) => { - result[i] = value; - count++; - if (count === promises.length) { - resolve(result); - } - }, reject); - } - }); - } - - static allSettled(promises) { - return new MyPromise((resolve, reject) => { - if (!Array.isArray(promises)) { - throw new TypeError('arguments must be an array'); - } - let count = 0; - let result = []; - - for (let i = 0; i < promises.length; i++) { - MyPromise.resolve(promises[i]).then( - (value) => { - result[i] = { - status: 'fulfilled', - value, - }; - count++; - if (count === promises.length) { - resolve(result); - } - }, - (reason) => { - result[i] = { - status: 'rejected', - reason, - }; - count++; - if (count === promises.length) { - resolve(result); - } - }, - ); - } - }); - } -} -``` diff --git a/docs/data-structure/01_stack.md b/docs/data-structure/01_stack.md deleted file mode 100644 index 8dbebfa..0000000 --- a/docs/data-structure/01_stack.md +++ /dev/null @@ -1,191 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 1 ---- - -# 栈(stack) - -## 一、介绍 - -**数组**是一个**线性结构**,并且可以在数组的任意位置**插入**和**删除**元素。 但是有时候,我们为了实现某些功能,必须对这种任意性加以限制。 **栈和队列**就是比较常见的**受限的线性结构**。 - -特点: - -- 栈是`后进先出`(last in first out)的,就是后进入的元素,先出栈。类似于自动餐托盘,最后放上的托盘,往往先拿出去使用 -- 栈的最上面的元素被称为`栈顶`,栈的最内的元素,被称为`栈底` -- 向一个栈插入新元素又称作`进栈`、入栈或压栈,它是把新元素放到栈顶元素的上面,使之成为新的栈顶元素 -- 从一个栈删除元素又称作`出栈`或退栈,它是把栈顶元素删除掉,使其相邻的元素成为新的栈顶元素 - -如图所示: - -
- -
-
- -## 二、程序中的栈 - -- **函数调用栈**:A(B(C(D()))): 即 A 函数中调用 B,B 调用 C,C 调用 D;在 A 执行的过程中会将 A 压入栈,随后 B 执行时 B 也被压入栈,函数 C 和 D 执行时也会被压入栈。所以当前栈的顺序为:A->B->C->D(栈顶);函数 D 执行完之后,会弹出栈被释放,弹出栈的顺序为 D->C->B->A; -- **递归**: 为什么没有停止条件的递归会造成栈溢出?比如函数 A 为递归函数,不断地调用自己(因为函数还没有执行完,不会把函数弹出栈),不停地把相同的函数 A 压入栈,最后造成**栈溢出(Queue OverFloat)**。 - -## 三、练习 - -题目:有 6 个元素 6,5,4,3,2,1 按顺序进栈,问下列哪一个不是合法的出栈顺序? - -- A:5 4 3 6 1 2 (√) -- B:4 5 3 2 1 6 (√) -- C:3 4 6 5 2 1 (×) -- D:2 3 4 1 5 6 (√) - -题目所说的按顺序进栈指的不是一次性全部进栈,而是有进有出,进栈顺序为 6 -> 5 -> 4 -> 3 -> 2 -> 1。 - -解析: - -- A 答案:65 进栈,5 出栈,4 进栈出栈,3 进栈出栈,6 出栈,21 进栈,1 出栈,2 出栈(整体入栈顺序符合 654321)。 -- B 答案:654 进栈,4 出栈,5 出栈,3 进栈出栈,2 进栈出栈,1 进栈出栈,6 出栈(整体的入栈顺序符合 654321)。 -- C 答案:6543 进栈,3 出栈,4 出栈,之后应该 5 出栈而不是 6,所以错误。 -- D 答案:65432 进栈,2 出栈,3 出栈,4 出栈,1 进栈出栈,5 出栈,6 出栈。符合入栈顺序。 - -## 四、实现栈结构 - -### 栈常见的操作 - -- `push()` 添加一个新元素到栈顶位置。 -- `pop()` 移除栈顶的元素,同时返回被移除的元素。 -- `peek()` 返回栈顶的元素,不对栈做任何修改(该方法不会移除栈顶的元素,仅仅返回它)。 -- `isEmpty()` 如果栈里没有任何元素就返回 `true`,否则返回 `false`。 -- `size()` 返回栈里的元素个数。这个方法和数组的 `length` 属性类似。 -- `toString()` 将栈结构的内容以字符串的形式返回。 - -### 代码实现 - -```js -function Stack() { - this.items = []; - - // 1.入栈 - Stack.prototype.push = function (element) { - return this.items.push(element); - }; - - // 2.出栈 - Stack.prototype.pop = function () { - return this.items.pop(); - }; - - // 3.查看栈顶元素 - Stack.prototype.peek = function () { - return this.items[this.items.length - 1]; - }; - - // 4.判断栈是否为空 - Stack.prototype.isEmpty = function () { - return this.items.length === 0; - }; - - // 5.返回栈的长度 - Stack.prototype.size = function () { - return this.items.length; - }; - - // 6.toString方法 - Stack.prototype.toString = function () { - // 返回格式如: 10 20 30 等 - var resString = ''; - for (var i = 0; i < this.items.length; i++) { - resString += this.items[i] + ' '; - } - return resString; - }; -} -``` - -### 测试代码 - -```js -var stack = new Stack(); -stack.push('10'); -stack.push('20'); -stack.push('30'); -console.log(stack.items); // [ '10', '20', '30' ] - -stack.pop(); -console.log(stack.items); // [ '10', '20' ] - -console.log(stack.peek()); // 20 -console.log(stack.isEmpty()); // false -console.log(stack.size()); // 2 -console.log(stack.toString()); // 10 20 -``` - -## 五、应用 - -### 1.利用栈结构的特点封装实现十进制转换为二进制的方法 - -```js -// 十进制转二进制 -function dec2bin(decNumber) { - var stack = new Stack(); - while (decNumber > 0) { - stack.push(decNumber % 2); - decNumber = Math.floor(decNumber / 2); - } - - var binaryString = ''; - while (!stack.isEmpty()) { - binaryString += stack.pop(); - } - return binaryString; -} -console.log(dec2bin(100)); // 110010 -``` - -### 2.[有效的括号](/js-logs/stack#20有效的括号) - -- 解题思路: -- 使用栈结构先进后出的特性 -- 先声明一个栈 stack 变量 -- 遍历整个字符串 -- 发现 ( 、 {、 [ 就入栈 -- 发现 )、}、] 就和栈顶做比较,若栈顶存在对应的括号,将与之对应的括号出栈 -- 遍历结束后,若栈空,则说明所有括号都能找到相匹配的 - -```js -/** - * @param {string} s - * @return {boolean} - */ -var isValid = function (s) { - if (s.length % 2 === 1) { - return false; - } - var stack = []; - var length = s.length; - var map = new Map(); - map.set('(', ')'); - map.set('{', '}'); - map.set('[', ']'); - - for (var i = 0; i < length; i++) { - var c = s[i]; - if (map.has(c)) { - stack.push(c); - } else { - var stackTop = stack[stack.length - 1]; - if (map.get(stackTop) === c) { - // 栈顶元素出栈 - stack.pop(); - } else { - // 栈顶元素与当前元素不匹配 “})” "])" return - return false; - } - } - } - return stack.length === 0 ? true : false; -}; -``` diff --git a/docs/data-structure/02_queue.md b/docs/data-structure/02_queue.md deleted file mode 100644 index 373059e..0000000 --- a/docs/data-structure/02_queue.md +++ /dev/null @@ -1,249 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 2 ---- - -# 队列(queue) - -## 一、介绍 - -队列是一种特殊的线性表,生活中类似队列结构的场景: - -- 排队,比如在电影院,商场,甚至是厕所排队。 -- 优先排队的人,优先处理。 (买票、结账、WC)。 - -如图所示: - -
- -
生活中的队列
-
- -队列的限制 - -- `先进先出` (FIFO:First In First Out) -- 只允许在表的前端(front)进行删除操作 -- 只允许在表的后端(rear)进行插入操作 - -如图所示: - -
- -
队列
-
- -## 二、程序中的队列 - -- 打印队列:计算机打印多个文件的时候,需要排队打印 -- 线程队列:当开启多线程时,当新开启的线程所需的资源不足时就先放入线程队列,等待 CPU 处理 - -## 三、队列的实现 - -队列有两种实现方式,这里就基于数组方式实现了 - -- 基于数组实现 -- 基于链表实现 - -### 队列常见的操作 - -- `enqueue(element)` 向队列尾部添加一个(或多个)新的项 -- `dequeue()` 移除队列的第一(即排在队列最前面的)项,并返回被移除的元素 -- `front()` 返回队列中的第一个元素——最先被添加,也将是最先被移除的元素。队列不做任何变动(不移除元素,只返回元素信息与 Map 类的 peek 方法非常类似) -- `isEmpty()` 如果队列中不包含任何元素,返回 true,否则返回 false -- `size()` 返回队列包含的元素个数,与数组的 length 属性类似 -- `toString()` 将队列中的内容,转成字符串形式 - -### 代码实现 - -#### 1.普通队列 - -```js -function Queue() { - this.items = []; - - // 1.将元素加入队列 - Queue.prototype.enqueue = function (element) { - return this.items.push(element); - }; - - // 2.从队列中删除元素 - Queue.prototype.dequeue = function () { - return this.items.shift(); - }; - - // 3.查看前端的元素 - Queue.prototype.front = function () { - return this.items[0]; - }; - - // 4.查看队列是否为空 - Queue.prototype.isEmpty = function () { - return this.items.length === 0; - }; - - // 5.查看队列元素个数 - Queue.prototype.size = function () { - return this.items.length; - }; - - // 6.toString方法 - Queue.prototype.toString = function () { - // 返回格式如: 10 20 30 等 - var resString = ''; - for (var i = 0; i < this.items.length; i++) { - resString += this.items[i] + ' '; - } - return resString; - }; -} -``` - -#### 测试代码 - -```js -var q = new Queue(); -q.enqueue('10'); -q.enqueue('20'); -q.enqueue('30'); -console.log(q.items); // [ '10', '20', '30' ] - -q.dequeue(); -console.log(q.items); // [ '20', '30' ] - -console.log(q.front()); // 20 -console.log(q.isEmpty()); // false -console.log(q.size()); // 2 -console.log(q.toString()); // 20 30 -``` - -#### 2.优先级队列 - -> 优先级队列,在队列的基础上,增加优先级 -> -> 其实就是在元素`入队时`,`根据传入的优先级,找到合适的位置`,并插入 - -```js -function PriorityQueue() { - // 内部类 也可以用对象存放 - function QueueElement(element, priority) { - this.element = element; - this.priority = priority; - } - - this.item = []; - - // 1.将元素加入队列 - PriorityQueue.prototype.enqueue = function (element, priority) { - var queueElement = new QueueElement(element, priority); - // 如果数组为空,将直接push - if (this.item.length === 0) { - this.item.push(queueElement); - } else { - var added = false; - for (var i = 0; i < this.item.length; i++) { - // 若发现优先级比较大 - if (queueElement.priority < this.item[i].priority) { - // 插入进去 - this.item.splice(i, 0, queueElement); - added = true; - break; - } - } - - // 若没有执行过插入,说明优先级比较小,直接push - if (!added) { - this.item.push(queueElement); - } - } - }; - - // 2.从队列中删除元素 - PriorityQueue.prototype.dequeue = function () { - return this.items.shift(); - }; - - // 3.查看前端的元素 - PriorityQueue.prototype.front = function () { - return this.items[0]; - }; - - // 4.查看队列是否为空 - PriorityQueue.prototype.isEmpty = function () { - return this.items.length === 0; - }; - - // 5.查看队列元素个数 - PriorityQueue.prototype.size = function () { - return this.items.length; - }; - - // 6.toString方法 - PriorityQueue.prototype.toString = function () { - // 返回格式如: 10 20 30 等 - var resString = ''; - for (var i = 0; i < this.items.length; i++) { - resString += this.items[i] + ' '; - } - return resString; - }; -} -``` - -## 四、应用 - -### 1.击鼓传花 - -```js -const Queue = require('./queue'); - -/** - * 击鼓传花游戏规则: - * 几个朋友一起玩一个游戏,围成一圈,开始数数,数到某个数字的人自动淘汰 - * 最后剩下的这个人会获得胜利,请问:最后胜利者原来在哪一个位置上 - */ -let names = ['小明', '小红', '小亮']; -function passGame(nameList, stopNum = 1) { - let q = new Queue(); - for (const item of nameList) { - q.enqueue(item); - } - - while (q.size() > 1) { - for (let i = 0; i < stopNum - 1; i++) { - q.enqueue(q.dequeue()); - } - q.dequeue(); - } - console.log('最后剩下的人是:', q.front()); // 最后剩下的人是: 小红 - return nameList.indexOf(q.front()); //返回对应的位置 -} - -console.log(passGame(names, 3)); // 1 -``` - -### 2.[最近的请求次数](https://leetcode-cn.com/problems/number-of-recent-calls/) - -```js -var RecentCounter = function () { - this.queue = []; -}; - -/** - * @param {number} t - * @return {number} - */ -RecentCounter.prototype.ping = function (t) { - this.queue.push(t); - // 将3000ms之前的数据,踢出队列 - while (this.queue[0] < t - 3000) { - this.queue.shift(); - } - // 队列中剩下的元素个数就是最近的请求次数 - return this.queue.length; -}; -``` diff --git a/docs/data-structure/03_linked_list.md b/docs/data-structure/03_linked_list.md deleted file mode 100644 index a445e2e..0000000 --- a/docs/data-structure/03_linked_list.md +++ /dev/null @@ -1,599 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 3 ---- - -# 链表(LinkedList) - -## 一、介绍 - -链表和数组一样,可以用于**存储一系列的元素**,但是链表和数组的实现**机制完全不同**。链表又可以分作**单向链表**和**双向链表**。 - -链表的每个元素由一个存储**元素本身的节点**和一个**指向下一个元素的引用**(有的语言称为指针或连接)组成。类似于火车头,一节车厢载着乘客(数据),通过节点连接另一节车厢。如下图所示 - -- 链表的火车结构 - -
- -
火车结构
-
- -- 链表的数据结构 - -
- -
链表的数据结构
-
- -​ head 属性指向链表的第一个节点。 - -​ 链表中的最后一个节点指向 `null`。 - -​ 当链表中一个节点也没有的时候,head 直接指向 `null`。 - -- 给火车加上数据结构后 - -
- -
给火车加上数据结构后
-
- -### 数组的优缺点 - -- 优点: - - 一般存储多个元素时,数组(或列表)可能是最常用的数据结构 -- 缺点: - - 数组的创建需要申请一段连续的内存空间(一整块内存),并且大小是固定的,**当前数组不能满足容量需求时,需要扩容**。 (一般情况下是申请一个更大的数组,比如 2 倍,然后将原数组中的元素复制过去) - - 在数组**开头**或中间位置**插入数据的成本很高**,需要进行**大量元素的位移** - -​ - -### 链表的优缺点 - -- 优点: - - 链表中的元素在内存中**不必是连续的空间**,可以充分利用计算机的内存,实现灵活的**内存动态管理**。 - - 链表不必在创建时就**确定大小**,并且大小可以**无限地延伸**下去。 - - 链表在**插入和删除**数据时,**时间复杂度**可以达到 O(1),相对数组效率高很多。 -- 缺点: - - 链表访问任何一个位置的元素时,都需要**从头开始访问**(无法跳过第一个元素访问任何一个元素) - - 无法通过下标值直接访问元素,需要从头开始一个个访问,直到找到对应的元素 - - 虽然可以轻松地到达**下一个节点**,但是回到**前一个节点**是很难的 - - 总的来说就是**链表查找效率低** - -## 二、链表的实现 - -### 链表中的常见操作 - -- `append(element)` 向链表尾部添加一个新的项。 -- `insert(position, element)` 向链表的特定位置插入一个新的项。 -- `get(position)` 获取对应位置的元素。 -- `indexOf(element)` 返回元素在链表中的索引。如果链表中没有该元素就返回-1。 -- `update(position, element)` 修改某个位置的元素。 -- `removeAt(position)` 从链表的特定位置移除一项。 -- `remove(element)` 从链表中移除一项。 -- `isEmpty()` 如果链表中不包含任何元素,返回 true,如果链表长度大于 0 则返回 false。 -- `size()` 返回链表包含的元素个数,与数组的 length 属性类似。 -- `toString()` 由于链表项使用了 Node 类,就需要重写继承自 JavaScript 对象默认的 toString 方法,让其只输出元素的值。 - -### 1.逐步封装单向链表 - -#### 1.1 先创建单向链表类 LinkedList,并添加基本属性,再实现单向链表的常用方法: - -```js -function LinkedList() { - function Node(data) { - this.data = data; - this.next = null; - } - - this.head = null; - this.length = 0; -} -``` - -#### 1.2 实现 append() 方法 - -```js -// 1.向链表尾部追加数据 -LinkedList.prototype.append = function (data) { - var newNode = new Node(data); - // 若链表为空 - if (this.length === 0) { - // 将head指向第一个节点 - this.head = newNode; - } else { - var current = this.head; - // 当current.next为null 的时候会退出循环 - while (current.next) { - // 指针后移 - current = current.next; - } - // 当指到最后一个node时,给next append newNode - current.next = newNode; - } - // 注意:append后长度要+1 - this.length += 1; -}; -``` - -##### append 过程详解 - -1. 首先让 `currentNode` 指向第一个节点。 - -
- -
- -2. 通过 `while` 循环使 `currentNode` 指向最后一个节点,最后通过 `currentNode.next = newNode`,让最后一个节点指向新节点 `newNode`。 - -
- -
- -#### 1.3 实现 toString() 方法 - -```js -// 2.方便测试,先完成toString方法 -LinkedList.prototype.toString = function () { - var current = this.head; - var resultString = ''; - while (current) { - resultString += current.data + ' '; - current = current.next; - } - return resultString; -}; -``` - -##### 测试代码 - -```js -var linked = new LinkedList(); -linked.append('10'); -linked.append('20'); -linked.append('30'); -console.log(linked.toString()); // 10 20 30 -``` - -#### 1.4 实现 insert()方法 - -```js -// 3.插入 -LinkedList.prototype.insert = function (position, data) { - // 1.对position进行边界情况判断 - if (position < 0 || position > this.length) return false; - - var newNode = new Node(data); - // 2.当在第一个位置插入的时候 - if (position === 0) { - // 将要新节点的next与原链表相连 - newNode.next = this.head; - // 改变head的指向到新的节点,有点移花接木的意思了哈~ - this.head = newNode; - } else { - // 3.这里要找到合适的插入位置 - var index = 0; - var current = this.head; - var previous = null; - - // 3.1 遍历的找到要插入的节点位置 - while (index++ < position) { - previous = current; // 保存前一个节点 - current = current.next; // 保持当前节点 - } - - // 3.2 同样是移花接木 - newNode.next = current; - previous.next = newNode; - } - - this.length += 1; - return true; -}; -``` - -##### 测试代码 - -```js -linked.insert(0, '00'); -linked.insert(2, '22'); -linked.insert(5, '55'); -console.log(linked.toString()); // 00 10 22 20 30 55 -``` - -#### 1.5 实现 get()方法 - -> 根据位置获取 对应位置的数据 - -```js -// 4.获取对应位置的数据 -LinkedList.prototype.get = function (position) { - if (position < 0 || position >= this.length) return false; - var current = this.head; - var index = 0; - while (index++ < position) { - current = current.next; - } - return current.data; -}; -``` - -##### 测试代码 - -```js -console.log(linked.get(0)); // 00 -console.log(linked.get(2)); // 22 -console.log(linked.get(5)); // 55 -``` - -#### 1.6 实现 indexOf()方法 - -```js -// 5.返回数据当前位置,若找不到传入数据的位置,返回-1 -LinkedList.prototype.indexOf = function (data) { - var current = this.head; - var index = 0; - while (current) { - if (current.data === data) return index; - current = current.next; - index += 1; - } - return -1; -}; -``` - -##### 测试代码 - -```js -console.log(linked.indexOf('00')); // 0 -console.log(linked.indexOf('22')); // 2 -console.log(linked.indexOf('123123')); // -1 -``` - -#### 1.7 实现 update()方法 - -```js -// 6.更新对应位置对数据 -LinkedList.prototype.update = function (position, newData) { - if (position < 0 || position >= this.length) return false; - var current = this.head; - var index = 0; - while (index++ < position) { - current = current.next; - } - current.data = newData; - return true; -}; -``` - -##### 测试代码 - -```js -linked.update(0, '000'); -console.log(linked.get(0)); // 000 -``` - -#### 1.8 实现 removeAt()方法 - -```js -// 7.根据位置删除数据 -LinkedList.prototype.removeAt = function (position) { - if (position < 0 || position >= this.length) return null; - var current = this.head; - - if (position === 0) { - this.head = this.head.next; - } else { - var previous = null; - var index = 0; - while (index++ < position) { - previous = current; - current = current.next; - } - // 将前一个节点的next执行下一个节点 - previous.next = current.next; - } - this.length -= 1; - return current.data; // 返回删除的数据 -}; -``` - -##### 测试代码 - -```js -console.log(linked.removeAt(0)); // 000 -console.log(linked.removeAt(4)); // 55 -console.log(linked.toString()); // 10 22 20 30 -``` - -#### 1.9 实现 remove()方法 - -```js -// 8.删除数据 -LinkedList.prototype.remove = function (data) { - var position = this.indexOf(data); - return this.removeAt(position); -}; -``` - -##### 测试代码 - -```js -console.log(linked.remove('10')); // 10 -console.log(linked.toString()); // 22 20 30 -``` - -### 2.封装完的单向链表 - -> 包括测试代码和 isEmpty()、size()的实现 - -```js -function LinkedList() { - function Node(data) { - this.data = data; - this.next = null; - } - - this.head = null; - this.length = 0; - - // 1.向链表尾部追加数据 - LinkedList.prototype.append = function (data) { - var newNode = new Node(data); - // 若链表为空 - if (this.length === 0) { - // 将head指向第一个节点 - this.head = newNode; - } else { - var current = this.head; - // 当current.next为null 的时候会退出循环 - while (current.next) { - // 指针后移 - current = current.next; - } - // 当指到最后一个node时,给next append newNode - current.next = newNode; - } - // 注意:append后长度要+1 - this.length += 1; - }; - - // 3.插入 - LinkedList.prototype.insert = function (position, data) { - // 1.对position进行边界情况判断 - if (position < 0 || position > this.length) return false; - - var newNode = new Node(data); - // 2.当在第一个位置插入的时候 - if (position === 0) { - // 将要新节点的next与原链表相连 - newNode.next = this.head; - // 改变head的指向到新的节点,有点移花接木的意思了哈~ - this.head = newNode; - } else { - // 3.这里要找到合适的插入位置 - var index = 0; - var current = this.head; - var previous = null; - - // 3.1 遍历的找到要插入的节点位置 - while (index++ < position) { - previous = current; // 保存前一个节点 - current = current.next; // 保持当前节点 - } - - // 3.2 同样是移花接木 - newNode.next = current; - previous.next = newNode; - } - - this.length += 1; - return true; - }; - - // 4.获取对应位置的数据 - LinkedList.prototype.get = function (position) { - if (position < 0 || position >= this.length) return false; - var current = this.head; - var index = 0; - while (index++ < position) { - current = current.next; - } - return current.data; - }; - - // 5.返回数据当前位置 - LinkedList.prototype.indexOf = function (data) { - var current = this.head; - var index = 0; - while (current) { - if (current.data === data) return index; - current = current.next; - index += 1; - } - return -1; - }; - - // 6.更新对应位置对数据 - LinkedList.prototype.update = function (position, newData) { - if (position < 0 || position >= this.length) return false; - var current = this.head; - var index = 0; - while (index++ < position) { - current = current.next; - } - current.data = newData; - return true; - }; - - // 7.根据位置删除数据 - LinkedList.prototype.removeAt = function (position) { - if (position < 0 || position >= this.length) return null; - var current = this.head; - - if (position === 0) { - this.head = this.head.next; - } else { - var previous = null; - var index = 0; - while (index++ < position) { - previous = current; - current = current.next; - } - // 将前一个节点的next执行下一个节点 - previous.next = current.next; - } - this.length -= 1; - return current.data; // 返回删除的数据 - }; - - // 8.删除数据 - LinkedList.prototype.remove = function (data) { - var position = this.indexOf(data); - return this.removeAt(position); - }; - - LinkedList.prototype.isEmpty = function () { - return this.length === 0; - }; - - LinkedList.prototype.size = function () { - return this.length; - }; - - // 2.方便测试,先完成toString方法 - LinkedList.prototype.toString = function () { - var current = this.head; - var resultString = ''; - while (current) { - resultString += current.data + ' '; - current = current.next; - } - return resultString; - }; -} - -// 测试代码 -var linked = new LinkedList(); -linked.append('10'); -linked.append('20'); -linked.append('30'); -console.log(linked.toString()); // 10 20 30 - -linked.insert(0, '00'); -linked.insert(2, '22'); -linked.insert(5, '55'); -console.log(linked.toString()); // 00 10 22 20 30 55 -console.log(linked.get(0)); // 00 -console.log(linked.get(2)); // 22 -console.log(linked.get(5)); // 55 - -console.log(linked.indexOf('00')); // 0 -console.log(linked.indexOf('22')); // 2 -console.log(linked.indexOf('123123')); // -1 - -linked.update(0, '000'); -console.log(linked.get(0)); // 000 - -console.log(linked.removeAt(0)); // 000 -console.log(linked.removeAt(4)); // 55 -console.log(linked.toString()); // 10 22 20 30 - -console.log(linked.remove('10')); // 10 -console.log(linked.toString()); // 22 20 30 -``` - -## 三、应用 - -### 1.[删除链表中的节点](https://leetcode-cn.com/problems/delete-node-in-a-linked-list/) - -- 思路 -- 若无任何限制,是一个普通链表,可以用正常方法删除(将上一个节点的 next,指向下一个节点即可) -- 因为题目限制无法访问链表的头节点 -- 所以需要绕一个弯,将当前节点,指向下一个节点,这个时候当前节点跟下一个节点是同一个节点 -- 然后将下一个节点删除即可,也就是将下个节点的指向下下个节点 - -```js -var deleteNode = function (node) { - node.val = node.next.val; - node.next = node.next.next; -}; -``` - -### 2.[删除排序链表中的重复元素](/js-logs/array#83删除排序链表中的重复元素) - -- 思路 -- 因为题目给出的链表是排好序的 -- 所以只需要,遍历链表,判断当前节点与下个节点的值是否相等 -- 遇到相等的情况继续删除,当 遇到 不相等的情况再进行赋值往下走 - -注意点: -因为第一次判断的时候用到了 p.next.val,若 p.next 为 null,则会报错,所以 while 中需要考虑 p.next 不为空的情况 - -```js -var deleteDuplicates = function (head) { - var p = head; - while (p && p.next) { - if (p.val === p.next.val) { - p.next = p.next.next; - } else { - p = p.next; - } - } - return head; -}; -``` - -### 3.[反转链表](/js-logs/linked-list#反转链表) - -- 思路 -- 链表太长不容易看出如何反转,所以可以看作两个最短链表反转 -- 短链表反转,只需要将 当前节点的 next 指回 给 上一个节点 -- 所以使用 p1 为头节点,p2 为后节点,双指针一直指回,然后让双指针共同前进即可 -- 因为 p1 最后会指向一个 null,p2 会指向 5 -- 所以最后返回 p2 链表 - -```js -var reverseList = function (head) { - var p1 = head; - var p2 = null; - while (p1) { - var temp = p1.next; - p1.next = p2; - p2 = p1; - p1 = temp; - } - - return p2; -}; -``` - -### 4. [环形链表](/js-logs/linked-list#141环形链表) - -- 思路 -- 声明快慢两个指针进行赛跑 -- 如果有环,快慢指针肯定会重逢 -- 如果没有环,则不会重逢 - -```js -var hasCycle = function (head) { - var p1 = head; - var p2 = head; - - while (p1 && p2 && p2.next) { - p1 = p1.next; - p2 = p2.next.next; - - if (p1 === p2) { - return true; - } - } - - return false; -}; -``` diff --git a/docs/data-structure/04_doubly_linked_list.md b/docs/data-structure/04_doubly_linked_list.md deleted file mode 100644 index a3afdf2..0000000 --- a/docs/data-structure/04_doubly_linked_list.md +++ /dev/null @@ -1,883 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 4 ---- - -# 双向链表(DoublyLinkedList) - -## 一、双向链表的介绍 - -既可以从头遍历到尾,也可以从**尾遍历到头**。链表相连的过程是**双向**的。实现原理是一个节点**既有向前连接的引用**,也有一个**向后连接的引用** - -### 单向链表的特性 - -- 只能从头遍历到尾或者从尾遍历到头(一般从头到尾) -- 链表相连的过程是单向的,实现原理是上一个节点中有指向下一个节点的引用 -- 单向链表有一个比较明显的缺点:可以轻松到达下一个节点,但回到前一个节点很难,在实际开发中, 经常会遇到需要回到上一个节点的情况。 -- 由于双向链表的节点指向是双向的,所以双向链表可以有效的解决单向链表存在的问题 - -### 双向链表结构 - -
- -
双向链表结构
-
- -- 双向链表不仅有**head**指针指向第一个节点,而且有**tail**指针指向最后一个节点 -- 每一个节点由三部分组成:**item**储存数据、**prev**指向前一个节点、**next**指向后一个节点 -- 双向链表的第一个节点的 prev 指向**null** -- 双向链表的最后一个节点的 next 指向**null** - -### 双向链表的缺点 - -- 每次在**插入或删除**某个节点时,都需要处理四个引用,而不是两个,实现起来会困难些 -- 相对于单向链表,所占**内存空间更大**一些 - -## 二、双向链表的封装 - -### 常见操作 - -- `append(element)` 向链表尾部追加一个新元素 -- `insert(position, element)` 向链表的指定位置插入一个新元素 -- `getElement(position)` 获取指定位置的元素 -- `indexOf(element)` 返回元素在链表中的索引。如果链表中没有该元素就返回 -1 -- `update(position, element)` 修改指定位置上的元素 -- `removeAt(position)` 从链表中的删除指定位置的元素 -- `remove(element)` 从链表删除指定的元素 -- `isEmpty()` 如果链表中不包含任何元素,返回 `true`,如果链表长度大于 0 则返回 `false` -- `size()` 返回链表包含的元素个数,与数组的 `length` 属性类似 -- `toString()` 由于链表项使用了 Node 类,就需要重写继承自 JavaScript 对象默认的 `toString` 方法,让其只输出元素的值 -- `forwardString()` 返回正向遍历节点字符串形式 -- `backwardString()` 返回反向遍历的节点的字符串形式 - -### 1.逐步封装双向链表 - -> 双向链表的插入(insert)和删除(removeAt)方法需要考虑的情况较多,是一个难点 - -#### 1.1 先创建双向链表类 DoublyLinkedList - -创建内部类并添加基本属性,再实现单向链表的常用方法 - -与单向链表相比 - -- 双向链表内部类中新添加`this.prev`属性,指向该节点的上一个节点 -- 双向链表新添加 `this.tail` 属性,该属性指向末尾的节点 - -```js -function DoublyLinkedList() { - // 内部类 - function Node(data) { - this.data = data; - this.prev = null; - this.next = null; - } - - // 属性 - this.head = null; - this.tail = null; - this.length = 0; -} -``` - -#### 1.2 实现 append()方法 - -```js -// 1.向链表尾部追加数据 -DoublyLinkedList.prototype.append = function (data) { - var newNode = new Node(data); - // 若是第一次添加,直接将head和tail指向新节点即可 - if (this.length === 0) { - this.head = newNode; - this.tail = newNode; - } else { - // 让tail与新节点的prev建立连接 - newNode.prev = this.tail; - // tail的next指向新节点 - this.tail.next = newNode; - // 改变tail指针 - this.tail = newNode; - } - - this.length += 1; -}; -``` - -##### append()方法图解 - -情况 1:第一次添加 ==> 只需要让 head 和 tail 都指向新节点即可 - -
- -
- -情况 2:不是第一次添加,需要改变 tail 指针的引用关系 - -- 通过`newNode.prev = this.tail`:建立指向 1 -- 通过`this.tail.next = newNode`:建立指向 2 - -如图: - -
- -
- -- 通过`this.tail = newNode`:建立指向 3 -- 要注意**指针改变的顺序**,最后修改 tail 指向,这样未修改前 tail 始终指向原链表的最后一个节点。 - -如图: - -
- -
- -#### 1.3 实现 forwardString()、backwardString()、toString()方法 - -便于我们测试代码,先实现以上三个方法,这里就放在同一个代码块下了~其实 toString()方法就是 forwardString()方法 - -```js -// 返回正向遍历节点字符串形式 -DoublyLinkedList.prototype.forwardString = function () { - var current = this.head; - var resultString = ''; - while (current) { - resultString += current.data + ' '; - current = current.next; - } - return resultString; -}; - -// 返回反向遍历的节点的字符串形式 -DoublyLinkedList.prototype.backwardString = function () { - var current = this.tail; - var resultString = ''; - while (current) { - resultString += current.data + ' '; - current = current.prev; - } - return resultString; -}; - -DoublyLinkedList.prototype.toString = function () { - return this.forwardString(); -}; -``` - -##### 测试代码 - -```js -// 测试代码 -var dll = new DoublyLinkedList(); - -dll.append('10'); -dll.append('20'); -dll.append('30'); -console.log(dll.toString()); // 10 20 30 -console.log(dll.forwardString()); // 10 20 30 -console.log(dll.backwardString()); // 30 20 10 -``` - -#### 1.4 实现 insert()方法 - -```js -// 2.向链表中插入数据 -DoublyLinkedList.prototype.insert = function (position, data) { - // 1.边界判断 - if (position < 0 || position > this.length) return false; - var newNode = new Node(data); - - // 2.第一次添加 - if (this.length === 0) { - this.head = newNode; - this.tail = newNode; - } else { - if (position === 0) { - // 3.1 在头部插入 - this.head.prev = newNode; - newNode.next = this.head; - this.head = newNode; - } else if (position === this.length) { - // 3.2 在尾部插入 - newNode.prev = this.tail; - this.tail.next = newNode; - this.tail = newNode; - } else { - // 3.3 在中间插入 0 < position < this.length - var current = this.head; - var index = 0; - // 找到要插入的位置 - while (index++ < position) { - current = current.next; - } - // 让新节点的next 指向要插入位置的节点(current) - newNode.next = current; - // 让新节点的prev 指向 current的prev - newNode.prev = current.prev; - // 将新节点与 当前节点的 前一个节点的 next建立关系 - current.prev.next = newNode; - // 让newNode成为current的前一个节点 - current.prev = newNode; - } - } - this.length += 1; - return true; -}; -``` - -##### insert 方法图解 - -我们一起来分析,双向链表在进行插入时,都有哪些情况会出现 - -1. **情况 1**:当是第一次添加的时候,只需要让 head 和 tail 都指向 newNode 即可 - -```js -// 2.第一次添加 -if (this.length === 0) { - this.head = newNode; - this.tail = newNode; -} -``` - -
- -
- -2. **当不是第一次插入的时候,又可以细分为以下几种情况** - - 2.1 在头部插入 (position === 0) - - 2.2 在尾部插入 (position === this.length) - - 2.3 在中间插入 (0 < position < this.length) - -2.1 **在头部插入时** - -```js -if (position === 0) { - // 3.1 在头部插入 - this.head.prev = newNode; - newNode.next = this.head; - this.head = newNode; -} -``` - -- 在 position === 0 时,我们要将 newNode 插入到如图的位置,成为新的头节点 - -
- -
- -- 通过`this.head.prev = newNode`,将头节点的 prev 指向新节点,建立引用 1 -- 通过`newNode.next = this.head`,将新节点的 next 指向原来的头节点,建立引用 2 -- 此时可以发现,newNode 已经与原来的头节点互相建立指向关系 - -
- -
- -- 最后通过` this.head = newNode`,将 newNode 成为新的头节点,建立引用 3 - -
- -
- -2.2 **在尾部插入时** - -```js -if (position === this.length) { - // 3.2 在尾部插入 - this.tail.next = newNode; - newNode.prev = this.tail; - this.tail = newNode; -} -``` - -- 在 position === this.length 时,我们要将 newNode 成为新的尾节点 - -
- -
- -- 通过`this.tail.next = newNode`,将原来的节点的 next 指向新节点,建立引用 1 -- 通过`newNode.prev = this.tail`,将新节点的 prev,指向原来的尾节点,建立引用 2 - -
- -
- -- 通过`this.tail = newNode`,将 tail 指向新的尾节点,建立引用 3 - -
- -
- -2.3 **在中间插入时** - -> 这种情况下,我们需要改变的引用关系稍微多一些 - -```js -// 3.3 在中间插入 0 < position < this.length -var current = this.head; -var index = 0; -// 找到要插入的位置 -while (index++ < position) { - current = current.next; -} -// 让新节点的next 指向要插入位置的节点(current) -newNode.next = current; -// 让新节点的prev 指向 current的prev -newNode.prev = current.prev; -// 将新节点与 当前节点的 前一个节点的 next建立关系 -current.prev.next = newNode; -// 让newNode成为current的前一个节点 -current.prev = newNode; -``` - -- 在 0 < position < this.length 时,我们假设在 1 的位置插入一个新的节点,如下图所示 - -
- -
- -- 我们先要找到要插入元素合适的位置,我们可以通过以下代码来找到插入的位置 - -
- -
- -- 我们找到**current 就是新的节点要插入的位置**,所以下面要做的就是让新的节点与 node1,node2**建立起引用关系** - -
- -
- -- 通过`newNode.next = current`, 让新节点的 next 指向要插入位置的节点(current),建立引用 1 -- 通过`newNode.prev = current.prev`,让新节点的 prev 指向 current 的 prev,建立引用 2 - -
- -
- -- 通过`current.prev.next = newNode`,将新节点与 当前节点的 前一个节点的 next 建立关系,建立引用 3 -- 通过`current.prev = newNode`,让 newNode 成为 current 的前一个节点,建立引用 4 - -
- -
- -##### 测试代码 - -```js -dll.insert(0, '000'); -dll.insert(2, '222'); -dll.insert(5, '555'); -console.log(dll.toString()); // 000 10 222 20 30 555 -``` - -#### 1.5 实现 get()方法 - -```js -// 3.获取对应位置数据 -DoublyLinkedList.prototype.get = function (position) { - if (position < 0 || position >= this.length) return null; - - if (Math.floor(this.length / 2) > position) { - // 从前往后遍历 - var index = 0; - var current = this.head; - while (index++ < position) { - current = current.next; - } - return current.data; - } else { - // 从后往前遍历 - var index = this.length - 1; - var current = this.tail; - while (index-- > position) { - current = current.prev; - } - return current.data; - } -}; -``` - -##### 测试代码 - -```js -console.log(dll.get(0)); // 000 -console.log(dll.get(2)); // 222 -console.log(dll.get(3)); // 20 -console.log(dll.get(5)); // 555 -``` - -#### 1.6 实现 indexOf()方法 - -```js -// 4.获取数据对应的位置 -DoublyLinkedList.prototype.indexOf = function (data) { - var current = this.head; - var index = 0; - while (current) { - if (current.data === data) return index; - current = current.next; - index += 1; - } - - return -1; -}; -``` - -##### 测试代码 - -```js -console.log(dll.indexOf('000')); // 0 -console.log(dll.indexOf('222')); // 2 -``` - -#### 1.7 实现 update()方法 - -其实就在 get 方法找到元素的基础上,赋值新的数据 - -```js -// 5.更新方法 -DoublyLinkedList.prototype.update = function (position, newData) { - if (position < 0 || position >= this.length) return false; - if (Math.floor(this.length / 2) > position) { - // 从前往后 遍历 - var current = this.head; - var index = 0; - while (index++ < position) { - current = current.next; - } - current.data = newData; - return true; - } else { - // 从后往前 遍历 - var current = this.tail; - var index = this.length - 1; - while (index-- > position) { - current = current.prev; - } - current.data = newData; - return true; - } -}; -``` - -##### 测试代码 - -```js -dll.update(1, '111'); -dll.update(3, '333'); -dll.update(4, '444'); -console.log(dll.toString()); // 000 111 222 333 444 555 -``` - -#### 1.8 实现 removeAt()方法 - -```js -// 6.删除指定位置 -DoublyLinkedList.prototype.removeAt = function (position) { - if (position < 0 || position >= this.length) return null; - var current = this.head; - - // 1.只有一个节点时 - if (this.length === 1) { - this.head = null; - this.tail = null; - } else { - // 2.删除 头部节点 - if (position === 0) { - this.head.next.prev = null; - this.head = this.head.next; - } else if (position === this.length - 1) { - // 3.删除尾部节点 - this.tail.prev.next = null; - this.tail = this.tail.prev; - // 如果上面一种不好理解,也可以用下面这种写法 - // current = this.tail; - // this.tail = this.tail.prev; - // this.tail.next = null; - } else { - // 4.删除中间 - var index = 0; - while (index++ < position) { - current = current.next; - } - current.next.prev = current.prev; - current.prev.next = current.next; - } - } - - this.length -= 1; - return current.data; -}; -``` - -##### removeAt()方法图解 - -让我们一起回顾一下 removeAt 主要实现了什么功能? - -removeAt()方法:删除指定位置的元素,删除成功返回删除的元素的数据,删除失败返回 null - -下面我们一起分析下,删除时会有哪些情况? - -1. **情况 1**:只有一个节点时,将 head 和 tail 指针,指向 null 即可 - -
- -
- -2. 当链表的节点数量大于 1 时,会出现以下三种情况 - - 2.1 删除 头部节点,也就是删除位置 0 上的节点 - - 2.2 删除 尾部节点,也就是链表最后一位的节点 - - 2.3 删除 中间节点 - -2.1 删除 头部节点 - -```js -// 2.删除 头部节点 -if (position === 0) { - this.head.next.prev = null; - this.head = this.head.next; -} -``` - -- 如下图所示,我们要删除的节点是 Node1 - -
- -
- -- 通过`this.head.next.prev = null`,让 Node1 后面的节点指向 null(图中引用 1) ,与 Node1 失去引用关系 -- 通过`this.head = this.head.next`,让 head 与 Node1 后面的节点建立引用 2 -- 经过上面两步的操作,Node1 将没有别的节点指向它,最终会被垃圾回收机制给**回收**掉,也就是会被删除 - -
- -
- -2.2 删除尾部节点 - -```js -if (position === this.length - 1) { - // 3.删除尾部节点 - this.tail.prev.next = null; - this.tail = this.tail.prev; -} -``` - -- 通过`this.tail.prev.next = null`,让尾元素的前一个节点,与之失去引用关系 1 -- 通过`this.tail = this.tail.prev`,让尾元素的前一个节点与 tail 建立引用 2,使之成为新的尾元素 -- 之前的尾元素,由于没有其他元素指向它,最终会被垃圾回收机制删除掉 - -
- - -
- -```js -// 4.删除中间 -var index = 0; -while (index++ < position) { - current = current.next; -} -current.next.prev = current.prev; -current.prev.next = current.next; -``` - -- 先通过 while 循环找到要删除的元素,比如 position = x,那么需要删除的节点就是 Node(x+1),如下图所示,我们要做的就是断了前后元素的引用关系 - -
- -
- -- 通过`current.next.prev = current.prev`,建立新的引用 1 -- 通过`current.prev.next = current.next`,建立新的引用 2 -- current 同样会被垃圾回收掉 - -
- -
- -##### 测试代码 - -```js -console.log(dll.removeAt(0)); // 000 -console.log(dll.removeAt(1)); // 222 -console.log(dll.removeAt(3)); // 555 -console.log(dll.toString()); // 111 333 444 -``` - -#### 1.9 实现 remove()方法 - -```js -// 7.remove -DoublyLinkedList.prototype.remove = function (data) { - var position = this.indexOf(data); - return this.removeAt(position); -}; -``` - -##### 测试代码 - -```js -console.log(dll.remove('111')); // 111 -console.log(dll.toString()); // 333 444Ï -``` - -### 2.封装完的双向链表 - -```js -function DoublyLinkedList() { - // 内部类 - function Node(data) { - this.data = data; - this.prev = null; - this.next = null; - } - - // 属性 - this.head = null; - this.tail = null; - this.length = 0; - - // 1.向链表尾部追加数据 - DoublyLinkedList.prototype.append = function (data) { - var newNode = new Node(data); - // 若是第一次添加,直接将head和tail指向新节点即可 - if (this.length === 0) { - this.head = newNode; - this.tail = newNode; - } else { - // 让tail与新节点的prev建立连接 - newNode.prev = this.tail; - // tail的next指向新节点 - this.tail.next = newNode; - // 改变tail指针 - this.tail = newNode; - } - - this.length += 1; - }; - - // 2.向链表中插入数据 - DoublyLinkedList.prototype.insert = function (position, data) { - // 1.边界判断 - if (position < 0 || position > this.length) return false; - var newNode = new Node(data); - - // 2.第一次添加 - if (this.length === 0) { - this.head = newNode; - this.tail = newNode; - } else { - if (position === 0) { - // 3.1 在头部插入 - this.head.prev = newNode; - newNode.next = this.head; - this.head = newNode; - } else if (position === this.length) { - // 3.2 在尾部插入 - this.tail.next = newNode; - newNode.prev = this.tail; - this.tail = newNode; - } else { - // 3.3 在中间插入 0 < position < this.length - var current = this.head; - var index = 0; - // 找到要插入的位置 - while (index++ < position) { - current = current.next; - } - // 让新节点的next 指向要插入位置的节点(current) - newNode.next = current; - // 让新节点的prev 指向 current的prev - newNode.prev = current.prev; - // 将新节点与 当前节点的 前一个节点的 next建立关系 - current.prev.next = newNode; - // 让newNode成为current的前一个节点 - current.prev = newNode; - } - } - this.length += 1; - return true; - }; - - // 3.获取对应位置数据 - DoublyLinkedList.prototype.get = function (position) { - if (position < 0 || position >= this.length) return null; - - if (Math.floor(this.length / 2) > position) { - // 从前往后遍历 - var index = 0; - var current = this.head; - while (index++ < position) { - current = current.next; - } - return current.data; - } else { - // 从后往前遍历 - var index = this.length - 1; - var current = this.tail; - while (index-- > position) { - current = current.prev; - } - return current.data; - } - }; - - // 4.获取数据对应的位置 - DoublyLinkedList.prototype.indexOf = function (data) { - var current = this.head; - var index = 0; - while (current) { - if (current.data === data) return index; - current = current.next; - index += 1; - } - - return -1; - }; - - // 5.更新方法 - DoublyLinkedList.prototype.update = function (position, newData) { - if (position < 0 || position >= this.length) return false; - if (Math.floor(this.length / 2) > position) { - // 从前往后 遍历 - var current = this.head; - var index = 0; - while (index++ < position) { - current = current.next; - } - current.data = newData; - return true; - } else { - // 从后往前 遍历 - var current = this.tail; - var index = this.length - 1; - while (index-- > position) { - current = current.prev; - } - current.data = newData; - return true; - } - }; - - // 6.删除指定位置 - DoublyLinkedList.prototype.removeAt = function (position) { - if (position < 0 || position >= this.length) return null; - var current = this.head; - - // 1.只有一个节点时 - if (this.length === 1) { - this.head = null; - this.tail = null; - } else { - // 2.删除 头部节点 - if (position === 0) { - this.head.next.prev = null; - this.head = this.head.next; - } else if (position === this.length - 1) { - // 3.删除尾部节点 - this.tail.prev.next = null; - this.tail = this.tail.prev; - // 如果上面一种不好理解,也可以用下面这种写法 - // current = this.tail; - // this.tail = this.tail.prev; - // this.tail.next = null; - } else { - // 4.删除中间 - var index = 0; - while (index++ < position) { - current = current.next; - } - current.next.prev = current.prev; - current.prev.next = current.next; - } - } - - this.length -= 1; - return current.data; - }; - - // 7.remove - DoublyLinkedList.prototype.remove = function (data) { - var position = this.indexOf(data); - return this.removeAt(position); - }; - - DoublyLinkedList.prototype.size = function () { - return this.length; - }; - - DoublyLinkedList.prototype.isEmpty = function () { - return this.length === 0; - }; - - DoublyLinkedList.prototype.toString = function () { - return this.forwardString(); - }; - - // 返回正向遍历节点字符串形式 - DoublyLinkedList.prototype.forwardString = function () { - var current = this.head; - var resultString = ''; - while (current) { - resultString += current.data + ' '; - current = current.next; - } - return resultString; - }; - - // 返回反向遍历的节点的字符串形式 - DoublyLinkedList.prototype.backwardString = function () { - var current = this.tail; - var resultString = ''; - while (current) { - resultString += current.data + ' '; - current = current.prev; - } - return resultString; - }; -} - -// 测试代码 -var dll = new DoublyLinkedList(); - -dll.append('10'); -dll.append('20'); -dll.append('30'); -console.log(dll.toString()); // 10 20 30 -console.log(dll.forwardString()); // 10 20 30 -console.log(dll.backwardString()); // 30 20 10 - -dll.insert(0, '000'); -dll.insert(2, '222'); -dll.insert(5, '555'); -console.log(dll.toString()); // 000 10 222 20 30 555 - -console.log(dll.get(0)); // 000 -console.log(dll.get(2)); // 222 -console.log(dll.get(3)); // 20 -console.log(dll.get(5)); // 555 - -console.log(dll.indexOf('000')); // 0 -console.log(dll.indexOf('222')); // 2 - -dll.update(1, '111'); -dll.update(3, '333'); -dll.update(4, '444'); -console.log(dll.toString()); // 000 111 222 333 444 555 - -console.log(dll.removeAt(0)); // 000 -console.log(dll.removeAt(1)); // 222 -console.log(dll.removeAt(3)); // 555 -console.log(dll.toString()); // 111 333 444 - -console.log(dll.remove('111')); // 111 -console.log(dll.toString()); // 333 444 -``` diff --git a/docs/data-structure/05_set.md b/docs/data-structure/05_set.md deleted file mode 100644 index f295804..0000000 --- a/docs/data-structure/05_set.md +++ /dev/null @@ -1,349 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 5 ---- - -# 集合(set) - -## 一、介绍 - -集合通常是由一组**无序的**、**不能重复的**元素构成。数学中常指的集合中的元素是可以重复的,但是计算机中集合的元素不能重复。 - -集合是特殊的数组。 - -- 特殊之处在于里面的元素**没有顺序**,也**不能重复**。 -- 没有顺序意味着**不能通过下标值进行访问**,不能重复意味着相同的对象在集合中**只会存在一份**。 - -## 二、集合的实现 - -集合比较常见的实现方式是哈希表,这里使用 JavaScript 的 Object 进行封装 - -### 集合常见的操作 - -- `add(value)` 向集合添加一个新的项 -- `remove(value)` 从集合移除一个值 -- `has(value)` 如果值在集合中,返回 `true`,否则返回` false` -- `clear()` 移除集合中的所有项 -- `size()` 返回集合所包含元素的数量。与数组的 `length` 属性类似 -- `values()` 返回一个包含集合中所有值的数组。 -- 还有其他的方法,用的不多,这里不做封装 - -### 1.Set 类的代码实现 - -```js -function MySet() { - this.items = {}; - - MySet.prototype.add = function (value) { - if (this.has(value)) return false; - this.items[value] = value; - return true; - }; - - MySet.prototype.has = function (value) { - return this.items.hasOwnProperty(value); - }; - - MySet.prototype.remove = function (value) { - if (!this.has(value)) return false; - delete this.items[value]; - return true; - }; - - MySet.prototype.clear = function () { - this.items = {}; - }; - - MySet.prototype.size = function () { - return Object.keys(this.items).length; - }; - - // 返回一个包含集合中所有值的数组 - MySet.prototype.values = function () { - return Object.keys(this.items); - }; -} -``` - -#### 测试代码 - -```js -// 测试代码 -var set = new MySet(); -console.log(set.add('10')); // true -console.log(set.add('10')); // false -console.log(set.add('20')); // true -console.log(set.add('30')); // true -console.log(set.values()); // [ '10', '20', '30' ] - -console.log(set.remove('10')); // true -console.log(set.remove('10')); // false -console.log(set.values()); // [ '20', '30' ] -console.log(set.size()); // 2 -``` - -### 2.集合间操作的封装 - -- 并集:对于给定的两个集合,返回一个包含两个集合中所有元素的新集合 -- 交集:对于给定的两个集合,返回一个包含两个集合中共有元素的新集合 -- 差集:对于给定的两个集合,返回一个包含所有存在于第一个集合且不存在于第二个集合的元素的新集合 -- 子集:验证一个给定集合是否是另一个集合的子集 - -
- -
集合间操作
-
- -#### 2.1 并集的实现 - -```js -// 并集 ==> 将两个set集合合并 -MySet.prototype.union = function (otherSet) { - // 创建一个新的set - var unionSet = new MySet(); - // 取出当前set里的value - var values = this.values(); - - // 将当前set里的value添加到新的set中 - for (var i = 0; i < values.length; i++) { - unionSet.add(values[i]); - } - - // 取出传入的set - values = otherSet.values(); - // 将传入的set添加到新的set中 - for (var i = 0; i < values.length; i++) { - // 因为是set结构,所以会过滤掉重复的内容 - unionSet.add(values[i]); - } - - return unionSet; -}; -``` - -##### 测试代码 - -```js -// 测试代码 -var set1 = new MySet(); -var set2 = new MySet(); -set1.add('10'); -set1.add('20'); -set1.add('30'); - -set2.add('10'); -set2.add('40'); -set2.add('50'); -var unionSet = set1.union(set2); -console.log(unionSet.values()); // [ '10', '20', '30', '40', '50' ] -``` - -#### 2.2 交集的实现 - -```js -// 交集 ==> 取出两个集合重复的内容 -MySet.prototype.intersect = function (otherSet) { - var intersectSet = new MySet(); - var values = this.values(); - - for (var i = 0; i < values.length; i++) { - // 找出重复的内容 - if (otherSet.has(values[i])) { - // 将重复的内容,添加到交集中 - intersectSet.add(values[i]); - } - } - return intersectSet; -}; -``` - -##### 测试代码 - -```js -var intersectSet = set1.intersect(set2); -console.log(intersectSet.values()); // [ '10' ] -``` - -#### 2.3 差集的实现 - -```js -// 差集 ==> 跟交集相反,剔除集合A中那些在集合B中也存在的内容 -MySet.prototype.difference = function (otherSet) { - var differenceSet = new MySet(); - var values = this.values(); - for (var i = 0; i < values.length; i++) { - if (!otherSet.has(values[i])) { - differenceSet.add(values[i]); - } - } - return differenceSet; -}; -``` - -##### 测试代码 - -```js -var differenceSet = set1.difference(set2); -console.log(differenceSet.values()); // [ '20', '30' ] -``` - -#### 2.4 判断子集的实现 - -```js -// 子集 ==> 若集合B里的内容,在集合A中也存在,那么B就是A的子集 -MySet.prototype.subset = function (otherSet) { - var values = this.values(); - for (var i = 0; i < values.length; i++) { - if (!otherSet.has(values[i])) { - return false; - } - } - return true; -}; -``` - -##### 测试代码 - -```js -console.log(set1.subset(set2)); // false -``` - -### 3.完整代码 - -```js -function MySet() { - this.items = {}; - - MySet.prototype.add = function (value) { - if (this.has(value)) return false; - this.items[value] = value; - return true; - }; - - MySet.prototype.has = function (value) { - return this.items.hasOwnProperty(value); - }; - - MySet.prototype.remove = function (value) { - if (!this.has(value)) return false; - delete this.items[value]; - return true; - }; - - MySet.prototype.clear = function () { - this.items = {}; - }; - - MySet.prototype.size = function () { - return Object.keys(this.items).length; - }; - - // 返回一个包含集合中所有值的数组 - MySet.prototype.values = function () { - return Object.keys(this.items); - }; - - // 并集 ==> 将两个set集合合并 - MySet.prototype.union = function (otherSet) { - // 创建一个新的set - var unionSet = new MySet(); - // 取出当前set里的value - var values = this.values(); - - // 将当前set里的value添加到新的set中 - for (var i = 0; i < values.length; i++) { - unionSet.add(values[i]); - } - - // 取出传入的set - values = otherSet.values(); - // 将传入的set添加到新的set中 - for (var i = 0; i < values.length; i++) { - // 因为是set结构,所以会过滤掉重复的内容 - unionSet.add(values[i]); - } - - return unionSet; - }; - - // 交集 ==> 取出两个集合重复的内容 - MySet.prototype.intersect = function (otherSet) { - var intersectSet = new MySet(); - var values = this.values(); - - for (var i = 0; i < values.length; i++) { - // 找出重复的内容 - if (otherSet.has(values[i])) { - // 将重复的内容,添加到交集中 - intersectSet.add(values[i]); - } - } - return intersectSet; - }; - - // 差集 ==> 跟交集相反,剔除集合A中那些在集合B中也存在的内容 - MySet.prototype.difference = function (otherSet) { - var differenceSet = new MySet(); - var values = this.values(); - for (var i = 0; i < values.length; i++) { - if (!otherSet.has(values[i])) { - differenceSet.add(values[i]); - } - } - return differenceSet; - }; - - // 子集 ==> 若集合B里的内容,在集合A中也存在,那么B就是A的子集 - MySet.prototype.subset = function (otherSet) { - var values = this.values(); - for (var i = 0; i < values.length; i++) { - if (!otherSet.has(values[i])) { - return false; - } - } - return true; - }; -} - -// 测试代码 -var set1 = new MySet(); -var set2 = new MySet(); -set1.add('10'); -set1.add('20'); -set1.add('30'); - -set2.add('10'); -set2.add('40'); -set2.add('50'); -var unionSet = set1.union(set2); -console.log(unionSet.values()); // [ '10', '20', '30', '40', '50' ] - -var intersectSet = set1.intersect(set2); -console.log(intersectSet.values()); // [ '10' ] - -var differenceSet = set1.difference(set2); -console.log(differenceSet.values()); // [ '20', '30' ] - -console.log(set1.subset(set2)); // false -``` - -## 三、应用 - -### 1.[两个数组的交集](https://leetcode-cn.com/problems/intersection-of-two-arrays/) - -```js -/** - * @param {number[]} nums1 - * @param {number[]} nums2 - * @return {number[]} - */ -var intersection = function (nums1, nums2) { - // 使用set结构,一行代码就可以解决 - return [...new Set(nums1)].filter((n) => nums2.includes(n)); -}; -``` diff --git a/docs/data-structure/06_dictionary.md b/docs/data-structure/06_dictionary.md deleted file mode 100644 index f3e7a16..0000000 --- a/docs/data-structure/06_dictionary.md +++ /dev/null @@ -1,207 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 6 ---- - -# 字典(Dictionary) - -## 一、介绍 - -字典是用来存储唯一值的一种数据结构,通常以 **[键, 值]** **对 **的形式来存储数据,主要特点是**一一对应**,也称为**映射**。 - -在 js 中字典是使用`Map`类实现的,每个语言实现的类名不同,比如:Python 中是 `dict`,Java 中的 `HashMap` 和 `TreeMap`,但是实现字典的特点都是一样的 - -## 二、字典的实现 - -> 为了区分 ES6 中的 Map,这里使用 Dictionary 作为类名 - -### 字典常见的操作 - -- `set(key,value)` 向字典中添加新元素 -- `remove(key)` 通过使用键值来从字典中移除键值对应的数据值 -- `has(key)` 如果某个键值存在于这个字典中,则返回 `true`,反之则返回 `false` -- `get(key)` 通过键值查找特定的数值并返回 -- `clear()` 将这个字典中的所有元素全部删除 -- `size()` 返回字典所包含元素的数量。与数组的 `length` 属性类似 -- `keys()` 将字典所包含的所有键名以数组形式返回 -- `values()` 将字典所包含的所有数值以数组形式返回 - -### 代码实现 - -```js -function Dictionary() { - this.item = {}; - - Dictionary.prototype.has = function (key) { - return this.item.hasOwnProperty(key); - }; - - Dictionary.prototype.set = function (key, value) { - this.item[key] = value; - }; - - Dictionary.prototype.remove = function (key) { - if (!this.has(key)) return false; - delete this.item[key]; - return true; - }; - - Dictionary.prototype.get = function (key) { - return this.has(key) ? this.item[key] : undefined; - }; - - Dictionary.prototype.clear = function () { - this.item = {}; - }; - - Dictionary.prototype.size = function () { - return this.keys().length; - }; - - // 返回一个包含集合中所有值的数组 - Dictionary.prototype.keys = function () { - return Object.keys(this.item); - }; - - Dictionary.prototype.values = function () { - return Object.values(this.item); - }; -} -``` - -##### 测试代码 - -```js -// 测试代码 -let map = new Dictionary(); -map.set('10', 10); -map.set('20', 20); -map.set('30', 30); -console.log('[ map ] >', map); // [ map ] > Dictionary { item: { 10: 10, 20: 20, 30: 30 } } - -map.has('10'); // ? true - -map.remove('20'); // ? true -console.log('[ map ] >', map); //[ map ] > Dictionary { item: { 10: 10, 30: 30 } } - -map.keys(); // ? [ '10', '30' ] - -map.values(); // ? [ 10, 30 ] -map.size(); // ? 2 -map.clear(); -console.log('[ map ] >', map); // [ map ] > Dictionary { item: {} } -``` - -## 三、应用 - -### 1.[两数之和](/js-logs/n-sum#1两数之和) - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number[]} - */ -var twoSum = function (nums, target) { - var map = new Map(); - - for (var i = 0; i < nums.length; i++) { - var n = nums[i]; - var n2 = target - n; - - if (map.has(n2)) { - return [map.get(n2), i]; - } else { - map.set(n, i); - } - } -}; -``` - -### 2.[无重复字符的最长子串](/js-logs/sliding-window#3无重复字符的最长子串) - -- 思路 -- 用双指针维护一个"滑动窗口" -- 不断移动右指针,当遇到重复元素,将左指针移动到重复元素的下一位 -- 遍历过程中,记录窗口的长度,返回最大值 - -注意 -"abbcdefa",遇到这种情况,要加判断 ==> 重复元素的位置要大于左指针才有效 - -```js -/** - * @param {string} s - * @return {number} - */ -var lengthOfLongestSubstring = function (s) { - let map = new Map(); - let l = 0, - res = 0; - - for (let r = 0; r < s.length; r++) { - let c = s[r]; - // 2.如果发现map中已经存过c的位置 - // 4.map.get(c)的位置要大于左指针的位置才更新 - if (map.has(c) && map.get(c) >= l) { - // 2.1将c的位置拿出来,改变l指针的位置 - l = map.get(c) + 1; - } - // 3.更新最长的子串 - res = Math.max(res, r - l + 1); - // 1.右指针在滑动的过程中,将对应的位置,存入map中 - map.set(c, r); - } - return res; -}; -``` - -### 3.[有效的括号](/js-logs/stack#20有效的括号) - -- 思路: -- 使用栈结构先进后出的特性 -- 先声明一个栈 stack 变量 -- 遍历整个字符串 -- 发现 ( 、 {、 [ 就入栈 -- 发现 )、}、] 就和栈顶做比较,若栈顶存在对应的括号,将与之对应的括号出栈 -- 遍历结束后,若栈空,则说明所有括号都能找到相匹配的 -- 这题使用 map 做了存储上的优化,不然要写一堆的判断 - -```js -/** - * @param {string} s - * @return {boolean} - */ -var isValid = function (s) { - if (s.length % 2 === 1) { - return false; - } - var stack = []; - var length = s.length; - var map = new Map(); - map.set('(', ')'); - map.set('{', '}'); - map.set('[', ']'); - - for (var i = 0; i < length; i++) { - var c = s[i]; - if (map.has(c)) { - stack.push(c); - } else { - var stackTop = stack[stack.length - 1]; - if (map.get(stackTop) === c) { - // 栈顶元素出栈 - stack.pop(); - } else { - // 栈顶元素与当前元素不匹配 “})” "])" return - return false; - } - } - } - return stack.length === 0 ? true : false; -}; -``` diff --git a/docs/data-structure/07_hash_table.md b/docs/data-structure/07_hash_table.md deleted file mode 100644 index 28023af..0000000 --- a/docs/data-structure/07_hash_table.md +++ /dev/null @@ -1,700 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 7 ---- - -# 哈希表(HashTable) - -## 一、介绍 - -哈希表并不好理解,不像数组、链表和树等可通过图形的形式表示其结构和原理。 - -哈希表的结构就是**数组**,但它神奇之处在于对**下标值的一种变换**,这种变换我们可以称之为**哈希函数**,通过哈希函数可以获取**HashCode**。哈希表通常是基于**数组**实现的,但是相对于数组,它存在更多优势 - -### 1. 哈希表的优点 - -- 哈希表可以提供非常快速的**插入-删除-查找操作**; -- 无论多少数据,插入和删除值都只需要非常短的时间,即 O(1)的时间级。实际上,只需要**几个机器指令**即可完成; -- 哈希表的速度比**树还要快**,基本可以瞬间查找到想要的元素。 - -### 2. 哈希表的缺点 - -- 哈希表中的数据是**没有顺序**的,所以不能以一种固定的方式(比如从小到大 )来遍历其中的元素。 -- 通常情况下,哈希表中的 key 是**不允许重复**的,不能放置相同的 key,用于保存不同的元素。 - -**通过以下案例了解哈希表:** - -- 案例一:公司想要存储 1000 个人的信息,每一个工号对应一个员工的信息。若**使用数组,增删数据时比较麻烦**;使用**链表,获取数据时比较麻烦**。有没有一种数据结构,能把某一员工的姓名转换为它对应的工号,再根据工号查找该员工的完整信息呢?没错此时就可以使用哈希表的哈希函数来实现。 -- 案例二:存储联系人和对应的电话号码:当要查找张三(比如)的号码时,若使用数组:由于**不知道存储张三数据对象的下标值**,所以**查找起来十分麻烦**,使用**链表时也同样麻烦**。而使用哈希表就能通过**哈希函数**把张三这个名称**转换**为它对应的**下标值**,再通过下标值查找效率就非常高了。 - -也就是说:哈希表最后还是基于数组来实现的,只不过**哈希表能够通过哈希函数把字符串转化为对应的下标值,建立字符串和下标值的映射关系**。 - -### 3. 关于哈希表的一些概念 - -- **哈希化** - 将**大数字**转化成**数组范围内下标**的过程,称之为哈希化。 - -- **哈希函数** - 我们通常会将单词转化成大数字,把大数字进行哈希化的代码实现放在一个函数中,该函数就称为哈希函数。 - -- **哈希表** - 对最终数据插入的数组进行整个结构的封装,得到的就是哈希表。 - -### 4. 认识哈希化 - -为了把字符串转化为对应的下标值,需要有一套编码系统,为了方便理解我们创建这样一套编码系统:比如 a 为 1,b 为 2,c 为 3,以此类推 z 为 26,空格为 27(不考虑大写情况)。 - -有了编码系统后,将字母转化为数字也有很多种方案: - -- 方案一:数字相加 - 例如 cats 转化为数字:`3 + 1 + 20 + 19 = 43`,那么就把 43 作为 cats 单词的下标值储存在数组中; - 但是这种方式会存在这样的问题:很多的单词按照该方式转化为数字后都是 43,比如 was。而在数组中一个下标值只能储存一个数据,所以该方式不合理。 - -- 方案二:幂的连乘 - 我们平时使用的大于 10 的数字,就是用幂的连乘来表示它的唯一性的。 比如: `6543 = 6 * 10^3 + 5 * 10^2 + 4 * 10 + 3`;这样单词也可以用该种方式来表示:`cats = 3 * 27^3 + 1 * 27^2 + 20 * 27 + 17 = 60337`。 - 虽然该方式可以保证字符的唯一性,但是如果是较长的字符(如 aaaaaaaaaa)所表示的数字就非常大,此时要求很大容量的数组,然而其中却有许多下标值指向的是无效的数据(比如不存在 zxcvvv 这样的单词),造成了数组空间的浪费。 - -两种方案总结: - -- 第一种方案(让数字相加求和)产生的数组下标太少。 -- 第二种方案(与 27 的幂相乘求和)产生的数组下标又太多。 - -现在需要一种压缩方法,把幂的连乘方案系统中得到的**巨大整数范围压缩到可接受的数组范围中**。可以通过==取余==操作来实现。虽然取余操作得到的结构也有可能重复,但是可以通过其他方式解决。 - -### 5. 解决哈希化后地址仍然冲突的方法 - -#### 5.1 拉链法 - -如下图所示,我们将每一个数字都对**10**进行取余操作,则余数的范围**0~9**作为数组的下标值。并且,数组每一个下标值对应的位置存储的不再是一个数字了,而是存储由经过取余操作后得到相同余数的数字组成的**数组**或**链表** - -
- -
拉链法
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- -这样可以根据下标值获取到整个数组或链表,之后继续在数组或链表中查找就可以了。而且,产生冲突的元素一般不会太多。 - -**总结**:链地址法解决冲突的办法是每个数组单元中存储的不再是单个数据,而是一条链条,这条链条常使用的数据结构为数组或链表,两种数据结构查找的效率相当(因为链条的元素一般不会太多) - -#### 5.2 开放地址法 - -> 开放地址法的主要工作方式是寻找空白的单元格来放置冲突的数据项。 - -
- -
开放地址法
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- -根据探测空白单元格位置方式的不同,可分为三种方法: - -- 线性探测 -- 二次探测 -- 再哈希法 - -##### 5.2.1 线性探测 - -下面我们根据上图举例感受一下什么是线性探测 - -- 当插入 13 时: - 经过哈希化(对 10 取余)之后得到的下标值 index=3,但是该位置已经放置了数据 33。而线性探测就是从 index 位置+1 开始向后一个一个来查找合适的位置来放置 13,所谓合适的位置指的是空的位置,如上图中 index=4 的位置就是合适的位置。 - -- 当查询 13 时: - - 首先 13 经过哈希化得到 index=3,如果 index=3 的位置存放的数据与需要查询的数据 13 相同,就直接返回; 不相同时,则线性查找,从 index+1 位置开始一个一个位置地查找数据 13。 - - 查询过程中不会遍历整个哈希表,只要查询到空位置,就停止,因为插入 13 时不会跳过空位置去插入其他位置。 -- 当删除 13 时: - - 删除操作和上述两种情况类似,但需要注意的是,删除一个数据项时,不能将该位置下标的内容设置为 null,否则会影响到之后其他的查询操作,因为一遇到为 null 的位置就会停止查找。 - - 通常删除一个位置的数据项时,我们可以将它进行特殊处理(比如设置为-1),这样在查找时遇到-1 就知道要继续查找。 - -**线性探测存在的问题:** - -- 线性探测存在一个比较严重的问题,就是**聚集**。 -- 如哈希表中还没插入任何元素时,插入 23、24、25、26、27,这就意味着下标值为 3、4、5、6、7 的位置都放置了数据,这种一连串填充单元就称为聚集。 -- **聚集会影响哈希表的性能,无论是插入/查询/删除都会影响**。 -- 比如插入 13 时就会发现,连续的单元 3~7 都不允许插入数据,并且在插入的过程中需要经历多次这种情况。 - -
- -
线性探测
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- -> 二次探测法可以解决该问题 - -##### 5.2.2 二次探测 - -**上文所说的线性探测存在的问题:** - -- 如果之前的数据是连续插入的,那么新插入的一个数据可能需要探测很长的距离 - -**二次探测是在线性探测的基础上进行了优化:** - -- 线性探测:我们可以看成是步长为 1 的探测,比如从下表值 x 开始,那么线性探测就是按照下标值:x+1、x+2、x+3 等依次探测; -- 二次探测:对步长进行了优化,比如从下标值 x 开始探测:x+1^2^、x+2^2^、x+3^3^ 。 -- 这样**一次性探测比较长的距离,避免了数据聚集带来的影响**。 - -**二次探测存在的问题:** - -- 当插入数据分布性较大的一组数据时,比如:13-163-63-3-213,这种情况会造成步长不一的一种聚集(虽然这种情况出现的概率较线性探测的聚集要小),同样会影响性能。 - -##### 5.2.3 再哈希法 - -在开放地址法中寻找空白单元格的最好的解决方式为再哈希化。 - -- 二次探测的步长是固定的:1,4,9,16 依次类推 -- 现在需要一种方法:**产生一种依赖关键字(数据)的探测序列**,而不是每个关键字探测步长都一样 -- 这样,**不同的关键字即使映射到相同的数组下标,也可以使用不同的探测序列** -- 再哈希法的做法为:**把关键字用另一个哈希函数,再做一次哈希化**,用这次**哈希化的结果作为该关键字的步长** - -第二次哈希化需要满足以下两点: - -- 和第一个哈希函数不同,不然哈希化后的结果仍是原来位置 -- 不能输出为 0,否则每次探测都是原地踏步的死循环 - -**优秀的哈希函数:** - -- stepSize = constant - (key % constant) -- 其中 constant 是**质数**,且**小于数组的容量** -- 例如:stepSize = 5 - (key % 5),满足需求,并且结果不可能为 0 - -**哈希化的效率:** - -哈希表中执行插入和搜索操作效率是非常高的。 - -- 如果没有发生冲突,那么效率就会更高 -- 如果发生冲突,存取时间就依赖后来的探测长度 -- 平均探测长度以及平均存取时间,取决于**填装因子**,\*_随着填装因子变大,探测长度会越来越长。_ - -**装填因子:** - -- 装填因子表示**当前哈希表中已经包含的数据项和整个哈希表长度的比值** -- 装填因子 = 总数据项 / 哈希表长度 -- 开放地址法的装填因子最大为 1,因为只有空白的单元才能放入元素 -- 链地址法的装填因子可以大于 1,因为只要愿意,拉链法可以无限延伸下去 - -**不同探测方式性能的比较:** - -- 线性探测 - - 可以看到,随着装填因子的增大,平均探测长度呈指数形式增长,性能较差。实际情况中,最好的装填因子取决于存储效率和速度之间的平衡,随着装填因子变小,存储效率下降,而速度上升。 - -
- -
- -- 二次探测和再哈希化的性能 - - 二次探测和再哈希法性能相当,它们的性能比线性探测略好。由下图可知,随着装填因子的变大,平均探测长度呈指数形式增长,需要探测的次数也呈指数形式增长,性能不高。 - -
- -
- -- 链地址法的性能 - - 可以看到随着装填因子的增加,平均探测长度呈线性增长,较为平缓。在开发中使用链地址法较多,比如 Java 中的 HashMap 中使用的就是链地址法。 - -
- -
- -### 6. 哈希函数 - -哈希表的优势在于它的速度,所以哈希函数不能采用消耗性能较高的复杂算法。提高速度的一个方法是在哈希函数中尽量减少乘法和除法。 - -性能高的哈希函数应具备以下两个优点: - -- 快速的计算 -- 均匀的分布 - -#### 快速计算 - -霍纳法则:在中国霍纳法则也叫做秦久韶算法,具体算法为: - -
- -
- -求多项式的值时,首先计算最内层括号内一次多项式的值,然后由内向外逐层计算一次多项式的值。这种算法把求 n 次多项式 f(x)的值就转化为求 n 个一次多项式的值。 - -- 变换之前: - - 乘法次数:n(n+1) / 2 次 - - 加法次数:n 次 -- 变换之后: - - 乘法次数:n 次 - - 加法次数:n 次 - -如果使用大 O 表示时间复杂度的话,直接从变换前的 O(N^2)降到了 O(N)。 - -#### 均匀分布 - -在设计哈希表时,我们已经有办法处理映射到相同下标值的情况:链地址法或者开放地址法。但是,为了提供效率,最好的情况还是让数据在哈希表中均匀分布。因此,我们需要在使用常量的地方,尽量使用质数。比如:哈希表的长度、N 次幂的底数等。 - -**Java 中的 HashMap 采用的是链地址法**,哈希化采用的是公式为:**index = HashCode(key) & (Length-1)** 即将数据化为二进制进行与运算,而不是取余运算。这样计算机直接运算二进制数据,效率更高。但是 JavaScript 在进行较大数据的与运算时会出现问题,所以我们使用 JavaScript 实现哈希化时采用**取余运算**。 - -## 二、哈希表的封装 - -### 1. 实现一个哈希函数 - -```js -function hashFunction(str, size) { - // 1.定义hashCode - var hashCode = 0; - // 2.霍纳算法,来计算hashCode的值 - for (var i = 0; i < str.length; i++) { - hashCode = 37 * hashCode + str.charCodeAt(i); - } - // 缩小hashCode的范围 - var index = hashCode % size; - return index; -} -``` - -#### 测试代码 - -```js -hashFunction('abc', 7); //? 4 -hashFunction('cba', 7); //? 3 -hashFunction('nba', 7); //? 5 -hashFunction('mba', 7); //? 1 -``` - -### 2. 哈希表常见操作 - -- `put(key, value)` 插入或修改操作。 -- `get(key)` 获取哈希表中特定位置的元素。 -- `remove(key)` 删除哈希表中特定位置的元素。 -- `isEmpty()` 如果哈希表中不包含任何元素,返回 `trun`,如果哈希表长度大于 0 则返回 `false`。 -- `size()` 返回哈希表包含的元素个数。 -- `resize(value)` 对哈希表进行扩容操作。 - -### 3. 创建哈希表类 - -封装的哈希表的数据结构模型: - -
- -
- -#### 3.1 创建哈希表类 - -```js -// 根据 链地址法(拉链法) 封装哈希表 -function HashTable() { - this.storage = []; - this.count = 0; // 保存已经存放的总数,用于计算装载因 - this.limit = 7; // 数组长度,用于动态扩容 -} -``` - -#### 3.2 实现 put()方法 - -哈希表的插入和修改操作是同一个函数:因为,当使用者传入一个 `[key, value]` 时,如果原来不存在该 key,那么就是插入操作,如果原来已经存在该 key,那么就是修改操作。 - -
- -
- -实现思路: - -- 首先,根据 key 获取索引值 index,目的为将数据插入到 storage 的对应位置; -- 然后,根据索引值取出 bucket,如果 bucket 不存在,先创建 bucket,随后放置在该索引值的位置; -- 接着,判断新增还是修改原来的值。如果已经有值了,就修改该值;如果没有,就执行后续操作。 -- 最后,进行新增数据操作。 - -**代码实现** - -```js -// 1.插入和修改 -HashTable.prototype.put = function (key, value) { - if (typeof key === 'String') { - throw new Error('key must be a string'); - } - - // 1.根据key获取对应的index - var index = this.hashFunction(key, this.limit); - var bucket = this.storage[index]; - if (bucket === undefined) { - bucket = []; - this.storage[index] = bucket; - } - - // 修改操作 - for (var i = 0; i < bucket.length; i++) { - var tuple = bucket[i]; - if (tuple[0] === key) { - tuple[1] = value; - return; - } - } - - // 插入操作 - bucket.push([key, value]); - this.count += 1; -}; -``` - -为了方便测试,我们下面去实现 get 方法 - -#### 3.3 实现 get()方法 - -实现思路: - -- 首先,根据 key 通过哈希函数获取它在 `storage` 中对应的索引值 `index`。 -- 然后,根据索引值获取对应的 `bucket`。 -- 接着,判断获取到的 `bucket` 是否为 `null`,如果为 `null`,直接返回 `null`。 -- 随后,线性遍历 `bucket` 中每一个 `key` 是否等于传入的 `key`。如果等于,直接返回对应的 `value`。 -- 最后,遍历完 `bucket` 后,仍然没有找到对应的 `key`,直接 `return null` 即可。 - -**代码实现** - -```js -// 2.获取操作 -HashTable.prototype.get = function (key) { - if (typeof key === 'String') { - throw new Error('key must be a string'); - } - - var index = this.hashFunction(key, this.limit); - var bucket = this.storage[index]; - - if (bucket === undefined) return null; - // 从 bucket 中线性查找key - for (var i = 0; i < bucket.length; i++) { - var tuple = bucket[i]; - if (tuple[0] === key) { - return tuple[1]; - } - } - // bucket中没有找到返回 null - return null; -}; -``` - -**测试代码** - -```js -//测试代码 -var ht = new HashTable(); -ht.put('abc', '111'); -ht.put('cba', '222'); -ht.put('nba', '333'); -console.log(ht); -console.log(ht.get('abc')); // ? 111 -console.log(ht.get('cba')); // ? 222 -console.log(ht.get('nba')); // ? 333 -// 测试修改 -ht.put('abc', '444'); -console.log(ht.get('abc')); // ? 444Ï -``` - -#### 3.4 实现 remove()方法 - -实现思路: - -- 首先,根据 key 通过哈希函数获取它在 `storage` 中对应的索引值 `index`。 -- 然后,根据索引值获取对应的 `bucket`。 -- 接着,判断获取到的 `bucket` 是否为 `null`,如果为 `null`,直接返回 `null`。 -- 随后,线性查找 `bucket`,寻找对应的数据,并且删除。 -- 最后,依然没有找到,返回 `null`。 - -```js -// 3.删除操作 -HashTable.prototype.remove = function (key) { - if (typeof key === 'String') { - throw new Error('key must be a string'); - } - - var index = this.hashFunction(key, this.limit); - var bucket = this.storage[index]; - - if (bucket === undefined) return null; - - for (var i = 0; i < bucket.length; i++) { - var tuple = bucket[i]; - if (tuple[0] === key) { - bucket.splice(i, 1); - this.count -= 1; - return tuple[1]; - } - } - - return null; -}; -``` - -#### 3.5 实现 isEmpty()方法和 size()方法 - -```js -HashTable.prototype.isEmpty = function () { - return this.count === 0; -}; - -HashTable.prototype.size = function () { - return this.count; -}; -``` - -#### 3.6 哈希表的扩容和压缩 - -为什么需要扩容? - -- 前面我们在哈希表中使用的是长度为 7 的数组,由于使用的是链地址法,装填因子(loadFactor)可以大于 1,所以这个哈希表可以无限制地插入新数据。 -- 但是,随着数据量的增多,storage 中每一个 `index` 对应的 `bucket` 数组(链表)就会越来越长,这就会造成哈希表效率的降低。 - -什么情况下需要扩容? - -- 常见的情况是 `loadFactor > 0.75` 的时候进行扩容。 - -如何进行扩容? - -- 简单的扩容可以直接扩大两倍(关于质数,之后讨论)。 -- 扩容之后所有的数据项都要进行同步修改。 - -实现思路: - -- 首先,定义一个变量,比如 oldStorage 指向原来的 `storage`。 -- 然后,创建一个新的容量更大的数组,让 `this.storage` 指向它。 -- 最后,将 oldStorage 中的每一个 bucket 中的每一个数据取出来依次添加到 `this.storage` 指向的新数组中。 - -
- -
- -#### 3.7 实现 resize()方法 - -装填因子 = 哈希表中数据 / 哈希表长度,即 `loadFactor = count / HashTable.length`。 - -resize 方法,既可以实现哈希表的扩容,也可以实现哈希表容量的压缩。 - -```js -// 4.哈希表扩容 -HashTable.prototype.resize = function (newLimit) { - var oldStorage = this.storage; - this.storage = []; - this.count = 0; - this.limit = newLimit; - for (var i = 0; i < oldStorage.length; i++) { - var bucket = oldStorage[i]; - if (bucket === undefined) continue; - - for (var j = 0; j < bucket.length; j++) { - var tuple = bucket[j]; - this.put(tuple[0], tuple[1]); - } - } -}; -``` - -通常情况下当装填因子 `loadFactor > 0.75` 时,对哈希表进行扩容。在哈希表中的 put 方法中添加如下代码,判断是否需要调用扩容函数进行扩容。 - -```js -// 动态扩容 -if (this.count > this.limit * 0.75) { - let newLimit = this.getPrime(this.limit * 2); - this.resize(newLimit); -} -``` - -当装填因子 `loadFactor < 0.25` 时,对哈希表容量进行压缩。在哈希表中的 remove 方法中添加如下代码,判断是否需要调用扩容函数进行压缩。 - -```js -// 动态减少容量 -if (this.limit > 7 && this.count < this.limit * 0.25) { - let newLimit = this.getPrime(this.limit * 2); - this.resize(newLimit); -} -``` - -这里封装两个工具函数 - -```js -// 判断是否为质数 -HashTable.prototype.isPrime = function (number) { - var temp = parseInt(Math.sqrt(number)); - for (var i = 2; i <= temp; i++) { - if (number % i === 0) { - return false; - } - } - return true; -}; - -// 获取一个质数 -HashTable.prototype.getPrime = function (number) { - while (!this.isPrime(number)) { - number += 1; - } - return number; -}; -``` - -## 三、完整实现 - -```js -// 根据 链地址法(拉链法) 封装哈希表 -function HashTable() { - this.storage = []; - this.count = 0; // 保存已经存放的总数,用于计算装载因 - this.limit = 7; // 数组长度,用于动态扩容 - - HashTable.prototype.hashFunction = function (str, size) { - // 1.定义hashCode - var hashCode = 0; - // 2.霍纳算法,来计算hashCode的值 - // 这里就采用37作为公式里的质数(无强制要求,质数即可) - for (var i = 0; i < str.length; i++) { - hashCode = 37 * hashCode + str.charCodeAt(i); - } - // 缩小hashCode的范围 - var index = hashCode % size; - return index; - }; - - // 1.插入和修改 - HashTable.prototype.put = function (key, value) { - if (typeof key === 'String') { - throw new Error('key must be a string'); - } - - // 1.根据key获取对应的index - var index = this.hashFunction(key, this.limit); - var bucket = this.storage[index]; - if (bucket === undefined) { - bucket = []; - this.storage[index] = bucket; - } - - // 修改操作 - for (var i = 0; i < bucket.length; i++) { - var tuple = bucket[i]; - if (tuple[0] === key) { - tuple[1] = value; - return; - } - } - - // 插入操作 - bucket.push([key, value]); - this.count += 1; - - // 动态扩容 - if (this.count > this.limit * 0.75) { - let newLimit = this.getPrime(this.limit * 2); - this.resize(newLimit); - } - }; - - // 2.获取操作 - HashTable.prototype.get = function (key) { - if (typeof key === 'String') { - throw new Error('key must be a string'); - } - - var index = this.hashFunction(key, this.limit); - var bucket = this.storage[index]; - - if (bucket === undefined) return null; - // 从 bucket 中线性查找key - for (var i = 0; i < bucket.length; i++) { - var tuple = bucket[i]; - if (tuple[0] === key) { - return tuple[1]; - } - } - // bucket中没有找到返回 null - return null; - }; - - // 3.删除操作 - HashTable.prototype.remove = function (key) { - if (typeof key === 'String') { - throw new Error('key must be a string'); - } - - var index = this.hashFunction(key, this.limit); - var bucket = this.storage[index]; - - if (bucket === undefined) return null; - - for (var i = 0; i < bucket.length; i++) { - var tuple = bucket[i]; - if (tuple[0] === key) { - bucket.splice(i, 1); - this.count -= 1; - // 动态减少容量 - if (this.limit > 7 && this.count < this.limit * 0.25) { - let newLimit = this.getPrime(this.limit * 2); - this.resize(newLimit); - } - return tuple[1]; - } - } - - return null; - }; - - HashTable.prototype.isEmpty = function () { - return this.count === 0; - }; - - HashTable.prototype.size = function () { - return this.count; - }; - - // 4.哈希表扩容 - HashTable.prototype.resize = function (newLimit) { - var oldStorage = this.storage; - this.storage = []; - this.count = 0; - this.limit = newLimit; - for (var i = 0; i < oldStorage.length; i++) { - var bucket = oldStorage[i]; - if (bucket === undefined) continue; - - for (var j = 0; j < bucket.length; j++) { - var tuple = bucket[j]; - this.put(tuple[0], tuple[1]); - } - } - }; - - // 判断是否为质数 - HashTable.prototype.isPrime = function (number) { - var temp = parseInt(Math.sqrt(number)); - for (var i = 2; i <= temp; i++) { - if (number % i === 0) { - return false; - } - } - return true; - }; - - // 获取一个质数 - HashTable.prototype.getPrime = function (number) { - while (!this.isPrime(number)) { - number += 1; - } - return number; - }; -} - -//测试代码 - -var ht = new HashTable(); -ht.put('abc', '111'); -ht.put('cba', '222'); -ht.put('nba', '333'); -console.log(ht); -console.log(ht.get('abc')); // ? 111 -console.log(ht.get('cba')); // ? 222 -console.log(ht.get('nba')); // ? 333 - -ht.put('abc', '444'); -console.log(ht.get('abc')); // ? 444 -ht.remove('abc'); -console.log(ht.get('abc')); // ? null -``` diff --git a/docs/data-structure/08_tree&binary_tree.md b/docs/data-structure/08_tree&binary_tree.md deleted file mode 100644 index b78911e..0000000 --- a/docs/data-structure/08_tree&binary_tree.md +++ /dev/null @@ -1,252 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 8 ---- - -# 树(Tree)和二叉树(BinaryTree) - -## 一、树结构的介绍 - -我们大家都见过现实生活中的树 🌲,例如: - -
- -
世界十大名树全球最著名的树盘点其中一棵位于我国台湾
-
- -### 1.1 树的特点: - -- 树一般都有一个**根**,连接着根的是**树干** -- 树干会发生**分叉**,形成许多树枝,树枝会继续分化成更小的树枝 -- 树枝的最后是**叶子** - -现实生活中很多结构都是树的抽象,模拟的树结构相当于旋转`180°`的树,如下: - -
- -
- -### 1.2 树结构 对比于数组/链表/哈希表 有哪些**优势**呢? - -**数组:** - -- 优点:可以通过**下标值访问**,效率高; -- 缺点:查找数据时需要先对数据进行**排序**,生成**有序数组**,才能提高查找效率;并且在插入和删除元素时,需要大量的**位移操作**; - -**链表:** - -- 优点:数据的插入和删除操作效率都很高; -- 缺点:**查找**效率低,需要从头开始依次查找,直到找到目标数据为止;当需要在链表中间位置插入或删除数据时,插入或删除的效率都不高。 - -**哈希表:** - -- 优点:哈希表的插入/查询/删除效率都非常高; -- 缺点:**空间利用率不高**,底层使用的数组中很多单元没有被利用;并且哈希表中的元素是**无序**的,不能按照固定顺序遍历哈希表中的元素;而且不能快速找出哈希表中**最大值或最小值**这些特殊值。 - -**树结构:** - -优点:树结构综合了上述三种结构的优点,同时也弥补了它们存在的缺点(虽然效率不一定都比它们高),比如树结构中数据都是有序的,查找效率高;空间利用率高;并且可以快速获取最大值和最小值等。 - -总结:**每种数据结构都有自己特定的应用场景** - -## 二、认识树结构 - -> **树(Tree)**:由 n(n ≥ 0)个节点构成的**有限集合**。当 n = 0 时,称为**空树**。 - -对于任一棵非空树(n > 0),它具备以下性质: - -- 数中有一个称为 **根(Root)** 的特殊节点,用 **r** 表示; -- 其余节点可分为 m(m > 0)个互不相交的有限集合 T1,T2,...,Tm,其中每个集合本身又是一棵树,称为原来树的**子树(SubTree)**。 - -### 2.1 树的常用术语: - -
- -
- -- **节点的度(Degree)**:节点的**子树个数**,比如节点 B 的度为 2 -- **树的度**:树的所有节点中**最大的度数**,如上图树的度为 2 -- **叶节点(Leaf)**:**度为 0 的节点**(也称为叶子节点),如上图的 H,I,J 等 -- **父节点(Parent)**:度不为 0 的节点称为父节点,如上图节点 B 是节点 D 和 E 的父节点 -- **子节点(Child)**:若 B 是 D 的父节点,那么 D 就是 B 的子节点 -- **兄弟节点(Sibling)**:具有同一父节点的各节点彼此是兄弟节点,比如上图的 B 和 C,D 和 E 互为兄弟节点 -- **路径和路径长度**:路径指的是一个节点到另一节点的通道,路径所包含边的个数称为路径长度,比如 A->H 的路径长度为 3 -- **节点的层次(Level)**:规定**根节点在 1 层**,其他任一节点的层数是其父节点的**层数加 1**。如 B 和 C 节点的层次为 2 -- **树的深度(Depth)**:树种所有节点中的**最大层次**是这棵树的深度,如上图树的深度为 4 - -### 2.2 数结构的表示方式 - -#### 2.2.1 常见的表示方法 - -
- -
- -如图,树结构的组成方式类**似于链表**,都是由一个个节点连接构成。 - -不过,根据每个父节点子节点数量的不同,每一个父节点需要的引用数量也不同。 - -比如:节点 A 需要 3 个引用,分别指向子节点 B,C,D;而 B 节点需要 2 个引用,分别指向子节点 E 和 F;K 节点由于没有子节点,所以不需要引用。 - -这种方法**缺点**在于我们**无法确定某一结点的引用数** - -#### 2.2.2 **儿子-兄弟表示法** - -
- -
- -这种表示方法可以完整地记录每个节点的数据,比如 - -```js -//节点A -Node{ - //存储数据 - this.data = data - //统一只记录左边的子节点 - this.leftChild = B - //统一只记录右边的第一个兄弟节点 - this.rightSibling = null -} - -//节点B -Node{ - this.data = data - this.leftChild = E - this.rightSibling = C -} - -//节点F -Node{ - this.data = data - this.leftChild = null - this.rightSibling = null -} -``` - -这种表示法的优点在于每一个节点中引用的数量都是确定的 - -#### 2.2.3 将儿子-兄弟表示法 选择 - -将儿子-兄弟表示法旋转后会打开一个新世界,让我们一步一步揭开新世界的大门,下面是儿子-兄弟表示法**尚未旋转**的结构 - -
- -
- -将其顺时针旋转 45° 之后: - -![image-20200229235549522](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202201121428140.png) - -这样就成为了一棵**二叉树**,由此我们可以得出结论:**任何树都可以通过二叉树进行模拟**。 - -问:但是这样父节点不是变了吗? - -其实,父节点的设置只是为了方便指向子节点,在代码实现中谁是父节点并没有关系,只要能正确找到对应节点即可 - -## 三、二叉树的介绍 - -#### 3.1 什么是二叉树? - -
- -
- -正如上图所示:如果树中的每一个节点最多只能由**两个子节点**,这样的树就称为**二叉树** - -二叉树**十分重要**,不仅仅是因为简单,更是因为几乎所有的树都可以表示成二叉树形式。 - -#### 3.2 二叉树的组成: - -- 二叉树可以为空,也就是可以没有节点; -- 若二叉树不为空,则它由根节点和称为其**左子树 TL**和**右子树 TR**的两个不相交的二叉树组成; - -#### 3.3 二叉树的五种形态 - -
- -
- -上图分别表示:**空的二叉树**、只有**一个节点的二叉树**、只有**左子树 TL**的二叉树、只有**右子树 TR**的二叉树、有左右**两个子树的二叉树** - -#### 3.4 二叉树的特性 - -- 一个二叉树的**第 i 层的最多有 2 ^ (i-1)个节点,i >= 1** -- 一个**深度为 k 的二叉树的最多有(2 ^ k) - 1 个节点,k >= 1** -- 对任何非空二叉树,若 n0 表示叶子节点的个数,n2 表示度为 2 的非叶子节点个数,那么两者满足关系:n0 = n2 + 1; - - 如下图所示:H,E,I,J,G 为叶子节点,总数为 5; - - A,B,C,F 为度为 2 的非叶子节点,总数为 4; - - 满足 n0 = n2 + 1 的规律 - -
- -
- -#### 3.5 特殊的二叉树 - -##### 3.5.1 完美二叉树 |满二叉树 - -完美二叉树(Perfect Binary Tree)也成为满二叉树(Full Binary Tree),在二叉树中,除了最下一层的叶子节点外,每层节点都有 2 个子节点,这就构成了完美二叉树 - -
- -
- -##### 3.5.2 完全二叉树 - -- 除了**二叉树最后一层外**,其他各层的节点数都达到了**最大值** -- 并且,最后一层的叶子节点**从左向右是连续存在**,**只缺失右侧若干叶子节点** -- **完美二叉树是特殊的完全二叉树** - -
- -
- -在上图中,由于**H 缺失了右子节点**,所以它**不是**完全二叉树,若 H 存在右子节点,那么上图就是一颗完全二叉树 - -#### 3.6 二叉树的数据存储 - -常见的二叉树存储方式为**数组和链表**: - -##### 3.6.1 使用数组存储数据 - -**完全二叉树**:按从上到下,从左到右的方式存储数据 - -
- -
- -| 节点 | A | B | C | D | E | F | G | H | -| :------: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | -| **序号** | **1** | **2** | **3** | **4** | **5** | **6** | **7** | **8** | - -使用数组存储时,取数据的时候也十分方便: - -- **左子节点的序号等于父节点序号 \* 2**,**右子节点的序号等于父节点序号 \* 2 + 1** - -- 例如:H 节点的数据是 D 节点数据 * 2 ,也就是 4*2= 8,I 节点的数据是 D 节点数据 * 2 + 1,也就是 4*2+1 = 9 - -**非完全二叉树**:非完全二叉树需要转换成完全二叉树才能按照上面的方案存储,这样会**浪费**很大的**存储空间** - -
- -
- -| 节点 | A | B | C | ^ | ^ | F | ^ | ^ | ^ | ^ | ^ | ^ | M | -| :------: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :----: | :----: | :----: | :----: | -| **序号** | **1** | **2** | **3** | **4** | **5** | **6** | **7** | **8** | **9** | **10** | **11** | **12** | **13** | - -所以,对于非完全二叉树,一般都是使用**链表**进行数据存储 - -##### 3.6.2 使用链表存储数据 - -每一个节点封装成一个 Node,Node 中包含存储的数据、左节点的引用和右节点的引用 - -
- -
diff --git a/docs/data-structure/09_binary_search_tree.md b/docs/data-structure/09_binary_search_tree.md deleted file mode 100644 index 1e834db..0000000 --- a/docs/data-structure/09_binary_search_tree.md +++ /dev/null @@ -1,1308 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 9 ---- - -# 二叉搜索树(BinarySearchTree) - -## 一、对二叉搜索树的介绍 - -> 二叉搜索树(BST,Binary Search Tree),也称为二叉排序树和二叉查找树 - -### 1. 二叉搜索树的特性 - -- 非空左子树的所有键值小于其根节点的键值。比如:下图三,中节点 6 的所有非空左子树的键值都小于 6 -- 非空右子树的所有键值大于其根节点的键值;比如:下图三,中节点 6 的所有非空右子树的键值都大于 6; -- 左、右子树本身也都是二叉搜索树 - -
- -
- -图二和图三符合二叉搜索树的特效,所以属于二叉树 - -图一中的节点 5 要比节点 7 大,不符合二叉搜索树的特性, 所以不是二叉树 - -**总结**:二叉搜索树的特点主要是**较小的值总是保存在左节点上**,相对**较大的值总是保存在右节点**上。这种特点使得二叉搜索树的**查询效率非常高**,这也就是二叉搜索树中“搜索”的来源。 - -### 2. 二叉搜索树应用举例 - -
- -
- -上面是一个二叉搜索树,我们若想在其中找到数据 10,只需要查找 4 次,查找效率非常高有木有! - -查找步骤图解: - -
- -
- -- 第 1 次:将 10 与根节点 9 进行比较,由于 10 > 9,所以 10 下一步与根节点 9 的右子节点 13 比较; -- 第 2 次:由于 10 < 13,所以 10 下一步与父节点 13 的左子节点 11 比较; -- 第 3 次:由于 10 < 11,所以 10 下一步与父节点 11 的左子节点 10 比较; -- 第 4 次:由于 10 = 10,最终查找到数据 10 -- 总结:有没有觉得很像**二分查找** - -下面看一下数组这种数据结构 的查找效率: - -
- -
- -同样是 15 个数据,在排序好的数组中查询数据 10,需要查询 10 次 - -其实:如果是排序好的数组,可以通过二分查找:第一次找 9,第二次找 13,第三次找 15...。我们发现如果把**每次二分的数据拿出来以树的形式表示的话就是二叉搜索树**。这就是数组二分法查找效率之所以高的原因 - -### 3. 二叉搜索树的基本属性 - -
- -
- -二叉搜索树有四个最基本的属性:指向节点的**根**(root),节点中的**键**(key)、**左指针**(right)、**右指针**(right) - -用代码的方式体现: - -```js -function BinarySearchTree() { - // 节点类 - function Node(key) { - this.left = null; // 左指针 - this.key = key; - this.right = null; // 右指针 - } - - this.root = null; // 根节点 -} -``` - -## 二、对二叉搜索树的封装 - -### 二叉搜索树的常见操作: - -- `insert(key)`:向树中插入一个新的键 -- `search(key)`:在树中查找一个键,如果节点存在,则返回 true;如果不存在,则返回 false -- `midOrderTraversal`:通过中序遍历方式遍历所有节点 -- `preOrderTraversal`:通过先序遍历方式遍历所有节点 -- `postOrderTraversal`:通过后序遍历方式遍历所有节点 -- `min`:返回树中最小的值/键 -- `max`:返回树中最大的值/键 -- `remove(key)`:从树中移除某个键 - -### 1. 实现 insert()方法 - -```js -BinarySearchTree.prototype.insert = function (key) { - // 1. 创建一个节点类 - var newNode = new Node(key); - // 2. 判断根节点是否为空 - if (this.root === null) { - // 2.1 直接插入新的节点 - this.root = newNode; - } else { - // 2.2 插入节点类,实现根节点非空时的插入 - this._insertNode(this.root, newNode); - } -}; -``` - -#### 1.1 \_insertNode 方法的实现 - -思路:比较 传入的两个节点(root 和要插入的节点) 的大小,寻找新节点适合插入的位置,直到成功插入新节点为止 - -这里先看一眼**代码实现**,然后再看图解步骤: - -```js -BinarySearchTree.prototype._insertNode = function (node, newNode) { - // 向左寻找 - if (node.key > newNode.key) { - if (node.left === null) { - node.left = newNode; - } else { - this._insertNode(node.left, newNode); - } - } else { - // 向右寻找 - if (node.right === null) { - node.right = newNode; - } else { - this._insertNode(node.right, newNode); - } - } -}; -``` - -根据传入两个节点的比较分为两种情况: - -##### 1.1.1 newNode.key < node.key 时 - -根据二叉搜索树的特性,新节点的位置肯定在 node 节点的左子树, - -- 情况 1:若 node 节点的左子树是 null,那么说明 node 没有左子树,其实这个时候 newNode 已经找到合适的位置,让 newNode 插入到 node 的 left 即可 -- 情况 2:若 node 节点的左子树**有值存在**,那么需要在 node 的左子树去寻找新节点的插入位置,所以这里需要递归的查找下去并插入面,查找过程如下图所示: - -
- -
- -##### 1.1.2 newNode.key > node.key 时 - -这时候遇到的情况,根上面刚好相反,新节点的位置肯定在 node 节点的右子树嘛,也是需要递归的找到合适的插入位置并插入即可,查找插入过程如图所示: - -
- -
- -#### 测试代码 - -```js -// 测试代码 -var bst = new BinarySearchTree(); - -bst.insert(11); -bst.insert(7); -bst.insert(15); -bst.insert(5); -bst.insert(9); -console.log('[ bst ] >', bst); -``` - -结构化一下测试数据应该是这样的一颗树: - -
- -
- -### 2. 对二叉搜索树的遍历 - -这里所说的树的遍历**不仅仅针对二叉搜索树**,而是**适用于所有的二叉树**。 - -由于树结构不是线性结构,所以遍历方式有多种选择,常见的三种二叉树遍历方式为: - -- 先序遍历 > ==前序位置的代码在刚刚进入一个二叉树节点的时候执行== -- 中序遍历 > ==后序位置的代码在将要离开一个二叉树节点的时候执行== -- 后序遍历 > ==中序位置的代码在一个二叉树节点左子树都遍历完,即将开始遍历右子树的时候执行== - -还有层序遍历,使用较少,理解上面高亮部分的内容,对刷 leetcode 非常有好处 - -
- -
- -#### 2.1 先序遍历 - -先序遍历的过程为: - -- 首先,遍历根节点 -- 然后,遍历其左子树 -- 最后,遍历其右子树 - -示例: - -
- -
- -如上图所示,二叉树的节点遍历顺序为:A -> B -> D -> H -> I -> E -> C -> F -> G。 - -##### 2.1.1 代码实现 - -```js -//1.先序遍历 ==> 根 -> 左 -> 右 -BinarySearchTree.prototype.preOrderTraversal = function (handler) { - this._preOrderTraversalNode(this.root, handler); -}; - -BinarySearchTree.prototype._preOrderTraversalNode = function (node, handler) { - if (node !== null) { - // 1.处理经过的节点 - handler(node.key); - // 2.处理左节点 - this._preOrderTraversalNode(node.left, handler); - // 3.处理右节点 - this._preOrderTraversalNode(node.right, handler); - } -}; -``` - -##### 2.1.2 过程详解 - -以遍历以下二叉搜索树为例: - -
- -
- -首先调用 preOrderTraversal 方法,在方法里再调用 preOrderTraversalNode 方法用于遍历二叉搜索树。在 preOrderTraversalNode 方法中,递归 1 负责遍历左子节点,递归 2 负责遍历右子节点。先执行递归 1,执行过程如下图所示: - -> 这里用:preOrderTraversalNode() 表示为 A(),方便图解 - -
- -
- -可以看到一共递归调用了 4 次方法 A,分别传入 11、7、5、3,最后遇到 null 不满足 node != null 条件结束递归 1。 - -注意此时只是执行完最开始的递归 1,并没有执行递归 2,并且递归 1 执行到 null 停止后要一层层地往上返回,按顺序将调用的函数压出函数调用栈。 - -关于函数调用栈:之前的四次递归共把 4 个函数压入了函数调用栈,现在递归执行完了一层层地把函数压出栈。 - -值得注意的是:每一层函数都只是执行完了递归 1,当返回到该层函数时,比如 A(3)要继续执行递归 2 遍历二叉搜索树中的右子节点。 - -在执行递归 2 的过程中会不断调用方法 A,并依次执行递归 1 和递归 2,以此类推直到遇到 null 不满足 node != null 条件为止,才停止递归并一层层返回,如此循环。同理 A(5)层、A(7)层、A(11)层都要经历上述循环,直到将二叉搜索树中的节点全部遍历完为止。 - -具体过程如下图所示: - -
- -
- -##### 2.1.3 测试代码 - -```js -// 测试代码 -var bst = new BinarySearchTree(); - -bst.insert(11); -bst.insert(7); -bst.insert(15); -bst.insert(5); -bst.insert(3); -bst.insert(9); -bst.insert(8); -bst.insert(10); -bst.insert(13); -bst.insert(12); -bst.insert(14); -bst.insert(20); -bst.insert(18); -bst.insert(25); -bst.insert(6); - -var resString = ' '; -bst.preOrderTraversal(function (key) { - resString += key + ' '; -}); -console.log(resString); // ? 11 7 5 3 6 9 8 10 15 13 12 14 20 18 25 -``` - -#### 2.2 中序遍历 - -实现思路:与先序遍历原理相同,只不过是遍历的顺序不一样了。 - -- 首先,遍历其左子树 -- 然后,遍历根(父)节点 -- 最后,遍历其右子树 - -##### 2.2.1 代码实现 - -```js -// 2.中序遍历 ==> 左 -> 根 -> 右 -BinarySearchTree.prototype.midOrderTraversal = function (handler) { - this._midOrderTraversalNode(this.root, handler); -}; - -BinarySearchTree.prototype._midOrderTraversalNode = function (node, handler) { - if (node !== null) { - // 1.处理左节点 - this._midOrderTraversalNode(node.left, handler); - // 2.处理经过的节点 - handler(node.key); - // 3.处理右节点 - this._midOrderTraversalNode(node.right, handler); - } -}; -``` - -##### 2.2.2 过程详解 - -遍历的顺序应如下图所示: - -
- -
- -首先调用 midOrderTraversal 方法,在方法里再调用 midOrderTraversalNode 方法用于遍历二叉搜索树。 - -先使用递归 1 遍历左子树中的节点;然后,处理父节点;最后,遍历右子树中的节点。 - -##### 2.2.3 测试代码 - -```js -// 插入顺序和先序遍历的插入一样,这里就省略了,也可以看上图,验证中序遍历的结果 -var resString = ' '; -bst.midOrderTraversal(function (key) { - resString += key + ' '; -}); -console.log(resString); // ? 3 5 6 7 8 9 10 11 12 13 14 15 18 20 25 -``` - -#### 2.3 后序遍历 - -实现思路:与先序遍历原理相同,只不过是遍历的顺序不一样了。 - -- 首先,遍历其左子树 -- 然后,遍历其右子树 -- 最后,遍历根(父)节点 - -##### 2.3.1 代码实现 - -```js -// 3.后序遍历 ==> 左 -> 右 -> 根 -BinarySearchTree.prototype.postOrderTraversal = function (handler) { - this._postOrderTraversalNode(this.root, handler); -}; - -BinarySearchTree.prototype._postOrderTraversalNode = function (node, handler) { - if (node !== null) { - // 1.处理左节点 - this._postOrderTraversalNode(node.left, handler); - // 2.处理右节点 - this._postOrderTraversalNode(node.right, handler); - // 3.处理经过的节点 - handler(node.key); - } -}; -``` - -##### 2.3.2 过程详解 - -遍历的顺序应如下图所示: - -
- -
- -首先调用 postOrderTraversal 方法,在方法里再调用 postOrderTraversalNode 方法用于遍历二叉搜索树。 - -先使用递归 1 遍历左子树中的节点;然后,遍历右子树中的节点;最后,处理父节点。 - -##### 2.3.3 测试代码 - -```js -var resString = ' '; -bst.postOrderTraversal(function (key) { - resString += key + ' '; -}); -console.log(resString); // ? 3 6 5 8 10 9 7 12 14 13 18 25 20 15 11 -``` - -### 3. 对二叉搜索树的搜索 - -#### 3.1 搜索最大值&最小值 - -在二叉搜索树中查找最值非常简单,最小值在二叉搜索树的最左边,最大值在二叉搜索树的最右边。只需要一直向左/右查找就能得到最值,如下图所示: - -
- -
- -##### 代码实现 - -```js -BinarySearchTree.prototype.min = function () { - var node = this.root; - while (node.left !== null) { - node = node.left; - } - return node.key; -}; - -BinarySearchTree.prototype.max = function () { - var node = this.root; - while (node.right !== null) { - node = node.right; - } - return node.key; -}; -``` - -#### 3.2 实现 search() - -search 方法可以返回某个值是否在二叉树中,若存在返回 true,不存在返回 false - -查找二叉搜索树当中的特定值效率也非常高。只需要从根节点开始将需要查找节点的 key 值与之比较,若**node.key < root**则向左查找,若**node.key > root**就向右查找,直到找到或查找到 null 为止。这里可以使用递归实现,也可以采用循环来实现 - -##### 3.2.1 代码实现 - -```js -BinarySearchTree.prototype.search = function (key) { - return this._searchNode(this.root, key); -}; -BinarySearchTree.prototype._searchNode = function (node, key) { - // 这里使用while循环 - var node = this.root; - while (node !== null) { - if (key < node.key) { - node = node.left; - } else if (key > node.key) { - node = node.right; - } else { - return true; - } - } - return false; - - // 递归调用,占用空间, - // if (node === null) return false; - // if (node.key < key) { - // // 查找右边的树 - // this._searchNode(node.right, key); - // } else if (node.key > key) { - // //查找左边的树 - // this._searchNode(node.left, key); - // } else { - // // 相等情况,说明找到 - // return true; - // } -}; -``` - -##### 3.2.2 测试代码 - -```js -// 测试代码 -var bst = new BinarySearchTree(); - -bst.insert(11); -bst.insert(7); -bst.insert(15); -bst.insert(5); -bst.insert(3); -bst.insert(9); -bst.insert(8); -bst.insert(10); -bst.insert(13); -bst.insert(12); -bst.insert(14); -bst.insert(20); -bst.insert(18); -bst.insert(25); -bst.insert(6); - -bst.search(3); // ? true -bst.search(26124); // ? false -``` - -### 4. 实现 remove()方法 - -> 删除方法要考虑的情况比较多,是一个难点 - -删除思路: - -- 先寻找要删除的节点 - - 若没有找到要删除的节点,说明节点不存在,直接返回 return false 即可 - - 若找到要删除的节点,我们需要先记录下**节点(current)**,以及**删除节点的父节点(parent)**,删除节点是**父节点的左子树还是父节点的右子树(isLeftChild)** - - 若找到删除的节点,我们需要考虑以下 3 种情况 - - 要删除的是**叶子**节点 - - 要删除的节点,只有**一个子节点** - - 要删除的节点,有**两个子节点** - -#### 4.1 寻找要删除的节点 - -```js -BinarySearchTree.prototype.remove = function (key) { - var current = this.root; // current保存要删除的节点 - var parent = null; // 保存要删除节点的父节点 - var isLeftChild = false; // 用于判断要删除的节点是父节点的左节点还是右节点 - - // 寻找要删除的节点 - while (current.key != key) { - parent = current; - if (key < current.key) { - isLeftChild = true; - current = current.left; - } else { - isLeftChild = false; - current = current.right; - } - // 若没有找到,说明不需要删除,返回false - if (current === null) return false; - } -}; -``` - -#### 4.2 找到了要删除的节点 - -当我们通过上面的代码找到了删除的节点,我们需要对以下 3 种情况进行展开 - -- 4.2.1 要删除的是**叶子**节点 -- 4.2.2 要删除的节点,只有**一个子节点** -- 4.2.3 要删除的节点,有**两个子节点** - -##### 4.2.1 要删除的是叶子节点 - -```js -// 找到了对应的节点,进行情况分析 -// 1.删除的是叶子结点 -if (current.left === null && current.right === null) { - // 1.1 删除的是根节点 - if (current === this.root) { - this.root = null; - } else if (isLeftChild) { - parent.left = null; - } else { - parent.right = null; - } -} -``` - -###### 情况分析: - -当该叶子节点为根节点时,如下图所示,此时**current == this.root**,直接通过:**this.root = null**,删除根节点。 - -
- -
- -当该叶子节点不为根节点时也有两种情况,如下图所示: - -
- -
- -若 current = 8,可以通过:`parent.left = null`,删除节点 8 - -若 current = 10,可以通过:`parent.right = null`,删除节点 10 - -##### 4.2.2 要删除的节点只有一个子节点 - -```js -// 此处是要删除的是叶子节点代码... - -// 2.删除的节点只有一个子节点 -else if (current.left === null) { - // 2.1 要删除的是右节点,下面按照一个节点的情况删除即可 - if (current === this.root) { - this.root = current.right; - } else if (isLeftChild) { - parent.left = current.right; - } else { - parent.right = current.right; - } -} else if (current.right === null) { - // 2.2 要删除的是左节点 - if (current === this.root) { - this.root = current.left; - } else if (isLeftChild) { - parent.left = current.left; - } else { - parent.right = current.left; - } -} -``` - -###### 情况分析: - -当 current 存在左子节点时`current.right === null`: - -- 情况 1:current 为根节点`current === this.root`,如节点 11,此时通过:`this.root = current.left`,删除根节点 11 -- 情况 2:current 为父节点 parent 的左子节点`isLeftChild === true`,如节点 5,此时通过:`parent.left = current.left`,删除节点 5 -- 情况 3:current 为父节点 parent 的右子节点`isLeftChild == false`,如节点 9,此时通过:`parent.right = current.left`,删除节点 9 - -
- -
- -当 current 存在右子节点时`current.left === null`: - -- 情况 4:current 为根节点`current === this.root`,如节点 11,此时通过:`this.root = current.right`,删除根节点 11 -- 情况 5:current 为父节点 parent 的左子节点`isLeftChild === true`,如节点 5,此时通过:`parent.left = current.right`,删除节点 5 -- 情况 6:current 为父节点 parent 的右子节点`isLeftChild == false`,如节点 9,此时通过:`parent.right = current.right`,删除节点 9 - -
- -
- -##### 4.2.3 要删除的节点,有**两个子节点** - -> 这种情况比较**棘手**,让我们先来观察一下,这种情况下有没有什么规律可循 - -
- -
- -**删除节点 9** - -在保证删除节点 9 后原二叉树仍为二叉搜索树的前提下,有两种方式: - -- 方式 1:从节点 9 的左子树中选择一合适的节点替代节点 9,可知节点 8 符合要求 -- 方式 2:从节点 9 的右子树中选择一合适的节点替代节点 9,可知节点 10 符合要求 - -
- -
- -**删除节点 7** - -在保证删除节点 7 后原二叉树仍为二叉搜索树的前提下,也有两种方式: - -- 方式 1:从节点 7 的左子树中选择一合适的节点替代节点 7,可知节点 5 符合要求 -- 方式 2:从节点 7 的右子树中选择一合适的节点替代节点 7,可知节点 8 符合要求 - -
- -
- -**删除节点 15** - -在保证删除节点 15 后原树二叉树仍为二叉搜索树的前提下,同样有两种方式: - -- 方式 1:从节点 15 的左子树中选择一合适的节点替代节点 15,可知节点 14 符合要求 -- 方式 2:从节点 15 的右子树中选择一合适的节点替代节点 15,可知节点 18 符合要求 - -
- -
- -相信你已经发现其中的规律了! - -**规律总结:**如果要删除的节点有两个子节点,甚至子节点还有子节点,这种情况下需要从要删除节点**下面的子节点中找到一个合适的节点**,来替换当前的节点。 - -若用 current 表示需要删除的节点,则合适的节点指的是 - -- current 左子树中比 current**小一点点的节点**,即 current**左子树**中的**最大值** -- current 右子树中比 current**大一点点的节点**,即 current**右子树**中的**最小值** - -**前驱&后继** - -在二叉搜索树中,这两个特殊的节点有特殊的名字: - -- 比 current 小一点点的节点,称为 current 节点的**前驱**。比如下图中的节点 5 就是节点 7 的前驱; -- 比 current 大一点点的节点,称为 current 节点的**后继**。比如下图中的节点 8 就是节点 7 的后继; - -
- -
- -**代码实现:** - -- 查找需要被删除的节点 current 的后继时,需要在 current 的**右子树**中查找**最小值**,即在 current 的**右子树**中一直**向左遍历**查找; -- 查找前驱时,则需要在 current 的**左子树**中查找**最大值**,即在 current 的**左子树**中一直**向右遍历**查找。 - -下面只讨论查找 current 后继的情况,查找前驱的原理相同,这里暂不讨论。 - -```js -// 获取后继的节点,即从要删除的节点的右边开始查找最小的值 -BinarySearchTree.prototype.getSuccessor = function (delNode) { - var successor = delNode; // 保存后继 - var current = delNode.right; // 保存删除节点的右子树 - var successorParent = delNode; // 保存后继节点的父节点 - // 循环查找 current 的右子树节点 - while (current !== null) { - successorParent = successor; // 保存父节点 - successor = current; // 保存后继 - current = current.left; - } - // 判断寻找到的后续节点是否直接就是要删除节点的 right - if (successor !== delNode.right) { - successorParent.left = successor.right; - successor.right = delNode.right; - } - - return successor; -}; -``` - -###### 代码实现 - -```js -// 3.有两个子节点(难点) -else { - /** - * 规律:如果要删除的节点有两个子节点,甚至子节点还有子节点, - * 这种情况下需要从要删除节点下面的子节点中找到一个合适的节点,来替换当前的节点 - * 若用 current 表示需要删除的节点,则合适的节点指的是: - * - current 左子树中比 current 小一点点的节点,即 current 左子树中的最大值 - * - current 右子树中比 current 大一点点的节点,即 current 右子树中的最小值 - */ - // 找到后继节点 - var successor = this.getSuccessor(current); - // 判断是否为根节点 - if (this.root === successor) { - this.root = successor; // 使用后继替换根节点 - } else if (isLeftChild) { - parent.left = successor; // 使用后继替换掉 要删除节点的位置 - } else { - parent.right = successor; // 使用后继替换掉 要删除节点的位置 - } - - successor.left = current.left; // 将后继节点的左子树,与要删除节点的左子树相连 -} -// 删除成功 -return true; -}; -``` - -##### 4.2.4 完整的 remove 代码 - -```js -BinarySearchTree.prototype.remove = function (key) { - var current = this.root; // current保存要删除的节点 - var parent = null; // 保存要删除节点的父节点 - var isLeftChild = false; // 用于判断要删除的节点是父节点的左节点还是右节点 - - // 寻找要删除的节点 - while (current.key != key) { - parent = current; - if (key < current.key) { - isLeftChild = true; - current = current.left; - } else { - isLeftChild = false; - current = current.right; - } - // 若没有找到,说明不需要删除,返回false - if (current === null) return false; - } - - // 找到了对应的节点,进行情况分析 - // 1.删除的是叶子结点 - if (current.left === null && current.right === null) { - // 1.1 删除的是根节点 - if (current === this.root) { - this.root = null; - } else if (isLeftChild) { - parent.left = null; - } else { - parent.right = null; - } - } - - // 2.删除的节点只有一个子节点 - else if (current.left === null) { - if (current === this.root) { - this.root = current.right; - } else if (isLeftChild) { - parent.left = current.right; - } else { - parent.right = current.right; - } - } else if (current.right === null) { - if (current === this.root) { - this.root = current.left; - } else if (isLeftChild) { - parent.left = current.left; - } else { - parent.right = current.left; - } - } - // 3.有两个子节点(难点) - else { - /** - * 规律:如果要删除的节点有两个子节点,甚至子节点还有子节点, - * 这种情况下需要从要删除节点下面的子节点中找到一个合适的节点,来替换当前的节点 - * 若用 current 表示需要删除的节点,则合适的节点指的是: - * - current 左子树中比 current 小一点点的节点,即 current 左子树中的最大值 - * - current 右子树中比 current 大一点点的节点,即 current 右子树中的最小值 - */ - var successor = this.getSuccessor(current); - if (this.root === successor) { - this.root = successor; - } else if (isLeftChild) { - parent.left = successor; - } else { - parent.right = successor; - } - - successor.left = current.left; - } - - return true; -}; - -// 获取后继的节点,即从要删除的节点的右边开始查找最小的值 -BinarySearchTree.prototype.getSuccessor = function (delNode) { - var successor = delNode; - var current = delNode.right; - var successorParent = delNode; - - while (current !== null) { - successorParent = successor; - successor = current; - current = current.left; - } - - if (successor !== delNode.right) { - successorParent.left = successor.right; - successor.right = delNode.right; - } - - return successor; -}; -``` - -#### 5. 完整的二叉搜索树代码 - -```js -function BinarySearchTree() { - function Node(key) { - this.left = null; - this.key = key; - this.right = null; - } - - this.root = null; - - BinarySearchTree.prototype.insert = function (key) { - // 1. 创建一个节点类 - var newNode = new Node(key); - // 2. 判断根节点是否为空 - if (this.root === null) { - // 2.1 直接插入新的节点 - this.root = newNode; - } else { - // 2.2 插入节点类,实现根节点非空时的插入 - this._insertNode(this.root, newNode); - } - }; - - BinarySearchTree.prototype._insertNode = function (node, newNode) { - // 向左寻找 - if (node.key > newNode.key) { - if (node.left === null) { - node.left = newNode; - } else { - this._insertNode(node.left, newNode); - } - } else { - // 向右寻找 - if (node.right === null) { - node.right = newNode; - } else { - this._insertNode(node.right, newNode); - } - } - }; - - //1.先序遍历 ==> 根 -> 左 -> 右 - BinarySearchTree.prototype.preOrderTraversal = function (handler) { - this._preOrderTraversalNode(this.root, handler); - }; - - BinarySearchTree.prototype._preOrderTraversalNode = function (node, handler) { - if (node !== null) { - // 1.处理经过的节点 - handler(node.key); - // 2.处理左节点 - this._preOrderTraversalNode(node.left, handler); - // 3.处理右节点 - this._preOrderTraversalNode(node.right, handler); - } - }; - - // 2.中序遍历 ==> 左 -> 根 -> 右 - BinarySearchTree.prototype.midOrderTraversal = function (handler) { - this._midOrderTraversalNode(this.root, handler); - }; - - BinarySearchTree.prototype._midOrderTraversalNode = function (node, handler) { - if (node !== null) { - // 1.处理左节点 - this._midOrderTraversalNode(node.left, handler); - // 2.处理经过的节点 - handler(node.key); - // 3.处理右节点 - this._midOrderTraversalNode(node.right, handler); - } - }; - - // 3.后序遍历 ==> 左 -> 右 -> 根 - BinarySearchTree.prototype.postOrderTraversal = function (handler) { - this._postOrderTraversalNode(this.root, handler); - }; - - BinarySearchTree.prototype._postOrderTraversalNode = function ( - node, - handler, - ) { - if (node !== null) { - // 1.处理左节点 - this._postOrderTraversalNode(node.left, handler); - // 2.处理右节点 - this._postOrderTraversalNode(node.right, handler); - // 3.处理经过的节点 - handler(node.key); - } - }; - - BinarySearchTree.prototype.min = function () { - var node = this.root; - while (node.left !== null) { - node = node.left; - } - return node.key; - }; - - BinarySearchTree.prototype.max = function () { - var node = this.root; - while (node.right !== null) { - node = node.right; - } - return node.key; - }; - - BinarySearchTree.prototype.search = function (key) { - return this._searchNode(this.root, key); - }; - - BinarySearchTree.prototype._searchNode = function (node, key) { - // 这里使用while循环 - var node = this.root; - while (node !== null) { - if (key < node.key) { - node = node.left; - } else if (key > node.key) { - node = node.right; - } else { - return true; - } - } - return false; - - // 递归调用,占用空间, - // if (node === null) return false; - // if (node.key < key) { - // // 查找右边的树 - // this._searchNode(node.right, key); - // } else if (node.key > key) { - // //查找左边的树 - // this._searchNode(node.left, key); - // } else { - // // 相等情况,说明找到 - // return true; - // } - }; - - BinarySearchTree.prototype.remove = function (key) { - var current = this.root; // current保存要删除的节点 - var parent = null; // 保存要删除节点的父节点 - var isLeftChild = false; // 用于判断要删除的节点是父节点的左节点还是右节点 - - // 寻找要删除的节点 - while (current.key != key) { - parent = current; - if (key < current.key) { - isLeftChild = true; - current = current.left; - } else { - isLeftChild = false; - current = current.right; - } - // 若没有找到,说明不需要删除,返回false - if (current === null) return false; - } - - // 找到了对应的节点,进行情况分析 - // 1.删除的是叶子结点 - if (current.left === null && current.right === null) { - // 1.1 删除的是根节点 - if (current === this.root) { - this.root = null; - } else if (isLeftChild) { - parent.left = null; - } else { - parent.right = null; - } - } - - // 2.删除的节点只有一个子节点 - else if (current.left === null) { - if (current === this.root) { - this.root = current.right; - } else if (isLeftChild) { - parent.left = current.right; - } else { - parent.right = current.right; - } - } else if (current.right === null) { - if (current === this.root) { - this.root = current.left; - } else if (isLeftChild) { - parent.left = current.left; - } else { - parent.right = current.left; - } - } - // 3.有两个子节点(难点) - else { - /** - * 规律:如果要删除的节点有两个子节点,甚至子节点还有子节点, - * 这种情况下需要从要删除节点下面的子节点中找到一个合适的节点,来替换当前的节点 - * 若用 current 表示需要删除的节点,则合适的节点指的是: - * - current 左子树中比 current 小一点点的节点,即 current 左子树中的最大值 - * - current 右子树中比 current 大一点点的节点,即 current 右子树中的最小值 - */ - var successor = this.getSuccessor(current); - if (this.root === successor) { - this.root = successor; - } else if (isLeftChild) { - parent.left = successor; - } else { - parent.right = successor; - } - - successor.left = current.left; - } - - return true; - }; - - // 获取后继的节点,即从要删除的节点的右边开始查找最小的值 - BinarySearchTree.prototype.getSuccessor = function (delNode) { - var successor = delNode; - var current = delNode.right; - var successorParent = delNode; - - while (current !== null) { - successorParent = successor; - successor = current; - current = current.left; - } - - if (successor !== delNode.right) { - successorParent.left = successor.right; - successor.right = delNode.right; - } - - return successor; - }; -} - -// 测试代码 -var bst = new BinarySearchTree(); - -bst.insert(11); -bst.insert(7); -bst.insert(15); -bst.insert(5); -bst.insert(3); -bst.insert(9); -bst.insert(8); -bst.insert(10); -bst.insert(13); -bst.insert(12); -bst.insert(14); -bst.insert(20); -bst.insert(18); -bst.insert(25); -bst.insert(6); - -// var resString = " "; -// bst.preOrderTraversal(function (key) { -// resString += key + " "; -// }); -// console.log(resString); // ? 11 7 5 3 6 9 8 10 15 13 12 14 20 18 25 - -// var resString = " "; -// bst.midOrderTraversal(function (key) { -// resString += key + " "; -// }); -// console.log(resString); // ? 3 5 6 7 8 9 10 11 12 13 14 15 18 20 25 - -// var resString = " "; -// bst.postOrderTraversal(function (key) { -// resString += key + " "; -// }); -// console.log(resString); // ? 3 6 5 8 10 9 7 12 14 13 18 25 20 15 11 -// console.log(bst.max()); // ? 25 -// console.log(bst.min()); // ? 3 - -// console.log(bst.remove(8)); -// console.log(bst.remove(7)); -// console.log(bst.remove(78)); - -// var resString = " "; -// bst.midOrderTraversal(function (key) { -// resString += key + " "; -// }); -// console.log(resString); // ? -``` - -## 三、平衡树 - -二叉搜索树的缺陷:当插入的数据是有序的数据,就会造成二叉搜索树的深度过大。 - -比如原二叉搜索树由 11 7 15 组成,如下图所示: - -
- -
- -当插入一组有序数据:6 5 4 3 2 就会变成深度过大的搜索二叉树,会严重影响二叉搜索树的性能。 - -
- -
- -### **非平衡树** - -- 比较好的二叉搜索树,它的数据应该是**左右均匀分布**的 -- 但是插入**连续数据**后,二叉搜索树中的数据分布就变得**不均匀**了,我们称这种树为**非平衡树** -- 对于一棵**平衡二叉树**来说,插入/查找等操作的效率是**O(logN)** -- 而对于一棵**非平衡二叉树**来说,相当于编写了一个链表,查找效率变成了**O(N)** - -### **树的平衡性** - -为了能以**较快的时间 O(logN)**来操作一棵树,我们需要**保证树总是平衡**的 - -- 起码大部分是平衡的,此时的时间复杂度也是接近 O(logN)的; -- 这就要求树中**每个节点左边的子孙节点**的个数,应该尽可能地等于**右边的子孙节点**的个数 - -### **常见的平衡树** - -- **AVL 树**:是最早的一种平衡树,它通过在每个节点多存储一个额外的数据来保持树的平衡。由于 AVL 树是平衡树,所以它的时间复杂度也是 O(logN)。但是它的整体效率不如红黑树,开发中比较少用。 -- **红黑树**:同样通过**一些特性**来保持树的平衡,时间复杂度也是 O(logN)。进行插入/删除等操作时,性能优于 AVL 树,所以平衡树的应用基本都是红黑树。 - -## 四、关于深度优先和广度优先遍历 - -实际开发中,我们直接操作二叉树的情况比较少,但是操作下面这种 tree 机构的情况比较多,而我们对于这种树,最常见的遍历方式就是深度优先遍历(DFS)和广度优先遍历(BFS),所以在这里我简单拓展一下这两种遍历方式 - -```js -const tree = { - val: 'a', - children: [ - { - val: 'b', - children: [ - { - val: 'd', - children: [], - }, - { - val: 'e', - children: [], - }, - ], - }, - { - val: 'c', - children: [ - { - val: 'f', - children: [], - }, - { - val: 'g', - children: [], - }, - ], - }, - ], -}; -``` - -### 1. 深度优先遍历(dfs) - -> 这个算法会尽可能深的搜索树的分支。当节点 v 的所在边都己被探寻过,搜索将回溯到发现节点 v 的那条边的起始节点。这一过程一直进行到已发现从源节点可达的所有节点为止。如果还存在未被发现的节点,则选择其中一个作为源节点并重复以上过程,整个进程反复进行直到所有节点都被访问为止 - -```js -/** - * @param {*} root 根结点 - * 思路 - * 访问根节点 - * 对根节点的子节点诶个进行深度优先遍历 ==> 递归 - */ -const dfs = (root) => { - console.log(root.val); - root.children.forEach(dfs); -}; -dfs(tree); // a,b,d,e,c,f,g -``` - -### 2. 广度优先遍历(bfs) - -> 又译作**宽度优先搜索**,或**横向优先搜索**,是一种[图形搜索算法](https://zh.wikipedia.org/wiki/搜索算法)。简单的说,BFS 是从[根节点]()开始,沿着树的宽度遍历树的[节点](https://zh.wikipedia.org/wiki/节点)。如果所有节点均被访问,则算法中止 - -```js -/** - * @param {*} root 根节点 - * 思路: - * 1.先将根节点放入队列中 - * 2.队头出队,并访问 - * 3.将出队的子节点加入队列 - * 4.重复23步,直到队列为空 - */ -const bfs = (root) => { - let queue = [root]; - while (queue.length > 0) { - const node = queue.shift(); - console.log(node.val); - node.children.forEach((child) => { - queue.push(child); - }); - } -}; -bfs(tree); // a,b,c,d,e,f,g -``` - -## 五、用迭代的方法实现树的三种遍历方式 - -我们这里只讨论先序遍历方式如果使用迭代的方法实现,因为先、中、后序遍历只是顺序上的不一样,当我们理解先序遍历的迭代写法之后,可以举一反三,写出另外两种 - -虽然递归的写法简单易懂,但是如果树的层级过深,很容易出现栈溢出的情况,通常情况下,递归都是可以用迭代的方式实现的,我们这里来考虑一下如何实现 🤔 - -这里回顾一下先序遍历的访问顺序 - -- 先访问当前节点 -- 再遍历左节点 -- 再遍历右节点 - -我们知道访问顺序之后,可以使用**栈结构**来模仿**函数递归时整个调用流程** - -实现步骤: - -- 声明一个栈内存(这里用数组表示) -- 将根节点放入栈中 -- 在栈内元素不为空的情况下,重复以下步骤 - - 取出栈顶元素(第一次取的时候,是根节点) - - 访问取到的元素 - - 若取到的元素有右节点,将右节点入栈 - - 因为先序遍历访问顺序是根==> 左 ==> 右 - - 而栈的特性是先入后出的,所以这里先将右节点入栈,后将左节点入栈,节点出栈时的访问顺序就与先序遍历保存一致了 - - 若取到的元素有左节点,将左节点入栈 - -### 代码实现 - -```js -//1.先序遍历 ==> 根 -> 左 -> 右 -BinarySearchTree.prototype.preOrderTraversal = function (handler) { - // 迭代写法 - let stack = []; // 栈 - stack.push(this.root); // 先将root入栈 - - while (stack.length !== 0) { - let node = stack.pop(); // 1.节点出栈 - handler(node.key); // 2.处理节点 这里做打印即可 - // 3. 因为先序遍历是先打印左节点的值,根据栈先入后出的特性 - // 所以这里需要先让右节点入栈 - if (node.right !== null) { - stack.push(node.right); - } - // 4.左节点入栈 - if (node.left !== null) { - stack.push(node.left); - } - } - - // this._preOrderTraversalNode(this.root, handler); // 递归写法 -}; -``` - -##### 测试代码 - -```js -var resString = ' '; -bst.preOrderTraversal(function (key) { - resString += key + ' '; -}); -console.log(resString); // ? 11 7 5 3 6 9 8 10 15 13 12 14 20 18 25 -// 与递归写法输出顺序保持一致 -``` diff --git a/docs/data-structure/10-red_black_tree.md b/docs/data-structure/10-red_black_tree.md deleted file mode 100644 index f81601b..0000000 --- a/docs/data-structure/10-red_black_tree.md +++ /dev/null @@ -1,371 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 10 ---- - -# 红黑树(RedBlackTree) - -## 一、红黑树的介绍 - -> **红黑树**(Red–black tree)是一种[自平衡二叉查找树](https://zh.wikipedia.org/wiki/自平衡二叉查找树),是在[计算机科学](https://zh.wikipedia.org/wiki/计算机科学)中用到的一种[数据结构](https://zh.wikipedia.org/wiki/数据结构),典型用途是实现[关联数组](https://zh.wikipedia.org/wiki/关联数组)。它在 1972 年由[鲁道夫·贝尔](https://zh.wikipedia.org/wiki/鲁道夫·贝尔)发明,被称为"**对称二叉 B 树**",它现代的名字源于 Leo J. Guibas 和[罗伯特·塞奇威克](https://zh.wikipedia.org/wiki/罗伯特·塞奇威克)于[1978 年](https://zh.wikipedia.org/wiki/1978年)写的一篇论文。 -> -> 红黑树的结构复杂,但它的操作有着良好的最坏情况[运行时间](https://zh.wikipedia.org/wiki/算法分析),并且在实践中高效:它可以在![{\displaystyle {\text{O}}(\log n)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/67697a0b44080bbf967c00d60bf4aac79f9ce385)时间内完成查找、插入和删除,这里的![n](https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b)是树中元素的数目 -> -> ----来自维基百科 - -## 二、红黑树的五条规则 - -红黑树除了符合二叉搜索树的基本规则外,还添加了以下特性: - -- **规则 1:节点是红色或黑色的** -- **规则 2:根节点是黑色的** -- **规则 3:每个叶子节点都是黑色的空节点(NIL 节点)** -- **规则 4:每个红色节点的两个子节点都是黑色的(从每个叶子到根的所有路径上不可能有两个连续的红色节点)** -- **规则 5:从任一节点到其每个叶子节点的所有路径都包含相同数目的黑色节点** - -
- -
- -### 红黑树的相对平衡 - -前面 5 条规则的约束确保了以下红黑树的关键特性: - -- 从**根到叶子节点**的**最长路径**,不会超过**最短路径**的**两倍** -- 结果就是这棵树**基本**是平衡的 -- 虽然没有做到绝对的平衡,但是可以保证在最坏的情况下,该树依然是高效的 - -为什么可以做到**最长路径不超过最短路径的两倍**呢? - -- **性质 4**决定了路径上不能有两个相连的红色节点 -- 所以,最长路径一定是红色节点和黑色节点交替而成的 -- 由于根节点和叶子节点都是黑色的,最短路径可能都是黑色节点,并且最长路径中一定是黑色节点多于红色节点 -- **性质 5**决定了所有路径上都有相同数目的黑色节点 -- 这就表明了没有路径能多于其他任何路径两倍长 - -## 三、红黑树的三种变化 - -插入一个新节点时,有可能树不再平衡,可以通过三种方式的变换使树保持平衡: - -- **变色** -- **左旋转** -- **右旋转** - -### 3.1 变色 - -为了重新符合红黑树的规则,需要把**红色**节点变为**黑色**,或者把**黑色**节点变为**红色** - -插入的**新节点**通常都是**红色节点**: - -- 当插入的节点为**红色**的时候,大多数情况**不违反**红黑树的任何规则 -- 而**插入黑色节点,**必然会导致一条路径上多了一个**黑色节点**,这是很难调整的 -- 红色节点虽然可能导致**红红相连**的情况,但是这种情况可以通过**颜色调换和旋转**来调整 - -### 3.2 左旋转 - -以节点 X 为根**逆时针**旋转二叉搜索树,使得父节点原来的位置被自己的右子节点替代,左子节点的位置被父节点替代 - -
- -
- -**旋转过程详解:** - -如上图所示,左旋转之后: - -- 节点 X 取代了节点 a 原来的位置 -- 节点 Y 取代了节点 X 原来的位置 -- 节点 X 的**左子树** a 仍然是节点 X 的**左子树**(这里 X 的左子树只有一个节点,有多个节点时同样适用,以下同理) -- 节点 Y 的**右子树** c 仍然是节点 Y 的**右子树** -- 节点 Y 的**左子树** b 向**左平移**成为了节点 X 的**右子树** - -除此之外,二叉搜索树左旋转之后仍为二叉搜索树: - -
- -
- -### 3.3 右旋转 - -以节点 X 为根**顺时针**旋转二叉搜索树,使得父节点原来的位置被自己的左子节点替代,右子节点的位置被父节点替代 - -
- -
- -旋转过程详解: - -如上图所示,右旋转之后: - -- 节点 X 取代了节点 a 原来的位置 -- 节点 Y 取代了节点 X 原来的位置 -- 节点 X 的**右子树** a 仍然是节点 X 的**右子树**(这里 X 的右子树虽然只有一个节点,但是多个节点时同样适用,以下同理) -- 节点 Y 的**左子树** b 仍然是节点 Y 的**左子树** -- 节点 Y 的**右子树** c 向**右平移**成为了**节点 X**的**左子树** - -除此之外,二叉搜索树右旋转之后仍为二叉搜索树: - -
- -
- -## 四、红黑树的插入操作 - -首先需要明确,在保证满足红黑树 5 条规则的情况下,新插入的节点必然是**红色节点**。 - -为了方便说明,规定以下四个节点:新插入节点为**N**(Node),N 的父节点为**P**(Parent),P 的兄弟节点为**U**(Uncle),U 的父节点为**G**(Grandpa),如下图所示: - -
- -
- -### 情况 1 - -当插入的新节点 N 位于树的根上时,没有父节点。 - -这种情况下,只需要将**红色**节点**变为黑色**节点即可满足规则 2 。 - -
- -
- -### 情况 2 - -新节点 N 的父节点 P 为黑色节点,此时不需要任何变化。此时既满足规则 4 也满足规则 5。 - -尽管新节点是红色的,但是新节点 N 有两个黑色节点 NIL,所以通向它的路径上黑色节点的个数依然相等,因此满足规则 5 。 - -
- -
- -### 情况 3 - -节点 P 为红色,节点 U 也为红色,此时节点 G 必为黑色,即**父红 叔红 祖黑**。在这种情况下需要: - -- 先将父节点 P 变为黑色 -- 再将叔叔节点 U 变为黑色 -- 最后将祖父节点 G 变为红色 - -即变为**父黑叔黑祖红**,如下图所示: - -
- -
- -可能出现的问题: - -- N 的 **祖父节点 G** 的 **父节点** 也可能是 **红色**,这就违反了规则 4,此时可以通过**递归调整节点颜色** -- 当递归**调整到根节点时**就需要**旋转**了,如下图**节点 A 和节点 B**所示,具体情况后面会介绍 - -
- -
- -### 情况 4 - -节点 P 是红色节点,节点 U 是黑色节点,并且节点 N 为节点 P 的**左子节点**,此时节点 G 一定是黑色节点,即**父红叔黑祖黑**。 - -在这种情况下需要: - -- **先变色**:将父节点 P 变为黑色,将祖父节点 G 变为红色,即**父黑祖红** -- **后旋转**:以**祖父节点 G 为根**进行**右旋转** - -
- -
- -### 情况 5 - -节点 P 是红色节点,节点 U 是黑色节点,并且节点 N 为节点 P 的**右子节点**,此时节点 G 一定是黑色节点,即**父红叔黑祖黑**。 - -在这种情况下需要: - -- 先以**节点 P 为根进行左旋转,** 旋转后如图 b 所示 -- 随后将**红色节点 P 和黑色节点 B**看成一个整体的**红色节点 N1**,将**新插入的红色节点 N** 看成 **红色节点 P1** 如图 c 所示。此时整体就转换为了情况 4。 - -
- -
- -然后可以按照情况 4 进行处理: - -- 先变色:将 N1 节点的父节点 P1 变为黑色,将祖父节点 G 变为红色 -- 后旋转:以祖父节点 G 为根进行右旋转,旋转后如图 e 所示 -- 最后将节点 N1 和 P1 变换回来,完成节点 N 的插入,如图 f 所示 - -
- -
- -## 五、实际插入案例 - -在二叉树中依次插入节点:10,9,8,7,6,5,4,3,2,1 。 - -如果直接采用普通的二叉搜索树,节点全部插入后是这样的: - -
- -
- -是一个严重的**不平衡树**,相当于一个链表,不能体现出二叉搜索树的高效率。而按照红黑树的五条规则插入节点就能最大程度保证搜索二叉树是一棵**平衡树**。 - -以下为在红黑树中实际插入 10,9,9....1 过程的详解,**为了方便解释省略了部分红黑树的叶子节点(NIL)** - -### 插入 10 - -符合**情况 1**: - -- 插入节点 10 -- 将节点 10 的颜色变为黑色 - -
- -
- -### 插入 9 - -符合**情况 2**: - -- 不需要任何变化 - -
- -
- -### 插入 8 - -我们快速判断属于情况 3 还是情况 4 的方法: - -从新插入的**节点 N**出发,按图示箭头经过的四个节点,若为**红红黑红** 三个红色节点则为情况 3,若为**红红黑黑**两个红色节点则为情况 4 - -
- -
- -经过判断,我们插入 8 时符合**情况 4**,所以需要以下操作: - -- 父节点 9 变成黑,祖父节点 10 变为红 -- 以祖父节点为根进行右旋转 - -
- -
- -### 插入 7 - -符合**情况 3**: - -- 父节点 8 和叔节点 10 变为黑,祖父节点 9 变为红 -- 此时会出现问题:不符合规则 2,即根节点不为黑,此时可以把以 9 为根节点的二叉搜索树当作一个整体作为一个新插入的节点 N,而此时又符合情况 1,只需要把 9 变回黑色即可 - -
- -
- -### 插入 6 - -符合**情况 4**: - -- 父节点 7 变为黑,祖父节点 8 变为红 -- 以祖父节点 8 为根进行右旋转 - -
- -
- -### 插入 5 - -符合**情况 3**: - -- 父节点 6 和叔节点 8 变为黑,祖父节点 7 变为红 - -
- -
- -### 插入 4 - -符合**情况 4**: - -- 父节点 5 变为黑,祖父节点 6 变为红 -- 以祖父节点 6 为根进行右旋转 - -
- -
- -### 插入 3 - -**第一次变换**:符合**情况 3**: - -- 父节点 4 和叔节点 6 变为黑,祖父节点 5 变为红 - -变换之后发现 5 和 7 为相连的两个红色节点,于是把以 5 为根的整个子树看成一个新插入的节点 N1,再进行第二次变换。 - -
- -
- -**第二次变换**:符合**情况 4**: - -- 父节点 7 变为黑,祖父节点 9 变为红 -- 以祖父节点 9 为根进行右旋转 - -
- -
- -最后复原 N1 得到变换后的红黑树: - -
- -
- -### 插入 2 - -符合**情况 4**: - -- 父节点 3 变为黑,祖父节点 4 变为红 -- 以祖父节点 4 为根进行右旋转 - -
- -
- -### 插入 1 - -**第一次变换**:符合**情况 3**: - -- 父节点 2 和叔节点 4 变为黑,祖父节点 3 变为红 - -变换之后发现 3 和 5 为相连的两个红色节点,于是把以 3 为根的整个子树看成一个新插入的节点 N1,再进行第二次变换 - -
- -
- -**第二次变换**:符合**情况 3**: - -- **父节点 5 和叔节点 9 变为黑**,**祖父节点 7 变为红** - -变换之后发现根节点 7 为红色不符合规则 2,所以把以 7 为根节点的红黑树看成一个新插入的节点 N2,再进行第三次变换 - -**第三次变换**:符合**情况 1**: - -- 直接将根节点 7 变为黑色即可 - -
- -
- -由此,完成了 1~10 节点的插入,虽然没有遇到情况 5,不过情况 5 经过左旋转的操作便可转换为情况 4,原理一样。如下图所示,将这棵红黑树的叶子节点 NIL 补全之后,经检验满足红黑树的五条规则,并且基本属于**平衡树**,效率较高。 - -
- -
diff --git a/docs/data-structure/11_graph.md b/docs/data-structure/11_graph.md deleted file mode 100644 index ffd06a7..0000000 --- a/docs/data-structure/11_graph.md +++ /dev/null @@ -1,613 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 常见数据结构 - order: 1 -order: 11 ---- - -# 图(Graph) - -## 一、图的介绍 - -### 1. 什么是图? - -- **图结构**是一种与**树结构**有些相似的数据结构 -- **图论**是数学的一个分支,并且,在数学中,树是图的一种 -- 图论以图为研究对象,研究**顶点**和**边**组成的**图形**的数学理论和方法 -- 主要的研究目的为:**事物之间的联系**,**顶点**代表**事物**,**边**代表两个事物间的**关系** - -### 2.图的特点 - -- **一组顶点**:通常用 **V** (Vertex)表示顶点的集合 -- 一组边:通常用 E(Edge)表示边的集合 - - 边是顶点和顶点之间的连线 - - 边可以是有向的,也可以是无向的。比如 A----B 表示无向,A ---> B 表示有向 - -### 3. 图的常用术语: - -- **顶点:**表示图中的一个**节点** -- **边:**表示**顶点和顶点**给之间的**连线** -- **相邻顶点:**由一条边连接在一起的顶点称为**相邻顶点** -- **度:**一个顶点的**度**是**相邻顶点的数量** -- **路径:** - - **简单路径:** 简单路径要求不包含重复的顶点 - - **回路:** 第一个顶点和最后一个顶点**相同**的路径称为回路 -- **无向图:** 图中的所有边都是**没有**方向的 -- **有向图:** 图中的所有边都是**有**方向的 -- **无权图:** 无权图中的边没有任何权重意义 -- **带权图:** 带权图中的边有一定的权重含义 - -### 4. 图的表示 - -#### 4.1 邻接矩阵 - -表示图的常用方式为:**邻接矩阵**,如下图所示 - -- 可以使用二维数组来表示邻接矩阵 -- 邻接矩阵让**每个节点和一个整数相关联**,该**整数作为数组的下标值** -- 使用一个**二维数组**来表示顶点之间的**连接** - -
- -
- -邻接矩阵表示法示例,如上图所示: - -- 二维数组中的**0**表示**没有连线**,**1**表示**有连线** - - 如:A[ 0 ] [ 3 ] = 1,表示 A 和 C 之间有连接 -- 邻接矩阵的对角线上的值都为 0,表示 A - A ,B - B,等**自回路都没有连接**(自己与自己之间没有连接) -- 若为无向图,则邻接矩阵应为对角线上元素全为 0 的对称矩阵 - -##### 邻接矩阵存在的问题: - -- 如果图是一个**稀疏图**,那么邻接矩阵中将存在**大量的 0**,造成**存储空间的浪费** - -#### 4.2 邻接表 - -另外一种表示图的常用方式为:**邻接表**,如下图所示 - -- 邻接表由图中**每个顶点**以及**和顶点相邻的顶点列表**组成 -- 这个列表可用多种方式存储,比如:**数组/链表/字典(哈希表)** 等都可以 - -
- -
- -如上图所示: - -- 图中可清楚看到**A 与 B、C、D 相邻**,假如要表示这些与 A 顶点相邻的顶点(边),可以通过将它们作为 A 的值(value)存入到对应的**数组/链表/字典**中 -- 之后,通过键(key)A,可以十分方便地取出对应的数据 - -##### 邻接表的问题: - -- 邻接表可以简单地得出**出度**,即**某一顶点指向其他顶点的个数**; -- 但是,邻接表计算**入度**(指向某一顶点的其他顶点的个数称为该顶点的入度)十分困难,此时需要构造**逆邻接表**才能有效计算入度 - -## 二、图结构的封装 - -这里我们采用**邻接表**的方式进行封装,使用之前封装过的**字典结构**(也可以理解为 Map)来**存储临近表** - -### 2.1 图类的创建 - -```js -function Graph() { - this.vertexes = []; // 存放顶点 - this.adList = new Dictionary(); // 使用字典结构存放 边 信息 -} -``` - -### 2.2 添加顶点和边 - -- 我们需要创建一个数组对象 vertexes 存储图的顶点 - -- 创建一个字典对象 edges,来存储图的边,其中 key 为顶点值,value 为存储 key 顶点**相邻顶点的数组** -- 如下图所示 - -
- -
- -```js -// 1.添加顶点 -Graph.prototype.addVertex = function (val) { - this.vertexes.push(val); // 添加顶点 - this.adList.set(val, []); // 初始化顶点对应的边 -}; - -// 2.添加边 -Graph.prototype.addEdge = function (val1, val2) { - // 因为边是相互存在的,所以需要存储关联两个顶点的信息 - // 这里实现的是无向图,所以不考虑方向的问题 - this.adList.get(val1).push(val2); - this.adList.get(val2).push(val1); -}; -``` - -### 2.3 实现 toString()方法 - -为图类 Graph 添加 toString 方法,实现以邻接表的形式输出图中各顶点 - -```js -// 3.toString方法 -Graph.prototype.toString = function () { - var resString = ''; - for (var i = 0; i < this.vertexes.length; i++) { - resString += this.vertexes[i] + '->'; - var adList = this.adList.get(this.vertexes[i]); - for (var j = 0; j < adList.length; j++) { - resString += adList[j] + ' '; - } - resString += '\n'; - } - return resString; -}; -``` - -#### 测试代码 - -```js -// 测试代码 -let graph = new Graph(); - -// 添加顶点 -let myVertexes = ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I']; -for (let i = 0; i < myVertexes.length; i++) { - graph.addVertex(myVertexes[i]); -} - -// 添加边 -graph.addEdge('A', 'B'); -graph.addEdge('A', 'C'); -graph.addEdge('A', 'D'); -graph.addEdge('C', 'D'); -graph.addEdge('C', 'G'); -graph.addEdge('D', 'G'); -graph.addEdge('D', 'H'); -graph.addEdge('B', 'E'); -graph.addEdge('B', 'F'); -graph.addEdge('E', 'I'); - -console.log(graph.toString()); -// A->B C D -// B->A E F -// C->A D G -// D->A C G H -// E->B I -// F->B -// G->C D -// H->D -// I->E -``` - -### 2.4 图的遍历方式 - -##### 图的遍历思想: - -- 图的遍历思想与树的遍历思想一样,意味着需要将图中**所有的顶点**都访问一遍,并且不能有**重复的访问**(上面的 toString 方法会重复访问) - -##### 遍历图的两种算法: - -- 广度优先搜索(Breadth - First Search,简称**BFS**) -- 深度优先搜索(Depth - First Search,简称**DFS**) -- 两种遍历算法都需要指定**第一个被访问的顶点** - -为了记录顶点是否被访问过,这里使用**三种颜色**来表示它们的状态 - -- **白色**:表示该顶点还没有被访问过 -- **灰色**:表示该顶点被访问过,但其相邻顶点并未完全被访问过 -- **黑色**:表示该顶点被访问过,且其所有相邻顶点都被访问过 - -首先封装 initializeColor 方法将图中的所有顶点初始化为白色,代码实现如下: - -```js -/** - * 4.初始化顶点颜色 - * 白色表示该顶点还没有被访问. - * 灰色表示该顶点被访问过, 但并未被探索过. - * 黑色表示该顶点被访问过且被完全探索过. - */ -Graph.prototype._initColors = function () { - var colors = []; - for (var i = 0; i < this.vertexes.length; i++) { - colors[this.vertexes[i]] = 'white'; - } - return colors; -}; -``` - -### 2.5 广度优先搜索(BFS) - -#### 思路: - -- 广度优先搜索算法会从指定的第一个顶点开始遍历图,先访问其所有的相邻顶点,就像一次访问图的一层 -- 也可以说是**先宽后深**地遍历图中的各个顶点 - -
- -
- -#### **实现思路:** - -基于**队列**可以简单地实现广度优先搜索算法: - -- 首先创建一个队列 Q(尾部进,首部出) -- 调用封装的 initializeColor 方法将所有顶点初始化为白色 -- 指定第一个顶点 A,将 A 标注为**灰色**(被访问过的节点),并将 A 放入队列 Q 中 -- 循环遍历队列中的元素,只要队列 Q 非空,就执行以下操作 - - 先将灰色的 A 从 Q 的首部取出 - - 取出 A 后,将 A 的所有未被访问过(白色)的相邻顶点依次从队列 Q 的尾部加入队列,并变为灰色。以此保证,灰色的相邻顶点不重复加入队列 - - A 的全部相邻节点加入 Q 后,A 变为黑色,在下一次循环中被移除 Q 外 - -#### 代码实现: - -```js -// 5.广度优先遍历 -Graph.prototype.bfs = function (initV, handler) { - var colors = this._initColors(); - var queue = new Queue(); - - // 将定点放入队列 - queue.enqueue(initV); - - while (!queue.isEmpty()) { - var qVal = queue.dequeue(); // 拿到队头的顶点 - var qAdj = this.adList.get(qVal); // 拿到队头对应的边 - // 将队头设置正在探索中 灰色 - colors[qVal] = 'gray'; - - // 将队头顶点相邻的边 全部拿出来遍历一遍,并加入到队列中 - for (var i = 0; i < qAdj.length; i++) { - var vertexValue = qAdj[i]; // 取出相邻顶点 - // 如果这个顶点是白色,说明没有被访问过 - if (colors[vertexValue] === 'white') { - // 正在访问 - colors[vertexValue] = 'gray'; - // 将相邻顶点入队 - queue.enqueue(vertexValue); - } - } - - // 代表该定点已经探索完毕,设置为黑色 - colors[qVal] = 'black'; - - // 输出 - handler && handler(qVal); - } -}; -``` - -##### 测试代码 - -```js -graph.bfs(graph.vertexes[0], function (value) { - console.log(value); // A,B,C,D,E,F,G,H,I, -}); -``` - -#### 过程详解 - -下为指定的第一个顶点为 A 时的遍历过程: - -- 如 a 图所示,将在字典 edges 中取出的与 A 相邻的且未被访问过的白色顶点 B、C、D 放入队列 que 中并变为灰色,随后将 A 变为黑色并移出队列 -- 接着,如图 b 所示,将在字典 edges 中取出的与 B 相邻的且未被访问过的白色顶点 E、F 放入队列 que 中并变为灰色,随后将 B 变为黑色并移出队列 - -
- -
- -- 如 c 图所示,将在字典 edges 中取出的与 C 相邻的且未被访问过的白色顶点 G(A,D 也相邻不过已变为灰色,所以不加入队列)放入队列 que 中并变为灰色,随后将 C 变为黑色并移出队列 -- 接着,如图 d 所示,将在字典 edges 中取出的与 D 相邻的且未被访问过的白色顶点 H 放入队列 que 中并变为灰色,随后将 D 变为黑色并移出队列 - -
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- -如此循环直到队列中元素为 0,即所有顶点都变黑并移出队列后才停止,此时图中顶点已被全部遍历 - -为了更好的理解 BFS,这里提供一份简版 BFS,核心思路都是一样的 - -#### 简版 BFS - -```js -const graph = { - 0: [1, 2], - 1: [2], - 2: [0, 3], - 3: [3], -}; - -const bfs = (root) => { - const visited = new Set(); // 用来存储,节点是否访问过 - visited.add(root); - const q = [root]; //新建队列,根结点入队 - - while (q.length) { - let n = q.shift(); // 队列节点出队,拿到队头 - console.log(n); // 访问节点 - // 访问相邻节点,并入队 - graph[n]?.forEach((item) => { - if (!visited.has(item)) { - // 若没被访问过 - q.push(item); // 入队 - visited.add(item); // 表示已经访问过 - } - }); - } -}; - -bfs(2); // 2 0 3 1 -``` - -### 2.6 深度优先搜索(DFS) - -#### 思路: - -- 深度优先搜索算法将会从指定的第一个顶点开始遍历图,沿着一条路径遍历直到该路径的最后一个顶点都被访问过为止 -- 接着沿原来路径回退并探索下一条路径,即**先深后宽**地遍历图中的各个顶点 - -
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- -#### 实现思路: - -- 可以使用**栈**结构来实现深度优先搜索算法 -- 深度优先搜索算法的遍历顺序与二叉搜索树中的先序遍历较为相似,同样可以使用**递归**来实现(递归的本质就是**函数栈**的调用) - -基于递归实现深度优先搜索算法:定义 dfs 方法用于调用递归方法 dfsVisit,定义 dfsVisit 方法用于递归访问图中的各个顶点。 - -这里实现 dfs 时,实现一个辅助函数 dfsVisit,方便递归实现 DFS。 - -在 dfs 方法中: - -- 首先,调用 initializeColor 方法将所有顶点初始化为白色 -- 然后,调用 dfsVisit 方法遍历图的顶点 - -在 dfsVisit 方法中: - -- 首先,将传入的指定节点 v 标注为**灰色** -- 接着,处理顶点 V -- 然后,访问 V 的相邻顶点 -- 最后,将顶点 v 标注为黑色 - -#### 代码实现: - -```js -// 6.深度优先遍历 -Graph.prototype.dfs = function (initValue, handler) { - var colors = this._initColors(); // 初始化顶点颜色 - this.dfsVisit(initValue, colors, handler); // 遍历 -}; - -Graph.prototype.dfsVisit = function (v, colors, handler) { - colors[v] = 'gray'; // 访问中 - - handler && handler(v); // 访问该顶点 - - var vList = this.adList.get(v); // 获取相邻顶点 - for (var i = 0; i < vList.length; i++) { - if (colors[vList[i]] === 'white') { - this.dfsVisit(vList[i], colors, handler); // 递归访问 - } - } - - colors[v] = 'black'; // 访问结束 -}; -``` - -##### 测试代码 - -```js -graph.dfs(graph.vertexes[0], function (value) { - console.log(value); // A,B,E,I,F,C,D,G,H -}); -``` - -#### 过程详解 - -这里主要解释一下代码中的第 3 步操作:访问指定顶点的相邻顶点。 - -- 以指定顶点 A 为例,先从储存顶点及其对应相邻顶点的字典对象 edges 中取出由顶点 A 的相邻顶点组成的数组 - -
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- -- **第一步**:A 顶点变为灰色,随后进入第一个 for 循环,遍历 A 白色的相邻顶点:B、C、D;在该 for 循环的第 1 次循环中(执行 B),B 顶点满足:colors == "white",触发递归,重新调用该方法 -- **第二步**:B 顶点变为灰色,随后进入第二个 for 循环,遍历 B 白色的相邻顶点:E、F;在该 for 循环的第 1 次循环中(执行 E),E 顶点满足:colors == "white",触发递归,重新调用该方法 -- **第三步**:E 顶点变为灰色,随后进入第三个 for 循环,遍历 E 白色的相邻顶点:I;在该 for 循环的第 1 次循环中(执行 I),I 顶点满足:colors == "white",触发递归,重新调用该方法 -- **第四步**:I 顶点变为灰色,随后进入第四个 for 循环,由于顶点 I 的相邻顶点 E 不满足:colors == "white",停止递归调用。过程如下图所示: - -
- -
- -- **第五步**:递归结束后一路向上返回,首先回到第三个 for 循环中继续执行其中的第 2、3...次循环,每次循环的执行过程与上面的同理,直到递归再次结束后,再返回到第二个 for 循环中继续执行其中的第 2、3...次循环....以此类推直到将图的所有顶点访问完为止。 - -下图为遍历图中各顶点的完整过程: - -- **发现**表示访问了该顶点,状态变为**灰色**; -- **探索**表示既访问了该顶点,也访问了该顶点的全部相邻顶点,状态变为**黑色**; -- 由于在顶点变为灰色后就调用了处理函数 handler,所以 handler 方法的输出顺序为发现顶点的顺序即:A、B、E、I、F、C、D、G、H 。 - -
- -
- -为了更好的理解 DFS,这里也提供一份简版 DFS - -#### 简版 DFS - -```js -const graph = { - 0: [1, 2], - 1: [2], - 2: [0, 3], - 3: [3], -}; - -let set = new Set(); -const dfs = (n) => { - console.log(n); - set.add(n); - graph[n]?.forEach((item) => { - if (!set.has(item)) { - dfs(item); - } - }); -}; - -dfs(2); // 2 0 1 3 -``` - -### 2.7 完整代码 - -```js -const Dictionary = require('./dict'); -const Queue = require('../03-队列结构/01-queue'); - -function Graph() { - this.vertexes = []; // 存放顶点 - this.adList = new Dictionary(); // 使用字典结构存放 边 信息 - - // 1.添加顶点 - Graph.prototype.addVertex = function (val) { - this.vertexes.push(val); // 添加顶点 - this.adList.set(val, []); // 初始化顶点对应的边 - }; - - // 2.添加边 - Graph.prototype.addEdge = function (val1, val2) { - // 因为边是相互存在的,所以需要存储关联两个顶点的信息 - // 这里实现的是无向图,所以不考虑方向的问题 - this.adList.get(val1).push(val2); - this.adList.get(val2).push(val1); - }; - - // 3.toString方法 - Graph.prototype.toString = function () { - var resString = ''; - for (var i = 0; i < this.vertexes.length; i++) { - resString += this.vertexes[i] + '->'; - var adList = this.adList.get(this.vertexes[i]); - for (var j = 0; j < adList.length; j++) { - resString += adList[j] + ' '; - } - resString += '\n'; - } - return resString; - }; - - /** - * 4.初始化顶点颜色 - * 白色表示该顶点还没有被访问. - * 灰色表示该顶点被访问过, 但并未被探索过. - * 黑色表示该顶点被访问过且被完全探索过. - */ - Graph.prototype._initColors = function () { - var colors = []; - for (var i = 0; i < this.vertexes.length; i++) { - colors[this.vertexes[i]] = 'white'; - } - return colors; - }; - - // 5.广度优先遍历 - Graph.prototype.bfs = function (initV, handler) { - var colors = this._initColors(); - var queue = new Queue(); - - // 将定点放入队列 - queue.enqueue(initV); - - while (!queue.isEmpty()) { - var qVal = queue.dequeue(); // 拿到队头的顶点 - var qAdj = this.adList.get(qVal); // 拿到队头对应的边 - // 将队头设置正在探索中 灰色 - colors[qVal] = 'gray'; - - // 将队头顶点相邻的边 全部拿出来遍历一遍,并加入到队列中 - for (var i = 0; i < qAdj.length; i++) { - var vertexeValue = qAdj[i]; // 取出相邻顶点 - // 如果这个顶点是白色,说明没有被访问过 - if (colors[vertexeValue] === 'white') { - // 正在访问 - colors[vertexeValue] = 'gray'; - // 将相邻顶点入队 - queue.enqueue(vertexeValue); - } - } - - // 代表该定点已经探索完毕,设置为黑色 - colors[qVal] = 'black'; - - // 输出 - handler && handler(qVal); - } - }; - - // 6.深度优先遍历 - Graph.prototype.dfs = function (initValue, handler) { - var colors = this._initColors(); // 初始化顶点颜色 - this.dfsVisit(initValue, colors, handler); // 遍历 - }; - - Graph.prototype.dfsVisit = function (v, colors, handler) { - colors[v] = 'gray'; // 访问中 - - handler && handler(v); // 访问该顶点 - - var vList = this.adList.get(v); // 获取相邻顶点 - for (var i = 0; i < vList.length; i++) { - if (colors[vList[i]] === 'white') { - this.dfsVisit(vList[i], colors, handler); // 递归访问 - } - } - - colors[v] = 'black'; // 访问结束 - }; -} - -// 测试代码 -let graph = new Graph(); - -// 添加顶点 -let myVertexes = ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I']; -for (let i = 0; i < myVertexes.length; i++) { - graph.addVertex(myVertexes[i]); -} - -// 添加边 -graph.addEdge('A', 'B'); -graph.addEdge('A', 'C'); -graph.addEdge('A', 'D'); -graph.addEdge('C', 'D'); -graph.addEdge('C', 'G'); -graph.addEdge('D', 'G'); -graph.addEdge('D', 'H'); -graph.addEdge('B', 'E'); -graph.addEdge('B', 'F'); -graph.addEdge('E', 'I'); - -console.log(graph.toString()); -// A->B C D -// B->A E F -// C->A D G -// D->A C G H -// E->B I -// F->B -// G->C D -// H->D -// I->E - -graph.bfs(graph.vertexes[0], function (value) { - console.log(value); // A,B,C,D,E,F,G,H,I, -}); - -graph.dfs(graph.vertexes[0], function (value) { - console.log(value); // A,B,E,I,F,C,D,G,H -}); -``` diff --git a/docs/data-structure/index.md b/docs/data-structure/index.md deleted file mode 100644 index 8fc28b9..0000000 --- a/docs/data-structure/index.md +++ /dev/null @@ -1,77 +0,0 @@ ---- -nav: - title: 数据结构 - order: 1 -group: - title: 介绍 - order: -1 ---- - -# 数据结构 - -本系列文章是作者在 B 站学习完 [《数据结构与算法》](https://www.bilibili.com/video/BV1x7411L7Q7)后,为了进行总结和复习而整理的学习笔记,视频讲解的特别好,给大家安利一波~ - -## 一、什么是数据结构? - -> 数据结构(data structure)是计算机中存储、组织数据的方式。通常情况下,精心选择的数据结构可以带来最优效率的算法。---中文维基百科 - -一句话总结:数据结构就是在计算机中,**存储和组织数据的方式**。 - -例如:图书馆中存放了很多书籍,怎样摆放图书既能放很多书,还方便取? - -其实我们主要思考两个问题 - -- 新书怎么插入? -- 怎么快速对找到指定的书? - -1. 如果新书随便摆放,那么在找指定的书时,图书馆那么大,肯定会累死 -2. 按照书名的拼音字母顺序排放 - 1. 新书的插入, 按照字母顺序找到位置,然后插入。 - 2. 书籍的查找:根据字母顺序进行查找 -3. 现实生活中,图书馆会先划分类别,然后在对应类别中,根据字母顺序插入,这样查找效率会更高 - -### 结论 - -- 解决问题方法的效率,根据数据的组织方式有关 -- 计算机中存储的数据量相对于图书馆的书籍来说数据量更大,更多 -- 以什么样的方式,来存储和组织我们的数据才能在使用数据时更加方便呢? -- 这就是数据结构需要考虑的问题。 - -### 常见的数据结构 - -- [数组(Array)](https://developer.mozilla.org/zh-CN/docs/Web/JavaScript/Reference/Global_Objects/Array) -- [栈(Stack)](/data-structure/01_stack) -- [队列(Queue)](/data-structure/02_queue) -- [链表(Linked List)](/data-structure/03_linked_list) -- [哈希表(Hash)](/data-structure/07_hash_table) -- [树(Tree)](/data-structure/08_tree&binary_tree) -- [图(Graph)](/data-structure/11_graph) -- [堆(Heap)](https://zh.wikipedia.org/wiki/%E5%A0%86%E7%A9%8D) - -> 注意:数据结构与算法与语言无关,常见的编程语言都有**直接或间接**的使用上述常见的数据结构。 - -## 二、什么是算法(Algorithm)? - -### 算法的定义 - -- 一个有限指令集,每条指令的描述不依赖于语言 -- 接收一些输入(有些情况下不需要输入) -- 产生输入 -- 一定在有限步骤之后终止 - -算法通俗理解:解决问题的办法/步骤逻辑。数据结构的实现,离不开算法。 - -## 案例 - -假如杭州和上海之间有一条高架线,高架线长度是 1,000,000 米,有一天高架线中有一米出现了故障,请你想出一种算法,可以快速定位到处问题的地方。 - -- 线性查找 - - 从上海的起点开始一米一米的排查,最终一定能找到出问题的线段。 - - 但是如果线段在另一头,我们需要排查 1,000,000 次,这是最坏的情况,平均需要 500,000 次。 -- 二分查找 - - 从中间位置开始排查,看一下问题出在杭州到中间位置,还是中间到上海的位置。 - - 查找对应的问题后,再从中间位置分开,重新锁定一般的路程。 - - 最坏的情况,需要多少次可以排查完呢? 最坏的情况是 20 次就可以找到出问题的地方。 - - 怎么计算出来的呢? log(1000000, 2),以 2 位底,1000000 的对数 ≈ 20。 - -结论:你会发现,解决问题的办法有很多,但是好的算法对比于差的算法,效率天壤之别。 diff --git a/docs/guide/index.md b/docs/guide/index.md deleted file mode 100644 index 3d3ccda..0000000 --- a/docs/guide/index.md +++ /dev/null @@ -1,49 +0,0 @@ ---- -nav: - title: 指南 - order: 2 ---- - -# 指南 - -```md ---- -nav: JavaScript题解 #所属nav -group: - title: 基础算法 #所属分组 ==>基础算法 - order: 1 #组(基础算法)于其他组的顺序 [...,-1,0,1,...] -order: 0 # group内顺序 ---- -``` - -:::info{title=题目跳转指引} -若要新开窗口跳转题目,可以使用`command+click`(macOS)或`ctrl+click`(Linux / Windows)进行跳转 -::: - -
- -
题目跳转指引
-
- - - - - - diff --git a/docs/index.md b/docs/index.md deleted file mode 100644 index b7673d1..0000000 --- a/docs/index.md +++ /dev/null @@ -1,23 +0,0 @@ ---- -title: 刷题记录 -description: 这是一个leetcode刷题记录📝,目前有300+道题js版本题解,后续会更新其他语言版本,欢迎PR👋 -keywords: [leetcode-js, 前端刷题, leetcode, 刷题记录] -hero: - title: 刷题记录 - description: 这是一个leetcode刷题记录📝,目前有300+道题js版本题解,后续会更新其他语言版本,欢迎PR👋 - actions: - - text: 开始 - link: /js-logs - - text: GitHub - link: https://github.com/gaoxiaoduan/leetcode-js -features: - - title: 分类 - emoji: 🔖 - description: 题解针对刷题类型进行分类 - - title: 注释 - emoji: 🗒 - description: 大部分题都会增加完善的注释,便于理解&回顾 - - title: n版本解法 - emoji: 🪢 - description: 尝试不同方案的解法,便于总结刷题套路 ---- diff --git a/docs/js-logs/BFS.md b/docs/js-logs/BFS.md deleted file mode 100644 index 7437466..0000000 --- a/docs/js-logs/BFS.md +++ /dev/null @@ -1,20 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: 基础算法 - order: 1 -order: 3 -toc: content ---- - -# BFS - -BFS 的核心思想应该不难理解的,就是把一些问题抽象成图,从一个点开始,向四周开始扩散。一般来说,我们写 BFS 算法都是用「队列」这种数据结构,每次将一个节点周围的所有节点加入队列。 - -BFS 相对 DFS 的最主要的区别是:BFS 找到的路径一定是最短的,但代价就是空间复杂度可能比 DFS 大很多 - - - - - - diff --git a/docs/js-logs/array.md b/docs/js-logs/array.md deleted file mode 100644 index 198b164..0000000 --- a/docs/js-logs/array.md +++ /dev/null @@ -1,86 +0,0 @@ ---- -nav: JavaScript题解 -group: 基础数据结构 -order: 0 -toc: content ---- - -# [数组](https://leetcode.cn/tag/array/problemset/) - -数组是在程序设计中,把具有相同类型的若干元素按有序的形式组织起来的一种形式。 - -作为线性表的实现方式之一,数组中的元素在内存中是**连续**存储的,且每个元素占相同大小的内存。 - -## 双指针 - - - - - - - - - - - - - - - - - -## 前缀和 - - - - - - - - - -## 差分数组 - - - - - -## 二位数组的花式遍历技巧 - - - - - - - -## 岛屿问题 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/docs/js-logs/backtracking.md b/docs/js-logs/backtracking.md deleted file mode 100644 index 50a57c6..0000000 --- a/docs/js-logs/backtracking.md +++ /dev/null @@ -1,52 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: 进阶算法 - order: 2 -order: 1 -toc: content ---- - -# 回溯算法 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/docs/js-logs/binary-search.md b/docs/js-logs/binary-search.md deleted file mode 100644 index 3437ec7..0000000 --- a/docs/js-logs/binary-search.md +++ /dev/null @@ -1,204 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: 基础算法 - order: 1 -order: 0 -toc: content ---- - -# 二分搜索 - -## [704.二分查找](https://leetcode.cn/problems/binary-search/) easy - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number} - */ -var search = function (nums, target) { - let left = 0, - right = nums.length - 1; - while (left <= right) { - let mid = Math.floor(left + (right - left) / 2); - if (nums[mid] === target) { - return mid; - } else if (nums[mid] > target) { - right = mid - 1; - } else if (nums[mid] < target) { - left = mid + 1; - } - } - return -1; -}; -``` - -## [35.搜索插入位置](https://leetcode.cn/problems/search-insert-position/) easy - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number} - */ -var searchInsert = function (nums, target) { - let l = 0, - r = nums.length - 1; - while (l <= r) { - const mid = Math.floor(l + (r - l) / 2); - if (nums[mid] === target) { - return mid; - } else if (nums[mid] > target) { - r = mid - 1; - } else if (nums[mid] < target) { - l = mid + 1; - } - } - return l; -}; -``` - -## [34.在排序数组中查找元素的第一个和最后一个位置](https://leetcode.cn/problems/find-first-and-last-position-of-element-in-sorted-array/) medium - -跟[剑指 Offer 53 - I. 在排序数组中查找数字 I](/js-logs/sword-point-offer#剑指-offer-53---i-在排序数组中查找数字-i)相似 - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number[]} - */ -var searchRange = function (nums, target) { - if (nums.length === 0) return [-1, -1]; - return [leftSearch(nums, target), rightSearch(nums, target)]; -}; - -var leftSearch = (nums, target) => { - let left = 0, - right = nums.length - 1; - while (left <= right) { - let mid = left + Math.floor((right - left) / 2); - if (nums[mid] < target) { - left = mid + 1; - } else if (nums[mid] > target) { - // 搜索区间变为 [left, mid-1] - right = mid - 1; - } else if (nums[mid] === target) { - // 搜索区间变为 [left, mid-1] - right = mid - 1; //注意 - } - } - - // left 是的区间是[0,nums.length] - // if (left === nums.length) return -1; // 越界 - return nums[left] === target ? left : -1; -}; - -var rightSearch = (nums, target) => { - let left = 0, - right = nums.length - 1; - - while (left <= right) { - let mid = left + Math.floor((right - left) / 2); - if (nums[mid] < target) { - left = mid + 1; - } else if (nums[mid] > target) { - right = mid - 1; - } else if (nums[mid] === target) { - left = mid + 1; //注意 - } - } - - // if (left - 1 < 0) return -1;// 防止越界 - // return nums[left - 1] === target ? right : -1; - // 当while结束时,left-1=right; - // if (right < 0) return -1;// 防止越界 - return nums[right] === target ? right : -1; -}; -``` - -## [154.寻找旋转排序数组中的最小值-ii](https://leetcode.cn/problems/find-minimum-in-rotated-sorted-array-ii/) hard - -二分法寻找最小值 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -// 二分法寻找最小值 -var findMin = function (nums) { - let n = nums.length; - if (n === 1) return nums[0]; - // 原:[0,1,2,2,2,2,3,4,5,6] - // 后:[2,3,4,5,6,0,1,2,2,2] - // [2,3,4,5,6,0,1,2,2,2] - // l m > r ==> l=m+1; - // [2,3,4,5,6,0,1,2,2,2] - // l m = r ==> r=r-1; - // [2,3,4,5,6,0,1,2,2,2] - // l m < r ==> r=m; - // [2,3,4,5,6,0,1,2,2,2] - // l - // m r = m; - // 最后l=r;停止寻找 - - let left = 0, - right = n - 1; - while (left < right) { - // let mid = Math.floor((left + right) / 2); - let mid = (left + right) >> 1; - console.log(left, mid, right); - if (nums[mid] > nums[right]) { - left = mid + 1; - } else if (nums[mid] < nums[right]) { - right = mid; - } else if (nums[mid] === nums[right]) { - right = right - 1; - } - } - - return nums[right]; -}; -``` - -## [278.第一个错误的版本](https://leetcode.cn/problems/first-bad-version/) easy - -```js -/** - * Definition for isBadVersion() - * - * @param {integer} version number - * @return {boolean} whether the version is bad - * isBadVersion = function(version) { - * ... - * }; - */ - -/** - * @param {function} isBadVersion() - * @return {function} - */ -var solution = function (isBadVersion) { - /** - * @param {integer} n Total versions - * @return {integer} The first bad version - */ - return function (n) { - let l = 1, - r = n; - while (l < r) { - const mid = Math.floor(l + (r - l) / 2); - if (isBadVersion(mid)) { - // 结果在[l,mid] - r = mid; - } else { - l = mid + 1; // 结果在[mid+1,r] - } - } - // 此时l=r,返回其中一个点即可 - return l; - }; -}; -``` diff --git a/docs/js-logs/binary-tree.md b/docs/js-logs/binary-tree.md deleted file mode 100644 index 93f9d8a..0000000 --- a/docs/js-logs/binary-tree.md +++ /dev/null @@ -1,142 +0,0 @@ ---- -nav: JavaScript题解 -group: 基础数据结构 -order: 2 -toc: content ---- - -# 二叉树 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/docs/js-logs/bit-manipulation.md b/docs/js-logs/bit-manipulation.md deleted file mode 100644 index 9d4cf1a..0000000 --- a/docs/js-logs/bit-manipulation.md +++ /dev/null @@ -1,185 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: 基础算法 - order: 1 -order: 2 -toc: content ---- - -# 位运算 - -## [136.只出现一次的数字](https://leetcode.cn/problems/single-number/) easy - -- 思路 -- a^a = 0 -- a^0 = a -- 所以全部异或一遍,剩下的就是那个出现一次的数字 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var singleNumber = function (nums) { - let n = 0; - for (let i = 0; i < nums.length; i++) { - n ^= nums[i]; - } - return n; -}; -``` - -## [190.颠倒二进制位](https://leetcode.cn/problems/reverse-bits/) easy - -```js -/** - * @param {number} n - a positive integer - * @return {number} - a positive integer - */ -var reverseBits = function (n) { - let res = 0; // 0: '0' - // n一共长32,所以需要移动32次 - for (let i = 0; i < 32; i++) { - // res:'00'; - res <<= 1; // 相当于res*2 - // 如果n的右边第一位是1,移入res - // 如果是0不用管,res << 的时候会空出来0 - if (n & 1) { - res += 1; - } - // 4:'100' >> '10' - // 2:'10' >> '1' - n >>= 1; // 相当于 n/2 - } - - return res >>> 0; -}; -``` - -## [191.位-1-的个数](https://leetcode.cn/problems/number-of-1-bits/) easy - -- n & (n-1) 消除数字 n 的二进制表示中的最后一个 1 -- 不断消除数字 n 中的 1,直到 n 变为 0。 - -
- -
图解
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- -```js -/** - * @param {number} n - a positive integer - * @return {number} - */ -var hammingWeight = function (n) { - let res = 0; - while (n !== 0) { - n = n & (n - 1); - res++; - } - return res; -}; -``` - -## [231. 2 的幂](https://leetcode.cn/problems/power-of-two/) easy - -- `n & (n-1)`可以消除二进制最后一个 1,变成 0 - -```js -/** - * @param {number} n - * @return {boolean} - */ -var isPowerOfTwo = function (n) { - if (n <= 0) return false; - return (n & (n - 1)) === 0; -}; -``` - -## [268.丢失的数字](https://leetcode.cn/problems/missing-number/) easy - -- 思路 -- 因为异或满足交换律 -- a ^ b ^ a = b ^ (a ^ a); -- 所以可以将数组内的元素跟[0,n]异或一下 -- 结果就是丢失的数字 -- 跟[剑指 Offer 53 - II. 0 ~ n-1 中缺失的数字](/js-logs/sword-point-offer#剑指-offer-53---ii-0n-1中缺失的数字)相同 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var missingNumber = function (nums) { - const n = nums.length; - let res = 0; - res ^= n; - for (let i = 0; i < n; i++) { - res ^= nums[i] ^ i; - } - - return res; -}; -``` - -- 两个等差数列 -- `sum(nums) - sum([0,n])`就是缺的那个元素 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var missingNumber1 = function (nums) { - let sumNums = 0; - let sum = 0; - for (let i = 0; i < nums.length; i++) { - sumNums += nums[i]; - sum += i + 1; - } - return sum - sumNums; -}; -``` - -## [389.找不同](https://leetcode.cn/problems/find-the-difference/) easy - -- 思路 -- 根据异或的交换律和结合律 -- a ^ b ^ a = b ^ (a ^ a) -- 所以可以将字符做异或操作,最后的结果就是添加的字母 -- 注意:由于 js 字符串不支持直接异或,所以要转成对应的 unicode - -```js -/** - * @param {string} s - * @param {string} t - * @return {character} - */ -var findTheDifference = function (s, t) { - let res = 0; - res ^= t[t.length - 1].charCodeAt(); - for (let i = 0; i < s.length; i++) { - res ^= s[i].charCodeAt() ^ t[i].charCodeAt(); - } - return String.fromCharCode(res); -}; -``` - -## [693.交替位二进制数](https://leetcode.cn/problems/binary-number-with-alternating-bits/) easy - -```js -/** - * @param {number} n - * @return {boolean} - */ -var hasAlternatingBits = function (n) { - // n:000010101 - // m:000001010 n>>1 - // a:000011111 - //a+1:000100000 - // &:000000000 - const a = n ^ (n >> 1); - return (a & (a + 1)) === 0; -}; -``` diff --git a/docs/js-logs/dynamic-programming.md b/docs/js-logs/dynamic-programming.md deleted file mode 100644 index ad2d599..0000000 --- a/docs/js-logs/dynamic-programming.md +++ /dev/null @@ -1,136 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: 进阶算法 - order: 2 -order: 2 -toc: content ---- - -# 动态规划 - -## 股票买卖问题 - - - - - - - - - - - - - -## 子序列类型 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/docs/js-logs/greedy.md b/docs/js-logs/greedy.md deleted file mode 100644 index ccac0f2..0000000 --- a/docs/js-logs/greedy.md +++ /dev/null @@ -1,276 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: 进阶算法 - order: 2 -order: 3 -toc: content ---- - -# 贪心算法 - -## [55.跳跃游戏](https://leetcode.cn/problems/jump-game/) medium - -题目理解: -求最远能跳多远的距离?若最远距离超出数组长度,表示可以到达最后一个下标 -反之不能到达 - -- 这道题表面上不是求最值,但是可以改一改: -- 请问通过题目中的跳跃规则,最多能跳多远?如果能够越过最后一格,返回 true,否则返回 false。 - -```js -/** - * @param {number[]} nums - * @return {boolean} - */ -var canJump = function (nums) { - let len = nums.length; - let farthest = 0; // 最远距离 - for (let i = 0; i < len - 1; i++) { - farthest = Math.max(farthest, i + nums[i]); - if (farthest - i <= 0) { - return false; - } - } - return farthest >= len - 1; -}; -``` - -## [45.跳跃游戏 II](https://leetcode.cn/problems/jump-game-ii/) medium - -贪心算法 -时间复杂度 O(N) -空间复杂度 O(1) - -
- -
图解
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- -```js -/** - * @param {number[]} nums - * @return {number} - */ -var jump = function (nums) { - let len = nums.length; - let farthest = 0; - let end = 0; - let jump = 0; - for (let i = 0; i < len - 1; i++) { - farthest = Math.max(i + nums[i], farthest); - if (end === i) { - jump++; - end = farthest; - } - } - return jump; -}; -``` - -动态规划解法 -时间复杂度 O(N^2) -空间复杂度 O(1) - -```js -// 动态规划 -/** - * @param {number[]} nums - * @return {number} - */ -var jump = function (nums) { - let len = nums.length; - let memo = Array.from({ length: len }).fill(len); - //表示从p处跳到最后位置的最少步数 - const dp = (nums, p) => { - // base case - // 当 p 到达最后的位置,不用跳,返回0 - if (p >= len - 1) return 0; - if (memo[p] !== len) return memo[p]; - let step = nums[p]; - for (let i = 1; i <= step; i++) { - let subProblum = dp(nums, nums[i] + i); - memo[p] = Math.min(memo[p], subProblum + 1); - } - return memo[p]; - }; - - return dp(nums, 0); -}; -``` - -## [376.摆动序列](https://leetcode.cn/problems/wiggle-subsequence/) medium - -贪心算法 -[官方题解](https://leetcode.cn/problems/wiggle-subsequence/solution/bai-dong-xu-lie-by-leetcode-solution-yh2m/) - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var wiggleMaxLength = function (nums) { - const n = nums.length; - if (n < 2) return n; - - let preDiff = nums[1] - nums[0]; - // base case - // 若前两位数差为0,那么最长的摆动子序列就是1,否则就是前两位数字 - let res = preDiff !== 0 ? 2 : 1; - - for (let i = 2; i < n; i++) { - const diff = nums[i] - nums[i - 1]; // 当前i与i-1的差 - //若diff与preDiff是【峰】【谷】的或是【谷】【峰】的,res+1 - if ((diff > 0 && preDiff <= 0) || (diff < 0 && preDiff >= 0)) { - res++; - preDiff = diff; - } - } - - return res; -}; -``` - -动态规划 -定义 up 数组 up[i]表示以前 i 个元素中的某一个为结尾的最长的「上升摆动序列」的长度 -定义 down 数组 down[i]表示以前 i 个元素中的某一个为结尾的最长的「下降摆动序列」的长度 -动态转移方程 -`(nums[i] <= nums[i-1]) up[i] = up[i-1];` -`(nums[i] > nums[i-1]) up[i] = max(up[i-1],down[i-1]+1);` - -`(nums[i] >= nums[i-1]) down[i] = down[i-1];` -`(nums[i] < nums[i-1]) down[i] = max(down[i-1],up[i-1]+1);` - -```js -var wiggleMaxLength = function (nums) { - const n = nums.length; - if (n < 2) return n; - const up = new Array(n).fill(0); - const down = new Array(n).fill(0); - up[0] = down[0] = 1; - - for (let i = 1; i < n; i++) { - if (nums[i] > nums[i - 1]) { - up[i] = Math.max(up[i - 1], down[i - 1] + 1); - down[i] = down[i - 1]; - } else if (nums[i] < nums[i - 1]) { - down[i] = Math.max(down[i - 1], up[i - 1] + 1); - up[i] = up[i - 1]; - } else if (nums[i] === nums[i - 1]) { - up[i] = up[i - 1]; - down[i] = down[i - 1]; - } - } - - return Math.max(up[n - 1], down[n - 1]); -}; -``` - -## [435.无重叠区间](https://leetcode.cn/problems/non-overlapping-intervals/) medium - -时间复杂度 O(N) -空间复杂度 O(1) -思路笔记:-->利用贪心算法 - -- 核心思路 -- 求出有多少不重复的区间,再用总数 - 不重复的区间数 -- 如何求出不重复区间数? - - 跟据 end 进行升序排列 - - 找出跟 end 不重叠的区间,计数器++,改变 end 的值,继续遍历 - -```js -/** - * @param {number[][]} intervals - * @return {number} - */ -var eraseOverlapIntervals = function (intervals) { - // 如果为空,不需要改变 - if (!intervals.length) return 0; - let endSortArr = intervals.sort((a, b) => a[1] - b[1]); - - // 计算有多少不重复的区间,至少为 开头的数量1 - let count = 1; - let end_start = endSortArr[0][1]; - - for (let item of endSortArr) { - if (item[0] >= end_start) { - count++; - end_start = item[1]; - } - } - - return endSortArr.length - count; -}; -``` - -## [452.用最少数量的箭引爆气球](https://leetcode.cn/problems/minimum-number-of-arrows-to-burst-balloons/) medium - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 其实题目最后要找的还是不重叠的区间数 -- 这里要注意的是, xstart ≤ x ≤ xend 就会射爆气球 - -```js -/** - * @param {number[][]} points - * @return {number} - */ -var findMinArrowShots = function (points) { - let endSortArr = points.sort((a, b) => a[1] - b[1]); - - let count = 1; - let end_start = endSortArr[0][1]; - for (let item of endSortArr) { - if (item[0] > end_start) { - count++; - end_start = item[1]; - } - } - - return count; -}; -``` - -## [1024.视频拼接](https://leetcode.cn/problems/video-stitching/) medium - -```js -/** - * @param {number[][]} clips - * @param {number} time - * @return {number} - */ -var videoStitching = function (clips, time) { - if (time === 0) return 0; - let clipsArr = clips.sort((a, b) => { - if (a[0] === b[0]) { - // 如果开头相同,将最长的片段放到最前面 - return b[1] - a[1]; - } - return a[0] - b[0]; - }); - - let res = 0; - let curEnd = 0, - nextEnd = 0; - let i = 0, - len = clipsArr.length; - - while (i < len && clipsArr[i][0] <= curEnd) { - while (i < len && clipsArr[i][0] <= curEnd) { - nextEnd = Math.max(nextEnd, clipsArr[i][1]); - i++; - } - - res++; - curEnd = nextEnd; - if (curEnd >= time) { - return res; - } - } - - // 没找到,返回-1 - return -1; -}; -``` diff --git a/docs/js-logs/heap.md b/docs/js-logs/heap.md deleted file mode 100644 index e3dddcc..0000000 --- a/docs/js-logs/heap.md +++ /dev/null @@ -1,12 +0,0 @@ ---- -nav: JavaScript题解 -group: 基础数据结构 -order: 5 -toc: content ---- - -# 堆 - - - - diff --git a/docs/js-logs/index.md b/docs/js-logs/index.md deleted file mode 100644 index c25b59b..0000000 --- a/docs/js-logs/index.md +++ /dev/null @@ -1,12 +0,0 @@ ---- -nav: - title: JavaScript题解 - order: 0 -group: - title: 介绍 - order: -1 ---- - -# JavaScript 题解 - -> 算法: 一个充实生活、训练思维的东东 diff --git a/docs/js-logs/linked-list.md b/docs/js-logs/linked-list.md deleted file mode 100644 index 87ed298..0000000 --- a/docs/js-logs/linked-list.md +++ /dev/null @@ -1,530 +0,0 @@ ---- -nav: JavaScript题解 -group: 基础数据结构 -order: 1 -toc: content ---- - -# [链表](https://leetcode.cn/tag/linked-list/problemset/) - -链表(Linked List)是最简单的线性的、动态数据结构。理解它是理解树结构、图结构的基础。 - -区别于数组,链表中的元素不是存储在内存中连续的一片区域,链表中的数据存储在每一个称之为「结点」复合区域里,在每一个结点除了存储数据以外,还保存了到下一个节点的指针(Pointer)。 - -
- -
Linked List
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-由于不必按顺序存储,链表在插入数据的时候可以达到 O(1) 的复杂度,但是查找一个节点或者访问特定编号的节点则需要 O(n) 的时间。 - -## 链表双指针 - - - - - -### [21.合并两个有序链表](https://leetcode.cn/problems/merge-two-sorted-lists/) easy - -时间复杂度 O(M+N) -空间复杂度 O(1) - -- 思路(双指针) -- 两个链表值比较,取较小的值加入链表 -- 重复第一步,然后将另一个剩下的链表直接指向要返回的链表即可 - -```js -/** - * @param {ListNode} list1 - * @param {ListNode} list2 - * @return {ListNode} - */ -var mergeTwoLists = function (list1, list2) { - // 虚拟头节点 - let dummy = new ListNode(), - p = dummy; - let p1 = list1, - p2 = list2; - while (p1 && p2) { - if (p1.val > p2.val) { - // 将较小的p2节点,放入dummy中 - p.next = p2; - p2 = p2.next; - } else { - p.next = p1; - p1 = p1.next; - } - // 指针p偏移 - p = p.next; - } - // 将剩下的节点,直接接到新链表到后面 - if (p1 !== null) { - p.next = p1; - } - if (p2 !== null) { - p.next = p2; - } - // 返回真实的节点 - return dummy.next; -}; -``` - -### [23.合并 k 个升序链表](https://leetcode.cn/problems/merge-k-sorted-lists/) hard - -时间复杂度 O(2N + log N) -空间复杂度 O(N) - -- 思路 -- 跟[21 题](#21合并两个有序链表)类似,难点在于如何找出每个链表的最小值 -- 这里可以先取出链表中的所有值,放入数组中,然后对数字进行排序 -- 然后根据排序好的数组组成一个新的链表即可 -- 拓展:也可以使用最小堆找出链表里的最小值 - -```js -/** - * @param {ListNode[]} lists - * @return {ListNode} - */ -var mergeKLists = function (lists) { - let arr = new Array(); - for (let item of lists) { - let p = item; - while (p !== null) { - arr.push(p.val); - p = p.next; - } - } - let res = new ListNode(0); - let p = res; - arr - .sort((a, b) => a - b) - .forEach((val) => { - p.next = new ListNode(val); - p = p.next; - }); - return res.next; -}; -``` - -### [86.分隔链表](https://leetcode.cn/problems/partition-list/) medium - -时间复杂度 O(1) -空间复杂度 O(N) - -- 思路 -- 使用指针 p 遍历链表 -- 使用两个新链表分别保存小于 x 的节点,和大于 x 的节点 -- 最后将两个链表合并返回即可 -- 注意:虚拟头节点的链接使用 - -```js -/** - * @param {ListNode} head - * @param {number} x - * @return {ListNode} - */ -var partition = function (head, x) { - let dummy1 = new ListNode(), - dummy2 = new ListNode(); - let p1 = dummy1, - p2 = dummy2; - let p = head; - while (p !== null) { - if (p.val >= x) { - p2.next = new ListNode(p.val); - p2 = p2.next; - } else { - p1.next = new ListNode(p.val); - p1 = p1.next; - } - p = p.next; - } - p1.next = dummy2.next; - return dummy1.next; -}; -``` - -### [141.环形链表](https://leetcode.cn/problems/linked-list-cycle/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 声明快慢两个指针进行赛跑 -- 如果有环,快慢指针肯定会重逢 -- 如果没有环,则不会重逢 - -```js -/** - * @param {ListNode} head - * @return {boolean} - */ -var hasCycle = function (head) { - let p1 = head, - p2 = head; - while (p1 && p2 && p2.next) { - p1 = p1.next; - p2 = p2.next.next; - if (p1 === p2) return true; - } - return false; -}; -``` - -### [142.环形链表-ii](https://leetcode.cn/problems/linked-list-cycle-ii/) medium - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 使用快慢指针找到相遇点 -- 然后将其中一个指针重置 -- 再将两个指针共同向前走,再次相遇的地方就是这个环的头 - -```js -/** - * @param {ListNode} head - * @return {ListNode} - */ -var detectCycle = function (head) { - let p1 = head, - p2 = head; - while (p2 && p2.next) { - p1 = p1.next; - p2 = p2.next.next; - // 若p1===p2结束循环 - // 此时有两种情况 - // 1.p1,p2是相同节点,说明有环 - // 2.p1,p2都是null,说明没环 - if (p1 === p2) break; - } - if (p2 === null || p2.next === null) return null; - p1 = head; - while (p1 !== p2) { - p1 = p1.next; - p2 = p2.next; - } - return p1; -}; -``` - -### [160.相交链表](https://leetcode.cn/problems/intersection-of-two-linked-lists/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 难点在于,如何让指针【同时】指向相交的点 -- 指针 p1 指向 headA,p2 指向 headB, -- 当 p1 遍历结束,让 p1 去遍历 headB,p2 也如此 -- 这样相当于把 headA 和 headB 拼接起来,当两个指针的值相等,说明找到了相同的起点 - -```js -/** - * @param {ListNode} headA - * @param {ListNode} headB - * @return {ListNode} - */ -var getIntersectionNode = function (headA, headB) { - let p1 = headA, - p2 = headB; - while (p1 !== p2) { - if (p1 === null) p1 = headB; - else p1 = p1.next; - if (p2 === null) p2 = headA; - else p2 = p2.next; - } - return p1; -}; -``` - -### [876.链表的中间结点](https://leetcode.cn/problems/middle-of-the-linked-list/) easy - -时间复杂度 O(N/2) -空间复杂度 O(1) - -- 思路(快慢指针) -- 使用快慢指针 -- 慢指针走一步,快指针走两步 -- 这样当快指针走到头,慢指针刚好走一半 -- 这里让慢指针先走,如果链表长度是偶数,慢指针刚好指向第二个数 - -```js -/** - * @param {ListNode} head - * @return {ListNode} - */ -var middleNode = function (head) { - let fast = head, - slow = head; - while (fast !== null && fast.next !== null) { - slow = slow.next; - fast = fast.next.next; - } - return slow; -}; -``` - -### [977.有序数组的平方](https://leetcode.cn/problems/squares-of-a-sorted-array/) easy - -- 思路 -- 根据负数的平方是一个正数,且负数越小平方约大的特性 -- 若 0 的位置为分界点,那么负数平方后的顺序是 大->小->0 -- 正数的顺序是 0->小->大 -- 所以可以从两端分别设置两个指针,对比大小,将大的结果放到数组,指针移动 -- 相当于合并链表 - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var sortedSquares = function (nums) { - const n = nums.length; - let l = 0, - r = n - 1; - - const res = new Array(n); - let p = n - 1; - while (l <= r) { - if (Math.abs(nums[l]) > Math.abs(nums[r])) { - res[p] = nums[l] * nums[l]; - l++; - } else { - res[p] = nums[r] * nums[r]; - r--; - } - p--; - } - - return res; -}; -``` - -## 反转链表 - -### [25.k-个一组翻转链表](https://leetcode.cn/problems/reverse-nodes-in-k-group/) hard - -时间复杂度 O(N) -空间复杂度 O(logN) - -- 思路 -- 先知道如何反转单个链表,然后在这个函数上拓展出[a,b)区间的反转函数 -- 然后再分段去递归反转这个链表,若 a,b 的范围不足 k,则不需要反转 -- 将反转后的链表链接出来 - -```js -/** - * @param {ListNode} head - * @param {number} k - * @return {ListNode} - */ -var reverseKGroup = function (head, k) { - if (head === null) return null; - let a = head, - b = head; - for (let i = 0; i < k; i++) { - // base case - if (b === null) return head; - b = b.next; - } - let newHead = reverse(a, b); - a.next = reverseKGroup(b, k); - return newHead; -}; - -// 以链表head到b的链表,翻转的是[head,b)区间,返回新的head -var reverse = function (head, b) { - let pre = null, - cur = head, - next = head; - while (cur !== b) { - next = cur.next; - cur.next = pre; - pre = cur; - cur = next; - } - // 返回反转后的头节点 - return pre; -}; -``` - -### [206.反转链表](https://leetcode.cn/problems/reverse-linked-list/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路(迭代解法) -- 链表太长不容易看出如何反转,所以可以看作两个最短链表反转 -- 短链表反转,只需要将 当前节点的 next 指回 给 上一个节点 -- 所以使用 p1 为头节点,p2 为后节点,双指针一直指回,然后让双指针共同前进即可 -- 因为 p1 最后会指向一个 null,p2 会指向 5 -- 所以最后返回 p2 链表 - -```js -/** - * @param {ListNode} head - * @return {ListNode} - */ -var reverseList = function (head) { - let p1 = head; - let p2 = null; - while (p1 !== null) { - let temp = p1.next; - p1.next = p2; // 反转 - p2 = p1; - p1 = temp; - } - return p2; -}; - -/** - * 递归解法 - * @param {*} head - * @returns - */ -// 函数定义:返回链表反转后的头节点 -var reverseList2 = function (head) { - if (head === null || head.next === null) { - return head; - } - let last = reverseList2(head.next); - head.next.next = head; - head.next = null; - return last; -}; -``` - -### [剑指 Offer 24. 反转链表](https://leetcode.cn/problems/fan-zhuan-lian-biao-lcof/) easy - -本题[206 题](#206反转链表) 相同 - -```js -/** - * @param {ListNode} head - * @return {ListNode} - */ -var reverseList = function (head) { - if (head === null || head.next === null) { - return head; - } - let last = reverseList(head.next); - head.next.next = head; - head.next = null; - return last; -}; -``` - -### [92.反转链表-ii](<[http:xx](https://leetcode.cn/problems/reverse-linked-list-ii/)>) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -```js -// 反转以head为起点的n个节点,返回新的头节点 -let successor = null; // 后继 -var reverseN = function (head, n) { - if (n === 1) { - successor = head.next; // 保存后继 - return head; - } - // 以head.next为起点的n-1个节点,返回新的头节点 - let last = reverseN(head.next, n - 1); - head.next.next = head; - head.next = successor; - return last; -}; - -/** - * @param {ListNode} head - * @param {number} left - * @param {number} right - * @return {ListNode} - */ -var reverseBetween = function (head, left, right) { - if (left === 1) { - // 当left为1时,可以看做反转前n个节点 - return reverseN(head, right); - } - // 前进到反转的起点 触发base case - head.next = reverseBetween(head.next, left - 1, right - 1); - return head; -}; -``` - -## 回文链表 - -### [234.回文链表](https://leetcode.cn/problems/palindrome-linked-list/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 反转链表,判断两个链表的值是否完全想等 -- 利用函数递归的调用栈,可以拿到反转链表的值 -- 然后再后续遍历的位置进行判断,然后再将 left 指针向右偏移即可 - -```js -/** - * @param {ListNode} head - * @return {boolean} - */ -var isPalindrome = function (head) { - let left = head; - - var traverse = function (right) { - if (right == null) return true; - // 后序遍历位置,相当于反转了链表,因为上面的递归函数,让函数入栈了,出栈的第一个函数,就是链表最后一位 - // 这里相当于,让链表的首位进行判断 - let res = traverse(right.next); // 右指针左移 - res = res && right.val === left.val; - left = left.next; // 左指针右移 - return res; - }; - - return traverse(head); -}; -``` - -### [剑指 Offer II 027. 回文链表](https://leetcode.cn/problems/aMhZSa/) easy - -与[234 题](#234回文链表)解法一样 - -## [86.分隔链表](https://leetcode.cn/problems/partition-list/) medium - -时间复杂度 O(1) -空间复杂度 O(N) - -- 思路 -- 使用指针 p 遍历链表 -- 使用两个新链表分别保存小于 x 的节点,和大于 x 的节点 -- 最后将两个链表合并返回即可 -- 注意:虚拟头节点的链接使用 - -```js -/** - * @param {ListNode} head - * @param {number} x - * @return {ListNode} - */ -var partition = function (head, x) { - let newList1 = new ListNode(-1), - newList2 = new ListNode(-1); - let p1 = newList1, - p2 = newList2; - let p = head; - while (p) { - if (p.val >= x) { - p2.next = new ListNode(p.val); - p2 = p2.next; - } else { - p1.next = new ListNode(p.val); - p1 = p1.next; - } - p = p.next; - } - - // 将两个分好类的节点相连 - p1.next = newList2.next; - return newList1.next; -}; -``` diff --git a/docs/js-logs/math.md b/docs/js-logs/math.md deleted file mode 100644 index 87a2388..0000000 --- a/docs/js-logs/math.md +++ /dev/null @@ -1,16 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: TODO - order: 3 -order: 2 -toc: content ---- - -# 数学 - - - - - - diff --git a/docs/js-logs/n-sum.md b/docs/js-logs/n-sum.md deleted file mode 100644 index 2a43984..0000000 --- a/docs/js-logs/n-sum.md +++ /dev/null @@ -1,195 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: TODO - order: 3 -order: 3 -toc: content ---- - -# nSum - -## [1.两数之和](https://leetcode.cn/problems/two-sum/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 使用 map 存放当前元素和对应的位置 -- 每次循环先算出与之对应目标数,看看 map 中有没有存放,如果有,就返回 map 中存放的下标喝当前数字的下标 -- 如果 map 中没有找到对应树,就在 map 中保留一份信息,等着别的数来配对 - -哈哈,跟相亲一样 - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number[]} - */ -var twoSum = function (nums, target) { - let map = new Map(); - - for (let i = 0; i < nums.length; i++) { - let item = nums[i]; - let diffNum = target - item; - - if (map.has(diffNum)) { - return [map.get(diffNum), i]; - } else { - map.set(item, i); - } - } -}; -``` - -泛化题: -如果假设输入一个数组 nums 和一个目标和 target,请你返回 nums 中能够凑出 target 的两个元素的值, -比如输入 nums = [5,3,1,6], target = 9,那么算法返回两个元素 [3,6]。 -nums 中可能有多对儿元素之和都等于 target,请你的算法返回`所有`和为 target 的元素对儿,其中`不能出现重复`。 - -```js -/** - * @param {*} nums - * @param {*} target - * @returns - */ -var twoSumTarget = function (nums, target) { - nums.sort((a, b) => a - b); - let lo = 0, - hi = nums.length - 1; - let res = []; - while (lo < hi) { - let left = nums[lo], - right = nums[hi]; - let sum = left + right; - - if (sum === target) { - res.push([left, right]); - // 去除重复答案 - while (lo < hi && nums[lo] === left) lo++; - while (lo < hi && nums[hi] === right) hi--; - } else if (sum < target) { - lo++; - } else if (sum > target) { - hi--; - } - } - - return res; -}; -// test -let res = twoSumTarget([1, 1, 1, 2, 2, 3, 3], 4); -console.log('[ res ] >', res); // [ [ 1, 3 ], [ 2, 2 ] ] -``` - -## [15.三数之和](https://leetcode.cn/problems/3sum/) medium - -- 使用改造 twoSum 的解法 -- 先把根据当前 nums[i]找出 target 为`0-nums[i]`的数组 -- 然后再把 nums[i]加入找到的数组中 -- 注意:如果 nums[i]和 nums[i+1]如果相等,结果会重复,所以需要跳过相邻的 - -```js -// 使用改造twoSum的解法 -var twoSumTarget = function (nums, start, target) { - let lo = start, - hi = nums.length - 1; - let res = []; - while (lo < hi) { - let left = nums[lo], - right = nums[hi]; - let sum = left + right; - - if (sum === target) { - res.push([left, right]); - // 去除重复答案 - while (lo < hi && nums[lo] === left) lo++; - while (lo < hi && nums[hi] === right) hi--; - } else if (sum < target) { - lo++; - } else if (sum > target) { - hi--; - } - } - - return res; -}; - -/** - * @param {number[]} nums - * @return {number[][]} - */ -var threeSum = function (nums) { - nums.sort((a, b) => a - b); - const res = []; - const len = nums.length; - for (let i = 0; i < len; i++) { - let twoSumRes = twoSumTarget(nums, i + 1, 0 - nums[i]); - - for (const item of twoSumRes) { - item.push(nums[i]); - res.push(item); - } - - // 去除重复答案 - while (i < len - 1 && nums[i] === nums[i + 1]) i++; - } - - return res; -}; -``` - -根据`twoSumTarget`构造`threeSumTarget` - -```js -var threeSumTarget = function (nums, target) { - nums.sort((a, b) => a - b); - const res = []; - const len = nums.length; - for (let i = 0; i < len; i++) { - let twoSumRes = twoSumTarget(nums, i + 1, target - nums[i]); - - for (const item of twoSumRes) { - item.push(nums[i]); - res.push(item); - } - - // 去除重复答案 - while (i < len - 1 && nums[i] === nums[i + 1]) i++; - } - - return res; -}; -``` - -## [18.四数之和](https://leetcode.cn/problems/4sum/) medium - -- 根据上面构造的`threeSumTarget`去解 -- 思路跟[15.三数之和](#15三数之和)相同 -- 这里就省略`threeSumTarget`了,可以直接使用上面构造好的 - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number[][]} - */ -var fourSum = function (nums, target) { - nums.sort((a, b) => a - b); - const res = []; - const len = nums.length; - for (let i = 0; i < len; i++) { - // threeSumTarget使用上面构造好的,此处省略 - let threeSumRes = threeSumTarget(nums, i + 1, target - nums[i]); - for (const item of threeSumRes) { - item.push(nums[i]); - res.push(item); - } - // 去除重复答案 - while (i < len - 1 && nums[i] === nums[i + 1]) i++; - } - - return res; -}; -``` diff --git a/docs/js-logs/sliding-window.md b/docs/js-logs/sliding-window.md deleted file mode 100644 index 1feabaf..0000000 --- a/docs/js-logs/sliding-window.md +++ /dev/null @@ -1,342 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: 进阶算法 - order: 2 -order: 0 -toc: content ---- - -# 滑动窗口 - -## 单调队列解决滑动窗口问题 - - - - - - - -## [567.字符串的排列](https://leetcode.cn/problems/permutation-in-string/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 维护一个滑动窗口 -- 先初一个 need 和 window,Map 用于记录 -- 第一步先根据我们需要找的字符串,用 need 记录字符串出现的次数 -- 然后写出滑动窗口的框架 -- 再考虑情况,补充适当位置的代码 - -```js -// 滑动窗口的框架 -function slidingWindow(s, t) { - let need = new Map, window = new Map(); - for (const c of s) { - need.set(c, need.has(c) ? need.get(c) + 1 : 1) - } - - let let = 0, right = 0; - // valid 变量表示窗口中满足 need 条件的字符个数, - // 如果 valid 和 need.size 的大小相同,则说明窗口已满足条件,已经完全覆盖了串 - let valid = 0; - while (right < s.length) { - // 将移入窗口的字符 - let c = s[right]; - // 右移窗口 - right += 1; - - // 进行窗口内数据的一系列更新 - // ... - - /*** debug 输出的位置 ***/ - console.log(left, right) - /********************/ - - // 判断左侧窗口是否要收缩 - while (window needs shrink) { - // c2 是将移出窗口的字符 - let c2 = s[left]; - // 左移窗口 - left++; - // 进行窗口内数据的一系列更新 - // ... - } - } -} -``` - -题解 - -```js -/** - * @param {string} s1 - * @param {string} s2 - * @return {boolean} - */ -var checkInclusion = function (s1, s2) { - let need = new Map(), - window = new Map(); - for (const i of s1) { - need.set(i, need.has(i) ? need.get(i) + 1 : 1); - } - - let left = 0, - right = 0; - let valid = 0; - while (right < s2.length) { - // 将要进入窗口的字符 - let c1 = s2[right]; - right++; // 放大窗口 - // 更新数据 - if (need.has(c1)) { - window.set(c1, window.has(c1) ? window.get(c1) + 1 : 1); - if (window.get(c1) === need.get(c1)) { - valid++; - } - } - - while (right - left >= s1.length) { - // 符合要求,更新结果 - if (valid === need.size) { - return true; - } - // 将要移出窗口等字符 - let c2 = s2[left]; - left++; // 缩小窗口 - // 更新数据 - if (need.has(c2)) { - if (window.get(c2) === need.get(c2)) { - valid--; - } - window.set(c2, window.get(c2) - 1); - } - } - } - - return false; -}; -``` - -## [3.无重复字符的最长子串](https://leetcode.cn/problems/longest-substring-without-repeating-characters/) medium - -时间复杂度 O(N) N 是 s 的个数 -空间复杂度 O(M) M 是 s 的不同元素的个数 - -- 思路: -- 维护一个滑动窗口 -- 1.在右指针滑动的过程中记录当前元素对应的位置 -- 2.若在右指针滑动过程中发现 map 中已经有当前元素,并且这个位置没有在左指针之后 -- 3.将左指针定位到当前元素位置的下一位 -- 4.然后右指针每次滑动,都求左右指针的最大长度 -- 这个长度就是最长的无重复子串 - -```js -var lengthOfLongestSubstring = function (s) { - let map = new Map(); - let l = 0, // 左指针 - res = 0; // 最长的无重复子串的数量 - - // r为右指针 - for (let r = 0; r < s.length; r++) { - let c = s[r]; // 每个字符串 - // 2. - if (map.has(c) && map.get(c) >= l) { - // 3. - l = map.get(c) + 1; - } - // 4. - res = Math.max(res, r - l + 1); - - // 1. - map.set(c, r); // 记录下每个字符串的位置 - } - - return res; -}; -``` - -滑动窗口框架解法 - -```js -var lengthOfLongestSubstring = function (s) { - let window = new Map(); - - let right = 0, - left = 0; - let res = 0; - while (right < s.length) { - let c1 = s[right]; - right++; - // 更新数据 - window.set(c1, window.has(c1) ? window.get(c1) + 1 : 1); - // 缩小窗口的条件 - while (window.get(c1) > 1) { - let c2 = s[left]; - left++; - // 更新数据 - window.set(c2, window.get(c2) - 1); - } - res = Math.max(res, right - left); - } - return res; -}; -``` - -## [9.回文数](https://leetcode.cn/problems/palindrome-number/) easy - -时间复杂度:O(N) -空间复杂度:O(1) - -- 思路(双指针法) -- 左右指针,向内滑动 -- 发现两个指针的值相等时,左指针++,右指针--,向内靠拢 -- 边界值情况: -- 当输入 1 位,的时候,肯定是回文数,true -- 判断相等时,注意值不能取空,否则会与 undefined 比较 -- 最后结束时,当头指针没有超过中位,说明不是回文数 - -```js -/** - * @param {number} x - * @return {boolean} - */ -var isPalindrome = function (x) { - const str = String(x); - const len = str.length; - if (len === 1) return true; - let p1 = 0, - p2 = len - 1; - - while (p1 < p2) { - if (str[p1] !== str[p2]) return false; - p1++; - p2--; - } - return true; -}; -``` - -## [76.最小覆盖子串](https://leetcode.cn/problems/minimum-window-substring/) hard - -时间复杂度 O(N) N 代表 s 的长度 -空间复杂度 O(M) - -- 思路 -- 双指针维护一个滑动窗口 -- 先找出一个子串,然后将左指针向后移动一位,继续找子串 -- 移动过程中,记录 找到子串的长度,返回最小子串 - -```js -/** - * @param {string} s - * @param {string} t - * @return {string} - */ -var minWindow = function (s, t) { - // need为统计t出现的次数 - let need = new Map(), - window = new Map(); - for (let i of t) { - need.set(i, need.has(i) ? need.get(i) + 1 : 1); - } - // valid为字符串满足的数量 - let valid = 0; - let left = 0, - right = 0; - let res = ''; - while (right < s.length) { - // c是将移入窗口的数据 - let c1 = s[right]; - // 放大窗口 - right += 1; - // 数据更新操作 - if (need.has(c1)) { - window.set(c1, window.has(c1) ? window.get(c1) + 1 : 1); - if (window.get(c1) === need.get(c1)) { - // 当window中的字符,已经满足need,valid++ - valid += 1; - } - } - - // 当valid满足need的size,说明已经找到符合条件的子串了,需要缩小窗口继续找最小 - while (valid === need.size) { - // 更新结果 - let newStr = s.substring(left, right); - if (!res || newStr.length < res.length) res = newStr; - - // c2是将移除窗口的数据 - let c2 = s[left]; - // 缩小窗口 - left += 1; - // 更新数据 - if (need.has(c2)) { - if (window.get(c2) === need.get(c2)) { - valid -= 1; - } - window.set(c2, window.get(c2) - 1); - } - } - } - return res; -}; -``` - -## [438.找到字符串中所有字母异位词](https://leetcode.cn/problems/find-all-anagrams-in-a-string/) medium - -时间复杂度 O(M+N) -空间复杂度 O(M) - -- 思路 -- 其实找异位词就是找覆盖子串 -- 可以参考[76.最小覆盖子串的解法](#76最小覆盖子串) - -```js -/** - * @param {string} s - * @param {string} p - * @return {number[]} - */ -var findAnagrams = function (s, p) { - let need = new Map(), - window = new Map(); - for (let i of p) { - need.set(i, need.has(i) ? need.get(i) + 1 : 1); - } - - let left = 0, - right = 0; - let valid = 0; - let res = []; - while (right < s.length) { - let c1 = s[right]; // 将要进入window的字符 - right++; // 放大窗口 - // 更新数据 - if (need.has(c1)) { - window.set(c1, window.has(c1) ? window.get(c1) + 1 : 1); - if (window.get(c1) === need.get(c1)) { - valid++; - } - } - - while (right - left >= p.length) { - if (valid === need.size) { - res.push(left); - } - - let c2 = s[left]; - left++; - // 更新数据 - if (need.has(c2)) { - if (window.get(c2) === need.get(c2)) { - valid--; - } - window.set(c2, window.get(c2) - 1); - } - } - } - - return res; -}; -``` diff --git a/docs/js-logs/sort.md b/docs/js-logs/sort.md deleted file mode 100644 index 6e38886..0000000 --- a/docs/js-logs/sort.md +++ /dev/null @@ -1,479 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: 基础算法 - order: 1 -order: 1 -toc: content ---- - -# 排序 - -## [215.数组中的第 K 个最大元素](https://leetcode.cn/problems/kth-largest-element-in-an-array/) medium - -快速搜索 - -- 首先,针对已经排好序的数组,第 k 大,就是 nums\[len-k\]位置上的元素,后序称为 k' -- 在快排分区时,其实已经为 p 找到自己在数组中正确对应的位置 -- 若 k' > p,说明要找的元素在 p 的右半部分,也就是 lo=p+1 -- 若 k' < p,说明要找的元素在 p 的左半部分,也就是 hi=p-1 -- 然后递归,直到 p 的位置刚好是 k',直接返回这个位置上的元素即可 - -```js -/** - * @param {number[]} nums - * @param {number} k - * @return {number} - */ -var findKthLargest = function (nums, k) { - let lo = 0, - hi = nums.length - 1, - targetIndex = nums.length - k; - - while (lo <= hi) { - const p = partition(nums, lo, hi); - if (targetIndex > p) { - lo = p + 1; - } else if (targetIndex < p) { - hi = p - 1; - } else { - return nums[p]; - } - } - - return -1; -}; - -const partition = (nums, lo, hi) => { - let p = nums[lo]; - let i = lo + 1, - j = hi; - while (i <= j) { - while (i < hi && nums[i] <= p) { - i++; - } - while (j > lo && nums[j] > p) { - j--; - } - if (i >= j) { - break; - } - swap(nums, i, j); - } - swap(nums, lo, j); - return j; -}; - -const swap = (nums, i, j) => { - const temp = nums[i]; - nums[i] = nums[j]; - nums[j] = temp; -}; -``` - -时间复杂度 O(N \* log K) N 是 nums 的次数 ,logK 是循环中使用 insert 和 pop 的复杂度 -空间复杂度 O(K) k 是 最小堆的长度 - -- 思路 -- 使用最小堆结构的特性解决 -- 最小堆的跟是最小的元素 -- 在遍历过程中进行插入,此时根元素是最小值,且,其他节点都是比根大的值 -- 如果堆中元素个数超过 k,将最小元素踢出堆,即删除根,然后继续插入 -- 以上面步骤全部插入堆中后,根元素即第 K 大的元素 - -```js -// -----------------最小堆解法---------------------- -var findKthLargest = function (nums, k) { - const heap = new MinHeap(); - nums.forEach((item) => { - heap.insert(item); - if (heap.size() > k) { - heap.pop(); - } - }); - return heap.peek(); -}; - -class MinHeap { - constructor() { - this.heap = []; - } - - getParentIndex(i) { - return (i - 1) >> 1; - } - - getLeftIndex(i) { - return i * 2 + 1; - } - - getRightIndex(i) { - return i * 2 + 2; - } - - swap(i, j) { - let temp = this.heap[j]; - this.heap[j] = this.heap[i]; - this.heap[i] = temp; - } - - shiftUp(index) { - if (index === 0) return; - let parentIndex = this.getParentIndex(index); - if (this.heap[parentIndex] > this.heap[index]) { - this.swap(parentIndex, index); - this.shiftUp(parentIndex); - } - } - - shiftDown(index) { - let leftIndex = this.getLeftIndex(index); - let rightIndex = this.getRightIndex(index); - if (this.heap[leftIndex] < this.heap[index]) { - this.swap(leftIndex, index); - this.shiftDown(leftIndex); - } - if (this.heap[rightIndex] < this.heap[index]) { - this.swap(rightIndex, index); - this.shiftDown(rightIndex); - } - } - - insert(val) { - this.heap.push(val); - this.shiftUp(this.heap.length - 1); - } - - pop() { - this.heap[0] = this.heap.pop(); - this.shiftDown(0); - } - - size() { - return this.heap.length; - } - - peek() { - return this.heap[0]; - } -} -``` - -## [315.计算右侧小于当前元素的个数](https://leetcode.cn/problems/count-of-smaller-numbers-after-self/) hard - -- 技术点 -- 运用到快排局部有序的特征 -- 在合并数组最后 有序的时候,可以通过两个数组指针的位置,计算出 中间 小于插入元素的数量 - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var countSmaller = function (nums) { - const len = nums.length; - const counts = new Array(len).fill(0); - const temp = new Array(len); - const arr = new Array(len); - for (let i = 0; i < len; i++) { - arr[i] = { - index: i, - val: nums[i], - }; - } - const merge = (lo, mid, hi) => { - for (let i = lo; i <= hi; i++) { - temp[i] = arr[i]; - } - - let i = lo, - j = mid + 1; - for (let p = lo; p <= hi; p++) { - if (i === mid + 1) { - arr[p] = temp[j++]; - } else if (j === hi + 1) { - arr[p] = temp[i++]; - counts[arr[p].index] += j - (mid + 1); - } else if (temp[i].val > temp[j].val) { - arr[p] = temp[j++]; - } else { - arr[p] = temp[i++]; - counts[arr[p].index] += j - (mid + 1); - } - } - }; - - const sort = (lo, hi) => { - if (lo === hi) return; - let mid = Math.floor(lo + (hi - lo) / 2); - - sort(lo, mid); - sort(mid + 1, hi); - merge(lo, mid, hi); - }; - - sort(0, len - 1); - - return counts; -}; -``` - -## [327.区间和的个数](https://leetcode.cn/problems/count-of-range-sum/) hard - -- 使用数组的前缀和,然后对前缀和进行归并排序 -- 归并排序中,寻找符合条件的区间 - -```js -/** - * @param {number[]} nums - * @param {number} lower - * @param {number} upper - * @return {number} - */ -var countRangeSum = function (nums, lower, upper) { - const len = nums.length; - let preSum = new Array(len + 1).fill(0); - const temp = new Array(preSum.length); - for (let i = 0; i < len; i++) { - preSum[i + 1] = nums[i] + preSum[i]; - } - - let count = 0; - - const merge = (nums, lo, mid, hi) => { - for (let i = lo; i <= hi; i++) { - temp[i] = nums[i]; - } - - // // 这段代码会超时 - // for (let i = lo; i <= mid; i++) { - // for (let j = mid + 1; j <= hi; j++) { - // const diff = nums[j] - nums[i]; - // if (diff >= lower && diff <= upper) { - // count++; - // } - // } - // } - - let start = mid + 1; - let end = mid + 1; - for (let i = lo; i <= mid; i++) { - while (start <= hi && nums[start] - nums[i] < lower) { - start++; - } - while (end <= hi && nums[end] - nums[i] <= upper) { - end++; - } - count += end - start; - } - - let i = lo, - j = mid + 1; - for (let p = lo; p <= hi; p++) { - if (i === mid + 1) { - nums[p] = temp[j++]; - } else if (j === hi + 1) { - nums[p] = temp[i++]; - } else if (temp[i] > temp[j]) { - nums[p] = temp[j++]; - } else { - nums[p] = temp[i++]; - } - } - }; - - const sort = (nums, lo, hi) => { - if (lo === hi) return; - const mid = Math.floor(lo + (hi - lo) / 2); - sort(nums, lo, mid); - sort(nums, mid + 1, hi); - merge(nums, lo, mid, hi); - }; - - sort(preSum, 0, preSum.length - 1); - - return count; -}; -``` - -## [493.翻转对](https://leetcode.cn/problems/reverse-pairs/) hard - -[leetcode 题解](https://leetcode.cn/problems/reverse-pairs/solution/shou-hua-tu-jie-yi-bu-yi-bu-jie-xi-gui-bing-pai-xu/) - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var reversePairs = function (nums) { - const len = nums.length; - const temp = new Array(len); - let count = 0; - - const merge = (lo, mid, hi) => { - for (let i = lo; i <= hi; i++) { - temp[i] = nums[i]; - } - - // ----左右数组有序之后---- - let start = lo, - end = mid + 1; - - while (start <= mid && end <= hi) { - if (nums[start] > 2 * nums[end]) { - count += mid + 1 - start; - end++; - } else { - start++; - } - } - - // ----合并之前---- - let i = lo, - j = mid + 1; - for (let p = lo; p <= hi; p++) { - if (i === mid + 1) { - nums[p] = temp[j++]; - } else if (j === hi + 1) { - nums[p] = temp[i++]; - } else if (temp[i] > temp[j]) { - nums[p] = temp[j++]; - } else { - nums[p] = temp[i++]; - } - } - }; - - const sort = (lo, hi) => { - if (lo === hi) return; - const mid = Math.floor(lo + (hi - lo) / 2); - sort(lo, mid); - sort(mid + 1, hi); - merge(lo, mid, hi); - }; - sort(0, len - 1); - return count; -}; -``` - -## [912.排序数组](https://leetcode.cn/problems/sort-an-array/) medium - -[题解](https://mp.weixin.qq.com/s/8ZTMhvHJK_He48PpSt_AmQ) - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var sortArray = function (nums) { - const temp = new Array(nums.length); - - const merge = function (lo, mid, hi) { - for (let i = lo; i <= hi; i++) { - temp[i] = nums[i]; - } - - let i = lo, - j = mid + 1; - - for (let p = lo; p <= hi; p++) { - if (i === mid + 1) { - nums[p] = temp[j++]; - } else if (j === hi + 1) { - nums[p] = temp[i++]; - } else if (temp[j] < temp[i]) { - nums[p] = temp[j++]; - } else { - nums[p] = temp[i++]; - } - } - }; - - const sort = (lo, hi) => { - if (lo === hi) return; - const mid = Math.floor(lo + (hi - lo) / 2); - - // [lo,mid]有序 - sort(lo, mid); - // [mid+1,hi]有序 - sort(mid + 1, hi); - // 合并两个有序数组 - merge(lo, mid, hi); - }; - - sort(0, nums.length - 1); - - return nums; -}; -``` - -归并排序--使用了 shift 方法,比较慢 - -```js -// 归并排序 -var sortArray = function (nums) { - if (nums.length <= 1) return nums; - let mid = Math.floor(nums.length / 2); - let left = sortArray(nums.slice(0, mid)); - let right = sortArray(nums.slice(mid)); - return merge(left, right); -}; -const merge = (left, right) => { - let res = []; - while (left.length && right.length) { - res.push(left[0] < right[0] ? left.shift() : right.shift()); - } - return res.concat(left, right); -}; -``` - -快速排序 - -```js -var sortArray = function (nums) { - quickSort(nums, 0, nums.length - 1); - return nums; -}; - -// 快速排序 -const quickSort = (nums, lo, hi) => { - if (lo >= hi) return; - - // 对[lo,hi]根据p进行划分 - // nums[lo,p-1] <= nums[p] < nums[p,hi]; - const p = partition(nums, lo, hi); - - quickSort(nums, lo, p - 1); - quickSort(nums, p + 1, hi); -}; - -// 对[lo,hi]进行区分 -const partition = (nums, lo, hi) => { - let p = nums[lo]; - let i = lo + 1, - j = hi; - while (i <= j) { - while (i < hi && nums[i] <= p) { - i++; - // 结束时,nums[i] > p - } - while (j > lo && nums[j] > p) { - j--; - // 结束时,nums[j] <= p; - } - // 此时 nums[i] <= p < nums[j] - if (i >= j) { - break; - } - swap(nums, i, j); - } - swap(nums, lo, j); - return j; -}; - -const swap = (nums, i, j) => { - const temp = nums[i]; - nums[i] = nums[j]; - nums[j] = temp; -}; -``` diff --git a/docs/js-logs/stack.md b/docs/js-logs/stack.md deleted file mode 100644 index 050e868..0000000 --- a/docs/js-logs/stack.md +++ /dev/null @@ -1,238 +0,0 @@ ---- -nav: JavaScript题解 -group: 基础数据结构 -order: 4 -toc: content ---- - -# [栈](https://leetcode.cn/tag/stack/problemset/) - -栈(Stack)又名堆栈,它是一种重要的数据结构。 - -从数据结构角度看,栈也是线性表,其特殊性在于栈的基本操作是线性表操作的子集,它是操作受限的线性表,因此,可称为限定性的数据结构。限定它仅在表尾进行插入或删除操作。表尾称为栈顶,相应地,表头称为栈底。 - -## [20.有效的括号](https://leetcode.cn/problems/valid-parentheses/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路: -- 使用栈结构先进后出的特性 -- 先声明一个栈 stack 变量 -- 遍历整个字符串 -- 发现 ( 、 {、 \[ 就入栈 -- 发现 )、}、] 就和栈顶做比较,若栈顶存在对应的括号,将与之对应的括号出栈 -- 遍历结束后,若栈空,则说明所有括号都能找到相匹配的 - -优化空间 - -- 若字符串的长度为奇数、则括号不可能完全出栈、直接 return 即可 - -```js -/** - * @param {string} s - * @return {boolean} - */ -var isValid = function (s) { - if (s === 0) return false; - if (s.length % 2 === 1) return false; - - let stack = []; - let leftStr = '{[('; - - for (let i = 0; i < s.length; i++) { - let c = s[i]; - // if (leftStr.indexOf(c) !== -1) { - if (leftStr.includes(c)) { - stack.push(c); - } else { - const top = stack[stack.length - 1]; - if (isMath(top, c)) { - stack.pop(); - } else { - return false; - } - } - } - return stack.length === 0; -}; - -const isMath = (left, right) => { - if (left === '{' && right === '}') return true; - if (left === '[' && right === ']') return true; - if (left === '(' && right === ')') return true; - return false; -}; -``` - -## [232.用栈实现队列](https://leetcode.cn/problems/implement-queue-using-stacks/) easy - -
- -
图解
-
- -```js -var MyQueue = function () { - this.stack1 = []; - this.stack2 = []; -}; - -/** - * @param {number} x - * @return {void} - */ -MyQueue.prototype.push = function (x) { - this.stack1.push(x); -}; - -/** - * @return {number} - */ -MyQueue.prototype.pop = function () { - this.peek(); // 先peek,保证stack2不为空 - return this.stack2.pop(); -}; - -/** - * @return {number} - */ -MyQueue.prototype.peek = function () { - // 当stack2为空时 - if (this.stack2.length === 0) { - // 将stack1清空 - while (this.stack1.length) { - const item = this.stack1.pop(); // stack1栈顶 - this.stack2.push(item); // 将stack1栈顶 入栈 - } - } - // 返回stack2的栈顶元素 - return this.stack2[this.stack2.length - 1]; -}; - -/** - * @return {boolean} - */ -MyQueue.prototype.empty = function () { - return this.stack1.length === 0 && this.stack2.length === 0; -}; - -/** - * Your MyQueue object will be instantiated and called as such: - * var obj = new MyQueue() - * obj.push(x) - * var param_2 = obj.pop() - * var param_3 = obj.peek() - * var param_4 = obj.empty() - */ -``` - -## [678.有效的括号字符串](https://leetcode.cn/problems/valid-parenthesis-string/) medium - -思路: - -- 使用两个栈,left 存放"(" 的位置,start 存放"\*"的位置 -- 遍历字符串,遇到(、\*时,记录位置 -- 遍历过程中遇到 )时,优先删除 left 中的(,当 left 为空时,删除 start 中的\*,若 start 也为空,说明不匹配,直接返回 false -- 当 ")" 遍历结束,会出现两种情况 -- 1. left 中的数量比 start 多,说明不平衡,无法正确匹配,返回 false -- 2. left 中 "(" 的位置,在 start 的右边,即 "\*("这种情况,也无法正确匹配,返回 false -- 3. 判断完上面两种情况,剩下的情况也就是可以正确匹配的,即 start 中的数量比 left 多,start 中的\*都在 left 的右边,\*就可以匹配完所有的(,也就是有效的 - -```js -/** - * @param {string} s - * @return {boolean} - */ -var checkValidString = function (s) { - let left = [], - start = []; - - for (let i = 0; i < s.length; i++) { - const n = s[i]; - if (n === '(') { - left.push(i); - } else if (n === '*') { - start.push(i); - } else { - if (left.length === 0) { - if (start.length === 0) return false; - start.pop(); - } else { - left.pop(); - } - } - } - - if (left.length > start.length) return false; - while (left.length && start.length) { - if (left.pop() > start.pop()) return false; - } - return true; -}; -``` - -## [115.最小栈](https://leetcode.cn/problems/min-stack/) medium - -
- -
图解115.最小栈
-
- -```js -var MinStack = function () { - this.stack = []; - this.minStack = []; // 保存入栈元素的对应的最小值 -}; - -/** - * @param {number} val - * @return {void} - */ -MinStack.prototype.push = function (val) { - this.stack.push(val); - // 维护minStack的栈顶元素最小 - if ( - this.minStack.length === 0 || - val <= this.minStack[this.minStack.length - 1] - ) { - this.minStack.push(val); - } else { - const minStackPeek = this.minStack[this.minStack.length - 1]; - this.minStack.push(minStackPeek); - } -}; - -/** - * @return {void} - */ -MinStack.prototype.pop = function () { - this.stack.pop(); - this.minStack.pop(); -}; - -/** - * @return {number} - */ -MinStack.prototype.top = function () { - return this.stack[this.stack.length - 1]; -}; - -/** - * @return {number} - */ -MinStack.prototype.getMin = function () { - return this.minStack[this.minStack.length - 1]; -}; - -/** - * Your MinStack object will be instantiated and called as such: - * var obj = new MinStack() - * obj.push(val) - * obj.pop() - * var param_3 = obj.top() - * var param_4 = obj.getMin() - */ -``` - - diff --git a/docs/js-logs/string.md b/docs/js-logs/string.md deleted file mode 100644 index 6e8503a..0000000 --- a/docs/js-logs/string.md +++ /dev/null @@ -1,18 +0,0 @@ ---- -nav: JavaScript题解 -group: 基础数据结构 -order: 3 -toc: content ---- - -# 字符串 - - - - - - - - - - diff --git a/docs/js-logs/sword-point-offer-II.md b/docs/js-logs/sword-point-offer-II.md deleted file mode 100644 index 2e070b5..0000000 --- a/docs/js-logs/sword-point-offer-II.md +++ /dev/null @@ -1,16 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: TODO - order: 3 -order: 1 -toc: content ---- - -# 剑指 Offer II - - - - - - diff --git a/docs/js-logs/sword-point-offer.md b/docs/js-logs/sword-point-offer.md deleted file mode 100644 index 853850b..0000000 --- a/docs/js-logs/sword-point-offer.md +++ /dev/null @@ -1,154 +0,0 @@ ---- -nav: JavaScript题解 -group: - title: TODO - order: 3 -order: 0 -toc: content ---- - -# 剑指 Offer - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/docs__blogs__browser.md.07a441c4.chunk.css b/docs__blogs__browser.md.07a441c4.chunk.css new file mode 100644 index 0000000..db0d643 --- /dev/null +++ b/docs__blogs__browser.md.07a441c4.chunk.css @@ -0,0 +1 @@ +.dumi-default-table{margin:24px 0 32px;transform:translate(0)}.dumi-default-table-content{overflow:auto}.dumi-default-table-content:before,.dumi-default-table-content:after{content:"";display:block;position:fixed;z-index:1;top:0;bottom:0;width:6px;pointer-events:none}.dumi-default-table-content[data-left-folded]:before{left:0;background-image:linear-gradient(to right,rgba(0,0,0,.1),rgba(0,0,0,0))}[data-prefers-color=dark] .dumi-default-table-content[data-left-folded]:before{background-image:linear-gradient(to 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先想出应该如何找到结果,不考虑 target 和 deadends,如何穷举所有密码组合? -- 从'0000'开始每次转一次锁,四个位置分别可以前后转动,共有 8 种结果,'1000','9000', '0100','0900'....,然后再次转动,每个结果又有 8 种结果,这样下去就形成了二叉树 -- 我们要求解的是`最少的次数`,所以可以看作是`求二叉树到某个节点的深度`,使用 BFS 求解 -- 先分别封装,向上拨动一次的函数`addOne`,向下拨动一次的函数`minusOne` -- 再使用 BFS 进行求解 -- 为了防止求解过程中 路径重复,使用`visited`进行去重,而在 BFS 过程中遇到`deadends`跳过即可 - -```js -// 将字符串s[j]向上拨动一次 -var addOne = function (s, j) { - const charts = s.split(''); - if (charts[j] === '9') { - charts[j] = '0'; - } else { - charts[j] = Number(charts[j]) + 1; - } - return charts.join(''); -}; - -// 将字符串s[j]向下拨动一次 -var minusOne = function (s, j) { - const charts = s.split(''); - if (charts[j] === '0') { - charts[j] = '9'; - } else { - charts[j] = Number(charts[j]) - 1; - } - return charts.join(''); -}; - -/** - * @param {string[]} deadends - * @param {string} target - * @return {number} - */ -var openLock = function (deadends, target) { - const q = ['0000']; - const visited = new Set(); - visited.add('0000'); - - let deep = 0; - - while (q.length !== 0) { - const len = q.length; - for (let i = 0; i < len; i++) { - const current = q.shift(); - - // 终止条件 - if (deadends.indexOf(current) !== -1) continue; - if (current === target) return deep; - - for (let j = 0; j < 4; j++) { - const upStr = addOne(current, j); - if (!visited.has(upStr)) { - q.push(upStr); - visited.add(upStr); - } - - const downStr = minusOne(current, j); - if (!visited.has(downStr)) { - q.push(downStr); - visited.add(downStr); - } - } - } - - deep++; - } - // 若循环结束还没有找到密码,返回-1; - return -1; -}; -``` diff --git "a/example/BFS/773.\346\273\221\345\212\250\350\260\234\351\242\230.md" "b/example/BFS/773.\346\273\221\345\212\250\350\260\234\351\242\230.md" deleted file mode 100644 index 4a5ce93..0000000 --- "a/example/BFS/773.\346\273\221\345\212\250\350\260\234\351\242\230.md" +++ /dev/null @@ -1,72 +0,0 @@ -## [773.滑动谜题](https://leetcode.cn/problems/sliding-puzzle/) hard - -时间复杂度 O((mn)!⋅mn) -空间复杂度 O((mn)!⋅mn) - -- 思路 -- 求最少,可以用 BFS 穷举 -- 先抽象成一颗树,每次可以将 0 与相邻交换,然后下次再进行相邻交换,直到遇到`target` -- 题目给的是一个 2x3 的数组,需要压缩成一个字符串,对应寻找的`target`就是`'123450'` -- 如何压缩数组成字符串呢? -- 需要先找出数组中每个位置对应的相邻位置,因为这里是 2x3 所以可以直接穷举出来`neighbor` -- 然后就转换成了 BFS 解法,与[752.打开转盘锁](https://leetcode.cn/problems/open-the-lock/)相似 - -```js -/** - * @param {number[][]} board - * @return {number} - */ -var slidingPuzzle = function (board) { - // 把board压缩成字符串,对应的相邻位置 - const neighbor = [ - [1, 3], - [0, 4, 2], - [1, 5], - [0, 4], - [3, 1, 5], - [4, 2], - ]; - let target = '123450'; // 要找到的结果 - let str = ''; // 压缩成字符串 - for (let i = 0; i < 2; i++) { - for (let j = 0; j < 3; j++) { - str += board[i][j]; - } - } - - const q = [str]; - const visited = new Set(); - visited.add(str); - - let step = 0; - while (q.length !== 0) { - const len = q.length; - for (let i = 0; i < len; i++) { - const current = q.shift(); - - if (current === target) return step; - - // 先找到'0'所在的位置 - let idx = current.slice('').indexOf('0'); - // '0' 与相邻位置分别交换 - for (let move of neighbor[idx]) { - const new_board_str = swap(current, idx, move); - if (!visited.has(new_board_str)) { - q.push(new_board_str); - visited.add(new_board_str); - } - } - } - step++; - } - return -1; -}; - -function swap(str, i, j) { - const charts = str.split(''); - let temp = charts[i]; - charts[i] = charts[j]; - charts[j] = temp; - return charts.join(''); -} -``` diff --git "a/example/nSum/1.\344\270\244\346\225\260\344\271\213\345\222\214.js" "b/example/nSum/1.\344\270\244\346\225\260\344\271\213\345\222\214.js" deleted file mode 100644 index 1b2a11d..0000000 --- "a/example/nSum/1.\344\270\244\346\225\260\344\271\213\345\222\214.js" +++ /dev/null @@ -1,66 +0,0 @@ -/* - * @lc app=leetcode.cn id=1 lang=javascript - * - * [1] 两数之和 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @param {number} target - * @return {number[]} - */ -var twoSum = function (nums, target) { - let map = new Map(); - - for (let i = 0; i < nums.length; i++) { - let item = nums[i]; - let diffNum = target - item; - - if (map.has(diffNum)) { - return [map.get(diffNum), i]; - } else { - map.set(item, i); - } - } -}; - -// @lc code=end - -// -------------------------------------------------------------- -/** - * 泛化题: - * 如果假设输入一个数组 nums 和一个目标和 target,请你返回 nums 中能够凑出 target 的两个元素的值, - * 比如输入 nums = [5,3,1,6], target = 9,那么算法返回两个元素 [3,6]。 - * nums 中可能有多对儿元素之和都等于 target,请你的算法返回所有和为 target 的元素对儿,其中不能出现重复。 - * @param {*} nums - * @param {*} target - * @returns - */ -var twoSumTarget = function (nums, target) { - nums.sort((a, b) => a - b); - let lo = 0, - hi = nums.length - 1; - let res = []; - while (lo < hi) { - let left = nums[lo], - right = nums[hi]; - let sum = left + right; - - if (sum === target) { - res.push([left, right]); - // 去除重复答案 - while (lo < hi && nums[lo] === left) lo++; - while (lo < hi && nums[hi] === right) hi--; - } else if (sum < target) { - lo++; - } else if (sum > target) { - hi--; - } - } - - return res; -}; -// test -let res = twoSumTarget([1, 1, 1, 2, 2, 3, 3], 4); -console.log("[ res ] >", res); // [ [ 1, 3 ], [ 2, 2 ] ] diff --git "a/example/nSum/15.\344\270\211\346\225\260\344\271\213\345\222\214.js" "b/example/nSum/15.\344\270\211\346\225\260\344\271\213\345\222\214.js" deleted file mode 100644 index e480dff..0000000 --- "a/example/nSum/15.\344\270\211\346\225\260\344\271\213\345\222\214.js" +++ /dev/null @@ -1,76 +0,0 @@ -/* - * @lc app=leetcode.cn id=15 lang=javascript - * - * [15] 三数之和 - */ - -// @lc code=start - -// 使用改造twoSum的解法 -var twoSumTarget = function (nums, start, target) { - let lo = start, - hi = nums.length - 1; - let res = []; - while (lo < hi) { - let left = nums[lo], - right = nums[hi]; - let sum = left + right; - - if (sum === target) { - res.push([left, right]); - // 去除重复答案 - while (lo < hi && nums[lo] === left) lo++; - while (lo < hi && nums[hi] === right) hi--; - } else if (sum < target) { - lo++; - } else if (sum > target) { - hi--; - } - } - - return res; -}; - -/** - * @param {number[]} nums - * @return {number[][]} - */ -var threeSum = function (nums) { - nums.sort((a, b) => a - b); - const res = []; - const len = nums.length; - for (let i = 0; i < len; i++) { - let twoSumRes = twoSumTarget(nums, i + 1, 0 - nums[i]); - - for (const item of twoSumRes) { - item.push(nums[i]); - res.push(item); - } - - // 去除重复答案 - while (i < len - 1 && nums[i] === nums[i + 1]) i++; - } - - return res; -}; -// @lc code=end - -// -------------------------------------------------------------- -var threeSumTarget = function (nums, target) { - nums.sort((a, b) => a - b); - const res = []; - const len = nums.length; - for (let i = 0; i < len; i++) { - let twoSumRes = twoSumTarget(nums, i + 1, target - nums[i]); - - for (const item of twoSumRes) { - item.push(nums[i]); - res.push(item); - } - - // 去除重复答案 - while (i < len - 1 && nums[i] === nums[i + 1]) i++; - } - - return res; -}; diff --git "a/example/nSum/18.\345\233\233\346\225\260\344\271\213\345\222\214.js" "b/example/nSum/18.\345\233\233\346\225\260\344\271\213\345\222\214.js" deleted file mode 100644 index 297ba23..0000000 --- "a/example/nSum/18.\345\233\233\346\225\260\344\271\213\345\222\214.js" +++ /dev/null @@ -1,73 +0,0 @@ -/* - * @lc app=leetcode.cn id=18 lang=javascript - * - * [18] 四数之和 - */ - -// @lc code=start - -var threeSumTarget = function (nums, start, target) { - nums.sort((a, b) => a - b); - const res = []; - const len = nums.length; - for (let i = start; i < len; i++) { - let twoSumRes = twoSumTarget(nums, i + 1, target - nums[i]); - - for (const item of twoSumRes) { - item.push(nums[i]); - res.push(item); - } - - // 去除重复答案 - while (i < len - 1 && nums[i] === nums[i + 1]) i++; - } - - return res; -}; - -var twoSumTarget = function (nums, start, target) { - let lo = start, - hi = nums.length - 1; - let res = []; - while (lo < hi) { - let left = nums[lo], - right = nums[hi]; - let sum = left + right; - - if (sum === target) { - res.push([left, right]); - // 去除重复答案 - while (lo < hi && nums[lo] === left) lo++; - while (lo < hi && nums[hi] === right) hi--; - } else if (sum < target) { - lo++; - } else if (sum > target) { - hi--; - } - } - - return res; -}; - -/** - * @param {number[]} nums - * @param {number} target - * @return {number[][]} - */ -var fourSum = function (nums, target) { - nums.sort((a, b) => a - b); - const res = []; - const len = nums.length; - for (let i = 0; i < len; i++) { - let threeSumRes = threeSumTarget(nums, i + 1, target - nums[i]); - for (const item of threeSumRes) { - item.push(nums[i]); - res.push(item); - } - // 去除重复答案 - while (i < len - 1 && nums[i] === nums[i + 1]) i++; - } - - return res; -}; -// @lc code=end diff --git "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/154.\345\257\273\346\211\276\346\227\213\350\275\254\346\216\222\345\272\217\346\225\260\347\273\204\344\270\255\347\232\204\346\234\200\345\260\217\345\200\274-ii.js" "b/example/\344\272\214\345\210\206\346\220\234\347\264\242/154.\345\257\273\346\211\276\346\227\213\350\275\254\346\216\222\345\272\217\346\225\260\347\273\204\344\270\255\347\232\204\346\234\200\345\260\217\345\200\274-ii.js" deleted file mode 100644 index 8e80e2d..0000000 --- "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/154.\345\257\273\346\211\276\346\227\213\350\275\254\346\216\222\345\272\217\346\225\260\347\273\204\344\270\255\347\232\204\346\234\200\345\260\217\345\200\274-ii.js" +++ /dev/null @@ -1,46 +0,0 @@ -/* - * @lc app=leetcode.cn id=154 lang=javascript - * - * [154] 寻找旋转排序数组中的最小值 II - */ - -// @lc code=start -/** - * @param {number[]} nums - * @return {number} - */ -// 二分法寻找最小值 -var findMin = function (nums) { - let n = nums.length; - if (n === 1) return nums[0]; - // 原:[0,1,2,2,2,2,3,4,5,6] - // 后:[2,3,4,5,6,0,1,2,2,2] - // [2,3,4,5,6,0,1,2,2,2] - // l m > r ==> l=m+1; - // [2,3,4,5,6,0,1,2,2,2] - // l m = r ==> r=r-1; - // [2,3,4,5,6,0,1,2,2,2] - // l m < r ==> r=m; - // [2,3,4,5,6,0,1,2,2,2] - // l - // m r = m; - // 最后l=r;停止寻找 - - let left = 0, - right = n - 1; - while (left < right) { - // let mid = Math.floor((left + right) / 2); - let mid = (left + right) >> 1; - console.log(left, mid, right); - if (nums[mid] > nums[right]) { - left = mid + 1; - } else if (nums[mid] < nums[right]) { - right = mid; - } else if (nums[mid] === nums[right]) { - right = right - 1; - } - } - - return nums[right]; -}; -// @lc code=end diff --git "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/278.\347\254\254\344\270\200\344\270\252\351\224\231\350\257\257\347\232\204\347\211\210\346\234\254.js" "b/example/\344\272\214\345\210\206\346\220\234\347\264\242/278.\347\254\254\344\270\200\344\270\252\351\224\231\350\257\257\347\232\204\347\211\210\346\234\254.js" deleted file mode 100644 index 887cc90..0000000 --- "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/278.\347\254\254\344\270\200\344\270\252\351\224\231\350\257\257\347\232\204\347\211\210\346\234\254.js" +++ /dev/null @@ -1,42 +0,0 @@ -/* - * @lc app=leetcode.cn id=278 lang=javascript - * - * [278] 第一个错误的版本 - */ - -// @lc code=start -/** - * Definition for isBadVersion() - * - * @param {integer} version number - * @return {boolean} whether the version is bad - * isBadVersion = function(version) { - * ... - * }; - */ - -/** - * @param {function} isBadVersion() - * @return {function} - */ -var solution = function (isBadVersion) { - /** - * @param {integer} n Total versions - * @return {integer} The first bad version - */ - return function (n) { - let l = 1, r = n; - while (l < r) { - const mid = Math.floor(l + (r - l) / 2) - if (isBadVersion(mid)) { // 结果在[l,mid] - r = mid; - } else { - l = mid + 1; // 结果在[mid+1,r] - } - } - // 此时l=r,返回其中一个点即可 - return l; - }; -}; -// @lc code=end - diff --git "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/34.\345\234\250\346\216\222\345\272\217\346\225\260\347\273\204\344\270\255\346\237\245\346\211\276\345\205\203\347\264\240\347\232\204\347\254\254\344\270\200\344\270\252\345\222\214\346\234\200\345\220\216\344\270\200\344\270\252\344\275\215\347\275\256.js" "b/example/\344\272\214\345\210\206\346\220\234\347\264\242/34.\345\234\250\346\216\222\345\272\217\346\225\260\347\273\204\344\270\255\346\237\245\346\211\276\345\205\203\347\264\240\347\232\204\347\254\254\344\270\200\344\270\252\345\222\214\346\234\200\345\220\216\344\270\200\344\270\252\344\275\215\347\275\256.js" deleted file mode 100644 index 00faeaa..0000000 --- "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/34.\345\234\250\346\216\222\345\272\217\346\225\260\347\273\204\344\270\255\346\237\245\346\211\276\345\205\203\347\264\240\347\232\204\347\254\254\344\270\200\344\270\252\345\222\214\346\234\200\345\220\216\344\270\200\344\270\252\344\275\215\347\275\256.js" +++ /dev/null @@ -1,60 +0,0 @@ -/* - * @lc app=leetcode.cn id=34 lang=javascript - * - * [34] 在排序数组中查找元素的第一个和最后一个位置 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @param {number} target - * @return {number[]} - */ -var searchRange = function (nums, target) { - if (nums.length === 0) return [-1, -1]; - return [leftSearch(nums, target), rightSearch(nums, target)]; -}; - -var leftSearch = (nums, target) => { - let left = 0, - right = nums.length - 1; - while (left <= right) { - let mid = left + Math.floor((right - left) / 2); - if (nums[mid] < target) { - left = mid + 1; - } else if (nums[mid] > target) { - // 搜索区间变为 [left, mid-1] - right = mid - 1; - } else if (nums[mid] === target) { - // 搜索区间变为 [left, mid-1] - right = mid - 1; //注意 - } - } - - // left 是的区间是[0,nums.length] - // if (left === nums.length) return -1; // 越界 - return nums[left] === target ? left : -1; -}; - -var rightSearch = (nums, target) => { - let left = 0, - right = nums.length - 1; - - while (left <= right) { - let mid = left + Math.floor((right - left) / 2); - if (nums[mid] < target) { - left = mid + 1; - } else if (nums[mid] > target) { - right = mid - 1; - } else if (nums[mid] === target) { - left = mid + 1; //注意 - } - } - - // if (left - 1 < 0) return -1;// 防止越界 - // return nums[left - 1] === target ? right : -1; - // 当while结束时,left-1=right; - // if (right < 0) return -1;// 防止越界 - return nums[right] === target ? right : -1; -}; -// @lc code=end diff --git "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/35.\346\220\234\347\264\242\346\217\222\345\205\245\344\275\215\347\275\256.js" "b/example/\344\272\214\345\210\206\346\220\234\347\264\242/35.\346\220\234\347\264\242\346\217\222\345\205\245\344\275\215\347\275\256.js" deleted file mode 100644 index 93e3101..0000000 --- "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/35.\346\220\234\347\264\242\346\217\222\345\205\245\344\275\215\347\275\256.js" +++ /dev/null @@ -1,28 +0,0 @@ -/* - * @lc app=leetcode.cn id=35 lang=javascript - * - * [35] 搜索插入位置 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @param {number} target - * @return {number} - */ -var searchInsert = function (nums, target) { - let l = 0, r = nums.length - 1; - while (l <= r) { - const mid = Math.floor(l + (r - l) / 2); - if (nums[mid] === target) { - return mid; - } else if (nums[mid] > target) { - r = mid - 1; - } else if (nums[mid] < target) { - l = mid + 1; - } - } - return l; -}; -// @lc code=end - diff --git "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/704.\344\272\214\345\210\206\346\237\245\346\211\276.js" "b/example/\344\272\214\345\210\206\346\220\234\347\264\242/704.\344\272\214\345\210\206\346\237\245\346\211\276.js" deleted file mode 100644 index 3d103c2..0000000 --- "a/example/\344\272\214\345\210\206\346\220\234\347\264\242/704.\344\272\214\345\210\206\346\237\245\346\211\276.js" +++ /dev/null @@ -1,28 +0,0 @@ -/* - * @lc app=leetcode.cn id=704 lang=javascript - * - * [704] 二分查找 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @param {number} target - * @return {number} - */ -var search = function (nums, target) { - let left = 0, - right = nums.length - 1; - while (left <= right) { - let mid = Math.floor(left + (right - left) / 2); - if (nums[mid] === target) { - return mid; - } else if (nums[mid] > target) { - right = mid - 1; - } else if (nums[mid] < target) { - left = mid + 1; - } - } - return -1; -}; -// @lc code=end diff --git "a/example/\344\272\214\345\217\211\346\240\221/100.\347\233\270\345\220\214\347\232\204\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/100.\347\233\270\345\220\214\347\232\204\346\240\221.md" deleted file mode 100644 index f227839..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/100.\347\233\270\345\220\214\347\232\204\346\240\221.md" +++ /dev/null @@ -1,25 +0,0 @@ -## [100. 相同的树](https://leetcode.cn/problems/same-tree/) easy - -时间复杂度 O(N) -空间复杂度 O(H) 树的高度,递归深度 - -- 思路 -- 分:获取左子树和右子树 -- 解:递归的判断 左子树的与左节点 跟 右子树的右节点,且:左子树的右节点 跟 右子树的左节点相等 -- 合:若符合上述条件,则是一棵镜象的树 - -```js -/** - * @param {TreeNode} p - * @param {TreeNode} q - * @return {boolean} - */ -var isSameTree = function (p, q) { - if (p === null && q === null) return true; - if (p === null || q === null) return false; - if (p.val !== q.val) return false; - - // 走到这里说明p.val === q.val - return isSameTree(p.left, q.left) && isSameTree(p.right, q.right); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/101.\345\257\271\347\247\260\344\272\214\345\217\211\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/101.\345\257\271\347\247\260\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index fe2b07f..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/101.\345\257\271\347\247\260\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [101. 对称二叉树](https://leetcode.cn/problems/symmetric-tree/) easy - -时间复杂度 O(N) -空间复杂度 O(H) 树的高度,递归深度 - -- 思路 -- 分:获取左子树和右子树 -- 解:递归的判断两个树的左子树是否相等,右子树是否相等 -- 合:将上述结构合并,判断val是否相等,如果根节点也相等,那么树就相等 -- 与100题相比,这个是判断子树是否对称 -- 也可以使用层序遍历,把每一层的节点求出,然后左右指针进行 向内比较,判断每一层是否对称 - -```js -/** - * @param {TreeNode} root - * @return {boolean} - */ -var isSymmetric = function (root) { - if (root === null) return true; - // 检查子树是否对称 - const check = (leftRoot, rightRoot) => { - if (leftRoot === null || rightRoot === null) return leftRoot === rightRoot; - if (leftRoot.val !== rightRoot.val) return false; - - // 走到这里说明leftRoot.val === rightRoot.val,然后判断对称子树是否相等 - return check(leftRoot.right, rightRoot.left) && check(leftRoot.left, rightRoot.right); - } - - return check(root.left, root.right); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/102.\344\272\214\345\217\211\346\240\221\347\232\204\345\261\202\345\272\217\351\201\215\345\216\206.md" "b/example/\344\272\214\345\217\211\346\240\221/102.\344\272\214\345\217\211\346\240\221\347\232\204\345\261\202\345\272\217\351\201\215\345\216\206.md" deleted file mode 100644 index 3abc905..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/102.\344\272\214\345\217\211\346\240\221\347\232\204\345\261\202\345\272\217\351\201\215\345\216\206.md" +++ /dev/null @@ -1,36 +0,0 @@ -## [102.二叉树的层序遍历](https://leetcode.cn/problems/binary-tree-level-order-traversal/) medium - -时间复杂度 O(N) -空间复杂度 O(N) -- 思路 -- 层级 + 广度优先遍历 -- 返回值用数组存放 - -```js -/** - * @param {TreeNode} root - * @return {number[][]} - */ -var levelOrder = function (root) { - if (!root) return []; - const q = [root]; - const res = []; - let level = 0; - - while (q.length) { - for (let i = 0, len = q.length; i < len; i++) { - const node = q.shift(); - if (!res[level]) { - res[level] = [node.val]; - } else { - res[level].push(node.val); - } - - node.left && q.push(node.left); - node.right && q.push(node.right); - } - level += 1; - } - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/1022.\344\273\216\346\240\271\345\210\260\345\217\266\347\232\204\344\272\214\350\277\233\345\210\266\346\225\260\344\271\213\345\222\214.md" "b/example/\344\272\214\345\217\211\346\240\221/1022.\344\273\216\346\240\271\345\210\260\345\217\266\347\232\204\344\272\214\350\277\233\345\210\266\346\225\260\344\271\213\345\222\214.md" deleted file mode 100644 index 27452ab..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/1022.\344\273\216\346\240\271\345\210\260\345\217\266\347\232\204\344\272\214\350\277\233\345\210\266\346\225\260\344\271\213\345\222\214.md" +++ /dev/null @@ -1,28 +0,0 @@ -## [1022.从根到叶的二进制数之和](https://leetcode.cn/problems/sum-of-root-to-leaf-binary-numbers/) easy - - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var sumRootToLeaf = function (root) { - let dept = []; - - const traverse = (root, s) => { - if (root === null) return; - s += root.val; - if (root.left === null && root.right === null) { - dept.push(s); - } - traverse(root.left, s); - traverse(root.right, s); - s -= root.val; - }; - - traverse(root, ""); - - const res = dept.reduce((pre, cur) => parseInt(pre) + parseInt(cur, 2), "0"); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/103.\344\272\214\345\217\211\346\240\221\347\232\204\351\224\257\351\275\277\345\275\242\345\261\202\345\272\217\351\201\215\345\216\206.md" "b/example/\344\272\214\345\217\211\346\240\221/103.\344\272\214\345\217\211\346\240\221\347\232\204\351\224\257\351\275\277\345\275\242\345\261\202\345\272\217\351\201\215\345\216\206.md" deleted file mode 100644 index 60c10da..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/103.\344\272\214\345\217\211\346\240\221\347\232\204\351\224\257\351\275\277\345\275\242\345\261\202\345\272\217\351\201\215\345\216\206.md" +++ /dev/null @@ -1,35 +0,0 @@ -## [103.二叉树的锯齿形层序遍历](https://leetcode.cn/problems/binary-tree-zigzag-level-order-traversal/) medium - -- 跟102.层序遍历思路差不多 -- 在层序遍历的基础上加一个标识flag, -- 根据flag,判断当前层级遍历结果是push还是unshift进数组,改变结果推入顺序 - -```js -/** - * @param {TreeNode} root - * @return {number[][]} - */ -var zigzagLevelOrder = function (root) { - if (!root) return []; - const q = [root]; - const res = []; - let isLeft = true; // true 表示 --> 从左向右 - while (q.length) { - let levelResult = []; // 当前层级遍历结果 - for (let i = 0, len = q.length; i < len; i++) { - const node = q.shift(); - if (isLeft) { - levelResult.push(node.val); - } else { - levelResult.unshift(node.val); - } - - node.left && q.push(node.left); - node.right && q.push(node.right); - } - isLeft = !isLeft; - res.push(levelResult); - } - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/1038.\344\273\216\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\345\210\260\346\233\264\345\244\247\345\222\214\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/1038.\344\273\216\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\345\210\260\346\233\264\345\244\247\345\222\214\346\240\221.md" deleted file mode 100644 index ba923b6..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/1038.\344\273\216\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\345\210\260\346\233\264\345\244\247\345\222\214\346\240\221.md" +++ /dev/null @@ -1,22 +0,0 @@ -## [1038.从二叉搜索树到更大和树](https://leetcode.cn/problems/binary-search-tree-to-greater-sum-tree/) medium - -- 与538同题 - -```js -/** - * @param {TreeNode} root - * @return {TreeNode} - */ -var bstToGst = function (root) { - let sum = 0; - const traverse = (root) => { - if (root === null) return; - traverse(root.right); - sum += root.val; - root.val = sum; - traverse(root.left); - }; - traverse(root); - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/104.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\345\244\247\346\267\261\345\272\246.md" "b/example/\344\272\214\345\217\211\346\240\221/104.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\345\244\247\346\267\261\345\272\246.md" deleted file mode 100644 index 2aa4d08..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/104.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\345\244\247\346\267\261\345\272\246.md" +++ /dev/null @@ -1,53 +0,0 @@ -## [104.二叉树的最大深度](https://leetcode.cn/problems/maximum-depth-of-binary-tree/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - 看似是O(1) 然而在函数递归调用的时候有函数调用栈的空间,所以最坏情况下是O(N) - -- 思路 -- 遍历二叉树 -- 遍历时,为每个节点标记层级 -- 记录最大值并返回,可以 只比较叶子节点的层级,做优化提升 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -// 遍历解法:对应回溯算法 -var maxDepth = function (root) { - let res = 0; - let deep = 0; // 当前深度 - const traverse = (root) => { - if (root === null) { // 到达根节点 - res = Math.max(res, deep); // 更新结果 - return; - } - deep++; - traverse(root.left); - traverse(root.right); - deep--; - }; - traverse(root); - return res; -}; -``` - -- 分解子问题解法:对应动态规划解法 -- 定义:maxDepth函数返回输入节点的最大深度 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var maxDepth = function (root) { - // base case - if (root === null) { - return 0; - } - let leftDepth = maxDepth(root.left); // 获取左子树的最大深度 - let rightDepth = maxDepth(root.right); // 获取右子树的最大深度 - return Math.max(leftDepth, rightDepth) + 1; // 取左右子树中的最大深度 + 当前节点,即返回当前节点的最大深度 -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/105.\344\273\216\345\211\215\345\272\217\344\270\216\344\270\255\345\272\217\351\201\215\345\216\206\345\272\217\345\210\227\346\236\204\351\200\240\344\272\214\345\217\211\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/105.\344\273\216\345\211\215\345\272\217\344\270\216\344\270\255\345\272\217\351\201\215\345\216\206\345\272\217\345\210\227\346\236\204\351\200\240\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index 24b198a..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/105.\344\273\216\345\211\215\345\272\217\344\270\216\344\270\255\345\272\217\351\201\215\345\216\206\345\272\217\345\210\227\346\236\204\351\200\240\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,64 +0,0 @@ -## [105.从前序与中序遍历序列构造二叉树](https://leetcode.cn/problems/construct-binary-tree-from-preorder-and-inorder-traversal/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -思路 -- 构建二叉树的第一步就是找到根节点,然后找出左右的根,递归构建出左右子树 -- 根据前序遍历的特点,前序遍历的第一个元素就是根节点,剩下就是如何构建左右子树 -```js -root.left = build(preorder, ??? , ???, inorder, inStart, rootIndex - 1); -root.right = build(preorder, ??? , ??? , inorder, rootIndex + 1, inEnd); -``` -- 中序遍历,根结点位置之前的就是左子树,之后的就是右子树,所以根据根节点所在位置,很容易写出中序遍历结构,左右子树的范围 -- 难点在于 ??? 的位置如果划分(也就是前序遍历,左右子树的范围) -- 可以从中序遍历入手,可以从根结点到开始的位置,知道左子树的长度 -- 在前序遍历中,左子树的位置范围就是 (preStart+1 , preStart + leftSize) -- 右子树的位置范围就是(preStart + leftSize +1 , preEnd) -- 最后找出base case 跳出递归的条件,preStart > preEnd 就返回null - -```js -/** - * @param {number[]} preorder - * @param {number[]} inorder - * @return {TreeNode} - */ -var buildTree = function (preorder, inorder) { - return build( - preorder, - 0, - preorder.length - 1, - inorder, - 0, - inorder.length - 1 - ); -}; - -const build = (preorder, preStart, preEnd, inorder, inoStart, inoEnd) => { - if (preStart > preEnd) return null; - const rootVal = preorder[preStart]; - const inoRootIndex = inorder.indexOf(rootVal); - - const leftSize = inoRootIndex - inoStart; - - const root = new TreeNode(rootVal); - - root.left = build( - preorder, - preStart + 1, - preStart + leftSize, - inorder, - inoStart, - inoRootIndex - 1 - ); - root.right = build( - preorder, - preStart + leftSize + 1, - preEnd, - inorder, - inoRootIndex + 1, - inoEnd - ); - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/106.\344\273\216\344\270\255\345\272\217\344\270\216\345\220\216\345\272\217\351\201\215\345\216\206\345\272\217\345\210\227\346\236\204\351\200\240\344\272\214\345\217\211\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/106.\344\273\216\344\270\255\345\272\217\344\270\216\345\220\216\345\272\217\351\201\215\345\216\206\345\272\217\345\210\227\346\236\204\351\200\240\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index 26e8739..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/106.\344\273\216\344\270\255\345\272\217\344\270\216\345\220\216\345\272\217\351\201\215\345\216\206\345\272\217\345\210\227\346\236\204\351\200\240\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,66 +0,0 @@ -## [106.从中序与后序遍历序列构造二叉树](https://leetcode.cn/problems/construct-binary-tree-from-inorder-and-postorder-traversal/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 跟105很像 -- 先根据后序遍历的最后一位是根节点的特点,找出根 -- 然后找出跟节点在中序遍历的位置,根据根的位置,求出左子树的长度 -- 递归的构建左右子树 - -```js -/** - * @param {number[]} inorder - * @param {number[]} postorder - * @return {TreeNode} - */ -//中序 [9, 3, 15, 20, 7] -// ^ ^ ^ ^ -// | | | | -// l root ---r--- - -//后序 [9, 15, 7, 20, 3] -// ^ ^ ^ -// | | | -// ---r--- root - -var buildTree = function (inorder, postorder) { - return build( - inorder, - 0, - inorder.length - 1, - postorder, - 0, - postorder.length - 1 - ); -}; - -const build = (inorder, inStart, inEnd, postorder, poStart, poEnd) => { - if (inStart > inEnd) return null; - let rootVal = postorder[poEnd]; - let rootIndex = inorder.indexOf(rootVal); - - const leftSize = rootIndex - inStart; - const root = new TreeNode(rootVal); - - root.left = build( - inorder, - inStart, - rootIndex - 1, - postorder, - poStart, - poStart + leftSize - 1 - ); - root.right = build( - inorder, - rootIndex + 1, - inEnd, - postorder, - poStart + leftSize, - poEnd - 1 - ); - - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/107.\344\272\214\345\217\211\346\240\221\347\232\204\345\261\202\345\272\217\351\201\215\345\216\206-ii.md" "b/example/\344\272\214\345\217\211\346\240\221/107.\344\272\214\345\217\211\346\240\221\347\232\204\345\261\202\345\272\217\351\201\215\345\216\206-ii.md" deleted file mode 100644 index a10b8b6..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/107.\344\272\214\345\217\211\346\240\221\347\232\204\345\261\202\345\272\217\351\201\215\345\216\206-ii.md" +++ /dev/null @@ -1,26 +0,0 @@ -## [107.二叉树的层序遍历-ii](https://leetcode.cn/problems/binary-tree-level-order-traversal-ii/) medium - - -```js -/** - * @param {TreeNode} root - * @return {number[][]} - */ -var levelOrderBottom = function (root) { - if (!root) return []; - const q = [root]; - const res = []; - - while (q.length) { - let levelRes = []; - for (let i = 0, len = q.length; i < len; i++) { - const node = q.shift(); - levelRes.push(node.val); - node.left && q.push(node.left); - node.right && q.push(node.right); - } - res.unshift(levelRes); - } - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/108.\345\260\206\346\234\211\345\272\217\346\225\260\347\273\204\350\275\254\346\215\242\344\270\272\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/108.\345\260\206\346\234\211\345\272\217\346\225\260\347\273\204\350\275\254\346\215\242\344\270\272\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" deleted file mode 100644 index 5a16925..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/108.\345\260\206\346\234\211\345\272\217\346\225\260\347\273\204\350\275\254\346\215\242\344\270\272\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [108.将有序数组转换为二叉搜索树](https://leetcode.cn/problems/convert-sorted-array-to-binary-search-tree/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 对于二叉搜索树(BST)来说,数组按照升序排列就是中序遍历 的结果 -- 所以,数组中间的数就是根节点,左区间是左子树,右区间是右子树 -- 而对于左右区间来说,中间也是左右子树 的 根节点 -- 当left > right时,区间为空null -- 递归找出所有区间的根和左右子树,返回根节点即可 - -```js -/** - * @param {number[]} nums - * @return {TreeNode} - */ -var sortedArrayToBST = function (nums) { - const build = (nums, left, right) => { - if (left > right) return null; //空区间返回null - let mid = Math.floor((left + right) / 2); - let root = new TreeNode(nums[mid]); - root.left = build(nums, left, mid - 1); - root.right = build(nums, mid + 1, right); - return root; - }; - - return build(nums, 0, nums.length - 1); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/109.\346\234\211\345\272\217\351\223\276\350\241\250\350\275\254\346\215\242\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/109.\346\234\211\345\272\217\351\223\276\350\241\250\350\275\254\346\215\242\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" deleted file mode 100644 index 3658d27..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/109.\346\234\211\345\272\217\351\223\276\350\241\250\350\275\254\346\215\242\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" +++ /dev/null @@ -1,51 +0,0 @@ -## [109.有序链表转换二叉搜索树](https://leetcode.cn/problems/convert-sorted-list-to-binary-search-tree/) medium - -- 思路 -- 可以讲链表转换成数组,然后根据108题的函数,转换成BST -- 找出链表的中心节点,然后跟108题一样构建bst - -```js -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * Definition for a binary tree node. - * function TreeNode(val, left, right) { - * this.val = (val===undefined ? 0 : val) - * this.left = (left===undefined ? null : left) - * this.right = (right===undefined ? null : right) - * } - */ -/** - * @param {ListNode} head - * @return {TreeNode} - */ -var sortedListToBST = function (head) { - return build(head, null); -}; - -// [begin,end)内的链表,构建为BST -const build = (begin, end) => { - if (begin === end) return null; - - const mid = getMid(begin, end); - let root = new TreeNode(mid.val); - root.left = build(begin, mid); - root.right = build(mid.next, end); - return root; -}; - -const getMid = (begin, end) => { - let mid = begin, - fast = begin; - while (fast !== end && fast.next !== end) { - mid = mid.next; - fast = fast.next.next; - } - return mid; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/110.\345\271\263\350\241\241\344\272\214\345\217\211\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/110.\345\271\263\350\241\241\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index f3e16ec..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/110.\345\271\263\350\241\241\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,34 +0,0 @@ -## [110.平衡二叉树](https://leetcode.cn/problems/balanced-binary-tree/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 为了判断是否平衡,拍脑袋的想法是计算每个节点的最大高度,但是每个节点都算一遍最大深度,时间复杂度比较高 -- 所以,最好过来想,只计算一次最大深度,在计算过程中判断二叉树是否平衡 -- 对于每个节点,先算出来左右子树的最大深度,然后在后序遍历的位置,然后根据 左右子树的最大高度 判断平衡性 - -```js -/** - * @param {TreeNode} root - * @return {boolean} - */ -var isBalanced = function (root) { - let res = true; - - const traverse = (root) => { - if (root === null) return 0; - if (!res) return; // res 已经为false了,可以停止遍历了 - - const leftMaxDepth = traverse(root.left); - const rightMaxDepth = traverse(root.right); - if (Math.abs(leftMaxDepth - rightMaxDepth) > 1) { - res = false; - } - return Math.max(leftMaxDepth, rightMaxDepth) + 1; - }; - - traverse(root); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/111.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\345\260\217\346\267\261\345\272\246.md" "b/example/\344\272\214\345\217\211\346\240\221/111.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\345\260\217\346\267\261\345\272\246.md" deleted file mode 100644 index d3ceef2..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/111.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\345\260\217\346\267\261\345\272\246.md" +++ /dev/null @@ -1,59 +0,0 @@ -## [111.二叉树的最小深度](https://leetcode.cn/problems/minimum-depth-of-binary-tree/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - -- DFS 会经过所有的节点 -- 而 BFS 求最小的深度,只需要找到离 root 节点最近的根结点 -- 返回该根节点所在的层数即可,所以无需遍历所有节点,时间复杂度低,但是空间复杂度高一点 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -/** - * DFS会经过所有的节点 - * 而BFS求最小的深度,只需要找到离root节点最近的根结点 - * 返回该根节点所在的层数即可,所以无需遍历所有节点,时间复杂度低,但是空间复杂度高一点 - */ -// BFS解法 -var minDepth = function (root) { - if (root === null) return 0; - const q = [root]; // 队列 - let deep = 1; // 初始深度为1 - while (q.length) { - const len = q.length; - for (let i = 0; i < len; i++) { - const cur = q.shift(); - // 当走到第一个叶子结点,返回deep - if (cur.left === null && cur.right === null) return deep; - if (cur.left !== null) q.push(cur.left); - if (cur.right !== null) q.push(cur.right); - } - deep++; - } - return deep; -}; -``` - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -// DFS解法 -var minDepthDFS = function (root) { - let res = Infinity; - const traverse = (root, deep) => { - if (root === null) return; - if (root.left === null && root.right === null) { - res = Math.min(deep, res); - } - traverse(root.left, deep + 1); - traverse(root.right, deep + 1); - }; - traverse(root, 1); - return res === Infinity ? [] : res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/112.\350\267\257\345\276\204\346\200\273\345\222\214.md" "b/example/\344\272\214\345\217\211\346\240\221/112.\350\267\257\345\276\204\346\200\273\345\222\214.md" deleted file mode 100644 index 050bd3b..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/112.\350\267\257\345\276\204\346\200\273\345\222\214.md" +++ /dev/null @@ -1,55 +0,0 @@ -## [112.路径总和](https://leetcode.cn/problems/path-sum/) easy - -时间复杂度 O(N) -空间复杂度 O(lonN) 函数调用堆栈 -- 思路 -- 最初想法是判断左孩子比右孩子小,但是这样的话,没办法保证保证根节点比右孩子小,比左孩子大 这一问题 -- 所以将根结点也考虑进去,max.val > root.val > min.val -- 所以使用辅助函数,限定左子树的最大值是 root.val,右子树的最小值是 root.val - -```js -/** - * @param {TreeNode} root - * @param {number} targetSum - * @return {boolean} - */ -// 常规思路,遍历二叉树,在遍历过程中积累路径和, -// 当遍历到叶子结点的时候,判断路径和是否与targetSum相等 -var hasPathSum = function (root, targetSum) { - if (root === null) return false; - let curSum = 0; //当前和 - let found = false; // 判断是否找 - const traverse = (root) => { - if (root === null) return; - - curSum += root.val; - if (root.left === root.right) { - if (curSum === targetSum) found = true; - } - traverse(root.left); - traverse(root.right); - curSum -= root.val; - }; - traverse(root); - return found; -}; - - -``` - -- 动态规划解法 -- 拆分子问题,用小问题推到出大问题 -- 输入一个根结点,该根结点的路径和是否能凑到targetSum - -```js -var hasPathSum = function (root, targetSum) { - if (root === null) return false; - if (root.left === root.right && root.val === targetSum) { - return true; - } - return ( - hasPathSum(root.left, targetSum - root.val) || - hasPathSum(root.right, targetSum - root.val) - ); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/113.\350\267\257\345\276\204\346\200\273\345\222\214-ii.md" "b/example/\344\272\214\345\217\211\346\240\221/113.\350\267\257\345\276\204\346\200\273\345\222\214-ii.md" deleted file mode 100644 index 0dbfc95..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/113.\350\267\257\345\276\204\346\200\273\345\222\214-ii.md" +++ /dev/null @@ -1,41 +0,0 @@ -## [113.路径总和-ii](https://leetcode.cn/problems/path-sum-ii/) medium - -- 112是求结果,这道题是求所有的路径结果 - -```js -/** - * @param {TreeNode} root - * @param {number} targetSum - * @return {number[][]} - */ -// 需要维护一个path,遍历时经过的路径 -var pathSum = function (root, targetSum) { - if (!root) return []; - let res = []; - let path = []; - const traverse = (root, targetSum, path) => { - if (root === null) return; - - let remain = targetSum - root.val; - if (root.left === null && root.right === null) { - if (remain === 0) { - path.push(root.val); - res.push([...path]); - path.pop(); - } - return; - } - - path.push(root.val); //进入的时候给path添加值 - traverse(root.left, remain, path); - path.pop(); // 退出的时候,删除path - - path.push(root.val); - traverse(root.right, remain, path); - path.pop(); - }; - - traverse(root, targetSum, path); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/114.\344\272\214\345\217\211\346\240\221\345\261\225\345\274\200\344\270\272\351\223\276\350\241\250.md" "b/example/\344\272\214\345\217\211\346\240\221/114.\344\272\214\345\217\211\346\240\221\345\261\225\345\274\200\344\270\272\351\223\276\350\241\250.md" deleted file mode 100644 index 86f111c..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/114.\344\272\214\345\217\211\346\240\221\345\261\225\345\274\200\344\270\272\351\223\276\350\241\250.md" +++ /dev/null @@ -1,35 +0,0 @@ -## [114.二叉树展开为链表](https://leetcode.cn/problems/flatten-binary-tree-to-linked-list/) medium - -时间复杂度 O(N) -空间复杂度 O(1) -- 思路 -- 分解子问题解法 -- 将 root 的左子树和右子树拉平 -- 将 root 的左子树替换成root的右子树,然后把原来的右子树,接到现在右子树的尾部 - -```js -/** - * @param {TreeNode} root - * @return {void} Do not return anything, modify root in-place instead. - */ -var flatten = function (root) { - if (root === null) return; - flatten(root.left); - flatten(root.right); - // 后序遍历位置 - let left = root.left; - let right = root.right; - - // 1.先将左子树清空 - root.left = null; - // 2.将原来左子树,替换到原来右子树的位置 - root.right = left; - - // 3.将原来的右子树接到现在右子树的后面 - let p = root; - while (p.right !== null) { - p = p.right; - } - p.right = right; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/116.\345\241\253\345\205\205\346\257\217\344\270\252\350\212\202\347\202\271\347\232\204\344\270\213\344\270\200\344\270\252\345\217\263\344\276\247\350\212\202\347\202\271\346\214\207\351\222\210.md" "b/example/\344\272\214\345\217\211\346\240\221/116.\345\241\253\345\205\205\346\257\217\344\270\252\350\212\202\347\202\271\347\232\204\344\270\213\344\270\200\344\270\252\345\217\263\344\276\247\350\212\202\347\202\271\346\214\207\351\222\210.md" deleted file mode 100644 index a0ad9cb..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/116.\345\241\253\345\205\205\346\257\217\344\270\252\350\212\202\347\202\271\347\232\204\344\270\213\344\270\200\344\270\252\345\217\263\344\276\247\350\212\202\347\202\271\346\214\207\351\222\210.md" +++ /dev/null @@ -1,34 +0,0 @@ -## [116.填充每个节点的下一个右侧节点指针](https://leetcode.cn/problems/populating-next-right-pointers-in-each-node/) medium - -时间复杂度 O(N) -空间复杂度 O(logN) -- 思路 -- 最初想法,是直接将root.left.next = root.right,但是这样的话,跨节点的树就没办法连接 -- 例如:5的next没办法跟6连接到一起 -- 所以使用一个辅助函数,将两个相邻节点进行连接,从而实现跨节点相连 -- 将节点之间的空隙看成一颗树,然后去遍历这颗树 - -```js -/** - * @param {Node} root - * @return {Node} - */ -// 也可以使用117题的层序遍历方法 -// 这里是完全二叉树,使用递归更方便 -var connect = function (root) { - if (root === null) return null; - traverse(root.left, root.right); - return root; -}; - -const traverse = (node1, node2) => { - if (node1 === null || node2 === null) return; - - node1.next = node2; - - traverse(node1.left, node1.right); - traverse(node2.left, node2.right); - - traverse(node1.right, node2.left); // 重点:跨树向连节点 -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/117.\345\241\253\345\205\205\346\257\217\344\270\252\350\212\202\347\202\271\347\232\204\344\270\213\344\270\200\344\270\252\345\217\263\344\276\247\350\212\202\347\202\271\346\214\207\351\222\210-ii.md" "b/example/\344\272\214\345\217\211\346\240\221/117.\345\241\253\345\205\205\346\257\217\344\270\252\350\212\202\347\202\271\347\232\204\344\270\213\344\270\200\344\270\252\345\217\263\344\276\247\350\212\202\347\202\271\346\214\207\351\222\210-ii.md" deleted file mode 100644 index ea4c4a7..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/117.\345\241\253\345\205\205\346\257\217\344\270\252\350\212\202\347\202\271\347\232\204\344\270\213\344\270\200\344\270\252\345\217\263\344\276\247\350\212\202\347\202\271\346\214\207\351\222\210-ii.md" +++ /dev/null @@ -1,29 +0,0 @@ -## [117.填充每个节点的下一个右侧节点指针-ii](https://leetcode.cn/problems/populating-next-right-pointers-in-each-node-ii/) medium - -- 层序遍历 -- 使用pur记录当前层的上一个遍历的结果 -- 然后在该层遍历时,进行连接 - -```js -/** - * @param {Node} root - * @return {Node} - */ -var connect = function (root) { - if (root === null) return null; - const q = [root]; - while (q.length) { - let pur = null; // 当前层 - for (let i = 0, len = q.length; i < len; i++) { - const node = q.shift(); - if (pur) { - pur.next = node; - } - pur = node; - node.left && q.push(node.left); - node.right && q.push(node.right); - } - } - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/124.\344\272\214\345\217\211\346\240\221\344\270\255\347\232\204\346\234\200\345\244\247\350\267\257\345\276\204\345\222\214.md" "b/example/\344\272\214\345\217\211\346\240\221/124.\344\272\214\345\217\211\346\240\221\344\270\255\347\232\204\346\234\200\345\244\247\350\267\257\345\276\204\345\222\214.md" deleted file mode 100644 index ffadf05..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/124.\344\272\214\345\217\211\346\240\221\344\270\255\347\232\204\346\234\200\345\244\247\350\267\257\345\276\204\345\222\214.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [124.二叉树中的最大路径和](https://leetcode.cn/problems/binary-tree-maximum-path-sum/) hard - -- 求二叉树最大路径和 -- 相当于从根节点出发,求左子树最大和,与右子树最大和,再加上跟节点就是最大路径和 -- 所以这里需要求单边最大的和,在求单边最大和的过程中,计算左右子树最大和+根节点和 -- 最大的和就是最大路径和 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var maxPathSum = function (root) { - if (root === null) return 0; - let res = -Infinity; - - const onSideMax = (root) => { - if (root === null) return 0; - - let leftMax = Math.max(0, onSideMax(root.left)); - let rightMax = Math.max(0, onSideMax(root.right)); - - let sum = leftMax + rightMax + root.val; - res = Math.max(res, sum); - return Math.max(leftMax, rightMax) + root.val; - }; - - onSideMax(root); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/129.\346\261\202\346\240\271\350\212\202\347\202\271\345\210\260\345\217\266\350\212\202\347\202\271\346\225\260\345\255\227\344\271\213\345\222\214.md" "b/example/\344\272\214\345\217\211\346\240\221/129.\346\261\202\346\240\271\350\212\202\347\202\271\345\210\260\345\217\266\350\212\202\347\202\271\346\225\260\345\255\227\344\271\213\345\222\214.md" deleted file mode 100644 index 45c2be9..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/129.\346\261\202\346\240\271\350\212\202\347\202\271\345\210\260\345\217\266\350\212\202\347\202\271\346\225\260\345\255\227\344\271\213\345\222\214.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [129.求根节点到叶节点数字之和](https://leetcode.cn/problems/sum-root-to-leaf-numbers/) medium - -- 前序遍历 -- 在遍历过程中记录path,在后序遍历位置,删除path中的元素 -- 然后在遍历到叶子结点的时候,将path转化为数字,然后累加 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var sumNumbers = function (root) { - let res = 0; - let path = []; - - const traverse = (root) => { - if (root === null) return; - path.push(root.val); - if (root.left === null && root.right === null) { - res += path.reduce((a, b) => a * 10 + b); - } - root.left && traverse(root.left); - root.right && traverse(root.right); - path.pop(); - }; - - traverse(root); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/144.\344\272\214\345\217\211\346\240\221\347\232\204\345\211\215\345\272\217\351\201\215\345\216\206.md" "b/example/\344\272\214\345\217\211\346\240\221/144.\344\272\214\345\217\211\346\240\221\347\232\204\345\211\215\345\272\217\351\201\215\345\216\206.md" deleted file mode 100644 index fe33db9..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/144.\344\272\214\345\217\211\346\240\221\347\232\204\345\211\215\345\272\217\351\201\215\345\216\206.md" +++ /dev/null @@ -1,20 +0,0 @@ -## [144.二叉树的前序遍历](https://leetcode.cn/problems/binary-tree-preorder-traversal/) easy - - -```js -/** - * @param {TreeNode} root - * @return {number[]} - */ -var preorderTraversal = function (root) { - let res = []; - const traversal = (root) => { - if (root === null) return; - res.push(root.val); - traversal(root.left); - traversal(root.right); - }; - traversal(root); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/145.\344\272\214\345\217\211\346\240\221\347\232\204\345\220\216\345\272\217\351\201\215\345\216\206.md" "b/example/\344\272\214\345\217\211\346\240\221/145.\344\272\214\345\217\211\346\240\221\347\232\204\345\220\216\345\272\217\351\201\215\345\216\206.md" deleted file mode 100644 index 509096d..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/145.\344\272\214\345\217\211\346\240\221\347\232\204\345\220\216\345\272\217\351\201\215\345\216\206.md" +++ /dev/null @@ -1,20 +0,0 @@ -## [145.二叉树的后序遍历](https://leetcode.cn/problems/binary-tree-postorder-traversal/) easy - - -```js -/** - * @param {TreeNode} root - * @return {number[]} - */ -var postorderTraversal = function (root) { - let res = []; - const traversal = (root) => { - if (root === null) return; - traversal(root.left); - traversal(root.right); - res.push(root.val); - }; - traversal(root); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/173.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\350\277\255\344\273\243\345\231\250.md" "b/example/\344\272\214\345\217\211\346\240\221/173.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\350\277\255\344\273\243\345\231\250.md" deleted file mode 100644 index c22e1ef..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/173.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\350\277\255\344\273\243\345\231\250.md" +++ /dev/null @@ -1,48 +0,0 @@ -## [173.二叉搜索树迭代器](https://leetcode.cn/problems/binary-search-tree-iterator/) medium - -- 使用栈模拟中序遍历时,函数调用的过程 -- 中序遍历时,先访问左子树, -- 当访问到左子树叶子结点,向上访问节点,然后访问该节点的右节点的左子树叶, -- 然后循环该过程 - -```js -// 思路:使用栈模拟中序遍历的递归过程 -/** - * @param {TreeNode} root - */ -var BSTIterator = function (root) { - this.traverseLeft(root); -}; - -BSTIterator.prototype.stack = []; -BSTIterator.prototype.traverseLeft = function (node) { - while (node !== null) { - this.stack.push(node); - node = node.left; - } -}; - -/** - * @return {number} - */ -BSTIterator.prototype.next = function () { - let curNode = this.stack.pop(); - this.traverseLeft(curNode.right); - return curNode.val; -}; - -/** - * @return {boolean} - */ -BSTIterator.prototype.hasNext = function () { - return this.stack.length !== 0; -}; - -/** - * Your BSTIterator object will be instantiated and called as such: - * var obj = new BSTIterator(root) - * var param_1 = obj.next() - * var param_2 = obj.hasNext() - */ -// @lc code=end -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/199.\344\272\214\345\217\211\346\240\221\347\232\204\345\217\263\350\247\206\345\233\276.md" "b/example/\344\272\214\345\217\211\346\240\221/199.\344\272\214\345\217\211\346\240\221\347\232\204\345\217\263\350\247\206\345\233\276.md" deleted file mode 100644 index 1321510..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/199.\344\272\214\345\217\211\346\240\221\347\232\204\345\217\263\350\247\206\345\233\276.md" +++ /dev/null @@ -1,27 +0,0 @@ -## [199.二叉树的右视图](https://leetcode.cn/problems/binary-tree-right-side-view/) medium - -- 层序遍历时,每层的最后一个节点就是右视图的节点 -- 为了提高效率,从右向左层序遍历,每层第一个节点就是右视图的节点 - -```js -/** - * @param {TreeNode} root - * @return {number[]} - */ -var rightSideView = function (root) { - const res = []; - if (root === null) return res; - const q = [root]; - - while (q.length) { - const rightView = q[0]; - for (let i = 0, len = q.length; i < len; i++) { - let curNode = q.shift(); - curNode.right && q.push(curNode.right); - curNode.left && q.push(curNode.left); - } - res.push(rightView.val); - } - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/222.\345\256\214\345\205\250\344\272\214\345\217\211\346\240\221\347\232\204\350\212\202\347\202\271\344\270\252\346\225\260.md" "b/example/\344\272\214\345\217\211\346\240\221/222.\345\256\214\345\205\250\344\272\214\345\217\211\346\240\221\347\232\204\350\212\202\347\202\271\344\270\252\346\225\260.md" deleted file mode 100644 index 4d72466..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/222.\345\256\214\345\205\250\344\272\214\345\217\211\346\240\221\347\232\204\350\212\202\347\202\271\344\270\252\346\225\260.md" +++ /dev/null @@ -1,40 +0,0 @@ -## [222.完全二叉树的节点个数](https://leetcode.cn/problems/count-complete-tree-nodes/) medium - -时间复杂度 O(logN * logN) -空间复杂度 O(logN) - -- 思路 -- 最初是遍历所有的树,在遍历过程中计算 -- 然后完全二叉树在每次增加节点的时候,另一边会出现满二叉树的子树 -- 然后利用这个特性,去计算满二叉树的节点,另一半子树用普通递归遍历计算即可 - -```js -// 利用完全二叉树的节点是 2^树高度 - 1 -// 时间复杂度O(logN*logN) -// 每次都有一个hl===hr的情况,必有一边的时间复杂度是LogN -// 另一边while循环的时间复杂度是LogN -/** - * @param {TreeNode} root - * @return {number} - */ -var countNodes = function (root) { - if (root === null) return 0; - let l = root, - r = root; - let hr = 0, - hl = 0; - while (l !== null) { - l = l.left; - hl++; - } - while (r !== null) { - r = r.right; - hr++; - } - if (hl === hr) { - return Math.pow(2, hl) - 1; - } else { - return 1 + countNodes(root.left) + countNodes(root.right); - } -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/226.\347\277\273\350\275\254\344\272\214\345\217\211\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/226.\347\277\273\350\275\254\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index 6f2a4e9..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/226.\347\277\273\350\275\254\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,42 +0,0 @@ -## [226.翻转二叉树](https://leetcode.cn/problems/invert-binary-tree/) easy - -时间复杂度 O(N) -空间复杂度 O(H) h是树的高度,最坏情况下是O(N) - -- 思路 -- 我们发现只要把二叉树上的每一个节点的左右子节点进行交换,最后的结果就是完全翻转之后的二叉树 - -```js -/** - * @param {TreeNode} root - * @return {TreeNode} - */ -var invertTree = function (root) { - const traverse = (root) => { - if (root === null) return; - // 交换当前树的左右子树 - let temp = root.left; - root.left = root.right; - root.right = temp; - - traverse(root.left); - traverse(root.right); - }; - traverse(root); - return root; -}; -``` - -分解问题方式 - -```js -var invertTree = function (root) { - if (root === null) return null; - let left = invertTree1(root.left); - let right = invertTree1(root.right); - // 交换树 - root.left = right; - root.right = left; - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/230.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\254\254k\345\260\217\347\232\204\345\205\203\347\264\240.md" "b/example/\344\272\214\345\217\211\346\240\221/230.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\254\254k\345\260\217\347\232\204\345\205\203\347\264\240.md" deleted file mode 100644 index 8254c92..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/230.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\254\254k\345\260\217\347\232\204\345\205\203\347\264\240.md" +++ /dev/null @@ -1,37 +0,0 @@ -## [230.二叉搜索树中第k小的元素](https://leetcode.cn/problems/kth-smallest-element-in-a-bst/) medium - -时间复杂度 O(N) -空间复杂度 O(logN) - -- 思路 -- 利用BST中序遍历的结构是升序的这一特性 -- 在中序遍历的位置,也就是第k次循环就是第k大的元素 -- 所以记录第几次循环,到目标k次的时候,返回对应值,结束循环即可 - -```js -/** - * @param {TreeNode} root - * @param {number} k - * @return {number} - */ -// 利用二叉搜索树中序遍历有序的特性 -var kthSmallest = function (root, k) { - // const res = []; - let kVal, - n = 0; - const traverse = (root) => { - if (root === null) return; - traverse(root.left); - // res.push(root.val); - n++; - if (n === k) { - kVal = root.val; - return; - } - traverse(root.right); - }; - traverse(root); - // return res[k - 1]; - return kVal; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/235.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" "b/example/\344\272\214\345\217\211\346\240\221/235.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" deleted file mode 100644 index 975c8f2..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/235.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" +++ /dev/null @@ -1,45 +0,0 @@ -## [235. 二叉搜索树的最近公共祖先](https://leetcode.cn/problems/lowest-common-ancestor-of-a-binary-search-tree/) medium - -时间复杂度 O(N) -空间复杂度 O(N) 递归:函数调用堆栈 - -- 思路 -- 运用二叉搜索树,`左小 右大`的特性 -- 如果 p,q 都小于 root,说明 lca 在左子树 -- 如果 p,q 都大于 root,说明 lca 在右子树 -- 如果 p <= root,q >= root,说明 root 就是 lca - -```js -/** - * @param {TreeNode} root - * @param {TreeNode} p - * @param {TreeNode} q - * @return {TreeNode} - */ -var lowestCommonAncestor = function (root, p, q) { - // 如果p,q 都小于root,说明lca在左子树 - // 如果p,q 都大于root,说明lca在右子树 - // 如果p <= root,q >= root,说明root就是lca - if (root === null) return null; - - // 1. 保证 p < q - if (p.val > q.val) { - return lowestCommonAncestor(root, q, p); - } - - // 2.说明root就是lca - if (p.val <= root.val && q.val >= root.val) { - return root; - } - - if (q.val < root.val) { - // 说明lca在左子树 - return lowestCommonAncestor(root.left, p, q); - } - - if (p.val > root.val) { - // 说明lca在右子树 - return lowestCommonAncestor(root.right, p, q); - } -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/236.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" "b/example/\344\272\214\345\217\211\346\240\221/236.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" deleted file mode 100644 index e6e83fc..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/236.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" +++ /dev/null @@ -1,45 +0,0 @@ -## [236. 二叉树的最近公共祖先](https://leetcode.cn/problems/lowest-common-ancestor-of-a-binary-tree/) medium - -时间复杂度 O(N) N 为二叉树节点个数,最坏情况下, 要遍历所有节点 -空间复杂度 O(N) 最坏情况下递归深度为 N - -- 思路 -- 首先明确 base,当递归到 底部节点,返回`null` -- 定义递归函数,返回一个树中 找到的 `p或q节点` (在前序位置找) -- 分情况讨论 -- 三种情况(在后序位置判断) - - 情况 1: p 和 q 分别在不同的子树中,left 和 right 都有值,说明 root 就是 ans - - 情况 2:p 和 q 在树中没有被找到,说明没有公共祖先,返回 null - - 情况 3:p 和 q 在同一颗树下,那么这个时候 left 和 right 肯定有一侧是找不到,返回 null 的,那么返回另一侧最先找到的节点即可 - - 情况 2 也可以省略不写,这种情况包含在情况 3 的三元判断中了 - -推荐题解:https://leetcode.cn/problems/lowest-common-ancestor-of-a-binary-tree/solution/236-er-cha-shu-de-zui-jin-gong-gong-zu-xian-hou-xu/ - -```js -/** - * @param {TreeNode} root - * @param {TreeNode} p - * @param {TreeNode} q - * @return {TreeNode} - */ -var lowestCommonAncestor = function (root, p, q) { - // base case - if (root === null) return null; - // 前序遍历位置 - // 在向下递归的过程中(分叉),若发现p或q,那么就返回找到的节点 - if (root === q || root === p) return root; - const left = lowestCommonAncestor(root.left, p, q); - const right = lowestCommonAncestor(root.right, p, q); - - // 后序遍历 - // 1.发现left和right都有值,那么说明root是ans - if (left !== null && right !== null) return root; - - // 2.发现left和right都没有值,那么说明没有ans,返回null - // 包含在了最下面的元判断中,可以省略 - // if (left === null && right === null) return null; - - // 3.若只有一边有值,说明在同一边,返回另一边最近找到的作为ans - return left === null ? right : left; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/2562.\351\235\242\350\257\225\351\242\23004.06.\345\220\216\347\273\247\350\200\205.md" "b/example/\344\272\214\345\217\211\346\240\221/2562.\351\235\242\350\257\225\351\242\23004.06.\345\220\216\347\273\247\350\200\205.md" deleted file mode 100644 index d28a3d3..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/2562.\351\235\242\350\257\225\351\242\23004.06.\345\220\216\347\273\247\350\200\205.md" +++ /dev/null @@ -1,47 +0,0 @@ -## [2562.面试题 04.06. 后继者](https://leetcode.cn/problems/successor-lcci/) medium - -中序遍历 -时间复杂度O(N) -空间复杂度O(1) - -- 思路: -- 中序遍历BST -- 遍历过程中保留上一个节点prev和当前节点cur -- 若遍历过程中发现上一个节点prev,就是要找的节点p,那么当前节点cur就是该BST的后继 -- 若p是最后一个节点,那么需要返回null - -```js -/** - * Definition for a binary tree node. - * function TreeNode(val) { - * this.val = val; - * this.left = this.right = null; - * } - */ - -/** - * @param {TreeNode} root - * @param {TreeNode} p - * @return {TreeNode} - */ -var inorderSuccessor = function (root, p) { - let prev = null; - let cur = root; - let stack = []; - while (stack.length || cur) { - while (cur) { - stack.push(cur); - cur = cur.left; - } - - cur = stack.pop(); - if (prev === p) { - // 若prev是p,则返回cur - return cur; - } - prev = cur; - cur = cur.right; - } - return null; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/257.\344\272\214\345\217\211\346\240\221\347\232\204\346\211\200\346\234\211\350\267\257\345\276\204.md" "b/example/\344\272\214\345\217\211\346\240\221/257.\344\272\214\345\217\211\346\240\221\347\232\204\346\211\200\346\234\211\350\267\257\345\276\204.md" deleted file mode 100644 index 8605b2a..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/257.\344\272\214\345\217\211\346\240\221\347\232\204\346\211\200\346\234\211\350\267\257\345\276\204.md" +++ /dev/null @@ -1,26 +0,0 @@ -## [257.二叉树的所有路径](https://leetcode.cn/problems/binary-tree-paths/) easy - - -```js -/** - * @param {TreeNode} root - * @return {string[]} - */ -var binaryTreePaths = function (root) { - let path = []; - let res = []; - const traverse = (root) => { - if (root === null) return; - - path.push(root.val); - if (root.left === null && root.right === null) { - res.push(path.join("->")); - } - root.left && traverse(root.left); - root.right && traverse(root.right); - path.pop(); - }; - traverse(root); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/297.\344\272\214\345\217\211\346\240\221\347\232\204\345\272\217\345\210\227\345\214\226\344\270\216\345\217\215\345\272\217\345\210\227\345\214\226.md" "b/example/\344\272\214\345\217\211\346\240\221/297.\344\272\214\345\217\211\346\240\221\347\232\204\345\272\217\345\210\227\345\214\226\344\270\216\345\217\215\345\272\217\345\210\227\345\214\226.md" deleted file mode 100644 index 65eaa3d..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/297.\344\272\214\345\217\211\346\240\221\347\232\204\345\272\217\345\210\227\345\214\226\344\270\216\345\217\215\345\272\217\345\210\227\345\214\226.md" +++ /dev/null @@ -1,71 +0,0 @@ -## [297.二叉树的序列化与反序列化](https://leetcode.cn/problems/serialize-and-deserialize-binary-tree/) hard - -时间复杂度 O(2N) -空间复杂度 O(N + logN) - -- 思路 -- 先将tree打平成字符串 -- 然后根据字符串,构建左子树和右子树,进行还原 -- 注意点,这里使用前序遍历,其实中序和后序遍历也可以,不过在还原的时候,前序遍历更容易获取root节点。 - -```js -/** - * Definition for a binary tree node. - * function TreeNode(val) { - * this.val = val; - * this.left = this.right = null; - * } - */ - -/** - * Encodes a tree to a single string. - * - * @param {TreeNode} root - * @return {string} - */ -var serialize = function (root) { - let res = []; - const traverse = (root) => { - if (root === null) return res.push("Null"); - res.push(root.val); - traverse(root.left); - traverse(root.right); - }; - traverse(root); - return res.toString(); -}; - -/** - * Decodes your encoded data to tree. - * - * @param {string} data - * @return {TreeNode} - */ -var deserialize = function (data) { - const nodes = data.split(","); - let p = 0; - const deTraverse = (nodes) => { - // if (nodes[0] === "Null") { - // nodes.shift(); - if (nodes[p] === "Null") { - p++; - return null; - } - // const root = new TreeNode(parseInt(nodes[0])); - // nodes.shift(); - const root = new TreeNode(parseInt(nodes[p])); - p++; - - root.left = deTraverse(nodes); - root.right = deTraverse(nodes); - return root; - }; - - return deTraverse(nodes); -}; - -/** - * Your functions will be called as such: - * deserialize(serialize(root)); - */ -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/331.\351\252\214\350\257\201\344\272\214\345\217\211\346\240\221\347\232\204\345\211\215\345\272\217\345\272\217\345\210\227\345\214\226.md" "b/example/\344\272\214\345\217\211\346\240\221/331.\351\252\214\350\257\201\344\272\214\345\217\211\346\240\221\347\232\204\345\211\215\345\272\217\345\272\217\345\210\227\345\214\226.md" deleted file mode 100644 index 49bc0f8..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/331.\351\252\214\350\257\201\344\272\214\345\217\211\346\240\221\347\232\204\345\211\215\345\272\217\345\272\217\345\210\227\345\214\226.md" +++ /dev/null @@ -1,52 +0,0 @@ -## [331.验证二叉树的前序序列化](https://leetcode.cn/problems/verify-preorder-serialization-of-a-binary-tree/) medium - -根据节点与边的关系 - -- 思路 -- 空节点消耗一条边 -- 非空节点消耗一条边,生成两条边 -- 最后判断是否有空闲边 -- 注意:初始化边应该为1 - -```js -/** - * @param {string} preorder - * @return {boolean} - */ -var isValidSerialization = function (preorder) { - let edge = 1; // 一条指向根节点的虚拟边 - for (const i of preorder.split(",")) { - if (i === "#") { - edge--; // 空节点消耗一条边 - if (edge < 0) return false; - } else { - edge--; // 节点消耗一条边 - if (edge < 0) return false; - edge += 2; // 生成两条边 - } - } - return edge === 0; // 最后不应该有空闲边 -}; -``` - -- 反序列化解法 - -```js -var isValidSerialization = function (preorder) { - const nodes = []; - for (const i of preorder.split(",")) { - nodes.push(i); - } - // 参考https://leetcode.cn/submissions/detail/252764742/ 反序列化过程 - const traverse = (nodes) => { - if (nodes.length === 0) return false; - // 前序遍历位置 - let firstNode = nodes.shift(); - if (firstNode === "#") return true; - // 前序遍历位置结束 - return traverse(nodes) && traverse(nodes); - }; - // nodes.length === 0保证遍历全部 - return traverse(nodes) && nodes.length === 0; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/404.\345\267\246\345\217\266\345\255\220\344\271\213\345\222\214.md" "b/example/\344\272\214\345\217\211\346\240\221/404.\345\267\246\345\217\266\345\255\220\344\271\213\345\222\214.md" deleted file mode 100644 index 4c38444..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/404.\345\267\246\345\217\266\345\255\220\344\271\213\345\222\214.md" +++ /dev/null @@ -1,28 +0,0 @@ -## [404.左叶子之和](https://leetcode.cn/problems/sum-of-left-leaves/) easy - -- 遍历二叉树 -- 遍历过程中找到左叶子,累加即可 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var sumOfLeftLeaves = function (root) { - let sum = 0; - const traverse = (root) => { - if (root === null) return; - if ( - root.left !== null && - root.left.left === null && - root.left.right === null - ) { - sum += root.left.val; - } - traverse(root.left); - traverse(root.right); - }; - traverse(root); - return sum; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/449.\345\272\217\345\210\227\345\214\226\345\222\214\345\217\215\345\272\217\345\210\227\345\214\226\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/449.\345\272\217\345\210\227\345\214\226\345\222\214\345\217\215\345\272\217\345\210\227\345\214\226\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" deleted file mode 100644 index c9525c1..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/449.\345\272\217\345\210\227\345\214\226\345\222\214\345\217\215\345\272\217\345\210\227\345\214\226\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" +++ /dev/null @@ -1,49 +0,0 @@ -## [449.序列化和反序列化二叉搜索树](https://leetcode.cn/problems/serialize-and-deserialize-bst/) medium - - -```js -/** - * Encodes a tree to a single string. - * - * @param {TreeNode} root - * @return {string} - */ -var serialize = function (root) { - let tree = []; - const traverseTree = (root) => { - if (root === null) return; - tree.push(root.val); - traverseTree(root.left); - traverseTree(root.right); - }; - traverseTree(root); - return tree.toString(); -}; - -/** - * Decodes your encoded data to tree. - * - * @param {string} data - * @return {TreeNode} - */ -var deserialize = function (data) { - if (data.length === 0) return null; - const nodes = data.split(","); - const deserializeTree = (nodes, min, max) => { - if (nodes.length === 0) return null; - let rootVal = parseInt(nodes[0]); - if (rootVal < min || rootVal > max) return null; - nodes.shift(); - const root = new TreeNode(rootVal); - root.left = deserializeTree(nodes, min, rootVal); - root.right = deserializeTree(nodes, rootVal, max); - return root; - }; - return deserializeTree(nodes, -Infinity, Infinity); -}; - -/** - * Your functions will be called as such: - * deserialize(serialize(root)); - */ -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/450.\345\210\240\351\231\244\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\350\212\202\347\202\271.md" "b/example/\344\272\214\345\217\211\346\240\221/450.\345\210\240\351\231\244\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\350\212\202\347\202\271.md" deleted file mode 100644 index 41efef8..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/450.\345\210\240\351\231\244\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\350\212\202\347\202\271.md" +++ /dev/null @@ -1,48 +0,0 @@ -## [450.删除二叉搜索树中的节点](https://leetcode.cn/problems/delete-node-in-a-bst/) medium - -时间复杂度 O(N) -空间复杂度 O(logN) - -- 思路 -- 先找到需要删除的节点 -- 然后分情况判断应该如何删除当前节点 -- 1. 当前节点是一个叶子节点(没有左右子树),直接删除当前节点即可,也就是返回null -- 2. 当前节点只有一个子树(左或右 子树),直接删除当前节点,将仅有的子树代替当前节点的位置即可 -- 3. 当前节点两个子树都存在,可以获取右子树中的最小值(最左边的值),替换当前节点的位置,并删除 右子树的最小值 - -```js -/** - * @param {TreeNode} root - * @param {number} key - * @return {TreeNode} - */ -var deleteNode = function (root, key) { - if (root === null) return null; - if (root.val === key) { - // 1.root为叶子节点 - if (root.left === null && root.right === null) return null; - // 2.root只有一个叶子节点 - if (root.left === null && root.right !== null) return root.right; - if (root.right === null && root.left !== null) return root.left; - // 3.root有两个叶子节点 - // 此时要找左子树中最大节点(右子树最小节点)来替换当前节点 - // if(root.right !== null && root.left !== null) {} - let minNode = getMin(root.right); - root.val = minNode.val; // 替换当前节点的val - // 删除右子树中的最小节点 - root.right = deleteNode(root.right, minNode.val); - } else if (root.val < key) { - root.right = deleteNode(root.right, key); - } else if (root.val > key) { - root.left = deleteNode(root.left, key); - } - return root; -}; - -const getMin = (root) => { - while (root.left !== null) { - root = root.left; - } - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/501.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\344\274\227\346\225\260.md" "b/example/\344\272\214\345\217\211\346\240\221/501.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\344\274\227\346\225\260.md" deleted file mode 100644 index e66c85f..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/501.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\344\274\227\346\225\260.md" +++ /dev/null @@ -1,35 +0,0 @@ -## [501.二叉搜索树中的众数](https://leetcode.cn/problems/find-mode-in-binary-search-tree/) easy - -时间复杂度O(N) -空间复杂度O(N) - -- 思路 -- 遍历二叉树,统计各个数字出现的次数(中序遍历是有序的,可以放在中序遍历位置统计) -- 然后找出最大的出现次数 -- 最后遍历map,将出现次数最大的key,放进res中返回 - -```js -/** - * @param {TreeNode} root - * @return {number[]} - */ -var findMode = function (root) { - const map = new Map(); - const traverse = (root) => { - if (root === null) return; - - traverse(root.left); - let v = root.val; - map.set(v, map.has(v) ? map.get(v) + 1 : 1); - traverse(root.right); - }; - traverse(root); - - let max = Math.max(...map.values()); - let res = []; - for (let [k, v] of map) { - if (v === max) res.push(k); - } - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/508.\345\207\272\347\216\260\346\254\241\346\225\260\346\234\200\345\244\232\347\232\204\345\255\220\346\240\221\345\205\203\347\264\240\345\222\214.md" "b/example/\344\272\214\345\217\211\346\240\221/508.\345\207\272\347\216\260\346\254\241\346\225\260\346\234\200\345\244\232\347\232\204\345\255\220\346\240\221\345\205\203\347\264\240\345\222\214.md" deleted file mode 100644 index c132c20..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/508.\345\207\272\347\216\260\346\254\241\346\225\260\346\234\200\345\244\232\347\232\204\345\255\220\346\240\221\345\205\203\347\264\240\345\222\214.md" +++ /dev/null @@ -1,33 +0,0 @@ -## [508.出现次数最多的子树元素和](https://leetcode.cn/problems/most-frequent-subtree-sum/) medium - -思路跟501题类似 -- 统计子树的元素和 出现的次数,存在map中 -- 需要统计和,在后序遍历更方便统计 -- 然后找出最大出现次数maxCount -- 最后根基maxCount,找出对应的value,存入数组并返回 - -```js -/** - * @param {TreeNode} root - * @return {number[]} - */ -var findFrequentTreeSum = function (root) { - const map = new Map(); - const traverse = (root) => { - if (root === null) return 0; - const leftSum = traverse(root.left); - const rightSum = traverse(root.right); - const sum = leftSum + rightSum + root.val; - map.set(sum, map.has(sum) ? map.get(sum) + 1 : 1); - return sum; - }; - traverse(root); - - let res = []; - const max = Math.max(...map.values()); - for (const [k, v] of map) { - if (v === max) res.push(k); - } - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/513.\346\211\276\346\240\221\345\267\246\344\270\213\350\247\222\347\232\204\345\200\274.md" "b/example/\344\272\214\345\217\211\346\240\221/513.\346\211\276\346\240\221\345\267\246\344\270\213\350\247\222\347\232\204\345\200\274.md" deleted file mode 100644 index 23c3aae..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/513.\346\211\276\346\240\221\345\267\246\344\270\213\350\247\222\347\232\204\345\200\274.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [513.找树左下角的值](https://leetcode.cn/problems/find-bottom-left-tree-value/) medium - -- 有点像二叉树的最大深度那一道题 -- 当第一次到达最大深度时候,那颗树就是左下角的树 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var findBottomLeftValue = function (root) { - let res = 0; - let level = 0, - maxLevel = 0; - - const traverse = (root) => { - if (root === null) return; - level++; - if (level > maxLevel) { - maxLevel = level; - res = root.val; - } - traverse(root.left); - traverse(root.right); - level--; - }; - traverse(root); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/515.\345\234\250\346\257\217\344\270\252\346\240\221\350\241\214\344\270\255\346\211\276\346\234\200\345\244\247\345\200\274.md" "b/example/\344\272\214\345\217\211\346\240\221/515.\345\234\250\346\257\217\344\270\252\346\240\221\350\241\214\344\270\255\346\211\276\346\234\200\345\244\247\345\200\274.md" deleted file mode 100644 index 3509fcc..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/515.\345\234\250\346\257\217\344\270\252\346\240\221\350\241\214\344\270\255\346\211\276\346\234\200\345\244\247\345\200\274.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [515.在每个树行中找最大值](https://leetcode.cn/problems/find-largest-value-in-each-tree-row/) medium - -- 思路 -- 层序遍历 -- 遍历过程中,保留每层的值 -- 该层结束后,将该层最大的值,放入res中返回 - -```js -/** - * @param {TreeNode} root - * @return {number[]} - */ -var largestValues = function (root) { - let res = []; - if (root === null) return res; - const q = [root]; - - while (q.length) { - const level = []; - for (let i = 0, len = q.length; i < len; i++) { - const node = q.shift(); - level.push(node.val); - node.left && q.push(node.left); - node.right && q.push(node.right); - } - res.push(Math.max(...level)); - } - - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/530.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\346\234\200\345\260\217\347\273\235\345\257\271\345\267\256.md" "b/example/\344\272\214\345\217\211\346\240\221/530.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\346\234\200\345\260\217\347\273\235\345\257\271\345\267\256.md" deleted file mode 100644 index 20fea67..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/530.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\346\234\200\345\260\217\347\273\235\345\257\271\345\267\256.md" +++ /dev/null @@ -1,28 +0,0 @@ -## [530.二叉搜索树的最小绝对差](https://leetcode.cn/problems/minimum-absolute-difference-in-bst/) easy - -- 思路 -- 中序遍历是有序的 -- 在中序遍历过程中,计算最小的差 -- 需要保留上一个节点 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var getMinimumDifference = function (root) { - let min = Infinity; - let prev = null; - const traverse = (root) => { - if (root === null) return; - traverse(root.left); - if (prev !== null) { - min = Math.min(min, Math.abs(prev.val - root.val)); - } - prev = root; - traverse(root.right); - }; - traverse(root); - return min; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/538.\346\212\212\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\350\275\254\346\215\242\344\270\272\347\264\257\345\212\240\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/538.\346\212\212\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\350\275\254\346\215\242\344\270\272\347\264\257\345\212\240\346\240\221.md" deleted file mode 100644 index a4a000d..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/538.\346\212\212\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\350\275\254\346\215\242\344\270\272\347\264\257\345\212\240\346\240\221.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [538.把二叉搜索树转换为累加树](https://leetcode.cn/problems/convert-bst-to-greater-tree/) medium - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 第一眼看上去,需要将当前节点的右子树(和根)累加 -- 如果打平来看,就是将比当前节点大的值进行累加 -- 普通的中序遍历是升序的,不能直接拿到比当前节点大的值 -- 所以先将结果成为倒叙的,先遍历root.right -- 然后累加前面访问的结果,再将累加结果赋值给当前root,即可 - -```js -/** - * @param {TreeNode} root - * @return {TreeNode} - */ -// 从右向左中序遍历,将累计赋值到节点的值 -var convertBST = function (root) { - let sum = 0; - const traverse = (root) => { - if (root === null) return; - traverse(root.right); - sum += root.val; - root.val = sum; - traverse(root.left); - }; - traverse(root); - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/543.\344\272\214\345\217\211\346\240\221\347\232\204\347\233\264\345\276\204.md" "b/example/\344\272\214\345\217\211\346\240\221/543.\344\272\214\345\217\211\346\240\221\347\232\204\347\233\264\345\276\204.md" deleted file mode 100644 index 33f086e..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/543.\344\272\214\345\217\211\346\240\221\347\232\204\347\233\264\345\276\204.md" +++ /dev/null @@ -1,29 +0,0 @@ -## [543.二叉树的直径](https://leetcode.cn/problems/diameter-of-binary-tree/) easy - -时间复杂度 O(N) -空间复杂度 O(K) K为二叉树的高度 - -- 思路: -- 求直径,就是左右子树最大深度的和 -- 有子树问题,遍历一遍不能解决问题,给函数明确返回值,在后序遍历位置做文章 -- 分别求出左右子树的最大深度,在后序遍历位置,拿到左右子树 的最大深度后,比较最大的和即可 - -```js -var diameterOfBinaryTree = function (root) { - let diameterMax = 0; // 最大直径 - // 最大直径其实就是一个节点的左右子树最大深度的和 - // 定义maxDeep返回输入节点的最大深度 - const maxDeep = (root) => { - if (root === null) { - return 0; - } - let left = maxDeep(root.left); - let right = maxDeep(root.right); - diameterMax = Math.max(diameterMax, left + right); - return 1 + Math.max(left, right); - }; - - maxDeep(root); - return diameterMax; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/563.\344\272\214\345\217\211\346\240\221\347\232\204\345\235\241\345\272\246.md" "b/example/\344\272\214\345\217\211\346\240\221/563.\344\272\214\345\217\211\346\240\221\347\232\204\345\235\241\345\272\246.md" deleted file mode 100644 index 2d8128a..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/563.\344\272\214\345\217\211\346\240\221\347\232\204\345\235\241\345\272\246.md" +++ /dev/null @@ -1,22 +0,0 @@ -## [563.二叉树的坡度](https://leetcode.cn/problems/binary-tree-tilt/) easy - -后序遍历位置计算各个节点abs的和 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var findTilt = function (root) { - let sum = 0; - const traverse = (root) => { - if (root === null) return 0; - const leftAbs = traverse(root.left); - const rightAbs = traverse(root.right); - sum += Math.abs(leftAbs - rightAbs); - return leftAbs + rightAbs + root.val; - }; - traverse(root); - return sum; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/606.\346\240\271\346\215\256\344\272\214\345\217\211\346\240\221\345\210\233\345\273\272\345\255\227\347\254\246\344\270\262.md" "b/example/\344\272\214\345\217\211\346\240\221/606.\346\240\271\346\215\256\344\272\214\345\217\211\346\240\221\345\210\233\345\273\272\345\255\227\347\254\246\344\270\262.md" deleted file mode 100644 index 938559a..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/606.\346\240\271\346\215\256\344\272\214\345\217\211\346\240\221\345\210\233\345\273\272\345\255\227\347\254\246\344\270\262.md" +++ /dev/null @@ -1,23 +0,0 @@ -## [606.根据二叉树创建字符串](https://leetcode.cn/problems/construct-string-from-binary-tree/) easy - - -```js -/** - * @param {TreeNode} root - * @return {string} - */ -var tree2str = function (root) { - if (root === null) return ""; - if (root.left === null && root.right === null) return root.val + ""; - let leftStr = tree2str(root.left); - let rightStr = tree2str(root.right); - // 当左边有值,右边没值时 - if (root.left !== null && root.right === null) { - return `${root.val}(${leftStr})`; - } - if (root.left === null && root.right !== null) { - return `${root.val}()(${rightStr})`; - } - return `${root.val}(${leftStr})(${rightStr})`; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/617.\345\220\210\345\271\266\344\272\214\345\217\211\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/617.\345\220\210\345\271\266\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index 7c5c313..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/617.\345\220\210\345\271\266\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,21 +0,0 @@ -## [617.合并二叉树](https://leetcode.cn/problems/merge-two-binary-trees/) easy - - -```js -/** - * @param {TreeNode} root1 - * @param {TreeNode} root2 - * @return {TreeNode} - */ -var mergeTrees = function (root1, root2) { - const traverse = (root1, root2) => { - if (root1 === null) return root2; - if (root2 === null) return root1; - root1.val += root2.val; - root1.left = traverse(root1.left, root2.left); - root1.right = traverse(root1.right, root2.right); - return root1; - }; - return traverse(root1, root2); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/623.\345\234\250\344\272\214\345\217\211\346\240\221\344\270\255\345\242\236\345\212\240\344\270\200\350\241\214.md" "b/example/\344\272\214\345\217\211\346\240\221/623.\345\234\250\344\272\214\345\217\211\346\240\221\344\270\255\345\242\236\345\212\240\344\270\200\350\241\214.md" deleted file mode 100644 index 8e45db0..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/623.\345\234\250\344\272\214\345\217\211\346\240\221\344\270\255\345\242\236\345\212\240\344\270\200\350\241\214.md" +++ /dev/null @@ -1,37 +0,0 @@ -## [623.在二叉树中增加一行](https://leetcode.cn/problems/add-one-row-to-tree/) medium - -```js -/** - * @param {TreeNode} root - * @param {number} val - * @param {number} depth - * @return {TreeNode} - */ -var addOneRow = function (root, val, depth) { - if (depth === 1) { - let newTree = new TreeNode(val); - newTree.left = root; - return newTree; - } - - let curLevel = 0; - const traverse = (root) => { - if (root === null) return; - curLevel++; - if (curLevel === depth - 1) { - let leftTree = new TreeNode(val); - let rightTree = new TreeNode(val); - leftTree.left = root.left; - rightTree.right = root.right; - root.left = leftTree; - root.right = rightTree; - } - traverse(root.left); - traverse(root.right); - curLevel--; - }; - traverse(root); - - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/637.\344\272\214\345\217\211\346\240\221\347\232\204\345\261\202\345\271\263\345\235\207\345\200\274.md" "b/example/\344\272\214\345\217\211\346\240\221/637.\344\272\214\345\217\211\346\240\221\347\232\204\345\261\202\345\271\263\345\235\207\345\200\274.md" deleted file mode 100644 index 97bc3f0..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/637.\344\272\214\345\217\211\346\240\221\347\232\204\345\261\202\345\271\263\345\235\207\345\200\274.md" +++ /dev/null @@ -1,25 +0,0 @@ -## [637.二叉树的层平均值](https://leetcode.cn/problems/average-of-levels-in-binary-tree/) easy - -```js -/** - * @param {TreeNode} root - * @return {number[]} - */ -var averageOfLevels = function (root) { - const res = []; - if (root === null) return res; - const q = [root]; - while (q.length) { - const levelAve = []; - for (let i = 0, len = q.length; i < len; i++) { - const node = q.shift(); - levelAve.push(node.val); - node.left && q.push(node.left); - node.right && q.push(node.right); - } - let average = levelAve.reduce((a, b) => (a += b), 0) / levelAve.length; - res.push(average); - } - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/652.\345\257\273\346\211\276\351\207\215\345\244\215\347\232\204\345\255\220\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/652.\345\257\273\346\211\276\351\207\215\345\244\215\347\232\204\345\255\220\346\240\221.md" deleted file mode 100644 index 8033fd3..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/652.\345\257\273\346\211\276\351\207\215\345\244\215\347\232\204\345\255\220\346\240\221.md" +++ /dev/null @@ -1,38 +0,0 @@ -## [652.寻找重复的子树](https://leetcode.cn/problems/find-duplicate-subtrees/) medium - -时间复杂度 O(N) -空间复杂度 O(N + logN) - -- 思路 -- 以我为根的这棵二叉树(子树)长啥样? -- 以其他节点为根的子树都长啥样? -- 所以需要在后序遍历的位置,记录当前节点的树长啥样 -- 使用map记录当前节点的树出现的次数 -- 如果已经存在,就加入结果集中 - -```js -/** - * @param {TreeNode} root - * @return {TreeNode[]} - */ -var findDuplicateSubtrees = function (root) { - const map = new Map(); - const res = []; - - const traverse = (root) => { - if (root === null) return; - const leftVal = traverse(root.left); - const rightVal = traverse(root.right); - const subTree = leftVal + "," + rightVal + "," + root.val; - const count = map.get(subTree) || 0; - if (count === 1) { - res.push(root); - } - map.set(subTree, count + 1); - return subTree; - }; - - traverse(root); - return res; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/653.\344\270\244\346\225\260\344\271\213\345\222\214-iv-\350\276\223\345\205\245-bst.md" "b/example/\344\272\214\345\217\211\346\240\221/653.\344\270\244\346\225\260\344\271\213\345\222\214-iv-\350\276\223\345\205\245-bst.md" deleted file mode 100644 index a0c5dbc..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/653.\344\270\244\346\225\260\344\271\213\345\222\214-iv-\350\276\223\345\205\245-bst.md" +++ /dev/null @@ -1,26 +0,0 @@ -## [653.两数之和-iv-输入-bst](https://leetcode.cn/problems/two-sum-iv-input-is-a-bst/) easy - -```js -/** - * @param {TreeNode} root - * @param {number} k - * @return {boolean} - */ -var findTarget = function (root, k) { - let map = new Map(); - let isFound = false; - - const traverse = (root) => { - if (root === null) return; - if (map.has(k - root.val)) { - return (isFound = true); - } else { - map.set(root.val, "666xxx"); - } - traverse(root.left); - traverse(root.right); - }; - traverse(root); - return isFound; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/654.\346\234\200\345\244\247\344\272\214\345\217\211\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/654.\346\234\200\345\244\247\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index 863fdfb..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/654.\346\234\200\345\244\247\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,40 +0,0 @@ -## [654.最大二叉树](https://leetcode.cn/problems/maximum-binary-tree/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 其实题目定义已经把思路讲的很清楚了 -- 找出一定范围数组内的最大值做为根 -- 然后找出数组左侧范围内的最大值作为根的左子树,右侧同理 -- 不断缩小范围,递归的构造出左右子树 -- 注意base case ,然后返回最初的那个root即可 - - -```js -// 对数组分区,找数组的最大值,然后先构建根节点,再构建左右节点 -/** - * @param {number[]} nums - * @return {TreeNode} - */ -var constructMaximumBinaryTree = function (nums) { - return build(nums, 0, nums.length - 1); -}; - -const build = (nums, lo, hi) => { - if (lo > hi) return null; - let max = -Infinity, - index = 0; - for (let i = lo; i <= hi; i++) { - if (nums[i] > max) { - max = nums[i]; - index = i; - } - } - - const root = new TreeNode(max); - root.left = build(nums, lo, index - 1); - root.right = build(nums, index + 1, hi); - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/662.\344\272\214\345\217\211\346\240\221\346\234\200\345\244\247\345\256\275\345\272\246.md" "b/example/\344\272\214\345\217\211\346\240\221/662.\344\272\214\345\217\211\346\240\221\346\234\200\345\244\247\345\256\275\345\272\246.md" deleted file mode 100644 index a44ffcf..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/662.\344\272\214\345\217\211\346\240\221\346\234\200\345\244\247\345\256\275\345\272\246.md" +++ /dev/null @@ -1,38 +0,0 @@ -## [662.二叉树最大宽度](https://leetcode.cn/problems/maximum-width-of-binary-tree/) medium - -时间复杂度O(N) - -- 思路 -- 主要思路是给每个节点打上数字tag,标记每个节点的位置 -- 在前序遍历的位置,根据标记的位置,计算当层节点与右节点的差 -- 标记位置根据完全二叉树的特性,根结点是x,左节点是2x,右节点是2x+1 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -/** - * 根据完全二叉树特性,若根为x,左节点为2x,右节点为2x+1, - * 然后根据标记的节点,获取节点,判断当前层节点与,当前层左节点的最大宽度 - */ -var widthOfBinaryTree = function (root) { - if (root === null) return 0; - let leftArr = []; - let maxWidth = 1; - const traverse = (root, id, depth) => { - if (root === null) return; - if (leftArr.length === depth - 1) { - leftArr.push(id); - } else { - maxWidth = Math.max(maxWidth, id - leftArr[depth - 1] + 1); - } - // (id * 2) % 100000000007 取模,为了防止溢出 - traverse(root.left, (id * 2) % 100000000007, depth + 1); - traverse(root.right, ((id * 2) % 100000000007) + 1, depth + 1); - }; - traverse(root, 1, 1); - - return maxWidth; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/669.\344\277\256\345\211\252\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/669.\344\277\256\345\211\252\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" deleted file mode 100644 index 8c76cb7..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/669.\344\277\256\345\211\252\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" +++ /dev/null @@ -1,23 +0,0 @@ -## [669.修剪二叉搜索树](https://leetcode.cn/problems/trim-a-binary-search-tree/) medium - - -```js -/** - * @param {TreeNode} root - * @param {number} low - * @param {number} high - * @return {TreeNode} - */ -var trimBST = function (root, low, high) { - if (root === null) return null; - if (root.val < low) { - return trimBST(root.right, low, high); - } - if (root.val > high) { - return trimBST(root.left, low, high); - } - root.left = trimBST(root.left, low, high); - root.right = trimBST(root.right, low, high); - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/671.\344\272\214\345\217\211\346\240\221\344\270\255\347\254\254\344\272\214\345\260\217\347\232\204\350\212\202\347\202\271.md" "b/example/\344\272\214\345\217\211\346\240\221/671.\344\272\214\345\217\211\346\240\221\344\270\255\347\254\254\344\272\214\345\260\217\347\232\204\350\212\202\347\202\271.md" deleted file mode 100644 index 86b9620..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/671.\344\272\214\345\217\211\346\240\221\344\270\255\347\254\254\344\272\214\345\260\217\347\232\204\350\212\202\347\202\271.md" +++ /dev/null @@ -1,29 +0,0 @@ -## [671.二叉树中第二小的节点](https://leetcode.cn/problems/second-minimum-node-in-a-binary-tree/) easy - -- 思路 -- 根节点肯定第一小的元素 -- 若左右子树不想等,那么第二小的值在 顺着最小值的那颗树中 -- 若左右相等,要分别求出左右子树中第二小的值,然后比较,最小的那个值就是整颗树第二小的 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var findSecondMinimumValue = function (root) { - if (root.left === null && root.right === null) return -1; - let left = root.left.val, - right = root.right.val; - if (root.val === root.left.val) { - left = findSecondMinimumValue(root.left); - } - if (root.val === root.right.val) { - right = findSecondMinimumValue(root.right); - } - - if (left === -1) return right; - if (right === -1) return left; - - return Math.min(left, right); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/700.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\346\220\234\347\264\242.md" "b/example/\344\272\214\345\217\211\346\240\221/700.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\346\220\234\347\264\242.md" deleted file mode 100644 index fa8e49e..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/700.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\346\220\234\347\264\242.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [700.二叉搜索树中的搜索](https://leetcode.cn/problems/search-in-a-binary-search-tree/) easy - -时间复杂度 O(logN) -空间复杂度 O(1) - -- 思路 -- 最初想到的是,遍历整个BST,找到目标节点返回即可 -- 但是这样需要遍历整个树,时间复杂度为O(N) -- 为了降低时间复杂度,可以利用BST左小右大的特点 -- 根据每次寻找的值,来缩小搜索范围,降低时间复杂度 -- 其实以后遇到这种有序的结构体,都可以考虑用二分发做优化 - -```js -/** - * @param {TreeNode} root - * @param {number} val - * @return {TreeNode} - */ -// 利用左小右大的特性优化搜索 -var searchBST = function (root, val) { - if (root === null) return null; - if (root.val < val) { - return searchBST(root.right, val); - } - if (root.val > val) { - return searchBST(root.left, val); - } - - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/701.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\346\217\222\345\205\245\346\223\215\344\275\234.md" "b/example/\344\272\214\345\217\211\346\240\221/701.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\346\217\222\345\205\245\346\223\215\344\275\234.md" deleted file mode 100644 index d040734..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/701.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\255\347\232\204\346\217\222\345\205\245\346\223\215\344\275\234.md" +++ /dev/null @@ -1,32 +0,0 @@ -## [701.二叉搜索树中的插入操作](https://leetcode.cn/problems/insert-into-a-binary-search-tree/) medium - -时间复杂度 O(logN) -空间复杂度 O(logN) - -- 思路 -- 题目保证了,新值和原始二叉搜索树中的任意节点值都不同 -- 所以,只需要寻找合适的插入位置即可 -- 先在二分查找出val插入的合适位置,在空位子上插入新元素即可 - -```js -/** - * @param {TreeNode} root - * @param {number} val - * @return {TreeNode} - */ -var insertIntoBST = function (root, val) { - // 找到合适的插入位置了,插入即可 - if (root === null) return new TreeNode(val); - - // 说明val比root.val大,要插入的值在右边 - if (root.val < val) { - root.right = insertIntoBST(root.right, val); - } - - if (root.val > val) { - root.left = insertIntoBST(root.left, val); - } - - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/783.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\350\212\202\347\202\271\346\234\200\345\260\217\350\267\235\347\246\273.md" "b/example/\344\272\214\345\217\211\346\240\221/783.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\350\212\202\347\202\271\346\234\200\345\260\217\350\267\235\347\246\273.md" deleted file mode 100644 index 16b934c..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/783.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\350\212\202\347\202\271\346\234\200\345\260\217\350\267\235\347\246\273.md" +++ /dev/null @@ -1,26 +0,0 @@ -## [783.二叉搜索树节点最小距离](https://leetcode.cn/problems/minimum-distance-between-bst-nodes/) easy - - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var minDiffInBST = function (root) { - let min = Infinity; - let prev = null; - const traverse = (root) => { - if (root === null) return; - - traverse(root.left); - if (prev !== null) { - min = Math.min(min, Math.abs(prev.val - root.val)); - } - prev = root; - traverse(root.right); - }; - traverse(root); - - return min; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/814.\344\272\214\345\217\211\346\240\221\345\211\252\346\236\235.md" "b/example/\344\272\214\345\217\211\346\240\221/814.\344\272\214\345\217\211\346\240\221\345\211\252\346\236\235.md" deleted file mode 100644 index 7f55084..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/814.\344\272\214\345\217\211\346\240\221\345\211\252\346\236\235.md" +++ /dev/null @@ -1,19 +0,0 @@ -## [814.二叉树剪枝](https://leetcode.cn/problems/binary-tree-pruning/) medium - - -```js -/** - * @param {TreeNode} root - * @return {TreeNode} - */ -var pruneTree = function (root) { - if (root === null) return null; - root.left = pruneTree(root.left); - root.right = pruneTree(root.right); - if (root.val === 0 && root.left === null && root.right === null) { - // 返回null,相当于裁剪掉了这个节点 - return null; - } - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/865.\345\205\267\346\234\211\346\211\200\346\234\211\346\234\200\346\267\261\350\212\202\347\202\271\347\232\204\346\234\200\345\260\217\345\255\220\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/865.\345\205\267\346\234\211\346\211\200\346\234\211\346\234\200\346\267\261\350\212\202\347\202\271\347\232\204\346\234\200\345\260\217\345\255\220\346\240\221.md" deleted file mode 100644 index 4c8ca71..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/865.\345\205\267\346\234\211\346\211\200\346\234\211\346\234\200\346\267\261\350\212\202\347\202\271\347\232\204\346\234\200\345\260\217\345\255\220\346\240\221.md" +++ /dev/null @@ -1,33 +0,0 @@ -## [865.具有所有最深节点的最小子树](https://leetcode.cn/problems/smallest-subtree-with-all-the-deepest-nodes/) medium - -- 思路 -- 这道题需要用到分解问题 -- 这道题其实就是求 【最深】 的叶子节点的【最近公共祖先】 -- 求最深叶子节点的公共祖先需要知道哪些信息? -- 要知道左右子树的最大深度 -- 如果左右子树一样深,那么当前节点就是最近的公共祖先 -- 如果左右子树不一样深,那么最深的叶子结点的最近公共祖先就在左右子树中 - -```js -class Result { - constructor(node, depth) { - this.node = node; - this.depth = depth; - } -} -/** - * @param {TreeNode} root - * @return {TreeNode} - */ -var subtreeWithAllDeepest = function (root) { - const traverse = (root) => { - if (root === null) return new Result(null, 0); - const left = traverse(root.left); - const right = traverse(root.right); - if (left.depth > right.depth) return new Result(left.node, left.depth + 1); - if (left.depth < right.depth) return new Result(right.node, right.depth + 1); - return new Result(root, left.depth + 1); - }; - return traverse(root).node; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/872.\345\217\266\345\255\220\347\233\270\344\274\274\347\232\204\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/872.\345\217\266\345\255\220\347\233\270\344\274\274\347\232\204\346\240\221.md" deleted file mode 100644 index 6420d36..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/872.\345\217\266\345\255\220\347\233\270\344\274\274\347\232\204\346\240\221.md" +++ /dev/null @@ -1,32 +0,0 @@ -## [872.叶子相似的树](https://leetcode.cn/problems/leaf-similar-trees/) easy - -```js -/** - * @param {TreeNode} root1 - * @param {TreeNode} root2 - * @return {boolean} - */ -var leafSimilar = function (root1, root2) { - const nums1 = []; - const nums2 = []; - traverse(root1, nums1); - traverse(root2, nums2); - let res = true; - let len = nums1.length > nums2.length ? nums1.length : nums2.length; - for (let i = 0; i < len; i++) { - if (nums1[i] !== nums2[i]) { - return (res = false); - } - } - return res; - // 也可以使用字符串比较 - // return nums1.join("-") === nums2.join("-"); -}; - -const traverse = (root, nums) => { - if (root === null) return; - if (root.left === null && root.right === null) nums.push(root.val); - traverse(root.left, nums); - traverse(root.right, nums); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/889.\346\240\271\346\215\256\345\211\215\345\272\217\345\222\214\345\220\216\345\272\217\351\201\215\345\216\206\346\236\204\351\200\240\344\272\214\345\217\211\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/889.\346\240\271\346\215\256\345\211\215\345\272\217\345\222\214\345\220\216\345\272\217\351\201\215\345\216\206\346\236\204\351\200\240\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index 83ff466..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/889.\346\240\271\346\215\256\345\211\215\345\272\217\345\222\214\345\220\216\345\272\217\351\201\215\345\216\206\346\236\204\351\200\240\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,32 +0,0 @@ -## [889.根据前序和后序遍历构造二叉树](https://leetcode.cn/problems/construct-binary-tree-from-preorder-and-postorder-traversal/) medium - -```js -/** - * @param {number[]} preorder - * @param {number[]} postorder - * @return {TreeNode} - */ -// [ 1, 2, 4, 5, 3, 6, 7] ==> preorder -// ^ ^ ^ -// | | | -// 根 左---左结束 - -// [ 4, 5, 2, 6, 7, 3, 1] ==> postorder -// ^ ^ ^ -// | len | | -// 左结束---左 根 -var constructFromPrePost = function (preorder, postorder) { - const build = (preorder, preStr, preEnd, postorder, postStr, postEnd) => { - if (preStr > preEnd) return null;// 边界判断 - if (preStr === preEnd) return new TreeNode(preorder[preStr]); // [1] - // 根结点 - let root = new TreeNode(preorder[preStr]); - let leftIndex = postorder.indexOf(preorder[preStr + 1]); - let leftSize = leftIndex - postStr + 1; - root.left = build(preorder, preStr + 1, preStr + leftSize, postorder, postStr, leftIndex); - root.right = build(preorder, preStr + leftSize + 1, preEnd, postorder, leftIndex + 1, postEnd - 1); - return root; - } - return build(preorder, 0, preorder.length - 1, postorder, 0, preorder.length - 1); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/95.\344\270\215\345\220\214\347\232\204\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221-ii.md" "b/example/\344\272\214\345\217\211\346\240\221/95.\344\270\215\345\220\214\347\232\204\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221-ii.md" deleted file mode 100644 index 68c99aa..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/95.\344\270\215\345\220\214\347\232\204\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221-ii.md" +++ /dev/null @@ -1,46 +0,0 @@ -## [95.不同的二叉搜索树-ii](https://leetcode.cn/problems/unique-binary-search-trees-ii/) medium - -- 96题的基础上构建 -- 1.穷举所有root节点 -- 2.递归构建左右子树BST -- 3.将左右子树BST添加到root上 - -```js -/** - * @param {number} n - * @return {TreeNode[]} - */ -var generateTrees = function (n) { - if (n === 0) return []; - - // 定义build返回[lo,hi]区间内,所有BST的集合 - const build = (lo, hi) => { - let res = []; - // base case - if (lo > hi) { - res.push(null); - return res; - } - // 1.枚举可行的根节点 - for (let i = lo; i <= hi; i++) { - // 2. 获取所有可行的左右子树集合 - let leftTreeArr = build(lo, i - 1); - let rightTreeArr = build(i + 1, hi); - // 3.分别从左右子树中选一课树,拼接到根结点上 - // 这里相当于 96题中的 左右子树集合相乘 - for (const left of leftTreeArr) { - for (const right of rightTreeArr) { - let root = new TreeNode(i); - root.left = left; - root.right = right; - res.push(root); - } - } - } - - return res; - }; - - return build(1, n); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/96.\344\270\215\345\220\214\347\232\204\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/96.\344\270\215\345\220\214\347\232\204\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" deleted file mode 100644 index 26e195b..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/96.\344\270\215\345\220\214\347\232\204\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" +++ /dev/null @@ -1,39 +0,0 @@ -## [96.不同的二叉搜索树](https://leetcode.cn/problems/unique-binary-search-trees/) medium - -- 思路: -- 一个BST的数量,为根结点左右两边的数量的乘积 -- 所以让每个树都为一次根节点 -- 然后求出该根节点的BST数量 -- 累加每个根节点的BST数量 -- 最后使用备忘录优化时间复杂度 - -```js -/** - * @param {number} n - * @return {number} - */ -var numTrees = function (n) { - let memo = Array.from({ length: n + 1 }).map((_) => - Array.from({ length: n + 1 }).fill(0) - ); - - // 定义count返回[lo,hi]的BST数量 - const count = (lo, hi) => { - // base case lo>hi时,为null,也是一种BST,返回1 - if (lo > hi) return 1; - - if (memo[lo][hi] !== 0) return memo[lo][hi]; - - let res = 0; - for (let i = lo; i <= hi; i++) { - let left = count(lo, i - 1); - let right = count(i + 1, hi); - res += left * right; - } - memo[lo][hi] = res; - return res; - }; - - return count(1, n); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/98.\351\252\214\350\257\201\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" "b/example/\344\272\214\345\217\211\346\240\221/98.\351\252\214\350\257\201\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" deleted file mode 100644 index deef3a6..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/98.\351\252\214\350\257\201\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221.md" +++ /dev/null @@ -1,24 +0,0 @@ -## [98.验证二叉搜索树](https://leetcode.cn/problems/validate-binary-search-tree/) medium - -时间复杂度 O(N) -空间复杂度 O(lonN) 函数调用堆栈 -- 思路 -- 最初想法是判断左孩子比右孩子小,但是这样的话,没办法保证保证根节点比右孩子小,比左孩子大 这一问题 -- 所以将根结点也考虑进去,max.val > root.val > min.val -- 所以使用辅助函数,限定左子树的最大值是 root.val,右子树的最小值是 root.val - -```js -/** - * @param {TreeNode} root - * @return {boolean} - */ -var isValidBST = function (root) { - const isBST = (node, min, max) => { - if (node === null) return true; - if (min !== null && node.val <= min.val) return false; - if (max !== null && node.val >= max.val) return false; - return isBST(node.left, min, node) && isBST(node.right, node, max); - }; - return isBST(root, null, null); -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/\345\211\221\346\214\207Offer27.\344\272\214\345\217\211\346\240\221\347\232\204\351\225\234\345\203\217.md" "b/example/\344\272\214\345\217\211\346\240\221/\345\211\221\346\214\207Offer27.\344\272\214\345\217\211\346\240\221\347\232\204\351\225\234\345\203\217.md" deleted file mode 100644 index d475a6e..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/\345\211\221\346\214\207Offer27.\344\272\214\345\217\211\346\240\221\347\232\204\351\225\234\345\203\217.md" +++ /dev/null @@ -1,24 +0,0 @@ -## [剑指 Offer 27. 二叉树的镜像](https://leetcode.cn/problems/er-cha-shu-de-jing-xiang-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(H) h是树的高度,最坏情况下是O(N) -- 思路 -- 我们发现只要把二叉树上的每一个节点的左右子节点进行交换,最后的结果就是完全翻转之后的二叉树 -- 与[226题](/js-logs/binary-tree#226翻转二叉树)解法一样 - -```js -/** - * @param {TreeNode} root - * @return {TreeNode} - */ -// 定义函数:返回当前节点翻转过后的节点 -var mirrorTree = function (root) { - if (root === null) return null; - - let leftRoot = mirrorTree(root.left); - let rightRoot = mirrorTree(root.right); - root.left = rightRoot; - root.right = leftRoot; - return root; -}; -``` diff --git "a/example/\344\272\214\345\217\211\346\240\221/\345\211\221\346\214\207Offer55-I.\344\272\214\345\217\211\346\240\221\347\232\204\346\267\261\345\272\246.md" "b/example/\344\272\214\345\217\211\346\240\221/\345\211\221\346\214\207Offer55-I.\344\272\214\345\217\211\346\240\221\347\232\204\346\267\261\345\272\246.md" deleted file mode 100644 index 7c2d094..0000000 --- "a/example/\344\272\214\345\217\211\346\240\221/\345\211\221\346\214\207Offer55-I.\344\272\214\345\217\211\346\240\221\347\232\204\346\267\261\345\272\246.md" +++ /dev/null @@ -1,17 +0,0 @@ -## [剑指 Offer 55 - I. 二叉树的深度](https://leetcode.cn/problems/er-cha-shu-de-shen-du-lcof/) easy - -- 本题与主站 104 题相同 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -// 定义函数返回节点的最大深度 -var maxDepth = function (root) { - if (root === null) return 0; - let leftDepth = maxDepth(root.left); - let rightDepth = maxDepth(root.right); - return Math.max(leftDepth, rightDepth) + 1; -}; -``` diff --git "a/example/\344\275\215\350\277\220\347\256\227/136. \345\217\252\345\207\272\347\216\260\344\270\200\346\254\241\347\232\204\346\225\260\345\255\227.js" "b/example/\344\275\215\350\277\220\347\256\227/136. \345\217\252\345\207\272\347\216\260\344\270\200\346\254\241\347\232\204\346\225\260\345\255\227.js" deleted file mode 100644 index dc6f502..0000000 --- "a/example/\344\275\215\350\277\220\347\256\227/136. \345\217\252\345\207\272\347\216\260\344\270\200\346\254\241\347\232\204\346\225\260\345\255\227.js" +++ /dev/null @@ -1,15 +0,0 @@ -/** - * @param {number[]} nums - * @return {number} - */ -// - 思路 -// - a^a = 0 -// - a^0 = a -// - 所以全部异或一遍,剩下的就是那个出现一次的数字 -var singleNumber = function (nums) { - let n = 0; - for (let i = 0; i < nums.length; i++) { - n ^= nums[i]; - } - return n; -}; \ No newline at end of file diff --git "a/example/\344\275\215\350\277\220\347\256\227/190.\351\242\240\345\200\222\344\272\214\350\277\233\345\210\266\344\275\215.js" "b/example/\344\275\215\350\277\220\347\256\227/190.\351\242\240\345\200\222\344\272\214\350\277\233\345\210\266\344\275\215.js" deleted file mode 100644 index 858e079..0000000 --- "a/example/\344\275\215\350\277\220\347\256\227/190.\351\242\240\345\200\222\344\272\214\350\277\233\345\210\266\344\275\215.js" +++ /dev/null @@ -1,22 +0,0 @@ -/** - * @param {number} n - a positive integer - * @return {number} - a positive integer - */ -var reverseBits = function (n) { - let res = 0; // 0: '0' - // n一共长32,所以需要移动32次 - for (let i = 0; i < 32; i++) { - // res:'00'; - res <<= 1; // 相当于res*2 - // 如果n的右边第一位是1,移入res - // 如果是0不用管,res << 的时候会空出来0 - if (n & 1) { - res += 1; - } - // 4:'100' >> '10' - // 2:'10' >> '1' - n >>= 1; // 相当于 n/2 - } - - return res >>> 0; -}; \ No newline at end of file diff --git "a/example/\344\275\215\350\277\220\347\256\227/191.\344\275\215-1-\347\232\204\344\270\252\346\225\260.js" "b/example/\344\275\215\350\277\220\347\256\227/191.\344\275\215-1-\347\232\204\344\270\252\346\225\260.js" deleted file mode 100644 index fe5a9a2..0000000 --- "a/example/\344\275\215\350\277\220\347\256\227/191.\344\275\215-1-\347\232\204\344\270\252\346\225\260.js" +++ /dev/null @@ -1,23 +0,0 @@ -/* - * @lc app=leetcode.cn id=191 lang=javascript - * - * [191] 位1的个数 - */ - -// @lc code=start -/** - * @param {number} n - a positive integer - * @return {number} - */ -// n & (n-1) 消除数字 n 的二进制表示中的最后一个 1 -// 不断消除数字 n 中的 1,直到 n 变为 0。 -// ![](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202210251640239.png) -var hammingWeight = function (n) { - let res = 0; - while (n !== 0) { - n = n & (n - 1); - res++; - } - return res; -}; -// @lc code=end diff --git "a/example/\344\275\215\350\277\220\347\256\227/231. 2 \347\232\204\345\271\202.js" "b/example/\344\275\215\350\277\220\347\256\227/231. 2 \347\232\204\345\271\202.js" deleted file mode 100644 index c2adaba..0000000 --- "a/example/\344\275\215\350\277\220\347\256\227/231. 2 \347\232\204\345\271\202.js" +++ /dev/null @@ -1,9 +0,0 @@ -/** - * @param {number} n - * @return {boolean} - */ -// `n & (n-1)`可以消除二进制最后一个1,变成0 -var isPowerOfTwo = function (n) { - if (n <= 0) return false; - return (n & (n - 1)) === 0; -}; \ No newline at end of file diff --git "a/example/\344\275\215\350\277\220\347\256\227/268. \344\270\242\345\244\261\347\232\204\346\225\260\345\255\227.js" "b/example/\344\275\215\350\277\220\347\256\227/268. \344\270\242\345\244\261\347\232\204\346\225\260\345\255\227.js" deleted file mode 100644 index 4a5c3c5..0000000 --- "a/example/\344\275\215\350\277\220\347\256\227/268. \344\270\242\345\244\261\347\232\204\346\225\260\345\255\227.js" +++ /dev/null @@ -1,35 +0,0 @@ -/** - * @param {number[]} nums - * @return {number} - */ -// - 思路 -// - 因为异或满足交换律 -// - a ^ b ^ a = b ^ (a ^ a); -// - 所以可以将数组内的元素跟[0,n]异或一下 -// - 结果就是丢失的数字 -var missingNumber = function (nums) { - const n = nums.length; - let res = 0; - res ^= n; - for (let i = 0; i < n; i++) { - res ^= (nums[i] ^ i); - } - - return res; -}; - -/** - * @param {number[]} nums - * @return {number} - */ -// 两个等差数列 -// `sum(nums) - sum([0,n])`就是缺的那个元素 -var missingNumber1 = function (nums) { - let sumNums = 0; - let sum = 0; - for (let i = 0; i < nums.length; i++) { - sumNums += nums[i]; - sum += (i + 1); - } - return sum - sumNums; -}; diff --git "a/example/\344\275\215\350\277\220\347\256\227/389.\346\211\276\344\270\215\345\220\214.js" "b/example/\344\275\215\350\277\220\347\256\227/389.\346\211\276\344\270\215\345\220\214.js" deleted file mode 100644 index b8b1fc3..0000000 --- "a/example/\344\275\215\350\277\220\347\256\227/389.\346\211\276\344\270\215\345\220\214.js" +++ /dev/null @@ -1,18 +0,0 @@ -/** - * @param {string} s - * @param {string} t - * @return {character} - */ -// - 思路 -// - 根据异或的交换律和结合律 -// - a ^ b ^ a = b ^ (a ^ a) -// - 所以可以将字符做异或操作,最后的结果就是添加的字母 -// - 注意:由于js字符串不支持直接异或,所以要转成对应的unicode -var findTheDifference = function (s, t) { - let res = 0; - res ^= t[t.length - 1].charCodeAt(); - for (let i = 0; i < s.length; i++) { - res ^= s[i].charCodeAt() ^ t[i].charCodeAt(); - } - return String.fromCharCode(res); -}; \ No newline at end of file diff --git "a/example/\344\275\215\350\277\220\347\256\227/693.\344\272\244\346\233\277\344\275\215\344\272\214\350\277\233\345\210\266\346\225\260.js" "b/example/\344\275\215\350\277\220\347\256\227/693.\344\272\244\346\233\277\344\275\215\344\272\214\350\277\233\345\210\266\346\225\260.js" deleted file mode 100644 index 1a90bd5..0000000 --- "a/example/\344\275\215\350\277\220\347\256\227/693.\344\272\244\346\233\277\344\275\215\344\272\214\350\277\233\345\210\266\346\225\260.js" +++ /dev/null @@ -1,13 +0,0 @@ -/** - * @param {number} n - * @return {boolean} - */ -var hasAlternatingBits = function (n) { - // n:000010101 - // m:000001010 n>>1 - // a:000011111 - //a+1:000100000 - // &:000000000 - const a = n ^ (n >> 1); - return (a & (a + 1)) === 0; -}; \ No newline at end of file diff --git "a/example/\345\211\221\346\214\207Offer-II/\345\211\221\346\214\207OfferII001.\346\225\264\346\225\260\351\231\244\346\263\225.md" "b/example/\345\211\221\346\214\207Offer-II/\345\211\221\346\214\207OfferII001.\346\225\264\346\225\260\351\231\244\346\263\225.md" deleted file mode 100644 index 5f6862a..0000000 --- "a/example/\345\211\221\346\214\207Offer-II/\345\211\221\346\214\207OfferII001.\346\225\264\346\225\260\351\231\244\346\263\225.md" +++ /dev/null @@ -1,37 +0,0 @@ -## [001.整数除法](https://leetcode.cn/problems/xoh6Oh/) easy - -- 思路 -- [题解](https://leetcode.cn/problems/xoh6Oh/solution/wei-yun-suan-kuai-su-xiang-jian-fa-by-ch-fv8h/) - -```js -const MAX_VAL = Math.pow(2, 31) - 1, - MIN_VAL = -Math.pow(2, 31); -/** - * @param {number} a - * @param {number} b - * @return {number} - */ -var divide = function (a, b) { - if (b === 1) return a; - if (b === -1) return a === MIN_VAL ? MAX_VAL : -a; - if (a === 0) return 0; - - // 判断正负 - const flag = (a ^ b) >= 0; - a = a < 0 ? a : -a; - b = b < 0 ? b : -b; - - let res = 0; - while (a <= b) { - let base = 1; - let divisor = b; - while (a - divisor <= divisor) { - base <<= 1; - divisor <<= 1; - } - res += base; - a -= divisor; - } - return flag ? res : -res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer-II/\345\211\221\346\214\207OfferII002.\344\272\214\350\277\233\345\210\266\345\212\240\346\263\225.md" "b/example/\345\211\221\346\214\207Offer-II/\345\211\221\346\214\207OfferII002.\344\272\214\350\277\233\345\210\266\345\212\240\346\263\225.md" deleted file mode 100644 index b157f21..0000000 --- "a/example/\345\211\221\346\214\207Offer-II/\345\211\221\346\214\207OfferII002.\344\272\214\350\277\233\345\210\266\345\212\240\346\263\225.md" +++ /dev/null @@ -1,43 +0,0 @@ -## [002.二进制加法](https://leetcode.cn/problems/JFETK5/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路(模拟十进制加法) -- 这里「逢二进一」,低位对齐,开始计算 -- 进位用`carry`表示,那么个位置的答案其实是「carry + a[i] + b[i] % 2」 -- 每个位置计算完,carry 要计算出来`carry / 2`,也就是右移一位`carry >> 1` -- 最后计算完毕,若 carry 不为 0,说明最高位需要进位 1,在 res 结果中补 1 -- 最后反转结果,拼成字符串返回 - -```js -/** - * @param {string} a - * @param {string} b - * @return {string} - */ -// 模拟十进制加法 -var addBinary = function (a, b) { - let res = []; - let carry = 0; // 进位 - let m = a.length - 1, - n = b.length - 1; - while (m >= 0 || n >= 0) { - if (m >= 0) { - carry += Number(a[m]); - m--; - } - if (n >= 0) { - carry += Number(b[n]); - n--; - } - res.push((carry % 2) + ''); - carry = carry >> 1; - } - if (carry > 0) { - res.push('1'); - } - - return res.reverse().join(''); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer03.\346\225\260\347\273\204\344\270\255\351\207\215\345\244\215\347\232\204\346\225\260\345\255\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer03.\346\225\260\347\273\204\344\270\255\351\207\215\345\244\215\347\232\204\346\225\260\345\255\227.md" deleted file mode 100644 index 70f7adc..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer03.\346\225\260\347\273\204\344\270\255\351\207\215\345\244\215\347\232\204\346\225\260\345\255\227.md" +++ /dev/null @@ -1,28 +0,0 @@ -## [剑指 Offer 03. 数组中重复的数字](https://leetcode.cn/problems/shu-zu-zhong-zhong-fu-de-shu-zi-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 使用 set 内元素不重复的特点 -- 遍历整个数组,若元素已经存在与 set 内,返回即可 -- 若 set 内不存在,就进行添加操作 -- 跟[442.数组中重复的数据](/js-logs/array#442数组中重复的数据)思路类似 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var findRepeatNumber = function (nums) { - var set = new Set(); - for (var i = 0; i < nums.length; i++) { - var c = nums[i]; - if (set.has(c)) { - return c; - } else { - set.add(c); - } - } -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer04.\344\272\214\347\273\264\346\225\260\347\273\204\344\270\255\347\232\204\346\237\245\346\211\276.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer04.\344\272\214\347\273\264\346\225\260\347\273\204\344\270\255\347\232\204\346\237\245\346\211\276.md" deleted file mode 100644 index 3e0d244..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer04.\344\272\214\347\273\264\346\225\260\347\273\204\344\270\255\347\232\204\346\237\245\346\211\276.md" +++ /dev/null @@ -1,35 +0,0 @@ -## [剑指 Offer 04. 二维数组中的查找](https://leetcode.cn/problems/er-wei-shu-zu-zhong-de-cha-zhao-lcof/) medium - -- 从右上角开始遍历(也可以选择从左下角开始遍历) -- 从右上角出发,向(下⬇️)是(增大)的, 向(左⬅️)是(变小)的 -- [类似 240.搜索二维矩阵-ii](https://leetcode.cn/problems/search-a-2d-matrix-ii/) - -```js -/** - * @param {number[][]} matrix - * @param {number} target - * @return {boolean} - */ -var findNumberIn2DArray = function (matrix, target) { - if (matrix.length === 0) return false; - const m = matrix.length, - n = matrix[0].length; - - // 初始化i,j为右上角元素 - let i = 0, - j = n - 1; - while (i < m && j >= 0) { - if (matrix[i][j] === target) { - return true; - } else if (matrix[i][j] > target) { - // 需要小一点,j-- - j--; - } else if (matrix[i][j] < target) { - // 需要大一点,i++ - i++; - } - } - // 循环结束没找到,返回false - return false; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer05.\346\233\277\346\215\242\347\251\272\346\240\274.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer05.\346\233\277\346\215\242\347\251\272\346\240\274.md" deleted file mode 100644 index 4865558..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer05.\346\233\277\346\215\242\347\251\272\346\240\274.md" +++ /dev/null @@ -1,24 +0,0 @@ -## [剑指 Offer 05. 替换空格](https://leetcode.cn/problems/ti-huan-kong-ge-lcof/) easy - -- 思路 -- 由于字符串具有不可修改的特性 -- 所以先把字符串打散成数组,然后去修改空格键部分 -- 最后拼接返回即可 -- 或者直接使用 replaceAll 替换 - -```js -/** - * @param {string} s - * @return {string} - */ -var replaceSpace = function (s) { - // return s.replaceAll(' ', '%20'); - const res = s.split(''); - for (let i = 0; i < res.length; i++) { - if (res[i] === ' ') { - res[i] = '%20'; - } - } - return res.join(''); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer06.\344\273\216\345\260\276\345\210\260\345\244\264\346\211\223\345\215\260\351\223\276\350\241\250.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer06.\344\273\216\345\260\276\345\210\260\345\244\264\346\211\223\345\215\260\351\223\276\350\241\250.md" deleted file mode 100644 index 0ec81e8..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer06.\344\273\216\345\260\276\345\210\260\345\244\264\346\211\223\345\215\260\351\223\276\350\241\250.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [剑指 Offer 06. 从尾到头打印链表](https://leetcode.cn/problems/cong-wei-dao-tou-da-yin-lian-biao-lcof/) easy - -- 思路 -- 利用递归栈(先进后出)的特性进行反转结果 -- 也可以理解为深度优先遍历 - -```js -/** - * Definition for singly-linked list. - * function ListNode(val) { - * this.val = val; - * this.next = null; - * } - */ -/** - * @param {ListNode} head - * @return {number[]} - */ -var reversePrint = function (head) { - let res = []; - - const help = (node) => { - if (node === null) return; - node.next && help(node.next); - res.push(node.val); - }; - help(head); - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer07.\351\207\215\345\273\272\344\272\214\345\217\211\346\240\221.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer07.\351\207\215\345\273\272\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index da6d299..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer07.\351\207\215\345\273\272\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,48 +0,0 @@ -## [剑指 Offer 07. 重建二叉树](https://leetcode.cn/problems/zhong-jian-er-cha-shu-lcof/) medium - -跟[105.从前序与中序遍历序列构造二叉树](/js-logs/binary-tree#105从前序与中序遍历序列构造二叉树)相同 - -```js -/** - * Definition for a binary tree node. - * function TreeNode(val) { - * this.val = val; - * this.left = this.right = null; - * } - */ -/** - * @param {number[]} preorder - * @param {number[]} inorder - * @return {TreeNode} - */ -var buildTree = function (preorder, inorder) { - /** - preorder = [3, 9, 20, 15, 7] - ⬆ |l| | r | - 根 - - inorder = [9, 3, 15, 20, 7] - |l| ⬆ | r | - 根 - 定义: - 前序遍历数组为preorder[preStart,preEnd] - 中序遍历数组为inorder[inStart,inEnd] - 构造这个二叉树,并返回根节点 - */ - const build = (preStart, preEnd, inStart, inEnd) => { - if (preStart > preEnd) return null; - const rootVal = preorder[preStart]; // 前序遍历的第一个节点是根结点 - const index = inorder.indexOf(rootVal); // 在中序遍历中找到根节点的index,根节点左边是左子树,右边是右子树 - const leftSize = index - inStart; // 在中序遍历中 根节点 - 开始 = leftSize - - const root = new TreeNode(rootVal); - // 左子树,前序索引 (preStart + 1,preStart + leftSize) 中序索引(inStart,rootIndex -1) - root.left = build(preStart + 1, preStart + leftSize, inStart, index - 1); - // 右子树 前序(preStart + leftSize + 1, preEnd) 中序(rootIndex+1,inEnd) - root.right = build(preStart + leftSize + 1, preEnd, index + 1, inEnd); - return root; - }; - - return build(0, preorder.length - 1, 0, inorder.length - 1); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer09.\347\224\250\344\270\244\344\270\252\346\240\210\345\256\236\347\216\260\351\230\237\345\210\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer09.\347\224\250\344\270\244\344\270\252\346\240\210\345\256\236\347\216\260\351\230\237\345\210\227.md" deleted file mode 100644 index 8610db5..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer09.\347\224\250\344\270\244\344\270\252\346\240\210\345\256\236\347\216\260\351\230\237\345\210\227.md" +++ /dev/null @@ -1,46 +0,0 @@ -## [剑指 Offer 09. 用两个栈实现队列](https://leetcode.cn/problems/yong-liang-ge-zhan-shi-xian-dui-lie-lcof/) easy - -- 思路 -- 根据栈`先进后出`的特性,使用两个栈表示队列`先进先出`的特性 -- 此题目跟[232.用栈实现队列](/js-logs/stack#232用栈实现队列)相似 - -
- -
图解
-
- -```js -var CQueue = function () { - this.stack1 = []; // |== - this.stack2 = []; // |== -}; - -/** - * @param {number} value - * @return {void} - */ -CQueue.prototype.appendTail = function (value) { - this.stack1.push(value); -}; - -/** - * @return {number} - */ -CQueue.prototype.deleteHead = function () { - if (this.stack2.length === 0) { - while (this.stack1.length > 0) { - this.stack2.push(this.stack1.pop()); - } - } - - const res = this.stack2.pop(); - return res === undefined ? -1 : res; -}; - -/** - * Your CQueue object will be instantiated and called as such: - * var obj = new CQueue() - * obj.appendTail(value) - * var param_2 = obj.deleteHead() - */ -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer10-I.\346\226\220\346\263\242\351\202\243\345\245\221\346\225\260\345\210\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer10-I.\346\226\220\346\263\242\351\202\243\345\245\221\346\225\260\345\210\227.md" deleted file mode 100644 index 346aba2..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer10-I.\346\226\220\346\263\242\351\202\243\345\245\221\346\225\260\345\210\227.md" +++ /dev/null @@ -1,28 +0,0 @@ -## [剑指 Offer 10- I. 斐波那契数列](https://leetcode.cn/problems/fei-bo-na-qi-shu-lie-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(H) 树的高度,递归深度 - -- 思路(动态规划) -- 斐波那契数列的求解过程 可以看做是一个二叉树的结构 -- 动态转移方程`dp(n) = dp(n-1) + dp(n-2)` -- 添加备忘录进行剪枝优化 - -```js -/** - * @param {number} n - * @return {number} - */ -var fib = function (n) { - const memo = new Array(n + 1).fill(-1); - const dp = (n) => { - if (n === 0) return 0; - if (n === 1 || n === 2) return 1; - if (memo[n] !== -1) return memo[n]; - - memo[n] = (dp(n - 1) + dp(n - 2)) % 1000000007; - return memo[n]; - }; - return dp(n); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer11.\346\227\213\350\275\254\346\225\260\347\273\204\347\232\204\346\234\200\345\260\217\346\225\260\345\255\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer11.\346\227\213\350\275\254\346\225\260\347\273\204\347\232\204\346\234\200\345\260\217\346\225\260\345\255\227.md" deleted file mode 100644 index 9676466..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer11.\346\227\213\350\275\254\346\225\260\347\273\204\347\232\204\346\234\200\345\260\217\346\225\260\345\255\227.md" +++ /dev/null @@ -1,40 +0,0 @@ -## [剑指 Offer 11. 旋转数组的最小数字](https://leetcode.cn/problems/xuan-zhuan-shu-zu-de-zui-xiao-shu-zi-lcof/) easy - -- 类似题目[154.寻找旋转排序数组中的最小值 II](https://leetcode.cn/problems/find-minimum-in-rotated-sorted-array-ii/) -- [题解](https://leetcode.cn/problems/find-minimum-in-rotated-sorted-array-ii/solution/154-find-minimum-in-rotated-sorted-array-ii-by-jyd/) - -```js -// 二分法寻找最小值 -var findMin = function (nums) { - let n = nums.length; - if (n === 1) return nums[0]; - // 原:[0,1,2,2,2,2,3,4,5,6] - // 后:[2,3,4,5,6,0,1,2,2,2] - // [2,3,4,5,6,0,1,2,2,2] - // l m > r ==> l=m+1; - // [2,3,4,5,6,0,1,2,2,2] - // l m = r ==> r=r-1; - // [2,3,4,5,6,0,1,2,2,2] - // l m < r ==> r=m; - // [2,3,4,5,6,0,1,2,2,2] - // l - // m r = m; - // 最后l=r;停止寻找 - - let left = 0, right = n - 1; - while (left < right) { - // let mid = Math.floor((left + right) / 2); - let mid = left + right >> 1; - console.log(left, mid, right) - if (nums[mid] > nums[right]) { - left = mid + 1; - } else if (nums[mid] < nums[right]) { - right = mid; - } else if (nums[mid] === nums[right]) { - right = right - 1; - } - } - - return nums[right] -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer12.\347\237\251\351\230\265\344\270\255\347\232\204\350\267\257\345\276\204.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer12.\347\237\251\351\230\265\344\270\255\347\232\204\350\267\257\345\276\204.md" deleted file mode 100644 index c7e052d..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer12.\347\237\251\351\230\265\344\270\255\347\232\204\350\267\257\345\276\204.md" +++ /dev/null @@ -1,58 +0,0 @@ -## [剑指 Offer 12. 矩阵中的路径](https://leetcode.cn/problems/ju-zhen-zhong-de-lu-jing-lcof/) medium - -回溯 -跟[79.单词搜索](/js-logs/backtracking#79单词搜索)相同 - -```js -/** - * @param {character[][]} board - * @param {string} word - * @return {boolean} - */ -// 回溯 -var exist = function (board, word) { - const m = board.length, - n = board[0].length; - // false表示未访问,true表示访问过 - const visited = new Array(m).fill().map((_) => new Array(n).fill(false)); - const len = word.length; - - // 定义函数 - // 返回 [i,j]为起点能够找出 word[p..end] - const canFind = (i, j, p) => { - if (p === len) { - // p指针越界了,返回true - return true; - } - - // 越界直接返回false - if (i < 0 || i >= m || j < 0 || j >= n) return false; - // 访问过 或者不是要寻找的目标 也返回false - if (visited[i][j] || board[i][j] !== word[p]) return false; - - // 剩下的情况就是 board[i][j] === word[p] - - visited[i][j] = true; // 访问 - // 访问上下左右 - const canFindRes = - canFind(i, j + 1, p + 1) || - canFind(i, j - 1, p + 1) || - canFind(i + 1, j, p + 1) || - canFind(i - 1, j, p + 1); - - if (canFindRes) return true; // 如果能找到 返回true - - visited[i][j] = false; // 撤销访问 - return false; - }; - - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (board[i][j] === word[0] && canFind(i, j, 0)) { - return true; - } - } - } - return false; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer14-I.\345\211\252\347\273\263\345\255\220.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer14-I.\345\211\252\347\273\263\345\255\220.md" deleted file mode 100644 index 1f53955..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer14-I.\345\211\252\347\273\263\345\255\220.md" +++ /dev/null @@ -1,50 +0,0 @@ -## [剑指 Offer 14- I. 剪绳子](https://leetcode.cn/problems/jian-sheng-zi-lcof/) medium - -跟[343.整数拆分](/js-logs/dynamic-programming#343整数拆分)相同 - -```js -/** - * @param {number} n - * @return {number} - */ -var cuttingRope = function (n) { - // 定义dp[i]表示 i分解后 的最大乘积 - let dp = new Array(n + 1).fill(0); - dp[0] = dp[1] = 0; // 0和1不能被拆分 - for (let i = 2; i <= n; i++) { - let curMax = 0; - for (let j = 0; j < i; j++) { - curMax = Math.max(curMax, j * (i - j), j * dp[i - j]); - } - dp[i] = curMax; - } - - return dp[n]; -}; -``` - -自顶向下+备忘录 - -```js -/** - * @param {number} n - * @return {number} - */ -var cuttingRope = function (n) { - const memo = Array(n + 1).fill(-1); - // 返回拆解n后的最大乘积 - const dp = (n) => { - if (n === 0 || n === 1) return n; - if (memo[n] !== -1) return memo[n]; - - let res = -Infinity; - for (let i = 1; i < n; i++) { - res = Math.max(res, Math.max(i, dp(i)) * Math.max(n - i, dp(n - i))); - } - memo[n] = res; - return res; - }; - - return dp(n); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer14-II.\345\211\252\347\273\263\345\255\220II.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer14-II.\345\211\252\347\273\263\345\255\220II.md" deleted file mode 100644 index 90763b9..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer14-II.\345\211\252\347\273\263\345\255\220II.md" +++ /dev/null @@ -1,29 +0,0 @@ -## [剑指 Offer 14- II. 剪绳子 II](https://leetcode.cn/problems/jian-sheng-zi-ii-lcof/) medium - -跟[343.整数拆分](/js-logs/dynamic-programming#343整数拆分)相同 - -```js -/** - * @param {number} n - * @return {number} - */ -var cuttingRope = function (n) { - // 定义dp[i]表示 i分解后 的最大乘积 - let dp = new Array(n + 1).fill(0n); - dp[0] = dp[1] = 0n; // 0和1不能被拆分 - const MOD = 1000000007n; - for (let i = 2; i <= n; i++) { - let curMax = 0n; - for (let j = 0; j < i; j++) { - const subProblem1 = BigInt(j * (i - j)); - const subProblem2 = BigInt(j) * dp[i - j]; - const res = subProblem1 > subProblem2 ? subProblem1 : subProblem2; - curMax = curMax > res ? curMax : res; - } - - dp[i] = curMax; - } - - return dp[n] % MOD; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer15.\344\272\214\350\277\233\345\210\266\344\270\2551\347\232\204\344\270\252\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer15.\344\272\214\350\277\233\345\210\266\344\270\2551\347\232\204\344\270\252\346\225\260.md" deleted file mode 100644 index ea8fae8..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer15.\344\272\214\350\277\233\345\210\266\344\270\2551\347\232\204\344\270\252\346\225\260.md" +++ /dev/null @@ -1,26 +0,0 @@ -## [剑指 Offer 15. 二进制中1的个数](https://leetcode.cn/problems/er-jin-zhi-zhong-1de-ge-shu-lcof/) easy - -- 思路 -- n & (n-1) 消除数字 n 的二进制表示中的最后一个 1 -- 不断消除数字 n 中的 1,直到 n 变为 0。 -- 跟[191. 位-1-的个数](/js-logs/bit-manipulation#191位-1-的个数)相同 - -
- -
图解
-
- -```js -/** - * @param {number} n - a positive integer - * @return {number} - */ -var hammingWeight = function (n) { - let res = 0; - while (n !== 0) { - n = n & (n - 1); - res++; - } - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer16.\346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer16.\346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md" deleted file mode 100644 index 49bfb7d..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer16.\346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md" +++ /dev/null @@ -1,28 +0,0 @@ -## [剑指 Offer 16. 数值的整数次方](https://leetcode.cn/problems/shu-zhi-de-zheng-shu-ci-fang-lcof/) medium - -跟[50.Pow(x, n)](/js-logs/math#50pow-x-n)相同 - -```js -/** - * @param {number} x - * @param {number} n - * @return {number} - */ -var myPow = function (x, n) { - if (n === 0) return 1; - - // n是负数 - if (n < 0) { - return myPow(1 / x, -n); - } - - // n是奇数 - if (n % 2 === 1) { - return x * myPow(x, n - 1); - } else { - // n 是偶数 - const sub = myPow(x, n / 2); - return sub * sub; - } -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer17.\346\211\223\345\215\260\344\273\2161\345\210\260\346\234\200\345\244\247\347\232\204n\344\275\215\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer17.\346\211\223\345\215\260\344\273\2161\345\210\260\346\234\200\345\244\247\347\232\204n\344\275\215\346\225\260.md" deleted file mode 100644 index ce3fd46..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer17.\346\211\223\345\215\260\344\273\2161\345\210\260\346\234\200\345\244\247\347\232\204n\344\275\215\346\225\260.md" +++ /dev/null @@ -1,18 +0,0 @@ -## [剑指 Offer 17. 打印从1到最大的n位数](https://leetcode.cn/problems/da-yin-cong-1dao-zui-da-de-nwei-shu-lcof/) easy - - -```js -/** - * @param {number} n - * @return {number[]} - */ -var printNumbers = function (n) { - const res = []; - // 生成 n位9 如:n=3 ==> 999 - let end = new Array(n).fill("9").join(""); - for (let i = 1; i <= Number(end); i++) { - res.push(i); - } - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer18.\345\210\240\351\231\244\351\223\276\350\241\250\347\232\204\350\212\202\347\202\271.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer18.\345\210\240\351\231\244\351\223\276\350\241\250\347\232\204\350\212\202\347\202\271.md" deleted file mode 100644 index ca60bce..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer18.\345\210\240\351\231\244\351\223\276\350\241\250\347\232\204\350\212\202\347\202\271.md" +++ /dev/null @@ -1,53 +0,0 @@ -## [剑指 Offer 18. 删除链表的节点](https://leetcode.cn/problems/shan-chu-lian-biao-de-jie-dian-lcof/) easy - -时间复杂度O(N) -空间复杂度O(N) -- 创建一个新的链表,其中「不包含val」相当于把val删除,返回新的链表 - -```js -/** - * @param {ListNode} head - * @param {number} val - * @return {ListNode} - */ -var deleteNode = function (head, val) { - let newList = new ListNode(-1); - let q = newList; // q负责结果链表 - let p = head; // p 负责遍历原链表 - while (p) { - if (p.val !== val) { - q.next = new ListNode(p.val); // 创建新的节点 - q = q.next; - } - - p = p.next; - } - return newList.next; -}; -``` - -- 直接删除链表中的值 -- 使用pre和p遍历链表 -- 找到val时,使用`pre.next = pre.next.next`,跳过此val值,相当于在链表删除val - -```js -var deleteNode = function (head, val) { - let newList = new ListNode(-1); - newList.next = head; // 创建一个新的头节点,连接head - - let pre = newList; // 上一个节点 - let p = head; // 当前节点 - while (p) { - // 找到val - if (p.val === val) { - // 删除当前节点 - pre.next = pre.next.next; - } - - pre = p; // 保留上一个节点 - p = p.next; // 当前节点后移动 - } - - return newList.next; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer19.\346\255\243\345\210\231\350\241\250\350\276\276\345\274\217\345\214\271\351\205\215.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer19.\346\255\243\345\210\231\350\241\250\350\276\276\345\274\217\345\214\271\351\205\215.md" deleted file mode 100644 index 1b2c853..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer19.\346\255\243\345\210\231\350\241\250\350\276\276\345\274\217\345\214\271\351\205\215.md" +++ /dev/null @@ -1,72 +0,0 @@ -## [剑指 Offer 03. 数组中重复的数字](https://leetcode.cn/problems/zheng-ze-biao-da-shi-pi-pei-lcof/) hard - -- 跟[10.正则表达式匹配](/js-logs/dynamic-programming#10正则表达式匹配)相同 - -```js -/** - * @param {string} s - * @param {string} p - * @return {boolean} - */ -var isMatch = function (s, p) { - const m = s.length, - n = p.length; - const memo = new Map(); // 备忘录 - - // 含义:计算 p[j..] 是否匹配 s[i..] - const dp = (s, i, p, j) => { - // base case - // 1.当j走到尾部的时候,判断i是否也走到头 - if (j === n) return i === m; - - // 2.当i走到头 - if (i === m) { - // 2.1 如果能匹配上 x* 肯定是成对出现的,为下一步进行筛选 - if ((n - j) % 2 !== 0) return false; - // 2.2 检查是否为 x*y*z* 这种形式 - for (; j + 1 < n; j += 2) { - if (p[j + 1] !== '*') { - return false; - } - } - // 2.3 上面两种情况都不满足,那么说明剩下的p可以被匹配到 - return true; - } - - // 设置备忘录,消除重叠子问题 - const key = i + ' ' + j; - if (memo.has(key)) return memo.get(key); - - let res = false; - - // 1.s[i] === p[j],匹配「.」的时候 - if (s[i] === p[j] || p[j] === '.') { - // 1.1 匹配上「*」 - if (j + 1 < n && p[j + 1] === '*') { - // 「.*」 的情况下,「*」可能会匹配0次到多次 - res = - dp(s, i, p, j + 2) || // 0次 - dp(s, i + 1, p, j); // 多次 - } else { - // 「.」的情况下就 常规匹配1次 - res = dp(s, i + 1, p, j + 1); - } - } else { - // 2.s[i] !== p[j],不匹配「.」的时候 - if (j + 1 < n && p[j + 1] === '*') { - // 2.1「*」的情况下,匹配0次,然后看下一个字符是否匹配 - // eg: s = "aa", p = "b*aa" - res = dp(s, i, p, j + 2); - } else { - // s[i] !== p[j] 没有「.」 没有「*」 匹配就无法进行下去了 - res = false; - } - } - - memo.set(key, res); - return res; - }; - - return dp(s, 0, p, 0); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer20.\350\241\250\347\244\272\346\225\260\345\200\274\347\232\204\345\255\227\347\254\246\344\270\262.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer20.\350\241\250\347\244\272\346\225\260\345\200\274\347\232\204\345\255\227\347\254\246\344\270\262.md" deleted file mode 100644 index a771c7e..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer20.\350\241\250\347\244\272\346\225\260\345\200\274\347\232\204\345\255\227\347\254\246\344\270\262.md" +++ /dev/null @@ -1,51 +0,0 @@ -## [剑指 Offer 20. 表示数值的字符串](https://leetcode.cn/problems/biao-shi-shu-zhi-de-zi-fu-chuan-lcof/) medium - -时间复杂度 O(N) -空间复杂度 O(1) - -```js -/** - * @param {string} s - * @return {boolean} - */ -var isNumber = function (s) { - if (s == null || s.length == 0) return false; - - //去掉首位空格 - s = s.trim(); - - //是否出现数字 - let numFlag = false; - //是否出现小数点 - let dotFlag = false; - // 是否出现 e - let eFlag = false; - - for (let i = 0; i < s.length; i++) { - if (s[i] >= '0' && s[i] <= '9') { - //判定为数字,则标记 numFlag - numFlag = true; - } else if (s[i] == '.' && !dotFlag && !eFlag) { - //小数点只可以出现再 e 之前,且只能出现一次 .num、num.num、num. 都是被允许的 - dotFlag = true; - } else if ((s[i] == 'e' || s[i] == 'E') && !eFlag && numFlag) { - //判定为e,之前没出现过e,并且前面存在数字 - eFlag = true; - //避免e以后没有出现数字 - numFlag = false; - } else if ( - (s[i] == '+' || s[i] == '-') && - (i == 0 || s[i - 1] == 'e' || s[i - 1] == 'E') - ) { - //判定为+-符号,只能出现在第一位或者紧接e后面 - continue; - } else { - //其他情况,都是非法的 - return false; - } - } - - //是否出现了数字 - return numFlag; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer21.\350\260\203\346\225\264\346\225\260\347\273\204\351\241\272\345\272\217\344\275\277\345\245\207\346\225\260\344\275\215\344\272\216\345\201\266\346\225\260\345\211\215\351\235\242.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer21.\350\260\203\346\225\264\346\225\260\347\273\204\351\241\272\345\272\217\344\275\277\345\245\207\346\225\260\344\275\215\344\272\216\345\201\266\346\225\260\345\211\215\351\235\242.md" deleted file mode 100644 index 306604c..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer21.\350\260\203\346\225\264\346\225\260\347\273\204\351\241\272\345\272\217\344\275\277\345\245\207\346\225\260\344\275\215\344\272\216\345\201\266\346\225\260\345\211\215\351\235\242.md" +++ /dev/null @@ -1,52 +0,0 @@ -## [剑指 Offer 21. 调整数组顺序使奇数位于偶数前面](https://leetcode.cn/problems/diao-zheng-shu-zu-shun-xu-shi-qi-shu-wei-yu-ou-shu-qian-mian-lcof/) easy - -时间复杂度O(n) -空间复杂度O(1) -- 思路 -- 快慢指针维护`[0,slow)`为奇数 -- 当fast指针在前移过程中遇到奇数 -- 就交换给slow,然后slow前移 - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var exchange = function (nums) { - let fast = 0, slow = 0; - // 维护[0,slow)都是奇数 - while (fast < nums.length) { - if (nums[fast] % 2 === 1) { - const temp = nums[slow]; - nums[slow] = nums[fast]; - nums[fast] = temp; - slow++; - } - fast++; - } - return nums; -}; - -``` - -时间复杂度O(n) -空间复杂度O(n) -- 思路 -- 声明两个数组,一个放奇数,另一个放偶数 -- 然后循环判断num的奇偶,放入对应的数组 -- 最后将奇数和偶数进行前后拼接返回 - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var exchange = function (nums) { - const firstArr = []; - const lastArr = []; - for (let num of nums) { - num % 2 === 0 ? lastArr.push(num) : firstArr.push(num); - } - return firstArr.concat(lastArr); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer24.\345\217\215\350\275\254\351\223\276\350\241\250.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer24.\345\217\215\350\275\254\351\223\276\350\241\250.md" deleted file mode 100644 index 5945506..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer24.\345\217\215\350\275\254\351\223\276\350\241\250.md" +++ /dev/null @@ -1,27 +0,0 @@ -## [剑指 Offer 24. 反转链表](https://leetcode.cn/problems/fan-zhuan-lian-biao-lcof/) easy - -- 递归 -- 利用递归栈 -- 跟[206.反转链表](/js-logs/linked-list#206反转链表)相同 - -```js -/** - * @param {ListNode} head - * @return {ListNode} - */ -var reverseList = function (head) { - if (head === null || head.next === null) { - return head; - } - const last = reverseList(head.next); - // 4 --> 5 --> null 原来 - // 4 --> 5 - // 4 <-- 5 - head.next.next = head; - - // 4 -x-> 5 - // 4 <--- 5 - head.next = null; - return last; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer25.\345\220\210\345\271\266\344\270\244\344\270\252\346\216\222\345\272\217\347\232\204\351\223\276\350\241\250.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer25.\345\220\210\345\271\266\344\270\244\344\270\252\346\216\222\345\272\217\347\232\204\351\223\276\350\241\250.md" deleted file mode 100644 index 745d313..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer25.\345\220\210\345\271\266\344\270\244\344\270\252\346\216\222\345\272\217\347\232\204\351\223\276\350\241\250.md" +++ /dev/null @@ -1,42 +0,0 @@ -## [剑指 Offer 25. 合并两个排序的链表](https://leetcode.cn/problems/he-bing-liang-ge-pai-xu-de-lian-biao-lcof/) easy - -时间复杂度 O(M+N) -空间复杂度 O(1) - -思路 -- 两个链表值比较,取较小的值加入链表 -- 重复第一步,然后将另一个剩下的链表直接指向要返回的链表即可 -- 跟[21.合并两个有序链表](/js-logs/linked-list#21合并两个有序链表)相同 - -```js -/** - * @param {ListNode} l1 - * @param {ListNode} l2 - * @return {ListNode} - */ -var mergeTwoLists = function (l1, l2) { - let newList = new ListNode(-1); - let p = newList; - let p1 = l1, p2 = l2; - - while (p1 !== null && p2 !== null) { - if (p1.val < p2.val) { - p.next = p1; - p1 = p1.next; - } else { - p.next = p2; - p2 = p2.next; - } - p = p.next; - } - - if (p1 === null) { - p.next = p2; - } - if (p2 === null) { - p.next = p1; - } - - return newList.next; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer26.\346\240\221\347\232\204\345\255\220\347\273\223\346\236\204.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer26.\346\240\221\347\232\204\345\255\220\347\273\223\346\236\204.md" deleted file mode 100644 index d9b399b..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer26.\346\240\221\347\232\204\345\255\220\347\273\223\346\236\204.md" +++ /dev/null @@ -1,38 +0,0 @@ -## [剑指 Offer 26. 树的子结构](https://leetcode.cn/problems/shu-de-zi-jie-gou-lcof/) medium - -- 后序遍历 -- 如果A,B的val相等且 A,B也有相等子结构,那么就返回true -- `if (A.val === B.val && compareTree(A, B)) return true` -- compareTree(rootA,rootB)比较rootA中是否有子结构 可以匹配上rootB -- 重点可以放在compareTree函数是如何递归实现比较的 - -```js -/** - * @param {TreeNode} A - * @param {TreeNode} B - * @return {boolean} - */ -var isSubStructure = function (A, B) { - if (A === null || B === null) return false; - - // 对比rootA,rootB子结构是否可以匹配上 - const compareTree = (rootA, rootB) => { - // base case - // 当递归左右子树相比的时候,发现rootB已经走到null了,说明rootA,rootB子结构相同 - if (rootB === null) return true; - - // 当rootB不为null,但rootA已经是null,说明不是同样的子结构 - if (rootB !== null && rootA === null) return false; - if (rootA.val !== rootB.val) return false; - - // 走到这一步,说明 rootA.val === rootB.val,递归比较左子树和右子树是否相等 - return compareTree(rootA.left, rootB.left) && compareTree(rootA.right, rootB.right); - }; - - // 如果A,B的val相等且 A,B也有相等子结构,那么就返回true - if (A.val === B.val && compareTree(A, B)) return true; - - // 递归判断A.left || A.right,只要有一个是B的subTree,也可以返回true - return isSubStructure(A.left, B) || isSubStructure(A.right, B); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer28.\345\257\271\347\247\260\347\232\204\344\272\214\345\217\211\346\240\221.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer28.\345\257\271\347\247\260\347\232\204\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index 642dc87..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer28.\345\257\271\347\247\260\347\232\204\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [剑指 Offer 28. 对称的二叉树](https://leetcode.cn/problems/dui-cheng-de-er-cha-shu-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(H) 树的高度,递归深度 - -- 思路 -- 主要是比较子树是否对称 -- 深度优先过程中比较子树的对称性 -- 跟[101. 对称二叉树](/js-logs/binary-tree#101-对称二叉树)相同 -- 跟[100. 相同的树](/js-logs/binary-tree#100-相同的树)相似 - -```js -/** - * @param {TreeNode} root - * @return {boolean} - */ -var isSymmetric = function (root) { - if (root === null) return true; - // 检查子树是否对称 - const check = (leftRoot, rightRoot) => { - if (leftRoot === null || rightRoot === null) return leftRoot === rightRoot; - if (leftRoot.val !== rightRoot.val) return false; - - // 走到这里说明leftRoot.val === rightRoot.val,然后判断对称子树是否相等 - return check(leftRoot.right, rightRoot.left) && check(leftRoot.left, rightRoot.right); - } - - return check(root.left, root.right); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer30.\345\214\205\345\220\253min\345\207\275\346\225\260\347\232\204\346\240\210.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer30.\345\214\205\345\220\253min\345\207\275\346\225\260\347\232\204\346\240\210.md" deleted file mode 100644 index 653a990..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer30.\345\214\205\345\220\253min\345\207\275\346\225\260\347\232\204\346\240\210.md" +++ /dev/null @@ -1,60 +0,0 @@ -## [剑指 Offer 30. 包含 min 函数的栈](https://leetcode.cn/problems/bao-han-minhan-shu-de-zhan-lcof/) easy - -跟[115.最小栈](/js-logs/stack#115最小栈)相同 - -```js -/** - * initialize your data structure here. - */ -var MinStack = function () { - this.stack = []; - this.minStack = []; -}; - -/** - * @param {number} x - * @return {void} - */ -MinStack.prototype.push = function (x) { - this.stack.push(x); - if ( - this.minStack.length === 0 || - x <= this.minStack[this.minStack.length - 1] - ) { - this.minStack.push(x); - } else { - this.minStack.push(this.minStack[this.minStack.length - 1]); - } -}; - -/** - * @return {void} - */ -MinStack.prototype.pop = function () { - this.stack.pop(); - this.minStack.pop(); -}; - -/** - * @return {number} - */ -MinStack.prototype.top = function () { - return this.stack[this.stack.length - 1]; -}; - -/** - * @return {number} - */ -MinStack.prototype.min = function () { - return this.minStack[this.minStack.length - 1]; -}; - -/** - * Your MinStack object will be instantiated and called as such: - * var obj = new MinStack() - * obj.push(x) - * obj.pop() - * var param_3 = obj.top() - * var param_4 = obj.min() - */ -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer31.\346\240\210\347\232\204\345\216\213\345\205\245\345\274\271\345\207\272\345\272\217\345\210\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer31.\346\240\210\347\232\204\345\216\213\345\205\245\345\274\271\345\207\272\345\272\217\345\210\227.md" deleted file mode 100644 index a39559b..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer31.\346\240\210\347\232\204\345\216\213\345\205\245\345\274\271\345\207\272\345\272\217\345\210\227.md" +++ /dev/null @@ -1,29 +0,0 @@ -## [剑指 Offer 31. 栈的压入、弹出序列](https://leetcode.cn/problems/zhan-de-ya-ru-dan-chu-xu-lie-lcof/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路(模拟栈的出栈) -- 先声明一个 stack 进行入栈,每次入栈都对栈顶元素进行判断 -- 判断栈顶和 popped 元素是否相同,若找到了就进行出栈,同时 popped 对应的指针后移,指向第二个出栈元素与栈顶是否相等,若相等继续出栈,指针也后移 -- 最后判断,stack 是否为空,若全部一一对应上,说明 popped 的出栈顺序是正确的 -- 跟[946.验证栈序列](/js-logs/stack#946验证栈序列)相同 - -```js -/** - * @param {number[]} pushed - * @param {number[]} popped - * @return {boolean} - */ -var validateStackSequences = function (pushed, popped) { - const stack = []; - for (let i = 0, j = 0; i < pushed.length; i++) { - stack.push(pushed[i]); - while (stack.length && stack[stack.length - 1] === popped[j]) { - stack.pop(); - j++; - } - } - return stack.length === 0; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer32-I.\344\273\216\344\270\212\345\210\260\344\270\213\346\211\223\345\215\260\344\272\214\345\217\211\346\240\221.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer32-I.\344\273\216\344\270\212\345\210\260\344\270\213\346\211\223\345\215\260\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index dd0a438..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer32-I.\344\273\216\344\270\212\345\210\260\344\270\213\346\211\223\345\215\260\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,24 +0,0 @@ -## [剑指 Offer 32 - I. 从上到下打印二叉树](https://leetcode.cn/problems/cong-shang-dao-xia-da-yin-er-cha-shu-lcof/) medium - -层序遍历 - -```js -/** - * @param {TreeNode} root - * @return {number[]} - */ -var levelOrder = function (root) { - let res = []; - const q = []; - if (root !== null) { - q.push(root); - } - while (q.length) { - const current = q.shift(); - current.left && q.push(current.left); - current.right && q.push(current.right); - res.push(current.val); - } - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer32-II.\344\273\216\344\270\212\345\210\260\344\270\213\346\211\223\345\215\260\344\272\214\345\217\211\346\240\221II.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer32-II.\344\273\216\344\270\212\345\210\260\344\270\213\346\211\223\345\215\260\344\272\214\345\217\211\346\240\221II.md" deleted file mode 100644 index fd558a4..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer32-II.\344\273\216\344\270\212\345\210\260\344\270\213\346\211\223\345\215\260\344\272\214\345\217\211\346\240\221II.md" +++ /dev/null @@ -1,34 +0,0 @@ -## [剑指 Offer 32 - II. 从上到下打印二叉树 II](https://leetcode.cn/problems/cong-shang-dao-xia-da-yin-er-cha-shu-ii-lcof/) easy - -- 思路(层序遍历) -- 在每次while循环开始之前,找出当前层级的size -- 然后使用for循环把当前层级的val存放在level的数组中,中间遇到下一层的节点要放入队列中 -- 当for循环结束,表示当前层的值已经搜集到level中,push到res中即可 -- 跟[102 题](/js-logs/binary-tree#102二叉树的层序遍历)相同 - -```js -/** - * @param {TreeNode} root - * @return {number[][]} - */ -var levelOrder = function (root) { - const q = []; - if (root !== null) { - q.push(root); - } - const res = []; - while (q.length) { - const size = q.length; - let level = []; - for (let i = 0; i < size; i++) { - const current = q.shift(); - level.push(current.val); - current.left && q.push(current.left); - current.right && q.push(current.right); - } - res.push(level); - } - - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer32-III.\344\273\216\344\270\212\345\210\260\344\270\213\346\211\223\345\215\260\344\272\214\345\217\211\346\240\221III.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer32-III.\344\273\216\344\270\212\345\210\260\344\270\213\346\211\223\345\215\260\344\272\214\345\217\211\346\240\221III.md" deleted file mode 100644 index ea3251d..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer32-III.\344\273\216\344\270\212\345\210\260\344\270\213\346\211\223\345\215\260\344\272\214\345\217\211\346\240\221III.md" +++ /dev/null @@ -1,40 +0,0 @@ -## [剑指 Offer 32 - III.从上到下打印二叉树III](https://leetcode.cn/problems/cong-shang-dao-xia-da-yin-er-cha-shu-iii-lcof/) medium - -- 思路 -- 跟[剑指 Offer 32 - II. 从上到下打印二叉树 II](/js-logs/sword-point-offer#剑指-offer-32---ii-从上到下打印二叉树-ii)相似 -- 在层序遍历的基础上,改变推入level的顺序即可 -- 使用levelFlag变量,交替push和unshift的推入方式 - -```js -/** - * @param {TreeNode} root - * @return {number[][]} - */ -var levelOrder = function (root) { - const q = []; - if (root !== null) { - q.push(root); - } - - const res = []; - let levelFlag = true; - while (q.length) { - const size = q.length; - const level = []; - for (let i = 0; i < size; i++) { - const current = q.shift(); - if (levelFlag) { - level.push(current.val); - } else { - level.unshift(current.val); - } - current.left && q.push(current.left); - current.right && q.push(current.right); - } - levelFlag = !levelFlag; - res.push(level); - } - - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer33.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\345\220\216\345\272\217\351\201\215\345\216\206\345\272\217\345\210\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer33.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\345\220\216\345\272\217\351\201\215\345\216\206\345\272\217\345\210\227.md" deleted file mode 100644 index b065f0e..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer33.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\345\220\216\345\272\217\351\201\215\345\216\206\345\272\217\345\210\227.md" +++ /dev/null @@ -1,42 +0,0 @@ -## [剑指 Offer 33. 二叉搜索树的后序遍历序列](https://leetcode.cn/problems/er-cha-sou-suo-shu-de-hou-xu-bian-li-xu-lie-lcof/) medium - -时间复杂度 O(N^2): 每轮遍历只减去一个节点,递归占用 O(N),最坏情况下,二叉树退化为链表,每次减去一个节点,都需要遍历一遍树,时间复杂度 O(N) -空间复杂度 O(N) : 最坏情况下(链表)递归深度为 O(N) - -- 思路(递归分治) -- 根据 BST 后序遍历的特性去递归判断:例如`[1,3,2,6,5]` -- 5 是根节点[1..2]是左节点[6]是右节点 -- 根据特性区分左右子树,若左右子树也满足 BST 后序遍历的特性,那么就说明结果可靠 -- 递归分析 - - 终止条件,当 i>=j,说明只有一个节点了,不用判断正确性,返回 true - - 声明指针,寻找[i,j]中,第一个大于 j 的元素为 m,说明[i,m-1]是左子树,[m,j]是右子树 - - 然后判断左子树是否都小于根节点,右子树是否都大于根节点 - - 在区分左右子树的时候,其实已经判断了左子树都比根节点小了,只需要继续去判断右子树的有效性 - - 将指向 m 的指针 p 继续后移,判断条件是[m,j]的元素都是大于根节点,若确实如此,指针 p 最后会指向 j - - 判断 j===p,可以判断当前数组是否符合特性 - - 若符合特性,递归进去,判断左右子树是否「都满足」 - - `return j===p && f[i,m-1] && f[m,j-1]` - -```js -/** - * @param {number[]} postorder - * @return {boolean} - */ -var verifyPostorder = function (postorder) { - return traverse(postorder, 0, postorder.length - 1); -}; - -var traverse = function (postorder, i, j) { - // base case - if (i >= j) return true; - let p = i; - while (postorder[p] < postorder[j]) p++; - let m = p; // m用来区分左右子树[i,m-1] [m,j]; - while (postorder[p] > postorder[j]) p++; // 判断后面的元素,是否比根「j」大 - // 若p===j,说明是[i,j]满足后序遍历的特性 - // 继续判断左右子树是否满足特性 - return ( - p === j && traverse(postorder, i, m - 1) && traverse(postorder, m, j - 1) - ); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer34.\344\272\214\345\217\211\346\240\221\344\270\255\345\222\214\344\270\272\346\237\220\344\270\200\345\200\274\347\232\204\350\267\257\345\276\204.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer34.\344\272\214\345\217\211\346\240\221\344\270\255\345\222\214\344\270\272\346\237\220\344\270\200\345\200\274\347\232\204\350\267\257\345\276\204.md" deleted file mode 100644 index 9db6903..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer34.\344\272\214\345\217\211\346\240\221\344\270\255\345\222\214\344\270\272\346\237\220\344\270\200\345\200\274\347\232\204\350\267\257\345\276\204.md" +++ /dev/null @@ -1,44 +0,0 @@ -## [剑指 Offer 34. 二叉树中和为某一值的路径](https://leetcode.cn/problems/er-cha-shu-zhong-he-wei-mou-yi-zhi-de-lu-jing-lcof/) medium - -- 典型的回溯 -- 遍历一遍就出结果 -- 遍历过程中记录走过的路径,同时记录remain -- 当走到叶子节点时递归结束,这个时候判断remain是否为0,若为0说明是一条路径,将path添加到res中 -- 跟[113.路径总和-ii](/js-logs/binary-tree#113路径总和-ii)相同 - -```js -/** - * @param {TreeNode} root - * @param {number} target - * @return {number[][]} - */ -var pathSum = function (root, target) { - const res = []; - - const backTrack = (root, sum, track) => { - if (root === null) return; - const remain = sum - root.val; - // 当走到叶子结点 - if (root.left === null && root.right === null) { - // 判断remain是否为0,说明找到一条路径 - if (remain === 0) { - track.push(root.val); - res.push([...track]); - track.pop(); - } - return; - } - - track.push(root.val); - backTrack(root.left, remain, track); - track.pop(); - - track.push(root.val); - backTrack(root.right, remain, track); - track.pop(); - } - - backTrack(root, target, []); - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer35.\345\244\215\346\235\202\351\223\276\350\241\250\347\232\204\345\244\215\345\210\266.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer35.\345\244\215\346\235\202\351\223\276\350\241\250\347\232\204\345\244\215\345\210\266.md" deleted file mode 100644 index 952f926..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer35.\345\244\215\346\235\202\351\223\276\350\241\250\347\232\204\345\244\215\345\210\266.md" +++ /dev/null @@ -1,32 +0,0 @@ -## [剑指 Offer 35. 复杂链表的复制](https://leetcode.cn/problems/fu-za-lian-biao-de-fu-zhi-lcof/) medium - -时间复杂度 O(n) -空间复杂度 O(n) - -- 思路(回溯+map) -- 因为链表里有 random,所以不能使用遍历+创建新节点的方式进行拷贝 -- 我们用回溯递归的特性,在回溯返回的位置,单独对节点进行拷贝,并存储到 map 中 -- 若 map 中已经存有改节点的 copy 节点,直接返回即可,减少重复拷贝 - -```js -/** - * @param {Node} head - * @return {Node} - */ -var copyRandomList = function (head, map = new Map()) { - if (head === null) return null; - if (!map.has(head)) { - map.set(head, { - val: head.val, - // next: copyRandomList(head.next, map), - // random: copyRandomList(head.random, map) - }); - Object.assign(map.get(head), { - next: copyRandomList(head.next, map), - random: copyRandomList(head.random, map), - }); - } - - return map.get(head); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer36.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\216\345\217\214\345\220\221\351\223\276\350\241\250.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer36.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\216\345\217\214\345\220\221\351\223\276\350\241\250.md" deleted file mode 100644 index 757373c..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer36.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\344\270\216\345\217\214\345\220\221\351\223\276\350\241\250.md" +++ /dev/null @@ -1,59 +0,0 @@ -## [剑指 Offer 36. 二叉搜索树与双向链表](https://leetcode.cn/problems/er-cha-sou-suo-shu-yu-shuang-xiang-lian-biao-lcof/) medium - -时间复杂度O(N) N为节点个数 -空间复杂度O(N) N为递归栈的深度 - -
- -
图解
-
- -- 思路 -- 此题只允许原地修改,且结果有序,所以优先想到中序遍历的方法 -- 要购构造双向链表,就要对两个节点进行互相引用 -- 所以遍历过程中需要使用`pre`保存前一个节点,然后更改left和right,保持pre和当前节点互相引用 -- 结果需要双向链表的head和tail也相互引用,所以,遍历过程中要保存head节点 -- tail节点在遍历结束时,pre就是tail节点 -- 最后更改头尾节点的left和right,互相引用,返回head即可 -- 跟[426题](https://leetcode-cn.com/problems/convert-binary-search-tree-to-sorted-doubly-linked-list/)相似 - -```js -/** - * @param {Node} root - * @return {Node} - */ -var treeToDoublyList = function (root) { - if (root === null) return null; - let head = null, pre = null; - const dfs = (root) => { - if (root === null) return; - // --前序位置-- - dfs(root.left); - // --中序位置-- - if (pre === null) { - // 如果pre在中序遍历为null,说明,走到了最左边 - // 也就是走到了头 - head = root; - } else { - // 回退时 - // pre为1节点 - // root为2节点 - // 1.right 指向2 - // 2.left 指向1 - // 构建双向链表 - pre.right = root; - root.left = pre; - } - pre = root; - // --后序位置-- - dfs(root.right); - } - - dfs(root); - // 头尾互指,构成一个更大的双向脸部 - head.left = pre; - pre.right = head; - - return head; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer37.\345\272\217\345\210\227\345\214\226\344\272\214\345\217\211\346\240\221.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer37.\345\272\217\345\210\227\345\214\226\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index d8211fd..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer37.\345\272\217\345\210\227\345\214\226\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,61 +0,0 @@ -## [剑指 Offer 37. 序列化二叉树](https://leetcode.cn/problems/xu-lie-hua-er-cha-shu-lcof/) hard - -跟[297.二叉树的序列化与反序列化](/js-logs/binary-tree#297二叉树的序列化与反序列化)相同 - -```js -/** - * Definition for a binary tree node. - * function TreeNode(val) { - * this.val = val; - * this.left = this.right = null; - * } - */ - -/** - * Encodes a tree to a single string. - * - * @param {TreeNode} root - * @return {string} - */ -var serialize = function (root) { - const res = []; - const traverse = (node) => { - if (node === null) return res.push('Null'); - res.push(node.val); - traverse(node.left); - traverse(node.right); - }; - traverse(root); - return res.toString(); -}; - -/** - * Decodes your encoded data to tree. - * - * @param {string} data - * @return {TreeNode} - */ -var deserialize = function (data) { - const nodes = data.split(','); - - const deTraverse = (nodes) => { - if (nodes[0] === 'Null') { - nodes.shift(); - return null; - } - const rootVal = nodes.shift(); - const root = new TreeNode(rootVal); - - root.left = deTraverse(nodes); - root.right = deTraverse(nodes); - return root; - }; - - return deTraverse(nodes); -}; - -/** - * Your functions will be called as such: - * deserialize(serialize(root)); - */ -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer39.\346\225\260\347\273\204\344\270\255\345\207\272\347\216\260\346\254\241\346\225\260\350\266\205\350\277\207\344\270\200\345\215\212\347\232\204\346\225\260\345\255\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer39.\346\225\260\347\273\204\344\270\255\345\207\272\347\216\260\346\254\241\346\225\260\350\266\205\350\277\207\344\270\200\345\215\212\347\232\204\346\225\260\345\255\227.md" deleted file mode 100644 index ca01522..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer39.\346\225\260\347\273\204\344\270\255\345\207\272\347\216\260\346\254\241\346\225\260\350\266\205\350\277\207\344\270\200\345\215\212\347\232\204\346\225\260\345\255\227.md" +++ /dev/null @@ -1,19 +0,0 @@ -## [剑指 Offer 39. 数组中出现次数超过一半的数字](https://leetcode.cn/problems/shu-zu-zhong-chu-xian-ci-shu-chao-guo-yi-ban-de-shu-zi-lcof/solution/) easy - -时间复杂度 O(N\*logN) -空间复杂度 O(logN) - -- 思路 -- 排序后,取中间元素,无论数字长度是奇偶,都是超过一半的数字 -- 跟[169.多数元素](/js-logs/array#169多数元素)相同 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var majorityElement = function (nums) { - const sort = nums.sort((a, b) => a - b); - return sort[nums.length >> 1]; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer40.\346\234\200\345\260\217\347\232\204k\344\270\252\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer40.\346\234\200\345\260\217\347\232\204k\344\270\252\346\225\260.md" deleted file mode 100644 index 900e778..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer40.\346\234\200\345\260\217\347\232\204k\344\270\252\346\225\260.md" +++ /dev/null @@ -1,115 +0,0 @@ -## [剑指 Offer 40. 最小的k个数](https://leetcode.cn/problems/zui-xiao-de-kge-shu-lcof/) easy - -时间复杂度 O(N*logN) -空间复杂度 O(1) - -- 思路 -- 先对arr进行sort排序 -- 然后使用slice取前k个元素返回 - - -```js -/** - * @param {number[]} arr - * @param {number} k - * @return {number[]} - */ -var getLeastNumbers = function (arr, k) { - arr.sort((a, b) => a - b); - return arr.slice(0, k); -}; -``` - -- 使用最小堆进行排序 -- 然后从最小堆中弹出k个元素返回即可 - -```js -/** - * @param {number[]} arr - * @param {number} k - * @return {number[]} - */ -var getLeastNumbers = function (arr, k) { - const minHeap = new MinHeap(); - for (const item of arr) { - minHeap.insert(item); - } - let res = new Array(k); - for (let i = 0; i < k; i++) { - res[i] = minHeap.pop(); - } - return res; -}; - -// 构建最小堆 -class MinHeap { - constructor() { - this.heap = []; - } - - getParentIndex(index) { - // return Math.floor((index - 1) / 2); - return (index - 1) >> 1; - } - - getLeftIndex(index) { - return index * 2 + 1; - } - - getRightIndex(index) { - return this.getLeftIndex(index) + 1; - } - - swap(i, j) { - [this.heap[j], this.heap[i]] = [this.heap[i], this.heap[j]]; - } - - insert(val) { - this.heap.push(val); - this.shiftUp(this.heap.length - 1); - } - - shiftUp(index) { - if (index === 0) return; - const parentIndex = this.getParentIndex(index); - if (this.heap[index] < this.heap[parentIndex]) { - this.swap(index, parentIndex); - this.shiftUp(parentIndex); - } - } - - pop() { - let head = this.peek(); - const last = this.heap.pop(); - // 若heap只有一个元素,直接pop即可 - if (this.heap.length !== 0) { - // 若heap还有内容 - this.heap[0] = last; // 使用last元素直接替换掉heap[0]相当于删除 - this.shiftDown(0); - } - return head; - } - - shiftDown(index) { - const leftIndex = this.getLeftIndex(index); - const rightIndex = this.getRightIndex(index); - if (this.heap[index] > this.heap[leftIndex]) { - this.swap(index, leftIndex); - this.shiftDown(leftIndex); - } - - if (this.heap[index] > this.heap[rightIndex]) { - this.swap(index, rightIndex); - this.shiftDown(rightIndex); - } - } - - peek() { - return this.heap[0]; - } - - size() { - return this.heap.length; - } -} -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer41.\346\225\260\346\215\256\346\265\201\344\270\255\347\232\204\344\270\255\344\275\215\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer41.\346\225\260\346\215\256\346\265\201\344\270\255\347\232\204\344\270\255\344\275\215\346\225\260.md" deleted file mode 100644 index efcc6aa..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer41.\346\225\260\346\215\256\346\265\201\344\270\255\347\232\204\344\270\255\344\275\215\346\225\260.md" +++ /dev/null @@ -1,78 +0,0 @@ -## [剑指 Offer 41. 数据流中的中位数](https://leetcode.cn/problems/shu-ju-liu-zhong-de-zhong-wei-shu-lcof/) hard - -时间复杂度O(N\*logN) -空间复杂度O(1) - -- 思路 -- 使用优先级队列,构造小顶堆和大顶堆 -- 由于小顶堆(MinPriorityQueue)的顶是最小的元素,所以底部是较大的元素,命名为large -- 大顶堆(MaxPriorityQueue),顶部元素大,底部元素小,命名small -- 在addNum的时候,要`维护两个堆的size不超过1`,还要`维护large的堆定元素大于等于small的堆顶` -```js -MedianFinder.prototype.addNum = function (num) { - if (this.small.size() >= this.large.size()) { - this.small.enqueue(num); - this.large.enqueue(this.small.dequeue()?.element); - } else { - this.large.enqueue(num); - this.small.enqueue(this.large.dequeue()?.element); - } -}; -``` -- 简单的说,如果**要向large插入num,要先把num插入到small中,然后将small的堆顶元素插入large**,插入small时也一样 -- 这样可以保证两个堆定的元素差小于等于1 -- 最后根据奇偶性去返回中位数即可 -- 如果是奇数,就将长度多的那个堆的堆顶元素返回 -- 如果是偶数,说明两个堆的元素相等,返回两个堆顶元素的平均值即可 -- 跟[295. 数据流的中位数](/js-logs/heap#295-数据流的中位数)相同 - -```js -/** - * initialize your data structure here. - */ -var MedianFinder = function () { - // 优先级队列,leetcode内置了MaxPriorityQueue和MinPriorityQueue - // https://github.com/datastructures-js/priority-queue - this.large = new MinPriorityQueue(); // large解释:底部放大的,顶部是小的,说一使用小顶堆 - this.small = new MaxPriorityQueue();// small解释:底部放最小,顶部是大的,所以使用大顶堆 -}; - -/** - * @param {number} num - * @return {void} - */ -MedianFinder.prototype.addNum = function (num) { - if (this.small.size() >= this.large.size()) { - this.small.enqueue(num); - this.large.enqueue(this.small.dequeue()?.element); - } else { - this.large.enqueue(num); - this.small.enqueue(this.large.dequeue()?.element); - } -}; - -/** - * @return {number} - */ -MedianFinder.prototype.findMedian = function () { - const largeElement = this.large.front()?.element, - smallElement = this.small.front()?.element; - if (this.large.size() > this.small.size()) { - // 如果large的数量多,返回large的堆顶元素 - return largeElement; - } else if (this.large.size() < this.small.size()) { - // 如果small的数量多,返回small的堆顶元素 - return smallElement - } else { - // 如果是偶数,large和small的数量相等,各取堆顶元素,求平均值 - return (largeElement + smallElement) / 2.0 - } -}; - -/** - * Your MedianFinder object will be instantiated and called as such: - * var obj = new MedianFinder() - * obj.addNum(num) - * var param_2 = obj.findMedian() - */ -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer42.\350\277\236\347\273\255\345\255\220\346\225\260\347\273\204\347\232\204\346\234\200\345\244\247\345\222\214.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer42.\350\277\236\347\273\255\345\255\220\346\225\260\347\273\204\347\232\204\346\234\200\345\244\247\345\222\214.md" deleted file mode 100644 index e69b6eb..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer42.\350\277\236\347\273\255\345\255\220\346\225\260\347\273\204\347\232\204\346\234\200\345\244\247\345\222\214.md" +++ /dev/null @@ -1,37 +0,0 @@ -## [剑指 Offer 42. 连续子数组的最大和](https://leetcode.cn/problems/lian-xu-zi-shu-zu-de-zui-da-he-lcof/) easy - -时间复制度O(N) -空间复杂度O(N) - -- 思路(动态规划) -- 要求子数组的和的最大值 -- 要看当前值,是否要和前面的数组组合形成更大的数字 -- 或者自己成为一个单独的数组 -- dp数组,定义dp[i]表示nums[0..i]的最大和 -- 那么动态转移方程就是 -```js -dp[i] = max(dp[i - 1] + nums[i], nums[i]); -``` -- 跟[53.最大子数组和](/js-logs/dynamic-programming#53最大子数组和)相同 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var maxSubArray = function (nums) { - const n = nums.length; - // dp[i]表示nums[0..i]的最大和 - let dp = new Array(n).fill(0); - - // base case - dp[0] = nums[0]; - let max = nums[0]; - for (let i = 1; i < n; i++) { - dp[i] = Math.max(dp[i - 1] + nums[i], nums[i]); - max = Math.max(max, dp[i]); // 更新max - } - - return max; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer43.1\357\275\236n\346\225\264\346\225\260\344\270\2551\345\207\272\347\216\260\347\232\204\346\254\241\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer43.1\357\275\236n\346\225\264\346\225\260\344\270\2551\345\207\272\347\216\260\347\232\204\346\254\241\346\225\260.md" deleted file mode 100644 index 8503a82..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer43.1\357\275\236n\346\225\264\346\225\260\344\270\2551\345\207\272\347\216\260\347\232\204\346\254\241\346\225\260.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [剑指 Offer 43. 1 ~ n 整数中 1 出现的次数](https://leetcode.cn/problems/1nzheng-shu-zhong-1chu-xian-de-ci-shu-lcof/) hard - -[官方题解](https://leetcode.cn/problems/1nzheng-shu-zhong-1chu-xian-de-ci-shu-lcof/solution/1n-zheng-shu-zhong-1-chu-xian-de-ci-shu-umaj8/) - -
- -
公式
-
- -跟[233. 数字 1 的个数](/js-logs/math#233-数字-1-的个数)相同 - -```js -/** - * @param {number} n - * @return {number} - */ -var countDigitOne = function (n) { - let digit = 1; // 位因子 - let res = 0; - - for (let k = 0; digit <= n; k++) { - let forwardDigit = digit * 10; - res += - Math.floor(n / forwardDigit) * digit + - Math.min(Math.max((n % forwardDigit) - digit + 1, 0), digit); - digit *= 10; - } - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer44.\346\225\260\345\255\227\345\272\217\345\210\227\344\270\255\346\237\220\344\270\200\344\275\215\347\232\204\346\225\260\345\255\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer44.\346\225\260\345\255\227\345\272\217\345\210\227\344\270\255\346\237\220\344\270\200\344\275\215\347\232\204\346\225\260\345\255\227.md" deleted file mode 100644 index 70b396c..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer44.\346\225\260\345\255\227\345\272\217\345\210\227\344\270\255\346\237\220\344\270\200\344\275\215\347\232\204\346\225\260\345\255\227.md" +++ /dev/null @@ -1,37 +0,0 @@ -## [剑指 Offer 44. 数字序列中某一位的数字](https://leetcode.cn/problems/shu-zi-xu-lie-zhong-mou-yi-wei-de-shu-zi-lcof/) medium - -跟[264.丑数-ii](/js-logs/dynamic-programming#264丑数-ii)相同 - -```js -/** - * @param {number} n - * @return {number} - */ -// 先求出数字的长度 -// 规律 -// [1..9] = 9 * 1个数 => 9 * 1 * 1 => 9 * 10^0 * 1 -// [10..99] = 90 * 2个数 => 9 * 10 * 2 => 9 * 10^1 * 2 -// [100..999] = 900 * 3个数 => 9 * 100 * 3 => 9 * 10^2 * 3 -// [1000..9999] = 9000 * 4个数 => 9 * 1000 * 4 => 9 * 10^3 * 4 -var findNthDigit = function (n) { - let k = 1; // 表明当前是 几位数字: 9=>1, 99=>2 ... - let digit = 1; // 表示位因数: 9=>1,99=>10 .. - while (n - 9 * digit * k >= 0) { - n = n - 9 * digit * k; - k++; - digit *= 10; - } - - let target = Math.pow(10, k - 1) + Math.floor(n / k); // 第n位所在的数字 - let index = n % k; // 在target中的第几位 - - // index:0 说明【第n位的数字】位于target前一个数字的最后一位 - if (index === 0) { - let str = String(target - 1); - return Number(str[str.length - 1]); - } else { - let str = String(target); - return Number(str[index - 1]); - } -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer46.\346\212\212\346\225\260\345\255\227\347\277\273\350\257\221\346\210\220\345\255\227\347\254\246\344\270\262.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer46.\346\212\212\346\225\260\345\255\227\347\277\273\350\257\221\346\210\220\345\255\227\347\254\246\344\270\262.md" deleted file mode 100644 index 188cb73..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer46.\346\212\212\346\225\260\345\255\227\347\277\273\350\257\221\346\210\220\345\255\227\347\254\246\344\270\262.md" +++ /dev/null @@ -1,42 +0,0 @@ -## [剑指 Offer 46. 把数字翻译成字符串](https://leetcode.cn/problems/ba-shu-zi-fan-yi-cheng-zi-fu-chuan-lcof/) medium - -动态规划(自顶向下) -跟[91.解码方法](/js-logs/dynamic-programming#91解码方法)类似 -91题中 中 `0表示无效字符`,`1表示A`,这里`0表示a`,仅错了一位数字,思路是一样的 - -- 这其实是一道字符串类的动态规划题 -- 不难发现对于字符串 s 的某个位置 i 而言 -- 我们只关心「位置 i 自己能否形成独立 item 」和「位置 i 能够与前一位置(i-1)能否形成 item」 -- 而不关心 i-1 之前的位置 -- 动态转移方程: -- 若s[i]单独组成item:`dp[i] = dp[i-1]` 继承dp[i-1]的数量 -- 若s[i]与前一位置组成item: `dp[i] = dp[i-1] + dp[i-2]` - -```js -/** - * @param {number} num - * @return {number} - */ -var translateNum = function (num) { - const s = num.toString(); - const n = s.length; - if (n === 0) return 0; - // 定义dp[i] 表示以s[i-1]结尾的解码数量 - const dp = new Array(n + 1).fill(0); - // base case - dp[0] = 1; // s为空 - - dp[1] = 1; // 初始化第一个字符s[0]的数量 - for (let i = 2; i <= n; i++) { - const c = s[i - 1], d = s[i - 2];// s[1],s[0] - if ('0' <= c && c <= '9') { - dp[i] = dp[i - 1]; // 如果可以单独组成item,则继承dp[i-1]的数量 - } - if (d === '1' || d === '2' && c <= '5') { - dp[i] += dp[i - 2]; // 如果可以和前一位组合成item,则dp[i] = dp[i-1]+dp[i-2] - } - } - - return dp[n]; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer47.\347\244\274\347\211\251\347\232\204\346\234\200\345\244\247\344\273\267\345\200\274.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer47.\347\244\274\347\211\251\347\232\204\346\234\200\345\244\247\344\273\267\345\200\274.md" deleted file mode 100644 index f36f486..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer47.\347\244\274\347\211\251\347\232\204\346\234\200\345\244\247\344\273\267\345\200\274.md" +++ /dev/null @@ -1,60 +0,0 @@ -## [剑指 Offer 47. 礼物的最大价值](https://leetcode.cn/problems/li-wu-de-zui-da-jie-zhi-lcof/) medium - -动态规划(自顶向下) -跟[64.最小路径和](/js-logs/dynamic-programming#64最小路径和)相似 -不过这个是求最大,修改一下转移方程就行 - -```js -/** - * @param {number[][]} grid - * @return {number} - */ -var maxValue = function (grid) { - const m = grid.length; - const n = grid[0].length; - const memo = new Array(m).fill().map(_ => new Array(n).fill(-1)); - - // 返回[0,0] 到[i,j]的路径上的最大值 - const dp = (i, j) => { - // base case - if (i === 0 && j === 0) return grid[0][0]; - if (i < 0 || j < 0) return -Infinity; - - if (memo[i][j] !== -1) return memo[i][j]; - - return memo[i][j] = Math.max(dp(i - 1, j), dp(i, j - 1)) + grid[i][j]; - } - return dp(m - 1, n - 1); -}; -``` - -自底向上(dp数组,动规) - -```js -/** - * @param {number[][]} grid - * @return {number} - */ -var maxValue = function (grid) { - const m = grid.length, n = grid[0].length; - // dp[i][j]表示从[0,0]到[i,j]点 路径上的最大值 - const dp = new Array(m).fill().map(_ => new Array(n).fill(0)); - - // base case - dp[0][0] = grid[0][0]; - for (let i = 1; i < m; i++) { - dp[i][0] = dp[i - 1][0] + grid[i][0]; - } - for (let j = 1; j < n; j++) { - dp[0][j] = dp[0][j - 1] + grid[0][j]; - } - - for (let i = 1; i < m; i++) { - for (let j = 1; j < n; j++) { - dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]) + grid[i][j]; - } - } - - return dp[m - 1][n - 1]; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer48.\346\234\200\351\225\277\344\270\215\345\220\253\351\207\215\345\244\215\345\255\227\347\254\246\347\232\204\345\255\220\345\255\227\347\254\246\344\270\262.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer48.\346\234\200\351\225\277\344\270\215\345\220\253\351\207\215\345\244\215\345\255\227\347\254\246\347\232\204\345\255\220\345\255\227\347\254\246\344\270\262.md" deleted file mode 100644 index bced899..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer48.\346\234\200\351\225\277\344\270\215\345\220\253\351\207\215\345\244\215\345\255\227\347\254\246\347\232\204\345\255\220\345\255\227\347\254\246\344\270\262.md" +++ /dev/null @@ -1,32 +0,0 @@ -## [剑指 Offer 48. 最长不含重复字符的子字符串](https://leetcode.cn/problems/zui-chang-bu-han-zhong-fu-zi-fu-de-zi-zi-fu-chuan-lcof/) medium - -滑动窗口 -跟[3.无重复字符的最长子串](/js-logs/sliding-window#3无重复字符的最长子串)相同 - -```js -/** - * @param {string} s - * @return {number} - */ -var lengthOfLongestSubstring = function (s) { - const window = new Map(); - let left = 0, right = 0; - let res = 0; - while (right < s.length) { - const c = s[right]; - // 窗口增大 - right++; - window.set(c, window.has(c) ? window.get(c) + 1 : 1); - - // 判断窗口是否要缩小 - while (window.get(c) > 1) { - const d = s[left]; - left++; - window.set(d, window.get(d) - 1); - } - res = Math.max(res, right - left); - } - - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer49.\344\270\221\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer49.\344\270\221\346\225\260.md" deleted file mode 100644 index 42636c7..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer49.\344\270\221\346\225\260.md" +++ /dev/null @@ -1,45 +0,0 @@ -## [剑指 Offer 49. 丑数](https://leetcode.cn/problems/chou-shu-lcof/) medium - -跟[264.丑数-ii](/js-logs/dynamic-programming#264丑数-ii)相同 - -```js -/** - * @param {number} n - * @return {number} - */ -// 合并2,3,5倍速的链表 -var nthUglyNumber = function (n) { - if (n === 1) return 1; - let p_2 = 1, - p_3 = 1, - p_5 = 1; // 理解为头节点的值 - let p2 = 1, - p3 = 1, - p5 = 1; // 理解为链表头节点 - // 结果链表 - const ugly = new Array(n + 1).fill(0); - // 结果链表上的指针 - let p = 1; - - while (p <= n) { - let min = Math.min(p_2, p_3, p_5); - ugly[p] = min; - p++; - // 指针后移 - if (min === p_2) { - p_2 = ugly[p2] * 2; - p2++; - } - if (min === p_3) { - p_3 = ugly[p3] * 3; - p3++; - } - if (min === p_5) { - p_5 = ugly[p5] * 5; - p5++; - } - } - - return ugly[n]; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer50.\347\254\254\344\270\200\344\270\252\345\217\252\345\207\272\347\216\260\344\270\200\346\254\241\347\232\204\345\255\227\347\254\246.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer50.\347\254\254\344\270\200\344\270\252\345\217\252\345\207\272\347\216\260\344\270\200\346\254\241\347\232\204\345\255\227\347\254\246.md" deleted file mode 100644 index b0acb0a..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer50.\347\254\254\344\270\200\344\270\252\345\217\252\345\207\272\347\216\260\344\270\200\346\254\241\347\232\204\345\255\227\347\254\246.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [剑指 Offer 50. 第一个只出现一次的字符](https://leetcode.cn/problems/di-yi-ge-zhi-chu-xian-yi-ci-de-zi-fu-lcof/) easy - -考察map的使用 -跟[387.字符串中的第一个唯一字符](https://leetcode.cn/problems/first-unique-character-in-a-string/)相似 - -```js -/** - * @param {string} s - * @return {character} - */ -var firstUniqChar = function (s) { - let map = new Map(); - for (const item of s) { - if (map.has(item)) { - // 已经出现过就累加 - map.set(item, map.get(item) + 1); - } else { - map.set(item, 1); - } - } - - let res = ' '; - for (let [key, value] of map) { - if (value === 1) { - return res = key - } - } - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer51.\346\225\260\347\273\204\344\270\255\347\232\204\351\200\206\345\272\217\345\257\271.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer51.\346\225\260\347\273\204\344\270\255\347\232\204\351\200\206\345\272\217\345\257\271.md" deleted file mode 100644 index de05fa9..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer51.\346\225\260\347\273\204\344\270\255\347\232\204\351\200\206\345\272\217\345\257\271.md" +++ /dev/null @@ -1,73 +0,0 @@ -## [剑指 Offer 51. 数组中的逆序对](https://leetcode.cn/problems/shu-zu-zhong-de-ni-xu-dui-lcof/) hard - -跟[493.翻转对](/leetcode-js/js-logs/sort#493翻转对)相似 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -// 在归并排序中处理 -var reversePairs = function (nums) { - const n = nums.length; - if (n === 0) return 0; - const temp = new Array(n); - let count = 0; - - const merge = (lo, mid, hi) => { - for (let i = lo; i <= hi; i++) { - temp[i] = nums[i]; - } - - // ---左右数组有序之前--- - // let start = lo, end = mid + 1; - // while (start <= mid && end <= hi) { - // if (nums[start] > nums[end]) { - // count += mid + 1 - start; - // end++; - // } else { - // start++; - // } - // } - - // 维护一个[mid+1,end)的区间,是nums[i] > num[j]逆序对 - let end = mid + 1; - for (let start = lo; start <= mid; start++) { - while (end <= hi && nums[start] > nums[end]) { - end++; - } - count += end - (mid + 1); - } - - // ---左右数组有序--- - let i = lo, - j = mid + 1; - for (let p = lo; p <= hi; p++) { - if (i === mid + 1) { - nums[p] = temp[j++]; - } else if (j === hi + 1) { - nums[p] = temp[i++]; - } else if (temp[i] > temp[j]) { - nums[p] = temp[j++]; - } else if (temp[i] <= temp[j]) { - nums[p] = temp[i++]; - } - } - }; - - const sort = (lo, hi) => { - // 单个元素不用排序 - if (lo === hi) return; - // const mid = Math.floor(lo + (hi - lo) / 2); - const mid = lo + ((hi - lo) >> 1); - sort(lo, mid); - sort(mid + 1, hi); - // 合并[lo,mid][mid,hi] - merge(lo, mid, hi); - }; - - // 归并 - sort(0, n - 1); - return count; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer52.\344\270\244\344\270\252\351\223\276\350\241\250\347\232\204\347\254\254\344\270\200\344\270\252\345\205\254\345\205\261\350\212\202\347\202\271.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer52.\344\270\244\344\270\252\351\223\276\350\241\250\347\232\204\347\254\254\344\270\200\344\270\252\345\205\254\345\205\261\350\212\202\347\202\271.md" deleted file mode 100644 index 060ac43..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer52.\344\270\244\344\270\252\351\223\276\350\241\250\347\232\204\347\254\254\344\270\200\344\270\252\345\205\254\345\205\261\350\212\202\347\202\271.md" +++ /dev/null @@ -1,32 +0,0 @@ -## [剑指 Offer 52. 两个链表的第一个公共节点](https://leetcode.cn/problems/liang-ge-lian-biao-de-di-yi-ge-gong-gong-jie-dian-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 跟[160.相交链表](/js-logs/linked-list#160相交链表)相同 - -```js -/** - * @param {ListNode} headA - * @param {ListNode} headB - * @return {ListNode} - */ -// a1 a2 c1 c2 c3 -// b1 b2 b3 c1 c2 c3 -// 使长度相同,两个链表互相连接到尾部,这样尾部就说一样的,相遇的第一个节点就说第一个公共节点 -// a1 a2 c1 c2 c3 b1 b2 b3 [c1] c2 c3 -// b1 b2 b3 c1 c2 c3 a1 a2 [c1] c2 c3 -var getIntersectionNode = function (headA, headB) { - let p1 = headA, p2 = headB; - while (p1 !== p2) { - if (p1 === null) p1 = headB; - else p1 = p1.next; - - if (p2 === null) p2 = headA; - else p2 = p2.next; - } - - return p1; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer53-I.\345\234\250\346\216\222\345\272\217\346\225\260\347\273\204\344\270\255\346\237\245\346\211\276\346\225\260\345\255\227I.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer53-I.\345\234\250\346\216\222\345\272\217\346\225\260\347\273\204\344\270\255\346\237\245\346\211\276\346\225\260\345\255\227I.md" deleted file mode 100644 index 4cd2f12..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer53-I.\345\234\250\346\216\222\345\272\217\346\225\260\347\273\204\344\270\255\346\237\245\346\211\276\346\225\260\345\255\227I.md" +++ /dev/null @@ -1,91 +0,0 @@ -## [剑指 Offer 53 - I. 在排序数组中查找数字 I](https://leetcode.cn/problems/zai-pai-xu-shu-zu-zhong-cha-zhao-shu-zi-lcof/) easy - -时间复杂度 O(2\* logN) => O(logN) -空间复杂度 O(1) - -- 思路(二分查找) -- 跟[34.在排序数组中查找元素的第一个和最后一个位置](/js-logs/binary-search#34在排序数组中查找元素的第一个和最后一个位置)相似 -- 用二分法,分别搜索 target 的左右边界 -- 如果搜索的边界有效就返回 左右边界区间的长度 -- 如果搜索的边界为-1,说明搜索越界,返回 0 即可 - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number} - */ -var search = function (nums, target) { - if (nums.length === 0) return 0; - const left = leftSearch(nums, target); - const right = rightSearch(nums, target); - if (left === -1 || right === -1) return 0; - return right - left + 1; -}; - -// 返回左边界的索引 -var leftSearch = function (nums, target) { - let left = 0, - right = nums.length - 1; - while (left <= right) { - const mid = left + ((right - left) >> 1); - if (nums[mid] === target) { - // 收缩左边界,缩小范围[left,mid-1] - right = mid - 1; - } else if (nums[mid] > target) { - // mid太大了,缩小范围[left,mid-1] - right = mid - 1; - } else if (nums[mid] < target) { - // mid太小了,扩大范围[mid+1,right] - left = mid + 1; - } - } - // left的范围是[0,nums.length] - return nums[left] === target ? left : -1; -}; - -// 返回右边界的索引 -var rightSearch = function (nums, target) { - let left = 0, - right = nums.length - 1; - while (left <= right) { - const mid = left + ((right - left) >> 1); - if (nums[mid] === target) { - // 收缩左边界,缩小范围[mid+1,right] - left = mid + 1; - } else if (nums[mid] > target) { - // mid太大了,缩小范围[left,mid-1] - right = mid - 1; - } else if (nums[mid] < target) { - // mid太小了,扩大范围[mid+1,right] - left = mid + 1; - } - } - // right的范围是[-1,nums.length-1] - return nums[right] === target ? right : -1; -}; -``` - -时间复杂度 O(N) -空间复杂度 O(1) - -- 普通思路 -- 遍历数组 -- 如果 num===target,res 就累加 - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number} - */ -var search = function (nums, target) { - let res = 0; - for (let i = 0; i < nums.length; i++) { - if (nums[i] === target) { - res += 1; - } - } - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer53-II.0\357\275\236n-1\344\270\255\347\274\272\345\244\261\347\232\204\346\225\260\345\255\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer53-II.0\357\275\236n-1\344\270\255\347\274\272\345\244\261\347\232\204\346\225\260\345\255\227.md" deleted file mode 100644 index dab1ee1..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer53-II.0\357\275\236n-1\344\270\255\347\274\272\345\244\261\347\232\204\346\225\260\345\255\227.md" +++ /dev/null @@ -1,44 +0,0 @@ -## [剑指 Offer 53 - II. 0 ~ n-1 中缺失的数字](https://leetcode.cn/problems/que-shi-de-shu-zi-lcof/) easy - -- 思路 -- 因为异或满足交换律 -- a ^ b ^ a = b ^ (a ^ a); -- 所以可以将数组内的元素跟[0,n]异或一下 -- 结果就是丢失的数字 -- 跟[268.丢失的数字](/js-logs/bit-manipulation#268丢失的数字)相同 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var missingNumber = function (nums) { - const n = nums.length; - let res = 0; - res ^= n; - for (let i = 0; i < n; i++) { - res ^= nums[i] ^ i; - } - - return res; -}; -``` - -- 两个等差数列 -- `sum(nums) - sum([0,n])`就是缺的那个元素 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var missingNumber1 = function (nums) { - let sumNums = 0; - let sum = 0; - for (let i = 0; i < nums.length; i++) { - sumNums += nums[i]; - sum += i + 1; - } - return sum - sumNums; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer54.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\347\254\254k\345\244\247\350\212\202\347\202\271.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer54.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\347\254\254k\345\244\247\350\212\202\347\202\271.md" deleted file mode 100644 index c02eb1c..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer54.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\347\254\254k\345\244\247\350\212\202\347\202\271.md" +++ /dev/null @@ -1,38 +0,0 @@ -## [剑指 Offer 54. 二叉搜索树的第k大节点](https://leetcode.cn/problems/er-cha-sou-suo-shu-de-di-kda-jie-dian-lcof/) easy - -时间复杂度O(N) -空间复杂度O(1) - -- 思路 -- 跟[230.二叉搜索树中第K小的元素](/js-logs/binary-tree#230二叉搜索树中第k小的元素)类似 -- 不过230是利用中序遍历有序的特点,求第k小,这里求第k大 -- 可以在中序位置改变中序的结果为倒序 -- 先遍历right,再遍历left就可以了 -- 然后使用rank记录当前排名,当rank到k时,返回res即可 - -```js -/** - * @param {TreeNode} root - * @param {number} k - * @return {number} - */ -var kthLargest = function (root, k) { - let res = 0;// 记录结果 - let rank = 0; // 记录排名 - - const traverse = (root) => { - if (root === null) return; - // 先遍历right,使中序结果倒序 - traverse(root.right); - rank++; - if (rank === k) { - res = root.val; - return; - } - traverse(root.left); - } - traverse(root); - - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer55-I.\344\272\214\345\217\211\346\240\221\347\232\204\346\267\261\345\272\246.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer55-I.\344\272\214\345\217\211\346\240\221\347\232\204\346\267\261\345\272\246.md" deleted file mode 100644 index 3d65824..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer55-I.\344\272\214\345\217\211\346\240\221\347\232\204\346\267\261\345\272\246.md" +++ /dev/null @@ -1,49 +0,0 @@ -## [剑指 Offer 55 - I. 二叉树的深度](https://leetcode.cn/problems/er-cha-shu-de-shen-du-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(N) 看似是O(1) 然而在函数递归调用的时候有函数调用栈的空间,所以最坏情况下是O(N) - -- 思路(遍历解法对应 回溯解法) -- 遍历二叉树 -- 遍历时,为每个节点标记层级 -- 记录最大值并返回,可以 只比较叶子节点的层级,做优化提升 -- 跟[104. 二叉树的最大深度](/js-logs/binary-tree#104二叉树的最大深度)相同 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -var maxDepth = function (root) { - let res = 0; - const dfs = (root, deep) => { - if (root === null) return; - deep++; - if (root.left === null && root.right === null) { - res = Math.max(res, deep) - } - dfs(root.left, deep); - dfs(root.right, deep); - deep--; - } - dfs(root, 0); - - return res; -}; -``` - -「分解子问题」解法:对应动态规划解法 - -```js -/** - * @param {TreeNode} root - * @return {number} - */ -// 定义函数返回节点的最大深度 -var maxDepth = function (root) { - if (root === null) return 0; - let leftDepth = maxDepth(root.left); - let rightDepth = maxDepth(root.right); - return Math.max(leftDepth, rightDepth) + 1; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer55-II.\345\271\263\350\241\241\344\272\214\345\217\211\346\240\221.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer55-II.\345\271\263\350\241\241\344\272\214\345\217\211\346\240\221.md" deleted file mode 100644 index 8339ad8..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer55-II.\345\271\263\350\241\241\344\272\214\345\217\211\346\240\221.md" +++ /dev/null @@ -1,36 +0,0 @@ -## [剑指 Offer 55 - II. 平衡二叉树](https://leetcode.cn/problems/ping-heng-er-cha-shu-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 为了判断是否平衡,拍脑袋的想法是计算每个节点的最大高度,但是每个节点都算一遍最大深度,时间复杂度比较高 -- 所以,最好过来想,只计算一次最大深度,在计算过程中判断二叉树是否平衡 -- 对于每个节点,先算出来左右子树的最大深度,然后在后序遍历的位置,然后根据 左右子树的最大高度 判断平衡性 -- 跟[110.平衡二叉树](/js-logs/binary-tree#110平衡二叉树)相同 -- 跟[剑指Offer55-I.二叉树的深度](/js-logs/sword-point-offer#剑指-offer-55---i-二叉树的深度)相似 - -```js -/** - * @param {TreeNode} root - * @return {boolean} - */ -var isBalanced = function (root) { - let res = true; - - const traverse = (root) => { - if (root === null) return 0; - if (!res) return; // res 已经为false了,可以停止遍历了 - - const leftMaxDepth = traverse(root.left); - const rightMaxDepth = traverse(root.right); - if (Math.abs(leftMaxDepth - rightMaxDepth) > 1) { - res = false; - } - return Math.max(leftMaxDepth, rightMaxDepth) + 1; - }; - - traverse(root); - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer56-I.\346\225\260\347\273\204\344\270\255\346\225\260\345\255\227\345\207\272\347\216\260\347\232\204\346\254\241\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer56-I.\346\225\260\347\273\204\344\270\255\346\225\260\345\255\227\345\207\272\347\216\260\347\232\204\346\254\241\346\225\260.md" deleted file mode 100644 index 10d2499..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer56-I.\346\225\260\347\273\204\344\270\255\346\225\260\345\255\227\345\207\272\347\216\260\347\232\204\346\254\241\346\225\260.md" +++ /dev/null @@ -1,36 +0,0 @@ -## [剑指 Offer 56 - I. 数组中数字出现的次数](https://leetcode.cn/problems/shu-zu-zhong-shu-zi-chu-xian-de-ci-shu-lcof/) medium - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 将数字分成两组,不同的数字在不同组,相同的数字在相同组 -- 然后对这两组进行异或,两组最后的异或结果就是两个不同的数字 -- 根据什么规律进行分组? - - 若两个不同的数字`x !== y`,说明 x 和 y 二进制中至少有一位不同,可以根据这个特性进行拆分 -- 声明 m 变量找出这所有异或结果 x 中最低位的 1 - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var singleNumbers = function (nums) { - let x = nums.reduce((pre, cur) => (pre ^= cur), 0); - - // 获取x中最低位的1,用来将两个不同的数字进行分组 - let m = 1; - while ((x & m) === 0) { - m <<= 1; - } - - let a = 0, - b = 0; - for (const item of nums) { - if ((item & m) === 0) a ^= item; - else b ^= item; - } - - return [a, b]; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer56-II.\346\225\260\347\273\204\344\270\255\346\225\260\345\255\227\345\207\272\347\216\260\347\232\204\346\254\241\346\225\260II.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer56-II.\346\225\260\347\273\204\344\270\255\346\225\260\345\255\227\345\207\272\347\216\260\347\232\204\346\254\241\346\225\260II.md" deleted file mode 100644 index 9ebb72c..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer56-II.\346\225\260\347\273\204\344\270\255\346\225\260\345\255\227\345\207\272\347\216\260\347\232\204\346\254\241\346\225\260II.md" +++ /dev/null @@ -1,26 +0,0 @@ -## [剑指 Offer 56 - II. 数组中数字出现的次数 II](https://leetcode.cn/problems/shu-zu-zhong-shu-zi-chu-xian-de-ci-shu-ii-lcof/) medium - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 使用 map 统计数字出现的次数 -- 然后找出,出现次数是 1 的数字返回 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var singleNumber = function (nums) { - const map = new Map(); - for (const num of nums) { - map.set(num, map.has(num) ? map.get(num) + 1 : 1); - } - let res = 0; - map.forEach((val, key) => { - if (val === 1) return (res = key); - }); - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer57-II.\345\222\214\344\270\272s\347\232\204\350\277\236\347\273\255\346\255\243\346\225\260\345\272\217\345\210\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer57-II.\345\222\214\344\270\272s\347\232\204\350\277\236\347\273\255\346\255\243\346\225\260\345\272\217\345\210\227.md" deleted file mode 100644 index 480f2fd..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer57-II.\345\222\214\344\270\272s\347\232\204\350\277\236\347\273\255\346\255\243\346\225\260\345\272\217\345\210\227.md" +++ /dev/null @@ -1,53 +0,0 @@ -## [剑指 Offer 57 - II. 和为 s 的连续正数序列](https://leetcode.cn/problems/he-wei-sde-lian-xu-zheng-shu-xu-lie-lcof/) easy - -时间复杂度 O(N) N 为 target/2(limitArray 的长度) -空间复杂度 O(N) N 为 limitArray 的长度 - -- 思路(滑动窗口) -- 改题第一个难点是找出结果数组对应的范围 -- 由于数组是有序的,所以结果的临界点就是`target >> 1` -- 然后将结果范围转化为对应的数组,方便查找(时间复杂度优化点) -- 然后题目就变成了在对应的范围内找出连续的系列,就可以使用滑动窗口进行求解了 - - 声明前后指针(l,r)和 sum - - r 每前进一步,就 sum+=num[r],l 也是如此 - - 共有三种状态 - - 1.`sum < target`,说明 sum 还不够,r 继续前进,扩大窗口 - - 2.`sum > target` 说明 sum 大了,sum-=num[l],l 前进一步,缩小窗口范围 - - 3.`sum == target`,说明找到了对应的序列[l,r],然后将这个序列记录到结果数组中,缩小窗口,继续寻找其他序列 - -```js -/** - * @param {number} target - * @return {number[][]} - */ -var findContinuousSequence = function (target) { - const res = []; - // 若 target = 9 - // limitArray = [ 1, 2, 3, 4, 5 ] - const limitArray = Array((target >> 1) + 1) - .fill(0) - .map((_, index) => index + 1); - // 声明左右指针 - let l = (r = 0); - let sum = 0; - while (r <= limitArray.length) { - if (sum < target) { - sum += limitArray[r]; - r++; - } else if (sum > target) { - sum -= limitArray[l]; - l++; - } else if (sum === target) { - let record = []; - for (let k = l; k < r; k++) { - record.push(limitArray[k]); - } - res.push(record); - sum -= limitArray[l]; - l++; - } - } - - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer57.\345\222\214\344\270\272s\347\232\204\344\270\244\344\270\252\346\225\260\345\255\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer57.\345\222\214\344\270\272s\347\232\204\344\270\244\344\270\252\346\225\260\345\255\227.md" deleted file mode 100644 index 0822c00..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer57.\345\222\214\344\270\272s\347\232\204\344\270\244\344\270\252\346\225\260\345\255\227.md" +++ /dev/null @@ -1,34 +0,0 @@ -## [剑指 Offer 57. 和为s的两个数字](https://leetcode.cn/problems/he-wei-sde-liang-ge-shu-zi-lcof/) easy - -时间复杂度O(N) -空间复杂度O(1) - -- 思路 -- 因为数组是有序的,所以可以利用 sum的大小关系,去靠近target,类似于二分查找的思路 -- 不过这里是使用头尾双指针 -- 如果sum太大了,就right-- -- 如果sum小了,就left++ -- sun===target时,返回left和right位置上的值即可 - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number[]} - */ -// 双指针 -var twoSum = function (nums, target) { - let left = 0, right = nums.length - 1; - - while (left < right) { - const sum = nums[left] + nums[right]; - if (sum === target) { - return [nums[left], nums[right]]; - } else if (sum > target) { - right--; - } else if (sum < target) { - left++; - } - } -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer58-I.\347\277\273\350\275\254\345\215\225\350\257\215\351\241\272\345\272\217.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer58-I.\347\277\273\350\275\254\345\215\225\350\257\215\351\241\272\345\272\217.md" deleted file mode 100644 index 18eaf90..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer58-I.\347\277\273\350\275\254\345\215\225\350\257\215\351\241\272\345\272\217.md" +++ /dev/null @@ -1,19 +0,0 @@ -## [剑指 Offer 58 - I. 翻转单词顺序](https://leetcode.cn/problems/fan-zhuan-dan-ci-shun-xu-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 先将 单词 split(分割)成数组,然后对数组进行反转,在join就行 -- 还可以通过反转两次完成,一次对处理过空格的数组整体翻转,一次对单词进行单独翻转 -- 跟[151.反转字符串中的单词](/js-logs/string#151反转字符串中的单词)相同 - -```js -/** - * @param {string} s - * @return {string} - */ -var reverseWords = function (s) { - return s.trim().split(/\s+/).reverse().join(' '); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer58-II.\345\267\246\346\227\213\350\275\254\345\255\227\347\254\246\344\270\262.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer58-II.\345\267\246\346\227\213\350\275\254\345\255\227\347\254\246\344\270\262.md" deleted file mode 100644 index 67a3c3d..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer58-II.\345\267\246\346\227\213\350\275\254\345\255\227\347\254\246\344\270\262.md" +++ /dev/null @@ -1,15 +0,0 @@ -## [剑指 Offer 58 - II. 左旋转字符串](https://leetcode.cn/problems/zuo-xuan-zhuan-zi-fu-chuan-lcof/) easy - -- 若不能使用 substring 函数 -- 也可以将字符串转成数组操作,然后把被截取的字符串拼到数组后面 - -```js -/** - * @param {string} s - * @param {number} n - * @return {string} - */ -var reverseLeftWords = function (s, n) { - return s.substring(n) + s.substring(0, n); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer60.n\344\270\252\351\252\260\345\255\220\347\232\204\347\202\271\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer60.n\344\270\252\351\252\260\345\255\220\347\232\204\347\202\271\346\225\260.md" deleted file mode 100644 index 8abccf7..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer60.n\344\270\252\351\252\260\345\255\220\347\232\204\347\202\271\346\225\260.md" +++ /dev/null @@ -1,40 +0,0 @@ -## [剑指 Offer 60. n 个骰子的点数](https://leetcode.cn/problems/nge-tou-zi-de-dian-shu-lcof/) medium - -- 首先,一个骰子能扔出的点数是 1~6, -- 那么 n 个骰子扔出点数 point 的概率 -- 就可以通过 n - 1 个骰子扔出点数 point-1, point-2,... point-6 的概率分别乘以 1/6 再相加得到。 - -```js -/** - * @param {number} n - * @return {number[]} - */ -var dicesProbability = function (n) { - const min = n, - max = n * 6; - const memo = new Array(n + 1).fill().map((_) => new Array(max + 1).fill(0)); - - // 用n个骰子,抛出point点数到概率 - const dp = (n, point) => { - if (point <= 0) return 0; - if (n === 1) { - if (point > 6) return 0; - return 1 / 6.0; - } - if (memo[n][point] !== 0) return memo[n][point]; - - let procent = 0; - for (let i = 1; i <= 6; i++) { - procent += (dp(n - 1, point - i) * 1) / 6.0; - } - memo[n][point] = procent; - return procent; - }; - - const res = new Array(max - min + 1); - for (let i = 0; i < res.length; i++) { - res[i] = dp(n, min + i); - } - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer62.\345\234\206\345\234\210\344\270\255\346\234\200\345\220\216\345\211\251\344\270\213\347\232\204\346\225\260\345\255\227.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer62.\345\234\206\345\234\210\344\270\255\346\234\200\345\220\216\345\211\251\344\270\213\347\232\204\346\225\260\345\255\227.md" deleted file mode 100644 index dcaf5d0..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer62.\345\234\206\345\234\210\344\270\255\346\234\200\345\220\216\345\211\251\344\270\213\347\232\204\346\225\260\345\255\227.md" +++ /dev/null @@ -1,46 +0,0 @@ -## [剑指 Offer 62. 圆圈中最后剩下的数字](https://leetcode.cn/problems/yuan-quan-zhong-zui-hou-sheng-xia-de-shu-zi-lcof/) easy - -- 动态规划 -- [题解](https://leetcode.cn/problems/yuan-quan-zhong-zui-hou-sheng-xia-de-shu-zi-lcof/solution/jian-zhi-offer-62-yuan-quan-zhong-zui-ho-dcow/) -- 推导结论:`f(n) = (f(n-1) + m) % n;` - -自底向上解法 - -```js -/** - * @param {number} n - * @param {number} m - * @return {number} - */ -// f(n) = (f(n-1) + m) % n; -var lastRemaining = function (n, m) { - let x = 0; - for (let i = 2; i <= n; i++) { - x = (x + m) % i; - } - return x; -}; -``` - -自顶向下解法 - -```js -/** - * @param {number} n - * @param {number} m - * @return {number} - */ -// f(n) = (f(n-1) + m) % n; -var lastRemaining = function (n, m) { - const memo = Array(n + 1).fill(-1); - const f = (n) => { - if (n === 1) return 0; - if (memo[n] !== -1) return memo[n]; - - memo[n] = (f(n - 1) + m) % n; - return memo[n]; - }; - - return f(n); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer63.\350\202\241\347\245\250\347\232\204\346\234\200\345\244\247\345\210\251\346\266\246.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer63.\350\202\241\347\245\250\347\232\204\346\234\200\345\244\247\345\210\251\346\266\246.md" deleted file mode 100644 index b31e7a7..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer63.\350\202\241\347\245\250\347\232\204\346\234\200\345\244\247\345\210\251\346\266\246.md" +++ /dev/null @@ -1,73 +0,0 @@ -## [剑指 Offer 63. 股票的最大利润](https://leetcode.cn/problems/gu-piao-de-zui-da-li-run-lcof/) medium - - -跟[121.买卖股票的最佳时机](/js-logs/dynamic-programming#121买卖股票的最佳时机)相同 -通用动态转移方程 -```js -dp[i][k][0] = max(dp[i-1][k][0], dp[i-1][k][1] + prices[i]) - = max( 今天选择reset, 今天选择sell ) -dp[i][k][1] = max(dp[i-1][k][1], dp[i-1][k-1][0] - prices[i]) - = max( 今天选择reset, 今天选择buy ) -``` -因为k=1,所以可以看作 -```js -dp[i][1][0] = max(dp[i-1][1][0], dp[i-1][1][1] + prices[i]) -dp[i][1][1] = max(dp[i-1][1][1], dp[i-1][0][0] - prices[i]) -``` -因为k为0时,说明不让交易,利润肯定是0,所以`dp[i-1][0][0]`是0 - -其他情况k=1,不会变,可以省略,动态转移方程变换为: -```js -dp[i][0] = max(dp[i-1][0], dp[i-1][1] + prices[i]) -dp[i][1] = max(dp[i-1][1], 0 - prices[i]) -``` - -base case -```js -dp[-1][...][0] = 0 -解释:因为 i 是从 0 开始的,所以 i = -1 意味着还没有开始,这时候的利润当然是 0 - -dp[-1][...][1] = -infinity -解释:还没开始的时候,是不可能持有股票的 -因为我们的算法要求一个最大值,所以初始值设为一个最小值,方便取最大值 - -dp[...][0][0] = 0 -解释:因为 k 是从 1 开始的,所以 k = 0 意味着根本不允许交易,这时候利润当然是 0 - -dp[...][0][1] = -infinity -解释:不允许交易的情况下,是不可能持有股票的 -因为我们的算法要求一个最大值,所以初始值设为一个最小值,方便取最大值 -``` - -```js -/** - * @param {number[]} prices - * @return {number} - */ -var maxProfit = function (prices) { - const n = prices.length; - if (n === 0) return 0; - const dp = new Array(n).fill().map(_ => new Array(2).fill(0)); - - for (let i = 0; i < n; i++) { - // base case - if (i - 1 === -1) { - // [i-1] === -1 的时候越界 - // dp[i][0] = Math.max(dp[i - 1][0], dp[i - 1][1] + prices[i]); - // = max(dp[-1][0], dp[-1][1] + prices[i]) - // = max(0, -infinity + prices[i]) = 0 - dp[i][0] = 0; - - // dp[i][1] = Math.max(dp[i - 1][1], 0 - prices[i]); - // = max(dp[-1][1], -prices[i]) - // = max(-infinity, -prices[i]) = -prices[i] - dp[i][1] = -prices[i]; - continue; - } - dp[i][0] = Math.max(dp[i - 1][0], dp[i - 1][1] + prices[i]); - dp[i][1] = Math.max(dp[i - 1][1], 0 - prices[i]); - } - - return dp[n - 1][0]; // 最后一天肯定售出的利润大 -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer64.\346\261\2021+2+\342\200\246+n.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer64.\346\261\2021+2+\342\200\246+n.md" deleted file mode 100644 index 5fdfca7..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer64.\346\261\2021+2+\342\200\246+n.md" +++ /dev/null @@ -1,21 +0,0 @@ -## [剑指 Offer 64. 求1+2+…+n](https://leetcode.cn/problems/qiu-12n-lcof/) medium - -时间复杂度O(n) 递归的次数 -空间复杂度O(n) 递归栈的深度 - -- 思路 -- 使用&&的特性做为递归出口 - -```js -/** - * @param {number} n - * @return {number} - */ -var sumNums = function (n) { - // 使用了三元,不符合题目要求 - // return n === 0 ? 0 : n + sumNums(n - 1); - // 使用&&的短路特性 修改递归出口 - n && (n = n + sumNums(n - 1)); - return n; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer65.\344\270\215\347\224\250\345\212\240\345\207\217\344\271\230\351\231\244\345\201\232\345\212\240\346\263\225.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer65.\344\270\215\347\224\250\345\212\240\345\207\217\344\271\230\351\231\244\345\201\232\345\212\240\346\263\225.md" deleted file mode 100644 index 694a77d..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer65.\344\270\215\347\224\250\345\212\240\345\207\217\344\271\230\351\231\244\345\201\232\345\212\240\346\263\225.md" +++ /dev/null @@ -1,88 +0,0 @@ -## [剑指 Offer 65. 不用加减乘除做加法](https://leetcode.cn/problems/bu-yong-jia-jian-cheng-chu-zuo-jia-fa-lcof/) easy - -思路 -使用二进制表示十进制的加分运算过程 - -```js -22 + 89 = 111 - - 百 十 个 - 2 2 - + 8 9 - ------ - 0 1 // 本位 - 1 1 // 进位 -``` - -01 是计算后的本位,直接记录。 -11 是计算后的进位,需要:做 「进位逻辑」 后进入下轮计算。 -(进位逻辑:乘以进制数,也就是 11 \* 10) -而这里没有下轮计算了,最终得到 111 -若这轮的进位不为 0,说明还需要进行下一轮运算 - -```js -// 最后结果 - 0 1 - + 1 1 0 - -------- - 1 1 1 -``` - -同样的逻辑在 二进制 里应用: - -```js -a ^ b; // 计算出2个加数二进制下每一位的本位 -a & - (b( - // 计算出2个加数二进制下每一位的进位 - - a & b, - ) << - 1); // 进位做进位逻辑,也就是 * 2 -``` - -递归解法 - -```js -/** - * @param {number} a - * @param {number} b - * @return {number} - */ -var add = function (a, b) { - if (b === 0) return a; - // 若 a = 1001 - // 若 b = 0101 - // 1100 <- 本位 - // 0001 <- 进位 - // 0010 <- *2 后的进位 - // 然后将(本位和进位*2后的值相加,若还需要进位(进位不为0),则继续迭代下去) - - // 本位求和 => a^b => 1100 - const sum = a ^ b; - // 先进位求和(a&b => 0001) - // 然后 (<<1) => 相当于*2 =>(0001 => 0010) - const carry = (a & b) << 1; - // add(1100,0010) - return add(sum, carry); -}; -``` - -迭代解法 - -```js -/** - * @param {number} a - * @param {number} b - * @return {number} - */ -var add = function (a, b) { - while (b !== 0) { - // 若进位还有,说明还需要计算 - const temp = a & b; // 计算进位 - a = a ^ b; // 本位 - b = temp << 1; // 「进位逻辑」*2 - } - return a; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer66.\346\236\204\345\273\272\344\271\230\347\247\257\346\225\260\347\273\204.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer66.\346\236\204\345\273\272\344\271\230\347\247\257\346\225\260\347\273\204.md" deleted file mode 100644 index 9a25d74..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer66.\346\236\204\345\273\272\344\271\230\347\247\257\346\225\260\347\273\204.md" +++ /dev/null @@ -1,48 +0,0 @@ -## [剑指 Offer 66. 构建乘积数组](https://leetcode.cn/problems/gou-jian-cheng-ji-shu-zu-lcof/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路(前缀和) -- 分别构建从左到右,和从右到左的前缀积 -- 例如原数组是: `[1,2,3,4,5]` -- 从左到右的前缀积 prefix[i]是 a[0...i]的元素积 - - prefix: `[ 1, 2, 6, 24, 120 ]` -- 从右到左的前缀积,suffix[i]是 a[i...n-1]的元素积 - - suffix: `[ 120, 120, 60, 20, 5 ]` -- 最后在 res 中,除了自己,将左侧和右侧的元素相乘 -- 跟[238.除自身以外数组的乘积](/js-logs/array#238除自身以外数组的乘积)相同 - -```js -/** - * @param {number[]} a - * @return {number[]} - */ -var constructArr = function (a) { - const n = a.length; - if (n === 0) return []; - // 假设 a => [1,2,3,4,5] - // 从左到右的前缀积 prefix[i]是a[0...i]的元素积 - const prefix = Array(n); // => [ 1, 2, 6, 24, 120 ] - prefix[0] = a[0]; - for (let i = 1; i < n; i++) { - prefix[i] = prefix[i - 1] * a[i]; - } - - // 从右到左的前缀积,suffix[i]是a[i...n-1]的元素积 - const suffix = Array(n); // => [ 120, 120, 60, 20, 5 ] - suffix[n - 1] = a[n - 1]; - for (let i = n - 2; i >= 0; i--) { - suffix[i] = suffix[i + 1] * a[i]; - } - - const res = Array(n); - res[0] = suffix[1]; - res[n - 1] = prefix[n - 2]; - for (let i = 1; i < n - 1; i++) { - // 除了nums[i]自己,左侧和右侧的所有元素的积 - res[i] = prefix[i - 1] * suffix[i + 1]; - } - return res; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer68-I.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer68-I.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" deleted file mode 100644 index 6585ed6..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer68-I.\344\272\214\345\217\211\346\220\234\347\264\242\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" +++ /dev/null @@ -1,39 +0,0 @@ -## [剑指 Offer 68 - I. 二叉搜索树的最近公共祖先](https://leetcode.cn/problems/er-cha-sou-suo-shu-de-zui-jin-gong-gong-zu-xian-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(N) 递归:函数调用堆栈 - -- 思路 -- 运用二叉搜索树,`左小 右大`的特性 -- 如果 p,q 都小于 root,说明 lca 在左子树 -- 如果 p,q 都大于 root,说明 lca 在右子树 -- 如果 p <= root,q >= root,说明 root 就是 lca -- 跟[235.二叉搜索树的最近公共祖先](/js-logs/binary-tree#235-二叉搜索树的最近公共祖先)相同 - -```js -/** - * @param {TreeNode} root - * @param {TreeNode} p - * @param {TreeNode} q - * @return {TreeNode} - */ -var lowestCommonAncestor = function (root, p, q) { - if (root === null) return null; - if (p.val > q.val) { - // 保证 p <= q - return lowestCommonAncestor(root, q, p); - } - if (p.val <= root.val && root.val <= q.val) { - // p <= root <= q - // 说明p、q分布在root两侧,root就是最近的祖先 - return root; - } - if (root.val > q.val) { - // 说明p、q都在root的左子树 - return lowestCommonAncestor(root.left, p, q); - } else { - // 说明p、q都在root的右子树 - return lowestCommonAncestor(root.right, p, q); - } -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer68-II.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" "b/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer68-II.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" deleted file mode 100644 index 9776383..0000000 --- "a/example/\345\211\221\346\214\207Offer/\345\211\221\346\214\207Offer68-II.\344\272\214\345\217\211\346\240\221\347\232\204\346\234\200\350\277\221\345\205\254\345\205\261\347\245\226\345\205\210.md" +++ /dev/null @@ -1,45 +0,0 @@ -## [剑指 Offer 68 - II. 二叉树的最近公共祖先](https://leetcode.cn/problems/er-cha-shu-de-zui-jin-gong-gong-zu-xian-lcof/) easy - -时间复杂度 O(N) N 为二叉树节点个数,最坏情况下, 要遍历所有节点 -空间复杂度 O(N) 最坏情况下递归深度为 N - -- 思路 -- 首先明确 base,当递归到 底部节点,返回`null` -- 定义递归函数,返回一个树中 找到的 `p或q节点` (在前序位置找) -- 分情况讨论 -- 三种情况(在后序位置判断) - - 情况 1: p 和 q 分别在不同的子树中,left 和 right 都有值,说明 root 就是 ans - - 情况 2:p 和 q 在树中没有被找到,说明没有公共祖先,返回 null - - 情况 3:p 和 q 在同一颗树下,那么这个时候 left 和 right 肯定有一侧是找不到,返回 null 的,那么返回另一侧最先找到的节点即可 - - 情况 2 也可以省略不写,这种情况包含在情况 3 的三元判断中了 - -跟[236.二叉树的最近公共祖先](/js-logs/binary-tree#236-二叉树的最近公共祖先)相同 - -```js -/** - * @param {TreeNode} root - * @param {TreeNode} p - * @param {TreeNode} q - * @return {TreeNode} - */ -var lowestCommonAncestor = function (root, p, q) { - // base case - if (root === null) return null; - // 前序遍历位置 - // 在向下递归的过程中(分叉),若发现p或q,那么就返回找到的节点 - if (root === q || root === p) return root; - const left = lowestCommonAncestor(root.left, p, q); - const right = lowestCommonAncestor(root.right, p, q); - - // 后序遍历 - // 1.发现left和right都有值,那么说明root是ans - if (left !== null && right !== null) return root; - - // 2.发现left和right都没有值,那么说明没有ans,返回null - // 包含在了最下面的元判断中,可以省略 - // if (left === null && right === null) return null; - - // 3.若只有一边有值,说明在同一边,返回另一边最近找到的作为ans - return left === null ? right : left; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23013.\346\234\272\345\231\250\344\272\272\347\232\204\350\277\220\345\212\250\350\214\203\345\233\264.md" "b/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23013.\346\234\272\345\231\250\344\272\272\347\232\204\350\277\220\345\212\250\350\214\203\345\233\264.md" deleted file mode 100644 index c825cab..0000000 --- "a/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23013.\346\234\272\345\231\250\344\272\272\347\232\204\350\277\220\345\212\250\350\214\203\345\233\264.md" +++ /dev/null @@ -1,40 +0,0 @@ -## [面试题13. 机器人的运动范围](https://leetcode.cn/problems/ji-qi-ren-de-yun-dong-fan-wei-lcof/) medium - -时间复杂度O(mn) -空间复杂地O(mn) - -- 思路 -- 机器人其实只能向右或向下走 -- 深度优先遍历 -- 使用visited进行剪枝 -- 进行越界判断和bitSum判断,返回0 -- 然后当前节点+向下和向右的节点:`1+[i+1,j]+[i,j+1]`即可 - -```js -/** - * @param {number} m - * @param {number} n - * @param {number} k - * @return {number} - */ -var movingCount = function (m, n, k) { - const visited = new Array(m).fill().map(_ => new Array(n).fill(false)); - - const bitSum = (x) => { - let sum = 0; - while (x > 0) { - sum += x % 10; - x = Math.floor(x / 10); - } - return sum; - } - - const dfs = (i, j) => { - if (i >= m || j >= n || visited[i][j] || bitSum(i) + bitSum(j) > k) return 0; - visited[i][j] = true; - return 1 + dfs(i + 1, j) + dfs(i, j + 1); - } - - return dfs(0, 0); -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23045.\346\212\212\346\225\260\347\273\204\346\216\222\346\210\220\346\234\200\345\260\217\347\232\204\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23045.\346\212\212\346\225\260\347\273\204\346\216\222\346\210\220\346\234\200\345\260\217\347\232\204\346\225\260.md" deleted file mode 100644 index 6375c32..0000000 --- "a/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23045.\346\212\212\346\225\260\347\273\204\346\216\222\346\210\220\346\234\200\345\260\217\347\232\204\346\225\260.md" +++ /dev/null @@ -1,61 +0,0 @@ -## [面试题45. 把数组排成最小的数](https://leetcode.cn/problems/ba-shu-zu-pai-cheng-zui-xiao-de-shu-lcof/) medium - -时间复杂度 O(N*logN) 最差为N^2 -空间复杂度 O(N) - -```js -/** - * @param {number[]} nums - * @return {string} - */ -var minNumber = function (nums) { - // a+b的字符串组合,谁更小,谁排前面 - // 最后join返回字符串 - return nums.sort((a, b) => Number(a + '' + b) - Number(b + '' + a)).join('') -}; -``` - -- 快速排序 -- x+y > y+x ,说明x大于y,y排前面 -- x+y < y+x ,说明x小于y,x排前面 - -```js -/** - * @param {number[]} nums - * @return {string} - */ -var minNumber = function (nums) { - nums = nums.map(item => item.toString()); - quickSort(nums, 0, nums.length - 1); - return nums.join(''); -}; - -function quickSort(nums, l, r) { - if (l >= r) return; - // 分割数组 - const p = partition(nums, l, r); - quickSort(nums, l, p - 1); - quickSort(nums, p + 1, r); -} - -function partition(nums, l, r) { - const p = nums[l]; - let i = l, j = r; - while (i < j) { - // x+y > y+x ,说明x大于y, x排后面, j--;继续查找不满足条件的(需要交换的) - while (nums[j] + p >= p + nums[j] && i < j) j--; - // x+y < y+x ,说明x小于y, x排前面, i++;继续查找不满足条件的(需要交换的) - while (nums[i] + p <= p + nums[i] && i < j) i++; - swap(nums, i, j); - } - // while结束时,i===j - swap(nums, l, j); - return j; -} - -function swap(nums, l, r) { - const temp = nums[l]; - nums[l] = nums[r]; - nums[r] = temp; -} -``` diff --git "a/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23061.\346\211\221\345\205\213\347\211\214\344\270\255\347\232\204\351\241\272\345\255\220.md" "b/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23061.\346\211\221\345\205\213\347\211\214\344\270\255\347\232\204\351\241\272\345\255\220.md" deleted file mode 100644 index b2acc46..0000000 --- "a/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23061.\346\211\221\345\205\213\347\211\214\344\270\255\347\232\204\351\241\272\345\255\220.md" +++ /dev/null @@ -1,32 +0,0 @@ -## [面试题61. 扑克牌中的顺子](https://leetcode.cn/problems/bu-ke-pai-zhong-de-shun-zi-lcof/) easy - -时间复杂度O(N) -空间复杂度O(1) - -- 思路 -- 首先不能出现除0外 重复的元素,若出现直接返回false -- 然后可以先对数组排序,排序之后找出 最小、最大的值 -- 两者之差小于5说明是顺子 - -```js -/** - * @param {number[]} nums - * @return {boolean} - */ -var isStraight = function (nums) { - let joker = 0; - nums.sort((a, b) => a - b); - for (let i = 0; i < 4; i++) { - if (nums[i] === 0) { - joker++; // 大小王数量 - } else if (nums[i] === nums[i + 1]) { - // 判重 - return false; - } - } - // [0,0,1,2,5] - // 5-1<5 - // 最大牌 - 最小牌 < 5 则可构成顺子 - return nums[4] - nums[joker] < 5; -}; -``` diff --git "a/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23067.\346\212\212\345\255\227\347\254\246\344\270\262\350\275\254\346\215\242\346\210\220\346\225\264\346\225\260.md" "b/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23067.\346\212\212\345\255\227\347\254\246\344\270\262\350\275\254\346\215\242\346\210\220\346\225\264\346\225\260.md" deleted file mode 100644 index e63e73d..0000000 --- "a/example/\345\211\221\346\214\207Offer/\351\235\242\350\257\225\351\242\23067.\346\212\212\345\255\227\347\254\246\344\270\262\350\275\254\346\215\242\346\210\220\346\225\264\346\225\260.md" +++ /dev/null @@ -1,55 +0,0 @@ -## [面试题 67. 把字符串转换成整数](https://leetcode.cn/problems/ba-zi-fu-chuan-zhuan-huan-cheng-zheng-shu-lcof/) medium - -状态机 -跟[8.字符串转换整数-atoi](/js-logs/string#8字符串转换整数-atoi)相同 - -```js -/** - * @param {string} s - * @return {number} - */ -var strToInt = function (s) { - if (s.length === 0) return 0; - const atoi = new Atoi(); - for (const c of s) { - atoi.get(c); - } - let res = atoi.flag ? Number(atoi.strNum) : -Number(atoi.strNum); - // 溢出判断 - if (res >= Math.pow(2, 31)) return Math.pow(2, 31) - 1; - if (res < -Math.pow(2, 31)) return -Math.pow(2, 31); - return res; -}; - -class Atoi { - constructor() { - this.flag = 1; // 1表示正号 - this.strNum = ''; - this.state = 'start'; - // " " "+/-" "number" "other" - this.map = new Map([ - ['start', ['start', 'single', 'is_number', 'end']], - ['single', ['end', 'end', 'is_number', 'end']], - ['is_number', ['end', 'end', 'is_number', 'end']], - ['end', ['end', 'end', 'end', 'end']], - ]); - } - - get_state(c) { - if (c === ' ') return 0; - if (c === '+' || c === '-') return 1; - if (0 <= Number(c) || Number(c) <= 9) return 2; - return 3; - } - - get(c) { - this.state = this.map.get(this.state)[this.get_state(c)]; - if (this.state === 'single') { - this.flag = c === '-' ? 0 : 1; - } - if (this.state === 'is_number') { - this.strNum += c; - } - } -} -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/10.\346\255\243\345\210\231\350\241\250\350\276\276\345\274\217\345\214\271\351\205\215.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/10.\346\255\243\345\210\231\350\241\250\350\276\276\345\274\217\345\214\271\351\205\215.md" deleted file mode 100644 index 25b158d..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/10.\346\255\243\345\210\231\350\241\250\350\276\276\345\274\217\345\214\271\351\205\215.md" +++ /dev/null @@ -1,73 +0,0 @@ -## [10.正则表达式匹配](https://leetcode.cn/problems/regular-expression-matching/) hard - -时间复杂度 O(MN) -空间复杂度 O(MN) - -```js -/** - * @param {string} s - * @param {string} p - * @return {boolean} - */ -var isMatch = function (s, p) { - const m = s.length, - n = p.length; - const memo = new Map(); // 备忘录 - - // 含义:计算 p[j..] 是否匹配 s[i..] - const dp = (s, i, p, j) => { - // base case - // 1.当j走到尾部的时候,判断i是否也走到头 - if (j === n) return i === m; - - // 2.当i走到头 - if (i === m) { - // 2.1 如果能匹配上 x* 肯定是成对出现的,为下一步进行筛选 - if ((n - j) % 2 !== 0) return false; - // 2.2 检查是否为 x*y*z* 这种形式 - for (; j + 1 < n; j += 2) { - if (p[j + 1] !== "*") { - return false; - } - } - // 2.3 上面两种情况都不满足,那么说明剩下的p可以被匹配到 - return true; - } - - // 设置备忘录,消除重叠子问题 - const key = i + " " + j; - if (memo.has(key)) return memo.get(key); - - let res = false; - - // 1.s[i] === p[j],匹配「.」的时候 - if (s[i] === p[j] || p[j] === ".") { - // 1.1 匹配上「*」 - if (j + 1 < n && p[j + 1] === "*") { - // 「.*」 的情况下,「*」可能会匹配0次到多次 - res = - dp(s, i, p, j + 2) || // 0次 - dp(s, i + 1, p, j); // 多次 - } else { - // 「.」的情况下就 常规匹配1次 - res = dp(s, i + 1, p, j + 1); - } - } else { - // 2.s[i] !== p[j],不匹配「.」的时候 - if (j + 1 < n && p[j + 1] === "*") { - // 2.1「*」的情况下,匹配0次,然后看下一个字符是否匹配 - // eg: s = "aa", p = "b*aa" - res = dp(s, i, p, j + 2); - } else { - // s[i] !== p[j] 没有「.」 没有「*」 匹配就无法进行下去了 - res = false; - } - } - - memo.set(key, res); - return res; - }; - - return dp(s, 0, p, 0); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/1014.\346\234\200\344\275\263\350\247\202\345\205\211\347\273\204\345\220\210.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/1014.\346\234\200\344\275\263\350\247\202\345\205\211\347\273\204\345\220\210.md" deleted file mode 100644 index 487fd33..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/1014.\346\234\200\344\275\263\350\247\202\345\205\211\347\273\204\345\220\210.md" +++ /dev/null @@ -1,22 +0,0 @@ -## [1014.最佳观光组合](https://leetcode.cn/problems/best-sightseeing-pair/) medium - -- `values[i] + values[j] + i - j`可以转换出 -- `(values[i] + i) + (values[j] - j)` -- `values[j] - j`是不变的,所以求出`values[i] + i`的最大值即可 - -```js -/** - * @param {number[]} values - * @return {number} - */ -var maxScoreSightseeingPair = function (values) { - let maxValueI = values[0] + 0; - let res = 0; - for (let i = 1; i < values.length; i++) { - const valueJ = values[i] - i; - res = Math.max(res, maxValueI + valueJ); - maxValueI = Math.max(maxValueI, values[i] + i); - } - return res; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/1137.\347\254\254-n-\344\270\252\346\263\260\346\263\242\351\202\243\345\245\221\346\225\260.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/1137.\347\254\254-n-\344\270\252\346\263\260\346\263\242\351\202\243\345\245\221\346\225\260.md" deleted file mode 100644 index 34847d9..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/1137.\347\254\254-n-\344\270\252\346\263\260\346\263\242\351\202\243\345\245\221\346\225\260.md" +++ /dev/null @@ -1,19 +0,0 @@ -## [1137.第-n-个泰波那契数](https://leetcode.cn/problems/n-th-tribonacci-number/) hard - - -```js -/** - * @param {number} n - * @return {number} - */ -var tribonacci = function (n) { - const dp = new Array(n + 1).fill(0); - dp[0] = 0; - dp[1] = 1; - dp[2] = 1; - for (let i = 3; i <= n; i++) { - dp[i] = dp[i - 1] + dp[i - 2] + dp[i - 3]; - } - return dp[n]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/115.\344\270\215\345\220\214\347\232\204\345\255\220\345\272\217\345\210\227.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/115.\344\270\215\345\220\214\347\232\204\345\255\220\345\272\217\345\210\227.md" deleted file mode 100644 index e51d9f7..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/115.\344\270\215\345\220\214\347\232\204\345\255\220\345\272\217\345\210\227.md" +++ /dev/null @@ -1,95 +0,0 @@ -## [115.不同的子序列](https://leetcode.cn/problems/distinct-subsequences/) hard - -- 以s的视角 -- 我们的原问题是求 s[0..] 中不同子序列 t[0..],可以先看看 s[0] 是否能匹配 t[0],如果不可以,那没得说,原问题就转化为让 s[1..] 去匹配 t[0..]; -- 但如果 s[0] 可以匹配 t[0],那么又有两种情况,这两种情况是累加的关系: - - 1、让 s[0] 匹配 t[0],那么原问题转化为让 s[1..] 去匹配 t[1..]。 - - 2、不让 s[0] 匹配 t[0],那么原问题转化为让 s[1..] 去匹配 t[0..]。 -- 比如 s = "aab", t = "ab",就有两种匹配方式:a_b 和 _ab。 - -按照这个思路,状态转移方程就是: - -``` -// 站在 s 视角的状态转移方程 -int dp(s, i, t, j) { - if (s[i] == t[j]) { - return dp(s, i+1, t, j+1) + dp(s, i+1, t, j); - } else { - return dp(s, i+1, t, j); - } -} -``` - -```js -// 以s的视角出发 -// 时间复杂度O(MN) -var numDistinct = function (s, t) { - const m = s.length, - n = t.length; - - const memo = new Array(m + 1).fill(-1).map((_) => new Array(n + 1).fill(-1)); - // 定义dp函数 - // 返回s[i,...]中 子序列t[j,...]的数量 - const dp = (i, j) => { - // base case - if (j === n) return 1; // 匹配子序列 - if (n - j > m - i) return 0; // t剩余的长度不应该比s的还长 - - if (memo[i][j] !== -1) return memo[i][j]; - - let res = 0; - if (s[i] === t[j]) { - // aab,ab => a_b, _ab - res += dp(i + 1, j + 1) + dp(i + 1, j); - } else { - // 如果s[i]!==t[j],i继续往后走,跟t[j]进行尝试匹配 - res += dp(i + 1, j); - } - memo[i][j] = res; - return res; - }; - - return dp(0, 0); -}; - -``` - -- 以t的视角 -- 我们的原问题是求 s[0..] 中不同子序列 t[0..],可以先看 t[0] 在 s 中的什么位置,假设 s[2], s[6] 是字符 t[0] -- 那么原问题转化成了在 s[2..] 和 s[6..] 中寻找不同子序列 t[1..] - -```js -/** - * @param {string} s - * @param {string} t - * @return {number} - */ -var numDistinct = function (s, t) { - const memo = new Array(s.length + 1) - .fill(-1) - .map((_) => new Array(t.length + 1).fill(-1)); - // 定义函数dp - // 返回 s[i,...] 中包含t[j,...]的数量 - const dp = (i, j) => { - if (j === t.length) { - // 子序列全部匹配 - return 1; - } - if (i === s.length) return 0; - if (memo[i][j] !== -1) return memo[i][j]; - - let res = 0; - for (let k = i; k < s.length; k++) { - // 当s[k] === t[j]的开头相同 - if (s[k] === t[j]) { - // 寻找s[k+1,...] 中包含 t[j+1,...]的数量 - res += dp(k + 1, j + 1); - } - } - memo[i][j] === res; - return res; - }; - - return dp(0, 0); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/118.\346\235\250\350\276\211\344\270\211\350\247\222.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/118.\346\235\250\350\276\211\344\270\211\350\247\222.md" deleted file mode 100644 index 74074c1..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/118.\346\235\250\350\276\211\344\270\211\350\247\222.md" +++ /dev/null @@ -1,57 +0,0 @@ -## [118.杨辉三角](https://leetcode.cn/problems/pascals-triangle/) easy - - -```js -/** - * @param {number} numRows - * @return {number[][]} - */ -// 递归 -var generate = function (numRows) { - if (numRows === 1) { - let res = []; - const firstRow = [1]; - res.push(firstRow); - return res; - } - - // 先递归生成 numRows - 1 - const triangle = generate(numRows - 1); - - const prevRow = triangle[triangle.length - 1]; - const newRow = [1]; - for (let i = 0; i < prevRow.length - 1; i++) { - newRow.push(prevRow[i] + prevRow[i + 1]); - } - newRow.push(1); - - triangle.push(newRow); - return triangle; -}; -``` - -迭代方式 - -```js -var generate = function (numRows) { - let res = []; - - // 先 生成第一层 - let firstRow = [1]; - res.push(firstRow); - - // 开始一层一层的生成 - for (let i = 2; i <= numRows; i++) { - const prevRow = res[res.length - 1]; - const curRow = [1]; - for (let i = 0; i < prevRow.length - 1; i++) { - curRow.push(prevRow[i] + prevRow[i + 1]); - } - curRow.push(1); - - res.push(curRow); - } - - return res; -} -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/119.\346\235\250\350\276\211\344\270\211\350\247\222-ii.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/119.\346\235\250\350\276\211\344\270\211\350\247\222-ii.md" deleted file mode 100644 index c7c058a..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/119.\346\235\250\350\276\211\344\270\211\350\247\222-ii.md" +++ /dev/null @@ -1,57 +0,0 @@ -## [119.杨辉三角-ii](https://leetcode.cn/problems/pascals-triangle-ii/) easy - - -```js -/** - * @param {number} rowIndex - * @return {number[]} - */ -// 动态规划(递归) -var getRow = function (rowIndex) { - // base case - // 第0行是[1]; - if (rowIndex === 0) return [1]; - - // 获取上一行的数据 - const prevRow = getRow(rowIndex - 1); - - // 根据上一行数据,构造该行数据 - const newRow = [1]; - for (let i = 0; i < prevRow.length - 1; i++) { - newRow.push(prevRow[i] + prevRow[i + 1]); - } - newRow.push(1); - - return newRow; -}; -``` - -```js -// 先求出所有的结果,然后返回 -var getRow = function (rowIndex) { - const res = generate(rowIndex + 1); - return res[res.length - 1]; -}; - -var generate = function (numRows) { - let res = []; - - // 先 生成第一层 - let firstRow = [1]; - res.push(firstRow); - - // 开始一层一层的生成 - for (let i = 2; i <= numRows; i++) { - const prevRow = res[res.length - 1]; - const curRow = [1]; - for (let i = 0; i < prevRow.length - 1; i++) { - curRow.push(prevRow[i] + prevRow[i + 1]); - } - curRow.push(1); - - res.push(curRow); - } - - return res; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/120.\344\270\211\350\247\222\345\275\242\346\234\200\345\260\217\350\267\257\345\276\204\345\222\214.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/120.\344\270\211\350\247\222\345\275\242\346\234\200\345\260\217\350\267\257\345\276\204\345\222\214.md" deleted file mode 100644 index f66f200..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/120.\344\270\211\350\247\222\345\275\242\346\234\200\345\260\217\350\267\257\345\276\204\345\222\214.md" +++ /dev/null @@ -1,29 +0,0 @@ -## [120.三角形最小路径和](https://leetcode.cn/problems/triangle/) medium - - -```js -/** - * @param {number[][]} triangle - * @return {number} - */ -var minimumTotal = function (triangle) { - const n = triangle.length; - // 定义dp[i][j]表示从triangle [0][0]到[i][j]的路径和 - const dp = new Array(n).fill().map(_ => new Array(n).fill(Infinity)); - //base case - dp[0][0] = triangle[0][0]; - - for (let i = 1; i < n; i++) { - for (let j = 0; j < triangle[i].length; j++) { - if (j === 0) { - dp[i][j] = triangle[i][j] + dp[i - 1][j]; - } else { - dp[i][j] = triangle[i][j] + Math.min(dp[i - 1][j], dp[i - 1][j - 1]); - } - } - } - - const lastSumArr = dp[n - 1]; - return Math.min.apply(null, lastSumArr); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/1277.\347\273\237\350\256\241\345\205\250\344\270\272-1-\347\232\204\346\255\243\346\226\271\345\275\242\345\255\220\347\237\251\351\230\265.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/1277.\347\273\237\350\256\241\345\205\250\344\270\272-1-\347\232\204\346\255\243\346\226\271\345\275\242\345\255\220\347\237\251\351\230\265.md" deleted file mode 100644 index b8c6b49..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/1277.\347\273\237\350\256\241\345\205\250\344\270\272-1-\347\232\204\346\255\243\346\226\271\345\275\242\345\255\220\347\237\251\351\230\265.md" +++ /dev/null @@ -1,38 +0,0 @@ -## [1277.统计全为-1-的正方形子矩阵](https://leetcode.cn/problems/count-square-submatrices-with-all-ones/) medium - -类似 [221. 最大正方形](https://leetcode.cn/problems/maximal-square/) - -
- -
dp数组图
-
- -```js -/** - * @param {number[][]} matrix - * @return {number} - */ -var countSquares = function (matrix) { - let count = 0; - const m = matrix.length, - n = matrix[0].length; - // 我们用 f[i][j] 表示以(i, j) 为右下角的正方形的最大边长, - // 除此定义之外,f[i][j] = x 也表示以(i, j) 为右下角的正方形的数目为 x(即边长为 1, 2, ..., x 的正方形各一个)。 - // 在计算出所有的 f[i][j] 后,我们将它们进行累加,就可以得到矩阵中正方形的数目 - const dp = new Array(m).fill(0).map((_) => new Array(n).fill(0)); - - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (i === 0 || j === 0) { - dp[i][j] = matrix[i][j]; - } else if (matrix[i][j] === 0) { - dp[i][j] = 0; - } else { - dp[i][j] = Math.min(dp[i - 1][j], dp[i][j - 1], dp[i - 1][j - 1]) + 1; - } - count += dp[i][j]; - } - } - return count; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/139.\345\215\225\350\257\215\346\213\206\345\210\206.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/139.\345\215\225\350\257\215\346\213\206\345\210\206.md" deleted file mode 100644 index 3ddcf2b..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/139.\345\215\225\350\257\215\346\213\206\345\210\206.md" +++ /dev/null @@ -1,41 +0,0 @@ -## [139.单词拆分](https://leetcode.cn/problems/word-break/) medium - - -```js -/** - * @param {string} s - * @param {string[]} wordDict - * @return {boolean} - */ -var wordBreak = function (s, wordDict) { - const memo = new Array(s.length + 1).fill(-1); - // 定义dp函数 - // 返回s[i,...]能否用wordDict拼成 - const dp = (i) => { - // base case - if (i === s.length) return true; - - if (memo[i] !== -1) return memo[i]; - - for (const word of wordDict) { - const len = word.length; - if (i + len > s.length) continue; // 越界 - - const subStr = s.substring(i, i + len); - if (subStr !== word) continue; // 开头不相等直接跳过 - // 如果dp[i,...]可以被拼出 - // 判断 dp[i+len,...]能否被拼出 - if (dp(i + len)) { - memo[i] = true; - return true; - } - } - - // s[i,...]不能被拼出 - memo[i] = false; - return false; - }; - - return dp(0); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/152.\344\271\230\347\247\257\346\234\200\345\244\247\345\255\220\346\225\260\347\273\204.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/152.\344\271\230\347\247\257\346\234\200\345\244\247\345\255\220\346\225\260\347\273\204.md" deleted file mode 100644 index cb05422..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/152.\344\271\230\347\247\257\346\234\200\345\244\247\345\255\220\346\225\260\347\273\204.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [152.乘积最大子数组](https://leetcode.cn/problems/maximum-product-subarray/) medium - - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var maxProduct = function (nums) { - const n = nums.length; - if (n === 1) return nums[0]; - let max = 1; // 维护i位置的最大值 - let min = 1; // 维护i位置的最小值 - let res = -Infinity; - - for (const num of nums) { - if (num < 0) { - // 当num为负数 - // 最大值和最小值交换 - let temp = min; - min = max; - max = temp; - } - max = Math.max(max * num, num); - min = Math.min(min * num, num); - res = Math.max(res, max); - } - return res; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/1567.\344\271\230\347\247\257\344\270\272\346\255\243\346\225\260\347\232\204\346\234\200\351\225\277\345\255\220\346\225\260\347\273\204\351\225\277\345\272\246.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/1567.\344\271\230\347\247\257\344\270\272\346\255\243\346\225\260\347\232\204\346\234\200\351\225\277\345\255\220\346\225\260\347\273\204\351\225\277\345\272\246.md" deleted file mode 100644 index 276469f..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/1567.\344\271\230\347\247\257\344\270\272\346\255\243\346\225\260\347\232\204\346\234\200\351\225\277\345\255\220\346\225\260\347\273\204\351\225\277\345\272\246.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [1567.乘积为正数的最长子数组长度](https://leetcode.cn/problems/maximum-length-of-subarray-with-positive-product/) medium - -跟152.乘积最大子数组 相似 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var getMaxLen = function (nums) { - let maxLength = 0; // 正数的长度 - let minLength = 0; // 负数的长度 - let res = 0; - for (const num of nums) { - if (num === 0) { - // 因为题目要求连续,所以当num为0,maxLength,minLength都为0 - maxLength = minLength = 0; - } else if (num > 0) { - // 当 num为正数时 - maxLength = maxLength + 1; - minLength = minLength === 0 ? 0 : minLength + 1; //若minLength的长度之前就是0,那么还继续为0,否则+1 - } else if (num < 0) { - let temp = maxLength; // 保留之前的max,因为后面要多max赋新值 - maxLength = minLength === 0 ? 0 : minLength + 1; - minLength = temp + 1; - } - res = Math.max(res, maxLength); - } - return res; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/174.\345\234\260\344\270\213\345\237\216\346\270\270\346\210\217.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/174.\345\234\260\344\270\213\345\237\216\346\270\270\346\210\217.md" deleted file mode 100644 index e5998ce..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/174.\345\234\260\344\270\213\345\237\216\346\270\270\346\210\217.md" +++ /dev/null @@ -1,36 +0,0 @@ -## [174.地下城游戏](https://leetcode.cn/problems/dungeon-game/) hard - - -```js -/** - * @param {number[][]} dungeon - * @return {number} - */ -// 动态转移: res = min(dp(i+1,j), dp(i,j+1)) - nums[i][j]; -var calculateMinimumHP = function (dungeon) { - let m = dungeon.length, - n = dungeon[0].length; - let memo = Array.from({ length: m }).map((_) => - Array.from({ length: n }).fill(-1) - ); - - // 表示从nums[i][j] 到达右下角至少需要的血量 - const dp = (nums, i, j) => { - // base case - // 当i,j本身就是右下角 - if (i === m - 1 && j === n - 1) { - return nums[i][j] >= 0 ? 1 : -nums[i][j] + 1; - } - // 越界情况判断 - if (i === m || j === n) return Infinity; - - if (memo[i][j] !== -1) return memo[i][j]; - let res = Math.min(dp(nums, i + 1, j), dp(nums, i, j + 1)) - nums[i][j]; - memo[i][j] = res > 0 ? res : 1; - return memo[i][j]; - }; - - // 那么我们所求的就是从nums[0][0]到达右下角需要的血量 - return dp(dungeon, 0, 0); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/198.\346\211\223\345\256\266\345\212\253\350\210\215.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/198.\346\211\223\345\256\266\345\212\253\350\210\215.md" deleted file mode 100644 index 6a05a04..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/198.\346\211\223\345\256\266\345\212\253\350\210\215.md" +++ /dev/null @@ -1,63 +0,0 @@ -## [198.打家劫舍](https://leetcode.cn/problems/house-robber/) medium - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 动态规划,一般用来解最多,最大等最值问题,且拥有重叠子问题 -- 重叠子问题:能够偷去的最大金额,其实是拿i-2的时候已经偷取的最大金额加上当前金额的和 与 i-1的时候偷取的最大金额 之间两者的最大值,就是当前i上偷取的最大金额 -- 动态转移方程: F(n) = Max(F(n-2) + 当前位置的金额 , F(n-1) ) -- 边界情况:nums为空的时候,返回0,nums为1的时候返回nums[i-1] - - -```js -/** - * @param {number[]} nums - * @return {number} - */ -// 自底向上解法 -var rob = function (nums) { - const n = nums.length; - // 定义dp数组,表示[0...i]的最高金额 - const dp = new Array(n + 1).fill(0); - // base case - dp[0] = 0; // 0的位置还没出发 - dp[1] = nums[0]; // 1号位置的最高金额 - - for (let i = 2; i <= n; i++) { - dp[i] = Math.max( - dp[i - 1], // 不抢 - dp[i - 2] + nums[i - 1] // 抢 - ); - } - - return dp[n]; -}; - -``` - -自顶向下解法 - -```js -var rob = function (nums) { - const n = nums.length; - const memo = new Array(n + 1).fill(-1); - - // 定义dp(i) - // 返回从0开始,经过i时的最高金额 - const dp = (i) => { - // base case - if (i <= 0) return 0; - if (i === 1) return nums[0]; - if (memo[i] !== -1) return memo[i]; - - memo[i] = Math.max( - dp(i - 1), //不抢 - dp(i - 2) + nums[i - 1] // 抢 - ); - return memo[i]; - }; - - return dp(n); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/213.\346\211\223\345\256\266\345\212\253\350\210\215-ii.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/213.\346\211\223\345\256\266\345\212\253\350\210\215-ii.md" deleted file mode 100644 index 0483aba..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/213.\346\211\223\345\256\266\345\212\253\350\210\215-ii.md" +++ /dev/null @@ -1,38 +0,0 @@ -## [213.打家劫舍-ii](https://leetcode.cn/problems/house-robber-ii/) medium - -相对于198.打家劫舍,多了三种情况 -- 1.两端都不抢 -- 2.抢头不抢尾 -- 3.抢尾不抢头 -在这三种情况下取最大金额,因为情况1相对于,剩下两种情况肯定更小,所以比较后两种情况就行 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var rob = function (nums) { - const n = nums.length; - if (n === 1) return nums[0]; - const memo1 = new Array(n + 1).fill(-1); - const memo2 = new Array(n + 1).fill(-1); - - const dp = (start, end, memo) => { - // base case - if (end <= start) return 0; - if (end === 1) return nums[0]; - if (memo[end] !== -1) return memo[end]; - - memo[end] = Math.max( - dp(start, end - 1, memo), //不抢 - dp(start, end - 2, memo) + nums[end - 1] // 抢 - ); - return memo[end]; - }; - - const ignoreLast = dp(0, n - 1, memo1); // 不抢尾 - const ignoreFast = dp(1, n, memo2); // 不抢头 - - return Math.max(ignoreLast, ignoreFast); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/221.\346\234\200\345\244\247\346\255\243\346\226\271\345\275\242.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/221.\346\234\200\345\244\247\346\255\243\346\226\271\345\275\242.md" deleted file mode 100644 index 7dba2f2..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/221.\346\234\200\345\244\247\346\255\243\346\226\271\345\275\242.md" +++ /dev/null @@ -1,36 +0,0 @@ -## [221.最大正方形](https://leetcode.cn/problems/maximal-square/) medium - - -```js -/** - * @param {character[][]} matrix - * @return {number} - */ -var maximalSquare = function (matrix) { - let maxSide = 0; - if (matrix === null || matrix.length === 0 || matrix[0].length === 0) - return maxSide; - - const m = matrix.length, - n = matrix[0].length; - const dp = new Array(m).fill().map((_) => new Array(n).fill(0)); - - // 从1开始 - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (matrix[i][j] === "1") { - // 当遇到1时,根据左方,上方和左上方推到出当前边 - if (i === 0 || j === 0) { - dp[i][j] = 1; // 当i||j为0 时,边长只能为1 - } else { - // 木桶效应,取最小的边长+1 - dp[i][j] = Math.min(dp[i - 1][j], dp[i][j - 1], dp[i - 1][j - 1]) + 1; - } - } - // 更新最大边长 - maxSide = Math.max(maxSide, dp[i][j]); - } - } - return maxSide * maxSide; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/264.\344\270\221\346\225\260-ii.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/264.\344\270\221\346\225\260-ii.md" deleted file mode 100644 index a3ccbe5..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/264.\344\270\221\346\225\260-ii.md" +++ /dev/null @@ -1,44 +0,0 @@ -## [264.丑数-ii](https://leetcode.cn/problems/ugly-number-ii/) medium - - -```js -/** - * @param {number} n - * @return {number} - */ -// 合并2,3,5倍速的链表 -var nthUglyNumber = function (n) { - if (n === 1) return 1; - let p_2 = 1, - p_3 = 1, - p_5 = 1; // 理解为头节点的值 - let p2 = 1, - p3 = 1, - p5 = 1; // 理解为链表头节点 - // 结果链表 - const ugly = new Array(n + 1).fill(0); - // 结果链表上的指针 - let p = 1; - - while (p <= n) { - let min = Math.min(p_2, p_3, p_5); - ugly[p] = min; - p++; - // 指针后移 - if (min === p_2) { - p_2 = ugly[p2] * 2; - p2++; - } - if (min === p_3) { - p_3 = ugly[p3] * 3; - p3++; - } - if (min === p_5) { - p_5 = ugly[p5] * 5; - p5++; - } - } - - return ugly[n]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/279.\345\256\214\345\205\250\345\271\263\346\226\271\346\225\260.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/279.\345\256\214\345\205\250\345\271\263\346\226\271\346\225\260.md" deleted file mode 100644 index 3d4c690..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/279.\345\256\214\345\205\250\345\271\263\346\226\271\346\225\260.md" +++ /dev/null @@ -1,24 +0,0 @@ -## [279.完全平方数](https://leetcode.cn/problems/perfect-squares/) medium - - -```js -/** - * @param {number} n - * @return {number} - */ -var numSquares = function (n) { - // 定义dp - // dp[i]表示i的完全平方数的最少数量 - const dp = new Array(n + 1).fill(0); - dp[0] = 0; - for (let i = 1; i <= n; i++) { - let curMin = Infinity; - for (let j = 1; j * j <= i; j++) { - curMin = Math.min(curMin, dp[i - (j * j)]); - } - // 动态转移方程:dp[i] = dp[i - j^2] + 1; - dp[i] = curMin + 1; - } - return dp[n]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/312.\346\210\263\346\260\224\347\220\203.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/312.\346\210\263\346\260\224\347\220\203.md" deleted file mode 100644 index 21b9485..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/312.\346\210\263\346\260\224\347\220\203.md" +++ /dev/null @@ -1,38 +0,0 @@ -## [312.戳气球](https://leetcode.cn/problems/burst-balloons/) hard - -时间复杂度 O(mn) -空间复杂度 O(mn) - -[思路](https://mp.weixin.qq.com/s/I0yo0XZamm-jMpG-_B3G8g) - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var maxCoins = function (nums) { - let n = nums.length; - let points = new Array(n + 2); - points[0] = points[n + 1] = 1; // 在首位添加虚拟气球 - for (let i = 1; i <= n; i++) { - points[i] = nums[i - 1]; - } - - // dp[i][j] 表示开区间 (i,j)范围内,获得硬币最大数量 - let dp = Array.from({ length: n + 2 }).map((_) => - Array.from({ length: n + 2 }).fill(0) - ); - for (let i = n; i >= 0; i--) { - for (let j = i + 1; j < n + 2; j++) { - for (let k = i + 1; k < j; k++) { - dp[i][j] = Math.max( - dp[i][j], - dp[i][k] + dp[k][j] + points[i] * points[k] * points[j] - ); - } - } - } - - return dp[0][n + 1]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/322.\351\233\266\351\222\261\345\205\221\346\215\242.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/322.\351\233\266\351\222\261\345\205\221\346\215\242.md" deleted file mode 100644 index 99ebe83..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/322.\351\233\266\351\222\261\345\205\221\346\215\242.md" +++ /dev/null @@ -1,37 +0,0 @@ -## [322.零钱兑换](https://leetcode.cn/problems/coin-change/) medium - -动态规划框架: - 明确【状态】==> 定义dp数组/函数的含义 ==> 明确【选择】 ==> 明确base case - -- 明确状态:先找出原问题和子问题中变化的变量,由于硬币数量无限,所以唯一的状态就是目标金额 amount -- 明确dp函数的含义: 当前的目标金额是n,至少需要dp(n) 个硬币,凑出该金额 -- 明确选择并择优: ??? -- base case : 目标金额为0时所需金额为0, 目标金额小于0时,无解,返回-1 - -```js -/** - * @param {number[]} coins - * @param {number} amount - * @return {number} - */ -var coinChange = function (coins, amount) { - const memo = new Array(amount + 1).fill(-666); - // 定义dp函数 - // dp(n)返回凑成n所需要的最少硬币数 - const dp = (n) => { - if (n === 0) return 0; - if (n < 0) return -1; - if (memo[n] !== -666) return memo[n]; - let res = Infinity; - for (const coin of coins) { - const sub = dp(n - coin); - if (sub === -1) continue; - res = Math.min(res, sub + 1); - } - memo[n] = res === Infinity ? -1 : res; - return memo[n]; - }; - - return dp(amount); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/338.\346\257\224\347\211\271\344\275\215\350\256\241\346\225\260.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/338.\346\257\224\347\211\271\344\275\215\350\256\241\346\225\260.md" deleted file mode 100644 index 17b5a4a..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/338.\346\257\224\347\211\271\344\275\215\350\256\241\346\225\260.md" +++ /dev/null @@ -1,55 +0,0 @@ -## [338.比特位计数](https://leetcode.cn/problems/counting-bits/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路(动态规划) -- 如果是偶数 x,x 的【比特位技数】就是 x/2 -- 如果是奇数 x, x 的【比特位技数】就是(x/2) + 1 -- 动态转移方程:`bites[i] = bites[i>>1] + (i % 2)` - -```js -/** - * @param {number} n - * @return {number[]} - */ -var countBits = function (n) { - const bites = Array(n + 1).fill(0); - for (let i = 1; i <= n; i++) { - bites[i] = bites[i >> 1] + (i % 2); - } - return bites; -}; -``` - -时间复杂度 O(N\*logN) -空间复杂度 O(N) - -- 思路 -- 单独计算每个数组二进制中的 1 -- 使用`num= num & (num - 1)`;分别消除二进制最后一位 1,并统计消除个数 - -```js -/** - * @param {number} n - * @return {number[]} - */ -var countBits = function (n) { - const bites = Array(n + 1).fill(0); - - const count = (num) => { - let sum = 0; - while (num > 0) { - num = num & (num - 1); - sum++; - } - - return sum; - }; - - for (let i = 0; i <= n; i++) { - bites[i] = count(i); - } - return bites; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/343.\346\225\264\346\225\260\346\213\206\345\210\206.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/343.\346\225\264\346\225\260\346\213\206\345\210\206.md" deleted file mode 100644 index 418e933..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/343.\346\225\264\346\225\260\346\213\206\345\210\206.md" +++ /dev/null @@ -1,62 +0,0 @@ -## [343.整数拆分](https://leetcode.cn/problems/integer-break/) medium - -- 思路 -- 动态规划 -- 定义 dp[i]表示 i 被分解后的最大乘积 -- 0 和 1 不能被拆解成正整数,所以 dp[0]=dp[1]=0; -- i(i>=2)可以被拆解为(j,i-j),若 i-j 可以被继续拆解,那么最大的积就是 dp[i-j] -- `dp[i] = max( j * (i-j), j * dp[i-j])`; - -```js -/** - * @param {number} n - * @return {number} - */ -var integerBreak = function (n) { - // 定义dp[i]表示 i分解后 的最大乘积 - let dp = new Array(n + 1).fill(0); - dp[0] = dp[1] = 0; // 0和1不能被拆分 - for (let i = 2; i <= n; i++) { - let curMax = 0; - for (let j = 0; j < i; j++) { - curMax = Math.max(curMax, j * (i - j), j * dp[i - j]); - } - dp[i] = curMax; - } - - return dp[n]; -}; -``` - -自顶向下+备忘录 - -```js -/** - * @param {number} n - * @return {number} - */ -// 4 = 1+3,2+2 -// 4 = max(1*3,2+2) -// 4 = max(1*3, 1*dp(3), 2+2, 2*dp(2), dp(2)+2, dp(2)+dp(2)) -// 4 = max( -// max(1,dp(1)) * max(3,dp(3)), -// max(2,dp(2)) * max(2,dp(2)), -// ) -var integerBreak = function (n) { - const memo = Array(n + 1).fill(-1); - // 返回拆解n后的最大乘积 - const dp = (n) => { - if (n === 0 || n === 1) return n; - if (memo[n] !== -1) return memo[n]; - - let res = -Infinity; - for (let i = 1; i < n; i++) { - res = Math.max(res, Math.max(i, dp(i)) * Math.max(n - i, dp(n - i))); - } - memo[n] = res; - return res; - }; - - return dp(n); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/376.\346\221\206\345\212\250\345\272\217\345\210\227.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/376.\346\221\206\345\212\250\345\272\217\345\210\227.md" deleted file mode 100644 index b90baf9..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/376.\346\221\206\345\212\250\345\272\217\345\210\227.md" +++ /dev/null @@ -1,40 +0,0 @@ -## [376.摆动序列](https://leetcode.cn/problems/wiggle-subsequence/) medium - -- 动态规划 -- 定义up数组up[i]表示以前 i 个元素中的某一个为结尾的最长的「上升摆动序列」的长度 -- 定义down数组down[i]表示以前i个元素中的某一个为结尾的最长的「下降摆动序列」的长度 -- 动态转移方程 -- `(nums[i] <= nums[i-1]) up[i] = up[i-1];` -- `(nums[i] > nums[i-1]) up[i] = max(up[i-1],down[i-1]+1);` - -- `(nums[i] >= nums[i-1]) down[i] = down[i-1];` -- `(nums[i] < nums[i-1]) down[i] = max(down[i-1],up[i-1]+1);` - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var wiggleMaxLength = function (nums) { - const n = nums.length; - if (n < 2) return n; - const up = new Array(n).fill(0); - const down = new Array(n).fill(0); - up[0] = down[0] = 1; - - for (let i = 1; i < n; i++) { - if (nums[i] > nums[i - 1]) { - up[i] = Math.max(up[i - 1], down[i - 1] + 1); - down[i] = down[i - 1]; - } else if (nums[i] < nums[i - 1]) { - down[i] = Math.max(down[i - 1], up[i - 1] + 1); - up[i] = up[i - 1]; - } else if (nums[i] === nums[i - 1]) { - up[i] = up[i - 1]; - down[i] = down[i - 1]; - } - } - - return Math.max(up[n - 1], down[n - 1]); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/377.\347\273\204\345\220\210\346\200\273\345\222\214-\342\205\263.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/377.\347\273\204\345\220\210\346\200\273\345\222\214-\342\205\263.md" deleted file mode 100644 index 57f144e..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/377.\347\273\204\345\220\210\346\200\273\345\222\214-\342\205\263.md" +++ /dev/null @@ -1,29 +0,0 @@ -## [377.组合总和-ⅳ](https://leetcode.cn/problems/combination-sum-iv/) medium - -[题解](https://leetcode.cn/problems/combination-sum-iv/solution/zu-he-zong-he-iv-by-leetcode-solution-q8zv/) - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number} - */ -var combinationSum4 = function (nums, target) { - // 定义dp - //dp[i]表示组成i的排列个素 - const dp = new Array(target + 1).fill(0); - // base case - dp[0] = 1; // 组成0,只有一种方案 - - for (let i = 1; i <= target; i++) { - for (const num of nums) { - if (num <= i) { - // 累加 i-num的排列组合 - dp[i] = dp[i] + dp[i - num]; - } - } - } - - return dp[target]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/413.\347\255\211\345\267\256\346\225\260\345\210\227\345\210\222\345\210\206.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/413.\347\255\211\345\267\256\346\225\260\345\210\227\345\210\222\345\210\206.md" deleted file mode 100644 index 2ded988..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/413.\347\255\211\345\267\256\346\225\260\345\210\227\345\210\222\345\210\206.md" +++ /dev/null @@ -1,47 +0,0 @@ -## [413.等差数列划分](https://leetcode.cn/problems/arithmetic-slices/) medium - -- 动态规划思路 -- 1.定义dp含义 -- 2.状态转移 -- 3.base case -- 4.迭代解决问题 - -- 1.首先定义dp[i]表示以i结尾的等差数列的个数 -- 2.如果 `nums[i] - nums[i - 1] === nums[i - 1] - nums[i - 2]`,说明[i-2,i-1,i]可以组成一个等差数列,那么dp[i]+=1, 还要考虑长度不止是3的情况,i-1位置上表示 以i-1组成的等差数列个数,当i可以组成等差数列时,再加上i-1位置上的个数,就可以表示 以i结尾的个数了 -- 3.初始化dp数组为0,题目要求至少3个元素是一个数列,从2开始遍历 -- 4.循环处理每个位置的个数 -- 5.sum(dp)就是全部的子数组个数 - -[题解](https://leetcode.cn/problems/arithmetic-slices/solution/by-xu-haobooo-hndq/) - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var numberOfArithmeticSlices = function (nums) { - const n = nums.length; - if (n < 3) return 0; - - // 定义dp - // dp[i]表示以i结尾的等差数列子数组个数 - const dp = new Array(n).fill(0); - - for (let i = 2; i < n; i++) { - // [i-2,i-1,i] 说明是一个3位数的 等差数列 - if (nums[i] - nums[i - 1] === nums[i - 1] - nums[i - 2]) { - dp[i] += 1; - // 当i位置上有等差数列 - // 若i-1位置上也有等差数列 - // 再加上i-1位置上的等差数列子数组 - // 就能表示 第i个数字结尾组成的等差数列的个数 - if (dp[i - 1] !== 0) { - dp[i] += dp[i - 1]; - } - } - } - - const sum = dp.reduce((pre, cur) => pre += cur, 0); - return sum; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/416.\345\210\206\345\211\262\347\255\211\345\222\214\345\255\220\351\233\206.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/416.\345\210\206\345\211\262\347\255\211\345\222\214\345\255\220\351\233\206.md" deleted file mode 100644 index c4afaf5..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/416.\345\210\206\345\211\262\347\255\211\345\222\214\345\255\220\351\233\206.md" +++ /dev/null @@ -1,44 +0,0 @@ -## [416.分割等和子集](https://leetcode.cn/problems/partition-equal-subset-sum/) medium - - -```js -/** - * @param {number[]} nums - * @return {boolean} - */ -var canPartition = function (nums) { - let sum = 0; - for (const i in nums) { - sum += nums[i]; - } - - if (sum % 2 !== 0) return false; - sum = sum / 2; - let n = nums.length; - // dp[i][j] 表示 对于前 i 个物品,当前背包的容量为 j 时 - // 若 x 为 true,则说明可以恰好将背包装满,若 x 为 false,则说明不能恰好将背包装满 - let dp = Array.from({ length: n + 1 }).map((_) => - Array.from({ length: sum + 1 }).fill(false) - ); - - // base case - for (let i = 0; i <= n; i++) { - dp[i][0] = true; - } - - for (let i = 1; i <= n; i++) { - for (let j = 1; j <= sum; j++) { - // 当背包容量小于要装入的容量时,装不进去 - if (j < nums[i - 1]) { - // 装不进去 - dp[i][j] = dp[i - 1][j]; - } else { - // 装不进去 || 装进去 - dp[i][j] = dp[i - 1][j] || dp[i - 1][j - nums[i - 1]]; - } - } - } - - return dp[n][sum]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/42.\346\216\245\351\233\250\346\260\264.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/42.\346\216\245\351\233\250\346\260\264.md" deleted file mode 100644 index 67c8e3d..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/42.\346\216\245\351\233\250\346\260\264.md" +++ /dev/null @@ -1,45 +0,0 @@ -## [42.接雨水](https://leetcode.cn/problems/trapping-rain-water/) hard - -对于任意一个位置i: -``` -water[i] = min( - # 左边最高的柱子 - max(height[0..i]), - # 右边最高的柱子 - max(height[i..end]) - ) - height[i] -``` - -```js -/** - * @param {number[]} height - * @return {number} - */ -// 思路: -// 对于任意位置i -// water[i] = min( max(height[0,i]), max(height[i,end]) ) - height[i]; -var trap = function (height) { - const n = height.length; - if (n === 0) return 0; - - let res = 0; - const l_max = new Array(n).fill(0); - const r_max = new Array(n).fill(0); - // 初始化 - l_max[0] = height[0]; - r_max[n - 1] = height[n - 1]; - - // 从左往右分别计算出l_max - for (let i = 1; i < n; i++) { - l_max[i] = Math.max(height[i], l_max[i - 1]); - } - for (let i = n - 2; i >= 0; i--) { - r_max[i] = Math.max(height[i], r_max[i + 1]); - } - - for (let i = 1; i < n - 1; i++) { - res += Math.min(l_max[i], r_max[i]) - height[i]; - } - return res; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/45.\350\267\263\350\267\203\346\270\270\346\210\217-ii.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/45.\350\267\263\350\267\203\346\270\270\346\210\217-ii.md" deleted file mode 100644 index 853ec1f..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/45.\350\267\263\350\267\203\346\270\270\346\210\217-ii.md" +++ /dev/null @@ -1,64 +0,0 @@ -## [45.跳跃游戏-ii](https://leetcode.cn/problems/jump-game-ii/) medium - -动态规划解法,自顶向下 -时间复杂度 O(N^2) -空间复杂度 O(N) - -- 思路 -- 定义dp函数 dp(nums,p)表示从p跳到最后位置需要最少的步数 -- base case 当p超过最后一格时,不需要跳跃,return 0 -- for 循环中 将所有可能跳的步,全部求出来 -- 求出子问题后,返回最小值 -- 最后利用备忘录,消除重叠子问题 - -```js -// 动归(自顶向下) -var jump1 = function (nums) { - const n = nums.length; - const memo = new Array(n + 1).fill(Infinity); - // 返回从p跳到最后一格所需要的最少步数 - const dp = (p) => { - // base case - // 当p超过最后一位时,不需要跳跃 - if (p >= n - 1) return 0; - if (memo[p] !== Infinity) return memo[p]; - - let step = nums[p]; // 处于p位置时,可选择的步数 - for (let i = 1; i <= step; i++) { - // 计算每一个可选择的跳跃步数的最小次数 + 当前跳跃次数 - memo[p] = Math.min(memo[p], dp(p + i) + 1); - } - return memo[p]; - }; - - return dp(0); -}; -``` - -贪心算法 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var jump = function (nums) { - const n = nums.length; - let start = 0, - end = 0, - jumps = 0; - - // 走到最后一个位置即可,所以最后一个位置不需要jumps+1,endmedium - - -```js -/** - * @param {number[]} nums - * @param {number} target - * @return {number} - */ -var findTargetSumWays = function (nums, target) { - if (nums.length === 0) return 0; - - let memo = new Map(); - const dp = (nums, i, remain) => { - if (i === nums.length) { - // 当剩余数为0的时候,说明成功 - if (remain === 0) return 1; - // 否则失败 - return 0; - } - const key = i + "," + remain; - if (memo.has(key)) return memo.get(key); - - let res = - dp(nums, i + 1, remain - nums[i]) + dp(nums, i + 1, remain + nums[i]); - - memo.set(key, res); - return res; - }; - - return dp(nums, 0, target); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/509.\346\226\220\346\263\242\351\202\243\345\245\221\346\225\260.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/509.\346\226\220\346\263\242\351\202\243\345\245\221\346\225\260.md" deleted file mode 100644 index 0e28bc1..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/509.\346\226\220\346\263\242\351\202\243\345\245\221\346\225\260.md" +++ /dev/null @@ -1,41 +0,0 @@ -## [509.斐波那契数](https://leetcode.cn/problems/fibonacci-number/) easy - -dp数组自底向上解法 - -```js -/** - * @param {number} n - * @return {number} - */ -var fib = function (n) { - // dp[n]表示斐波那契数列上的第n个数 - let dp = new Array(n + 1).fill(0); - // base case - dp[0] = 0; - dp[2] = dp[1] = 1; - for (let i = 3; i < dp.length; i++) { - dp[i] = dp[i - 1] + dp[i - 2]; - } - return dp[n]; -}; - -``` - -备忘录解法 - -```js -var fib = function (n) { - let memo = []; - return helper(memo, n); -}; - -const helper = (memo, n) => { - if (n === 0) return 0; - if (n === 1 || n === 2) return 1; - if (memo[n] !== undefined) { - return memo[n]; - } - - return helper(memo, n - 1) + helper(memo, n - 2); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/518.\351\233\266\351\222\261\345\205\221\346\215\242-ii.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/518.\351\233\266\351\222\261\345\205\221\346\215\242-ii.md" deleted file mode 100644 index 947e3af..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/518.\351\233\266\351\222\261\345\205\221\346\215\242-ii.md" +++ /dev/null @@ -1,54 +0,0 @@ -## [518.零钱兑换-ii](https://leetcode.cn/problems/coin-change-ii/) medium - - -```js -/** - * @param {number} amount - * @param {number[]} coins - * @return {number} - */ -var change = function (amount, coins) { - const n = coins.length; - const dp = new Array(n + 1).fill().map(_ => new Array(amount + 1).fill(0)); - - // base case - for (let i = 0; i <= n; i++) { - dp[i][0] = 1; - } - - for (let i = 1; i <= n; i++) { - for (let j = 1; j <= amount; j++) { - if (j - coins[i - 1] >= 0) { - dp[i][j] = dp[i - 1][j] + dp[i][j - coins[i - 1]]; - } else { - dp[i][j] = dp[i - 1][j]; - } - } - } - return dp[n][amount]; -}; -``` - -```js -/** - * @param {number} amount - * @param {number[]} coins - * @return {number} - */ -var change = function (amount, coins) { - let n = coins.length; - let dp = Array.from({ length: amount + 1 }).fill(0); - // console.log(dp); - - // base case - dp[0] = 1; - - for (const coin of coins) { - for (let i = coin; i <= amount; i++) { - dp[i] = dp[i] + dp[i - coin]; - } - } - - return dp[amount]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/53.\346\234\200\345\244\247\345\255\220\346\225\260\347\273\204\345\222\214.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/53.\346\234\200\345\244\247\345\255\220\346\225\260\347\273\204\345\222\214.md" deleted file mode 100644 index 26d63e6..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/53.\346\234\200\345\244\247\345\255\220\346\225\260\347\273\204\345\222\214.md" +++ /dev/null @@ -1,52 +0,0 @@ -## [53.最大子数组和](https://leetcode.cn/problems/maximum-subarray/) medium - -时间复制度O(N) -空间复杂度O(N) - -- 思路(动态规划) -- 要求子数组的和的最大值 -- 要看当前值,是否要和前面的数组组合形成更大的数字 -- 或者自己成为一个单独的数组 -- dp数组,定义dp[i]表示nums[0..i]的最大和 -- 那么动态转移方程就是 -```js -dp[i] = max(dp[i - 1] + nums[i], nums[i]); -``` -- 跟[剑指Offer42.连续子数组的最大和](/js-logs/sword-point-offer#剑指-offer-42-连续子数组的最大和)相同 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var maxSubArray = function (nums) { - let dp = new Array(nums.length).fill(0); - - // base case - dp[0] = nums[0]; - let max = nums[0]; - - for (let i = 1; i < dp.length; i++) { - dp[i] = Math.max(dp[i - 1] + nums[i], nums[i]); - max = Math.max(max, dp[i]); - } - - return max; -}; - -``` - -优化空间复杂度 的dp数组解法 -空间复杂度O(1) - -```js -var maxSubArray = function (nums) { - let max = 0; - let res = -Infinity; - for (const item of nums) { - max = Math.max(max + item, item); // 计算出i位置上的最大值 - res = Math.max(max, res); // 找出[0...end]区间内 i位置上的最大值 - } - return res; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/55.\350\267\263\350\267\203\346\270\270\346\210\217.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/55.\350\267\263\350\267\203\346\270\270\346\210\217.md" deleted file mode 100644 index eac23c5..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/55.\350\267\263\350\267\203\346\270\270\346\210\217.md" +++ /dev/null @@ -1,24 +0,0 @@ -## [55.跳跃游戏](https://leetcode.cn/problems/jump-game/) medium - -这道题表面上不是求最值,但是可以改一改: -请问通过题目中的跳跃规则,最多能跳多远?如果能够越过最后一格,返回 true,否则返回 false。 - -```js -/** - * @param {number[]} nums - * @return {boolean} - */ -var canJump = function (nums) { - const n = nums.length; - - // 跳的最远距离,若长度能超过最后一格,返回true,否则返回false - let res = 0; - for (let i = 0; i < n - 1; i++) { - res = Math.max(res, i + nums[i]); - // [0,2,3] - if (res === i) return false; // 可能遇到0,跳不动了 - } - - return res >= n - 1; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/62.\344\270\215\345\220\214\350\267\257\345\276\204.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/62.\344\270\215\345\220\214\350\267\257\345\276\204.md" deleted file mode 100644 index d007df6..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/62.\344\270\215\345\220\214\350\267\257\345\276\204.md" +++ /dev/null @@ -1,23 +0,0 @@ -## [62.不同路径](https://leetcode.cn/problems/unique-paths/) medium - - -```js -/** - * @param {number} m - * @param {number} n - * @return {number} - */ -var uniquePaths = function (m, n) { - const memo = new Array(m).fill(-1).map((_) => new Array(n).fill(-1)); - - // 定义dp函数返回从0,0走到i,j的路径数量 - const dp = (i, j) => { - if (i === 0 && j === 0) return 1; - if (i < 0 || j < 0) return 0; - if (memo[i][j] !== -1) return memo[i][j]; - memo[i][j] = dp(i - 1, j) + dp(i, j - 1); - return memo[i][j]; - }; - return dp(m - 1, n - 1); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/63.\344\270\215\345\220\214\350\267\257\345\276\204-ii.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/63.\344\270\215\345\220\214\350\267\257\345\276\204-ii.md" deleted file mode 100644 index 7840563..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/63.\344\270\215\345\220\214\350\267\257\345\276\204-ii.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [63.不同路径-ii](https://leetcode.cn/problems/unique-paths-ii/) medium - - -```js -/** - * @param {number[][]} obstacleGrid - * @return {number} - */ -var uniquePathsWithObstacles = function (obstacleGrid) { - if (obstacleGrid.length === 0) return 0; - const m = obstacleGrid.length, - n = obstacleGrid[0].length; - const memo = new Array(m).fill(-1).map((_) => new Array(n).fill(-1)); - - // 定义dp函数返回从0,0走到i,j的路径数量 - const dp = (i, j) => { - // base case - // 越界和碰撞物的判断 - if (i < 0 || j < 0 || obstacleGrid[i][j] === 1) return 0; - if (i === 0 && j === 0) return 1; // 到达0,0点 - - if (memo[i][j] !== -1) return memo[i][j]; - - memo[i][j] = dp(i - 1, j) + dp(i, j - 1); - return memo[i][j]; - }; - - return dp(m - 1, n - 1); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/64.\346\234\200\345\260\217\350\267\257\345\276\204\345\222\214.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/64.\346\234\200\345\260\217\350\267\257\345\276\204\345\222\214.md" deleted file mode 100644 index 4e84361..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/64.\346\234\200\345\260\217\350\267\257\345\276\204\345\222\214.md" +++ /dev/null @@ -1,71 +0,0 @@ -## [64.最小路径和](https://leetcode.cn/problems/minimum-path-sum/) medium - -- 动态规划 -- 要想求右下角[0][0]-->[m][n]的最短路径 -- 需要先求出[m-1][n] 和 [m][n-1]的最短路径, -- 因为我们肯定要从这两个方向进去 - -```js -/** - * @param {number[][]} grid - * @return {number} - */ -// 自顶向下解法 -var minPathSum = function (grid) { - let m = grid.length, - n = grid[0].length; - - let memo = Array.from({ length: m }).map((_) => - Array.from({ length: n }).fill(-1) - ); - - // dp函数表示从0,0 坐标到 i,j的最短路径 - const dp = (grid, i, j) => { - // base case - if (i === 0 && j === 0) { - return grid[0][0]; - } - // 防止越界情况,返回一个∞,这样在比较最小值的时候不会被记录 - if (i < 0 || j < 0) { - return Infinity; - } - - if (memo[i][j] !== -1) { - return memo[i][j]; - } - - memo[i][j] = Math.min(dp(grid, i - 1, j), dp(grid, i, j - 1)) + grid[i][j]; - return memo[i][j]; - }; - - return dp(grid, m - 1, n - 1); -}; -``` - -自底向上解法 - -```js -var minPathSum = function (grid) { - let m = grid.length, - n = grid[0].length; - let dp = Array.from({ length: m }).map((_) => Array.from({ length: n })); - // base case - dp[0][0] = grid[0][0]; - - for (let i = 1; i < m; i++) { - dp[i][0] = dp[i - 1][0] + grid[i][0]; - } - - for (let j = 1; j < n; j++) { - dp[0][j] = dp[0][j - 1] + grid[0][j]; - } - - for (let i = 1; i < m; i++) { - for (let j = 1; j < n; j++) { - dp[i][j] = Math.min(dp[i - 1][j], dp[i][j - 1]) + grid[i][j]; - } - } - - return dp[m - 1][n - 1]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/740.\345\210\240\351\231\244\345\271\266\350\216\267\345\276\227\347\202\271\346\225\260.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/740.\345\210\240\351\231\244\345\271\266\350\216\267\345\276\227\347\202\271\346\225\260.md" deleted file mode 100644 index b19abd8..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/740.\345\210\240\351\231\244\345\271\266\350\216\267\345\276\227\347\202\271\346\225\260.md" +++ /dev/null @@ -1,33 +0,0 @@ -## [740.删除并获得点数](https://leetcode.cn/problems/delete-and-earn/) medium - -- 转换题目,其实就是打家劫舍问题 -- 选中任意一个之后,必须删除`nums[i-1]` 和 `nums[i]+1`其实就是不能选择相邻的元素 -- 讲原数组转化成打劫劫舍的nums -- 统计出每个值的价值,然后求出最大价值 - -```js -var deleteAndEarn = function (nums) { - // nums [3, 4, 2] - // all [0, 0, 2, 3, 4] - let max = Math.max.apply(null, nums); - let all = new Array(max + 1).fill(0); - for (const val of nums) { - all[val] += val; - } - return rob(all); -}; - -// 打家劫舍问题 -var rob = function (nums) { - const n = nums.length; - const dp = new Array(n + 1).fill(0); - - dp[0] = 0; - dp[1] = nums[0]; - for (let i = 2; i <= n; i++) { - dp[i] = Math.max(dp[i - 1], dp[i - 2] + nums[i - 1]); - } - - return dp[n]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/746.\344\275\277\347\224\250\346\234\200\345\260\217\350\212\261\350\264\271\347\210\254\346\245\274\346\242\257.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/746.\344\275\277\347\224\250\346\234\200\345\260\217\350\212\261\350\264\271\347\210\254\346\245\274\346\242\257.md" deleted file mode 100644 index d88ab24..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/746.\344\275\277\347\224\250\346\234\200\345\260\217\350\212\261\350\264\271\347\210\254\346\245\274\346\242\257.md" +++ /dev/null @@ -1,34 +0,0 @@ -## [746.使用最小花费爬楼梯](https://leetcode.cn/problems/min-cost-climbing-stairs/) easy - -- 自顶向下(递归) -- 思路 -- dp(i) 表示到达i的最小花费 -- 那么动态转移方程就是,前一个台阶或者前两个台阶+当前台阶的花费 -- dp(i) = min(dp(i-1),dp(i-2)) + cost[i]; -- base case -- 0台阶的最小花费就是cost[0] -- 1台阶的最小花费就是 直接走到1台阶,那么就是cost[1]; -- 然而最后走到i台阶可以有两种方式,跨一步或者跨两步,所以需要比较这两种方案,取最小值 - -```js -/** - * @param {number[]} cost - * @return {number} - */ -var minCostClimbingStairs = function (cost) { - const n = cost.length; - const memo = new Array(n).fill(-1); - - const dp = (i) => { - // base case - if (i <= 1) return cost[i]; - - if (memo[i] !== -1) return memo[i]; - - memo[i] = Math.min(dp(i - 1), dp(i - 2)) + cost[i]; - - return memo[i]; - }; - return Math.min(dp(n - 1), dp(n - 2)); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/877.\347\237\263\345\255\220\346\270\270\346\210\217.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/877.\347\237\263\345\255\220\346\270\270\346\210\217.md" deleted file mode 100644 index eb8e0c8..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/877.\347\237\263\345\255\220\346\270\270\346\210\217.md" +++ /dev/null @@ -1,46 +0,0 @@ -## [877.石子游戏](https://leetcode.cn/problems/stone-game/) medium - - -```js -/** - * @param {number[]} piles - * @return {boolean} - */ -var stoneGame = function (piles) { - let n = piles.length; - let dp = Array.from({ length: n }).map((_) => Array.from({ length: n })); - for (let i = 0; i < n; i++) { - for (let j = 0; j < n; j++) { - dp[i][j] = { - fir: 0, - sec: 0, - }; - } - } - - // base case - for (let i = 0; i < n; i++) { - dp[i][i].fir = piles[i]; - dp[i][i].sec = 0; - } - - // console.log(dp); - - for (let i = n - 2; i >= 0; i--) { - for (let j = i + 1; j < n; j++) { - let left = piles[i] + dp[i + 1][j].sec; - let right = piles[j] + dp[i][j - 1].sec; - if (left > right) { - dp[i][j].fir = left; - dp[i][j].sec = dp[i + 1][j].fir; - } else { - dp[i][j].fir = right; - dp[i][j].sec = dp[i][j - 1].fir; - } - } - } - - let res = dp[0][n - 1]; - return res.fir > res.sec ? true : false; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/887.\351\270\241\350\233\213\346\216\211\350\220\275.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/887.\351\270\241\350\233\213\346\216\211\350\220\275.md" deleted file mode 100644 index 85eeab3..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/887.\351\270\241\350\233\213\346\216\211\350\220\275.md" +++ /dev/null @@ -1,87 +0,0 @@ -## [887.鸡蛋掉落](https://leetcode.cn/problems/super-egg-drop/) hard - -dp递归 -时间复杂度 O(kn^2) -空间复杂度 O(kn) - -```js -/** - * @param {number} k - * @param {number} n - * @return {number} - */ -var superEggDrop = function (k, n) { - let memo = new Map(); // 备忘录消除重叠子问题 - - // 表示当鸡蛋为k,楼层为n时,最小的操作次数 - function dp(k, n) { - // base case - if (k === 1) return n; // 就一个鸡蛋,需要线性查找,所以返回楼层n - if (n === 0) return 0; // 楼层为0,不需要操作 - - if (memo.has(k + "" + n)) { - return memo.get(k + "" + n); - } - - let res = Infinity; - for (let i = 1; i <= n; i++) { - res = Math.min( - res, - Math.max( - dp(k - 1, i - 1), // 碎了 - dp(k, n - i) // 没碎 - ) + 1 - ); - } - - memo.set(k + "" + n, res); - return res; - } - - return dp(k, n); -}; -``` - -dp递归+二分查找 -时间复杂度 O(k * n * logn) -空间复杂度 O(kn) - -```js -var superEggDrop = function (k, n) { - let memo = new Map(); // 备忘录消除重叠子问题 - - // 表示当鸡蛋为k,楼层为n时,最小的操作次数 - function dp(k, n) { - // base case - if (k === 1) return n; // 就一个鸡蛋,需要线性查找,所以返回楼层n - if (n === 0) return 0; // 楼层为0,不需要操作 - - if (memo.has(k + "" + n)) { - return memo.get(k + "" + n); - } - - let res = Infinity; - let lo = 1, - hi = n; - while (lo <= hi) { - let mid = Math.floor((lo + hi) / 2); - let broken = dp(k - 1, mid - 1); // 碎了 - let noBroken = dp(k, n - mid); // 没碎 - // res = min(max(borken,noBroken) + 1); - // 如果碎的结果比较多,直接从碎的结果里面求最小操作次树即可,因为我们要考虑的是最坏情况下 - if (broken > noBroken) { - hi = mid - 1; - res = Math.min(res, broken + 1); - } else { - lo = mid + 1; - res = Math.min(res, noBroken + 1); - } - } - - memo.set(k + "" + n, res); - return res; - } - - return dp(k, n); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/91.\350\247\243\347\240\201\346\226\271\346\263\225.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/91.\350\247\243\347\240\201\346\226\271\346\263\225.md" deleted file mode 100644 index 879653c..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/91.\350\247\243\347\240\201\346\226\271\346\263\225.md" +++ /dev/null @@ -1,37 +0,0 @@ -## [91.解码方法](https://leetcode.cn/problems/decode-ways/) medium - - -- 状态转移关系: - - s[i] 本身可能表示一个字母,这种情况下解码数量为 numDecodings(s[0..i-1]) - - s[i] 可能和 s[i - 1] 结合起来表示一个字母,这种情况下解码数量为 numDecodings(s[0..i-2]) -状态转移方程: - -``` -numDecodings(s) = numDecodings(s[0:-1]) + numDecodings(s[0:-2]) -``` - -根据这个状态转移关系,可定义递归的 dp 函数或者迭代的 dp 数组求解,我使用自底向上迭代的求解方法。 - -```js -/** - * @param {TreeNode} root - * @return {number[][]} - */ -var levelOrderBottom = function (root) { - if (!root) return []; - const q = [root]; - const res = []; - - while (q.length) { - let levelRes = []; - for (let i = 0, len = q.length; i < len; i++) { - const node = q.shift(); - levelRes.push(node.val); - node.left && q.push(node.left); - node.right && q.push(node.right); - } - res.unshift(levelRes); - } - return res; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/918.\347\216\257\345\275\242\345\255\220\346\225\260\347\273\204\347\232\204\346\234\200\345\244\247\345\222\214.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/918.\347\216\257\345\275\242\345\255\220\346\225\260\347\273\204\347\232\204\346\234\200\345\244\247\345\222\214.md" deleted file mode 100644 index 1dd279b..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/918.\347\216\257\345\275\242\345\255\220\346\225\260\347\273\204\347\232\204\346\234\200\345\244\247\345\222\214.md" +++ /dev/null @@ -1,29 +0,0 @@ -## [918.环形子数组的最大和](https://leetcode.cn/problems/maximum-sum-circular-subarray/) medium - -[题解](https://leetcode.cn/problems/maximum-sum-circular-subarray/solution/wo-hua-yi-bian-jiu-kan-dong-de-ti-jie-ni-892u/) - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var maxSubarraySumCircular = function (nums) { - let total = 0, // 综合 - curMax = 0, - max = -Infinity, - curMin = 0, - min = Infinity; - - for (const item of nums) { - curMax = Math.max(curMax + item, item); - max = Math.max(max, curMax); - - curMin = Math.min(curMin + item, item); - min = Math.min(min, curMin); - - total += item; - } - - return max > 0 ? Math.max(max, total - min) : max; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/931.\344\270\213\351\231\215\350\267\257\345\276\204\346\234\200\345\260\217\345\222\214.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/931.\344\270\213\351\231\215\350\267\257\345\276\204\346\234\200\345\260\217\345\222\214.md" deleted file mode 100644 index fe81414..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/931.\344\270\213\351\231\215\350\267\257\345\276\204\346\234\200\345\260\217\345\222\214.md" +++ /dev/null @@ -1,46 +0,0 @@ -## [931.下降路径最小和](https://leetcode.cn/problems/minimum-falling-path-sum/) medium - -时间复杂度 O(MN) -空间复杂度 O(MN) - -- 思路 -- 对于[i,j] 可能从 [i-1,i], [i-1,j-1], [i-1,j+1]三个位置来 -- 那么从底部向上推 -- 定义dp(i,j) 表示从(0,..)位置到(i,j)的最小路径和 -- 动态转移方程:`dp(i,j) = [i,j] + min([i-1,j], [i-1,j-1], [i-1,j+1])` - -```js -/** - * @param {number[][]} matrix - * @return {number} - */ -var minFallingPathSum = function (matrix) { - const m = matrix.length, - n = matrix[0].length; - const memo = new Array(m).fill(0).map((_) => new Array(n).fill(-1)); - - // 返回从(0,j)出发到(i,j)的最小路径和 - const dp = (i, j) => { - // 越界处理 - if (i < 0 || j < 0 || i >= m || j >= n) return Infinity; - // base case - // 当到达第一排,返回的就是第一排的值 - if (i === 0) return matrix[0][j]; - - if (memo[i][j] !== -1) return memo[i][j]; - - // 可能是从上面,左上和右上来的 - memo[i][j] = - matrix[i][j] + Math.min(dp(i - 1, j), dp(i - 1, j - 1), dp(i - 1, j + 1)); - - return memo[i][j]; - }; - - let res = Infinity; - // 终点可能在最后一排(n-1)的任意一个位置 - for (let j = 0; j < n; j++) { - res = Math.min(res, dp(n - 1, j)); - } - return res; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/97.\344\272\244\351\224\231\345\255\227\347\254\246\344\270\262.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/97.\344\272\244\351\224\231\345\255\227\347\254\246\344\270\262.md" deleted file mode 100644 index 8ba1a44..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/97.\344\272\244\351\224\231\345\255\227\347\254\246\344\270\262.md" +++ /dev/null @@ -1,46 +0,0 @@ -## [97.交错字符串](https://leetcode.cn/problems/interleaving-string/) medium - - -```js -/** - * @param {string} s1 - * @param {string} s2 - * @param {string} s3 - * @return {boolean} - */ -var isInterleave = function (s1, s2, s3) { - const s1Len = s1.length, - s2Len = s2.length; - // 当s1+s2的长度与s3的长度不相等,直接返回false - if (s1Len + s2Len !== s3.length) return false; - - // -1表示未计算,1表示true,0表示false - const memo = new Array(s1Len + 1) - .fill(-1) - .map((_) => new Array(s2Len + 1).fill(-1)); - - // 定义dp(i,j)返回 s1[i,..] s2[j,...] 能否组成dp[i+j,...] - const dp = (i, j) => { - let k = i + j; - // base case - // 当s3 已经构造完成 - if (k === s3.length) return true; - - if (memo[i][j] !== -1) return memo[(i, j)] === 1 ? true : false; - - let res = false; - // 当s1的开头可以满足s3的开头,填入s1试一下 - if (i < s1.length && s1[i] === s3[k]) { - res = dp(i + 1, j); - } - // 当s2的开头可以满足s3的开头,填入s2试一下 - if (j < s2.length && s2[j] === s3[k]) { - res = res || dp(i, j + 1); // 当s1的结果已经满足,就可以跳过s2了 - } - memo[i][j] = res ? 1 : 0; - return memo[i][j]; - }; - - return dp(0, 0); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207Offer10-II.\351\235\222\350\233\231\350\267\263\345\217\260\351\230\266\351\227\256\351\242\230.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207Offer10-II.\351\235\222\350\233\231\350\267\263\345\217\260\351\230\266\351\227\256\351\242\230.md" deleted file mode 100644 index 29d51a2..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207Offer10-II.\351\235\222\350\233\231\350\267\263\345\217\260\351\230\266\351\227\256\351\242\230.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [剑指 Offer 10- II. 青蛙跳台阶问题](https://leetcode.cn/problems/qing-wa-tiao-tai-jie-wen-ti-lcof/) easy - -- 思路(动态规划) -- 跟fib类型 -- 动态转移方程`dp(n) = dp(n - 1) + dp(n - 2)` -- 跟[70题](https://leetcode-cn.com/problems/climbing-stairs/)相同 - -```js -/** - * @param {number} n - * @return {number} - */ -var numWays = function (n) { - const memo = new Array(n + 1).fill(-1); - // 定义到n台阶的方法 - const dp = (n) => { - // base case - if (n === 0) return 1; - if (n <= 2) return n; - - if (memo[n] !== -1) return memo[n]; - - memo[n] = (dp(n - 1) + dp(n - 2)) % 1000000007; // 防止溢出 - return memo[n]; - - // // n台阶的方法等于 (n-1)的方法 + (n-2)的方法 - // return dp(n - 1) + dp(n - 2); - } - return dp(n); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII091.\347\262\211\345\210\267\346\210\277\345\255\220.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII091.\347\262\211\345\210\267\346\210\277\345\255\220.md" deleted file mode 100644 index 6a47896..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII091.\347\262\211\345\210\267\346\210\277\345\255\220.md" +++ /dev/null @@ -1,47 +0,0 @@ -## [剑指 Offer II 091. 粉刷房子](https://leetcode.cn/problems/JEj789/) medium - -跟[256题](https://leetcode-cn.com/problems/paint-house/)相同 - -- 这道题有些类似 最长递增子序列 和 最大子数组和,因为它们定义 dp 数组的方式都是「以 xx 结尾的最值是 dp[i]」。 -- 这道题对 dp 数组的定义是: - - 当第 i 个房子粉刷颜色 j 时,粉刷 [0..i] 这些房子所需的最少花费为 dp[i][j]。 -- 有了这个定义,题目想求的答案就是 `sum(dp[n-1][..])`。 -- 又因为题目说相同的颜色不能相邻,所以状态转移方程为: - -``` -// 颜色 0 只能挨着颜色 1 或颜色 2 -dp[i][0] = min(dp[i - 1][1], dp[i - 1][2]) + costs[i][0]; -// 颜色 1 只能挨着颜色 0 或颜色 2 -dp[i][1] = min(dp[i - 1][0], dp[i - 1][2]) + costs[i][1]; -// 颜色 2 只能挨着颜色 0 或颜色 1 -dp[i][2] = min(dp[i - 1][0], dp[i - 1][1]) + costs[i][2]; -``` - -```js -/** - * @param {number[][]} costs - * @return {number} - */ -var minCost = function (costs) { - const n = costs.length; - // 定义dp数组 - // dp[i][j]表示[0...i]号房子,粉成0,1,2号颜色所需最少成本 - const dp = new Array(n).fill(0).map((_) => [0, 1, 2]); - // base case - // 第0排花费的最少成本就是costs[0][j] - dp[0] = costs[0]; - - for (let i = 1; i < n; i++) { - // dp[i]的最小成本 = dp[i-1]的最小成本+当前层的成本 - // 因为相邻颜色不能相同,所以0颜色,只能选1,2颜色的最小成本 + 当前颜色成本 - dp[i][0] = Math.min(dp[i - 1][1], dp[i - 1][2]) + costs[i][0]; - dp[i][1] = Math.min(dp[i - 1][0], dp[i - 1][2]) + costs[i][1]; - dp[i][2] = Math.min(dp[i - 1][0], dp[i - 1][1]) + costs[i][2]; - } - - // 找出[0...i]号房子中花费最少的成本 - const res = Math.min.call(null, ...dp[n - 1]); - return res; -}; - -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII097.\345\255\220\345\272\217\345\210\227\347\232\204\346\225\260\347\233\256.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII097.\345\255\220\345\272\217\345\210\227\347\232\204\346\225\260\347\233\256.md" deleted file mode 100644 index bfd428d..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII097.\345\255\220\345\272\217\345\210\227\347\232\204\346\225\260\347\233\256.md" +++ /dev/null @@ -1,39 +0,0 @@ -## [剑指 Offer II 097. 子序列的数目](https://leetcode.cn/problems/21dk04/) hard - -跟[115题](https://leetcode-cn.com/problems/distinct-subsequences/)相同 - -```js -/** - * @param {string} s - * @param {string} t - * @return {number} - */ -var numDistinct = function (s, t) { - // 以s视角出发,寻找子序列的个数 - const m = s.length, - n = t.length; - const memo = new Array(m + 1).fill(-1).map((_) => new Array(n + 1).fill(-1)); - - // 定义dp(i,j) - // 返回[i,...]中 子序列t[j,...]的数量 - const dp = (i, j) => { - // base case - if (j === n) return 1; // 就走到头,匹配一个子序列 - if (n - j > m - i) return 0; // t的剩余长度大于s,说明不匹配,直接返回0 - if (memo[i][j] !== -1) return memo[i][j]; - - let res = 0; - if (s[i] === t[j]) { - // aab,ab => a_b , _ab - res += dp(i + 1, j + 1) + dp(i + 1, j); - } else { - // 如果s[i]!==t[j],i继续往后走,跟t[j]进行尝试匹配 - res += dp(i + 1, j); - } - memo[i][j] = res; - return res; - }; - - return dp(0, 0); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII098.\350\267\257\345\276\204\347\232\204\346\225\260\347\233\256.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII098.\350\267\257\345\276\204\347\232\204\346\225\260\347\233\256.md" deleted file mode 100644 index 59b811f..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII098.\350\267\257\345\276\204\347\232\204\346\225\260\347\233\256.md" +++ /dev/null @@ -1,32 +0,0 @@ -## [剑指 Offer II 098. 路径的数目](https://leetcode.cn/problems/2AoeFn/) medium - -跟[62题](https://leetcode-cn.com/problems/unique-paths/)相同 - -```js -/** - * @param {number} m - * @param {number} n - * @return {number} - */ -var uniquePaths = function (m, n) { - const memo = new Array(m + 1).fill(-1).map((_) => new Array(n).fill(-1)); - - // 定义dp(i,j) - // 返回0,0走到i,j的路径数量 - const dp = (i, j) => { - // base case - if (i === 0 && j === 0) return 1; - if (i < 0 || j < 0) return 0; - if (memo[i][j] !== -1) return memo[i][j]; - - // i,j点的数量和 = 到达左边的数量 + 到达上面的数量 - // dp(i,j)= dp(i-1,j) 的数量+dp(i,j-1)的数量 - memo[i][j] = dp(i - 1, j) + dp(i, j - 1); - - return memo[i][j]; - }; - - return dp(m - 1, n - 1); -}; - -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII103.\346\234\200\345\260\221\347\232\204\347\241\254\345\270\201\346\225\260\347\233\256.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII103.\346\234\200\345\260\221\347\232\204\347\241\254\345\270\201\346\225\260\347\233\256.md" deleted file mode 100644 index 92b6669..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\211\221\346\214\207OfferII103.\346\234\200\345\260\221\347\232\204\347\241\254\345\270\201\346\225\260\347\233\256.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [剑指 Offer II 103. 最少的硬币数目](https://leetcode.cn/problems/gaM7Ch/) medium - -跟[322题](https://leetcode-cn.com/problems/coin-change/)相同 - -```js -/** - * @param {number[]} coins - * @param {number} amount - * @return {number} - */ -var coinChange = function (coins, amount) { - const memo = []; - // 定义dp(n)可以返回amount为n时,所需要的最少硬币数量 - function dp(n) { - if (n === 0) return 0; - if (n < 0) return -1; - if (memo[n] !== undefined) return memo[n]; - let res = Infinity; - for (const coin of coins) { - const subProblem = dp(n - coin); - if (subProblem === -1) continue; - res = Math.min(res, 1 + subProblem); - } - memo[n] = res === Infinity ? -1 : res; - return memo[n]; - } - - return dp(amount); -}; - -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/1143.\346\234\200\351\225\277\345\205\254\345\205\261\345\255\220\345\272\217\345\210\227.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/1143.\346\234\200\351\225\277\345\205\254\345\205\261\345\255\220\345\272\217\345\210\227.md" deleted file mode 100644 index 7c66e18..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/1143.\346\234\200\351\225\277\345\205\254\345\205\261\345\255\220\345\272\217\345\210\227.md" +++ /dev/null @@ -1,76 +0,0 @@ -### [1143.最长公共子序列](https://leetcode.cn/problems/longest-common-subsequence/) medium - -时间复杂度 O(N^2) -空间复杂度 O(M * N) - -思路 -- 1.先定义dp函数的意义 - - 这里的dp(s1,i,s2,j)返回的是s1\[i...]和s2\[j...]的最长公共子序列数 -- 2.考虑每个字符串的情况,找到动态转移方程 - - 如果i== len(s1) || j == len(s2)时,那么说明s1,s2是空串,直接返回0,这是base case - - 若s1\[i]==s2\[j],那么说明有一个子串了,i和j的指针后移一位,1 + dp(s1,i+1,s2,j+1); - - 若不相等时,有三种情况,分别是 - - 情况1,dp(s1,i+1,s2,j); - - 情况2,dp(s1,i,s2,j+1); - - 情况3,dp(s1,i+1,s2,j+1); - - 因为求的是最大值,我们找出这三种情况中的最大值即可Max(情况1,情况2,情况3) -- 3.使用memo消除重叠子问题 - - 创建一个二维数组,存放计算过的结果 - - 这里情况3,其实也可以省略计算 - - 因为我们要求的是最大值,情况1和情况2得出的值,肯定要比情况3的大,也就是说,情况1,2包含了情况3 - -```js -/** - * @param {string} text1 - * @param {string} text2 - * @return {number} - */ -var longestCommonSubsequence = function (text1, text2) { - const m = text1.length, n = text2.length; - const memo = new Array(m + 1).fill().map(_ => new Array(n + 1).fill(-1)); - - // 返回text1[i..] text2[j..] 的最长子序列 - const dp = (i, j) => { - if (i === m || j === n) return 0; - - if (memo[i][j] !== -1) return memo[i][j]; - - if (text1[i] === text2[j]) { - memo[i][j] = 1 + dp(i + 1, j + 1); - } else { - memo[i][j] = Math.max( - // dp(i + 1, j + 1), - dp(i + 1, j), - dp(i, j + 1)); - } - return memo[i][j]; - } - - return dp(0, 0); -}; - -``` - -自底向上-dp数组 - -```js -var longestCommonSubsequence = function (text1, text2) { - const m = text1.length, n = text2.length; - // 定义dp - // dp[i][j] 返回text1[0..i-1],text2[0..j-1]的最长子序列 - const dp = new Array(m + 1).fill().map(_ => new Array(n + 1).fill(0)); - // base case [0][j]、[i][0] 返回0 - - for (let i = 1; i <= m; i++) { - for (let j = 1; j <= n; j++) { - // i,j从1开始,索引从0开始,所以要-1 - if (text1[i - 1] === text2[j - 1]) { - dp[i][j] = 1 + dp[i - 1][j - 1]; - } else { - dp[i][j] = Math.max(dp[i][j - 1], dp[i - 1][j]); - } - } - } - return dp[m][n]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/1425.\345\270\246\351\231\220\345\210\266\347\232\204\345\255\220\345\272\217\345\210\227\345\222\214.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/1425.\345\270\246\351\231\220\345\210\266\347\232\204\345\255\220\345\272\217\345\210\227\345\222\214.md" deleted file mode 100644 index f9389df..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/1425.\345\270\246\351\231\220\345\210\266\347\232\204\345\255\220\345\272\217\345\210\227\345\222\214.md" +++ /dev/null @@ -1,31 +0,0 @@ -### [1425.带限制的子序列和](https://leetcode.cn/problems/constrained-subsequence-sum/) hard - -基础动态规划 -时间复杂度高O(M * k) M表示数组长度 - -```js -/** - * @param {number[]} nums - * @param {number} k - * @return {number} - */ -var constrainedSubsetSum = function (nums, k) { - const len = nums.length; - if (len === 0) return 0; - const dp = new Array(len).fill(-Infinity); - - // base case - dp[0] = nums[0]; - - for (let i = 1; i < len; i++) { - dp[i] = nums[i]; // base case - for (let t = 1; t <= k; t++) { - const j = i - t; // 区间[i-k,i] 的值都可以使用 - if (j < 0) break; // 越界处理 - dp[i] = Math.max(dp[i], dp[j] + nums[i]); // 转移方程 - } - } - // 返回最值 - return Math.max.apply(null, dp); -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/300.\346\234\200\351\225\277\351\200\222\345\242\236\345\255\220\345\272\217\345\210\227.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/300.\346\234\200\351\225\277\351\200\222\345\242\236\345\255\220\345\272\217\345\210\227.md" deleted file mode 100644 index edb3c9b..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/300.\346\234\200\351\225\277\351\200\222\345\242\236\345\255\220\345\272\217\345\210\227.md" +++ /dev/null @@ -1,71 +0,0 @@ -### [300.最长递增子序列](https://leetcode.cn/problems/longest-increasing-subsequence/) medium - -时间复杂度O(N^2) -- 动态规划 -- dp[i] 表示nums 前i个元素的最长递增子序列数 -- base case:全部初始化为1,因为前i个元素至少为1 -- 动态转移方程 dp[i] = max(dp[i], xxx); -- 最后根据dp数组找出nums.length中最大的那个值 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -// 动态规划标准解法 -var lengthOfLIS = function (nums) { - // 定义dp[i]表示已nums[i]结尾的最长递增子序列的个数 - // 初始化设置为1,表示至少包含自己元素 - let dp = new Array(nums.length).fill(1); - - for (let i = 0; i < nums.length; i++) { - // 假设dp[0...i-1]已经有值,想办法求出dp[i] - // 找出比nums[i]小的值,给这些 比nums[i]小的值 都加上+1,其中最大值为dp[i]的值 - for (let j = 0; j < i; j++) { - if (nums[j] < nums[i]) { - dp[i] = Math.max(dp[i], dp[j] + 1); - } - } - } - - // dp[0...i]已经计算完毕,求出其中的最大值 - let res = 0; - for (const item of dp) { - res = Math.max(res, item); - } - return res; -}; - -``` - -时间复杂度O(N*logN) -耐心排序(patience sorting)解法 - -```js -var lengthOfLIS1 = function (nums) { - let top = new Array(nums.length); // 牌顶的牌 - let p = 0; // 牌堆的数量 - for (let i = 0; i < nums.length; i++) { - const current = nums[i]; - - // 设置左右边界 右边界为牌堆的数量 - let left = 0, - right = p; - while (left < right) { - let mid = Math.floor((left + right) / 2); - if (top[mid] > current) { - right = mid; // 缩小right - } else if (top[mid] < current) { - left = mid + 1; // 缩小left - } else if (top[mid] === current) { - right = mid; - } - } - - // 如果没找到合适的牌,新建一堆 - if (left === p) p++; - top[left] = current; - } - return p; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/5.\346\234\200\351\225\277\345\233\236\346\226\207\345\255\220\344\270\262.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/5.\346\234\200\351\225\277\345\233\236\346\226\207\345\255\220\344\270\262.md" deleted file mode 100644 index 6a37090..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/5.\346\234\200\351\225\277\345\233\236\346\226\207\345\255\220\344\270\262.md" +++ /dev/null @@ -1,40 +0,0 @@ -### [5.最长回文子串](https://leetcode.cn/problems/longest-palindromic-substring/) medium - -时间复杂度 O(N^2) -空间复杂度 O(1) -- 思路 -- 回文指的就是正反念都一样的串 -- 我们可以根据这个特性使用左右指针共同向外扩散,来判断是否为一个回文串 -- 我们还要考虑到,回文串长度的奇偶性 -- 这里我们先编写一个函数,函数返回回文串,这里使用l,r两个函数,兼容了奇偶的情况 -- 然后遍历这个字符串,分别找奇数情况(i,i)下的回文串,和偶数情况(i,i+1)下的回文串 -- 然后保留最长的那一个回文串返回即可 - -```js -/** - * @param {string} s - * @return {string} - */ -var longestPalindrome = function (s) { - let res = ""; - - // 返回以l,r为中心的回文子串 - const help = (l, r) => { - while (l >= 0 && r < s.length && s[l] === s[r]) { - l--; - r++; - } - // 退出循环时,[l-1,r+1] - // substring是[i,j) ,所以l要+1 - return s.substring(l + 1, r); - } - - for (let i = 0; i < s.length; i++) { - let palindrome1 = help(i, i); // 以i为中心点的回文串 - let palindrome2 = help(i, i + 1); // 以[i,i+1]为中心点的回文子串 - res = palindrome1.length > res.length ? palindrome1 : res; - res = palindrome2.length > res.length ? palindrome2 : res; - } - return res; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/516.\346\234\200\351\225\277\345\233\236\346\226\207\345\255\220\345\272\217\345\210\227.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/516.\346\234\200\351\225\277\345\233\236\346\226\207\345\255\220\345\272\217\345\210\227.md" deleted file mode 100644 index 46f0267..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/516.\346\234\200\351\225\277\345\233\236\346\226\207\345\255\220\345\272\217\345\210\227.md" +++ /dev/null @@ -1,40 +0,0 @@ -### [516.最长回文子序列](https://leetcode.cn/problems/longest-palindromic-subsequence/) medium - -- 思路 -- 定义dp数组 - - 在子串s[i..j]中,最长的回文子序列为dp[i][j]; -- 动态转移方程 -```js -if(s[i]==s[j]) dp[i][j] = dp[i+1][j-1]+2; // i,j是相等的 +2,然后i,j向内靠拢 -else dp[i][j] = max(dp[i+1][j],dp[i][j-1]); //取[i+1..j] [i..j+1]中较长的 -``` -- base case - - 1个字符也是回文子序列,所以[i][i]为1 -- 注意遍历方向 - - 观察动态转移方程`dp[i][j] = dp[i+1][j-1]+2`; - - i = i+1,而i是从0-->i,所以i要倒着遍历,才能计算出i+1 - - j=j-1; j是0 <-- j;所以j要从i+1开始,才能计算出j-1 - -```js -var longestPalindromeSubseq = function (s) { - const n = s.length; - if (n === 1) return 1; - // 定义dp - // 返回[i..j]的最长回文子串 - const dp = new Array(n).fill().map(_ => new Array(n).fill(0)); - - for (let i = n - 1; i >= 0; i--) { - // base case - dp[i][i] = 1; // 自身位置就是自己,所以为1 - for (let j = i + 1; j < n; j++) { - if (s[i] === s[j]) { - dp[i][j] = dp[i + 1][j - 1] + 2; - } else { - dp[i][j] = Math.max(dp[i + 1][j], dp[i][j - 1]); - } - } - } - - return dp[0][n - 1]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/72.\347\274\226\350\276\221\350\267\235\347\246\273.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/72.\347\274\226\350\276\221\350\267\235\347\246\273.md" deleted file mode 100644 index 6db6b73..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\345\255\220\345\272\217\345\210\227\347\261\273\345\236\213/72.\347\274\226\350\276\221\350\267\235\347\246\273.md" +++ /dev/null @@ -1,86 +0,0 @@ -### [72.编辑距离](https://leetcode.cn/problems/edit-distance/) hard - -动态规划(子序列类型问题) -- 思路 -- 穷举出每一个动作所需要的操作数,取操作次数最小的动作 -- 定义i,j两个指针,从后向前去比较字符 -- 共有四种情况 -- 1.i、j位置上的元素相同,不需要操作 -- 2.i位置后面需要插入j,这个时候i不变,j的位置-1 -- 3.i位置需要删除,这个时候i-1,j不变 -- 4.i位置需要替换成j,这个时候i,j都需要-1 -- base case -- 当有一方走到-1即表示到头,则需要把另一方的元素删除掉 -- if (i === -1) return j + 1; // 当i走到头,需要删除j的剩余元素,删除次数是j+1次 -- if (j === -1) return i + 1; // 同理 - -```js -/** - * @param {string} word1 - * @param {string} word2 - * @return {number} - */ -// 从上向下递归+备忘录消除子问题 -var minDistance = function (word1, word2) { - const len1 = word1.length, - len2 = word2.length; - const memo = new Array(len1).fill(0).map((_) => new Array(len2).fill(-1)); // 初始化memo数组,设置-1为标识 - - // 定义dp(i,j)函数返回word1[0,i],转成word2[0,j]的最小操作次数 - const dp = (i, j) => { - // base case - if (i === -1) return j + 1; // 当i走到头,需要删除j的剩余元素,删除次数是j+1次 - if (j === -1) return i + 1; // 同理 - if (memo[i][j] !== -1) return memo[i][j]; - - if (word1[i] === word2[j]) { - memo[i][j] = dp(i - 1, j - 1); // 元素相等不需要操作,指针同时前进 - } else { - memo[i][j] = Math.min( - dp(i, j - 1) + 1, // 插入 - dp(i - 1, j) + 1, // 删除 - dp(i - 1, j - 1) + 1 // 替换 - ); - } - return memo[i][j]; - }; - - return dp(len1 - 1, len2 - 1); -}; - -``` - -自底向上-dp数组 - -```js -var minDistance = function (word1, word2) { - const m = word1.length, n = word2.length; - // dp[i][j]存储s1[0..i-1]->s2[0..j-1]的最少次数 - const dp = new Array(m + 1).fill().map(_ => new Array(n + 1).fill(0)); - // base case - // i|j 走到头了,返回的就是剩下(i|j)的数量 - for (let i = 1; i <= m; i++) { - dp[i][0] = i; - } - for (let j = 1; j <= n; j++) { - dp[0][j] = j; - } - - for (let i = 1; i <= m; i++) { - for (let j = 1; j <= n; j++) { - if (word1[i - 1] === word2[j - 1]) { - // 跳过 - dp[i][j] = dp[i - 1][j - 1]; - } else { - dp[i][j] = Math.min( - dp[i][j - 1] + 1, // 插入 - dp[i - 1][j] + 1, // 删除 - dp[i - 1][j - 1] + 1, // 替换 - ) - } - } - } - - return dp[m][n]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/121.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/121.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272.md" deleted file mode 100644 index 29e6799..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/121.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272.md" +++ /dev/null @@ -1,72 +0,0 @@ -### [121.买卖股票的最佳时机](https://leetcode.cn/problems/best-time-to-buy-and-sell-stock/) medium - -121:只能交易一次 -``` -dp[i][1][0] = max(dp[i-1][1][0], dp[i-1][1][1] + prices[i]) -dp[i][1][1] = max(dp[i-1][1][1], dp[i-1][0][0] - prices[i]) - = max(dp[i-1][1][1], -prices[i]) -解释:k = 0 的 base case,所以 dp[i-1][0][0] = 0。 - -现在发现 k 都是 1,不会改变,即 k 对状态转移已经没有影响了。 -可以进行进一步化简去掉所有 k: -dp[i][0] = max(dp[i-1][0], dp[i-1][1] + prices[i]) -dp[i][1] = max(dp[i-1][1], -prices[i]) -``` - -[题解](https://labuladong.github.io/algo/3/28/96/) - - -```js -/** - * @param {number[]} prices - * @return {number} - */ -var maxProfit = function (prices) { - const n = prices.length; - // 定义dp - // dp[i][0,1] 0 <= i <= n-1 | 0表示未持有,1表示持有 - // 表示第i天,持有、未持有的最大利润 - const dp = new Array(n).fill(0).map((_) => new Array(2).fill(0)); - // base case - // -1表示还没开始 - // 0 => 未持有就是 最大利润就是0 - // 1 => 持有,最后求最大值,方便比较给一个 -Infinity - dp[-1] = [0, -Infinity]; - - for (let i = 0; i < n; i++) { - // 解释:今天要 未持有,有两种组状态可以选择出最大利润 - // 可以选择 max(昨天未持有的利润 或 将昨天持有的售出) - dp[i][0] = Math.max(dp[i - 1][0], dp[i - 1][1] + prices[i]); - - // 今天要 持有,有两种状态可以选择出最大利润 - // 可以选择 Max(昨天持有的利润 或 进行买入 ) - dp[i][1] = Math.max(dp[i - 1][1], -prices[i]); - } - - return dp[n - 1][0]; // 返回最后一天未持有的最大利润 -}; - -``` - -优化空间复杂度 - -```js -var maxProfit = function (prices) { - const n = prices.length; - // 定义dp - let dp_i_0 = 0, - dp_i_1 = -Infinity; - - for (let i = 0; i < n; i++) { - // 解释:今天要 未持有,有两种组状态可以选择出最大利润 - // 可以选择 max(昨天未持有的利润 或 将昨天持有的售出) - dp_i_0 = Math.max(dp_i_0, dp_i_1 + prices[i]); - - // 今天要 持有,有两种状态可以选择出最大利润 - // 可以选择 Max(昨天持有的利润 或 进行买入 ) - dp_i_1 = Math.max(dp_i_1, -prices[i]); - } - - return dp_i_0; // 返回最后一天未持有的最大利润 -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/122.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272-ii.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/122.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272-ii.md" deleted file mode 100644 index 4762516..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/122.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272-ii.md" +++ /dev/null @@ -1,76 +0,0 @@ -### [122.买卖股票的最佳时机-ii](https://leetcode.cn/problems/best-time-to-buy-and-sell-stock-ii/) medium - -122:不限制交易次数 - -``` -base case: -dp[-1][...][0] = dp[...][0][0] = 0 -dp[-1][...][1] = dp[...][0][1] = -infinity - -状态转移方程: -dp[i][k][0] = max(dp[i-1][k][0], dp[i-1][k][1] + prices[i]) -dp[i][k][1] = max(dp[i-1][k][1], dp[i-1][k-1][0] - prices[i]) - -相对于121题,122不限制k的交易次数所以: k-1 和 k 是一样的 -dp[i][k][0] = max(dp[i-1][k][0], dp[i-1][k][1] + prices[i]) -dp[i][k][1] = max(dp[i-1][k][1], dp[i-1][k][0] - prices[i]) - -我们发现数组中的 k 已经不会改变了,也就是说不需要记录 k 这个状态了: -dp[i][0] = max(dp[i-1][0], dp[i-1][1] + prices[i]) -dp[i][1] = max(dp[i-1][1], dp[i-1][0] - prices[i]) -``` - -```js -/** - * @param {number[]} prices - * @return {number} - */ -var maxProfit = function (prices) { - const n = prices.length; - // 定义dp - // dp[i][0,1] 0 <= i <= n-1 | 0表示未持有,1表示持有 - // 表示第i天,持有、未持有的最大利润 - const dp = new Array(n).fill(0).map((_) => new Array(2).fill(0)); - // base case - // -1表示还没开始 - // 0 => 未持有就是 最大利润就是0 - // 1 => 持有,最后求最大值,方便比较给一个 -Infinity - dp[-1] = [0, -Infinity]; - - for (let i = 0; i < n; i++) { - // 解释:今天要 未持有,有两种组状态可以选择出最大利润 - // 可以选择 max(昨天未持有的利润 或 将昨天持有的售出) - dp[i][0] = Math.max(dp[i - 1][0], dp[i - 1][1] + prices[i]); - - // 今天要 持有,有两种状态可以选择出最大利润 - // 可以选择 Max(昨天持有的利润 或 在昨天未持有的基础上 进行买入 ) - dp[i][1] = Math.max(dp[i - 1][1], dp[i - 1][0] - prices[i]); // 重点 - } - - return dp[n - 1][0]; // 返回最后一天未持有的最大利润 -}; - -``` - -优化空间复杂度 - -```js -var maxProfit = function (prices) { - const n = prices.length; - // 定义dp - let dp_i_0 = 0, - dp_i_1 = -Infinity; - - for (let i = 0; i < n; i++) { - // 解释:今天要 未持有,有两种组状态可以选择出最大利润 - // 可以选择 max(昨天未持有的利润 或 将昨天持有的售出) - dp_i_0 = Math.max(dp_i_0, dp_i_1 + prices[i]); - - // 今天要 持有,有两种状态可以选择出最大利润 - // 可以选择 Max(昨天持有的利润 或 进行买入 ) - dp_i_1 = Math.max(dp_i_1, dp_i_0 - prices[i]); // 重点 - } - - return dp_i_0; // 返回最后一天未持有的最大利润 -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/123.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272-iii.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/123.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272-iii.md" deleted file mode 100644 index 0dd86c8..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/123.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272-iii.md" +++ /dev/null @@ -1,34 +0,0 @@ -### [123.买卖股票的最佳时机-iii](https://leetcode.cn/problems/best-time-to-buy-and-sell-stock-iii/) hard - -原始的状态转移方程,没有可化简的地方 -`dp[i][k][0] = max(dp[i-1][k][0], dp[i-1][k][1] + prices[i])` -`dp[i][k][1] = max(dp[i-1][k][1], dp[i-1][k-1][0] - prices[i])` - -```js -// @lc code=start -/** - * @param {number[]} prices - * @return {number} - */ -var maxProfit = function (prices) { - const n = prices.length; - const maxK = 2; - const dp = new Array(n) - .fill() - .map((_) => new Array(maxK + 1).fill().map((_) => new Array(2).fill(0))); - - for (let i = 0; i < n; i++) { - for (let k = maxK; k >= 1; k--) { - if (i - 1 === -1) { - dp[i][k][0] = 0; - dp[i][k][1] = -prices[i]; - continue; - } - dp[i][k][0] = Math.max(dp[i - 1][k][0], dp[i - 1][k][1] + prices[i]); - dp[i][k][1] = Math.max(dp[i - 1][k][1], dp[i - 1][k - 1][0] - prices[i]); - } - } - - return dp[n - 1][maxK][0]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/188.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272-iv.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/188.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272-iv.md" deleted file mode 100644 index f90fb02..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/188.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272-iv.md" +++ /dev/null @@ -1,33 +0,0 @@ -### [188.买卖股票的最佳时机-iv](https://leetcode.cn/problems/best-time-to-buy-and-sell-stock-iv/) medium - -相对于123题:只能交易两次 `k=2` ,该题的k是不确定的 - -```js -// @lc code=start -/** - * @param {number} k - * @param {number[]} prices - * @return {number} - */ -var maxProfit = function (k, prices) { - const n = prices.length; - const maxK = k; - const dp = new Array(n) - .fill() - .map((_) => new Array(maxK + 1).fill().map((_) => new Array(2).fill(0))); - - for (let i = 0; i < n; i++) { - for (let k = maxK; k >= 1; k--) { - if (i - 1 === -1) { - dp[i][k][0] = 0; - dp[i][k][1] = -prices[i]; - continue; - } - dp[i][k][0] = Math.max(dp[i - 1][k][0], dp[i - 1][k][1] + prices[i]); - dp[i][k][1] = Math.max(dp[i - 1][k][1], dp[i - 1][k - 1][0] - prices[i]); - } - } - - return dp[n - 1][maxK][0]; -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/309.\346\234\200\344\275\263\344\271\260\345\215\226\350\202\241\347\245\250\346\227\266\346\234\272\345\220\253\345\206\267\345\206\273\346\234\237.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/309.\346\234\200\344\275\263\344\271\260\345\215\226\350\202\241\347\245\250\346\227\266\346\234\272\345\220\253\345\206\267\345\206\273\346\234\237.md" deleted file mode 100644 index f1c2f30..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/309.\346\234\200\344\275\263\344\271\260\345\215\226\350\202\241\347\245\250\346\227\266\346\234\272\345\220\253\345\206\267\345\206\273\346\234\237.md" +++ /dev/null @@ -1,93 +0,0 @@ -### [309.最佳买卖股票时机含冷冻期](https://leetcode.cn/problems/best-time-to-buy-and-sell-stock-with-cooldown/) medium - -相对于122,也是不限交易次数,但是有一天的冷冻期 -也就是每次售出之后要等一天才能继续交易 - -``` -dp[i][0] = max(dp[i-1][0], dp[i-1][1] + prices[i]) -dp[i][1] = max(dp[i-1][1], dp[i-2][0] - prices[i]) -解释:第 i 天选择 buy 的时候,要从 i-2 的状态转移,而不是 i-1 。 -``` - -``` -base case: -dp[-1][...][0] = dp[...][0][0] = 0 -dp[-1][...][1] = dp[...][0][1] = -infinity - -状态转移方程: -dp[i][k][0] = max(dp[i-1][k][0], dp[i-1][k][1] + prices[i]) -dp[i][k][1] = max(dp[i-1][k][1], dp[i-1][k-1][0] - prices[i]) - -相对于121题,122不限制k的交易次数所以: k-1 和 k 是一样的 -dp[i][k][0] = max(dp[i-1][k][0], dp[i-1][k][1] + prices[i]) -dp[i][k][1] = max(dp[i-1][k][1], dp[i-1][k][0] - prices[i]) - -我们发现数组中的 k 已经不会改变了,也就是说不需要记录 k 这个状态了: -dp[i][0] = max(dp[i-1][0], dp[i-1][1] + prices[i]) -dp[i][1] = max(dp[i-1][1], dp[i-1][0] - prices[i]) - -从122专转化过来,309题,k不限次数,设置1天冷冻期 -dp[i][0] = max(dp[i-1][0], dp[i-1][1] + prices[i]) -dp[i][1] = max(dp[i-1][1], dp[i-2][0] - prices[i]) -解释:第 i 天选择 buy 的时候,要从 i-2 的状态转移,而不是 i-1 。 -``` - -```js -// @lc code=start -/** - * @param {number[]} prices - * @return {number} - */ -var maxProfit = function (prices) { - const n = prices.length; - // 定义dp - // dp[i][0,1] 0 <= i <= n-1 | 0表示未持有,1表示持有 - // 表示第i天,持有、未持有的最大利润 - const dp = new Array(n).fill(0).map((_) => new Array(2).fill(0)); - - // base case - // -1表示还没开始 - // 0 => 未持有就是 最大利润就是0 - // 1 => 持有,最后求最大值,方便比较给一个 -Infinity - dp[-1] = [0, -Infinity]; - dp[-2] = [0, -Infinity]; - - for (let i = 0; i < n; i++) { - // 解释:今天要 未持有,有两种组状态可以选择出最大利润 - // 可以选择 max(昨天未持有的利润 或 将昨天持有的售出) - dp[i][0] = Math.max(dp[i - 1][0], dp[i - 1][1] + prices[i]); - - // 今天要 持有,有两种状态可以选择出最大利润 - // 可以选择 Max(昨天持有的利润 或 在上次冷冻期未持有的基础上 进行买入 ) - dp[i][1] = Math.max(dp[i - 1][1], dp[i - 2][0] - prices[i]); // 重点 - } - - return dp[n - 1][0]; // 返回最后一天未持有的最大利润 -}; - -``` - -优化空间复杂度 - -```js -var maxProfit = function (prices) { - const n = prices.length; - // 定义dp - let dp_i_0 = 0, - dp_i_1 = -Infinity; - let dp_pre_0 = 0; // 表示dp[i-2][0] - for (let i = 0; i < n; i++) { - let temp = dp_i_0; - // 解释:今天要 未持有,有两种组状态可以选择出最大利润 - // 可以选择 max(昨天未持有的利润 或 将昨天持有的售出) - dp_i_0 = Math.max(dp_i_0, dp_i_1 + prices[i]); - - // 今天要 持有,有两种状态可以选择出最大利润 - // 可以选择 Max(昨天持有的利润 或 在上次冷冻期未持有的基础上 进行买入 ) - dp_i_1 = Math.max(dp_i_1, dp_pre_0 - prices[i]); // 重点 - dp_pre_0 = temp; - } - - return dp_i_0; // 返回最后一天未持有的最大利润 -}; -``` diff --git "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/714.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272\345\220\253\346\211\213\347\273\255\350\264\271.md" "b/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/714.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272\345\220\253\346\211\213\347\273\255\350\264\271.md" deleted file mode 100644 index 319c430..0000000 --- "a/example/\345\212\250\346\200\201\350\247\204\345\210\222/\350\202\241\347\245\250\344\271\260\345\215\226\351\227\256\351\242\230/714.\344\271\260\345\215\226\350\202\241\347\245\250\347\232\204\346\234\200\344\275\263\346\227\266\346\234\272\345\220\253\346\211\213\347\273\255\350\264\271.md" +++ /dev/null @@ -1,66 +0,0 @@ -### [714.买卖股票的最佳时机含手续费](https://leetcode.cn/problems/best-time-to-buy-and-sell-stock-with-transaction-fee/) medium - - -相对于122,k都是无限,然后每次交易再扣除手续费就好 -``` -dp[i][0] = max(dp[i-1][0], dp[i-1][1] + prices[i]) -dp[i][1] = max(dp[i-1][1], dp[i-1][0] - prices[i] - fee) -解释:相当于买入股票的价格升高了。 -在第一个式子里减也是一样的,相当于卖出股票的价格减小了。 -``` - -```js -/** - * @param {number[]} prices - * @param {number} fee - * @return {number} - */ -var maxProfit = function (prices, fee) { - const n = prices.length; - // 定义dp - // dp[i][0,1] 0 <= i <= n-1 | 0表示未持有,1表示持有 - // 表示第i天,持有、未持有的最大利润 - const dp = new Array(n).fill(0).map((_) => new Array(2).fill(0)); - // base case - // -1表示还没开始 - // 0 => 未持有就是 最大利润就是0 - // 1 => 持有,最后求最大值,方便比较给一个 -Infinity - dp[-1] = [0, -Infinity]; - - for (let i = 0; i < n; i++) { - // 解释:今天要 未持有,有两种组状态可以选择出最大利润 - // 可以选择 max(昨天未持有的利润 或 将昨天持有的售出) - dp[i][0] = Math.max(dp[i - 1][0], dp[i - 1][1] + prices[i]); - - // 今天要 持有,有两种状态可以选择出最大利润 - // 可以选择 Max(昨天持有的利润 或 在昨天未持有的基础上 进行买入 再扣除手续费 ) - dp[i][1] = Math.max(dp[i - 1][1], dp[i - 1][0] - prices[i] - fee); // 重点 - } - - return dp[n - 1][0]; // 返回最后一天未持有的最大利润 -}; - -``` - -优化空间复杂度 - -```js -var maxProfit = function (prices, fee) { - const n = prices.length; - // 定义dp - let dp_i_0 = 0, - dp_i_1 = -Infinity; - - for (let i = 0; i < n; i++) { - // 解释:今天要 未持有,有两种组状态可以选择出最大利润 - // 可以选择 max(昨天未持有的利润 或 将昨天持有的售出) - dp_i_0 = Math.max(dp_i_0, dp_i_1 + prices[i]); - - // 今天要 持有,有两种状态可以选择出最大利润 - // 可以选择 Max(昨天持有的利润 或 进行买入 再扣除手续费) - dp_i_1 = Math.max(dp_i_1, dp_i_0 - prices[i] - fee); // 重点 - } - - return dp_i_0; // 返回最后一天未持有的最大利润 -}; -``` diff --git "a/example/\345\233\236\346\272\257/17.\347\224\265\350\257\235\345\217\267\347\240\201\347\232\204\345\255\227\346\257\215\347\273\204\345\220\210.md" "b/example/\345\233\236\346\272\257/17.\347\224\265\350\257\235\345\217\267\347\240\201\347\232\204\345\255\227\346\257\215\347\273\204\345\220\210.md" deleted file mode 100644 index c84b77f..0000000 --- "a/example/\345\233\236\346\272\257/17.\347\224\265\350\257\235\345\217\267\347\240\201\347\232\204\345\255\227\346\257\215\347\273\204\345\220\210.md" +++ /dev/null @@ -1,45 +0,0 @@ -## [17.电话号码的字母组合](https://leetcode.cn/problems/letter-combinations-of-a-phone-number/) medium - -```js -/** - * @param {string} digits - * @return {string[]} - */ -// 元素【无重】【不可复用】 -var letterCombinations = function (digits) { - // 构建一个映射关系 - let mapping = [ - "", - "", - "abc", - "def", - "ghi", - "jkl", - "mno", - "pqrs", - "tuv", - "wxyz", - ]; - const res = []; - if (digits === "") return []; - const backTrack = (start, track) => { - // base case - if (track.length === digits.length) { - res.push(track.join("")); - return; - } - - for (let i = start; i < digits.length; i++) { - const digit = Number(digits[i]); // digits==>"23", digit==>2 - for (let c of mapping[digit].split("")) { - track.push(c); - backTrack(i + 1, track); - track.pop(); - } - } - }; - - backTrack(0, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/216.\347\273\204\345\220\210\346\200\273\345\222\214-iii.md" "b/example/\345\233\236\346\272\257/216.\347\273\204\345\220\210\346\200\273\345\222\214-iii.md" deleted file mode 100644 index 2976e94..0000000 --- "a/example/\345\233\236\346\272\257/216.\347\273\204\345\220\210\346\200\273\345\222\214-iii.md" +++ /dev/null @@ -1,39 +0,0 @@ -## [216.组合总和-iii](https://leetcode.cn/problems/combination-sum-iii/) medium - - -```js -/** - * @param {number} k - * @param {number} n - * @return {number[][]} - */ -// 元素【无重】【不可复选】 -// 使用数字1-9 -// n为target -// k为组成target所需要的元素个数 -var combinationSum3 = function (k, n) { - const nums = new Array(9).fill(0).map((_, i) => i + 1); - const res = []; - let targetSum = 0; - const backTrack = (start, track) => { - // base case - if (track.length === k && targetSum === n) { - res.push([...track]); - return; - } - if (track.length > k || targetSum > n) return; - for (let i = start; i < nums.length; i++) { - // 做选择 - track.push(nums[i]); - targetSum += nums[i]; - - backTrack(i + 1, track); - // 撤销选择 - track.pop(); - targetSum -= nums[i]; - } - }; - backTrack(0, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/39.\347\273\204\345\220\210\346\200\273\345\222\214.md" "b/example/\345\233\236\346\272\257/39.\347\273\204\345\220\210\346\200\273\345\222\214.md" deleted file mode 100644 index 4f31a19..0000000 --- "a/example/\345\233\236\346\272\257/39.\347\273\204\345\220\210\346\200\273\345\222\214.md" +++ /dev/null @@ -1,34 +0,0 @@ -## [39.组合总和](https://leetcode.cn/problems/combination-sum/) medium - -```js -/** - * @param {number[]} candidates - * @param {number} target - * @return {number[][]} - */ -// 元素【无重】【可复选】 -var combinationSum = function (candidates, target) { - const res = []; - let targetSum = 0; - const backTrack = (start, track) => { - // base case - if (targetSum === target) { - res.push([...track]); - return; - } - // 因为targetSum是累加的,所以当targetSum > target是,可以直接停止递归 - if (targetSum > target) return; - for (let i = start; i < candidates.length; i++) { - // 做选择 - track.push(candidates[i]); - targetSum += candidates[i]; - backTrack(i, track); - // 撤销选择 - track.pop(); - targetSum -= candidates[i]; - } - }; - backTrack(0, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/40.\347\273\204\345\220\210\346\200\273\345\222\214-ii.md" "b/example/\345\233\236\346\272\257/40.\347\273\204\345\220\210\346\200\273\345\222\214-ii.md" deleted file mode 100644 index ad3e85c..0000000 --- "a/example/\345\233\236\346\272\257/40.\347\273\204\345\220\210\346\200\273\345\222\214-ii.md" +++ /dev/null @@ -1,41 +0,0 @@ -## [40.组合总和-ii](https://leetcode.cn/problems/combination-sum-ii/) medium - - -```js -/** - * @param {number[]} candidates - * @param {number} target - * @return {number[][]} - */ -// 元素【可重】【不可复选】 -// 注意剪枝 -var combinationSum2 = function (candidates, target) { - const res = []; - let targetSum = 0; - candidates.sort((a, b) => a - b); - - const backTrack = (start, track) => { - // base case - if (targetSum === target) { - res.push([...track]); - return; - } - // 因为targetSum是累加的,所以当targetSum > target是,可以直接停止递归 - if (targetSum > target) return; - - for (let i = start; i < candidates.length; i++) { - // 对重复的,只遍历一次 - if (i > start && candidates[i] === candidates[i - 1]) continue; - // 做选择 - track.push(candidates[i]); - targetSum += candidates[i]; - backTrack(i + 1, track); - // 撤销选择 - track.pop(); - targetSum -= candidates[i]; - } - }; - backTrack(0, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/46.\345\205\250\346\216\222\345\210\227.md" "b/example/\345\233\236\346\272\257/46.\345\205\250\346\216\222\345\210\227.md" deleted file mode 100644 index b2053be..0000000 --- "a/example/\345\233\236\346\272\257/46.\345\205\250\346\216\222\345\210\227.md" +++ /dev/null @@ -1,41 +0,0 @@ -## [46.全排列](https://leetcode.cn/problems/permutations/) medium - -时间复杂度 O(N!) 1* 2 * 3 ... (N -1) * N -空间复杂度 O(N) -- 思路(回溯算法) -- 看成遍历一颗多叉树 -- 当遍历到叶子结点的时候,走过的路径就是一个排列结果 - -```js -/** - * @param {number[]} nums - * @return {number[][]} - */ -// 元素【无重】【不可复选】 -var permute = function (nums) { - let res = []; - var backTrack = function (nums, track) { - if (nums.length === track.length) { - // 如果使用 res.push(track); - // track会被引用,回溯算法在撤销选择的时候,修改track的值,res中的track也会被修改掉!!! - res.push([...track]); - return; - } - - for (let num of nums) { - // 跳过已经存在的 - if (track.includes(num)) { - continue; - } - // 做选择 - track.push(num); - backTrack(nums, track); - // 撤销选择 - track.pop(); - } - }; - - backTrack(nums, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/47.\345\205\250\346\216\222\345\210\227-ii.md" "b/example/\345\233\236\346\272\257/47.\345\205\250\346\216\222\345\210\227-ii.md" deleted file mode 100644 index 5b5ffee..0000000 --- "a/example/\345\233\236\346\272\257/47.\345\205\250\346\216\222\345\210\227-ii.md" +++ /dev/null @@ -1,41 +0,0 @@ -## [47.全排列-ii](https://leetcode.cn/problems/permutations-ii/) medium - - -```js -/** - * @param {number[]} nums - * @return {number[][]} - */ -// 元素【可重复】【不可复选】 -// 要点:保证相同元素在排列中的相对位置保持不变 -var permuteUnique = function (nums) { - const res = []; - const used = new Array(nums.length).fill(false); - nums.sort((a, b) => a - b); - const backTrack = (track) => { - if (track.length === nums.length) { - res.push([...track]); - return; - } - - for (let i = 0; i < nums.length; i++) { - if (used[i]) continue; - // 剪枝 - // 如果前面的相邻相等元素没有用过,则跳过 - // 当出现重复元素时,比如输入 nums = [1,2,2',2''],2' 只有在 2 已经被使用的情况下才会被选择 - // 同理,2'' 只有在 2' 已经被使用的情况下才会被选择,这就保证了相同元素在排列中的相对位置保证固定 - if (i > 0 && nums[i] === nums[i - 1] && !used[i - 1]) continue; - // 做选择 - track.push(nums[i]); - used[i] = true; - backTrack(track); - // 撤销选择 - track.pop(); - used[i] = false; - } - }; - - backTrack([]); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/491.\351\200\222\345\242\236\345\255\220\345\272\217\345\210\227.md" "b/example/\345\233\236\346\272\257/491.\351\200\222\345\242\236\345\255\220\345\272\217\345\210\227.md" deleted file mode 100644 index 56e1e6d..0000000 --- "a/example/\345\233\236\346\272\257/491.\351\200\222\345\242\236\345\255\220\345\272\217\345\210\227.md" +++ /dev/null @@ -1,38 +0,0 @@ -## [491.递增子序列](https://leetcode.cn/problems/increasing-subsequences/) medium - -- 这道题和40题很像 -- 不过增加了一个条件:元素必须是递增的,所以我们需要添加一个, track[last] > nums[i]进行过滤,保证元素递增 -- 还有一点,在40题中,我们对nums进行排序,进行剪枝,这里不能修改原数组,我们使用set剪枝,避免使用重复的元素 - - -```js -/** - * @param {number[]} nums - * @return {number[][]} - */ -// 元素【可重】【不可复选】 -// 注意剪枝 -var findSubsequences = function (nums) { - const res = []; - const backTrack = (start, track) => { - // base case - if (track.length >= 2) { - res.push([...track]); - } - const set = new Set(); // 在一个递归中去重 - for (let i = start; i < nums.length; i++) { - // 保证track的结果是升序的 - if (track.length !== 0 && track[track.length - 1] > nums[i]) continue; - if (set.has(nums[i])) continue; // 保证不重复使用相同的元素 - // 做选择 - track.push(nums[i]); - set.add(nums[i]); - backTrack(i + 1, track); - // 撤销选择 - track.pop(); - } - }; - backTrack(0, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/51.n-\347\232\207\345\220\216.md" "b/example/\345\233\236\346\272\257/51.n-\347\232\207\345\220\216.md" deleted file mode 100644 index b32d553..0000000 --- "a/example/\345\233\236\346\272\257/51.n-\347\232\207\345\220\216.md" +++ /dev/null @@ -1,53 +0,0 @@ -## [51.n-皇后](https://leetcode.cn/problems/n-queens/) hard - - -```js -/** - * @param {number} n - * @return {string[][]} - */ -var solveNQueens = function (n) { - let res = []; - // 初始化空棋盘: '.' 表示空 'Q'表示皇后 - let board = new Array(n).fill(0).map(() => new Array(n).fill(".")); - backTrack(0); - return res; - - // 判断board[row][col]位置是否可以放Q - function isValid(row, col) { - // 判断头上⬆的元素是否有Q - for (let i = 0; i <= row; i++) { - if (board[i][col] === "Q") return false; - } - // 判断右上↗️的元素是否有Q - for (let i = row - 1, j = col + 1; i >= 0 && j < n; i--, j++) { - if (board[i][j] === "Q") return false; - } - // 判断左上↖️的元素是否有Q - for (let i = row - 1, j = col - 1; i >= 0 && j >= 0; i--, j--) { - if (board[i][j] === "Q") return false; - } - return true; - } - - function backTrack(row) { - // 触发结束条件 - if (row === board.length) { - // 将['.','.','.','.']join成字符串返回 - res.push(board.map((row) => row.join(""))); - return; - } - for (let col = 0; col < n; col++) { - // 排除不合法选择 - if (!isValid(row, col)) { - continue; - } - // 做选择 - board[row][col] = "Q"; - backTrack(row + 1); - // 撤销选择 - board[row][col] = "."; - } - } -}; -``` diff --git "a/example/\345\233\236\346\272\257/733.\345\233\276\345\203\217\346\270\262\346\237\223.md" "b/example/\345\233\236\346\272\257/733.\345\233\276\345\203\217\346\270\262\346\237\223.md" deleted file mode 100644 index baa9d7c..0000000 --- "a/example/\345\233\236\346\272\257/733.\345\233\276\345\203\217\346\270\262\346\237\223.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [733.图像渲染](https://leetcode.cn/problems/flood-fill/) easy - - -```js -/** - * @param {number[][]} image - * @param {number} sr - * @param {number} sc - * @param {number} color - * @return {number[][]} - */ -var floodFill = function (image, sr, sc, color) { - const m = image.length, n = image[0].length; - const origColor = image[sr][sc]; - const fill = (i, j) => { - if (i < 0 || j < 0 || i >= m || j >= n) return; // 越界情况 - if (image[i][j] !== origColor) return; // 不是[sr,sc]点的color - if (image[i][j] === -1) return; - - image[i][j] = -1; // 使用-1标识已经走过 - fill(i - 1, j); - fill(i + 1, j); - fill(i, j + 1); - fill(i, j - 1); - image[i][j] = color; // 在递归向上回溯的时候设置为新的color - } - fill(sr, sc); - return image; -}; -``` diff --git "a/example/\345\233\236\346\272\257/77.\347\273\204\345\220\210.md" "b/example/\345\233\236\346\272\257/77.\347\273\204\345\220\210.md" deleted file mode 100644 index 4a7e39f..0000000 --- "a/example/\345\233\236\346\272\257/77.\347\273\204\345\220\210.md" +++ /dev/null @@ -1,35 +0,0 @@ -## [77.组合](https://leetcode.cn/problems/combinations/) medium - -- 思路 -- 跟78题.子集问题类似 -- 其实就是收集指定层数K的子集 - -```js -/** - * @param {number} n - * @param {number} k - * @return {number[][]} - */ -// 元素【无重】【不可复选】 -var combine = function (n, k) { - let res = []; - - const backTrack = (start, track) => { - // base case - if (k === track.length) { - res.push([...track]); - return; - } - for (let i = start; i <= n; i++) { - // 做选择 - track.push(i); - backTrack(i + 1, track); - // 撤销选择 - track.pop(); - } - }; - - backTrack(1, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/78.\345\255\220\351\233\206.md" "b/example/\345\233\236\346\272\257/78.\345\255\220\351\233\206.md" deleted file mode 100644 index dcc198f..0000000 --- "a/example/\345\233\236\346\272\257/78.\345\255\220\351\233\206.md" +++ /dev/null @@ -1,34 +0,0 @@ -## [78.子集](https://leetcode.cn/problems/subsets/) medium - - -时间复杂度 O(2^N) -空间复杂度 O(N) -- 思路(回溯算法) -- 用递归模拟所有情况 -- 保证接的数字都是后面的数字 -- 收集所有到达终点的情况,并返回 - -```js -/** - * @param {number[]} nums - * @return {number[][]} - */ -// 元素【无重】【不可复选】 -// 需要使用start,保证元素无重 -var subsets = function (nums) { - const res = []; - - const backTrack = (start, track) => { - res.push([...track]); - for (let i = start; i < nums.length; i++) { - // 做选择 - track.push(nums[i]); - backTrack(i + 1, track); // i+1,保证下次进入,不会再次选中i上的元素 - // 撤销选择 - track.pop(); - } - }; - backTrack(0, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/784.\345\255\227\346\257\215\345\244\247\345\260\217\345\206\231\345\205\250\346\216\222\345\210\227.md" "b/example/\345\233\236\346\272\257/784.\345\255\227\346\257\215\345\244\247\345\260\217\345\206\231\345\205\250\346\216\222\345\210\227.md" deleted file mode 100644 index acefa6e..0000000 --- "a/example/\345\233\236\346\272\257/784.\345\255\227\346\257\215\345\244\247\345\260\217\345\206\231\345\205\250\346\216\222\345\210\227.md" +++ /dev/null @@ -1,86 +0,0 @@ -## [784.字母大小写全排列](https://leetcode.cn/problems/letter-case-permutation/) medium - -回溯 - -
- -
图解
-
- -```js -/** - * @param {string} s - * @return {string[]} - */ -var letterCasePermutation = function (s) { - const res = []; - const isNumber = (c) => parseInt(c).toString() === 'NaN' ? false : true; - - const backTrack = (start, track, sArr) => { - track.push(sArr.join('')); - for (let i = start; i < sArr.length; i++) { - const c = sArr[i]; - if (isNumber(c)) continue; - // 'a' ==> 97 - // 'A' ==> 65 - if (c >= 'a') { - // 小写 - sArr[i] = c.toUpperCase(); - backTrack(i + 1, track, sArr); - sArr[i] = c.toLowerCase(); - } else { - // 大写 - sArr[i] = c.toLowerCase(); - backTrack(i + 1, track, sArr); - sArr[i] = c.toUpperCase(); - } - } - } - backTrack(0, res, [...s]); - return res; -}; -``` - -广度优先搜索 -- 思路 -- 时间复杂度 O(n * 2^n) -- 空间复杂度 O(n * 2^n) -- 使用一个队列存储搜索的元素 -- 累加队列的第一个元素,当元素的长度等于s的长度,就是一个组合 -- 当s[p]是一个字母,就把这个字母转换一下大小写,然后当做一个新组合入队 -- 当s[p]是一个数字,直接累加到队头元素即可 - -```js -var letterCasePermutation = function (s) { - const ans = []; - const q = [""]; - while (q.length !== 0) { - // console.log(q); - const cur = q[0]; - const p = cur.length; - if (p === s.length) { - ans.push(cur); - q.shift(); - } else { - if (isLetter(s[p])) { - q.push(cur + swapCase(s[p])); - } - q[0] += s[p]; - } - } - return ans; -}; - -const swapCase = (ch) => { - if ('a' <= ch && ch <= 'z') { - return ch.toUpperCase(); - } - if ('A' <= ch && ch <= 'Z') { - return ch.toLowerCase(); - } -} - -const isLetter = (ch) => { - return 'a' <= ch && ch <= 'z' || 'A' <= ch && ch <= 'Z'; -} -``` diff --git "a/example/\345\233\236\346\272\257/79.\345\215\225\350\257\215\346\220\234\347\264\242.md" "b/example/\345\233\236\346\272\257/79.\345\215\225\350\257\215\346\220\234\347\264\242.md" deleted file mode 100644 index fa39878..0000000 --- "a/example/\345\233\236\346\272\257/79.\345\215\225\350\257\215\346\220\234\347\264\242.md" +++ /dev/null @@ -1,56 +0,0 @@ -## [79.单词搜索](https://leetcode.cn/problems/word-search/) medium - -[题解](https://leetcode.cn/problems/word-search/solution/shou-hua-tu-jie-79-dan-ci-sou-suo-dfs-si-lu-de-cha/) - -```js -/** - * @param {character[][]} board - * @param {string} word - * @return {boolean} - */ -var exist = function (board, word) { - const m = board.length, - n = board[0].length; - // false表示未访问,true表示访问过 - const visited = new Array(m).fill().map((_) => new Array(n).fill(false)); - const len = word.length; - - // 定义函数 - // 返回 [i,j]为起点能够找出 word[p..end] - const canFind = (i, j, p) => { - if (p === len) { - // p指针越界了,返回true - return true; - } - - // 越界直接返回false - if (i < 0 || i >= m || j < 0 || j >= n) return false; - // 访问过 或者不是要寻找的目标 也返回false - if (visited[i][j] || board[i][j] !== word[p]) return false; - - // 剩下的情况就是 board[i][j] === word[p] - - visited[i][j] = true; // 访问 - // 访问上下左右 - const canFindRes = - canFind(i, j + 1, p + 1) || - canFind(i, j - 1, p + 1) || - canFind(i + 1, j, p + 1) || - canFind(i - 1, j, p + 1); - - if (canFindRes) return true; // 如果能找到 返回true - - visited[i][j] = false; // 撤销访问 - return false; - }; - - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (board[i][j] === word[0] && canFind(i, j, 0)) { - return true; - } - } - } - return false; -}; -``` diff --git "a/example/\345\233\236\346\272\257/90.\345\255\220\351\233\206-ii.md" "b/example/\345\233\236\346\272\257/90.\345\255\220\351\233\206-ii.md" deleted file mode 100644 index a705ca5..0000000 --- "a/example/\345\233\236\346\272\257/90.\345\255\220\351\233\206-ii.md" +++ /dev/null @@ -1,40 +0,0 @@ -## [90.子集-ii](https://leetcode.cn/problems/subsets-ii/) medium - -- 思路 -- 解法还是和78.子集一样 -- 不过因为题目包含重复元素,所以在排列的时候,要把重复的元素给过滤掉 -- 也就是对树进行剪枝操作 -- 体现在代码上,需要先进行排序,让相同的元素靠在一起,如果发现 nums[i] == nums[i-1],则跳过 - -```js -/** - * @param {number[]} nums - * @return {number[][]} - */ -// 元素【可重】【不可复选】 -// 要点:进行剪枝 -// 如果一个节点有多条值相同的树枝相邻,则只遍历第一条,剩下的都剪掉,不要去遍历 -var subsetsWithDup = function (nums) { - const res = []; - nums.sort((a, b) => a - b); - - const backTrack = (start, track) => { - res.push([...track]); - - for (let i = start; i < nums.length; i++) { - // 剪枝 - if (i > start && nums[i] === nums[i - 1]) { - continue; - } - // 做选择 - track.push(nums[i]); - backTrack(i + 1, track); - // 撤销选择 - track.pop(); - } - }; - - backTrack(0, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207Offer38.\345\255\227\347\254\246\344\270\262\347\232\204\346\216\222\345\210\227.md" "b/example/\345\233\236\346\272\257/\345\211\221\346\214\207Offer38.\345\255\227\347\254\246\344\270\262\347\232\204\346\216\222\345\210\227.md" deleted file mode 100644 index 8a7ba3b..0000000 --- "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207Offer38.\345\255\227\347\254\246\344\270\262\347\232\204\346\216\222\345\210\227.md" +++ /dev/null @@ -1,39 +0,0 @@ -## [剑指 Offer 38. 字符串的排列](https://leetcode.cn/problems/zi-fu-chuan-de-pai-lie-lcof/) medium - -跟47.全排列-ii 类似 - -```js -/** - * @param {string} s - * @return {string[]} - */ -// 元素【可重】【不可复选】 -var permutation = function (s) { - const res = []; - // 对s进行排序 - s = s.split("").sort().join(""); - - // 记录使用情况,防止使用重复元素 - const used = new Array(s.length).fill(false); - const backTrack = (track) => { - if (track.length === s.length) { - res.push(track.join("")); - } - for (let i = 0; i < s.length; i++) { - // 剪枝 - if (i > 0 && s[i] === s[i - 1] && !used[i - 1]) continue; - // 保证元素不重复 - if (used[i]) continue; - // 做选择 - track.push(s[i]); - used[i] = true; - backTrack(track); - // 撤销选择 - track.pop(); - used[i] = false; - } - }; - backTrack([]); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII079.\346\211\200\346\234\211\345\255\220\351\233\206.md" "b/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII079.\346\211\200\346\234\211\345\255\220\351\233\206.md" deleted file mode 100644 index 1cf26d2..0000000 --- "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII079.\346\211\200\346\234\211\345\255\220\351\233\206.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [剑指 Offer II 079. 所有子集](https://leetcode.cn/problems/TVdhkn/) medium - -[本题与主站 78 题相同](https://leetcode-cn.com/problems/subsets/) - -```js -/** - * @param {number[]} nums - * @return {number[][]} - */ -// 元素【无重】【不可复选】 -var subsets = function (nums) { - const res = []; - const backTrack = (start, track) => { - res.push([...track]); - - for (let i = start; i < nums.length; i++) { - // 做选择 - track.push(nums[i]); - - backTrack(i + 1, track); - // 撤销选择 - track.pop(); - } - }; - - backTrack(0, []); - - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII080.\345\220\253\346\234\211k\344\270\252\345\205\203\347\264\240\347\232\204\347\273\204\345\220\210.md" "b/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII080.\345\220\253\346\234\211k\344\270\252\345\205\203\347\264\240\347\232\204\347\273\204\345\220\210.md" deleted file mode 100644 index daa6f99..0000000 --- "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII080.\345\220\253\346\234\211k\344\270\252\345\205\203\347\264\240\347\232\204\347\273\204\345\220\210.md" +++ /dev/null @@ -1,33 +0,0 @@ -## [剑指 Offer II 080. 含有 k 个元素的组合](https://leetcode.cn/problems/uUsW3B/) medium - -[本题与主站 77 题相同](https://leetcode-cn.com/problems/combinations/) - -```js -/** - * @param {number} n - * @param {number} k - * @return {number[][]} - */ -// 元素【无重】【不可复选】 -var combine = function (n, k) { - let res = []; - - const backTrack = (start, track) => { - // base case - if (k === track.length) { - res.push([...track]); - return; - } - for (let i = start; i <= n; i++) { - // 做选择 - track.push(i); - backTrack(i + 1, track); - // 撤销选择 - track.pop(); - } - }; - - backTrack(1, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII081.\345\205\201\350\256\270\351\207\215\345\244\215\351\200\211\346\213\251\345\205\203\347\264\240\347\232\204\347\273\204\345\220\210.md" "b/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII081.\345\205\201\350\256\270\351\207\215\345\244\215\351\200\211\346\213\251\345\205\203\347\264\240\347\232\204\347\273\204\345\220\210.md" deleted file mode 100644 index 65b4b53..0000000 --- "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII081.\345\205\201\350\256\270\351\207\215\345\244\215\351\200\211\346\213\251\345\205\203\347\264\240\347\232\204\347\273\204\345\220\210.md" +++ /dev/null @@ -1,36 +0,0 @@ -## [剑指 Offer II 081. 允许重复选择元素的组合](https://leetcode.cn/problems/Ygoe9J/) medium - -[本题与主站 39 题相同](https://leetcode-cn.com/problems/combination-sum/) - -```js -/** - * @param {number[]} candidates - * @param {number} target - * @return {number[][]} - */ -// 元素【无重】【可复选】 -var combinationSum = function (candidates, target) { - const res = []; - let targetSum = 0; - const backTrack = (start, track) => { - // base case - if (targetSum === target) { - res.push([...track]); - return; - } - // 因为targetSum是累加的,所以当targetSum > target是,可以直接停止递归 - if (targetSum > target) return; - for (let i = start; i < candidates.length; i++) { - // 做选择 - track.push(candidates[i]); - targetSum += candidates[i]; - backTrack(i, track); - // 撤销选择 - track.pop(); - targetSum -= candidates[i]; - } - }; - backTrack(0, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII082.\345\220\253\346\234\211\351\207\215\345\244\215\345\205\203\347\264\240\351\233\206\345\220\210\347\232\204\347\273\204\345\220\210.md" "b/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII082.\345\220\253\346\234\211\351\207\215\345\244\215\345\205\203\347\264\240\351\233\206\345\220\210\347\232\204\347\273\204\345\220\210.md" deleted file mode 100644 index 011fe21..0000000 --- "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII082.\345\220\253\346\234\211\351\207\215\345\244\215\345\205\203\347\264\240\351\233\206\345\220\210\347\232\204\347\273\204\345\220\210.md" +++ /dev/null @@ -1,42 +0,0 @@ -## [剑指 Offer II 082. 含有重复元素集合的组合](https://leetcode.cn/problems/4sjJUc/) medium - -[本题与主站 40 题相同](https://leetcode-cn.com/problems/combination-sum-ii/) - -```js -/** - * @param {number[]} candidates - * @param {number} target - * @return {number[][]} - */ -// 元素【可重】【不可复选】 -// 注意剪枝 -var combinationSum2 = function (candidates, target) { - const res = []; - let targetSum = 0; - candidates.sort((a, b) => a - b); - - const backTrack = (start, track) => { - // base case - if (targetSum === target) { - res.push([...track]); - return; - } - // 因为targetSum是累加的,所以当targetSum > target是,可以直接停止递归 - if (targetSum > target) return; - - for (let i = start; i < candidates.length; i++) { - // 对重复的,只遍历一次 - if (i > start && candidates[i] === candidates[i - 1]) continue; - // 做选择 - track.push(candidates[i]); - targetSum += candidates[i]; - backTrack(i + 1, track); - // 撤销选择 - track.pop(); - targetSum -= candidates[i]; - } - }; - backTrack(0, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII083.\346\262\241\346\234\211\351\207\215\345\244\215\345\205\203\347\264\240\351\233\206\345\220\210\347\232\204\345\205\250\346\216\222\345\210\227.md" "b/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII083.\346\262\241\346\234\211\351\207\215\345\244\215\345\205\203\347\264\240\351\233\206\345\220\210\347\232\204\345\205\250\346\216\222\345\210\227.md" deleted file mode 100644 index dc2d753..0000000 --- "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII083.\346\262\241\346\234\211\351\207\215\345\244\215\345\205\203\347\264\240\351\233\206\345\220\210\347\232\204\345\205\250\346\216\222\345\210\227.md" +++ /dev/null @@ -1,34 +0,0 @@ -## [剑指 Offer II 083. 没有重复元素集合的全排列](https://leetcode.cn/problems/VvJkup/) medium - -[本题与主站 46 题相同](https://leetcode-cn.com/problems/permutations/) - -```js -/** - * @param {number[]} nums - * @return {number[][]} - */ -// 元素【无重】【不可复选】 -var permute = function (nums) { - let res = []; - - var backTrack = function (nums, track) { - if (track.length === nums.length) { - res.push([...track]); - return; - } - for (let num of nums) { - if (track.includes(num)) { - continue; - } - // 做选择 - track.push(num); - backTrack(nums, track); - // 撤销选择 - track.pop(); - } - }; - - backTrack(nums, []); - return res; -}; -``` diff --git "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII084.\345\220\253\346\234\211\351\207\215\345\244\215\345\205\203\347\264\240\351\233\206\345\220\210\347\232\204\345\205\250\346\216\222\345\210\227.md" "b/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII084.\345\220\253\346\234\211\351\207\215\345\244\215\345\205\203\347\264\240\351\233\206\345\220\210\347\232\204\345\205\250\346\216\222\345\210\227.md" deleted file mode 100644 index 8954ac1..0000000 --- "a/example/\345\233\236\346\272\257/\345\211\221\346\214\207OfferII084.\345\220\253\346\234\211\351\207\215\345\244\215\345\205\203\347\264\240\351\233\206\345\220\210\347\232\204\345\205\250\346\216\222\345\210\227.md" +++ /dev/null @@ -1,42 +0,0 @@ -## [剑指 Offer II 084. 含有重复元素集合的全排列](https://leetcode.cn/problems/7p8L0Z/) medium - -[本题与主站 47 题相同](https://leetcode-cn.com/problems/permutations-ii/) - -```js -/** - * @param {number[]} nums - * @return {number[][]} - */ -// 元素【可重复】【不可复选】 -// 要点:保证相同元素在排列中的相对位置保持不变 -var permuteUnique = function (nums) { - const res = []; - const used = new Array(nums.length).fill(false); - nums.sort((a, b) => a - b); - const backTrack = (track) => { - if (track.length === nums.length) { - res.push([...track]); - return; - } - - for (let i = 0; i < nums.length; i++) { - if (used[i]) continue; - // 剪枝 - // 如果前面的相邻相等元素没有用过,则跳过 - // 当出现重复元素时,比如输入 nums = [1,2,2',2''],2' 只有在 2 已经被使用的情况下才会被选择 - // 同理,2'' 只有在 2' 已经被使用的情况下才会被选择,这就保证了相同元素在排列中的相对位置保证固定 - if (i > 0 && nums[i] === nums[i - 1] && !used[i - 1]) continue; - // 做选择 - track.push(nums[i]); - used[i] = true; - backTrack(track); - // 撤销选择 - track.pop(); - used[i] = false; - } - }; - - backTrack([]); - return res; -}; -``` diff --git "a/example/\345\240\206/295.\346\225\260\346\215\256\346\265\201\347\232\204\344\270\255\344\275\215\346\225\260.md" "b/example/\345\240\206/295.\346\225\260\346\215\256\346\265\201\347\232\204\344\270\255\344\275\215\346\225\260.md" deleted file mode 100644 index 6aadd5b..0000000 --- "a/example/\345\240\206/295.\346\225\260\346\215\256\346\265\201\347\232\204\344\270\255\344\275\215\346\225\260.md" +++ /dev/null @@ -1,75 +0,0 @@ -## [295. 数据流的中位数](https://leetcode.cn/problems/find-median-from-data-stream/) hard - -时间复杂度O(N\*logN) -空间复杂度O(1) - -- 思路 -- 使用优先级队列,构造小顶堆和大顶堆 -- 由于小顶堆(MinPriorityQueue)的顶是最小的元素,所以底部是较大的元素,命名为large -- 大顶堆(MaxPriorityQueue),顶部元素大,底部元素小,命名small -- 在addNum的时候,要`维护两个堆的size不超过1`,还要`维护large的堆定元素大于等于small的堆顶` -```js -MedianFinder.prototype.addNum = function (num) { - if (this.small.size() >= this.large.size()) { - this.small.enqueue(num); - this.large.enqueue(this.small.dequeue()?.element); - } else { - this.large.enqueue(num); - this.small.enqueue(this.large.dequeue()?.element); - } -}; -``` -- 简单的说,如果**要向large插入num,要先把num插入到small中,然后将small的堆顶元素插入large**,插入small时也一样 -- 这样可以保证两个堆定的元素差小于等于1 -- 最后根据奇偶性去返回中位数即可 -- 如果是奇数,就将长度多的那个堆的堆顶元素返回 -- 如果是偶数,说明两个堆的元素相等,返回两个堆顶元素的平均值即可 -- 跟[剑指Offer41.数据流中的中位数](/js-logs/sword-point-offer#剑指-offer-41-数据流中的中位数)相同 - -```js -var MedianFinder = function () { - // 优先级队列,leetcode内置了MaxPriorityQueue和MinPriorityQueue - // https://github.com/datastructures-js/priority-queue - this.large = new MinPriorityQueue(); // large解释:底部放大的,顶部是小的,说一使用小顶堆 - this.small = new MaxPriorityQueue();// small解释:底部放最小,顶部是大的,所以使用大顶堆 -}; - -/** - * @param {number} num - * @return {void} - */ -MedianFinder.prototype.addNum = function (num) { - if (this.small.size() >= this.large.size()) { - this.small.enqueue(num); - this.large.enqueue(this.small.dequeue()?.element); - } else { - this.large.enqueue(num); - this.small.enqueue(this.large.dequeue()?.element); - } -}; - -/** - * @return {number} - */ -MedianFinder.prototype.findMedian = function () { - const largeElement = this.large.front()?.element, - smallElement = this.small.front()?.element; - if (this.large.size() > this.small.size()) { - // 如果large的数量多,返回large的堆顶元素 - return largeElement; - } else if (this.large.size() < this.small.size()) { - // 如果small的数量多,返回small的堆顶元素 - return smallElement - } else { - // 如果是偶数,large和small的数量相等,各取堆顶元素,求平均值 - return (largeElement + smallElement) / 2.0 - } -}; - -/** - * Your MedianFinder object will be instantiated and called as such: - * var obj = new MedianFinder() - * obj.addNum(num) - * var param_2 = obj.findMedian() - */ -``` diff --git "a/example/\345\240\206/703.\346\225\260\346\215\256\346\265\201\344\270\255\347\232\204\347\254\254K\345\244\247\345\205\203\347\264\240.md" "b/example/\345\240\206/703.\346\225\260\346\215\256\346\265\201\344\270\255\347\232\204\347\254\254K\345\244\247\345\205\203\347\264\240.md" deleted file mode 100644 index d14cd3c..0000000 --- "a/example/\345\240\206/703.\346\225\260\346\215\256\346\265\201\344\270\255\347\232\204\347\254\254K\345\244\247\345\205\203\347\264\240.md" +++ /dev/null @@ -1,109 +0,0 @@ -## [703. 数据流中的第 K 大元素](https://leetcode.cn/problems/kth-largest-element-in-a-stream/) easy - -完全二叉树计算公式 - -- 根据子节点获取 根节点-> `(index -1) /2` -- 有根节点或者左右节点 -> - - 左:`(index * 2)+1` - - 右:左+1 `(index * 2)+2` - -```js -// 构建最小堆 -class MinHeap { - constructor() { - this.heap = []; - } - - getParentIndex(index) { - // return Math.floor((index - 1) / 2); - return (index - 1) >> 1; - } - - getLeftIndex(index) { - return index * 2 + 1; - } - - getRightIndex(index) { - return this.getLeftIndex(index) + 1; - } - - swap(i, j) { - [this.heap[j], this.heap[i]] = [this.heap[i], this.heap[j]]; - } - - insert(val) { - this.heap.push(val); - this.shiftUp(this.heap.length - 1); - } - - shiftUp(index) { - if (index === 0) return; - const parentIndex = this.getParentIndex(index); - if (this.heap[index] < this.heap[parentIndex]) { - this.swap(index, parentIndex); - this.shiftUp(parentIndex); - } - } - - pop() { - const last = this.heap.pop(); - // 若heap只有一个元素,直接pop即可 - if (this.heap.length !== 0) { - // 若heap还有内容 - this.heap[0] = last; // 使用last元素直接替换掉heap[0]相当于删除 - this.shiftDown(0); - } - } - - shiftDown(index) { - const leftIndex = this.getLeftIndex(index); - const rightIndex = this.getRightIndex(index); - if (this.heap[index] > this.heap[leftIndex]) { - this.swap(index, leftIndex); - this.shiftDown(leftIndex); - } - - if (this.heap[index] > this.heap[rightIndex]) { - this.swap(index, rightIndex); - this.shiftDown(rightIndex); - } - } - - peek() { - return this.heap[0]; - } - - size() { - return this.heap.length; - } -} -/** - * @param {number} k - * @param {number[]} nums - */ -// 可以理解为找出世界上第k厉害的人 -var KthLargest = function (k, nums) { - this.k = k; - this.minHeap = new MinHeap(); - - for (const item of nums) { - this.minHeap.insert(item); // 插入元素,最小堆内会排序 - if (this.minHeap.size() > this.k) { - // 堆内元素多于k - this.minHeap.pop(); // 将最小的元素移除 - } - } -}; - -/** - * @param {number} val - * @return {number} - */ -KthLargest.prototype.add = function (val) { - this.minHeap.insert(val); - if (this.minHeap.size() > this.k) { - this.minHeap.pop(); - } - return this.minHeap.peek(); -}; -``` diff --git "a/example/\345\255\227\347\254\246\344\270\262/13.\347\275\227\351\251\254\346\225\260\345\255\227\350\275\254\346\225\264\346\225\260.md" "b/example/\345\255\227\347\254\246\344\270\262/13.\347\275\227\351\251\254\346\225\260\345\255\227\350\275\254\346\225\264\346\225\260.md" deleted file mode 100644 index cd5ba8e..0000000 --- "a/example/\345\255\227\347\254\246\344\270\262/13.\347\275\227\351\251\254\346\225\260\345\255\227\350\275\254\346\225\264\346\225\260.md" +++ /dev/null @@ -1,54 +0,0 @@ -## [13. 罗马数字转整数](https://leetcode.cn/problems/roman-to-integer/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 对于罗马数字,从左向右看,一般情况下,若左边比较大,是做加法 -- 若右边比左边小,要做减法 -- 所以在遍历的时候可以向后多看一位,判断前一位 preSum 是做加法还是减法,对 preSum 操作 -- 最后结束的时候把最后一位加上,对齐所有元素,返回 sum 即可 - -```js -/** - * @param {string} s - * @return {number} - */ -var romanToInt = function (s) { - let sum = 0; - let preNum = getVal(s[0]); - for (let i = 1; i < s.length; i++) { - const num = getVal(s[i]); - if (preNum < num) { - sum -= preNum; - } else { - sum += preNum; - } - preNum = num; - } - - sum += preNum; - return sum; -}; - -const getVal = (c) => { - switch (c) { - case 'I': - return 1; - case 'V': - return 5; - case 'X': - return 10; - case 'L': - return 50; - case 'C': - return 100; - case 'D': - return 500; - case 'M': - return 1000; - default: - return 0; - } -}; -``` diff --git "a/example/\345\255\227\347\254\246\344\270\262/151.\345\217\215\350\275\254\345\255\227\347\254\246\344\270\262\344\270\255\347\232\204\345\215\225\350\257\215.md" "b/example/\345\255\227\347\254\246\344\270\262/151.\345\217\215\350\275\254\345\255\227\347\254\246\344\270\262\344\270\255\347\232\204\345\215\225\350\257\215.md" deleted file mode 100644 index 78e2e60..0000000 --- "a/example/\345\255\227\347\254\246\344\270\262/151.\345\217\215\350\275\254\345\255\227\347\254\246\344\270\262\344\270\255\347\232\204\345\215\225\350\257\215.md" +++ /dev/null @@ -1,73 +0,0 @@ -## [151.反转字符串中的单词](https://leetcode.cn/problems/reverse-words-in-a-string/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 先将 单词 split(分割)成数组,然后对数组进行反转,在join就行 - -```js -/** - * @param {string} s - * @return {string} - */ -var reverseWords = function (s) { - return s.trim().split(/\s+/).reverse().join(' '); -}; -``` - -翻转两次,一次整体翻转,一次对单词进行单独翻转 - -
- -
图解
-
- -```js -/** - * @param {string} s - * @return {string} - */ -var reverseWords = function (s) { - let trimStr = []; - // 去除前后空格和 中间的相邻空格 - for (const c of s.trim()) { - if (c !== ' ') { - trimStr.push(c) - } else if (trimStr.length !== 0 && trimStr[trimStr.length - 1] !== ' ') { - trimStr.push(' ') - } - } - - // 翻转arr [i,j]的内容 - const reverse = (arr, i, j) => { - while (i < j) { - const temp = arr[i]; - arr[i] = arr[j]; - arr[j] = temp; - i++; - j--; - } - } - // 先反转整体 - const n = trimStr.length; - reverse(trimStr, 0, n - 1); - // 再翻转每个单词 - - let start = 0, end = 0; - while (start < n) { - while (end < n && trimStr[end] != ' ') { - end++; - } - // while结束,end指向空格 - - // 翻转单个单词 - reverse(trimStr, start, end - 1); - start = end + 1; // 将start定位到新的开头[end+1]的位置 - end++; // end也指向新的开头 - } - // join - return trimStr.join('') -}; -``` - diff --git "a/example/\345\255\227\347\254\246\344\270\262/387.\345\255\227\347\254\246\344\270\262\344\270\255\347\232\204\347\254\254\344\270\200\344\270\252\345\224\257\344\270\200\345\255\227\347\254\246.md" "b/example/\345\255\227\347\254\246\344\270\262/387.\345\255\227\347\254\246\344\270\262\344\270\255\347\232\204\347\254\254\344\270\200\344\270\252\345\224\257\344\270\200\345\255\227\347\254\246.md" deleted file mode 100644 index 5368629..0000000 --- "a/example/\345\255\227\347\254\246\344\270\262/387.\345\255\227\347\254\246\344\270\262\344\270\255\347\232\204\347\254\254\344\270\200\344\270\252\345\224\257\344\270\200\345\255\227\347\254\246.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [387.字符串中的第一个唯一字符](https://leetcode.cn/problems/first-unique-character-in-a-string/) easy - -考察map的使用 -跟[剑指 Offer 50. 第一个只出现一次的字符](https://leetcode.cn/problems/di-yi-ge-zhi-chu-xian-yi-ci-de-zi-fu-lcof/)相似 - -```js -/** - * @param {string} s - * @return {number} - */ -var firstUniqChar = function (s) { - let map = new Map(); - for (const item of s) { - if (map.has(item)) { - // 已经出现过就累加 - map.set(item, map.get(item) + 1); - } else { - map.set(item, 1); - } - } - - let res = -1; - for (let [key, value] of map) { - if (value === 1) { - return res = s.indexOf(key); - } - } - - return res; -}; -``` diff --git "a/example/\345\255\227\347\254\246\344\270\262/392.\345\210\244\346\226\255\345\255\220\345\272\217\345\210\227.md" "b/example/\345\255\227\347\254\246\344\270\262/392.\345\210\244\346\226\255\345\255\220\345\272\217\345\210\227.md" deleted file mode 100644 index b1be062..0000000 --- "a/example/\345\255\227\347\254\246\344\270\262/392.\345\210\244\346\226\255\345\255\220\345\272\217\345\210\227.md" +++ /dev/null @@ -1,24 +0,0 @@ -## [392.判断子序列](https://leetcode.cn/problems/is-subsequence/) easy - -双指针解法 - -```js -/** - * @param {string} s - * @param {string} t - * @return {boolean} - */ -var isSubsequence = function (s, t) { - let p1 = 0, // p1为s的头指针 - p2 = 0; // p2为t的头指针 - - while (p1 < s.length && p2 < t.length) { - if (s[p1] === t[p2]) { - p1++; - } - p2++; - } - - return p1 === s.length; -}; -``` diff --git "a/example/\345\255\227\347\254\246\344\270\262/8.\345\255\227\347\254\246\344\270\262\350\275\254\346\215\242\346\225\264\346\225\260-atoi.md" "b/example/\345\255\227\347\254\246\344\270\262/8.\345\255\227\347\254\246\344\270\262\350\275\254\346\215\242\346\225\264\346\225\260-atoi.md" deleted file mode 100644 index e4fd10e..0000000 --- "a/example/\345\255\227\347\254\246\344\270\262/8.\345\255\227\347\254\246\344\270\262\350\275\254\346\215\242\346\225\264\346\225\260-atoi.md" +++ /dev/null @@ -1,113 +0,0 @@ -## [8.字符串转换整数-atoi](https://leetcode.cn/problems/string-to-integer-atoi/) medium - -1.常规解法 -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路: -- 去除空格,(可以用 trim 或者,指针偏移) -- 判断正负(使用 flag 标记)然后指针偏移,越过正负号 -- 然后遍历这个字符串,当 ptr\< length 且是一个数字的时候 -- 累加这个数值,指针后移动 -- 最后进行正负号判断和越界判断即可 - -```js -/** - * @param {string} s - * @return {number} - */ -var myAtoi = function (s) { - let ptr = 0; - let resNumber = 0; - let flag = 1; // 1为正数 - // while (s[ptr] === " ") { ptr++; } - s = s.trim(); - if (s[ptr] === '-') { - flag = 0; - } - if (s[ptr] === '-' || s[ptr] === '+') { - ptr++; - } - - while (ptr < s.length && isNumber(s[ptr])) { - resNumber += s[ptr]; - ptr++; - } - let res = flag ? Number(resNumber) : -Number(resNumber); - resNumber = isNaN(res) ? 0 : res; - if (resNumber >= Math.pow(2, 31)) return Math.pow(2, 31) - 1; - if (resNumber < -Math.pow(2, 31)) return -Math.pow(2, 31); - return resNumber; -}; - -let strNumber = []; // ["0","1","2"....,"9"] -for (let i = 0; i <= 9; i++) { - strNumber[i] = String(i); -} -// 判断是否为一个数组 -const isNumber = (s) => { - return strNumber.indexOf(s) !== -1; -}; -``` - -2.状态机流转 - -```js -class Atoi { - constructor() { - this.flag = 1; // 1表示正 - this.sumStr = ''; - this.state = 'start'; - // " " ,"+/-","number","other" - this.map = new Map([ - ['start', ['start', 'single', 'is_number', 'end']], - ['single', ['end', 'end', 'is_number', 'end']], - ['is_number', ['end', 'end', 'is_number', 'end']], - ['end', ['end', 'end', 'end', 'end']], - ]); - } - get_state(c) { - if (c === ' ') return 0; - if (c === '+' || c === '-') return 1; - if (isNumber(c)) return 2; - return 3; - } - get(c) { - this.state = this.map.get(this.state)[this.get_state(c)]; - if (this.state === 'single') { - this.flag = c === '-' ? 0 : 1; - } else if (this.state === 'is_number') { - this.sumStr += c; - } - } -} - -var myAtoi1 = function (s) { - let atoi = new Atoi(); - for (let c of s) { - atoi.get(c); - } - let resNumber = atoi.flag ? Number(atoi.sumStr) : -Number(atoi.sumStr); - if (resNumber >= Math.pow(2, 31)) return Math.pow(2, 31) - 1; - if (resNumber < -Math.pow(2, 31)) return -Math.pow(2, 31); - return resNumber; -}; -``` - -3.使用正则表达式 - -- ^[\+\-] 表示以+或-开头 -- ^[\+\-]? 表示以+或-开头,但是可以不写 -- \d 表示数字 -- +表示一次或多次 - -```js -var myAtoi2 = function (s) { - s = s.trim(); - let Regx = /^[\+\-]?\d+/; - let resNumber = s.match(Regx); - if (resNumber >= Math.pow(2, 31)) return Math.pow(2, 31) - 1; - if (resNumber < -Math.pow(2, 31)) return -Math.pow(2, 31); - return resNumber; -}; -``` diff --git "a/example/\346\216\222\345\272\217/215.\346\225\260\347\273\204\344\270\255\347\232\204\347\254\254k\344\270\252\346\234\200\345\244\247\345\205\203\347\264\240.js" "b/example/\346\216\222\345\272\217/215.\346\225\260\347\273\204\344\270\255\347\232\204\347\254\254k\344\270\252\346\234\200\345\244\247\345\205\203\347\264\240.js" deleted file mode 100644 index 77d53d6..0000000 --- "a/example/\346\216\222\345\272\217/215.\346\225\260\347\273\204\344\270\255\347\232\204\347\254\254k\344\270\252\346\234\200\345\244\247\345\205\203\347\264\240.js" +++ /dev/null @@ -1,141 +0,0 @@ -/* - * @lc app=leetcode.cn id=215 lang=javascript - * - * [215] 数组中的第K个最大元素 - */ - -// @lc code=start - -// 快速搜索 - -// - 首先,针对已经排好序的数组,第k大,就是nums\[len-k\]位置上的元素,后序称为k' -// - 在快排分区时,其实已经为p找到自己在数组中正确对应的位置 -// - 若k' > p,说明要找的元素在p的右半部分,也就是lo=p+1 -// - 若k' < p,说明要找的元素在p的左半部分,也就是hi=p-1 -// - 然后递归,直到p的位置刚好是k',直接返回这个位置上的元素即可 - -/** - * @param {number[]} nums - * @param {number} k - * @return {number} - */ - var findKthLargest = function (nums, k) { - let lo = 0, hi = nums.length - 1, targetIndex = nums.length - k; - - while (lo <= hi) { - const p = partition(nums, lo, hi); - if (targetIndex > p) { - lo = p + 1; - } else if (targetIndex < p) { - hi = p - 1; - } else { - return nums[p]; - } - } - - return -1; -}; - -const partition = (nums, lo, hi) => { - let p = nums[lo]; - let i = lo + 1, j = hi; - while (i <= j) { - while (i < hi && nums[i] <= p) { - i++; - } - while (j > lo && nums[j] > p) { - j--; - } - if (i >= j) { - break; - } - swap(nums, i, j); - } - swap(nums, lo, j); - return j; -} - -const swap = (nums, i, j) => { - const temp = nums[i]; - nums[i] = nums[j]; - nums[j] = temp; -} - - - -// -----------------最小堆解法---------------------- -// var findKthLargest = function (nums, k) { -// const heap = new MinHeap(); -// nums.forEach((item) => { -// heap.insert(item); -// if (heap.size() > k) { -// heap.pop(); -// } -// }); -// return heap.peek(); -// }; - -// class MinHeap { -// constructor() { -// this.heap = []; -// } - -// getParentIndex(i) { -// return (i - 1) >> 1; -// } - -// getLeftIndex(i) { -// return i * 2 + 1; -// } - -// getRightIndex(i) { -// return i * 2 + 2; -// } - -// swap(i, j) { -// let temp = this.heap[j]; -// this.heap[j] = this.heap[i]; -// this.heap[i] = temp; -// } - -// shiftUp(index) { -// if (index === 0) return; -// let parentIndex = this.getParentIndex(index); -// if (this.heap[parentIndex] > this.heap[index]) { -// this.swap(parentIndex, index); -// this.shiftUp(parentIndex); -// } -// } - -// shiftDown(index) { -// let leftIndex = this.getLeftIndex(index); -// let rightIndex = this.getRightIndex(index); -// if (this.heap[leftIndex] < this.heap[index]) { -// this.swap(leftIndex, index); -// this.shiftDown(leftIndex); -// } -// if (this.heap[rightIndex] < this.heap[index]) { -// this.swap(rightIndex, index); -// this.shiftDown(rightIndex); -// } -// } - -// insert(val) { -// this.heap.push(val); -// this.shiftUp(this.heap.length - 1); -// } - -// pop() { -// this.heap[0] = this.heap.pop(); -// this.shiftDown(0); -// } - -// size() { -// return this.heap.length; -// } - -// peek() { -// return this.heap[0]; -// } -// } -// @lc code=end diff --git "a/example/\346\216\222\345\272\217/315.\350\256\241\347\256\227\345\217\263\344\276\247\345\260\217\344\272\216\345\275\223\345\211\215\345\205\203\347\264\240\347\232\204\344\270\252\346\225\260.js" "b/example/\346\216\222\345\272\217/315.\350\256\241\347\256\227\345\217\263\344\276\247\345\260\217\344\272\216\345\275\223\345\211\215\345\205\203\347\264\240\347\232\204\344\270\252\346\225\260.js" deleted file mode 100644 index f0dbbbf..0000000 --- "a/example/\346\216\222\345\272\217/315.\350\256\241\347\256\227\345\217\263\344\276\247\345\260\217\344\272\216\345\275\223\345\211\215\345\205\203\347\264\240\347\232\204\344\270\252\346\225\260.js" +++ /dev/null @@ -1,58 +0,0 @@ -/* - * @lc app=leetcode.cn id=315 lang=javascript - * - * [315] 计算右侧小于当前元素的个数 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @return {number[]} - */ -var countSmaller = function (nums) { - const len = nums.length; - const counts = new Array(len).fill(0); - const temp = new Array(len); - const arr = new Array(len); - for (let i = 0; i < len; i++) { - arr[i] = { - index: i, - val: nums[i], - }; - } - const merge = (lo, mid, hi) => { - for (let i = lo; i <= hi; i++) { - temp[i] = arr[i]; - } - - let i = lo, - j = mid + 1; - for (let p = lo; p <= hi; p++) { - if (i === mid + 1) { - arr[p] = temp[j++]; - } else if (j === hi + 1) { - arr[p] = temp[i++]; - counts[arr[p].index] += j - (mid + 1); - } else if (temp[i].val > temp[j].val) { - arr[p] = temp[j++]; - } else { - arr[p] = temp[i++]; - counts[arr[p].index] += j - (mid + 1); - } - } - }; - - const sort = (lo, hi) => { - if (lo === hi) return; - let mid = Math.floor(lo + (hi - lo) / 2); - - sort(lo, mid); - sort(mid + 1, hi); - merge(lo, mid, hi); - }; - - sort(0, len - 1); - - return counts; -}; -// @lc code=end diff --git "a/example/\346\216\222\345\272\217/327.\345\214\272\351\227\264\345\222\214\347\232\204\344\270\252\346\225\260.js" "b/example/\346\216\222\345\272\217/327.\345\214\272\351\227\264\345\222\214\347\232\204\344\270\252\346\225\260.js" deleted file mode 100644 index fc2c942..0000000 --- "a/example/\346\216\222\345\272\217/327.\345\214\272\351\227\264\345\222\214\347\232\204\344\270\252\346\225\260.js" +++ /dev/null @@ -1,78 +0,0 @@ -/* - * @lc app=leetcode.cn id=327 lang=javascript - * - * [327] 区间和的个数 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @param {number} lower - * @param {number} upper - * @return {number} - */ -var countRangeSum = function (nums, lower, upper) { - const len = nums.length; - let preSum = new Array(len + 1).fill(0); - const temp = new Array(preSum.length); - for (let i = 0; i < len; i++) { - preSum[i + 1] = nums[i] + preSum[i]; - } - - let count = 0; - - const merge = (nums, lo, mid, hi) => { - for (let i = lo; i <= hi; i++) { - temp[i] = nums[i]; - } - - // // 这段代码会超时 - // for (let i = lo; i <= mid; i++) { - // for (let j = mid + 1; j <= hi; j++) { - // const diff = nums[j] - nums[i]; - // if (diff >= lower && diff <= upper) { - // count++; - // } - // } - // } - - let start = mid + 1; - let end = mid + 1; - for (let i = lo; i <= mid; i++) { - while (start <= hi && nums[start] - nums[i] < lower) { - start++; - } - while (end <= hi && nums[end] - nums[i] <= upper) { - end++; - } - count += end - start; - } - - let i = lo, - j = mid + 1; - for (let p = lo; p <= hi; p++) { - if (i === mid + 1) { - nums[p] = temp[j++]; - } else if (j === hi + 1) { - nums[p] = temp[i++]; - } else if (temp[i] > temp[j]) { - nums[p] = temp[j++]; - } else { - nums[p] = temp[i++]; - } - } - }; - - const sort = (nums, lo, hi) => { - if (lo === hi) return; - const mid = Math.floor(lo + (hi - lo) / 2); - sort(nums, lo, mid); - sort(nums, mid + 1, hi); - merge(nums, lo, mid, hi); - }; - - sort(preSum, 0, preSum.length - 1); - - return count; -}; -// @lc code=end diff --git "a/example/\346\216\222\345\272\217/493.\347\277\273\350\275\254\345\257\271.js" "b/example/\346\216\222\345\272\217/493.\347\277\273\350\275\254\345\257\271.js" deleted file mode 100644 index 1d4fb32..0000000 --- "a/example/\346\216\222\345\272\217/493.\347\277\273\350\275\254\345\257\271.js" +++ /dev/null @@ -1,61 +0,0 @@ -/* - * @lc app=leetcode.cn id=493 lang=javascript - * - * [493] 翻转对 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @return {number} - */ -var reversePairs = function (nums) { - const len = nums.length; - const temp = new Array(len); - let count = 0; - - const merge = (lo, mid, hi) => { - for (let i = lo; i <= hi; i++) { - temp[i] = nums[i]; - } - - // ----左右数组有序之后---- - let start = lo, - end = mid + 1; - - while (start <= mid && end <= hi) { - if (nums[start] > 2 * nums[end]) { - count += mid + 1 - start; - end++; - } else { - start++; - } - } - - // ----合并之前---- - let i = lo, - j = mid + 1; - for (let p = lo; p <= hi; p++) { - if (i === mid + 1) { - nums[p] = temp[j++]; - } else if (j === hi + 1) { - nums[p] = temp[i++]; - } else if (temp[i] > temp[j]) { - nums[p] = temp[j++]; - } else { - nums[p] = temp[i++]; - } - } - }; - - const sort = (lo, hi) => { - if (lo === hi) return; - const mid = Math.floor(lo + (hi - lo) / 2); - sort(lo, mid); - sort(mid + 1, hi); - merge(lo, mid, hi); - }; - sort(0, len - 1); - return count; -}; -// @lc code=end diff --git "a/example/\346\216\222\345\272\217/912.\346\216\222\345\272\217\346\225\260\347\273\204.js" "b/example/\346\216\222\345\272\217/912.\346\216\222\345\272\217\346\225\260\347\273\204.js" deleted file mode 100644 index 8e507ff..0000000 --- "a/example/\346\216\222\345\272\217/912.\346\216\222\345\272\217\346\225\260\347\273\204.js" +++ /dev/null @@ -1,116 +0,0 @@ -/* - * @lc app=leetcode.cn id=912 lang=javascript - * - * [912] 排序数组 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @return {number[]} - */ - -var sortArray = function (nums) { - const temp = new Array(nums.length); - - const merge = function (lo, mid, hi) { - for (let i = lo; i <= hi; i++) { - temp[i] = nums[i]; - } - - let i = lo, - j = mid + 1; - - for (let p = lo; p <= hi; p++) { - if (i === mid + 1) { - nums[p] = temp[j++]; - } else if (j === hi + 1) { - nums[p] = temp[i++]; - } else if (temp[j] < temp[i]) { - nums[p] = temp[j++]; - } else { - nums[p] = temp[i++]; - } - } - }; - - const sort = (lo, hi) => { - if (lo === hi) return; - const mid = Math.floor(lo + (hi - lo) / 2); - - // [lo,mid]有序 - sort(lo, mid); - // [mid+1,hi]有序 - sort(mid + 1, hi); - // 合并两个有序数组 - merge(lo, mid, hi); - }; - - sort(0, nums.length - 1); - - return nums; -}; - -// 归并排序--使用了shift方法,比较慢 -// var sortArray = function (nums) { -// if (nums.length <= 1) return nums; -// let mid = Math.floor(nums.length / 2); -// let left = sortArray(nums.slice(0, mid)); -// let right = sortArray(nums.slice(mid)); -// return merge(left, right); -// }; -// const merge = (left, right) => { -// let res = []; -// while (left.length && right.length) { -// res.push(left[0] < right[0] ? left.shift() : right.shift()); -// } -// return res.concat(left, right); -// }; -// @lc code=end - - -var sortArray = function (nums) { - quickSort(nums, 0, nums.length - 1); - return nums; -}; - -// // 快速排序 -// const quickSort = (nums, lo, hi) => { -// if (lo >= hi) return; - -// // 对[lo,hi]根据p进行划分 -// // nums[lo,p-1] <= nums[p] < nums[p,hi]; -// const p = partition(nums, lo, hi); - -// quickSort(nums, lo, p - 1); -// quickSort(nums, p + 1, hi); -// } - -// // 对[lo,hi]进行区分 -// const partition = (nums, lo, hi) => { -// let p = nums[lo]; -// let i = lo + 1, j = hi; -// while (i <= j) { -// while (i < hi && nums[i] <= p) { -// i++; -// // 结束时,nums[i] > p -// } -// while (j > lo && nums[j] > p) { -// j--; -// // 结束时,nums[j] <= p; -// } -// // 此时 nums[i] <= p < nums[j] -// if (i >= j) { -// break; -// } -// swap(nums, i, j); -// } -// swap(nums, lo, j); -// return j; -// } - -// const swap = (nums, i, j) => { -// const temp = nums[i]; -// nums[i] = nums[j]; -// nums[j] = temp; -// } \ No newline at end of file diff --git "a/example/\346\225\260\345\255\246/233.\346\225\260\345\255\2271\347\232\204\344\270\252\346\225\260.md" "b/example/\346\225\260\345\255\246/233.\346\225\260\345\255\2271\347\232\204\344\270\252\346\225\260.md" deleted file mode 100644 index 095c26b..0000000 --- "a/example/\346\225\260\345\255\246/233.\346\225\260\345\255\2271\347\232\204\344\270\252\346\225\260.md" +++ /dev/null @@ -1,30 +0,0 @@ -## [233.数字 1 的个数](https://leetcode.cn/problems/number-of-digit-one/) hard - -[官方题解](https://leetcode.cn/problems/1nzheng-shu-zhong-1chu-xian-de-ci-shu-lcof/solution/1n-zheng-shu-zhong-1-chu-xian-de-ci-shu-umaj8/) - -
- -
公式
-
- -跟[剑指 Offer43.1 ~ n 整数中 1 出现的次数](/js-logs/sword-point-offer#剑指-offer-43-1n-整数中-1-出现的次数)相同 - -```js -/** - * @param {number} n - * @return {number} - */ -var countDigitOne = function (n) { - let digit = 1; // 位因子 - let res = 0; - - for (let k = 0; digit <= n; k++) { - let forwardDigit = digit * 10; - res += - Math.floor(n / forwardDigit) * digit + - Math.min(Math.max((n % forwardDigit) - digit + 1, 0), digit); - digit *= 10; - } - return res; -}; -``` diff --git "a/example/\346\225\260\345\255\246/400.\347\254\254N\344\275\215\346\225\260\345\255\227.md" "b/example/\346\225\260\345\255\246/400.\347\254\254N\344\275\215\346\225\260\345\255\227.md" deleted file mode 100644 index 7c4124a..0000000 --- "a/example/\346\225\260\345\255\246/400.\347\254\254N\344\275\215\346\225\260\345\255\227.md" +++ /dev/null @@ -1,35 +0,0 @@ -## [400.第 N 位数字](https://leetcode.cn/problems/nth-digit/) medium - -```js -/** - * @param {number} n - * @return {number} - */ -// 先求出数字的长度 -// 规律 -// [1..9] = 9 * 1个数 => 9 * 1 * 1 => 9 * 10^0 * 1 -// [10..99] = 90 * 2个数 => 9 * 10 * 2 => 9 * 10^1 * 2 -// [100..999] = 900 * 3个数 => 9 * 100 * 3 => 9 * 10^2 * 3 -// [1000..9999] = 9000 * 4个数 => 9 * 1000 * 4 => 9 * 10^3 * 4 -var findNthDigit = function (n) { - let k = 1; // 表明当前是 几位数字: 9=>1, 99=>2 ... - let digit = 1; // 表示位因数: 9=>1,99=>10 .. - while (n - 9 * digit * k >= 0) { - n = n - 9 * digit * k; - k++; - digit *= 10; - } - - let target = Math.pow(10, k - 1) + Math.floor(n / k); // 第n位所在的数字 - let index = n % k; // 在target中的第几位 - - // index:0 说明【第n位的数字】位于target前一个数字的最后一位 - if (index === 0) { - let str = String(target - 1); - return Number(str[str.length - 1]); - } else { - let str = String(target); - return Number(str[index - 1]); - } -}; -``` diff --git "a/example/\346\225\260\345\255\246/50.pow-x-n.md" "b/example/\346\225\260\345\255\246/50.pow-x-n.md" deleted file mode 100644 index dce999b..0000000 --- "a/example/\346\225\260\345\255\246/50.pow-x-n.md" +++ /dev/null @@ -1,26 +0,0 @@ -## [50.pow-x-n](https://leetcode.cn/problems/powx-n/) medium - -```js -/** - * @param {number} x - * @param {number} n - * @return {number} - */ -var myPow = function (x, n) { - if (n === 0) return 1; - - // n是负数 - if (n < 0) { - return myPow(1 / x, -n); - } - - // n是奇数 - if (n % 2 === 1) { - return x * myPow(x, n - 1); - } else { - // n 是偶数 - const sub = myPow(x, n / 2); - return sub * sub; - } -}; -``` diff --git "a/example/\346\225\260\347\273\204/1034.\350\276\271\347\225\214\347\235\200\350\211\262.md" "b/example/\346\225\260\347\273\204/1034.\350\276\271\347\225\214\347\235\200\350\211\262.md" deleted file mode 100644 index 93032fa..0000000 --- "a/example/\346\225\260\347\273\204/1034.\350\276\271\347\225\214\347\235\200\350\211\262.md" +++ /dev/null @@ -1,54 +0,0 @@ -## [1034.边界着色](https://leetcode.cn/problems/coloring-a-border/) medium - -```js -/** - * @param {number[][]} grid - * @param {number} row - * @param {number} col - * @param {number} color - * @return {number[][]} - */ -// 深度优先 -var colorBorder = function (grid, row, col, color) { - const m = grid.length, - n = grid[0].length; - const origColor = grid[row][col]; - const visited = new Array(m).fill().map((_) => new Array(n).fill(0)); - visited[row][col] = true; - const borders = []; - - const direct = [ - [0, -1], - [0, 1], - [-1, 0], - [1, 0], - ]; - const dfs = (i, j) => { - let isBorder = false; - for (let z = 0; z < 4; z++) { - const x = direct[z][0] + i, - y = direct[z][1] + j; - // 找出边界 - if (!(x >= 0 && y >= 0 && x < m && y < n && grid[x][y] === origColor)) { - // 重点 - isBorder = true; - } else if (!visited[x][y]) { - visited[x][y] = true; - dfs(x, y); - } - } - if (isBorder) { - borders.push([i, j]); - } - }; - dfs(row, col); - - for (let i = 0; i < borders.length; i++) { - const x = borders[i][0], - y = borders[i][1]; - grid[x][y] = color; - } - - return grid; -}; -``` diff --git "a/example/\346\225\260\347\273\204/169.\345\244\232\346\225\260\345\205\203\347\264\240.md" "b/example/\346\225\260\347\273\204/169.\345\244\232\346\225\260\345\205\203\347\264\240.md" deleted file mode 100644 index d077d99..0000000 --- "a/example/\346\225\260\347\273\204/169.\345\244\232\346\225\260\345\205\203\347\264\240.md" +++ /dev/null @@ -1,18 +0,0 @@ -## [169.多数元素](https://leetcode.cn/problems/majority-element/) easy - -时间复杂度 O(N\*logN) -空间复杂度 O(logN) - -- 思路 -- 排序后,取中间元素,无论数字长度是奇偶,都是超过一半的数字 - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var majorityElement = function (nums) { - const sort = nums.sort((a, b) => a - b); - return sort[nums.length >> 1]; -}; -``` diff --git "a/example/\346\225\260\347\273\204/189.\350\275\256\350\275\254\346\225\260\347\273\204.md" "b/example/\346\225\260\347\273\204/189.\350\275\256\350\275\254\346\225\260\347\273\204.md" deleted file mode 100644 index ab8431a..0000000 --- "a/example/\346\225\260\347\273\204/189.\350\275\256\350\275\254\346\225\260\347\273\204.md" +++ /dev/null @@ -1,31 +0,0 @@ -## [189.轮转数组](https://leetcode.cn/problems/rotate-array/) medium - -```js -/** - * @param {number[]} nums - * @param {number} k - * @return {void} Do not return anything, modify nums in-place instead. - */ -var rotate = function (nums, k) { - if (nums.length === 1) return nums; - k = k % nums.length; - let spliceStart = nums.length - k; - let kNums = nums.splice(spliceStart); - if (spliceStart < 0) { - reverse(nums, 0, nums.length - 1); - } - nums.unshift(...kNums); -}; -const reverse = (arr, start, end) => { - while (start < end) { - [arr[start++], arr[end--]] = [end, start]; - } -}; - -var rotate1 = function (nums, k) { - const n = nums.length; - const move = n - (k % n); - const endNums = nums.splice(move); - nums.unshift(...endNums); -}; -``` diff --git "a/example/\346\225\260\347\273\204/240.\346\220\234\347\264\242\344\272\214\347\273\264\347\237\251\351\230\265-ii.md" "b/example/\346\225\260\347\273\204/240.\346\220\234\347\264\242\344\272\214\347\273\264\347\237\251\351\230\265-ii.md" deleted file mode 100644 index f4b622d..0000000 --- "a/example/\346\225\260\347\273\204/240.\346\220\234\347\264\242\344\272\214\347\273\264\347\237\251\351\230\265-ii.md" +++ /dev/null @@ -1,35 +0,0 @@ -## [240.搜索二维矩阵-ii](https://leetcode.cn/problems/search-a-2d-matrix-ii/) medium - -- 思路 -- 根据 每行从左到右递增, 从上到下递减的规律 -- 左上角最大,右上角最小 -- 假如从左上角开始,不管向哪个方向走,元素都是在递增的 -- 所以我们从右上角出发更好一点,从上到下递增,从右到左递减 - -```js -/** - * @param {number[][]} matrix - * @param {number} target - * @return {boolean} - */ -var searchMatrix = function (matrix, target) { - const m = matrix.length, - n = matrix[0].length; - - // 初始化i,j为右上角元素 - let i = 0, - j = n - 1; - while (i < m && j >= 0) { - if (matrix[i][j] === target) { - return true; - } else if (matrix[i][j] > target) { - // 需要小一点,j-- - j--; - } else if (matrix[i][j] < target) { - // 需要大一点,i++ - i++; - } - } - return false; -}; -``` diff --git "a/example/\346\225\260\347\273\204/442.\346\225\260\347\273\204\344\270\255\351\207\215\345\244\215\347\232\204\346\225\260\346\215\256.md" "b/example/\346\225\260\347\273\204/442.\346\225\260\347\273\204\344\270\255\351\207\215\345\244\215\347\232\204\346\225\260\346\215\256.md" deleted file mode 100644 index 9a5c3bf..0000000 --- "a/example/\346\225\260\347\273\204/442.\346\225\260\347\273\204\344\270\255\351\207\215\345\244\215\347\232\204\346\225\260\346\215\256.md" +++ /dev/null @@ -1,29 +0,0 @@ -## [442.数组中重复的数据](https://leetcode.cn/problems/find-all-duplicates-in-an-array/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 使用 set 内元素不重复的特点 -- 遍历数组,若 set 内没有 num,则向 set 内添加 -- 如果 set 内已经有 num 了,那么 num 就是重复的添加到 res 中 -- 跟[剑指 Offer 03. 数组中重复的数字](/js-logs/sword-point-offer#剑指-offer-03-数组中重复的数字)思路类似 - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var findDuplicates = function (nums) { - const set = new Set(); - const res = []; - for (const num of nums) { - if (set.has(num)) { - res.push(num); - } else { - set.add(num); - } - } - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/448.\346\211\276\345\210\260\346\211\200\346\234\211\346\225\260\347\273\204\344\270\255\346\266\210\345\244\261\347\232\204\346\225\260\345\255\227.md" "b/example/\346\225\260\347\273\204/448.\346\211\276\345\210\260\346\211\200\346\234\211\346\225\260\347\273\204\344\270\255\346\266\210\345\244\261\347\232\204\346\225\260\345\255\227.md" deleted file mode 100644 index 847d7d3..0000000 --- "a/example/\346\225\260\347\273\204/448.\346\211\276\345\210\260\346\211\200\346\234\211\346\225\260\347\273\204\344\270\255\346\266\210\345\244\261\347\232\204\346\225\260\345\255\227.md" +++ /dev/null @@ -1,59 +0,0 @@ -## [448.找到所有数组中消失的数字](https://leetcode.cn/problems/find-all-numbers-disappeared-in-an-array/) easy - -时间复杂度 O(N^2) - -- 思路 -- 构建一个数组,元素是[1,n] -- 循环这个数组,查找 nums 中是否存在 构建数组中的元素 -- 若不存在,说明 nums 中缺失这个元素,加入结果数组返回 - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var findDisappearedNumbers = function (nums) { - const arr = Array(nums.length) - .fill() - .map((_, index) => index + 1); - let res = []; - - for (let i = 0; i < arr.length; i++) { - if (nums.indexOf(arr[i]) === -1) { - res.push(arr[i]); - } - } - - return res; -}; -``` - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 观察发现,其实数组的索引,其实就是我们思路一中构建的数组 -- 所以可以先统计 nums 中的元素在「数组对应位置」中出现的次数,若没有出现,次数就是 0 -- 然后根据索引去寻找元素,若该位置次数是 0,那就表示该索引是缺失的元素 - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var findDisappearedNumbers = function (nums) { - const n = nums.length; - const count = Array(n + 1).fill(0); - for (let num of nums) { - count[num]++; - } - - const res = []; - for (let i = 1; i <= n; i++) { - if (count[i] === 0) { - res.push(i); - } - } - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/542.01\347\237\251\351\230\265.md" "b/example/\346\225\260\347\273\204/542.01\347\237\251\351\230\265.md" deleted file mode 100644 index 8f4359a..0000000 --- "a/example/\346\225\260\347\273\204/542.01\347\237\251\351\230\265.md" +++ /dev/null @@ -1,103 +0,0 @@ -## [542.01 矩阵](https://leetcode.cn/problems/01-matrix/) medium - -- 广度优先思路 -- 时间复杂度 空间复杂度都是 O(mn) -- 由于 0 到‘0’的距离就是 0 -- 可以先单独看,单独一个 0 到上下左右四个方向的,就是由 0 向外扩散+1 -- 所以可以采用广度遍历的方法 -- 先把所有的 0 找出来,同时使用 visited 表示已经访问(计算)过 -- 把找出来的 0 放入队列,然后单独的向外扩散,计算扩散的距离 -- 同时做访问标记,然后把计算的坐标也入队列,等所有 0 计算完,再往外扩散 1..以此类推 -- 若已经访问过(计算)过,则不需要二次计算 -- 这样向外扩散一遍后,可以保证计算出每个位置到最近的 0 的距离 - -```js -/** - * @param {number[][]} mat - * @return {number[][]} - */ -// 动态规划 -var updateMatrix = function (mat) { - const m = mat.length, - n = mat[0].length; - const dist = new Array(m).fill().map((_) => new Array(n).fill(Infinity)); - - // 先把0放入队列中 - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (mat[i][j] === 0) { - dist[i][j] = 0; - } - } - } - - // 水平向左,垂直向上 - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (i - 1 >= 0) { - dist[i][j] = Math.min(dist[i][j], dist[i - 1][j] + 1); - } - if (j - 1 >= 0) { - dist[i][j] = Math.min(dist[i][j], dist[i][j - 1] + 1); - } - } - } - // 水平向右,垂直向下 - for (let i = m - 1; i >= 0; i--) { - for (let j = n - 1; j >= 0; j--) { - if (i + 1 < m) { - dist[i][j] = Math.min(dist[i][j], dist[i + 1][j] + 1); - } - if (j + 1 < n) { - dist[i][j] = Math.min(dist[i][j], dist[i][j + 1] + 1); - } - } - } - - return dist; -}; - -/** - * @param {number[][]} mat - * @return {number[][]} - */ -// 广度优先遍历 -var updateMatrix1 = function (mat) { - const m = mat.length, - n = mat[0].length; - const dist = new Array(m).fill().map((_) => new Array(n).fill(0)); - const visited = new Array(m).fill().map((_) => new Array(n).fill(false)); - const q = []; - const direction = [ - [-1, 0], - [1, 0], - [0, -1], - [0, 1], - ]; - - // 先把0放入队列中 - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (mat[i][j] === 0) { - q.push([i, j]); - visited[i][j] = true; - } - } - } - - while (q.length) { - const [i, j] = q.shift(); - for (let d = 0; d < 4; d++) { - let ni = direction[d][0] + i; - let nj = direction[d][1] + j; - if (ni >= 0 && nj >= 0 && ni < m && nj < n && !visited[ni][nj]) { - dist[ni][nj] = dist[i][j] + 1; - q.push([ni, nj]); - visited[ni][nj] = true; - } - } - } - - return dist; -}; -``` diff --git "a/example/\346\225\260\347\273\204/88.\345\220\210\345\271\266\344\270\244\344\270\252\346\234\211\345\272\217\346\225\260\347\273\204.md" "b/example/\346\225\260\347\273\204/88.\345\220\210\345\271\266\344\270\244\344\270\252\346\234\211\345\272\217\346\225\260\347\273\204.md" deleted file mode 100644 index 2837149..0000000 --- "a/example/\346\225\260\347\273\204/88.\345\220\210\345\271\266\344\270\244\344\270\252\346\234\211\345\272\217\346\225\260\347\273\204.md" +++ /dev/null @@ -1,56 +0,0 @@ -## [88.合并两个有序数组](https://leetcode.cn/problems/merge-sorted-array/) easy - -时间复杂度 O(n) - -- 双指针法,从头开始对比,将对比结果放入一个新数组中, -- 然后再根据新数组的结果,改变 nums1 - -```js -/** - * @param {number[]} nums1 - * @param {number} m - * @param {number[]} nums2 - * @param {number} n - * @return {void} Do not return anything, modify nums1 in-place instead. - */ -// 双指针法 -var merge = function (nums1, m, nums2, n) { - let p1 = 0, - p2 = 0; - let sortArr = new Array(m + n).fill(0); - let cur; - while (p1 < m || p2 < n) { - let n1 = nums1[p1]; - let n2 = nums2[p2]; - if (p1 === m) { - // 当p1走到头 - cur = n2; - p2++; - } else if (p2 === n) { - // 当p2走到头 - cur = n1; - p1++; - } else if (n1 < n2) { - // 当n1小于n2,则当前数字为n1 - cur = n1; - p1++; - } else { - // 当n1大于n2,则当前数字为n2 - // 当n1等于n2,随意取一个,这里就取n2 - cur = n2; - p2++; - } - sortArr[p1 + p2 - 1] = cur; - } - - for (let i = 0; i < sortArr.length; i++) { - nums1[i] = sortArr[i]; - } -}; -// ---------------------------------------------------------------- -// 这里将nums2截取到nums1中,然后排序 -var merge1 = function (nums1, m, nums2, n) { - nums1.splice(m, n, ...nums2); - nums1.sort((a, b) => a - b); -}; -``` diff --git "a/example/\346\225\260\347\273\204/994.\350\205\220\347\203\202\347\232\204\346\251\230\345\255\220.md" "b/example/\346\225\260\347\273\204/994.\350\205\220\347\203\202\347\232\204\346\251\230\345\255\220.md" deleted file mode 100644 index 04a084c..0000000 --- "a/example/\346\225\260\347\273\204/994.\350\205\220\347\203\202\347\232\204\346\251\230\345\255\220.md" +++ /dev/null @@ -1,62 +0,0 @@ -## [994.腐烂的橘子](https://leetcode.cn/problems/rotting-oranges/) medium - -- 跟 [542.01 矩阵](#54201-矩阵)解法相似 -- 只变换橘子位置 -- 求最大的结果,如果有-1,返回-1 - -```js -/** - * @param {number[][]} grid - * @return {number} - */ -var orangesRotting = function (grid) { - const m = grid.length, - n = grid[0].length; - const dist = new Array(m).fill().map((_) => new Array(n).fill(0)); - const visited = new Array(m).fill().map((_) => new Array(n).fill(false)); - const q = []; - const direction = [ - [-1, 0], - [1, 0], - [0, -1], - [0, 1], - ]; - - // 先把2放入队列中 - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (grid[i][j] === 2) { - q.push([i, j]); - visited[i][j] = true; - } else if (grid[i][j] === 1) { - dist[i][j] = -1; // -1 表示新鲜橘子 - } - } - } - - while (q.length) { - const [i, j] = q.shift(); - for (let d = 0; d < 4; d++) { - let ni = direction[d][0] + i; - let nj = direction[d][1] + j; - if (ni >= 0 && nj >= 0 && ni < m && nj < n && !visited[ni][nj]) { - if (dist[ni][nj] === -1) { - dist[ni][nj] = dist[i][j] + 1; - q.push([ni, nj]); - visited[ni][nj] = true; - } - } - } - } - - let res = -1; - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (dist[i][j] === -1) return -1; - res = Math.max(res, dist[i][j]); - } - } - - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/48.\346\227\213\350\275\254\345\233\276\345\203\217.md" "b/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/48.\346\227\213\350\275\254\345\233\276\345\203\217.md" deleted file mode 100644 index 0df9eb3..0000000 --- "a/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/48.\346\227\213\350\275\254\345\233\276\345\203\217.md" +++ /dev/null @@ -1,41 +0,0 @@ -### [48.旋转图像](https://leetcode.cn/problems/rotate-image/) medium - -时间复杂度 O(N^2) 每一次翻转都需要遍历数组一半的元素,N 是数组的边长 -空间复杂度 O(1) - -- 思路 -- 先根据对角线镜像翻转,然后再翻转每一行 -- 即可达到顺时针旋转 90 度的效果 - -```js -/** - * @param {number[][]} matrix - * @return {void} Do not return anything, modify matrix in-place instead. - */ -var rotate = function (matrix) { - const n = matrix.length; - for (let i = 0; i < n; i++) { - for (let j = i; j < n; j++) { - const temp = matrix[i][j]; - matrix[i][j] = matrix[j][i]; - matrix[j][i] = temp; - } - } - - const reverse = (arr) => { - let i = 0, - j = arr.length - 1; - while (i < j) { - const temp = arr[i]; - arr[i] = arr[j]; - arr[j] = temp; - i++; - j--; - } - }; - - for (const row of matrix) { - reverse(row); - } -}; -``` diff --git "a/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/54.\350\236\272\346\227\213\347\237\251\351\230\265.md" "b/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/54.\350\236\272\346\227\213\347\237\251\351\230\265.md" deleted file mode 100644 index c679ae4..0000000 --- "a/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/54.\350\236\272\346\227\213\347\237\251\351\230\265.md" +++ /dev/null @@ -1,59 +0,0 @@ -### [54.螺旋矩阵](https://leetcode.cn/problems/spiral-matrix/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 限定好上下左右四个边界,然后每当遍历一边完成就收缩边界 - -```js -/** - * @param {number[][]} matrix - * @return {number[]} - */ -var spiralOrder = function (matrix) { - const m = matrix.length, - n = matrix[0].length; - let up_bound = 0, - low_bound = m - 1; - let left_bound = 0, - right_bound = n - 1; - const res = []; - // 当res.length == m*n时退出循环 - while (res.length < m * n) { - // 在上侧,⇒ 从左向右遍历 - if (up_bound <= low_bound) { - for (let j = left_bound; j <= right_bound; j++) { - res.push(matrix[up_bound][j]); - } - up_bound++; // 上边界收缩 - } - - // 在右侧,⇓ 从上向下遍历 - if (left_bound <= right_bound) { - for (let i = up_bound; i <= low_bound; i++) { - res.push(matrix[i][right_bound]); - } - right_bound--; // 右边界收缩 - } - - // 在下侧,⇐ 从右向左遍历 - if (up_bound <= low_bound) { - for (let j = right_bound; j >= left_bound; j--) { - res.push(matrix[low_bound][j]); - } - low_bound--; // 下边界收缩 - } - - // 在左侧,⇑ 从下向上遍历 - if (left_bound <= right_bound) { - for (let i = low_bound; i >= up_bound; i--) { - res.push(matrix[i][left_bound]); - } - left_bound++; - } - } - - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/59.\350\236\272\346\227\213\347\237\251\351\230\265II.md" "b/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/59.\350\236\272\346\227\213\347\237\251\351\230\265II.md" deleted file mode 100644 index 7863b60..0000000 --- "a/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/59.\350\236\272\346\227\213\347\237\251\351\230\265II.md" +++ /dev/null @@ -1,64 +0,0 @@ -### [59.螺旋矩阵 II](https://leetcode.cn/problems/spiral-matrix-ii/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 跟[54.螺旋矩阵](/js-logs/array#54螺旋矩阵)相似 -- 限定好上下左右四个边界,然后每当遍历一边完成就收缩边界 -- 每次遍历就把 num 填入在 matrix 中对应的位置 - -```js -/** - * @param {number} n - * @return {number[][]} - */ -var generateMatrix = function (n) { - const matrix = Array(n) - .fill() - .map(() => Array(n).fill(0)); - - let up_bound = 0, - low_bound = n - 1; - let left_bound = 0, - right_bound = n - 1; - let num = 1; - - // 当num == n*n时退出循环 - while (num <= n * n) { - // 在上侧,⇒ 从左向右遍历 - if (up_bound <= low_bound) { - for (let j = left_bound; j <= right_bound; j++) { - matrix[up_bound][j] = num++; - } - up_bound++; // 上边界收缩 - } - - // 在右侧,⇓ 从上向下遍历 - if (left_bound <= right_bound) { - for (let i = up_bound; i <= low_bound; i++) { - matrix[i][right_bound] = num++; - } - right_bound--; // 右边界收缩 - } - - // 在下侧,⇐ 从右向左遍历 - if (up_bound <= low_bound) { - for (let j = right_bound; j >= left_bound; j--) { - matrix[low_bound][j] = num++; - } - low_bound--; // 下边界收缩 - } - - // 在左侧,⇑ 从下向上遍历 - if (left_bound <= right_bound) { - for (let i = low_bound; i >= up_bound; i--) { - matrix[i][left_bound] = num++; - } - left_bound++; - } - } - - return matrix; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/\345\211\221\346\214\207Offer29.\351\241\272\346\227\266\351\222\210\346\211\223\345\215\260\347\237\251\351\230\265.md" "b/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/\345\211\221\346\214\207Offer29.\351\241\272\346\227\266\351\222\210\346\211\223\345\215\260\347\237\251\351\230\265.md" deleted file mode 100644 index be95379..0000000 --- "a/example/\346\225\260\347\273\204/\344\272\214\344\275\215\346\225\260\347\273\204\347\232\204\350\212\261\345\274\217\351\201\215\345\216\206\346\212\200\345\267\247/\345\211\221\346\214\207Offer29.\351\241\272\346\227\266\351\222\210\346\211\223\345\215\260\347\237\251\351\230\265.md" +++ /dev/null @@ -1,61 +0,0 @@ -## [剑指 Offer 29. 顺时针打印矩阵](https://leetcode.cn/problems/shun-shi-zhen-da-yin-ju-zhen-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 限定好上下左右四个边界,然后每当遍历一边完成就收缩边界 -- 跟[54.螺旋矩阵](/js-logs/array#54螺旋矩阵)相同 - -```js -/** - * @param {number[][]} matrix - * @return {number[]} - */ -var spiralOrder = function (matrix) { - const m = matrix.length; - if (m === 0) return []; - const n = matrix[0].length; - let up_bound = 0, - low_bound = m - 1; - let left_bound = 0, - right_bound = n - 1; - const res = []; - // 当res.length == m*n时退出循环 - while (res.length < m * n) { - // 在上侧,⇒ 从左向右遍历 - if (up_bound <= low_bound) { - for (let j = left_bound; j <= right_bound; j++) { - res.push(matrix[up_bound][j]); - } - up_bound++; // 上边界收缩 - } - - // 在右侧,⇓ 从上向下遍历 - if (left_bound <= right_bound) { - for (let i = up_bound; i <= low_bound; i++) { - res.push(matrix[i][right_bound]); - } - right_bound--; // 右边界收缩 - } - - // 在下侧,⇐ 从右向左遍历 - if (up_bound <= low_bound) { - for (let j = right_bound; j >= left_bound; j--) { - res.push(matrix[low_bound][j]); - } - low_bound--; // 下边界收缩 - } - - // 在左侧,⇑ 从下向上遍历 - if (left_bound <= right_bound) { - for (let i = low_bound; i >= up_bound; i--) { - res.push(matrix[i][left_bound]); - } - left_bound++; - } - } - - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/1314.\347\237\251\351\230\265\345\214\272\345\237\237\345\222\214.md" "b/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/1314.\347\237\251\351\230\265\345\214\272\345\237\237\345\222\214.md" deleted file mode 100644 index 4bdd5fb..0000000 --- "a/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/1314.\347\237\251\351\230\265\345\214\272\345\237\237\345\222\214.md" +++ /dev/null @@ -1,81 +0,0 @@ -### [1314.矩阵区域和](https://leetcode.cn/problems/matrix-block-sum/) medium - -- 思路 -- 运用到了前缀和的- 思路 -- 使用 [304 题](#304二维区域和检索-矩阵不可变)的解法 -- 再对边界情况做处理就可以直接使用 304 的题解了 - -
- -
矩阵区域和
-
- -```js -/** - * @param {number[][]} mat - * @param {number} k - * @return {number[][]} - */ -var matrixBlockSum = function (mat, k) { - const m = mat.length, - n = mat[0].length; - let res = new Array(m).fill().map((_) => new Array(n).fill(0)); - - const numMatrix = new NumMatrix(mat); - - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - // 左上角坐标(x1,y1) - let x1 = Math.max(i - k, 0); - let y1 = Math.max(j - k, 0); - // 右下角的坐标 - let x2 = Math.min(i + k, m - 1); - let y2 = Math.min(j + k, n - 1); - res[i][j] = numMatrix.sumRegion(x1, y1, x2, y2); - } - } - - return res; -}; -// 304题目 -/** - * @param {number[][]} matrix - */ -var NumMatrix = function (matrix) { - let m = matrix.length, - n = matrix[0].length; - // 定义preSum[i,j]记录着 matrix[0][0] 到matrix[i-1][j-1]的元素和(前缀和) - this.preSum = new Array(m + 1).fill(0).map((_) => new Array(n + 1).fill(0)); - for (let i = 1; i < m + 1; i++) { - for (let j = 1; j < n + 1; j++) { - this.preSum[i][j] = - this.preSum[i - 1][j] + - this.preSum[i][j - 1] + - matrix[i - 1][j - 1] - - this.preSum[i - 1][j - 1]; - } - } -}; - -/** - * @param {number} row1 - * @param {number} col1 - * @param {number} row2 - * @param {number} col2 - * @return {number} - */ -NumMatrix.prototype.sumRegion = function (row1, col1, row2, col2) { - return ( - this.preSum[row2 + 1][col2 + 1] - - this.preSum[row1][col2 + 1] - - this.preSum[row2 + 1][col1] + - this.preSum[row1][col1] - ); -}; - -/** - * Your NumMatrix object will be instantiated and called as such: - * var obj = new NumMatrix(matrix) - * var param_1 = obj.sumRegion(row1,col1,row2,col2) - */ -``` diff --git "a/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/238.\351\231\244\350\207\252\350\272\253\344\273\245\345\244\226\346\225\260\347\273\204\347\232\204\344\271\230\347\247\257.md" "b/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/238.\351\231\244\350\207\252\350\272\253\344\273\245\345\244\226\346\225\260\347\273\204\347\232\204\344\271\230\347\247\257.md" deleted file mode 100644 index a1c80f9..0000000 --- "a/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/238.\351\231\244\350\207\252\350\272\253\344\273\245\345\244\226\346\225\260\347\273\204\347\232\204\344\271\230\347\247\257.md" +++ /dev/null @@ -1,48 +0,0 @@ -### [238.除自身以外数组的乘积](https://leetcode.cn/problems/product-of-array-except-self/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路(前缀和) -- 分别构建从左到右,和从右到左的前缀积 -- 例如原数组是: `[1,2,3,4,5]` -- 从左到右的前缀积 prefix[i]是 nums[0...i]的元素积 - - prefix: `[ 1, 2, 6, 24, 120 ]` -- 从右到左的前缀积,suffix[i]是是 nums[i...n-1]的元素积 - - suffix: `[ 120, 120, 60, 20, 5 ]` -- 最后在 res 中,除了自己,将左侧和右侧的元素相乘 -- 跟[剑指 Offer66.构建乘积数组](/js-logs/sword-point-offer#剑指-offer-66-构建乘积数组)相同 - -```js -/** - * @param {number[]} nums - * @return {number[]} - */ -var productExceptSelf = function (nums) { - const n = nums.length; - if (n === 0) return []; - // 假设 nums => [1,2,3,4,5] - // 从左到右的前缀积 prefix[i]是nums[0...i]的元素积 - const prefix = Array(n); // => [ 1, 2, 6, 24, 120 ] - prefix[0] = nums[0]; - for (let i = 1; i < n; i++) { - prefix[i] = prefix[i - 1] * nums[i]; - } - - // 从右到左的前缀积,suffix[i]是nums[i...n-1]的元素积 - const suffix = Array(n); // => [ 120, 120, 60, 20, 5 ] - suffix[n - 1] = nums[n - 1]; - for (let i = n - 2; i >= 0; i--) { - suffix[i] = suffix[i + 1] * nums[i]; - } - - const res = Array(n); - res[0] = suffix[1]; - res[n - 1] = prefix[n - 2]; - for (let i = 1; i < n - 1; i++) { - // 除了nums[i]自己,左侧和右侧的所有元素的积 - res[i] = prefix[i - 1] * suffix[i + 1]; - } - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/303.\345\214\272\345\237\237\345\222\214\346\243\200\347\264\242-\346\225\260\347\273\204\344\270\215\345\217\257\345\217\230.md" "b/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/303.\345\214\272\345\237\237\345\222\214\346\243\200\347\264\242-\346\225\260\347\273\204\344\270\215\345\217\257\345\217\230.md" deleted file mode 100644 index 2db57a9..0000000 --- "a/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/303.\345\214\272\345\237\237\345\222\214\346\243\200\347\264\242-\346\225\260\347\273\204\344\270\215\345\217\257\345\217\230.md" +++ /dev/null @@ -1,64 +0,0 @@ -### [303.区域和检索-数组不可变](https://leetcode.cn/problems/range-sum-query-immutable/) easy - -
- -
前缀和
-
- -时间复杂度 O(1) -空间复杂度 O(N) - -- 思路 -- 前缀和 解法 -- 初始化是计算前缀和 preSum,preSum 第一位存储 0,方便后面计算,所以长度要比 nums+1 -- nums: 0 1 2 3 4 5 -- ---> : [ 3 5 2 -2 4 1 ] -- preSum:0 1 2 3 4 5 6 -- -----> : [ 0 3 8 10 8 12 13 ] -- 核心- 思路是我们 new 一个新的数组 preSum 出来,preSum[i] 记录 nums[0..i-1] 的累加和,看图 10 = 3 + 5 + 2: -- 如果我想求索引区间 [1, 4] 内的所有元素之和,就可以通过 preSum[5] - preSum[1] 得出 - -```js -/** - * @param {number[]} nums - */ -var NumArray = function (nums) { - this.preSum = new Array(nums.length + 1).fill(0); - for (let i = 1; i < this.preSum.length; i++) { - this.preSum[i] = this.preSum[i - 1] + nums[i - 1]; - } -}; - -/** - * @param {number} left - * @param {number} right - * @return {number} - */ -NumArray.prototype.sumRange = function (left, right) { - return this.preSum[right + 1] - this.preSum[left]; -}; -``` - -- 根据题意求和 - -```js -/** - * @param {number[]} nums - */ -var NumArray = function (nums) { - this.nums = nums; -}; - -/** - * @param {number} left - * @param {number} right - * @return {number} - */ -NumArray.prototype.sumRange = function (left, right) { - let res = 0; - for (let i = left; i <= right; i++) { - res += this.nums[i]; - } - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/304.\344\272\214\347\273\264\345\214\272\345\237\237\345\222\214\346\243\200\347\264\242-\347\237\251\351\230\265\344\270\215\345\217\257\345\217\230.md" "b/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/304.\344\272\214\347\273\264\345\214\272\345\237\237\345\222\214\346\243\200\347\264\242-\347\237\251\351\230\265\344\270\215\345\217\257\345\217\230.md" deleted file mode 100644 index f43cb91..0000000 --- "a/example/\346\225\260\347\273\204/\345\211\215\347\274\200\345\222\214/304.\344\272\214\347\273\264\345\214\272\345\237\237\345\222\214\346\243\200\347\264\242-\347\237\251\351\230\265\344\270\215\345\217\257\345\217\230.md" +++ /dev/null @@ -1,58 +0,0 @@ -### [304.二维区域和检索-矩阵不可变](https://leetcode.cn/problems/range-sum-query-2d-immutable/) medium - -时间复杂度 O(1) -空间复杂度 O(M\*N) - -- 思路 -- 前缀和 -- 目标矩阵通过相邻矩阵运行得到目标区域和 - -
- -
前缀和的矩阵运算
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- -- 定义 preSum[i,j]记录着 matrix[0][0] 到 matrix[i-1][j-1]的元素和(前缀和) - -```js -/** - * @param {number[][]} matrix - */ -var NumMatrix = function (matrix) { - let m = matrix.length, - n = matrix[0].length; - // 定义preSum[i,j]记录着 matrix[0][0] 到matrix[i-1][j-1]的元素和(前缀和) - this.preSum = new Array(m + 1).fill(0).map((_) => new Array(n + 1).fill(0)); - for (let i = 1; i < m + 1; i++) { - for (let j = 1; j < n + 1; j++) { - this.preSum[i][j] = - this.preSum[i - 1][j] + - this.preSum[i][j - 1] + - matrix[i - 1][j - 1] - - this.preSum[i - 1][j - 1]; - } - } -}; - -/** - * @param {number} row1 - * @param {number} col1 - * @param {number} row2 - * @param {number} col2 - * @return {number} - */ -NumMatrix.prototype.sumRegion = function (row1, col1, row2, col2) { - return ( - this.preSum[row2 + 1][col2 + 1] - - this.preSum[row1][col2 + 1] - - this.preSum[row2 + 1][col1] + - this.preSum[row1][col1] - ); -}; - -/** - * Your NumMatrix object will be instantiated and called as such: - * var obj = new NumMatrix(matrix) - * var param_1 = obj.sumRegion(row1,col1,row2,col2) - */ -``` diff --git "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/167.\344\270\244\346\225\260\344\271\213\345\222\214-ii-\350\276\223\345\205\245\346\234\211\345\272\217\346\225\260\347\273\204.md" "b/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/167.\344\270\244\346\225\260\344\271\213\345\222\214-ii-\350\276\223\345\205\245\346\234\211\345\272\217\346\225\260\347\273\204.md" deleted file mode 100644 index 278e3bc..0000000 --- "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/167.\344\270\244\346\225\260\344\271\213\345\222\214-ii-\350\276\223\345\205\245\346\234\211\345\272\217\346\225\260\347\273\204.md" +++ /dev/null @@ -1,37 +0,0 @@ -### [167.两数之和-ii-输入有序数组](https://leetcode.cn/problems/two-sum-ii-input-array-is-sorted/) medium - -时间复杂度 O(logN) -空间复杂度 O(1) - -- 思路 -- 声明 left、right 两个指针 -- 从两头取值进行比较 -- 若两头取到的和想等,说明找到了,返回索引+1 即可 -- 若 sum > target ,说明 sum 大了,让 right--,使 sum 小一点,再进行比较 -- 若 sum < target ,说明 sum 小了,让 left++,使 sum 大一点,再进行比较 -- 以上两点是因为题目说数组是 **非递减顺序排列**的 - -```js -/** - * @param {number[]} numbers - * @param {number} target - * @return {number[]} - */ -var twoSum = function (numbers, target) { - let left = 0, - right = numbers.length - 1; - while (left < right) { - const sum = numbers[left] + numbers[right]; - if (sum === target) { - // 找到target,返回索引 - // 题目下标从1开始的,所以要+1 - return [left + 1, right + 1]; - } else if (sum > target) { - right--; // 让sum小一点 - } else if (sum < target) { - left++; // 让sum大一点 - } - } - return [-1, -1]; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/26.\345\210\240\351\231\244\346\234\211\345\272\217\346\225\260\347\273\204\344\270\255\347\232\204\351\207\215\345\244\215\351\241\271.md" "b/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/26.\345\210\240\351\231\244\346\234\211\345\272\217\346\225\260\347\273\204\344\270\255\347\232\204\351\207\215\345\244\215\351\241\271.md" deleted file mode 100644 index 07b9860..0000000 --- "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/26.\345\210\240\351\231\244\346\234\211\345\272\217\346\225\260\347\273\204\344\270\255\347\232\204\351\207\215\345\244\215\351\241\271.md" +++ /dev/null @@ -1,86 +0,0 @@ -### [26.删除有序数组中的重复项](https://leetcode.cn/problems/remove-duplicates-from-sorted-array/) easy - -时间复杂度 O(1) -空间复杂度 O(1) - -- 思路 -- 使用快慢指针 -- 让快指针去探路 -- 探路的过程中比较慢指针是否和快指针对应的值相等 -- 若不相等,说明不是重复元素,将慢指针前进一步,将快指针对应的值赋值到慢指针的位置上 -- 这样 nums[0-slow]的位置都是不重复元素 - - - - -```js -/** - * @param {number[]} nums - * @return {number} - */ -var removeDuplicates = function (nums) { - if (nums.length === 0) return 0; - let slow = 0, - fast = 0; - while (fast < nums.length) { - if (nums[slow] !== nums[fast]) { - slow++; - nums[slow] = nums[fast]; - } - fast++; - } - return slow + 1; -}; -``` - - - - - -```java -class Solution { - public int removeDuplicates(int[] nums) { - if (nums.length == 0) { - return 0; - } - int slow = 0, fast = 0; - while (fast < nums.length) { - if (nums[fast] != nums[slow]) { - slow++; - nums[slow] = nums[fast]; - } - fast++; - } - return slow + 1; - } -} -``` - - - - - -```rust -impl Solution { - pub fn remove_duplicates(nums: &mut Vec) -> i32 { - if nums.is_empty() { - return 0; - } - - let mut slow = 0; - let mut fast = 0; - while fast < nums.len() { - if nums[slow] != nums[fast] { - slow += 1; - nums[slow] = nums[fast]; - } - fast += 1; - } - - return (slow + 1) as i32; - } -} -``` - - - diff --git "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/27.\347\247\273\351\231\244\345\205\203\347\264\240.md" "b/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/27.\347\247\273\351\231\244\345\205\203\347\264\240.md" deleted file mode 100644 index 6fa9b54..0000000 --- "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/27.\347\247\273\351\231\244\345\205\203\347\264\240.md" +++ /dev/null @@ -1,31 +0,0 @@ -### [27.移除元素](https://leetcode.cn/problems/remove-element/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 快慢指针 -- 跳过对目标 val 的处理,这样就相当于删除了 val -- 对于不等于 val 的数据,做指针的偏移处理 - -```js -/** - * @param {number[]} nums - * @param {number} val - * @return {number} - */ -var removeElement = function (nums, val) { - if (nums.length === 0) return 0; - let slow = 0, - fast = 0; - while (fast < nums.length) { - if (nums[fast] !== val) { - nums[slow] = nums[fast]; - slow++; - } - fast++; - } - - return slow; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/283.\347\247\273\345\212\250\351\233\266.md" "b/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/283.\347\247\273\345\212\250\351\233\266.md" deleted file mode 100644 index 5d68c03..0000000 --- "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/283.\347\247\273\345\212\250\351\233\266.md" +++ /dev/null @@ -1,40 +0,0 @@ -### [283.移动零](https://leetcode.cn/problems/move-zeroes/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 先使用快慢指针法,将不为 0 的元素,按照之前顺序排在前面 -- 然后将 slow 之后的元素全部设置为 0 即可 - -```js -// 27.移除元素 https://leetcode.cn/problems/remove-element/ -var removeElement = function (nums, val) { - if (nums.length === 0) return 0; - let slow = 0, - fast = 0; - while (fast < nums.length) { - if (nums[fast] !== val) { - nums[slow] = nums[fast]; - slow++; - } - fast++; - } - - return slow; -}; - -/** - * @param {number[]} nums - * @return {void} Do not return anything, modify nums in-place instead. - */ -var moveZeroes = function (nums) { - // 先使用【移除元素】,将数组中0的元素删除 - // 返回nums的length,且nums[0,p-1]已经原地删除了0 - let p = removeElement(nums, 0); - for (; p < nums.length; p++) { - nums[p] = 0; - } - return nums; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/344.\345\217\215\350\275\254\345\255\227\347\254\246\344\270\262.md" "b/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/344.\345\217\215\350\275\254\345\255\227\347\254\246\344\270\262.md" deleted file mode 100644 index b8ac11f..0000000 --- "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/344.\345\217\215\350\275\254\345\255\227\347\254\246\344\270\262.md" +++ /dev/null @@ -1,28 +0,0 @@ -### [344.反转字符串](https://leetcode.cn/problems/reverse-string/) easy - -时间复杂度 O(logN) -空间复杂度 O(1) - -- 思路 -- 左右指针 -- 交换左右指针的值即可 - -```js -/** - * @param {character[]} s - * @return {void} Do not return anything, modify s in-place instead. - */ -var reverseString = function (s) { - if (s.length === 0 || s.length === 1) return s; - let left = 0, - right = s.length - 1; - while (left < right) { - let temp = s[left]; - s[left] = s[right]; - s[right] = temp; - left++; - right--; - } - return s; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/5.\346\234\200\351\225\277\345\233\236\346\226\207\345\255\220\344\270\262.md" "b/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/5.\346\234\200\351\225\277\345\233\236\346\226\207\345\255\220\344\270\262.md" deleted file mode 100644 index 4c2fc9f..0000000 --- "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/5.\346\234\200\351\225\277\345\233\236\346\226\207\345\255\220\344\270\262.md" +++ /dev/null @@ -1,43 +0,0 @@ -### [5.最长回文子串](https://leetcode.cn/problems/longest-palindromic-substring/) medium - -时间复杂度 O(N^2) -空间复杂度 O(1) - -- 思路(中心向外扩散的左右指针) -- 回文指的就是正反念都一样的串 -- 我们可以根据这个特性使用左右指针共同向外扩散,来判断是否为一个回文串 -- 我们还要考虑到,回文串长度的奇偶性 -- 这里我们先编写一个函数,函数返回回文串,这里使用 l,r 两个函数,兼容了奇偶的情况 -- 然后遍历这个字符串,分别找奇数情况(i,i)下的回文串,和偶数情况(i,i+1)下的回文串 -- 然后保留最长的那一个回文串返回即可 - -```js -/** - * @param {string} s - * @return {string} - */ -var longestPalindrome = function (s) { - if (s.length === 0 || s.length === 1) return s; - let res = ''; - for (let i = 0; i < s.length; i++) { - // 以s[i]为中心 - let res1 = palindrome(s, i, i); - // 以s[i],s[i+1]为中心 - let res2 = palindrome(s, i, i + 1); - res = res1.length > res.length ? res1 : res; - res = res2.length > res.length ? res2 : res; - } - return res; -}; - -// 在s中找出以s[l],s[r]为中心的回文串 -var palindrome = (s, l, r) => { - while (l >= 0 && r < s.length && s[l] === s[r]) { - l--; - r++; - } - // 返回以 s[l],s[r] 为中心的最长回文串 - // 当while循环结束的时候,l是少一个的,r是多一个的,由于substring的范围是[s,e)的,所以l需要+1,r刚好,所以不用操作 - return s.substring(l + 1, r); -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/557.\345\217\215\350\275\254\345\255\227\347\254\246\344\270\262\344\270\255\347\232\204\345\215\225\350\257\215III.md" "b/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/557.\345\217\215\350\275\254\345\255\227\347\254\246\344\270\262\344\270\255\347\232\204\345\215\225\350\257\215III.md" deleted file mode 100644 index 79127e0..0000000 --- "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/557.\345\217\215\350\275\254\345\255\227\347\254\246\344\270\262\344\270\255\347\232\204\345\215\225\350\257\215III.md" +++ /dev/null @@ -1,40 +0,0 @@ -### [557.反转字符串中的单词 III](https://leetcode.cn/problems/reverse-words-in-a-string-iii/) easy - -- 思路 -- 根据空格拆分成单字符串的数组 -- 然后根据 [344.反转字符串](#344反转字符串),分别反转单字符串 -- 最后合并成一个字符串 - -```js -/** - * @param {string} s - * @return {string} - */ -var reverseWords = function (s) { - const singleWorldNums = s.split(' '); - return singleWorldNums - .map((item) => { - return reverseString(item.split('')).join(''); - }) - .join(' '); -}; - -var reverseString = function (s) { - if (s.length === 0 || s.length === 1) return s; - let left = 0, - right = s.length - 1; - - const swap = (i, j) => { - let temp = s[i]; - s[i] = s[j]; - s[j] = temp; - }; - - while (left < right) { - swap(left, right); - left++; - right--; - } - return s; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/83.\345\210\240\351\231\244\346\216\222\345\272\217\351\223\276\350\241\250\344\270\255\347\232\204\351\207\215\345\244\215\345\205\203\347\264\240.md" "b/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/83.\345\210\240\351\231\244\346\216\222\345\272\217\351\223\276\350\241\250\344\270\255\347\232\204\351\207\215\345\244\215\345\205\203\347\264\240.md" deleted file mode 100644 index 2b23365..0000000 --- "a/example/\346\225\260\347\273\204/\345\217\214\346\214\207\351\222\210/83.\345\210\240\351\231\244\346\216\222\345\272\217\351\223\276\350\241\250\344\270\255\347\232\204\351\207\215\345\244\215\345\205\203\347\264\240.md" +++ /dev/null @@ -1,43 +0,0 @@ -### [83.删除排序链表中的重复元素](https://leetcode.cn/problems/remove-duplicates-from-sorted-list/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 快慢指针法,与 [26.删除有序数组中的重复项](#26删除有序数组中的重复项)相似 -- 因为链表已经有序,所以可以使用快指针在前面探路 -- 当遇到元素不相等的情况时,说明不是重复元素 -- 此时可以将 slow 指针的 next 指向快指针,这样就能让不重复的元素相连接 -- 然后再将 slow 指针指向 fast,fast 指针继续探路 -- 当 fast 指针探路结束,断开 slow 后的所有链接,即 slow.next=null;这样做可以维护 slow 走过的链表不重复,返回 head 即可 - -```js -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode} head - * @return {ListNode} - */ -var deleteDuplicates = function (head) { - if (head === null) return null; - let slow = head, - fast = head; - while (fast !== null) { - if (fast.val !== slow.val) { - // 将slow的下一个节点与fast相连 - slow.next = fast; - // slow移动到fast的位置 - slow = fast; - } - fast = fast.next; - } - // 断开后面所有连接 - slow.next = null; - return head; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/1020.\351\243\236\345\234\260\347\232\204\346\225\260\351\207\217.md" "b/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/1020.\351\243\236\345\234\260\347\232\204\346\225\260\351\207\217.md" deleted file mode 100644 index 9dd47b8..0000000 --- "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/1020.\351\243\236\345\234\260\347\232\204\346\225\260\351\207\217.md" +++ /dev/null @@ -1,51 +0,0 @@ -### [1020.飞地的数量](https://leetcode.cn/problems/number-of-enclaves/) medium - -跟【1254.统计封闭岛屿的数目】类似都要先把边上的给淹了 -1254 求的是封闭岛屿的数量,所以找到岛屿后需要再淹一下 -这个只需要求剩下岛屿的面积(数量) - -```js -/** - * @param {number[][]} grid - * @return {number} - */ -var numEnclaves = function (grid) { - const m = grid.length, - n = grid[0].length; - - // 从 (i, j) 开始,将与之相邻的陆地都变成海水 - const dfs = (i, j) => { - if (i < 0 || i >= m || j < 0 || j >= n) return; - if (grid[i][j] === 0) return; // 已经是水了 - - grid[i][j] = 0; // (i,j) 变成水 - // 相邻的都变成水 - dfs(i + 1, j); - dfs(i - 1, j); - dfs(i, j + 1); - dfs(i, j - 1); - }; - - for (let i = 0; i < m; i++) { - dfs(i, 0); // 把左边淹了 - dfs(i, n - 1); // 把右边淹了 - } - - for (let j = 0; j < n; j++) { - dfs(0, j); // 把上边淹了 - dfs(m - 1, j); // 把下边淹了 - } - - let res = 0; - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - // 如果发现岛屿 - if (grid[i][j] === 1) { - res++; - // dfs(i, j); // 与【1254.统计封闭岛屿的数目】不同之处 - } - } - } - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/1254.\347\273\237\350\256\241\345\260\201\351\227\255\345\262\233\345\261\277\347\232\204\346\225\260\347\233\256.md" "b/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/1254.\347\273\237\350\256\241\345\260\201\351\227\255\345\262\233\345\261\277\347\232\204\346\225\260\347\233\256.md" deleted file mode 100644 index 21e5700..0000000 --- "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/1254.\347\273\237\350\256\241\345\260\201\351\227\255\345\262\233\345\261\277\347\232\204\346\225\260\347\233\256.md" +++ /dev/null @@ -1,51 +0,0 @@ -### [1254.统计封闭岛屿的数目](https://leetcode.cn/problems/number-of-closed-islands/) medium - -【200.岛屿数量】四周都是水,所以靠边的也算是岛屿 -该题的四周不算是水了,求岛屿的数量 -那么我们就可以先把四周用水淹了,就变成了【200.岛屿数量】 - -```js -/** - * @param {number[][]} grid - * @return {number} - */ -var closedIsland = function (grid) { - const m = grid.length, - n = grid[0].length; - - // 从 (i, j) 开始,将与之相邻的陆地都变成海水 - const dfs = (i, j) => { - if (i < 0 || i >= m || j < 0 || j >= n) return; - if (grid[i][j] === 1) return; // 已经是水了 - - grid[i][j] = 1; // (i,j) 变成水 - // 相邻的都变成水 - dfs(i + 1, j); - dfs(i - 1, j); - dfs(i, j + 1); - dfs(i, j - 1); - }; - - for (let i = 0; i < m; i++) { - dfs(i, 0); // 把左边淹了 - dfs(i, n - 1); // 把右边淹了 - } - - for (let j = 0; j < n; j++) { - dfs(0, j); // 把上边淹了 - dfs(m - 1, j); // 把下边淹了 - } - - let res = 0; - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - // 如果发现岛屿 - if (grid[i][j] === 0) { - res++; - dfs(i, j); - } - } - } - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/1905.\347\273\237\350\256\241\345\255\220\345\262\233\345\261\277.md" "b/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/1905.\347\273\237\350\256\241\345\255\220\345\262\233\345\261\277.md" deleted file mode 100644 index cb6cdb0..0000000 --- "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/1905.\347\273\237\350\256\241\345\255\220\345\262\233\345\261\277.md" +++ /dev/null @@ -1,53 +0,0 @@ -### [1905.统计子岛屿](https://leetcode.cn/problems/count-sub-islands/) medium - -【子岛屿】就是 B 中的岛屿,在 A 中也是岛屿 -我们可以先想办法把 B 中不是子岛屿的给消除掉,然后求 B 的岛屿数量,这样就转化成【200.岛屿数量】了 - -怎么消除呢? -若 B 中的岛屿位置,在 A 中是海洋,那么 B 就不是一个子岛屿,可以被海水覆盖掉 - -```js -/** - * @param {number[][]} grid1 - * @param {number[][]} grid2 - * @return {number} - */ -var countSubIslands = function (grid1, grid2) { - const m = grid1.length, - n = grid1[0].length; - - // 淹没掉(i,j)所有相邻的岛屿 - const dfs = (i, j) => { - if (i < 0 || i >= m || j < 0 || j >= n) return; // 越界 - if (grid2[i][j] === 0) return; // 已经是海水了 - - grid2[i][j] = 0; // 用海水覆盖 - // 覆盖四周 - dfs(i + 1, j); - dfs(i - 1, j); - dfs(i, j + 1); - dfs(i, j - 1); - }; - - // 消除grid2中非子岛屿的岛屿 - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - // 当grid1是海水 且 grid2是岛屿 - if (grid1[i][j] === 0 && grid2[i][j] === 1) { - dfs(i, j); // 这个岛屿肯定不是子岛屿,淹掉 - } - } - } - - let res = 0; - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - if (grid2[i][j] === 1) { - res += 1; - dfs(i, j); - } - } - } - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/200.\345\262\233\345\261\277\346\225\260\351\207\217.md" "b/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/200.\345\262\233\345\261\277\346\225\260\351\207\217.md" deleted file mode 100644 index 10fe7f1..0000000 --- "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/200.\345\262\233\345\261\277\346\225\260\351\207\217.md" +++ /dev/null @@ -1,41 +0,0 @@ -### [200.岛屿数量](https://leetcode.cn/problems/number-of-islands/) medium - -- 思路 -- 如果发现岛屿 -- 把附近岛屿都用海水覆盖 - -```js -/** - * @param {character[][]} grid - * @return {number} - */ -var numIslands = function (grid) { - const m = grid.length, - n = grid[0].length; - - // 把与(i,j)附近的陆地给淹了 - const dfs = (i, j) => { - if (i < 0 || i >= m || j < 0 || j >= n) return; // 越界 - if (grid[i][j] === '0') return; // 已经是海水了 - - grid[i][j] = '0'; // 用海水覆盖 - // 覆盖四周 - dfs(i + 1, j); - dfs(i - 1, j); - dfs(i, j + 1); - dfs(i, j - 1); - }; - - let res = 0; - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - // 如果发现岛屿 - if (grid[i][j] === '1') { - res++; - dfs(i, j); - } - } - } - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/694.\344\270\215\345\220\214\345\262\233\345\261\277\347\232\204\346\225\260\351\207\217.md" "b/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/694.\344\270\215\345\220\214\345\262\233\345\261\277\347\232\204\346\225\260\351\207\217.md" deleted file mode 100644 index f9592ee..0000000 --- "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/694.\344\270\215\345\220\214\345\262\233\345\261\277\347\232\204\346\225\260\351\207\217.md" +++ /dev/null @@ -1,63 +0,0 @@ -### [694.不同岛屿的数量](https://leetcode.cn/problems/number-of-distinct-islands/) medium - -题目还是输入一个二维矩阵,0 表示海水,1 表示陆地,这次让你计算 【不同的 (distinct)】 岛屿数量,函数签名如: `var numDistinctIslands = function (grid){}` - -
- -
- -其中有四个岛屿,但是左下角和右上角的岛屿形状相同,所以不同的岛屿共有三个,算法返回 3。 - -- 很显然我们得想办法把二维矩阵中的「岛屿」进行转化,变成比如字符串这样的类型 -- 然后利用 Set 这样的数据结构去重,最终得到不同的岛屿的个数。 -- 1, 2, 3, 4 代表上下左右,用 -1, -2, -3, -4 代表上下左右的撤销 - -```js -var numDistinctIslands = function (grid) { - const m = grid.length, - n = grid[0].length; - - // 淹没与 (i, j) 相邻的陆地,并返回淹没的陆地面积 - const dfs = (i, j, path, direction) => { - if (i < 0 || i >= m || j < 0 || j >= n) return 0; // 越界 - if (grid[i][j] === 0) return 0; // 已经是海水了 - - grid[i][j] = 0; // 用海水覆盖 - - // 前序遍历位置 - path.push(String(direction) + ','); - // 覆盖四周 - dfs(i - 1, j, path, 1); // 上 - dfs(i + 1, j, path, 2); // 下 - dfs(i, j - 1, path, 3); // 左 - dfs(i, j + 1, path, 4); // 右 - // 后续位置 - path.push(String(-direction) + ','); - }; - - let set = new Set(); - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - // 如果发现岛屿 - if (grid[i][j] === 1) { - let path = []; - dfs(i, j, path, 666); // 开始位置不影响正确性 - set.add(path.join('')); - } - } - } - return set.size; -}; - -// 测试代码 -const grid = [ - [1, 1, 0, 1, 1], - [1, 0, 0, 0, 0], - [0, 0, 0, 0, 0], - [0, 0, 0, 0, 1], - [1, 1, 0, 1, 1], -]; -const res = numDistinctIslands(grid); - -console.log(res, res === 3 ? true : false); -``` diff --git "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/695.\345\262\233\345\261\277\347\232\204\346\234\200\345\244\247\351\235\242\347\247\257.md" "b/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/695.\345\262\233\345\261\277\347\232\204\346\234\200\345\244\247\351\235\242\347\247\257.md" deleted file mode 100644 index c15b7b1..0000000 --- "a/example/\346\225\260\347\273\204/\345\262\233\345\261\277\351\227\256\351\242\230/695.\345\262\233\345\261\277\347\232\204\346\234\200\345\244\247\351\235\242\347\247\257.md" +++ /dev/null @@ -1,36 +0,0 @@ -### [695.岛屿的最大面积](https://leetcode.cn/problems/max-area-of-island/) medium - -跟【200.岛屿数量】相似,不过没求数量,求的是最大面积 -这就需要 dfs 函数淹没岛屿的同时,还应该想办法记录这个岛屿的面积 - -```js -/** - * @param {number[][]} grid - * @return {number} - */ -var maxAreaOfIsland = function (grid) { - const m = grid.length, - n = grid[0].length; - - // 淹没与 (i, j) 相邻的陆地,并返回淹没的陆地面积 - const dfs = (i, j) => { - if (i < 0 || i >= m || j < 0 || j >= n) return 0; // 越界 - if (grid[i][j] === 0) return 0; // 已经是海水了 - - grid[i][j] = 0; // 用海水覆盖 - // 覆盖四周 - return dfs(i + 1, j) + dfs(i - 1, j) + dfs(i, j + 1) + dfs(i, j - 1) + 1; - }; - - let res = 0; - for (let i = 0; i < m; i++) { - for (let j = 0; j < n; j++) { - // 如果发现岛屿 - if (grid[i][j] === 1) { - res = Math.max(res, dfs(i, j)); - } - } - } - return res; -}; -``` diff --git "a/example/\346\225\260\347\273\204/\345\267\256\345\210\206\346\225\260\347\273\204/1094.\346\213\274\350\275\246.md" "b/example/\346\225\260\347\273\204/\345\267\256\345\210\206\346\225\260\347\273\204/1094.\346\213\274\350\275\246.md" deleted file mode 100644 index b8fb0e7..0000000 --- "a/example/\346\225\260\347\273\204/\345\267\256\345\210\206\346\225\260\347\273\204/1094.\346\213\274\350\275\246.md" +++ /dev/null @@ -1,58 +0,0 @@ -### [1094.拼车](https://leetcode.cn/problems/car-pooling/) medium - -```js -/** - * @param {number[][]} trips - * @param {number} capacity - * @return {boolean} - */ -var carPooling = function (trips, capacity) { - const nums = new Array(1001).fill(0); - const df = new Diff(nums); - for (let item of trips) { - const [val, i, j] = item; - // 乘客在i上车 - // 在j已经下车,所以j要-1 - df.increment(i, j - 1, val); - } - df.result(); - for (let i = 0; i < nums.length; i++) { - if (nums[i] > capacity) { - return false; - } - } - return true; -}; - -class Diff { - constructor(nums) { - this.nums = nums; - this.len = nums.length; - this.diff = []; - this.init(); - } - - init() { - this.diff[0] = this.nums[0]; - for (let i = 1; i < this.len; i++) { - this.diff[i] = this.nums[i] - this.nums[i - 1]; - } - } - - result() { - this.nums[0] = this.diff[0]; - for (let i = 1; i < this.len; i++) { - this.nums[i] = this.nums[i - 1] + this.diff[i]; - } - return this.nums; - } - - // 对nums[i,j]区间整体+val val可以是负数 - increment(i, j, val) { - this.diff[i] += val; - if (j + 1 < this.len) { - this.diff[j + 1] -= val; - } - } -} -``` diff --git "a/example/\346\225\260\347\273\204/\345\267\256\345\210\206\346\225\260\347\273\204/1109.\350\210\252\347\217\255\351\242\204\350\256\242\347\273\237\350\256\241.md" "b/example/\346\225\260\347\273\204/\345\267\256\345\210\206\346\225\260\347\273\204/1109.\350\210\252\347\217\255\351\242\204\350\256\242\347\273\237\350\256\241.md" deleted file mode 100644 index 0bbf6c8..0000000 --- "a/example/\346\225\260\347\273\204/\345\267\256\345\210\206\346\225\260\347\273\204/1109.\350\210\252\347\217\255\351\242\204\350\256\242\347\273\237\350\256\241.md" +++ /dev/null @@ -1,74 +0,0 @@ -### [1109.航班预订统计](https://leetcode.cn/problems/corporate-flight-bookings/) medium - -时间复杂度 O(2N) -空间复杂度 O(2N) - -- 思路(差分数组) -- 这个题目其实就是将一个长度为 n 的数组,全部初始化为 0 -- 然后根据区间,同时增加值 -- 就是用差分数组来解,[i,j,val] 可以在 i,j 的范围内同时增加 val -- 难点在于正确构建差分数组 -- 1. 构建公式:diff[i] = nums[i] - nums[i-1] -- 2. 还原公式:nums[i] = nums[i-1] + diff[i]; -- 3. increment 公式,根据还原公式来看,diff[i] += val,就可以让 nums[i,...]的值一起增加 val -- 然后在 diff[j+1]处,将差缩小 val,就可以让 nums[i,j]的值同时增加 val,也就是 diff[j+1] -=val; -- 要注意的是:让 j+1>= diff.length 时,也就是说对 nums[i]之后的所有元素全部增加 val,所以就不用再给 diff 数组减 val 了 - -```js -/** - * @param {number[][]} bookings - * @param {number} n - * @return {number[]} - */ -var corpFlightBookings = function (bookings, n) { - let nums = new Array(n).fill(0); - const df = new Diff(nums); - for (let item of bookings) { - const [i, j, val] = item; - // 这里i,j是从1开始的 - // 转化成数组要-1 - df.increment(i - 1, j - 1, val); - } - return df.result(); -}; - -class Diff { - constructor(nums) { - this.nums = nums; - this.len = nums.length; - this.diff = []; - // nums: [ 8, 5, 3, 6, 2 ] - // diff: [ 8,-3,-2, 3,-4 ] - // 区间加减[i,j],例如:nums[1,3]+3,就是diff[i]+3,diff[j+1]-3,经过还原后区间就整体加3了 - // nums: [ 8, 5, 3, 6, 2 ] ==》还原后 [ 8, 8, 6, 9, 2 ] - // diff: [ 8,-3,-2, 3,-4 ] ==》操作后 [ 8, 0,-2, 3,-7 ] - // ⬆ ⬆ - // -3+3 -4-3 - // 0 -7 - this.init(); - } - - init() { - this.diff[0] = this.nums[0]; - for (let i = 1; i < this.len; i++) { - this.diff[i] = this.nums[i] - this.nums[i - 1]; - } - } - - result() { - this.nums[0] = this.diff[0]; - for (let i = 1; i < this.len; i++) { - this.nums[i] = this.nums[i - 1] + this.diff[i]; - } - return this.nums; - } - - // 对nums[i,j]区间整体+val val可以是负数 - increment(i, j, val) { - this.diff[i] += val; - if (j + 1 < this.len) { - this.diff[j + 1] -= val; - } - } -} -``` diff --git "a/example/\346\240\210/155.\346\234\200\345\260\217\346\240\210.js" "b/example/\346\240\210/155.\346\234\200\345\260\217\346\240\210.js" deleted file mode 100644 index 03fa849..0000000 --- "a/example/\346\240\210/155.\346\234\200\345\260\217\346\240\210.js" +++ /dev/null @@ -1,53 +0,0 @@ -// 115.最小栈: https://leetcode.cn/problems/min-stack/ -// ![图解115.最小栈](https://cdn.jsdelivr.net/gh/gaoxiaoduan/picGoImg@main/images/202211211040878.png) - -var MinStack = function () { - this.stack = []; - this.minStack = []; // 保存入栈元素的对应的最小值 -}; - -/** -* @param {number} val -* @return {void} -*/ -MinStack.prototype.push = function (val) { - this.stack.push(val); - // 维护minStack的栈顶元素最小 - if (this.minStack.length === 0 || val <= this.minStack[this.minStack.length - 1]) { - this.minStack.push(val); - } else { - const minStackPeek = this.minStack[this.minStack.length - 1]; - this.minStack.push(minStackPeek); - } -}; - -/** -* @return {void} -*/ -MinStack.prototype.pop = function () { - this.stack.pop(); - this.minStack.pop(); -}; - -/** -* @return {number} -*/ -MinStack.prototype.top = function () { - return this.stack[this.stack.length - 1]; -}; - -/** -* @return {number} -*/ -MinStack.prototype.getMin = function () { - return this.minStack[this.minStack.length - 1]; -}; - -/** -* Your MinStack object will be instantiated and called as such: -* var obj = new MinStack() -* obj.push(val) -* obj.pop() -* var param_3 = obj.top() -* var param_4 = obj.getMin() -*/ diff --git "a/example/\346\240\210/20.\346\234\211\346\225\210\347\232\204\346\213\254\345\217\267.js" "b/example/\346\240\210/20.\346\234\211\346\225\210\347\232\204\346\213\254\345\217\267.js" deleted file mode 100644 index 96a364b..0000000 --- "a/example/\346\240\210/20.\346\234\211\346\225\210\347\232\204\346\213\254\345\217\267.js" +++ /dev/null @@ -1,42 +0,0 @@ -/* - * @lc app=leetcode.cn id=20 lang=javascript - * - * [20] 有效的括号 - */ - -// @lc code=start -/** - * @param {string} s - * @return {boolean} - */ -var isValid = function (s) { - if (s === 0) return false; - if (s.length % 2 === 1) return false; - - let stack = []; - let leftStr = "{[("; - - for (let i = 0; i < s.length; i++) { - let c = s[i]; - // if (leftStr.indexOf(c) !== -1) { - if (leftStr.includes(c)) { - stack.push(c); - } else { - const top = stack[stack.length - 1]; - if (isMath(top, c)) { - stack.pop(); - } else { - return false; - } - } - } - return stack.length === 0; -}; - -const isMath = (left, right) => { - if (left === "{" && right === "}") return true; - if (left === "[" && right === "]") return true; - if (left === "(" && right === ")") return true; - return false; -}; -// @lc code=end diff --git "a/example/\346\240\210/232.\347\224\250\346\240\210\345\256\236\347\216\260\351\230\237\345\210\227.js" "b/example/\346\240\210/232.\347\224\250\346\240\210\345\256\236\347\216\260\351\230\237\345\210\227.js" deleted file mode 100644 index d13b650..0000000 --- "a/example/\346\240\210/232.\347\224\250\346\240\210\345\256\236\347\216\260\351\230\237\345\210\227.js" +++ /dev/null @@ -1,61 +0,0 @@ -/* - * @lc app=leetcode.cn id=232 lang=javascript - * - * [232] 用栈实现队列 - */ - -// @lc code=start - -var MyQueue = function () { - this.stack1 = []; - this.stack2 = []; -}; - -/** - * @param {number} x - * @return {void} - */ -MyQueue.prototype.push = function (x) { - this.stack1.push(x); -}; - -/** - * @return {number} - */ -MyQueue.prototype.pop = function () { - this.peek(); // 先peek,保证stack2不为空 - return this.stack2.pop(); -}; - -/** - * @return {number} - */ -MyQueue.prototype.peek = function () { - // 当stack2为空时 - if (this.stack2.length === 0) { - // 将stack1清空 - while (this.stack1.length) { - const item = this.stack1.pop(); // stack1栈顶 - this.stack2.push(item); // 将stack1栈顶 入栈 - } - } - // 返回stack2的栈顶元素 - return this.stack2[this.stack2.length - 1]; -}; - -/** - * @return {boolean} - */ -MyQueue.prototype.empty = function () { - return this.stack1.length === 0 && this.stack2.length === 0; -}; - -/** - * Your MyQueue object will be instantiated and called as such: - * var obj = new MyQueue() - * obj.push(x) - * var param_2 = obj.pop() - * var param_3 = obj.peek() - * var param_4 = obj.empty() - */ -// @lc code=end diff --git "a/example/\346\240\210/678.\346\234\211\346\225\210\347\232\204\346\213\254\345\217\267\345\255\227\347\254\246\344\270\262.js" "b/example/\346\240\210/678.\346\234\211\346\225\210\347\232\204\346\213\254\345\217\267\345\255\227\347\254\246\344\270\262.js" deleted file mode 100644 index 43c2104..0000000 --- "a/example/\346\240\210/678.\346\234\211\346\225\210\347\232\204\346\213\254\345\217\267\345\255\227\347\254\246\344\270\262.js" +++ /dev/null @@ -1,47 +0,0 @@ -/* - * @lc app=leetcode.cn id=678 lang=javascript - * - * [678] 有效的括号字符串 - */ - -// @lc code=start -// 思路: -// - 使用两个栈,left存放"(" 的位置,start存放"\*"的位置 -// - 遍历字符串,遇到(、\*时,记录位置 -// - 遍历过程中遇到 )时,优先删除left中的(,当left为空时,删除start中的*,若start也为空,说明不匹配,直接返回false -// - 当 ")" 遍历结束,会出现两种情况 -// - 1. left中的数量比start多,说明不平衡,无法正确匹配,返回false -// - 2. left中 "(" 的位置,在start的右边,即 "\*("这种情况,也无法正确匹配,返回false -// - 3. 判断完上面两种情况,剩下的情况也就是可以正确匹配的,即start中的数量比left多,start中的\*都在left的右边,\*就可以匹配完所有的(,也就是有效的 - -/** - * @param {string} s - * @return {boolean} - */ -var checkValidString = function (s) { - let left = [], - start = []; - - for (let i = 0; i < s.length; i++) { - const n = s[i]; - if (n === "(") { - left.push(i); - } else if (n === "*") { - start.push(i); - } else { - if (left.length === 0) { - if (start.length === 0) return false; - start.pop(); - } else { - left.pop(); - } - } - } - - if (left.length > start.length) return false; - while (left.length && start.length) { - if (left.pop() > start.pop()) return false; - } - return true; -}; -// @lc code=end diff --git "a/example/\346\240\210/946.\351\252\214\350\257\201\346\240\210\345\272\217\345\210\227.md" "b/example/\346\240\210/946.\351\252\214\350\257\201\346\240\210\345\272\217\345\210\227.md" deleted file mode 100644 index 3b7ebb5..0000000 --- "a/example/\346\240\210/946.\351\252\214\350\257\201\346\240\210\345\272\217\345\210\227.md" +++ /dev/null @@ -1,28 +0,0 @@ -## [946.验证栈序列](https://leetcode.cn/problems/validate-stack-sequences/) medium - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路(模拟栈的出栈) -- 先声明一个 stack 进行入栈,每次入栈都对栈顶元素进行判断 -- 判断栈顶和 popped 元素是否相同,若找到了就进行出栈,同时 popped 对应的指针后移,指向第二个出栈元素与栈顶是否相等,若相等继续出栈,指针也后移 -- 最后判断,stack 是否为空,若全部一一对应上,说明 popped 的出栈顺序是正确的 - -```js -/** - * @param {number[]} pushed - * @param {number[]} popped - * @return {boolean} - */ -var validateStackSequences = function (pushed, popped) { - const stack = []; - for (let i = 0, j = 0; i < pushed.length; i++) { - stack.push(pushed[i]); - while (stack.length && stack[stack.length - 1] === popped[j]) { - stack.pop(); - j++; - } - } - return stack.length === 0; -}; -``` diff --git "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/3.\346\227\240\351\207\215\345\244\215\345\255\227\347\254\246\347\232\204\346\234\200\351\225\277\345\255\220\344\270\262.js" "b/example/\346\273\221\345\212\250\347\252\227\345\217\243/3.\346\227\240\351\207\215\345\244\215\345\255\227\347\254\246\347\232\204\346\234\200\351\225\277\345\255\220\344\270\262.js" deleted file mode 100644 index a6261e5..0000000 --- "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/3.\346\227\240\351\207\215\345\244\215\345\255\227\347\254\246\347\232\204\346\234\200\351\225\277\345\255\220\344\270\262.js" +++ /dev/null @@ -1,68 +0,0 @@ -/* - * @lc app=leetcode.cn id=3 lang=javascript - * - * [3] 无重复字符的最长子串 - */ - -// @lc code=start -/** - * @param {string} s - * @return {number} - */ -/** - * 时间复杂度 O(N) N是s的个数 - * 空间复杂度 O(M) M是s的不同元素的个数 - * 思路: - * 维护一个滑动窗口 - * 1.在右指针滑动的过程中记录当前元素对应的位置 - * 2.若在右指针滑动过程中发现map中已经有当前元素,并且这个位置没有在左指针之后 - * 3.将左指针定位到当前元素位置的下一位 - * 4.然后右指针每次滑动,都求左右指针的最大长度 - * 这个长度就是最长的无重复子串 - */ -var lengthOfLongestSubstring = function (s) { - let map = new Map(); - let l = 0, // 左指针 - res = 0; // 最长的无重复子串的数量 - - // r为右指针 - for (let r = 0; r < s.length; r++) { - let c = s[r]; // 每个字符串 - // 2. - if (map.has(c) && map.get(c) >= l) { - // 3. - l = map.get(c) + 1; - } - // 4. - res = Math.max(res, r - l + 1); - - // 1. - map.set(c, r); // 记录下每个字符串的位置 - } - - return res; -}; - -var lengthOfLongestSubstring1 = function (s) { - let window = new Map(); - - let right = 0, - left = 0; - let res = 0; - while (right < s.length) { - let c1 = s[right]; - right++; - // 更新数据 - window.set(c1, window.has(c1) ? window.get(c1) + 1 : 1); - // 缩小窗口的条件 - while (window.get(c1) > 1) { - let c2 = s[left]; - left++; - // 更新数据 - window.set(c2, window.get(c2) - 1); - } - res = Math.max(res, right - left); - } - return res; -}; -// @lc code=end diff --git "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/438.\346\211\276\345\210\260\345\255\227\347\254\246\344\270\262\344\270\255\346\211\200\346\234\211\345\255\227\346\257\215\345\274\202\344\275\215\350\257\215.js" "b/example/\346\273\221\345\212\250\347\252\227\345\217\243/438.\346\211\276\345\210\260\345\255\227\347\254\246\344\270\262\344\270\255\346\211\200\346\234\211\345\255\227\346\257\215\345\274\202\344\275\215\350\257\215.js" deleted file mode 100644 index fe8d4cd..0000000 --- "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/438.\346\211\276\345\210\260\345\255\227\347\254\246\344\270\262\344\270\255\346\211\200\346\234\211\345\255\227\346\257\215\345\274\202\344\275\215\350\257\215.js" +++ /dev/null @@ -1,54 +0,0 @@ -/* - * @lc app=leetcode.cn id=438 lang=javascript - * - * [438] 找到字符串中所有字母异位词 - */ - -// @lc code=start -/** - * @param {string} s - * @param {string} p - * @return {number[]} - */ -var findAnagrams = function (s, p) { - let need = new Map(), - window = new Map(); - for (let i of p) { - need.set(i, need.has(i) ? need.get(i) + 1 : 1); - } - - let left = 0, - right = 0; - let valid = 0; - let res = []; - while (right < s.length) { - let c1 = s[right]; // 将要进入window的字符 - right++; // 放大窗口 - // 更新数据 - if (need.has(c1)) { - window.set(c1, window.has(c1) ? window.get(c1) + 1 : 1); - if (window.get(c1) === need.get(c1)) { - valid++; - } - } - - while (right - left >= p.length) { - if (valid === need.size) { - res.push(left); - } - - let c2 = s[left]; - left++; - // 更新数据 - if (need.has(c2)) { - if (window.get(c2) === need.get(c2)) { - valid--; - } - window.set(c2, window.get(c2) - 1); - } - } - } - - return res; -}; -// @lc code=end diff --git "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/567.\345\255\227\347\254\246\344\270\262\347\232\204\346\216\222\345\210\227.js" "b/example/\346\273\221\345\212\250\347\252\227\345\217\243/567.\345\255\227\347\254\246\344\270\262\347\232\204\346\216\222\345\210\227.js" deleted file mode 100644 index 19c21c8..0000000 --- "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/567.\345\255\227\347\254\246\344\270\262\347\232\204\346\216\222\345\210\227.js" +++ /dev/null @@ -1,55 +0,0 @@ -/* - * @lc app=leetcode.cn id=567 lang=javascript - * - * [567] 字符串的排列 - */ - -// @lc code=start -/** - * @param {string} s1 - * @param {string} s2 - * @return {boolean} - */ -var checkInclusion = function (s1, s2) { - let need = new Map(), - window = new Map(); - for (const i of s1) { - need.set(i, need.has(i) ? need.get(i) + 1 : 1); - } - - let left = 0, - right = 0; - let valid = 0; - while (right < s2.length) { - // 将要进入窗口的字符 - let c1 = s2[right]; - right++; // 放大窗口 - // 更新数据 - if (need.has(c1)) { - window.set(c1, window.has(c1) ? window.get(c1) + 1 : 1); - if (window.get(c1) === need.get(c1)) { - valid++; - } - } - - while (right - left >= s1.length) { - // 符合要求,更新结果 - if (valid === need.size) { - return true; - } - // 将要移出窗口等字符 - let c2 = s2[left]; - left++; // 缩小窗口 - // 更新数据 - if (need.has(c2)) { - if (window.get(c2) === need.get(c2)) { - valid--; - } - window.set(c2, window.get(c2) - 1); - } - } - } - - return false; -}; -// @lc code=end diff --git "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/76.\346\234\200\345\260\217\350\246\206\347\233\226\345\255\220\344\270\262.js" "b/example/\346\273\221\345\212\250\347\252\227\345\217\243/76.\346\234\200\345\260\217\350\246\206\347\233\226\345\255\220\344\270\262.js" deleted file mode 100644 index 7acc45e..0000000 --- "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/76.\346\234\200\345\260\217\350\246\206\347\233\226\345\255\220\344\270\262.js" +++ /dev/null @@ -1,60 +0,0 @@ -/* - * @lc app=leetcode.cn id=76 lang=javascript - * - * [76] 最小覆盖子串 - */ - -// @lc code=start -/** - * @param {string} s - * @param {string} t - * @return {string} - */ -var minWindow = function (s, t) { - // need为统计t出现的次数 - let need = new Map(), - window = new Map(); - for (let i of t) { - need.set(i, need.has(i) ? need.get(i) + 1 : 1); - } - // valid为字符串满足的数量 - let valid = 0; - let left = 0, - right = 0; - let res = ""; - while (right < s.length) { - // c是将移入窗口的数据 - let c1 = s[right]; - // 放大窗口 - right += 1; - // 数据更新操作 - if (need.has(c1)) { - window.set(c1, window.has(c1) ? window.get(c1) + 1 : 1); - if (window.get(c1) === need.get(c1)) { - // 当window中的字符,已经满足need,valid++ - valid += 1; - } - } - - // 当valid满足need的size,说明已经找到符合条件的子串了,需要缩小窗口继续找最小 - while (valid === need.size) { - // 更新结果 - let newStr = s.substring(left, right); - if (!res || newStr.length < res.length) res = newStr; - - // c2是将移除窗口的数据 - let c2 = s[left]; - // 缩小窗口 - left += 1; - // 更新数据 - if (need.has(c2)) { - if (window.get(c2) === need.get(c2)) { - valid -= 1; - } - window.set(c2, window.get(c2) - 1); - } - } - } - return res; -}; -// @lc code=end diff --git "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/9.\345\233\236\346\226\207\346\225\260.js" "b/example/\346\273\221\345\212\250\347\252\227\345\217\243/9.\345\233\236\346\226\207\346\225\260.js" deleted file mode 100644 index 3b2b73e..0000000 --- "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/9.\345\233\236\346\226\207\346\225\260.js" +++ /dev/null @@ -1,26 +0,0 @@ -/* - * @lc app=leetcode.cn id=9 lang=javascript - * - * [9] 回文数 - */ - -// @lc code=start -/** - * @param {number} x - * @return {boolean} - */ -var isPalindrome = function (x) { - const str = String(x); - const len = str.length; - if (len === 1) return true; - let p1 = 0, - p2 = len - 1; - - while (p1 < p2) { - if (str[p1] !== str[p2]) return false; - p1++; - p2--; - } - return true; -}; -// @lc code=end diff --git "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/\345\215\225\350\260\203\351\230\237\345\210\227\350\247\243\345\206\263\346\273\221\345\212\250\347\252\227\345\217\243\351\227\256\351\242\230/239.\346\273\221\345\212\250\347\252\227\345\217\243\346\234\200\345\244\247\345\200\274.md" "b/example/\346\273\221\345\212\250\347\252\227\345\217\243/\345\215\225\350\260\203\351\230\237\345\210\227\350\247\243\345\206\263\346\273\221\345\212\250\347\252\227\345\217\243\351\227\256\351\242\230/239.\346\273\221\345\212\250\347\252\227\345\217\243\346\234\200\345\244\247\345\200\274.md" deleted file mode 100644 index 55d6fca..0000000 --- "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/\345\215\225\350\260\203\351\230\237\345\210\227\350\247\243\345\206\263\346\273\221\345\212\250\347\252\227\345\217\243\351\227\256\351\242\230/239.\346\273\221\345\212\250\347\252\227\345\217\243\346\234\200\345\244\247\345\200\274.md" +++ /dev/null @@ -1,78 +0,0 @@ -### [239.滑动窗口最大值](https://leetcode.cn/problems/sliding-window-maximum/) hard - -时间复杂度 O(N) -空间复杂度 O(k) 滑动窗口的大小 - -- 思路(使用单调队列维护滑动窗口) -- 先使用滑动窗口解题 -- 维护一个 window 的长度为 k -- 遍历数组,先把 window 的 k-1 位元素填满 -- 在下一次填入的时候,window 的长就为 k,这个时候计算出 window 内的最大值,存入 res 中 -- 然后再从 window 出队一个元素,给下一个入队的元素留出位置 -- 若使用`const windowMax = Math.max.apply(null, [...window])`计算滑动窗口内的最大值,时间复杂度为 O(N \* logN),时间复杂度高,跑不过所有 case,需要优化 -- 使用单调队列维护 window,这样,每次求 max 的时间复杂度就是 O(1),整体时间复杂度就是 O(N) -- 单调队列:保存队列内的元素单调递减 -- 也就是说,我们需要维护一个队列,队头始终是队列内的最大元素 -- 我们可以在元素入队的时候,把前面比自己小的元素删除,这样就能保证队列内是单调递减的 -- 最大元素就是队头 -- 在删除元素的时候,要判断一下这个元素是否是队头元素,若是队头,才出队,因为有的元素在入队的时候会被删除 - -```js -/** - * @param {number[]} nums - * @param {number} k - * @return {number[]} - */ -var maxSlidingWindow = function (nums, k) { - const window = new MonotonicQueue(); // 滑动窗口队列 - let res = []; - - for (let i = 0; i < nums.length; i++) { - if (i < k - 1) { - // 先填满窗口的 k-1位,若k是3,就是先把前两位填充 - window.push(nums[i]); - } else { - // 入队,填满k - window.push(nums[i]); - - // 计算出滑动窗口内大最大值 - // 可以使用单调队列,优化时间复杂度 - // const windowMax = Math.max.apply(null, [...window]); - // res.push(windowMax); - res.push(window.max()); - - // 出队 - window.shift(nums[i - k + 1]); - } - } - - return res; -}; - -// 单调队列 -class MonotonicQueue { - constructor() { - this.q = []; - } - - push(num) { - // 入队前,把队列前面小于自己的元素全部删除 - while (this.q.length !== 0 && this.q[this.q.length - 1] < num) { - this.q.pop(); - } - this.q.push(num); - } - - max() { - return this.q[0]; - } - - shift(num) { - // 要删除的num可能已经在push的时候被删除了,所以可以不用处理 - // 只要当num是队头的时候删除 - if (num === this.max()) { - this.q.shift(); - } - } -} -``` diff --git "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/\345\215\225\350\260\203\351\230\237\345\210\227\350\247\243\345\206\263\346\273\221\345\212\250\347\252\227\345\217\243\351\227\256\351\242\230/\345\211\221\346\214\207Offer59-I.\346\273\221\345\212\250\347\252\227\345\217\243\347\232\204\346\234\200\345\244\247\345\200\274.md" "b/example/\346\273\221\345\212\250\347\252\227\345\217\243/\345\215\225\350\260\203\351\230\237\345\210\227\350\247\243\345\206\263\346\273\221\345\212\250\347\252\227\345\217\243\351\227\256\351\242\230/\345\211\221\346\214\207Offer59-I.\346\273\221\345\212\250\347\252\227\345\217\243\347\232\204\346\234\200\345\244\247\345\200\274.md" deleted file mode 100644 index 0190815..0000000 --- "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/\345\215\225\350\260\203\351\230\237\345\210\227\350\247\243\345\206\263\346\273\221\345\212\250\347\252\227\345\217\243\351\227\256\351\242\230/\345\211\221\346\214\207Offer59-I.\346\273\221\345\212\250\347\252\227\345\217\243\347\232\204\346\234\200\345\244\247\345\200\274.md" +++ /dev/null @@ -1,66 +0,0 @@ -### [剑指 Offer59-I.滑动窗口的最大值](https://leetcode.cn/problems/hua-dong-chuang-kou-de-zui-da-zhi-lcof/) hard - -时间复杂度 O(N) -空间复杂度 O(k) 滑动窗口的大小 - -跟[239.滑动窗口最大值](/js-logs/sliding-window#239滑动窗口最大值)相同 - -```js -/** - * @param {number[]} nums - * @param {number} k - * @return {number[]} - */ -var maxSlidingWindow = function (nums, k) { - const window = new MonotonicQueue(); // 滑动窗口队列 - let res = []; - - for (let i = 0; i < nums.length; i++) { - if (i < k - 1) { - // 先填满窗口的 k-1位,若k是3,就是先把前两位填充 - window.push(nums[i]); - } else { - // 入队,填满k - window.push(nums[i]); - - // 计算出滑动窗口内大最大值 - // 可以使用单调队列,优化时间复杂度 - // const windowMax = Math.max.apply(null, [...window]); - // res.push(windowMax); - res.push(window.max()); - - // 出队 - window.shift(nums[i - k + 1]); - } - } - - return res; -}; - -// 单调队列 -class MonotonicQueue { - constructor() { - this.q = []; - } - - push(num) { - // 入队前,把队列前面小于自己的元素全部删除 - while (this.q.length !== 0 && this.q[this.q.length - 1] < num) { - this.q.pop(); - } - this.q.push(num); - } - - max() { - return this.q[0]; - } - - shift(num) { - // 要删除的num可能已经在push的时候被删除了,所以可以不用处理 - // 只要当num是队头的时候删除 - if (num === this.max()) { - this.q.shift(); - } - } -} -``` diff --git "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/\345\215\225\350\260\203\351\230\237\345\210\227\350\247\243\345\206\263\346\273\221\345\212\250\347\252\227\345\217\243\351\227\256\351\242\230/\351\235\242\350\257\225\351\242\23059-II.\351\230\237\345\210\227\347\232\204\346\234\200\345\244\247\345\200\274.md" "b/example/\346\273\221\345\212\250\347\252\227\345\217\243/\345\215\225\350\260\203\351\230\237\345\210\227\350\247\243\345\206\263\346\273\221\345\212\250\347\252\227\345\217\243\351\227\256\351\242\230/\351\235\242\350\257\225\351\242\23059-II.\351\230\237\345\210\227\347\232\204\346\234\200\345\244\247\345\200\274.md" deleted file mode 100644 index 8df15bb..0000000 --- "a/example/\346\273\221\345\212\250\347\252\227\345\217\243/\345\215\225\350\260\203\351\230\237\345\210\227\350\247\243\345\206\263\346\273\221\345\212\250\347\252\227\345\217\243\351\227\256\351\242\230/\351\235\242\350\257\225\351\242\23059-II.\351\230\237\345\210\227\347\232\204\346\234\200\345\244\247\345\200\274.md" +++ /dev/null @@ -1,56 +0,0 @@ -### [面试题 59-II.队列的最大值](https://leetcode.cn/problems/dui-lie-de-zui-da-zhi-lcof/) medium - -时间复杂度 O(1) -空间复杂度 O(N) - -- 思路 -- 跟[239.滑动窗口最大值](/js-logs/sliding-window#239滑动窗口最大值)的单调队列相似 -- 不过这里要保证`pop_front`的顺序返回,所以要使用两个队列去存放 -- 一个是单调队列:保证队头元素最大 -- 一个是入队的顺序,为了正确顺序出队 - -```js -var MaxQueue = function () { - this.arr = []; - this.queue = []; -}; - -/** - * @return {number} - */ -MaxQueue.prototype.max_value = function () { - return this.queue.length === 0 ? -1 : this.queue[0]; -}; - -/** - * @param {number} value - * @return {void} - */ -MaxQueue.prototype.push_back = function (value) { - while (this.queue.length !== 0 && this.queue[this.queue.length - 1] < value) { - this.queue.pop(); - } - this.queue.push(value); - this.arr.push(value); -}; - -/** - * @return {number} - */ -MaxQueue.prototype.pop_front = function () { - if (this.arr.length === 0) return -1; - const val = this.arr.shift(); - if (val === this.queue[0]) { - this.queue.shift(); - } - return val; -}; - -/** - * Your MaxQueue object will be instantiated and called as such: - * var obj = new MaxQueue() - * var param_1 = obj.max_value() - * obj.push_back(value) - * var param_3 = obj.pop_front() - */ -``` diff --git "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/1024.\350\247\206\351\242\221\346\213\274\346\216\245.js" "b/example/\350\264\252\345\277\203\347\256\227\346\263\225/1024.\350\247\206\351\242\221\346\213\274\346\216\245.js" deleted file mode 100644 index 020a8c5..0000000 --- "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/1024.\350\247\206\351\242\221\346\213\274\346\216\245.js" +++ /dev/null @@ -1,49 +0,0 @@ -/* - * @lc app=leetcode.cn id=1024 lang=javascript - * - * [1024] 视频拼接 - */ - -// @lc code=start -/** - * @param {number[][]} clips - * @param {number} time - * @return {number} - */ -var videoStitching = function (clips, time) { - if (time === 0) return 0; - let clipsArr = clips.sort((a, b) => { - if (a[0] === b[0]) { - // 如果开头相同,将最长的片段放到最前面 - return b[1] - a[1]; - } - return a[0] - b[0]; - }); - - let res = 0; - let curEnd = 0, - nextEnd = 0; - let i = 0, - len = clipsArr.length; - - while (i < len && clipsArr[i][0] <= curEnd) { - while (i < len && clipsArr[i][0] <= curEnd) { - nextEnd = Math.max(nextEnd, clipsArr[i][1]); - i++; - } - - res++; - curEnd = nextEnd; - if (curEnd >= time) { - return res; - } - } - - // 没找到,返回-1 - return -1; -}; -// @lc code=end - -// @after-stub-for-debug-begin -module.exports = videoStitching; -// @after-stub-for-debug-end diff --git "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/376.\346\221\206\345\212\250\345\272\217\345\210\227.js" "b/example/\350\264\252\345\277\203\347\256\227\346\263\225/376.\346\221\206\345\212\250\345\272\217\345\210\227.js" deleted file mode 100644 index 1c31bdc..0000000 --- "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/376.\346\221\206\345\212\250\345\272\217\345\210\227.js" +++ /dev/null @@ -1,34 +0,0 @@ -/* - * @lc app=leetcode.cn id=376 lang=javascript - * - * [376] 摆动序列 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @return {number} - */ -// 贪心 -var wiggleMaxLength = function (nums) { - const n = nums.length; - if (n < 2) return n; - - let preDiff = nums[1] - nums[0]; - // base case - // 若前两位数差为0,那么最长的摆动子序列就是1,否则就是前两位数字 - let res = preDiff !== 0 ? 2 : 1; - - for (let i = 2; i < n; i++) { - const diff = nums[i] - nums[i - 1]; // 当前i与i-1的差 - //若diff与preDiff是【峰】【谷】的或是【谷】【峰】的,res+1 - if ((diff > 0 && preDiff <= 0) || (diff < 0 && preDiff >= 0)) { - res++; - preDiff = diff; - } - } - - return res; -}; -// @lc code=end - diff --git "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/435.\346\227\240\351\207\215\345\217\240\345\214\272\351\227\264.js" "b/example/\350\264\252\345\277\203\347\256\227\346\263\225/435.\346\227\240\351\207\215\345\217\240\345\214\272\351\227\264.js" deleted file mode 100644 index ebb0e04..0000000 --- "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/435.\346\227\240\351\207\215\345\217\240\345\214\272\351\227\264.js" +++ /dev/null @@ -1,39 +0,0 @@ -/* - * @lc app=leetcode.cn id=435 lang=javascript - * - * [435] 无重叠区间 - */ - -// @lc code=start - -// 时间复杂度 O(N) -// 空间复杂度 O(1) -// 思路笔记:-->利用贪心算法 -// - 核心思路 -// - 求出有多少不重复的区间,再用总数 - 不重复的区间数 -// - 如何求出不重复区间数? -// - 跟据end进行升序排列 -// - 找出跟end不重叠的区间,计数器++,改变end的值,继续遍历 -/** - * @param {number[][]} intervals - * @return {number} - */ -var eraseOverlapIntervals = function (intervals) { - // 如果为空,不需要改变 - if (!intervals.length) return 0; - let endSortArr = intervals.sort((a, b) => a[1] - b[1]); - - // 计算有多少不重复的区间,至少为 开头的数量1 - let count = 1; - let end_start = endSortArr[0][1]; - - for (let item of endSortArr) { - if (item[0] >= end_start) { - count++; - end_start = item[1]; - } - } - - return endSortArr.length - count; -}; -// @lc code=end diff --git "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/45.\350\267\263\350\267\203\346\270\270\346\210\217-ii.js" "b/example/\350\264\252\345\277\203\347\256\227\346\263\225/45.\350\267\263\350\267\203\346\270\270\346\210\217-ii.js" deleted file mode 100644 index 0f3dd1d..0000000 --- "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/45.\350\267\263\350\267\203\346\270\270\346\210\217-ii.js" +++ /dev/null @@ -1,56 +0,0 @@ -/* - * @lc app=leetcode.cn id=45 lang=javascript - * - * [45] 跳跃游戏 II - */ - -// @lc code=start -// 贪心算法 -// 时间复杂度 O(N) -// 空间复杂度 O(1) -/** - * @param {number[]} nums - * @return {number} - */ -var jump = function (nums) { - let len = nums.length; - let farthest = 0; - let end = 0; - let jump = 0; - for (let i = 0; i < len - 1; i++) { - farthest = Math.max(i + nums[i], farthest); - if (end === i) { - jump++; - end = farthest; - } - } - return jump; -}; - -// // 动态规划 -// // 时间复杂度 O(N^2) -// // 空间复杂度 O(1) -// /** -// * @param {number[]} nums -// * @return {number} -// */ -// var jump = function (nums) { -// let len = nums.length; -// let memo = Array.from({ length: len }).fill(len); -// //表示从p处跳到最后位置的最少步数 -// const dp = (nums, p) => { -// // base case -// // 当 p 到达最后的位置,不用跳,返回0 -// if (p >= len - 1) return 0; -// if (memo[p] !== len) return memo[p]; -// let step = nums[p]; -// for (let i = 1; i <= step; i++) { -// let subProblum = dp(nums, nums[i] + i); -// memo[p] = Math.min(memo[p], subProblum + 1); -// } -// return memo[p]; -// }; - -// return dp(nums, 0); -// }; -// @lc code=end diff --git "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/452.\347\224\250\346\234\200\345\260\221\346\225\260\351\207\217\347\232\204\347\256\255\345\274\225\347\210\206\346\260\224\347\220\203.js" "b/example/\350\264\252\345\277\203\347\256\227\346\263\225/452.\347\224\250\346\234\200\345\260\221\346\225\260\351\207\217\347\232\204\347\256\255\345\274\225\347\210\206\346\260\224\347\220\203.js" deleted file mode 100644 index efb4e3a..0000000 --- "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/452.\347\224\250\346\234\200\345\260\221\346\225\260\351\207\217\347\232\204\347\256\255\345\274\225\347\210\206\346\260\224\347\220\203.js" +++ /dev/null @@ -1,32 +0,0 @@ -/* - * @lc app=leetcode.cn id=452 lang=javascript - * - * [452] 用最少数量的箭引爆气球 - */ - -// @lc code=start -// 时间复杂度 O(N) -// 空间复杂度 O(1) - -// 思路 -// - 其实题目最后要找的还是不重叠的区间数 -// - 这里要注意的是, xstart ≤ x ≤ xend就会射爆气球 -/** - * @param {number[][]} points - * @return {number} - */ -var findMinArrowShots = function (points) { - let endSortArr = points.sort((a, b) => a[1] - b[1]); - - let count = 1; - let end_start = endSortArr[0][1]; - for (let item of endSortArr) { - if (item[0] > end_start) { - count++; - end_start = item[1]; - } - } - - return count; -}; -// @lc code=end diff --git "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/55.\350\267\263\350\267\203\346\270\270\346\210\217.js" "b/example/\350\264\252\345\277\203\347\256\227\346\263\225/55.\350\267\263\350\267\203\346\270\270\346\210\217.js" deleted file mode 100644 index 3f8f157..0000000 --- "a/example/\350\264\252\345\277\203\347\256\227\346\263\225/55.\350\267\263\350\267\203\346\270\270\346\210\217.js" +++ /dev/null @@ -1,26 +0,0 @@ -/* - * @lc app=leetcode.cn id=55 lang=javascript - * - * [55] 跳跃游戏 - */ - -// @lc code=start -// 题目理解: -// 求最远能跳多远的距离?若最远距离超出数组长度,表示可以到达最后一个下标 -// 反子不能到达 -/** - * @param {number[]} nums - * @return {boolean} - */ -var canJump = function (nums) { - let len = nums.length; - let farthest = 0; // 最远距离 - for (let i = 0; i < len - 1; i++) { - farthest = Math.max(farthest, i + nums[i]); - if (farthest - i <= 0) { - return false; - } - } - return farthest >= len - 1; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/86.\345\210\206\351\232\224\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/86.\345\210\206\351\232\224\351\223\276\350\241\250.js" deleted file mode 100644 index 9eb9165..0000000 --- "a/example/\351\223\276\350\241\250/86.\345\210\206\351\232\224\351\223\276\350\241\250.js" +++ /dev/null @@ -1,48 +0,0 @@ -/* - * @lc app=leetcode.cn id=86 lang=javascript - * - * [86] 分隔链表 - */ - -// @lc code=start -// 时间复杂度O(1) -// 空间复杂度O(N) -// 思路 -// - 使用指针p遍历链表 -// - 使用两个新链表分别保存小于x的节点,和大于x的节点 -// - 最后将两个链表合并返回即可 -// - 注意:虚拟头节点的链接使用 -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode} head - * @param {number} x - * @return {ListNode} - */ -var partition = function (head, x) { - let newList1 = new ListNode(-1), - newList2 = new ListNode(-1); - let p1 = newList1, - p2 = newList2; - let p = head; - while (p) { - if (p.val >= x) { - p2.next = new ListNode(p.val); - p2 = p2.next; - } else { - p1.next = new ListNode(p.val); - p1 = p1.next; - } - p = p.next; - } - - // 将两个分好类的节点相连 - p1.next = newList2.next; - return newList1.next; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/141.\347\216\257\345\275\242\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/141.\347\216\257\345\275\242\351\223\276\350\241\250.js" deleted file mode 100644 index 8063f66..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/141.\347\216\257\345\275\242\351\223\276\350\241\250.js" +++ /dev/null @@ -1,38 +0,0 @@ -/* - * @lc app=leetcode.cn id=141 lang=javascript - * - * [141] 环形链表 - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val) { - * this.val = val; - * this.next = null; - * } - */ - -/** - * @param {ListNode} head - * @return {boolean} - */ -/** - * 时间复杂度 O(N) - * 空间复杂度 O(1) - * 思路 - * - 声明快慢两个指针进行赛跑 - * - 如果有环,快慢指针肯定会重逢 - * - 如果没有环,则不会重逢 - */ -var hasCycle = function (head) { - let p1 = head, - p2 = head; - while (p1 && p2 && p2.next) { - p1 = p1.next; - p2 = p2.next.next; - if (p1 === p2) return true; - } - return false; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/142.\347\216\257\345\275\242\351\223\276\350\241\250-ii.js" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/142.\347\216\257\345\275\242\351\223\276\350\241\250-ii.js" deleted file mode 100644 index bc6aeda..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/142.\347\216\257\345\275\242\351\223\276\350\241\250-ii.js" +++ /dev/null @@ -1,48 +0,0 @@ -/* - * @lc app=leetcode.cn id=142 lang=javascript - * - * [142] 环形链表 II - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val) { - * this.val = val; - * this.next = null; - * } - */ - -/** - * @param {ListNode} head - * @return {ListNode} - */ -/** - * 时间复杂度 O(N) - * 空间复杂度 O(1) - * 思路 - * - 使用快慢指针找到相遇点 - * - 然后将其中一个指针重置 - * - 再将两个指针共同向前走,再次相遇的地方就是这个环的头 - */ -var detectCycle = function (head) { - let p1 = head, - p2 = head; - while (p2 && p2.next) { - p1 = p1.next; - p2 = p2.next.next; - // 若p1===p2结束循环 - // 此时有两种情况 - // 1.p1,p2是相同节点,说明有环 - // 2.p1,p2都是null,说明没环 - if (p1 === p2) break; - } - if (p2 === null || p2.next === null) return null; - p1 = head; - while (p1 !== p2) { - p1 = p1.next; - p2 = p2.next; - } - return p1; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/160.\347\233\270\344\272\244\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/160.\347\233\270\344\272\244\351\223\276\350\241\250.js" deleted file mode 100644 index 371e9dd..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/160.\347\233\270\344\272\244\351\223\276\350\241\250.js" +++ /dev/null @@ -1,41 +0,0 @@ -/* - * @lc app=leetcode.cn id=160 lang=javascript - * - * [160] 相交链表 - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val) { - * this.val = val; - * this.next = null; - * } - */ - -/** - * @param {ListNode} headA - * @param {ListNode} headB - * @return {ListNode} - */ -/** - * 时间复杂度 O(N) - * 空间复杂度 O(1) - * 思路 - * - 难点在于,如何让指针【同时】指向相交的点 - * - 指针p1指向headA,p2指向headB, - * - 当p1遍历结束,让p1去遍历headB,p2也如此 - * - 这样相当于把headA和headB拼接起来,当两个指针的值相等,说明找到了相同的起点 - */ -var getIntersectionNode = function (headA, headB) { - let p1 = headA, - p2 = headB; - while (p1 !== p2) { - if (p1 === null) p1 = headB; - else p1 = p1.next; - if (p2 === null) p2 = headA; - else p2 = p2.next; - } - return p1; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/19.\345\210\240\351\231\244\351\223\276\350\241\250\347\232\204\345\200\222\346\225\260\347\254\254-n-\344\270\252\347\273\223\347\202\271.md" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/19.\345\210\240\351\231\244\351\223\276\350\241\250\347\232\204\345\200\222\346\225\260\347\254\254-n-\344\270\252\347\273\223\347\202\271.md" deleted file mode 100644 index a87cb34..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/19.\345\210\240\351\231\244\351\223\276\350\241\250\347\232\204\345\200\222\346\225\260\347\254\254-n-\344\270\252\347\273\223\347\202\271.md" +++ /dev/null @@ -1,77 +0,0 @@ -### [19.删除链表的倒数第 N 个结点](https://leetcode.cn/problems/remove-nth-node-from-end-of-list/) medium - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 复用上一题[剑指 Offer 22. 链表中倒数第 k 个节点](/js-logs/linked-list#剑指-offer-22-链表中倒数第-k-个节点) 先找到倒数第 n 节点的前一个节点(n+1) -- 然后将第个 n 节点删除即可 - -```js -/** - * @param {ListNode} head - * @param {number} n - * @return {ListNode} - */ -var removeNthFromEnd = function (head, n) { - let dummy = new ListNode(); - dummy.next = head; - // 要删除倒数n个节点,要先获取前一个节点,也就是(n+1) - let x = getKthFromEnd(dummy, n + 1); - x.next = x.next.next; - return dummy.next; -}; - -// 剑指 Offer 22. 链表中倒数第k个节点 -// https://leetcode.cn/problems/lian-biao-zhong-dao-shu-di-kge-jie-dian-lcof/ -// 获取链表的倒数第k个节点 -var getKthFromEnd = (head, k) => { - let p1 = head; - for (let i = 0; i < k; i++) { - p1 = p1.next; - } - let p2 = head; - while (p1 !== null) { - p1 = p1.next; - p2 = p2.next; - } - return p2; -}; -``` - -时间复杂度 O(N) -空间复杂度 O(N) - -- 思路 -- 利用栈`先进后出`的特性找出倒数第 n 节点 -- 然后使用上一个节点,删除倒数第 n 个节点 - -```js -/** - * @param {ListNode} head - * @param {number} n - * @return {ListNode} - */ -var removeNthFromEnd = function (head, n) { - let dump = new ListNode(); - dump.next = head; - - const stack = []; - let cur = dump; - // 将链表入栈 - while (cur !== null) { - stack.push(cur); - cur = cur.next; - } - - // 将倒数第前n个出栈,最好一个出栈的就是倒数第n个节点 - for (let i = 0; i < n; i++) { - stack.pop(); - } - // 获取倒数第n节点的 前一个节点 - const prev = stack[stack.length - 1]; - prev.next = prev.next.next; - - return dump.next; -}; -``` diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/21.\345\220\210\345\271\266\344\270\244\344\270\252\346\234\211\345\272\217\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/21.\345\220\210\345\271\266\344\270\244\344\270\252\346\234\211\345\272\217\351\223\276\350\241\250.js" deleted file mode 100644 index d176428..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/21.\345\220\210\345\271\266\344\270\244\344\270\252\346\234\211\345\272\217\351\223\276\350\241\250.js" +++ /dev/null @@ -1,55 +0,0 @@ -/* - * @lc app=leetcode.cn id=21 lang=javascript - * - * [21] 合并两个有序链表 - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode} list1 - * @param {ListNode} list2 - * @return {ListNode} - */ -/** - * 时间复杂度 O(M+N) - * 空间复杂度 O(1) - * 思路(双指针) - * - 两个链表值比较,取较小的值加入链表 - * - 重复第一步,然后将另一个剩下的链表直接指向要返回的链表即可 - */ -var mergeTwoLists = function (list1, list2) { - // 虚拟头节点 - let dummy = new ListNode(), - p = dummy; - let p1 = list1, - p2 = list2; - while (p1 && p2) { - if (p1.val > p2.val) { - // 将较小的p2节点,放入dummy中 - p.next = p2; - p2 = p2.next; - } else { - p.next = p1; - p1 = p1.next; - } - // 指针p偏移 - p = p.next; - } - // 将剩下的节点,直接接到新链表到后面 - if (p1 !== null) { - p.next = p1; - } - if (p2 !== null) { - p.next = p2; - } - // 返回真实的节点 - return dummy.next; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/23.\345\220\210\345\271\266k\344\270\252\345\215\207\345\272\217\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/23.\345\220\210\345\271\266k\344\270\252\345\215\207\345\272\217\351\223\276\350\241\250.js" deleted file mode 100644 index 93554ab..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/23.\345\220\210\345\271\266k\344\270\252\345\215\207\345\272\217\351\223\276\350\241\250.js" +++ /dev/null @@ -1,23 +0,0 @@ -/* - * @lc app=leetcode.cn id=23 lang=javascript - * - * [23] 合并K个升序链表 - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode[]} lists - * @return {ListNode} - */ -var mergeKLists = function(lists) { - -}; -// @lc code=end - diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/86.\345\210\206\351\232\224\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/86.\345\210\206\351\232\224\351\223\276\350\241\250.js" deleted file mode 100644 index 819650d..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/86.\345\210\206\351\232\224\351\223\276\350\241\250.js" +++ /dev/null @@ -1,48 +0,0 @@ -/* - * @lc app=leetcode.cn id=86 lang=javascript - * - * [86] 分隔链表 - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode} head - * @param {number} x - * @return {ListNode} - */ -/** - * 时间复杂度O(1) - * 空间复杂度O(N) - * 思路 - * - 使用指针p遍历链表 - * - 使用两个新链表分别保存小于x的节点,和大于x的节点 - * - 最后将两个链表合并返回即可 - * - 注意:虚拟头节点的链接使用 - */ -var partition = function (head, x) { - let dummy1 = new ListNode(), - dummy2 = new ListNode(); - let p1 = dummy1, - p2 = dummy2; - let p = head; - while (p !== null) { - if (p.val >= x) { - p2.next = new ListNode(p.val); - p2 = p2.next; - } else { - p1.next = new ListNode(p.val); - p1 = p1.next; - } - p = p.next; - } - p1.next = dummy2.next; - return dummy1.next; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/876.\351\223\276\350\241\250\347\232\204\344\270\255\351\227\264\347\273\223\347\202\271.js" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/876.\351\223\276\350\241\250\347\232\204\344\270\255\351\227\264\347\273\223\347\202\271.js" deleted file mode 100644 index cbdf243..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/876.\351\223\276\350\241\250\347\232\204\344\270\255\351\227\264\347\273\223\347\202\271.js" +++ /dev/null @@ -1,37 +0,0 @@ -/* - * @lc app=leetcode.cn id=876 lang=javascript - * - * [876] 链表的中间结点 - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode} head - * @return {ListNode} - */ -/** - * 时间复杂度 O(N/2) - * 空间复杂度 O(1) - * 思路(快慢指针) - * - 使用快慢指针 - * - 慢指针走一步,快指针走两步 - * - 这样当快指针走到头,慢指针刚好走一半 - * - 这里让慢指针先走,如果链表长度是偶数,慢指针刚好指向第二个数 - */ -var middleNode = function (head) { - let fast = head, - slow = head; - while (fast !== null && fast.next !== null) { - slow = slow.next; - fast = fast.next.next; - } - return slow; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/977.\346\234\211\345\272\217\346\225\260\347\273\204\347\232\204\345\271\263\346\226\271.js" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/977.\346\234\211\345\272\217\346\225\260\347\273\204\347\232\204\345\271\263\346\226\271.js" deleted file mode 100644 index 43e4c30..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/977.\346\234\211\345\272\217\346\225\260\347\273\204\347\232\204\345\271\263\346\226\271.js" +++ /dev/null @@ -1,32 +0,0 @@ -/* - * @lc app=leetcode.cn id=977 lang=javascript - * - * [977] 有序数组的平方 - */ - -// @lc code=start -/** - * @param {number[]} nums - * @return {number[]} - */ -var sortedSquares = function (nums) { - const n = nums.length; - let l = 0, r = n - 1; - - const res = new Array(n); - let p = n - 1; - while (l <= r) { - if (Math.abs(nums[l]) > Math.abs(nums[r])) { - res[p] = nums[l] * nums[l]; - l++; - } else { - res[p] = nums[r] * nums[r]; - r--; - } - p--; - } - - return res; -}; -// @lc code=end - diff --git "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/\345\211\221\346\214\207Offer22.\351\223\276\350\241\250\344\270\255\345\200\222\346\225\260\347\254\254k\344\270\252\350\212\202\347\202\271.md" "b/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/\345\211\221\346\214\207Offer22.\351\223\276\350\241\250\344\270\255\345\200\222\346\225\260\347\254\254k\344\270\252\350\212\202\347\202\271.md" deleted file mode 100644 index 8d891d1..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\214\346\214\207\351\222\210/\345\211\221\346\214\207Offer22.\351\223\276\350\241\250\344\270\255\345\200\222\346\225\260\347\254\254k\344\270\252\350\212\202\347\202\271.md" +++ /dev/null @@ -1,35 +0,0 @@ -### [剑指 Offer 22. 链表中倒数第 k 个节点](https://leetcode.cn/problems/lian-biao-zhong-dao-shu-di-kge-jie-dian-lcof/) easy - -时间复杂度 O(N) -空间复杂度 O(1) - -- 思路 -- 最初想到的是先遍历整个链表,得出链表长度 n -- 然后从头开始再遍历一次,第 n-k 的位置就是倒数 k 的节点 -- 但是这样需要遍历两次链表 -- 其实遍历一次也可以找出来 -- 先声明一个指针 p1,先让 p1 向前走 k 步 -- 然后再声明一个 p2,指向 head,再让两个指针同时向前走,当 p1 走到尽头,p2 指的那个就是倒数第 k 个节点 - -```js -/** - * @param {ListNode} head - * @param {number} k - * @return {ListNode} - */ -var getKthFromEnd = function (head, k) { - let p1 = head; - for (let i = 0; i < k; i++) { - // 先让p1走k步 - p1 = p1.next; - } - // 此时声明p2指向头节点,p1,p2之间相差k距离 - let p2 = head; - // p1,p2共同前进,当p1走到尾节点时,p2正好指向倒数第k个节点 - while (p1 !== null) { - p1 = p1.next; - p2 = p2.next; - } - return p2; -}; -``` diff --git "a/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/206.\345\217\215\350\275\254\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/206.\345\217\215\350\275\254\351\223\276\350\241\250.js" deleted file mode 100644 index 1f6b36f..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/206.\345\217\215\350\275\254\351\223\276\350\241\250.js" +++ /dev/null @@ -1,56 +0,0 @@ -/* - * @lc app=leetcode.cn id=206 lang=javascript - * - * [206] 反转链表 - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode} head - * @return {ListNode} - */ -/** - * 时间复杂度 O(N) - * 空间复杂度 O(1) - * 思路 - * - 链表太长不容易看出如何反转,所以可以看作两个最短链表反转 - * - 短链表反转,只需要将 当前节点的next 指回 给 上一个节点 - * - 所以使用p1为头节点,p2为后节点,双指针一直指回,然后让双指针共同前进即可 - * - 因为p1最后会指向一个null,p2会指向5 - * - 所以最后返回p2链表 - */ -var reverseList = function (head) { - let p1 = head; - let p2 = null; - while (p1 !== null) { - let temp = p1.next; - p1.next = p2; // 反转 - p2 = p1; - p1 = temp; - } - return p2; -}; - -/** - * 递归解法 - * @param {*} head - * @returns - */ -// 函数定义:返回链表反转后的头节点 -var reverseList2 = function (head) { - if (head === null || head.next === null) { - return head; - } - let last = reverseList2(head.next); - head.next.next = head; - head.next = null; - return last; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/25.k-\344\270\252\344\270\200\347\273\204\347\277\273\350\275\254\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/25.k-\344\270\252\344\270\200\347\273\204\347\277\273\350\275\254\351\223\276\350\241\250.js" deleted file mode 100644 index 2961f93..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/25.k-\344\270\252\344\270\200\347\273\204\347\277\273\350\275\254\351\223\276\350\241\250.js" +++ /dev/null @@ -1,56 +0,0 @@ -/* - * @lc app=leetcode.cn id=25 lang=javascript - * - * [25] K 个一组翻转链表 - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode} head - * @param {number} k - * @return {ListNode} - */ -/** - * 时间复杂度 O(N) - * 空间复杂度 O(logN) - * 思路 - * - 先知道如何反转单个链表,然后在这个函数上拓展出[a,b)区间的反转函数 - * - 然后再分段去递归反转这个链表,若a,b的范围不足k,则不需要反转 - * - 将反转后的链表链接出来 - */ -var reverseKGroup = function (head, k) { - if (head === null) return null; - let a = head, - b = head; - for (let i = 0; i < k; i++) { - // base case - if (b === null) return head; - b = b.next; - } - let newHead = reverse(a, b); - a.next = reverseKGroup(b, k); - return newHead; -}; - -// 以链表head到b的链表,翻转的是[head,b)区间,返回新的head -var reverse = function (head, b) { - let pre = null, - cur = head, - next = head; - while (cur !== b) { - next = cur.next; - cur.next = pre; - pre = cur; - cur = next; - } - // 返回反转后的头节点 - return pre; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/92.\345\217\215\350\275\254\351\223\276\350\241\250-ii.js" "b/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/92.\345\217\215\350\275\254\351\223\276\350\241\250-ii.js" deleted file mode 100644 index f309332..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/92.\345\217\215\350\275\254\351\223\276\350\241\250-ii.js" +++ /dev/null @@ -1,45 +0,0 @@ -/* - * @lc app=leetcode.cn id=92 lang=javascript - * - * [92] 反转链表 II - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ - -// 反转以head为起点的n个节点,返回新的头节点 -let successor = null; // 后继 -var reverseN = function (head, n) { - if (n === 1) { - successor = head.next; // 保存后继 - return head; - } - // 以head.next为起点的n-1个节点,返回新的头节点 - let last = reverseN(head.next, n - 1); - head.next.next = head; - head.next = successor; - return last; -}; - -/** - * @param {ListNode} head - * @param {number} left - * @param {number} right - * @return {ListNode} - */ -var reverseBetween = function (head, left, right) { - if (left === 1) { - // 当left为1时,可以看做反转前n个节点 - return reverseN(head, right); - } - // 前进到反转的起点 触发base case - head.next = reverseBetween(head.next, left - 1, right - 1); - return head; -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/\345\211\221\346\214\207 Offer 24. \345\217\215\350\275\254\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/\345\211\221\346\214\207 Offer 24. \345\217\215\350\275\254\351\223\276\350\241\250.js" deleted file mode 100644 index 02b0a65..0000000 --- "a/example/\351\223\276\350\241\250/\345\217\215\350\275\254\351\223\276\350\241\250/\345\211\221\346\214\207 Offer 24. \345\217\215\350\275\254\351\223\276\350\241\250.js" +++ /dev/null @@ -1,22 +0,0 @@ -// https://leetcode.cn/problems/fan-zhuan-lian-biao-lcof/ - -/** - * Definition for singly-linked list. - * function ListNode(val) { - * this.val = val; - * this.next = null; - * } - */ -/** - * @param {ListNode} head - * @return {ListNode} - */ -var reverseList = function (head) { - if (head === null || head.next === null) { - return head; - } - let last = reverseList(head.next); - head.next.next = head; - head.next = null; - return last; -}; diff --git "a/example/\351\223\276\350\241\250/\345\233\236\346\226\207\351\223\276\350\241\250/234.\345\233\236\346\226\207\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\233\236\346\226\207\351\223\276\350\241\250/234.\345\233\236\346\226\207\351\223\276\350\241\250.js" deleted file mode 100644 index 164bb8e..0000000 --- "a/example/\351\223\276\350\241\250/\345\233\236\346\226\207\351\223\276\350\241\250/234.\345\233\236\346\226\207\351\223\276\350\241\250.js" +++ /dev/null @@ -1,42 +0,0 @@ -/* - * @lc app=leetcode.cn id=234 lang=javascript - * - * [234] 回文链表 - */ - -// @lc code=start -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode} head - * @return {boolean} - */ -/** - * 时间复杂度 O(N) - * 空间复杂度 O(N) - * 思路 - * - 反转链表,判断两个链表的值是否完全想等 - * - 利用函数递归的调用栈,可以拿到反转链表的值 - * - 然后再后续遍历的位置进行判断,然后再将left指针向右偏移即可 - */ -var isPalindrome = function (head) { - let left = head; - - var traverse = function (right) { - if (right == null) return true; - // 后序遍历位置,相当于反转了链表,因为上面的递归函数,让函数入栈了,出栈的第一个函数,就是链表最后一位 - // 这里相当于,让链表的首位进行判断 - let res = traverse(right.next); // 右指针左移 - res = res && right.val === left.val; - left = left.next; // 左指针右移 - return res; - }; - - return traverse(head); -}; -// @lc code=end diff --git "a/example/\351\223\276\350\241\250/\345\233\236\346\226\207\351\223\276\350\241\250/\345\211\221\346\214\207 Offer II 027. \345\233\236\346\226\207\351\223\276\350\241\250.js" "b/example/\351\223\276\350\241\250/\345\233\236\346\226\207\351\223\276\350\241\250/\345\211\221\346\214\207 Offer II 027. \345\233\236\346\226\207\351\223\276\350\241\250.js" deleted file mode 100644 index 95b1ea4..0000000 --- "a/example/\351\223\276\350\241\250/\345\233\236\346\226\207\351\223\276\350\241\250/\345\211\221\346\214\207 Offer II 027. \345\233\236\346\226\207\351\223\276\350\241\250.js" +++ /dev/null @@ -1,25 +0,0 @@ -/** - * Definition for singly-linked list. - * function ListNode(val, next) { - * this.val = (val===undefined ? 0 : val) - * this.next = (next===undefined ? null : next) - * } - */ -/** - * @param {ListNode} head - * @return {boolean} - */ -var isPalindrome = function (head) { - let left = head; - - var traverse = function (right) { - if (right === null) return true; - let res = traverse(right.next); - - res = res && right.val === left.val; - left = left.next; - return res; - }; - - return traverse(head); -}; diff --git a/public/favicon.ico b/favicon.ico similarity index 100% rename from public/favicon.ico rename to favicon.ico diff --git a/guide/index.html b/guide/index.html new file mode 100644 index 0000000..812f686 --- /dev/null +++ b/guide/index.html @@ -0,0 +1,12 @@ + + + + + + + + +
+ + + \ No newline at end of file diff --git a/index.html b/index.html new file mode 100644 index 0000000..812f686 --- /dev/null +++ b/index.html @@ -0,0 +1,12 @@ + + + + + + + + +
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+ + + \ No newline at end of file diff --git a/js-logs/backtracking/index.html b/js-logs/backtracking/index.html new file mode 100644 index 0000000..812f686 --- /dev/null +++ b/js-logs/backtracking/index.html @@ -0,0 +1,12 @@ + + + + + + + + +
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+ + + \ No newline at end of file diff --git a/js-logs/binary-tree/index.html b/js-logs/binary-tree/index.html new file mode 100644 index 0000000..812f686 --- /dev/null +++ b/js-logs/binary-tree/index.html @@ -0,0 +1,12 @@ + + + + + + + + +
+ + + \ No newline at end of file diff --git a/js-logs/bit-manipulation/index.html b/js-logs/bit-manipulation/index.html new file mode 100644 index 0000000..812f686 --- /dev/null +++ b/js-logs/bit-manipulation/index.html @@ -0,0 +1,12 @@ + + + + + + + + +
+ + + \ No newline at end of file diff --git a/js-logs/dynamic-programming/index.html b/js-logs/dynamic-programming/index.html new file mode 100644 index 0000000..812f686 --- /dev/null +++ b/js-logs/dynamic-programming/index.html @@ -0,0 +1,12 @@ + + + + + + + + +
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