1 line
11 KiB
JavaScript
1 line
11 KiB
JavaScript
"use strict";(self.webpackChunkjjbook=self.webpackChunkjjbook||[]).push([[737],{3905:function(e,n,t){t.d(n,{Zo:function(){return p},kt:function(){return s}});var r=t(7294);function o(e,n,t){return n in e?Object.defineProperty(e,n,{value:t,enumerable:!0,configurable:!0,writable:!0}):e[n]=t,e}function i(e,n){var t=Object.keys(e);if(Object.getOwnPropertySymbols){var r=Object.getOwnPropertySymbols(e);n&&(r=r.filter((function(n){return Object.getOwnPropertyDescriptor(e,n).enumerable}))),t.push.apply(t,r)}return t}function l(e){for(var n=1;n<arguments.length;n++){var t=null!=arguments[n]?arguments[n]:{};n%2?i(Object(t),!0).forEach((function(n){o(e,n,t[n])})):Object.getOwnPropertyDescriptors?Object.defineProperties(e,Object.getOwnPropertyDescriptors(t)):i(Object(t)).forEach((function(n){Object.defineProperty(e,n,Object.getOwnPropertyDescriptor(t,n))}))}return e}function a(e,n){if(null==e)return{};var t,r,o=function(e,n){if(null==e)return{};var t,r,o={},i=Object.keys(e);for(r=0;r<i.length;r++)t=i[r],n.indexOf(t)>=0||(o[t]=e[t]);return o}(e,n);if(Object.getOwnPropertySymbols){var i=Object.getOwnPropertySymbols(e);for(r=0;r<i.length;r++)t=i[r],n.indexOf(t)>=0||Object.prototype.propertyIsEnumerable.call(e,t)&&(o[t]=e[t])}return o}var u=r.createContext({}),c=function(e){var n=r.useContext(u),t=n;return e&&(t="function"==typeof e?e(n):l(l({},n),e)),t},p=function(e){var n=c(e.components);return r.createElement(u.Provider,{value:n},e.children)},d={inlineCode:"code",wrapper:function(e){var n=e.children;return r.createElement(r.Fragment,{},n)}},f=r.forwardRef((function(e,n){var t=e.components,o=e.mdxType,i=e.originalType,u=e.parentName,p=a(e,["components","mdxType","originalType","parentName"]),f=c(t),s=o,h=f["".concat(u,".").concat(s)]||f[s]||d[s]||i;return t?r.createElement(h,l(l({ref:n},p),{},{components:t})):r.createElement(h,l({ref:n},p))}));function s(e,n){var t=arguments,o=n&&n.mdxType;if("string"==typeof e||o){var i=t.length,l=new Array(i);l[0]=f;var a={};for(var u in n)hasOwnProperty.call(n,u)&&(a[u]=n[u]);a.originalType=e,a.mdxType="string"==typeof e?e:o,l[1]=a;for(var c=2;c<i;c++)l[c]=t[c];return r.createElement.apply(null,l)}return r.createElement.apply(null,t)}f.displayName="MDXCreateElement"},3082:function(e,n,t){t.r(n),t.d(n,{frontMatter:function(){return a},contentTitle:function(){return u},metadata:function(){return c},toc:function(){return p},default:function(){return f}});var r=t(7462),o=t(3366),i=(t(7294),t(3905)),l=["components"],a={sidebar_label:"\u7b97\u6cd5\uff1a\u5e73\u8861\u4e8c\u53c9\u6811",sidebar_position:11},u="\u5e73\u8861\u4e8c\u53c9\u6811",c={unversionedId:"book1/algorithm-balanced-binary-trees",id:"book1/algorithm-balanced-binary-trees",isDocsHomePage:!1,title:"\u5e73\u8861\u4e8c\u53c9\u6811",description:"\u9898\u76ee\u63cf\u8ff0",source:"@site/docs/book1/algorithm-balanced-binary-trees.md",sourceDirName:"book1",slug:"/book1/algorithm-balanced-binary-trees",permalink:"/awesome-interview/book1/algorithm-balanced-binary-trees",tags:[],version:"current",sidebarPosition:11,frontMatter:{sidebar_label:"\u7b97\u6cd5\uff1a\u5e73\u8861\u4e8c\u53c9\u6811",sidebar_position:11},sidebar:"tutorialSidebar",previous:{title:"\u7f16\u7801\uff1a\u5b9e\u73b0\u4e00\u4e2a Promises/A+",permalink:"/awesome-interview/book1/coding-promise"},next:{title:"\u7efc\u5408\uff1a\u6d4f\u89c8\u5668\u4ece\u8f93\u5165\u7f51\u5740\u5230\u9875\u9762\u5c55\u73b0\u7684\u8fc7\u7a0b",permalink:"/awesome-interview/book1/topic-enter-url-display-xx"}},p=[{value:"\u9898\u76ee\u63cf\u8ff0",id:"\u9898\u76ee\u63cf\u8ff0",children:[]},{value:"\u57fa\u672c\u77e5\u8bc6\u70b9",id:"\u57fa\u672c\u77e5\u8bc6\u70b9",children:[]},{value:"\u9898\u89e3",id:"\u9898\u89e3",children:[{value:"\u89e3\u6cd5\u4e00",id:"\u89e3\u6cd5\u4e00",children:[]},{value:"\u89e3\u6cd5\u4e8c",id:"\u89e3\u6cd5\u4e8c",children:[]}]}],d={toc:p};function f(e){var n=e.components,t=(0,o.Z)(e,l);return(0,i.kt)("wrapper",(0,r.Z)({},d,t,{components:n,mdxType:"MDXLayout"}),(0,i.kt)("h1",{id:"\u5e73\u8861\u4e8c\u53c9\u6811"},"\u5e73\u8861\u4e8c\u53c9\u6811"),(0,i.kt)("h2",{id:"\u9898\u76ee\u63cf\u8ff0"},"\u9898\u76ee\u63cf\u8ff0"),(0,i.kt)("p",null,"\u8f93\u5165\u4e00\u68f5\u4e8c\u53c9\u6811\u7684\u6839\u8282\u70b9\uff0c\u5224\u65ad\u8be5\u6811\u662f\u4e0d\u662f\u5e73\u8861\u4e8c\u53c9\u6811\u3002\u5982\u679c\u67d0\u4e8c\u53c9\u6811\u4e2d\u4efb\u610f\u8282\u70b9\u7684\u5de6\u53f3\u5b50\u6811\u7684\u6df1\u5ea6\u76f8\u5dee\u4e0d\u8d85\u8fc7 1\uff0c\u90a3\u4e48\u5b83\u5c31\u662f\u4e00\u68f5\u5e73\u8861\u4e8c\u53c9\u6811\u3002"),(0,i.kt)("p",null,"\u793a\u4f8b 1:"),(0,i.kt)("pre",null,(0,i.kt)("code",{parentName:"pre"},"\u7ed9\u5b9a\u4e8c\u53c9\u6811 [3, 9, 20, null, null, 15, 7]\n\n 3\n / \\\n 9 20\n / \\\n 15 7\n\u8fd4\u56de true\u3002\n")),(0,i.kt)("p",null,"\u793a\u4f8b 2:"),(0,i.kt)("pre",null,(0,i.kt)("code",{parentName:"pre"},"\u7ed9\u5b9a\u4e8c\u53c9\u6811 [1,2,2,3,3,null,null,4,4]\n\n 1\n / \\\n 2 2\n / \\\n 3 3\n / \\\n 4 4\n\u8fd4\u56de\xa0false\u3002\n")),(0,i.kt)("p",null,"\u9650\u5236\uff1a0 <= \u6811\u7684\u7ed3\u70b9\u4e2a\u6570 <= 10000"),(0,i.kt)("h2",{id:"\u57fa\u672c\u77e5\u8bc6\u70b9"},"\u57fa\u672c\u77e5\u8bc6\u70b9"),(0,i.kt)("p",null,"\u4e8c\u53c9\u6811\u7684\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u6709\u4e24\u4e2a\u5b50\u8282\u70b9\uff0c\u5e73\u8861\u4e8c\u53c9\u6811\u4e2d\u4efb\u610f\u4e00\u4e2a\u8282\u70b9\u7684\u5de6\u53f3\u5b50\u6811\u9ad8\u5ea6\u76f8\u5dee\u4e0d\u80fd\u5927\u4e8e 1\uff0c\u6ee1\u4e8c\u53c9\u6811\u548c\u5b8c\u5168\u4e8c\u53c9\u6811\u90fd\u662f\u5e73\u8861\u4e8c\u53c9\u6811\uff0c\u666e\u901a\u4e8c\u53c9\u6811\u6709\u53ef\u80fd\u662f\u5e73\u8861\u4e8c\u53c9\u6811\u3002"),(0,i.kt)("h2",{id:"\u9898\u89e3"},"\u9898\u89e3"),(0,i.kt)("h3",{id:"\u89e3\u6cd5\u4e00"},"\u89e3\u6cd5\u4e00"),(0,i.kt)("h4",{id:"\u601d\u8def"},"\u601d\u8def"),(0,i.kt)("p",null,"\u82e5\u60f3\u5224\u65ad\u4e8c\u53c9\u6811\u662f\u4e0d\u662f\u5e73\u8861\u4e8c\u53c9\u6811\uff0c\u53ea\u9700\u8981\u5224\u65ad\u5de6\u53f3\u5b50\u6811\u7684\u9ad8\u5ea6\u5dee\u662f\u4e0d\u662f\u4e0d\u8d85\u8fc7 1 \u5373\u53ef\u3002\u540c\u65f6\uff0c\u8981\u6ee1\u8db3\u4e00\u4e2a\u6811\u662f\u5e73\u8861\u4e8c\u53c9\u6811\uff0c\u5b83\u7684\u5b50\u6811\u4e5f\u5fc5\u987b\u662f\u5e73\u8861\u4e8c\u53c9\u6811\u3002\u6211\u4eec\u53ef\u4ee5\u4ece\u6839\u7ed3\u70b9\u5f00\u59cb\uff0c\u901a\u8fc7\u9012\u5f52\u6765\u6c42\u5f97\u5b50\u6811\u7684\u9ad8\u5ea6\uff0c\u4ee5\u53ca\u5b50\u6811\u662f\u5426\u662f\u5e73\u8861\u4e8c\u53c9\u6811\uff0c\u4ee5\u6b64\u6765\u7ed3\u5408\u5224\u65ad\u4e8c\u53c9\u6811\u662f\u5426\u662f\u5e73\u8861\u4e8c\u53c9\u6811\u3002"),(0,i.kt)("h4",{id:"\u4ee3\u7801"},"\u4ee3\u7801"),(0,i.kt)("pre",null,(0,i.kt)("code",{parentName:"pre",className:"language-javascript"},"/**\n * Definition for a binary tree node.\n * function TreeNode(val, left, right) {\n * this.val = (val === undefined ? 0 : val)\n * this.left = (left === undefined ? null : left)\n * this.right = (right === undefined ? null : right)\n * }\n */\n/**\n * @param {TreeNode} root\n * @return {boolean}\n */\nconst isBalanced = function (root) {\n if (root === null) {\n return true;\n } else {\n return (\n Math.abs(height(root.left) - height(root.right)) <= 1 &&\n isBalanced(root.left) &&\n isBalanced(root.right)\n );\n }\n};\n\nconst height = function (root) {\n if (root === null) {\n return 0;\n } else {\n return Math.max(height(root.left), height(root.right)) + 1;\n }\n};\n")),(0,i.kt)("h4",{id:"\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790"},"\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790"),(0,i.kt)("p",null,"\u8be5\u65b9\u6cd5\u6700\u574f\u7684\u60c5\u51b5\u662f\u6bcf\u4e2a\u7236\u8282\u70b9\u90fd\u53ea\u6709\u4e00\u4e2a\u5b50\u8282\u70b9\uff0c\u8fd9\u6837\u6811\u7684\u9ad8\u5ea6\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n)\uff0c\u5373\u201c\u94fe\u8868\u201d\u7684\u957f\u5ea6\u3002\u800c\u7b2c d \u5c42\u8c03\u7528 ",(0,i.kt)("inlineCode",{parentName:"p"},"height")," \u51fd\u6570\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f O(d)\uff0c\u6240\u4ee5\u6574\u4f53\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a\u9ad8\u5ea6\u65f6\u95f4\u590d\u6742\u5ea6 ","*"," \u8c03\u7528 ",(0,i.kt)("inlineCode",{parentName:"p"},"height")," \u51fd\u6570\u7684\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u5373 O(n^2)\u3002"),(0,i.kt)("h4",{id:"\u7a7a\u95f4\u590d\u6742\u5ea6\u5206\u6790"},"\u7a7a\u95f4\u590d\u6742\u5ea6\u5206\u6790"),(0,i.kt)("p",null,"\u8be5\u65b9\u6cd5\u7531\u4e8e\u4f7f\u7528\u4e86\u9012\u5f52\uff0c\u5e76\u4e14\u6bcf\u6b21\u9012\u5f52\u90fd\u8c03\u7528\u4e86\u4e24\u6b21\u81ea\u8eab\uff0c\u5bfc\u81f4\u4f1a\u51fd\u6570\u6808\u4f1a\u6309\u7167\u7b49\u5dee\u6570\u5217\u5f00\u8f9f\uff0c\u6240\u4ee5\u8be5\u65b9\u6cd5\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u5e94\u4e3a O(n^2)\u3002"),(0,i.kt)("h3",{id:"\u89e3\u6cd5\u4e8c"},"\u89e3\u6cd5\u4e8c"),(0,i.kt)("h4",{id:"\u601d\u8def-1"},"\u601d\u8def"),(0,i.kt)("p",null,"\u4e0a\u9762\u7684\u65b9\u6cd5\u662f\u81ea\u9876\u800c\u4e0a\u7684\uff0c\u8fd9\u6837\u5176\u5b9e\u5c31\u4f1a\u5bfc\u81f4\u6bcf\u5c42\u7684\u9ad8\u5ea6\u90fd\u8981\u91cd\u590d\u8ba1\u7b97\u3002\u90a3\u4e48\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u540e\u5e8f\u904d\u5386\uff0c\u8fd9\u6837\u6bcf\u4e2a\u8282\u70b9\u7684\u9ad8\u5ea6\u5c31\u80fd\u6839\u636e\u524d\u9762\u7684\u7ed3\u679c\u7b97\u51fa\u6765\u3002"),(0,i.kt)("h4",{id:"\u4ee3\u7801-1"},"\u4ee3\u7801"),(0,i.kt)("pre",null,(0,i.kt)("code",{parentName:"pre",className:"language-javascript"},"/**\n * Definition for a binary tree node.\n * function TreeNode(val, left, right) {\n * this.val = (val === undefined ? 0 : val)\n * this.left = (left === undefined ? null : left)\n * this.right = (right === undefined ? null : right)\n * }\n */\n/**\n * @param {TreeNode} root\n * @return {boolean}\n */\nvar isBalanced = function (root) {\n return height(root) != -1;\n};\n\nvar height = function (root) {\n if (root == null) {\n return 0;\n }\n\n const left = height(root.left);\n const right = height(root.right);\n\n if (left === -1 || right === -1 || Math.abs(left - right) > 1) {\n return -1;\n }\n\n return Math.max(left, right) + 1;\n};\n")),(0,i.kt)("h4",{id:"\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790-1"},"\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790"),(0,i.kt)("p",null,"\u7531\u4e8e\u662f\u540e\u5e8f\u904d\u5386\uff0c\u6bcf\u4e2a\u8282\u70b9\u53ea\u4f1a\u88ab\u8c03\u7528 1 \u6b21\uff0c\u6240\u4ee5\uff0c\u8be5\u65b9\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u662f O(n)\u3002"),(0,i.kt)("h4",{id:"\u7a7a\u95f4\u590d\u6742\u5ea6\u5206\u6790-1"},"\u7a7a\u95f4\u590d\u6742\u5ea6\u5206\u6790"),(0,i.kt)("p",null,"\u8be5\u65b9\u6cd5\u7531\u4e8e\u4f7f\u7528\u4e86\u9012\u5f52\uff0c\u5e76\u4e14\u6bcf\u6b21\u9012\u5f52\u90fd\u8c03\u7528\u4e86\u4e24\u6b21\u81ea\u8eab\uff0c\u5bfc\u81f4\u4f1a\u51fd\u6570\u6808\u4f1a\u6309\u7167\u7b49\u5dee\u6570\u5217\u5f00\u8f9f\uff0c\u6240\u4ee5\u8be5\u65b9\u6cd5\u7684\u7a7a\u95f4\u590d\u6742\u5ea6\u5e94\u4e3a O(n^2)\u3002"))}f.isMDXComponent=!0}}]); |