{"id":58281,"date":"2025-08-16T07:29:50","date_gmt":"2025-08-15T23:29:50","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/58281.html"},"modified":"2025-08-16T07:29:50","modified_gmt":"2025-08-15T23:29:50","slug":"%e4%ba%8c%e5%8f%89%e6%90%9c%e7%b4%a2%e6%a0%91%e6%b7%b1%e5%ba%a6%e8%a7%a3%e6%9e%90%ef%bc%9a%e4%bb%8e%e5%8e%9f%e7%90%86%e5%ae%9e%e7%8e%b0%e5%88%b0%e7%ae%97%e6%b3%95%e5%ba%94%e7%94%a8-%e3%80%8ahello-c","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/58281.html","title":{"rendered":"\u4e8c\u53c9\u641c\u7d22\u6811\u6df1\u5ea6\u89e3\u6790\uff1a\u4ece\u539f\u7406\u5b9e\u73b0\u5230\u7b97\u6cd5\u5e94\u7528----\u300aHello C++ Wrold!\u300b(18)--(C\/C++)"},"content":{"rendered":"<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>\u524d\u8a00<\/li>\n<li>\u4e8c\u53c9\u641c\u7d22\u6811&#xff08;\u4e8c\u53c9\u6392\u5e8f\u6811\u6216\u4e8c\u53c9\u67e5\u627e\u6811&#xff09;<\/li>\n<li>\n<ul>\n<li>\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6a21\u62df\u5b9e\u73b0<\/li>\n<li>\u4e8c\u53c9\u641c\u7d22\u6811\u548c\u6709\u5e8f\u6570\u7ec4\u4e8c\u5206\u67e5\u627e\u7684\u6bd4\u8f83<\/li>\n<li>\u4e24\u4e2a\u641c\u7d22\u6a21\u578b<\/li>\n<\/ul>\n<\/li>\n<li>\u4f5c\u4e1a\u90e8\u5206<\/li>\n<\/ul>\n<h2>\u524d\u8a00<\/h2>\n<p>\u4e8c\u53c9\u641c\u7d22\u6811&#xff08;Binary Search Tree&#xff0c;\u7b80\u79f0 BST&#xff09;\u4f5c\u4e3a\u4e00\u79cd\u91cd\u8981\u7684\u6811\u5f62\u6570\u636e\u7ed3\u6784&#xff0c;\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u9886\u57df\u6709\u7740\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u5b83\u51ed\u501f\u5176\u57fa\u4e8e\u952e\u503c\u7684\u6709\u5e8f\u6027&#xff0c;\u80fd\u591f\u9ad8\u6548\u5730\u652f\u6301\u6570\u636e\u7684\u63d2\u5165\u3001\u5220\u9664\u548c\u67e5\u627e\u7b49\u64cd\u4f5c&#xff0c;\u662f\u8bb8\u591a\u590d\u6742\u7b97\u6cd5\u548c\u7cfb\u7edf\u7684\u57fa\u7840\u7ec4\u4ef6\u3002<\/p>\n<p>\u672c\u6587\u5c06\u56f4\u7ed5\u4e8c\u53c9\u641c\u7d22\u6811\u5c55\u5f00\u5168\u9762\u800c\u6df1\u5165\u7684\u63a2\u8ba8\u3002\u9996\u5148&#xff0c;\u6211\u4eec\u5c06\u4ece\u5176\u6838\u5fc3\u5b9a\u4e49\u548c\u5173\u952e\u6027\u8d28\u51fa\u53d1&#xff0c;\u5e2e\u52a9\u8bfb\u8005\u5efa\u7acb\u5bf9\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u57fa\u672c\u8ba4\u77e5&#xff0c;\u5305\u62ec\u5176\u901a\u8fc7\u4e2d\u5e8f\u904d\u5386\u53ef\u5f97\u5230\u5347\u5e8f\u5e8f\u5217\u8fd9\u4e00\u91cd\u8981\u7279\u6027\u3002\u968f\u540e&#xff0c;\u8be6\u7ec6\u5256\u6790\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u5404\u9879\u57fa\u672c\u64cd\u4f5c&#xff0c;\u5982\u63d2\u5165\u3001\u67e5\u627e\u3001\u5220\u9664\u7b49&#xff0c;\u5e76\u901a\u8fc7 C&#043;&#043; \u4ee3\u7801\u5b9e\u73b0\u8fdb\u884c\u5177\u4f53\u6f14\u793a&#xff0c;\u540c\u65f6\u5bf9\u6bd4\u9012\u5f52\u4e0e\u975e\u9012\u5f52\u5b9e\u73b0\u65b9\u5f0f\u7684\u5f02\u540c\u3002<\/p>\n<p>\u6b64\u5916&#xff0c;\u6211\u4eec\u8fd8\u5c06\u5bf9\u4e8c\u53c9\u641c\u7d22\u6811\u4e0e\u6709\u5e8f\u6570\u7ec4\u7684\u4e8c\u5206\u67e5\u627e\u8fdb\u884c\u5bf9\u6bd4\u5206\u6790&#xff0c;\u660e\u786e\u5404\u81ea\u7684\u4f18\u52bf\u4e0e\u5c40\u9650\u3002\u6700\u540e&#xff0c;\u7ed3\u5408\u4e00\u7cfb\u5217\u7ecf\u5178\u7684\u7b97\u6cd5\u9898\u76ee&#xff0c;\u5982\u4e8c\u53c9\u641c\u7d22\u6811\u4e0e\u53cc\u5411\u94fe\u8868\u7684\u8f6c\u6362\u3001\u6839\u636e\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811\u3001\u4e8c\u53c9\u6811\u7684\u975e\u9012\u5f52\u904d\u5386\u7b49&#xff0c;\u5c55\u793a\u4e8c\u53c9\u641c\u7d22\u6811\u5728\u5b9e\u9645\u95ee\u9898\u4e2d\u7684\u5e94\u7528&#xff0c;\u5e2e\u52a9\u8bfb\u8005\u5de9\u56fa\u6240\u5b66\u77e5\u8bc6&#xff0c;\u63d0\u5347\u89e3\u51b3\u590d\u6742\u95ee\u9898\u7684\u80fd\u529b\u3002\u65e0\u8bba\u662f\u6570\u636e\u7ed3\u6784\u521d\u5b66\u8005&#xff0c;\u8fd8\u662f\u5e0c\u671b\u6df1\u5316\u5bf9\u4e8c\u53c9\u641c\u7d22\u6811\u7406\u89e3\u7684\u5f00\u53d1\u8005&#xff0c;\u90fd\u80fd\u4ece\u672c\u6587\u4e2d\u83b7\u5f97\u6709\u4ef7\u503c\u7684\u53c2\u8003\u3002<\/p>\n<h2>\u4e8c\u53c9\u641c\u7d22\u6811&#xff08;\u4e8c\u53c9\u6392\u5e8f\u6811\u6216\u4e8c\u53c9\u67e5\u627e\u6811&#xff09;<\/h2>\n<p>\u6982\u5ff5:\u662f\u4e00\u9897\u7a7a\u6811\u6216\u8005\u662f\u5177\u6709\u4ee5\u4e0b\u6027\u8d28\u7684\u4e8c\u53c9\u6811:<\/p>\n<p>1.\u82e5\u5de6\u5b50\u6811\u4e0d\u4e3a\u7a7a&#xff0c;\u5219\u5de6\u5b50\u6811\u4e0a\u6240\u6709\u8282\u70b9\u7684\u503c\u90fd\u5c0f\u4e8e\u6839\u8282\u70b9\u7684\u503c<\/p>\n<p>2.\u82e5\u53f3\u5b50\u6811\u4e0d\u4e3a\u7a7a&#xff0c;\u5219\u53f3\u5b50\u6811\u4e0a\u6240\u6709\u8282\u70b9\u7684\u503c\u90fd\u5927\u4e8e\u6839\u8282\u70b9\u7684\u503c<\/p>\n<p>3.\u5b83\u7684\u5de6\u53f3\u5b50\u6811\u4e5f\u5206\u522b\u4e3a\u4e8c\u53c9\u641c\u7d22\u6811<\/p>\n<p>\u5f15\u7533:a.\u7528\u4e2d\u5e8f\u904d\u5386\u53bb\u904d\u5386\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u7ed3\u679c\u6b63\u597d\u662f\u5347\u5e8f<\/p>\n<p>     b.\u67e5\u627e\u5176\u4e2d\u5143\u7d20\u7684\u6700\u574f\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(n)&#8211;n\u8868\u793an\u4e2a\u5143\u7d20<\/p>\n<p>\u6bd4\u5982:<img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815232947-689fc2eba2500.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>c.\u7ed3\u70b9\u5de6\u8fb9\u6240\u6709\u7684\u6811\u90fd\u6bd4\u7ed3\u70b9\u5c0f;\u7ed3\u70b9\u53f3\u8fb9\u6240\u6709\u7684\u6811\u90fd\u6bd4\u7ed3\u70b9\u5927<\/p>\n<h3>\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6a21\u62df\u5b9e\u73b0<\/h3>\n<p><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 operator\">&gt;<\/span><br \/>\n<span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">BSTreeNode<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nBSTreeNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _left<span class=\"token punctuation\">;<\/span><br \/>\nBSTreeNode<span class=\"token operator\">&lt;<\/span>K<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">*<\/span> _right<span class=\"token punctuation\">;<\/span><br \/>\nK _key<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token function\">BSTreeNode<\/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><br \/>\n<span class=\"token operator\">:<\/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\">_key<\/span><span class=\"token punctuation\">(<\/span>key<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><\/p>\n<p><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 operator\">&gt;<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">BSTree<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">typedef<\/span> BSTreeNode<span class=\"token operator\">&lt;<\/span>K<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 function\">BSTree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token operator\">:<\/span><span class=\"token function\">_root<\/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><\/p>\n<p>     <span class=\"token function\">BSTree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> BSTree<span class=\"token operator\">&lt;<\/span>K<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> t<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n_root <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>t<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>BSTree<span class=\"token operator\">&lt;<\/span>K<span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> <span class=\"token keyword\">operator<\/span><span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span>BSTree<span class=\"token operator\">&lt;<\/span>K<span class=\"token operator\">&gt;<\/span> t<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>_root<span class=\"token punctuation\">,<\/span> t<span class=\"token punctuation\">.<\/span>_root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u7406\u89e3!<\/span><br \/>\n<span class=\"token keyword\">return<\/span> <span class=\"token operator\">*<\/span><span class=\"token keyword\">this<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token operator\">~<\/span><span class=\"token function\">BSTree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token function\">Destroy<\/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><span class=\"token keyword\">bool<\/span> <span class=\"token function\">Insert<\/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 comment\">\/\/\u63d2\u5165\u4e0d\u4e86\u91cd\u590d\u7684\u503c<\/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>key<span class=\"token punctuation\">)<\/span><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 \/>\nNode<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>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 \/>\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> <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 \/>\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><span class=\"token comment\">\/\/cur\u53ea\u662f\u91cc\u9762\u5b58\u7684\u503c\u53d8\u6210\u4e86\u4ed6\u7684<\/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>key<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u628a\u5f00\u8f9f\u597d\u7684\u5730\u5740\u5b58\u5728\u4e86cur\u91cc\u9762<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>key <span class=\"token operator\">&gt;<\/span> parent<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">)<\/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><span class=\"token comment\">\/\/\u672c\u6765\u91cc\u9762\u662fnullptr;<\/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>_left <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><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\">bool<\/span> <span class=\"token function\">Find<\/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><br \/>\n<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>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> <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><\/p>\n<p><span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">bool<\/span> <span class=\"token function\">Erase<\/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><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nNode<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><\/p>\n<p><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>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 \/>\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> <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 \/>\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 comment\">\/\/ \u627e\u5230\u4e86<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n <span class=\"token comment\">\/\/ \u5de6\u4e3a\u7a7a<\/span><br \/>\n<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_left <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<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur <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> 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\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/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 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 \/>\nparent<span class=\"token operator\">-&gt;<\/span>_left <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 punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token comment\">\/\/ \u53f3\u4e3a\u7a7a<\/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>_right <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<span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>cur <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> 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\">if<\/span> <span class=\"token punctuation\">(<\/span>parent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;&#061;<\/span> cur<span class=\"token punctuation\">)<\/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 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 \/>\nparent<span class=\"token operator\">-&gt;<\/span>_left <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 punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n                <span class=\"token comment\">\/\/ \u5de6\u53f3\u90fd\u4e0d\u4e3a\u7a7a <\/span><br \/>\n<span class=\"token keyword\">else<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token comment\">\/\/ \u627e\u66ff\u4ee3\u8282\u70b9<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> parent <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u8fd9\u91cc\u4e0d\u80fd\u662fnullptr,\u4e0d\u7136\u8981\u5220\u7684\u5730\u65b9\u662f\u6839\u8282\u70b9\u5c31\u60e8\u4e86<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> leftMax <span class=\"token operator\">&#061;<\/span> cur<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>leftMax<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\nparent <span class=\"token operator\">&#061;<\/span> leftMax<span class=\"token punctuation\">;<\/span><br \/>\nleftMax <span class=\"token operator\">&#061;<\/span> leftMax<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token function\">swap<\/span><span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">,<\/span> leftMax<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><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> leftMax<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> leftMax<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 \/>\nparent<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> leftMax<span class=\"token operator\">-&gt;<\/span>_left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token comment\">\/\/\u8fd9\u4e2a\u5c31\u662f\u5de6\u5b50\u6811\u5b58\u5728\u53f3\u5b50\u6811\u7684\u60c5\u51b5<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token comment\">\/\/\u8fd9\u91cc\u8981\u6ce8\u610f!!!<\/span><\/p>\n<p>cur <span class=\"token operator\">&#061;<\/span> leftMax<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">delete<\/span> cur<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><\/p>\n<p><span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/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 \/>\ncout <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token comment\">\/*bool FindR(const K&amp; key)<br \/>\n{<br \/>\nreturn _FindR(_root, key);<br \/>\n}<\/p>\n<p>bool InsertR(const K&amp; key)<br \/>\n{<br \/>\nreturn _InsertR(_root, key);<br \/>\n}<\/p>\n<p>bool EraseR(const K&amp; key)<br \/>\n{<br \/>\nreturn _EraseR(_root, key);<br \/>\n}*\/<\/span>\u7528\u9012\u5f52\u5b9e\u73b0\u8fd9\u4e9b\u51fd\u6570<\/p>\n<p><span class=\"token keyword\">private<\/span><span class=\"token operator\">:<\/span><\/p>\n<p><span class=\"token comment\">\/*<\/p>\n<p>bool _EraseR(Node*&amp; root, const K&amp; key)\u8fd9\u79cd\u6811\u5f62\u9012\u5f52\u7684\u8bdd\u4e00\u822c\u90fd\u8981\u4f20\u8fd9\u4e2aroot<br \/>\n{<br \/>\nif (root &#061;&#061; nullptr)<br \/>\nreturn false;<\/p>\n<p>if (root-&gt;_key &lt; key)<br \/>\n{<br \/>\nreturn _EraseR(root-&gt;_right, key);<br \/>\n}<br \/>\nelse if (root-&gt;_key &gt; key)<br \/>\n{<br \/>\nreturn _EraseR(root-&gt;_left, key);<br \/>\n}<br \/>\nelse<br \/>\n{<br \/>\nNode* del &#061; root;<\/p>\n<p>\/\/ 1\u3001\u5de6\u4e3a\u7a7a<br \/>\n\/\/ 2\u3001\u53f3\u4e3a\u7a7a<br \/>\n\/\/ 3\u3001\u5de6\u53f3\u90fd\u4e0d\u4e3a\u7a7a<br \/>\nif (root-&gt;_left &#061;&#061; nullptr)<br \/>\n{<br \/>\nroot &#061; root-&gt;_right;<br \/>\n}<br \/>\nelse if (root-&gt;_right &#061;&#061; nullptr)<br \/>\n{<br \/>\nroot &#061; root-&gt;_left;<br \/>\n}<br \/>\nelse<br \/>\n{<br \/>\nNode* leftMax &#061; root-&gt;_left;\u8fd9\u91cc\u53ef\u4e0d\u662f\u4f20\u7684\u5f15\u7528<br \/>\nwhile (leftMax-&gt;_right)<br \/>\n{<br \/>\nleftMax &#061; leftMax-&gt;_right;<br \/>\n}<\/p>\n<p>swap(root-&gt;_key, leftMax-&gt;_key);<br \/>\nreturn _EraseR(root-&gt;_left, key);\u8fd9\u91cc\u4e0d\u80fd\u662f(leftMax,key)!!!<br \/>\n                                                 \u5012\u4e0d\u662f\u5b83\u662f\u5c40\u90e8\u53d8\u91cf\u7684\u5173\u7cfb<br \/>\n}<\/p>\n<p>delete del;<br \/>\nreturn true;<br \/>\n}<br \/>\n}<\/p>\n<p>bool _InsertR(Node*&amp; root, const K&amp; key)\u8fd9\u91cc\u7528&amp;\u5c31\u975e\u5e38\u597d<\/p>\n<p>{<br \/>\nif (root &#061;&#061; nullptr)<br \/>\n{<br \/>\nroot &#061; new Node(key);<br \/>\nreturn true;<br \/>\n}<\/p>\n<p>if (root-&gt;_key &lt; key)<br \/>\n{<br \/>\nreturn _InsertR(root-&gt;_right, key);<br \/>\n}<br \/>\nelse if (root-&gt;_key &gt; key)<br \/>\n{<br \/>\nreturn _InsertR(root-&gt;_left, key);<br \/>\n}<br \/>\nelse<br \/>\n{<br \/>\nreturn false;<br \/>\n}<br \/>\n}<\/p>\n<p>bool _FindR(Node* root, const K&amp; key)<br \/>\n{<br \/>\nif (root &#061;&#061; nullptr)<br \/>\nreturn false;<\/p>\n<p>if (root-&gt;_key &lt; key)<br \/>\n{<br \/>\nreturn _FindR(root-&gt;_right, key);<br \/>\n}<br \/>\nelse if (root-&gt;_key &gt; key)<br \/>\n{<br \/>\nreturn _FindR(root-&gt;_left, key);<br \/>\n}<br \/>\nelse<br \/>\n{<br \/>\nreturn true;<br \/>\n}<br \/>\n}<\/p>\n<p>*\/<\/span>\u8fd9\u662f\u7528\u9012\u5f52\u5b9e\u73b0\u7684\u51fd\u6570<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 constant\">NULL<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<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 punctuation\">;<\/span><br \/>\n<span class=\"token function\">_InOrder<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_right<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> <span class=\"token function\">Copy<\/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 keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>Node<span class=\"token operator\">*<\/span> copyroot <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">Node<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_key<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\ncopyroot<span class=\"token operator\">-&gt;<\/span>_left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Copy<\/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 \/>\ncopyroot<span class=\"token operator\">-&gt;<\/span>_right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Copy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">return<\/span> copyroot<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token comment\">\/\/\u8fd9\u91cc\u7528\u7684\u662f\u524d\u5e8f\u904d\u5386,\u7528\u4e2d\u5e8f\u53ef\u4e0d\u884c<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token operator\">&amp;<\/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\">Destroy<\/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 \/>\n<span class=\"token function\">Destroy<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>_right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">delete<\/span> root<span class=\"token punctuation\">;<\/span><br \/>\nroot <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\">private<\/span><span class=\"token operator\">:<\/span><br \/>\nNode<span class=\"token operator\">*<\/span> _root<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u5f15\u7533:1.swap\u5bf9\u4e8e\u57fa\u672c\u7c7b\u578b&#xff0c;\u4ea4\u6362\u7684\u662f\u503c;\u5bf9\u4e8e\u6307\u9488&#xff0c;\u4ea4\u6362\u7684\u662f\u6307\u9488\u91cc\u9762\u5b58\u7684\u503c<\/p>\n<p>     2.\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u5220\u9664\u64cd\u4f5c\u7684\u6a21\u62df\u5b9e\u73b0\u505a\u6cd5:<\/p>\n<p> \u627e\u5230\u540e\u5206\u60c5\u51b5:<br \/>\n1.\u7ed3\u70b9\u6ca1\u6709\u5b69\u5b50&#8211;\u76f4\u63a5\u5220<br \/>\n2.\u7ed3\u70b9\u6709\u4e00\u4e2a\u5b69\u5b50&#8211;\u6258\u5b64<br \/>\n3.\u7ed3\u70b9\u6709\u4e24\u4e2a\u5b69\u5b50&#8211;\u66ff\u6362\u6cd5:\u8be5\u7ed3\u70b9\u8ddf\u5de6\u5b50\u6811\u7684\u6700\u53f3(\u6700\u5927)\u7ed3\u70b9\u6216\u53f3\u5b50\u6811\u7684\u6700\u5de6(\u6700\u5c0f)\u7ed3\u70b9\u66ff\u6362,\u7136\u540e\u5220\u9664<\/p>\n<p> 3.\u5173\u4e8e\u5f15\u7528,\u5e73\u65f6\u8bf4\u7684\u8bdd\u5c31\u662f\u4e0d\u5f00\u7a7a\u95f4,\u63a2\u8ba8\u5e95\u5c42\u6c47\u7f16\u624d\u8003\u8651\u5b83\u5176\u5b9e\u662f\u5360\u4e86\u7a7a\u95f4\u7684<\/p>\n<h3>\u4e8c\u53c9\u641c\u7d22\u6811\u548c\u6709\u5e8f\u6570\u7ec4\u4e8c\u5206\u67e5\u627e\u7684\u6bd4\u8f83<\/h3>\n<p>\u4e8c\u5206\u67e5\u627e\u7684\u8bdd&#xff0c;\u63d2\u5165\u548c\u5220\u9664\u7684\u6548\u7387\u4e0d\u592a\u884c<\/p>\n<p>\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u8bdd&#xff0c;\u67e5\u627e\u6392\u5e8f\u63d2\u5165\u5220\u9664\u6548\u7387\u90fd\u4e0d\u9519&#xff0c;\u4f46\u662f\u4e0b\u9650\u592a\u4f4e\u4e86,\u5982\u56fe:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815232947-689fc2ebbb507.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>\u4e24\u4e2a\u641c\u7d22\u6a21\u578b<\/h3>\n<p>1.key\u7684\u641c\u7d22\u6a21\u578b:\u5feb\u901f\u5224\u65ad\u5728\u4e0d\u5728<\/p>\n<p>eg:\u95e8\u7981\u7cfb\u7edf \u5c0f\u533a\u8f66\u8f86\u51fa\u5165\u7cfb\u7edf<\/p>\n<p> \u6bd4\u5982:\u68c0\u67e5\u4e00\u7bc7\u82f1\u6587\u6587\u7ae0&#xff0c;\u770b\u5355\u8bcd\u662f\u5426\u62fc\u5199\u6b63\u786e<br \/>\n\u505a\u6cd5:\u8bfb\u53d6\u8bcd\u5e93\u5230\u4e00\u9897\u641c\u7d22\u6811\u4e0a&#xff0c;\u8bfb\u53d6\u5355\u8bcd&#xff0c;\u770b\u5728\u4e0d\u5728-\u4e0d\u5728\u5c31\u662f\u62fc\u5199\u9519\u8bef<\/p>\n<p>2.key\/value\u7684\u641c\u7d22\u6a21\u578b:\u901a\u8fc7\u4e00\u4e2a\u503c\u627e\u53e6\u5916\u4e00\u4e2a\u503c<\/p>\n<p>eg:\u5546\u573a\u7684\u8f66\u8f86\u51fa\u5165\u7cfb\u7edf \u9ad8\u94c1\u5b9e\u540d\u5236\u8f66\u7968\u7cfb\u7edf<\/p>\n<p> \u4e3e\u4f8b:\u7edf\u8ba1\u6c34\u679c\u51fa\u73b0\u7684\u6b21\u6570<br \/>\n\u505a\u6cd5:\u7b2c\u4e00\u6b21\u51fa\u73b0\u7684\u8bdd&#xff0c;\u8981\u63d2\u5165\u8fd9\u4e2a\u6c34\u679c\u540d\u548c\u5b83\u51fa\u73b0\u7684\u6b21\u6570\u4e3a1<br \/>\n    \u4e0d\u662f\u7b2c\u4e00\u6b21\u7684\u8bdd&#xff0c;\u76f4\u63a5\u6b21\u6570&#043;&#043;\u5c31\u884c\u4e86<\/p>\n<p>\u6ce8\u610f:key\u4e00\u822c\u662f\u4e0d\u5141\u8bb8\u91cd\u590d\u7684\u4fe1\u606f!<\/p>\n<p>k-v\u6a21\u578b\u7684\u8bdd&#xff0c;\u5728\u4e0a\u9762\u7684\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u6a21\u62df\u5b9e\u73b0\u91cc\u9762,\u6210\u5458\u53d8\u91cf\u8981\u52a0\u4e2avalue,Insert\u548cerase\u64cd\u4f5c\u7684\u5f62\u53c2\u8981\u52a0value<\/p>\n<h2>\u4f5c\u4e1a\u90e8\u5206<\/h2>\n<p>\u4e0b\u9762\u5173\u4e8e\u4e8c\u53c9\u641c\u7d22\u6811\u6b63\u786e\u7684\u8bf4\u6cd5\u662f&#xff08;C&#xff09;<br \/>\nA.\u5f85\u5220\u9664\u8282\u70b9\u6709\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u65f6&#xff0c;\u53ea\u80fd\u4f7f\u7528\u5de6\u5b50\u6811\u7684\u6700\u5927\u503c\u8282\u70b9\u66ff\u6362\u5f85\u5220\u9664\u8282\u70b9<br \/>\nB.\u7ed9\u5b9a\u4e00\u68f5\u4e8c\u53c9\u641c\u7d22\u6811\u7684\u524d\u5e8f\u548c\u4e2d\u5e8f\u904d\u7387\u5386\u7ed3\u679c&#xff0c;\u65e0\u6cd5\u786e\u5b9a\u8fd9\u68f5\u4e8c\u53c9\u641c\u7d22\u6811<br \/>\nC.\u7ed9\u5b9a\u4e00\u68f5\u4e8c\u53c9\u641c\u7d22\u6811&#xff0c;\u6839\u636e\u8282\u70b9\u503c\u5927\u5c0f\u6392\u5e8f\u6240\u9700\u65f6\u95f4\u590d\u6742\u5ea6\u662f\u7ebf\u6027\u7684<br \/>\nD.\u7ed9\u5b9a\u4e00\u68f5\u4e8c\u53c9\u641c\u7d22\u6811&#xff0c;\u53ef\u4ee5\u5728\u7ebf\u6027\u65f6\u95f4\u590d\u6742\u5ea6\u5185\u8f6c\u5316\u4e3a\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811<\/p>\n<p>\u5f15\u7533:\u4f7f\u7528\u4e24\u4e2a\u904d\u5386\u7ed3\u679c\u786e\u5b9a\u6811\u7684\u7ed3\u6784&#xff0c; \u5176\u4e2d\u6709\u4e00\u4e2a\u904d\u5386\u7ed3\u679c\u5fc5\u987b\u8981\u662f\u4e2d\u5e8f\u904d\u5386\u7ed3\u679c,\u8fd9\u6837\u5c31\u53ef\u4ee5<\/p>\n<p>\u725b\u5ba2\u7f51 JZ36 \u4e8c\u53c9\u641c\u7d22\u6811\u4e0e\u53cc\u5411\u94fe\u8868<\/p>\n<p>\u725b\u5ba2\u7f51    JZ36 \u4e8c\u53c9\u641c\u7d22\u6811\u4e0e\u53cc\u5411\u94fe\u8868<br \/>\n\u505a\u6cd5:\u4e5f\u5c31\u662f\u628a\u5f53\u524d\u5728\u7684\u5730\u65b9\u7684left\u6539\u6210\u6307\u5411\u4e2d\u5e8f\u904d\u5386\u4e0a\u4e00\u4e2a\u7ed3\u70b9&#xff0c;\u628aright\u6539\u6210\u6307\u5411\u4e2d\u5e8f\u904d\u5386\u4e0b\u4e00\u4e2a\u7ed3\u70b9<br \/>\n    \u5728\u524d\u5e8f\u904d\u5386\u6539\u7ed3\u70b9\u7684\u65f6\u5019:prev\u4e00\u5b9a\u8981\u4f20\u5f15\u7528<br \/>\n\u6ce8\u610f:\u6700\u540e\u8fd4\u56de\u7684\u7ed3\u70b9\u591a\u534a\u4e0d\u662f\u5f00\u5934\u7ed9\u7684\u90a3\u4e2a\u7ed3\u70b9<br \/>\n    \u6613\u5fd8\u8fd9\u4e00\u6b65:if(prev) prev-&gt;right &#061; cur;<\/p>\n<p>\u4ee3\u7801\u5c55\u793a<span class=\"token operator\">:<\/span><br \/>\n<span class=\"token comment\">\/*<br \/>\nstruct TreeNode {<br \/>\nint val;<br \/>\nstruct TreeNode *left;<br \/>\nstruct TreeNode *right;<br \/>\nTreeNode(int x) :<br \/>\nval(x), left(NULL), right(NULL) {<br \/>\n}<br \/>\n};*\/<\/span><\/p>\n<p><span class=\"token keyword\">void<\/span> <span class=\"token function\">Inorder<\/span><span class=\"token punctuation\">(<\/span>TreeNode<span class=\"token operator\">*<\/span>cur<span class=\"token punctuation\">,<\/span>TreeNode<span class=\"token operator\">*<\/span><span class=\"token operator\">&amp;<\/span>prev<span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/\u8fd9\u4e2a\u8981\u6ce8\u610f<\/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\">&#061;&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span> <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>cur<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">,<\/span>prev<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u7b2c\u4e8c\u4e2a\u4f20cur\u4f1a\u51fa\u4e8b<\/span><br \/>\ncur<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">&#061;<\/span> prev<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>prev<span class=\"token punctuation\">)<\/span> prev<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/\u8fd9\u4e2a\u4e0d\u80fd\u7701&#xff0c;\u53f6\u5b50\u7ed3\u70b9\u9700\u8981\u8fd9\u4e2a<\/span><br \/>\nprev <span class=\"token operator\">&#061;<\/span> cur<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">Inorder<\/span><span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">,<\/span> prev<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    TreeNode<span class=\"token operator\">*<\/span> <span class=\"token function\">Convert<\/span><span class=\"token punctuation\">(<\/span>TreeNode<span class=\"token operator\">*<\/span> pRootOfTree<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        TreeNode<span class=\"token operator\">*<\/span> prev <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token function\">Inorder<\/span><span class=\"token punctuation\">(<\/span>pRootOfTree<span class=\"token punctuation\">,<\/span> prev<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>pRootOfTree<span class=\"token operator\">&amp;&amp;<\/span>pRootOfTree<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">)<\/span> pRootOfTree <span class=\"token operator\">&#061;<\/span> pRootOfTree<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">return<\/span> pRootOfTree<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815232947-689fc2ebd30f8.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5f15\u7533:while\u548cif\u81ea\u5df1\u8001\u662f\u5bb9\u6613\u5199\u6df7<\/p>\n<p>\u529b\u6263 606. \u6839\u636e\u4e8c\u53c9\u6811\u521b\u5efa\u5b57\u7b26\u4e32<\/p>\n<p>\u529b\u6263 606. \u6839\u636e\u4e8c\u53c9\u6811\u521b\u5efa\u5b57\u7b26\u4e32<br \/>\n\u8fd9\u9053\u9898\u6700\u4e3b\u8981\u662f()\u7684\u5904\u7406:<br \/>\n1.\u5de6\u8fb9\u4e3a\u7a7a&#xff0c;\u53f3\u8fb9\u4e0d\u4e3a\u7a7a-&gt;\u5de6\u8fb9\u53f3\u8fb9\u62ec\u53f7\u90fd\u4fdd\u7559<br \/>\n2.\u5de6\u8fb9\u4e0d\u4e3a\u7a7a&#xff0c;\u53f3\u8fb9\u4e3a\u7a7a-&gt;\u5de6\u8fb9\u62ec\u53f7\u4fdd\u7559<br \/>\n3.\u5de6\u8fb9\u53f3\u8fb9\u90fd\u4e3a\u7a7a-&gt;\u5de6\u8fb9\u53f3\u8fb9\u7684\u62ec\u53f7\u90fd\u4e0d\u4fdd\u7559<\/p>\n<p>\u6ce8\u610f:root-&gt;val\u8bb0\u5f97\u8f6c\u5316\u6210string\u7c7b\u578b\u7684<\/p>\n<p><span class=\"token comment\">\/**<br \/>\n * Definition for a binary tree node.<br \/>\n * struct TreeNode {<br \/>\n *     int val;<br \/>\n *     TreeNode *left;<br \/>\n *     TreeNode *right;<br \/>\n *     TreeNode() : val(0), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}<br \/>\n * };<br \/>\n *\/<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    string <span class=\"token function\">tree2str<\/span><span class=\"token punctuation\">(<\/span>TreeNode<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        string s1<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> <span class=\"token keyword\">return<\/span> <span class=\"token string\">&#034;&#034;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">else<\/span> s1<span class=\"token operator\">&#043;&#061;<\/span><span class=\"token function\">to_string<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token operator\">||<\/span>root<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span><br \/>\n      <span class=\"token punctuation\">{<\/span><br \/>\n            s1<span class=\"token operator\">&#043;&#061;<\/span><span class=\"token string\">&#034;(&#034;<\/span><span class=\"token punctuation\">;<\/span>s1<span class=\"token operator\">&#043;&#061;<\/span> <span class=\"token function\">tree2str<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> s1<span class=\"token operator\">&#043;&#061;<\/span><span class=\"token string\">&#034;)&#034;<\/span><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\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/<\/span><br \/>\n        <span class=\"token punctuation\">{<\/span><br \/>\n              s1<span class=\"token operator\">&#043;&#061;<\/span><span class=\"token string\">&#034;(&#034;<\/span><span class=\"token punctuation\">;<\/span>s1<span class=\"token operator\">&#043;&#061;<\/span><span class=\"token function\">tree2str<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> s1<span class=\"token operator\">&#043;&#061;<\/span><span class=\"token string\">&#034;)&#034;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> s1<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815232948-689fc2ec327e4.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u6ce8\u610f\u7406\u89e3\u8fd9\u91cc\u5c40\u90e8\u53d8\u91cfs1\u7684\u7528\u6cd5<\/p>\n<p>\u529b\u6263 236. \u4e8c\u53c9\u6811\u7684\u6700\u8fd1\u516c\u5171\u7956\u5148<\/p>\n<p>\u529b\u6263   236. \u4e8c\u53c9\u6811\u7684\u6700\u8fd1\u516c\u5171\u7956\u5148<br \/>\n\u505a\u6cd51:\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(N\u5e73\u65b9)<br \/>\n\u5148\u67e5\u627e,\u770bp,q\u770b\u8be5\u7ed3\u70b9\u7684\u5de6\u8fb9\u8fd8\u662f\u53f3\u8fb9-&gt;\u4e00\u4e2a\u5728\u5de6\u4e00\u4e2a\u5728\u53f3\u8fd9\u4e2a\u7ed3\u70b9\u5c31\u662f\u6700\u8fd1\u516c\u5171\u7956\u5148<br \/>\n                               \u5728\u540c\u4e00\u8fb9\u5c31\u8981\u9012\u5f52\u53bb\u90a3\u4e00\u8fb9\u518d\u6765<br \/>\n\u6ce8\u610f:p,q\u5176\u4e2d\u4e00\u4e2a\u53ef\u80fd\u5c31\u662f\u6700\u8fd1\u516c\u5171\u7956\u5148<\/p>\n<p>\u505a\u6cd52:\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n)<br \/>\n\u641e\u4e86\u4e24\u4e2a\u6808,\u628a\u5230p,q\u7684\u8def\u5f84\u5b58\u5728\u4e86\u6808\u91cc\u9762&#xff0c;\u4e4b\u540e\u6839\u636e\u4ed6\u4eec\u7684\u516c\u5171\u7956\u5148\u9ad8\u5ea6\u5e94\u8be5\u4e00\u6837\u6765\u627e<\/p>\n<p>\u4ee3\u7801\u5c55\u793a<span class=\"token operator\">:<\/span><br \/>\n<span class=\"token comment\">\/**<br \/>\n * Definition for a binary tree node.<br \/>\n * struct TreeNode {<br \/>\n *     int val;<br \/>\n *     TreeNode *left;<br \/>\n *     TreeNode *right;<br \/>\n *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}<br \/>\n * };<br \/>\n *\/<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n   <span class=\"token keyword\">bool<\/span> <span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span>TreeNode<span class=\"token operator\">*<\/span>root<span class=\"token punctuation\">,<\/span>TreeNode<span class=\"token operator\">*<\/span>target<span class=\"token punctuation\">,<\/span>stack<span class=\"token operator\">&lt;<\/span>TreeNode<span class=\"token operator\">*<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span>path<span class=\"token punctuation\">)<\/span><span class=\"token comment\">\/\/<\/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> <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     path<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token punctuation\">)<\/span><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> target<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">,<\/span>target<span class=\"token punctuation\">,<\/span>path<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">,<\/span>target<span class=\"token punctuation\">,<\/span>path<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     path<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n     <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>   <span class=\"token punctuation\">}<\/span><\/p>\n<p>    TreeNode<span class=\"token operator\">*<\/span> <span class=\"token function\">lowestCommonAncestor<\/span><span class=\"token punctuation\">(<\/span>TreeNode<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">,<\/span> TreeNode<span class=\"token operator\">*<\/span> p<span class=\"token punctuation\">,<\/span> TreeNode<span class=\"token operator\">*<\/span> q<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        stack<span class=\"token operator\">&lt;<\/span>TreeNode<span class=\"token operator\">*<\/span><span class=\"token operator\">&gt;<\/span> p1<span class=\"token punctuation\">,<\/span>q1<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token punctuation\">,<\/span>p<span class=\"token punctuation\">,<\/span>p1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><span class=\"token function\">Find<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token punctuation\">,<\/span>q<span class=\"token punctuation\">,<\/span>q1<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>p1<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">&gt;<\/span>q1<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>   p1<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>p1<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">&lt;<\/span>q1<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span>   q1<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>p1<span class=\"token punctuation\">.<\/span><span class=\"token function\">top<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">!&#061;<\/span>q1<span class=\"token punctuation\">.<\/span><span class=\"token function\">top<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n      <span class=\"token punctuation\">{<\/span><br \/>\n        p1<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> q1<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n      <span class=\"token punctuation\">}<\/span><br \/>\n      <span class=\"token keyword\">return<\/span> p1<span class=\"token punctuation\">.<\/span><span class=\"token function\">top<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815232948-689fc2ec5e6f2.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4e0a\u9762\u662f\u505a\u6cd52\u7684Find\u7684\u5199\u6cd5<\/p>\n<p>\u529b\u6263 105. \u4ece\u524d\u5e8f\u4e0e\u4e2d\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811<\/p>\n<p>\u529b\u6263    105. \u4ece\u524d\u5e8f\u4e0e\u4e2d\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811<br \/>\n\u505a\u6cd5: \u7528\u524d\u5e8f\u53bb\u786e\u5b9a\u6839\u7684\u4f4d\u7f6e&#xff0c;\u7528\u4e2d\u5e8f\u53bb\u5206\u5272\u5de6\u53f3\u533a\u95f4&#xff08;\u4e5f\u5c31\u662f\u4e2d\u5e8f\u53bb\u5224\u65ad\u5b8c\u6ca1\u5b8c&#xff09;<br \/>\n\u6ce8\u610f:root\u521b\u5efa\u7a7a\u95f4\u7684\u5199\u6cd5: TreeNode*root &#061; new TreeNode(preorder[previ]);<br \/>\n    previ\u8981\u5e26\u5f15\u7528,\u4f20\u53c2\u65f6\u4e0d\u80fd\u4f20\u4e2a0\u8fc7\u53bb\u8fd9\u6837!<\/p>\n<p><span class=\"token comment\">\/**<br \/>\n * Definition for a binary tree node.<br \/>\n * struct TreeNode {<br \/>\n *     int val;<br \/>\n *     TreeNode *left;<br \/>\n *     TreeNode *right;<br \/>\n *     TreeNode() : val(0), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}<br \/>\n * };<br \/>\n *\/<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n       TreeNode<span class=\"token operator\">*<\/span> <span class=\"token function\">_build<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> preorder<span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> inorder<br \/>\n                        <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&amp;<\/span>previ<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> begini<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> endi<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>begini<span class=\"token operator\">&gt;<\/span>endi<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        TreeNode<span class=\"token operator\">*<\/span>root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">TreeNode<\/span><span class=\"token punctuation\">(<\/span>preorder<span class=\"token punctuation\">[<\/span>previ<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> rooti <span class=\"token operator\">&#061;<\/span> begini<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>rooti<span class=\"token operator\">&lt;&#061;<\/span>endi<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>preorder<span class=\"token punctuation\">[<\/span>previ<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> inorder<span class=\"token punctuation\">[<\/span>rooti<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>   <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            rooti<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token operator\">&#043;&#043;<\/span>previ<span class=\"token punctuation\">;<\/span><br \/>\n        root<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">_build<\/span><span class=\"token punctuation\">(<\/span>preorder<span class=\"token punctuation\">,<\/span>inorder<span class=\"token punctuation\">,<\/span>previ<span class=\"token punctuation\">,<\/span>begini<span class=\"token punctuation\">,<\/span>rooti<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n          root<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">_build<\/span><span class=\"token punctuation\">(<\/span>preorder<span class=\"token punctuation\">,<\/span>inorder<span class=\"token punctuation\">,<\/span>previ<span class=\"token punctuation\">,<\/span>rooti<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span>endi<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> root<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    TreeNode<span class=\"token operator\">*<\/span> <span class=\"token function\">buildTree<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> preorder<span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> inorder<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> n <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">)<\/span>preorder<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">int<\/span> p <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token function\">_build<\/span><span class=\"token punctuation\">(<\/span>preorder<span class=\"token punctuation\">,<\/span>inorder<span class=\"token punctuation\">,<\/span>p<span class=\"token punctuation\">,<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span>n<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u81ea\u5df1\u5b9e\u73b0\u7684\u51fd\u6570:<img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815232948-689fc2eca0daa.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u529b\u6263 106. \u4ece\u4e2d\u5e8f\u4e0e\u540e\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811 \u529b\u6263 144. \u4e8c\u53c9\u6811\u7684\u524d\u5e8f\u904d\u5386(\u81ea\u5df1\u8981\u6c42\u81ea\u5df1\u7528\u975e\u9012\u5f52\u7684\u5f62\u5f0f\u5b8c\u6210) \u529b\u6263 94. \u4e8c\u53c9\u6811\u7684\u4e2d\u5e8f\u904d\u5386(\u81ea\u5df1\u8981\u6c42\u81ea\u5df1\u7528\u975e\u9012\u5f52\u7684\u5f62\u5f0f\u5b8c\u6210) \u529b\u6263 145. \u4e8c\u53c9\u6811\u7684\u540e\u5e8f\u904d\u5386(\u81ea\u5df1\u8981\u6c42\u81ea\u5df1\u7528\u975e\u9012\u5f52\u7684\u5f62\u5f0f\u5b8c\u6210)<\/p>\n<p>\u529b\u6263 <span class=\"token number\">106.<\/span> \u4ece\u4e2d\u5e8f\u4e0e\u540e\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811<br \/>\n\u8ddf\u4e0a\u9762\u505a\u6cd5\u7684\u533a\u522b<span class=\"token operator\">:<\/span>previ\u8981\u4ece\u6700\u540e\u5f00\u59cb\u53d6<span class=\"token punctuation\">,<\/span>\u7136\u540e\u6839\u6784\u5efa\u5b8c\u4e4b\u540e\u5148\u6784\u5efa\u53f3\u6811<\/p>\n<p>\u4ee3\u7801\u5c55\u793a<span class=\"token operator\">:<\/span><br \/>\n<span class=\"token comment\">\/**<br \/>\n * Definition for a binary tree node.<br \/>\n * struct TreeNode {<br \/>\n *     int val;<br \/>\n *     TreeNode *left;<br \/>\n *     TreeNode *right;<br \/>\n *     TreeNode() : val(0), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}<br \/>\n * };<br \/>\n *\/<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\nTreeNode<span class=\"token operator\">*<\/span> <span class=\"token function\">_build<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> postorder<span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> inorder<br \/>\n                 <span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&amp;<\/span>previ<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> begini<span class=\"token punctuation\">,<\/span><span class=\"token keyword\">int<\/span> endi<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>begini<span class=\"token operator\">&gt;<\/span>endi<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><span class=\"token comment\">\/\/<\/span><br \/>\n        TreeNode<span class=\"token operator\">*<\/span>root <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">new<\/span> <span class=\"token function\">TreeNode<\/span><span class=\"token punctuation\">(<\/span>postorder<span class=\"token punctuation\">[<\/span>previ<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> rooti <span class=\"token operator\">&#061;<\/span> begini<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>rooti<span class=\"token operator\">&lt;&#061;<\/span>endi<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>postorder<span class=\"token punctuation\">[<\/span>previ<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> inorder<span class=\"token punctuation\">[<\/span>rooti<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>   <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            rooti<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token operator\">&#8212;<\/span>previ<span class=\"token punctuation\">;<\/span><br \/>\n          root<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">_build<\/span><span class=\"token punctuation\">(<\/span>postorder<span class=\"token punctuation\">,<\/span>inorder<span class=\"token punctuation\">,<\/span>previ<span class=\"token punctuation\">,<\/span>rooti<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span>endi<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        root<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">_build<\/span><span class=\"token punctuation\">(<\/span>postorder<span class=\"token punctuation\">,<\/span>inorder<span class=\"token punctuation\">,<\/span>previ<span class=\"token punctuation\">,<\/span>begini<span class=\"token punctuation\">,<\/span>rooti<span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> root<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    TreeNode<span class=\"token operator\">*<\/span> <span class=\"token function\">buildTree<\/span><span class=\"token punctuation\">(<\/span>vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> inorder<span class=\"token punctuation\">,<\/span> vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><span class=\"token operator\">&amp;<\/span> postorder<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> p <span class=\"token operator\">&#061;<\/span> postorder<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token function\">_build<\/span><span class=\"token punctuation\">(<\/span>postorder<span class=\"token punctuation\">,<\/span>inorder<span class=\"token punctuation\">,<\/span>p<span class=\"token punctuation\">,<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span>postorder<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u529b\u6263 144. \u4e8c\u53c9\u6811\u7684\u524d\u5e8f\u904d\u5386(\u81ea\u5df1\u8981\u6c42\u81ea\u5df1\u7528\u975e\u9012\u5f52\u7684\u5f62\u5f0f\u5b8c\u6210)<br \/>\n\u505a\u6cd5:\u8bbf\u95ee\u5de6\u8def\u7ed3\u70b9(\u6b64\u65f6\u5c31\u628a\u7ed3\u70b9\u7684\u503c\u641e\u5230vector\u91cc\u9762),\u5de6\u8def\u7ed3\u70b9\u5168\u5165\u6808&#xff0c;\u540e\u7eed\u4f9d\u6b21\u8bbf\u95ee\u5de6\u8def\u7ed3\u70b9\u7684\u53f3\u5b50\u6811<\/p>\n<p>\u529b\u6263   94. \u4e8c\u53c9\u6811\u7684\u4e2d\u5e8f\u904d\u5386(\u81ea\u5df1\u8981\u6c42\u81ea\u5df1\u7528\u975e\u9012\u5f52\u7684\u5f62\u5f0f\u5b8c\u6210)<br \/>\n\u505a\u6cd5:\u6539\u6210\u5728\u51fa\u6808\u7684\u65f6\u5019\u518d\u628a\u7ed3\u70b9\u5b58vector\u91cc\u5c31\u884c\u4e86<\/p>\n<p>\u4ee3\u7801\u5c55\u793a<span class=\"token operator\">:<\/span><br \/>\n\u4e2d\u5e8f\u904d\u5386<span class=\"token operator\">:<\/span><br \/>\n<span class=\"token comment\">\/**<br \/>\n * Definition for a binary tree node.<br \/>\n * struct TreeNode {<br \/>\n *     int val;<br \/>\n *     TreeNode *left;<br \/>\n *     TreeNode *right;<br \/>\n *     TreeNode() : val(0), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}<br \/>\n * };<br \/>\n *\/<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">inorderTraversal<\/span><span class=\"token punctuation\">(<\/span>TreeNode<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span>v<span class=\"token punctuation\">;<\/span>  stack<span class=\"token operator\">&lt;<\/span>TreeNode<span class=\"token operator\">*<\/span><span class=\"token operator\">&gt;<\/span> st<span class=\"token punctuation\">;<\/span><br \/>\n        TreeNode<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 operator\">||<\/span><span class=\"token operator\">!<\/span>st<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <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            st<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            cur <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           TreeNode<span class=\"token operator\">*<\/span>top <span class=\"token operator\">&#061;<\/span> st<span class=\"token punctuation\">.<\/span><span class=\"token function\">top<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>st<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>   v<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>top<span class=\"token operator\">-&gt;<\/span>val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n           cur <span class=\"token operator\">&#061;<\/span> top<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\">return<\/span> v<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u524d\u5e8f\u904d\u5386<span class=\"token operator\">:<\/span><br \/>\n<span class=\"token comment\">\/**<br \/>\n * Definition for a binary tree node.<br \/>\n * struct TreeNode {<br \/>\n *     int val;<br \/>\n *     TreeNode *left;<br \/>\n *     TreeNode *right;<br \/>\n *     TreeNode() : val(0), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}<br \/>\n * };<br \/>\n *\/<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">preorderTraversal<\/span><span class=\"token punctuation\">(<\/span>TreeNode<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span>v<span class=\"token punctuation\">;<\/span>  stack<span class=\"token operator\">&lt;<\/span>TreeNode<span class=\"token operator\">*<\/span><span class=\"token operator\">&gt;<\/span> st<span class=\"token punctuation\">;<\/span><br \/>\n        TreeNode<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 operator\">||<\/span><span class=\"token operator\">!<\/span>st<span class=\"token punctuation\">.<\/span><span class=\"token function\">empty<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <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            v<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">-&gt;<\/span>val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            st<span class=\"token punctuation\">.<\/span><span class=\"token function\">push<\/span><span class=\"token punctuation\">(<\/span>cur<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            cur <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           TreeNode<span class=\"token operator\">*<\/span>top <span class=\"token operator\">&#061;<\/span> st<span class=\"token punctuation\">.<\/span><span class=\"token function\">top<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>st<span class=\"token punctuation\">.<\/span><span class=\"token function\">pop<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n           cur <span class=\"token operator\">&#061;<\/span> top<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\">return<\/span> v<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u529b\u6263  <span class=\"token number\">145.<\/span> \u4e8c\u53c9\u6811\u7684\u540e\u5e8f\u904d\u5386<span class=\"token punctuation\">(<\/span>\u81ea\u5df1\u8981\u6c42\u81ea\u5df1\u7528\u975e\u9012\u5f52\u7684\u5f62\u5f0f\u5b8c\u6210<span class=\"token punctuation\">)<\/span><br \/>\n\u505a\u6cd5<span class=\"token operator\">:<\/span>\u52a0\u4e00\u4e2aprev\u6765\u8bb0\u5f55\u4e0a\u4e00\u4e2a\u5b58\u4e86\u7684\u7ed3\u70b9\u662f\u5565<br \/>\n    \u6539\u6210\u5728\u4e00\u4e2a\u7ed3\u70b9\u7684\u53f3\u5b50\u6811\u4e3a\u7a7a\u6216\u8005\u4e0a\u4e00\u4e2a\u8bbf\u95ee\u7ed3\u70b9\u662f\u53f3\u5b50\u6811\u7684\u6839\u65f6\u518d\u8bbf\u95ee\u8fd9\u4e2a\u7ed3\u70b9<\/p>\n<p>\u4e0b\u9762\u662f\u4e0e\u524d\u9762\u4e24\u9053\u9898\u76f8\u5dee\u6bd4\u8f83\u5927\u7684\u5730\u65b9<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250815232949-689fc2eda4d64.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u4ee3\u7801\u5c55\u793a<span class=\"token operator\">:<\/span><br \/>\n<span class=\"token comment\">\/**<br \/>\n * Definition for a binary tree node.<br \/>\n * struct TreeNode {<br \/>\n *     int val;<br \/>\n *     TreeNode *left;<br \/>\n *     TreeNode *right;<br \/>\n *     TreeNode() : val(0), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}<br \/>\n *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}<br \/>\n * };<br \/>\n *\/<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Solution<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token function\">postorderTraversal<\/span><span class=\"token punctuation\">(<\/span>TreeNode<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n         vector<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span>v<span class=\"token punctuation\">;<\/span>  stack<span class=\"token operator\">&lt;<\/span>TreeNode<span class=\"token operator\">*<\/span><span class=\"token operator\">&gt;<\/span> st<span class=\"token punctuation\">;<\/span><br \/>\n        TreeNode<span class=\"token operator\">*<\/span> cur <span class=\"token operator\">&#061;<\/span> root<span class=\"token punctuation\">;<\/span> TreeNode<span class=\"token operator\">*<\/span>prev <span class=\"token operator\">&#061;<\/span> <span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span><span class=\"token punctuation\">(<\/span>cur<span class=\"token operator\">||<\/span><span class=\"token operator\">!<\/span>st<span 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