{"id":162,"date":"2019-12-25T12:46:00","date_gmt":"2019-12-25T12:46:00","guid":{"rendered":"https:\/\/imwarming.com\/?p=162"},"modified":"2019-12-25T12:46:00","modified_gmt":"2019-12-25T12:46:00","slug":"%e5%b9%b3%e8%a1%a1%e4%ba%8c%e5%8f%89%e6%a0%91","status":"publish","type":"post","link":"https:\/\/imwarming.com\/?p=162","title":{"rendered":"\u5e73\u8861\u4e8c\u53c9\u6811"},"content":{"rendered":"<div class=\"cnblogs_code\">\n<pre>#include&lt;bits\/stdc++.h&gt;\n<span style=\"color: #0000ff;\">#define<\/span> maxsize 100\n<span style=\"color: #0000ff;\">using<\/span> <span style=\"color: #0000ff;\">namespace<\/span><span style=\"color: #000000;\"> std;\n\ntypedef <\/span><span style=\"color: #0000ff;\">struct<\/span> avlnode *<span style=\"color: #000000;\">position;\ntypedef position avltree;\n<\/span><span style=\"color: #0000ff;\">struct<\/span><span style=\"color: #000000;\"> avlnode{\n    <\/span><span style=\"color: #0000ff;\">int<\/span><span style=\"color: #000000;\"> data;\n    avltree left;\n    avltree right;\n    <\/span><span style=\"color: #0000ff;\">int<\/span><span style=\"color: #000000;\"> height;\n};\n<\/span><span style=\"color: #0000ff;\">int<\/span> max(<span style=\"color: #0000ff;\">int<\/span> a,<span style=\"color: #0000ff;\">int<\/span><span style=\"color: #000000;\"> b){\n    <\/span><span style=\"color: #0000ff;\">return<\/span> a&gt;b?<span style=\"color: #000000;\">a:b;\n}\n<\/span><span style=\"color: #0000ff;\">int<\/span><span style=\"color: #000000;\"> getheight(avltree t)\n{<\/span><span style=\"color: #008000;\">\/\/<\/span><span style=\"color: #008000;\">\u6811\u7684\u6df1\u5ea6<\/span>\n    <span style=\"color: #0000ff;\">if<\/span>(t==<span style=\"color: #000000;\">null)\n        <\/span><span style=\"color: #0000ff;\">return<\/span> <span style=\"color: #800080;\">0<\/span><span style=\"color: #000000;\">;\n    <\/span><span style=\"color: #0000ff;\">else<\/span><span style=\"color: #000000;\">\n    {\n        <\/span><span style=\"color: #0000ff;\">int<\/span> m=getheight(t-&gt;left<span style=\"color: #000000;\">);\n        <\/span><span style=\"color: #0000ff;\">int<\/span> n=getheight(t-&gt;right<span style=\"color: #000000;\">);\n        <\/span><span style=\"color: #0000ff;\">if<\/span>(m&gt;n) <span style=\"color: #0000ff;\">return<\/span> (m+<span style=\"color: #800080;\">1<\/span><span style=\"color: #000000;\">);\n        <\/span><span style=\"color: #0000ff;\">else<\/span> <span style=\"color: #0000ff;\">return<\/span> (n+<span style=\"color: #800080;\">1<\/span><span style=\"color: #000000;\">);\n    }\n}\navltree singleleftrotation(avltree a){\n    <\/span><span style=\"color: #008000;\">\/\/<\/span><span style=\"color: #008000;\">a\u5fc5\u987b\u6709\u4e00\u4e2a\u5de6\u5b50\u7ed3\u70b9b\n    <\/span><span style=\"color: #008000;\">\/\/<\/span><span style=\"color: #008000;\">\u5c06a\u4e0eb\u505a\u5de6\u5355\u65cb\uff08ll\uff09\uff0c\u66f4\u65b0a\u4e0eb\u7684\u9ad8\u5ea6\uff0c\u8fd4\u56de\u65b0\u7684\u6839\u7ed3\u70b9b<\/span>\n    avltree b = a-&gt;<span style=\"color: #000000;\">left;\n    a<\/span>-&gt;left = b-&gt;<span style=\"color: #000000;\">right;\n    b<\/span>-&gt;right =<span style=\"color: #000000;\"> a;\n    a<\/span>-&gt;height = max(getheight(a-&gt;left),getheight(a-&gt;right))+<span style=\"color: #800080;\">1<\/span><span style=\"color: #000000;\">;\n    b<\/span>-&gt;height = max(getheight(b-&gt;left),a-&gt;height)+<span style=\"color: #800080;\">1<\/span><span style=\"color: #000000;\">;\n    <\/span><span style=\"color: #0000ff;\">return<\/span><span style=\"color: #000000;\"> b;\n}\navltree singlerightrotation(avltree a){\n    <\/span><span style=\"color: #008000;\">\/\/<\/span><span style=\"color: #008000;\">a\u6709\u53f3\u5b50\u7ed3\u70b9b\uff0crr<\/span>\n    avltree b = a-&gt;<span style=\"color: #000000;\">right;\n    a<\/span>-&gt;right = b-&gt;<span style=\"color: #000000;\">left;\n    b<\/span>-&gt;left =<span style=\"color: #000000;\"> a;\n    a<\/span>-&gt;height = max(getheight(a-&gt;left),getheight(a-&gt;right))+<span style=\"color: #800080;\">1<\/span><span style=\"color: #000000;\">;\n    b<\/span>-&gt;height = max(getheight(b-&gt;right),a-&gt;height)+<span style=\"color: #800080;\">1<\/span><span style=\"color: #000000;\">;\n    <\/span><span style=\"color: #0000ff;\">return<\/span><span style=\"color: #000000;\"> b;\n}\n\navltree doubleleftrightpotation(avltree a){\n    <\/span><span style=\"color: #008000;\">\/\/<\/span><span style=\"color: #008000;\">a\u6709\u5de6\u5b50\u7ed3\u70b9b\uff0cb\u6709\u53f3\u7ed3\u70b9c\uff0clr\u65cb\u8f6c<\/span>\n    a-&gt;left = singlerightrotation(a-&gt;left);<span style=\"color: #008000;\">\/\/<\/span><span style=\"color: #008000;\">bandc<\/span>\n    <span style=\"color: #0000ff;\">return<\/span> singleleftrotation(a);<span style=\"color: #008000;\">\/\/<\/span><span style=\"color: #008000;\">aandc ll<\/span>\n<span style=\"color: #000000;\">}\n\navltree doublerightleftpotation(avltree a){\n    <\/span><span style=\"color: #008000;\">\/\/<\/span><span style=\"color: #008000;\">rl<\/span>\n    a-&gt;right = singleleftrotation(a-&gt;<span style=\"color: #000000;\">right);\n    <\/span><span style=\"color: #0000ff;\">return<\/span><span style=\"color: #000000;\"> singlerightrotation(a);\n}\n\n<\/span><span style=\"color: #008000;\">\/\/<\/span><span style=\"color: #008000;\">\u63d2\u5165<\/span>\navltree insert(avltree t,<span style=\"color: #0000ff;\">int<\/span><span style=\"color: #000000;\"> x){\n    <\/span><span style=\"color: #0000ff;\">if<\/span>(!<span style=\"color: #000000;\">t){\n        t <\/span>= (avltree)<span style=\"color: #0000ff;\">malloc<\/span>(<span style=\"color: #0000ff;\">sizeof<\/span>(<span style=\"color: #0000ff;\">struct<\/span><span style=\"color: #000000;\"> avlnode));\n        t<\/span>-&gt;data =<span style=\"color: #000000;\"> x;\n        t<\/span>-&gt;height = <span style=\"color: #800080;\">0<\/span><span style=\"color: #000000;\">;\n        t<\/span>-&gt;right = t-&gt;left =<span style=\"color: #000000;\"> null;\n    }\n    <\/span><span style=\"color: #0000ff;\">else<\/span> <span style=\"color: #0000ff;\">if<\/span>(x &lt; t-&gt;<span style=\"color: #000000;\">data){\n        t<\/span>-&gt;left = insert(t-&gt;<span style=\"color: #000000;\">left,x);\n        <\/span><span style=\"color: #0000ff;\">if<\/span>(getheight(t-&gt;left)-getheight(t-&gt;right) == <span style=\"color: #800080;\">2<\/span><span style=\"color: #000000;\">)\n            <\/span><span style=\"color: #0000ff;\">if<\/span>(x&lt;t-&gt;left-&gt;<span style=\"color: #000000;\">data)\n                t <\/span>=<span style=\"color: #000000;\"> singleleftrotation(t);\n            <\/span><span style=\"color: #0000ff;\">else<\/span><span style=\"color: #000000;\">\n                t <\/span>=<span style=\"color: #000000;\"> doubleleftrightpotation(t);\n    }\n    <\/span><span style=\"color: #0000ff;\">else<\/span> <span style=\"color: #0000ff;\">if<\/span>(x &gt; t-&gt;<span style=\"color: #000000;\">data){\n        t<\/span>-&gt;right = insert(t-&gt;<span style=\"color: #000000;\">right,x);\n        <\/span><span style=\"color: #0000ff;\">if<\/span>(getheight(t-&gt;left)-getheight(t-&gt;right) == -<span style=\"color: #800080;\">2<\/span><span style=\"color: #000000;\">)\n            <\/span><span style=\"color: #0000ff;\">if<\/span>(x &gt; t-&gt;right-&gt;<span style=\"color: #000000;\">data)\n                t <\/span>=<span style=\"color: #000000;\"> singlerightrotation(t);\n            <\/span><span style=\"color: #0000ff;\">else<\/span><span style=\"color: #000000;\">\n                t <\/span>=<span style=\"color: #000000;\"> doublerightleftpotation(t);\n    }\n    t<\/span>-&gt;height = max(getheight(t-&gt;left),getheight(t-&gt;right))+<span style=\"color: #800080;\">1<\/span><span style=\"color: #000000;\">;\n    <\/span><span style=\"color: #0000ff;\">return<\/span><span style=\"color: #000000;\"> t;\n}<\/span><\/pre>\n<\/div>\n<p><img decoding=\"async\" src=\"https:\/\/img2020.cnblogs.com\/blog\/1634852\/202102\/1634852-20210217205420332-1313028724.png\" alt=\"\" loading=\"lazy\" \/><\/p>\n<p>&nbsp;\u4e00\u56fe\u8be6\u89e3avl\u6811\u64cd\u4f5c<\/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>#include&lt;bits\/stdc++.h&gt; #define maxsize 100  [&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-162","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>\u5e73\u8861\u4e8c\u53c9\u6811 - 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=162\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5e73\u8861\u4e8c\u53c9\u6811 - imwarming\" \/>\n<meta property=\"og:description\" content=\"#include&lt;bits\/stdc++.h&gt; #define maxsize 100 [&hellip;]\" 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