{"id":138,"date":"2021-02-17T12:59:00","date_gmt":"2021-02-17T12:59:00","guid":{"rendered":"https:\/\/imwarming.com\/?p=138"},"modified":"2021-02-17T12:59:00","modified_gmt":"2021-02-17T12:59:00","slug":"%e8%af%a6%e8%a7%a3%e5%b9%b3%e8%a1%a1%e4%ba%8c%e5%8f%89%e6%a0%91%28avltree%29%e5%b9%b3%e8%a1%a1%e6%93%8d%e4%bd%9c%28%e5%9b%be%2b%e4%bb%a3%e7%a0%81%29","status":"publish","type":"post","link":"https:\/\/imwarming.com\/?p=138","title":{"rendered":"\u8be6\u89e3\u5e73\u8861\u4e8c\u53c9\u6811(AVL tree)\u5e73\u8861\u64cd\u4f5c(\u56fe+\u4ee3\u7801)"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/img2020.cnblogs.com\/blog\/1634852\/202109\/1634852-20210901222808994-568366627.png\" alt=\"\" loading=\"lazy\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>* \u5de6\u5de6\u5c31\u53f3\u65cb\uff0c\u53f3\u53f3\u5c31\u5de6\u65cb<\/strong><\/p>\n<p>&nbsp;<\/p>\n<div class=\"cnblogs_code\">\n<pre>#include&lt;bits\/stdc++.h&gt;\n\n<span style=\"color: #0000ff;\">using<\/span> <span style=\"color: #0000ff;\">namespace<\/span><span style=\"color: #000000;\"> std;\ntypedef <\/span><span style=\"color: #0000ff;\">long<\/span> <span style=\"color: #0000ff;\">long<\/span><span style=\"color: #000000;\"> ll;\n<\/span><span style=\"color: #0000ff;\">const<\/span> <span style=\"color: #0000ff;\">int<\/span> maxn =<span style=\"color: #000000;\"> 1e9;\n<\/span><span style=\"color: #0000ff;\">const<\/span> <span style=\"color: #0000ff;\">int<\/span> maxm = 1e5 + <span style=\"color: #800080;\">5<\/span><span style=\"color: #000000;\">;\n<\/span><span style=\"color: #0000ff;\">const<\/span> <span style=\"color: #0000ff;\">int<\/span> inf = <span style=\"color: #800080;\">2147483647<\/span><span style=\"color: #000000;\">;\n<\/span><span style=\"color: #0000ff;\">using<\/span> <span style=\"color: #0000ff;\">namespace<\/span><span style=\"color: #000000;\"> std;\n<\/span><span style=\"color: #0000ff;\">struct<\/span><span style=\"color: #000000;\"> node {\n    node <\/span>*left, *<span style=\"color: #000000;\">right;\n    <\/span><span style=\"color: #0000ff;\">int<\/span><span style=\"color: #000000;\"> key;\n};\n\nnode <\/span>*ll(node *<span style=\"color: #000000;\">root) {\n    node <\/span>*t = root-&gt;<span style=\"color: #000000;\">left;\n    root<\/span>-&gt;left = t-&gt;<span style=\"color: #000000;\">right;\n    t<\/span>-&gt;right =<span style=\"color: #000000;\"> root;\n    <\/span><span style=\"color: #0000ff;\">return<\/span><span style=\"color: #000000;\"> t;\n}\n\nnode <\/span>*rr(node *<span style=\"color: #000000;\">root) {\n    node <\/span>*t = root-&gt;<span style=\"color: #000000;\">right;\n    root<\/span>-&gt;right = t-&gt;<span style=\"color: #000000;\">left;\n    t<\/span>-&gt;left =<span style=\"color: #000000;\"> root;\n    <\/span><span style=\"color: #0000ff;\">return<\/span><span style=\"color: #000000;\"> t;\n}\n\nnode <\/span>*rl(node *<span style=\"color: #000000;\">root) {\n    root<\/span>-&gt;right = ll(root-&gt;<span style=\"color: #000000;\">right);\n    <\/span><span style=\"color: #0000ff;\">return<\/span><span style=\"color: #000000;\"> rr(root);\n}\n\nnode <\/span>*lr(node *<span style=\"color: #000000;\">root) {\n    root<\/span>-&gt;left = rr(root-&gt;<span style=\"color: #000000;\">left);\n    <\/span><span style=\"color: #0000ff;\">return<\/span><span style=\"color: #000000;\"> ll(root);\n}\n\n<\/span><span style=\"color: #0000ff;\">int<\/span> gethight(node *<span style=\"color: #000000;\">root) {\n    <\/span><span style=\"color: #0000ff;\">if<\/span> (root == null)<span style=\"color: #0000ff;\">return<\/span> <span style=\"color: #800080;\">0<\/span><span style=\"color: #000000;\">;\n    <\/span><span style=\"color: #0000ff;\">return<\/span> max(gethight(root-&gt;left), gethight(root-&gt;right)) + <span style=\"color: #800080;\">1<\/span><span style=\"color: #000000;\">;\n}\n\nnode <\/span>*insert(node *root, <span style=\"color: #0000ff;\">int<\/span><span style=\"color: #000000;\"> val) {\n    <\/span><span style=\"color: #0000ff;\">if<\/span> (root ==<span style=\"color: #000000;\"> null) {\n        root <\/span>= <span style=\"color: #0000ff;\">new<\/span><span style=\"color: #000000;\"> node();\n        root<\/span>-&gt;key =<span style=\"color: #000000;\"> val;\n        root<\/span>-&gt;left = root-&gt;right =<span style=\"color: #000000;\"> null;\n    } <\/span><span style=\"color: #0000ff;\">else<\/span> <span style=\"color: #0000ff;\">if<\/span> (val &lt; root-&gt;<span style=\"color: #000000;\">key) {\n        root<\/span>-&gt;left = insert(root-&gt;<span style=\"color: #000000;\">left, val);\n        <\/span><span style=\"color: #0000ff;\">if<\/span> (gethight(root-&gt;left) - gethight(root-&gt;right) == <span style=\"color: #800080;\">2<\/span><span style=\"color: #000000;\">)\n            root <\/span>= val &lt; root-&gt;left-&gt;key ?<span style=\"color: #000000;\"> rr(root) : lr(root);\n    } <\/span><span style=\"color: #0000ff;\">else<\/span><span style=\"color: #000000;\"> {\n        root<\/span>-&gt;right = insert(root-&gt;<span style=\"color: #000000;\">right, val);\n        <\/span><span style=\"color: #0000ff;\">if<\/span> (gethight(root-&gt;right) - gethight(root-&gt;left) == <span style=\"color: #800080;\">2<\/span><span style=\"color: #000000;\">)\n            root <\/span>= val &gt; root-&gt;right-&gt;key ?<span style=\"color: #000000;\"> ll(root) : rl(root);\n    }\n    <\/span><span style=\"color: #0000ff;\">return<\/span><span style=\"color: #000000;\"> root;\n}\n\n<\/span><span style=\"color: #0000ff;\">int<\/span><span style=\"color: #000000;\"> main() {\n    <\/span><span style=\"color: #0000ff;\">int<\/span><span style=\"color: #000000;\"> n, k;\n    cin <\/span>&gt;&gt;<span style=\"color: #000000;\"> n;\n    node <\/span>*root =<span style=\"color: #000000;\"> null;\n    <\/span><span style=\"color: #0000ff;\">for<\/span> (<span style=\"color: #0000ff;\">int<\/span> i = <span style=\"color: #800080;\">1<\/span>; i &lt;= n; i++<span style=\"color: #000000;\">) {\n        cin <\/span>&gt;&gt;<span style=\"color: #000000;\"> k;\n        root <\/span>=<span style=\"color: #000000;\"> insert(root, k);\n    }\n    <\/span><span style=\"color: #0000ff;\">return<\/span> <span style=\"color: #800080;\">0<\/span><span style=\"color: #000000;\">;\n}<\/span><\/pre>\n<\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<div class=\"memorize_new_word_loading\" style=\"display: none;\">&nbsp;<\/div>\n<div class=\"bv-shadow-dom bv-shadow-dom-fade_out\">&nbsp;<\/div>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; * \u5de6\u5de6\u5c31\u53f3\u65cb\uff0c\u53f3\u53f3\u5c31\u5de6\u65cb &nbsp; #include&lt;bits\/stdc+ [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-138","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u8be6\u89e3\u5e73\u8861\u4e8c\u53c9\u6811(AVL tree)\u5e73\u8861\u64cd\u4f5c(\u56fe+\u4ee3\u7801) - imwarming<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/imwarming.com\/?p=138\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u8be6\u89e3\u5e73\u8861\u4e8c\u53c9\u6811(AVL tree)\u5e73\u8861\u64cd\u4f5c(\u56fe+\u4ee3\u7801) - imwarming\" \/>\n<meta property=\"og:description\" content=\"&nbsp; 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