{"id":57803,"date":"2025-08-15T20:00:04","date_gmt":"2025-08-15T12:00:04","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/57803.html"},"modified":"2025-08-15T20:00:04","modified_gmt":"2025-08-15T12:00:04","slug":"%e3%80%90%e6%8f%ad%e7%a7%98%e7%ba%a2%e9%bb%91%e6%a0%91%ef%bc%9a%e9%ab%98%e6%95%88%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%e8%a7%a3%e6%9e%90%e3%80%91","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/57803.html","title":{"rendered":"\u3010\u63ed\u79d8\u7ea2\u9ed1\u6811\uff1a\u9ad8\u6548\u6570\u636e\u7ed3\u6784\u89e3\u6790\u3011"},"content":{"rendered":"<\/p>\n<h4>\u7ea2\u9ed1\u6811<\/h4>\n<ul>\n<li>\u524d\u8a00<\/li>\n<li>\u4e00\u3001\u7ea2\u9ed1\u6811\u7684\u6982\u5ff5<\/li>\n<li>\n<ul>\n<li>(\u4e00)\u7ea2\u9ed1\u6811\u7684\u89c4\u5219<\/li>\n<li>(\u4e8c)\u7ea2\u9ed1\u6811\u6700\u957f\u8def\u5f84\u4e0e\u6700\u77ed\u8def\u5f84<\/li>\n<li>(\u4e09)\u7ea2\u9ed1\u6811\u7684\u6548\u7387<\/li>\n<\/ul>\n<\/li>\n<li>\u4e8c\u3001\u7ea2\u9ed1\u6811\u7684\u5b9e\u73b0<\/li>\n<li>\n<ul>\n<li>(\u4e00) 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<\/p>\n<p>\u8bf4\u660e&#xff1a;\u300a\u7b97\u6cd5\u5bfc\u8bba\u300b\u7b49\u4e66\u7c4d\u4e0a\u8865\u5145\u4e86\u2f00\u6761\u6bcf\u4e2a\u53f6\u2f26\u7ed3\u70b9(NIL)\u90fd\u662f\u2fca\u2f8a\u7684\u89c4\u5219\u3002\u4ed6\u8fd9\u2fa5\u6240\u6307\u7684\u53f6\u2f26\u7ed3\u70b9\u4e0d\u662f\u4f20\u7edf\u7684\u610f\u4e49\u4e0a\u7684\u53f6\u2f26\u7ed3\u70b9&#xff0c;\u2f7d\u662f\u6211\u4eec\u8bf4\u7684\u7a7a\u7ed3\u70b9&#xff0c;\u6709\u4e9b\u4e66\u7c4d\u4e0a\u4e5f\u628aNIL\u53eb\u505a\u5916\u90e8\u7ed3\u70b9\u3002NIL\u662f\u4e3a\u4e86\u2f45\u4fbf\u51c6\u786e\u7684\u6807\u8bc6\u51fa\u6240\u6709\u8def\u5f84&#xff0c;\u300a\u7b97\u6cd5\u5bfc\u8bba\u300b\u5728\u540e\u7eed\u8bb2\u89e3\u5b9e\u73b0\u7684\u7ec6\u8282\u4e2d\u4e5f\u5ffd\u7565\u4e86NIL\u7ed3\u70b9&#xff0c;\u6240\u4ee5\u6211\u4eec\u77e5\u9053\u2f00\u4e0b\u8fd9\u4e2a\u6982\u5ff5\u5373\u53ef\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815115954-689f213add004.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815115955-689f213bb7bb3.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815115956-689f213c88b9d.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>(\u4e8c)\u7ea2\u9ed1\u6811\u6700\u957f\u8def\u5f84\u4e0e\u6700\u77ed\u8def\u5f84<\/h3>\n<p>\u2022 \u7531\u89c4\u52194\u53ef\u77e5&#xff0c;\u4ece\u6839\u5230NULL\u7ed3\u70b9\u7684\u6bcf\u6761\u8def\u5f84\u90fd\u6709\u76f8\u540c\u6570\u91cf\u7684\u2fca\u2f8a\u7ed3\u70b9&#xff0c;\u6240\u4ee5\u6781\u7aef\u573a\u666f\u4e0b&#xff0c;\u6700\u77ed\u8def\u5f84\u5c31\u5c31\u662f\u5168\u662f\u2fca\u2f8a\u7ed3\u70b9\u7684\u8def\u5f84&#xff0c;\u5047\u8bbe\u6700\u77ed\u8def\u5f84\u2ed3\u5ea6\u4e3abh(black height)\u3002 \u2022 \u7531\u89c4\u52192\u548c\u89c4\u52193\u53ef\u77e5&#xff0c;\u4efb\u610f\u2f00\u6761\u8def\u5f84\u4e0d\u4f1a\u6709\u8fde\u7eed\u7684\u7ea2\u2f8a\u7ed3\u70b9&#xff0c;\u6240\u4ee5\u6781\u7aef\u573a\u666f\u4e0b&#xff0c;\u6700\u2ed3\u7684\u8def\u5f84\u5c31\u662f\u2f00\u2fca\u2f00\u7ea2\u95f4\u9694\u7ec4\u6210&#xff0c;\u90a3\u4e48\u6700\u2ed3\u8def\u5f84\u7684\u2ed3\u5ea6\u4e3a2*bh\u3002 \u2022 \u7efc\u5408\u7ea2\u2fca\u6811\u76844\u70b9\u89c4\u5219\u2f7d\u2f94&#xff0c;\u7406\u8bba\u4e0a\u7684\u5168\u2fca\u6700\u77ed\u8def\u5f84\u548c\u2f00\u2fca\u2f00\u7ea2\u7684\u6700\u2ed3\u8def\u5f84\u5e76\u4e0d\u662f\u5728\u6bcf\u68f5\u7ea2\u2fca\u6811\u90fd\u5b58\u5728\u7684\u3002\u5047\u8bbe\u4efb\u610f\u2f00\u6761\u4ece\u6839\u5230NULL\u7ed3\u70b9\u8def\u5f84\u7684\u2ed3\u5ea6\u4e3ax&#xff0c;\u90a3\u4e48bh &lt;&#061; h &lt;&#061; 2 * bh\u3002<\/p>\n<h3>(\u4e09)\u7ea2\u9ed1\u6811\u7684\u6548\u7387<\/h3>\n<p>\u5047\u8bbeN\u662f\u7ea2\u2fca\u6811\u6811\u4e2d\u7ed3\u70b9\u6570\u91cf&#xff0c;h\u6700\u77ed\u8def\u5f84\u7684\u2ed3\u5ea6&#xff0c;\u90a3\u4e482^ h \u2212 1 &lt;&#061; N &lt; 2 ^&#xff08;2\u2217h&#xff09; \u2212 1 , \u7531\u6b64\u63a8\u51fa h \u2248 logN &#xff0c;\u4e5f\u5c31\u662f\u610f\u5473\u7740\u7ea2\u2fca\u6811\u589e\u5220\u67e5\u6539\u6700\u574f\u4e5f\u5c31\u662f\u2f9b\u6700\u2ed3\u8def\u5f84 2 \u2217 logN &#xff0c;\u90a3\u4e48\u65f6\u95f4\u590d\u6742\u5ea6\u8fd8\u662f O(logN). \u7ea2\u2fca\u6811\u7684\u8868\u8fbe\u76f8\u5bf9AVL\u6811\u8981\u62bd\u8c61\u2f00\u4e9b&#xff0c;AVL\u6811\u901a\u8fc7\u2fbc\u5ea6\u5dee\u76f4\u89c2\u7684\u63a7\u5236\u4e86\u5e73\u8861\u3002\u7ea2\u2fca\u6811\u901a\u8fc74\u6761\u89c4\u5219\u7684\u989c\u2f8a\u7ea6\u675f&#xff0c;\u95f4\u63a5\u7684\u5b9e\u73b0\u4e86\u8fd1\u4f3c\u5e73\u8861&#xff0c;\u4ed6\u4eec\u6548\u7387\u90fd\u662f\u540c\u2f00\u6863\u6b21&#xff0c;\u4f46\u662f\u76f8\u5bf9\u2f7d\u2f94&#xff0c;\u63d2\u2f0a\u76f8\u540c\u6570\u91cf\u7684\u7ed3\u70b9&#xff0c;\u7ea2\u2fca\u6811\u7684\u65cb\u8f6c\u6b21\u6570\u662f\u66f4\u5c11\u7684&#xff0c;\u56e0\u4e3a\u4ed6\u5bf9\u5e73\u8861\u7684\u63a7\u5236\u6ca1\u90a3\u4e48\u4e25\u683c\u3002 <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815115957-689f213d7842b.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h2>\u4e8c\u3001\u7ea2\u9ed1\u6811\u7684\u5b9e\u73b0<\/h2>\n<p>\u7ea2\u9ed1\u6811\u7684\u4e3b\u8981\u63a5\u53e3\u6709\u63d2\u5165\u3001\u5220\u9664\u3001\u67e5\u627e\u3001\u904d\u5386\u3002 \u5176\u4e2d&#xff0c;\u7ea2\u9ed1\u6811\u7684\u5220\u9664\u3001\u67e5\u627e\u3001\u904d\u5386\u4ee3\u7801\u5b9e\u73b0\u51e0\u4e4e\u548c\u4e8c\u53c9\u6811\u641c\u7d22\u6811\u4e00\u81f4&#xff0c;\u6545\u4e0d\u518d\u91cd\u590d\u8bf4\u660e&#xff0c;\u53ef\u4ee5\u53c2\u8003[\u4e8c\u53c9\u641c\u7d22\u6811]\u3002(https:\/\/blog.csdn.net\/2501_90956005\/article\/details\/150230291?spm&#061;1001.2014.3001.5501)<\/p>\n<p>\u800c\u7ea2\u9ed1\u6811\u7684\u5b9e\u73b0\u4e2d\u6700\u590d\u6742\u7684\u5c31\u662f\u7ea2\u9ed1\u6811\u7684\u63d2\u5165&#xff0c;\u91cd\u70b9\u7406\u89e3&#xff01;<\/p>\n<h3>(\u4e00) \u7ea2\u9ed1\u6811\u7684\u7ed3\u6784<\/h3>\n<p><span class=\"token operator\">\/<\/span> \u679a\u4e3e\u503c\u8868\u2f70\u989c\u2f8a<br \/>\n<span class=\"token keyword\">enum<\/span> <span class=\"token class-name\">Colour<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nRED<span class=\"token punctuation\">,<\/span><br \/>\nBLACK<br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/ \u8fd9\u2fa5\u6211\u4eec\u9ed8\u8ba4\u6309key\/value\u7ed3\u6784\u5b9e\u73b0<\/span><br \/>\n<span class=\"token keyword\">template<\/span><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">K<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">V<\/span><span class=\"token operator\">&gt;<\/span><br \/>\n<span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">RBTreeNode<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/ \u8fd9\u2fa5\u66f4\u65b0\u63a7\u5236\u5e73\u8861\u4e5f\u8981\u52a0\u2f0aparent\u6307\u9488<\/span><br \/>\npair<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span> _kv<span class=\"token punctuation\">;<\/span><br \/>\nRBTreeNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _left<span class=\"token punctuation\">;<\/span><br \/>\nRBTreeNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _right<span class=\"token punctuation\">;<\/span><br \/>\nRBTreeNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _parent<span class=\"token punctuation\">;<\/span><br \/>\nColour _col<span class=\"token operator\">&#061;<\/span>RED<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">RBTreeNode<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> pair<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> kv<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token operator\">:<\/span><span class=\"token function\">_kv<\/span><span class=\"token punctuation\">(<\/span>kv<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">,<\/span> <span class=\"token function\">_left<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">,<\/span> <span class=\"token function\">_right<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">,<\/span> <span class=\"token function\">_parent<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">template<\/span><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">K<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">V<\/span><span class=\"token operator\">&gt;<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">RBTree<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> RBTreeNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span> Node<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n<span class=\"token comment\">\/\/\u7ea2\u9ed1\u6811\u7684\u5e38\u7528\u63a5\u53e3\u5b9e\u73b0<\/span><br \/>\n<span class=\"token comment\">\/\/&#8230;&#8230;<\/span><\/p>\n<p><span class=\"token keyword\">private<\/span><span class=\"token operator\">:<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> _root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h3>(\u4e8c) \u7ea2\u9ed1\u6811\u7684\u63d2\u5165<\/h3>\n<p>\u9996\u5148&#xff0c;\u7ea2\u9ed1\u6811\u7684\u63d2\u5165\u8981\u5206\u4e3a\u4ee5\u4e0b\u8fdb\u884c\u8ba8\u8bba&#xff1a; \u8bf4\u660e&#xff1a;\u4e0b\u56fe\u4e2d\u5047\u8bbe\u6211\u4eec\u628a\u65b0\u589e\u7ed3\u70b9\u6807\u8bc6\u4e3ac (cur)&#xff0c;c\u7684\u2f57\u4eb2\u8282\u70b9\u6807\u8bc6\u4e3ap(parent)&#xff0c;p\u7684\u2f57\u4eb2\u8282\u70b9\u6807\u8bc6\u4e3ag(grandfather)&#xff0c;p\u7684\u5144\u5f1f\u8282\u70b9\u6807\u8bc6\u4e3au&#xff08;uncle&#xff09; \u60c5\u51b5\u4e00&#xff1a;u\u5b58\u5728\u4e14\u4e3a\u7ea2 \u60c5\u51b5\u4e8c&#xff1a;u\u4e0d\u5b58\u5728\u6216\u8005\u662f\u2fca\u2f8a\u7684&#xff0c;\u4e14\u63d2\u5165\u8282\u70b9\u9760\u8fd1\u6811\u7684\u8fb9\u7f18&#xff0c;\u5982\u56fe\u4e00\u3002 \u60c5\u51b5\u4e09&#xff1a;u\u4e0d\u5b58\u5728\u6216\u8005\u662f\u2fca\u2f8a\u7684&#xff0c;\u4e14\u63d2\u5165\u8282\u70b9\u9760\u8fd1\u6811\u7684\u5185\u90e8&#xff0c;\u5982\u56fe\u4e8c\u3002<\/p>\n<p>\u56fe\u4e00&#xff1a; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815115958-689f213e629a3.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u56fe\u4e8c&#xff1a; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815115959-689f213f3c7ed.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>1.\u60c5\u51b5\u4e00<\/h4>\n<p>u\u5b58\u5728\u4e14\u4e3a\u7ea2<\/p>\n<p>\u8fd9\u662f\u4e09\u79cd\u60c5\u51b5\u4e2d\u6700\u7b80\u5355\u7684\u60c5\u51b5\u3002 \u5904\u7406&#xff1a;c\u4e3a\u7ea2&#xff0c;p\u4e3a\u7ea2&#xff0c;g\u4e3a\u2fca&#xff0c;u\u5b58\u5728\u4e14\u4e3a\u7ea2&#xff0c;\u5219\u5c06p\u548cu\u53d8\u2fca&#xff0c;g\u53d8\u7ea2\u3002\u5728\u628ag\u5f53\u505a\u65b0\u7684c&#xff0c;\u7ee7\u7eed\u5f80\u4e0a\u66f4\u65b0\u3002 \u56fe\u793a&#xff1a; <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815120000-689f214039950.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h4>2.\u60c5\u51b5\u4e8c<\/h4>\n<p>u\u4e0d\u5b58\u5728\u6216\u8005\u662f\u2fca\u2f8a\u7684&#xff0c;\u4e14\u63d2\u5165\u8282\u70b9\u9760\u8fd1\u6811\u7684\u8fb9\u7f18<\/p>\n<p>\u8fd9\u79cd\u60c5\u51b5\u6211\u4eec\u4ecd\u7136\u50cf\u60c5\u51b5\u4e00\u6837\u8fdb\u884c\u5904\u7406&#xff0c;\u5c31\u4f1a\u7834\u574f\u7ea2\u9ed1\u6811\u7684\u7ed3\u6784\u89c4\u5219&#xff0c;\u6240\u4ee5\u8fd9\u91cc\u9700\u8981\u50cfAVL\u6811\u4e00\u6837\u8fdb\u884c\u65cb\u8f6c\u5904\u7406\u3002<\/p>\n<p>\u65cb\u8f6c\u5206\u4e3a\u5411\u5de6\u65cb\u3001\u5411\u53f3\u65cb\u8f6c\u3002 \u4e0b\u9762\u662f\u6211\u753b\u7684\u62bd\u8c61\u56fe&#xff1a; \u5176\u4e2d&#xff0c;g\u4e3a\u65cb\u8f6c\u51fd\u6570\u4f20\u5165\u53c2\u6570&#xff0c;\u5708\u8d77\u6765\u7684\u5185\u5bb9\u8868\u793a\u5173\u7cfb\u65e0\u53d8\u5316&#xff0c;\u8fde\u7ebf\u5185\u5bb9\u8868\u793a\u5173\u7cfb\u51fa\u73b0\u53d8\u5316\u3002 <img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815120001-689f214167b12.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4ee3\u7801\u793a\u4f8b&#xff1a; \u6ce8&#xff1a;\u65cb\u8f6c\u7ed3\u675f\u540e\u8981\u66f4\u65b0\u8282\u70b9\u989c\u8272\u3002<\/p>\n<p><span class=\"token comment\">\/\/\u5411\u53f3\u65cb\u8f6c<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">Rotate_R<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token operator\">&amp;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> temp <span class=\"token operator\">&#061;<\/span> parent<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> pgrandpaent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><\/p>\n<p>grandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>temp<span class=\"token punctuation\">)<\/span><br \/>\ntemp<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>grandparent <span class=\"token operator\">&#061;&#061;<\/span> _root<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n_root <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>pgrandpaent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandpaent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandpaent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandpaent<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandpaent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token comment\">\/\/\u5411\u5de6\u65cb\u8f6c<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">Rotate_L<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token operator\">&amp;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> temp <span class=\"token operator\">&#061;<\/span> parent<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> pgrandparent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><\/p>\n<p>grandparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>temp<span class=\"token punctuation\">)<\/span><br \/>\ntemp<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><\/p>\n<p>grandparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>grandparent <span class=\"token operator\">&#061;&#061;<\/span> _root<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n_root <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>pgrandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandparent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandparent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>3.\u60c5\u51b5\u4e09<\/h4>\n<p>u\u4e0d\u5b58\u5728\u6216\u8005\u662f\u2fca\u2f8a\u7684&#xff0c;\u4e14\u63d2\u5165\u8282\u70b9\u9760\u8fd1\u6811\u7684\u5185\u90e8<\/p>\n<p>\u8fd9\u4e2d\u60c5\u51b5\u9700\u8981\u590d\u7528\u4e24\u6b21\u5355\u6b21\u65cb\u8f6c\u6765\u8fdb\u884c\u5904\u7406&#xff0c;\u4e14\u4e24\u6b21\u65cb\u8f6c\u5fc5\u987b\u4e3a\u5148\u5de6\u65cb\u540e\u53f3\u65cb\u6216\u8005\u5148\u53f3\u65cb\u540e\u5de6\u65cb\u3002<\/p>\n<p>\u7136\u540e\u518d\u5bf9\u8282\u70b9\u989c\u8272\u8fdb\u884c\u66f4\u65b0\u3002<\/p>\n<p>\u6ce8&#xff1a;\u901a\u8fc7\u89c2\u5bdf\u65cb\u8f6c\u524d\u540e\u53d8\u5316\u56fe\u53ef\u4ee5\u77e5\u9053&#xff0c;\u8282\u70b9\u989c\u8272\u7684\u66f4\u65b0\u53ef\u4ee5\u53ea\u770b\u7ed3\u679c&#xff0c;\u800c\u4e0d\u53bb\u6ce8\u610f\u8fc7\u7a0b\u3002<\/p>\n<h4>4.\u63d2\u5165\u4ee3\u7801\u793a\u4f8b<\/h4>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">Rotate_R<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token operator\">&amp;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> temp <span class=\"token operator\">&#061;<\/span> parent<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> pgrandpaent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><\/p>\n<p>grandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>temp<span class=\"token punctuation\">)<\/span><br \/>\ntemp<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>grandparent <span class=\"token operator\">&#061;&#061;<\/span> _root<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n_root <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>pgrandpaent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandpaent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandpaent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandpaent<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandpaent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">Rotate_L<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token operator\">&amp;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> temp <span class=\"token operator\">&#061;<\/span> parent<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> pgrandparent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><\/p>\n<p>grandparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>temp<span class=\"token punctuation\">)<\/span><br \/>\ntemp<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><\/p>\n<p>grandparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>grandparent <span class=\"token operator\">&#061;&#061;<\/span> _root<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n_root <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>pgrandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandparent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandparent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">bool<\/span> <span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> pair<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> kv<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>_root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n_root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">,<\/span>kv<span class=\"token punctuation\">.<\/span>second<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n_root<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>Node<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> _root<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&gt;<\/span> kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>cur <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">,<\/span> kv<span class=\"token punctuation\">.<\/span>second<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token operator\">&gt;<\/span>kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\ncur<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">&amp;&amp;<\/span>parent<span class=\"token operator\">-&gt;<\/span>_col<span class=\"token operator\">&#061;&#061;<\/span>RED<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> grandparent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>grandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> parent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> uncle <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>uncle <span class=\"token operator\">&amp;&amp;<\/span> uncle<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;&#061;<\/span> RED<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> uncle<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">Rotate_R<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">Rotate_L<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">Rotate_R<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\ncur<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> uncle <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>uncle <span class=\"token operator\">&amp;&amp;<\/span> uncle<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;&#061;<\/span> RED<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> uncle<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">Rotate_L<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">Rotate_R<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">Rotate_L<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\ncur<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h3>(\u4e09)\u7ea2\u9ed1\u6811\u7684\u9a8c\u8bc1<\/h3>\n<p>\u5728\u8fdb\u884c\u5b8c\u7ea2\u9ed1\u6811\u7684\u589e\u5220\u67e5\u64cd\u4f5c\u540e&#xff0c;\u6211\u4eec\u53ef\u80fd\u4f1a\u5bf9\u7ea2\u9ed1\u6811\u7684\u7ed3\u679c\u91cd\u65b0\u9a8c\u8bc1&#xff0c;\u5224\u65ad\u5b83\u8fd8\u662f\u4e0d\u662f\u7ea2\u9ed1\u6811\u3002 \u8fd9\u91cc\u4ec5\u63d0\u4f9b\u601d\u8def&#xff1a; \u4f7f\u7528\u524d\u5e8f\u904d\u5386&#xff0c;\u671f\u95f4\u5982\u679c\u904d\u5386\u5230\u7ea2\u8272\u8282\u70b9&#xff0c;\u5bf9\u8be5\u8282\u70b9\u7684\u7236\u8282\u70b9\u989c\u8272\u8fdb\u884c\u5224\u65ad&#xff0c;\u5982\u679c\u7236\u8282\u70b9\u4e5f\u4e3a\u7ea2\u8272&#xff0c;\u90a3\u4e48\u4ed6\u5c31\u4e0d\u662f\u7ea2\u9ed1\u6811&#xff0c;\u8fd4\u56defalse&#xff1b;\u53cd\u4e4b\u7ee7\u7eed\u904d\u5386&#xff0c;\u76f4\u5230\u904d\u5386\u7ed3\u675f\u8fd4\u56detrue\u3002<\/p>\n<h2>\u4e09\u3001\u7ea2\u9ed1\u6811\u6574\u4f53\u4ee3\u7801\u793a\u4f8b<\/h2>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">pragma<\/span> <span class=\"token expression\">once<\/span><\/span><\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;iostream&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;string&gt;<\/span><\/span><\/p>\n<p><span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">enum<\/span> <span class=\"token class-name\">Colour<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nRED<span class=\"token punctuation\">,<\/span><br \/>\nBLACK<br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">template<\/span><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">typename<\/span> <span class=\"token class-name\">K<\/span><span class=\"token punctuation\">,<\/span><span class=\"token keyword\">typename<\/span> <span class=\"token class-name\">V<\/span><span class=\"token operator\">&gt;<\/span><br \/>\n<span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">RBNode<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">RBNode<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> K<span class=\"token operator\">&amp;<\/span> key<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">const<\/span> V<span class=\"token operator\">&amp;<\/span> value<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token operator\">:<\/span><span class=\"token function\">_key<\/span><span class=\"token punctuation\">(<\/span>key<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">,<\/span><span class=\"token function\">_value<\/span><span class=\"token punctuation\">(<\/span>value<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><\/p>\n<p>K _key<span class=\"token punctuation\">;<\/span><br \/>\nV _value<span class=\"token punctuation\">;<\/span><br \/>\nRBNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _parent<span class=\"token operator\">&#061;<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\nRBNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _left<span class=\"token operator\">&#061;<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\nRBNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _right<span class=\"token operator\">&#061;<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\nColour _col<span class=\"token operator\">&#061;<\/span>RED<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">template<\/span><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">typename<\/span> <span class=\"token class-name\">K<\/span><span class=\"token punctuation\">,<\/span><span class=\"token keyword\">typename<\/span> <span class=\"token class-name\">V<\/span><span class=\"token operator\">&gt;<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">RBTree<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> RBNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span> Node<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">Rotate_R<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token operator\">&amp;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> temp <span class=\"token operator\">&#061;<\/span> parent<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> pgrandpaent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><\/p>\n<p>grandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>temp<span class=\"token punctuation\">)<\/span><br \/>\ntemp<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>grandparent <span class=\"token operator\">&#061;&#061;<\/span> _root<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n_root <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>pgrandpaent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandpaent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandpaent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandpaent<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandpaent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">Rotate_L<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token operator\">&amp;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> temp <span class=\"token operator\">&#061;<\/span> parent<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> pgrandparent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><\/p>\n<p>grandparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> temp<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>temp<span class=\"token punctuation\">)<\/span><br \/>\ntemp<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><\/p>\n<p>grandparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>grandparent <span class=\"token operator\">&#061;&#061;<\/span> _root<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n_root <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>pgrandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandparent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\npgrandparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> pgrandparent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">bool<\/span> <span class=\"token function\">Insert<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> pair<span class=\"token operator\">&lt;<\/span>K<span class=\"token punctuation\">,<\/span> V<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> kv<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>_root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n_root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">,<\/span>kv<span class=\"token punctuation\">.<\/span>second<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n_root<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>Node<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> _root<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&gt;<\/span> kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;<\/span> kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>cur <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">,<\/span> kv<span class=\"token punctuation\">.<\/span>second<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token operator\">&gt;<\/span>kv<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\ncur<span class=\"token operator\">-&gt;<\/span>_parent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">&amp;&amp;<\/span>parent<span class=\"token operator\">-&gt;<\/span>_col<span class=\"token operator\">&#061;&#061;<\/span>RED<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> grandparent <span class=\"token operator\">&#061;<\/span> parent<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>grandparent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> parent<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> uncle <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>uncle <span class=\"token operator\">&amp;&amp;<\/span> uncle<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;&#061;<\/span> RED<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> uncle<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">Rotate_R<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">Rotate_L<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">Rotate_R<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\ncur<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> uncle <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>uncle <span class=\"token operator\">&amp;&amp;<\/span> uncle<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;&#061;<\/span> RED<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> uncle<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> grandparent<span class=\"token punctuation\">;<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_parent<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">Rotate_L<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\nparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">Rotate_R<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">Rotate_L<\/span><span class=\"token punctuation\">(<\/span>grandparent<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ngrandparent<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> RED<span class=\"token punctuation\">;<\/span><br \/>\ncur<span class=\"token operator\">-&gt;<\/span>_col <span class=\"token operator\">&#061;<\/span> BLACK<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">InOrder<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>Node<span class=\"token operator\">*<\/span> 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punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>key<span class=\"token operator\">&gt;<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>key <span class=\"token operator\">&lt;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\ncur <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">private<\/span><span class=\"token operator\">:<\/span><br \/>\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>root <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ncout <span class=\"token operator\">&lt;&lt;<\/span> root<span class=\"token operator\">-&gt;<\/span>_key <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034; &#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> root<span class=\"token operator\">-&gt;<\/span>_value <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token 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