{"id":25901,"date":"2023-04-23T14:56:56","date_gmt":"2023-04-23T06:56:56","guid":{"rendered":"https:\/\/docs.pingcode.com\/?p=25901"},"modified":"2023-07-31T01:28:01","modified_gmt":"2023-07-30T17:28:01","slug":"%e5%85%88%e6%a0%b9%e9%81%8d%e5%8e%86%e5%92%8c%e5%85%88%e5%ba%8f%e9%81%8d%e5%8e%86%e7%9a%84%e5%8c%ba%e5%88%ab","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/25901.html","title":{"rendered":"\u5148\u6839\u904d\u5386\u548c\u5148\u5e8f\u904d\u5386\u7684\u533a\u522b"},"content":{"rendered":"
\n

\u5148\u6839\u904d\u5386\u548c\u5148\u5e8f\u904d\u5386\u662f\u540c\u4e00\u4e2a\u6982\u5ff5\uff0c\u53ea\u662f\u53eb\u6cd5\u4e0d\u540c\uff0c\u4e5f\u53eb\u524d\u5e8f\u904d\u5386\uff0c\u662f\u4e00\u79cd\u8282\u70b9\u904d\u5386\u7b97\u6cd5\uff0c\u6307\u7684\u662f\u6309\u7167\u201c\u6839\u8282\u70b9->\u5de6\u5b50\u6811->\u53f3\u5b50\u6811\u201d\u7684\u987a\u5e8f\u904d\u5386\u6bcf\u4e2a\u8282\u70b9\uff0c\u53ef\u8bb0\u505a\u6839\u5de6\u53f3\uff0c\u4e00\u822c\u7528\u4e8e\u6811\u6216\u8005\u68ee\u6797\u4e2d\u3002<\/p>\n<\/blockquote>\n

\n
\"\"<\/figure>\n<\/div>\n

\u4e00\u3001\u5148\u6839\u904d\u5386\u548c\u5148\u5e8f\u904d\u5386<\/h2>\n

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\u603b\u7684\u6765\u8bf4\uff0c\u672f\u8bed\u7684\u4f7f\u7528\u662f\u4e00\u4e2a\u6bd4\u8f83\u7075\u6d3b\u7684\u95ee\u9898\uff0c\u4e0d\u540c\u7684\u5b66\u8005\u548c\u4f5c\u8005\u53ef\u80fd\u5b58\u5728\u4e0d\u540c\u7684\u7406\u89e3\u548c\u8868\u8ff0\u65b9\u5f0f\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5e94\u8be5\u5c3d\u53ef\u80fd\u5728\u4e0a\u4e0b\u6587\u4e2d\u660e\u786e\u548c\u4e00\u81f4\u5730\u4f7f\u7528\u672f\u8bed\uff0c\u4ee5\u907f\u514d\u4ea7\u751f\u6b67\u4e49\u548c\u8bef\u89e3\u3002<\/p>\n

\u4e8c\u3001\u4e8c\u53c9\u6811\u7684\u524d\u5e8f\u904d\u5386\u3001\u4e2d\u5e8f\u904d\u5386\u3001\u540e\u5e8f\u904d\u5386<\/h2>\n

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1\u3001\u524d\u5e8f\u904d\u5386<\/h3>\n

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\u9012\u5f52\u5b9e\u73b0\uff1a<\/strong><\/p>\n

void preOrder1(BinTree *root)     \/\/\u9012\u5f52\u524d\u5e8f\u904d\u5386\n{\n if(root!=NULL)\n {\n cout<<root->data<<\" \";\n preOrder1(root->lchild);\n preOrder1(root->rchild);\n }\n}<\/code><\/pre>\n
\u975e\u9012\u5f52\u5b9e\u73b0\uff1a<\/strong><\/p>\n
\u6839\u636e\u524d\u5e8f\u904d\u5386\u8bbf\u95ee\u7684\u987a\u5e8f\uff0c\u4f18\u5148\u8bbf\u95ee\u6839\u7ed3\u70b9\uff0c\u7136\u540e\u518d\u5206\u522b\u8bbf\u95ee\u5de6\u5b69\u5b50\u548c\u53f3\u5b69\u5b50\u3002\u5373\u5bf9\u4e8e\u4efb\u4e00\u7ed3\u70b9\uff0c\u5176\u53ef\u770b\u505a\u662f\u6839\u7ed3\u70b9\uff0c\u56e0\u6b64\u53ef\u4ee5\u76f4\u63a5\u8bbf\u95ee\uff0c\u8bbf\u95ee\u5b8c\u4e4b\u540e\uff0c\u82e5\u5176\u5de6\u5b69\u5b50\u4e0d\u4e3a\u7a7a\uff0c\u6309\u76f8\u540c\u89c4\u5219\u8bbf\u95ee\u5b83\u7684\u5de6\u5b50\u6811\uff1b\u5f53\u8bbf\u95ee\u5176\u5de6\u5b50\u6811\u65f6\uff0c\u518d\u8bbf\u95ee\u5b83\u7684\u53f3\u5b50\u6811\u3002\u56e0\u6b64\u5176\u5904\u7406\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/p>\n
\u5bf9\u4e8e\u4efb\u4e00\u7ed3\u70b9P\uff1a<\/p>\n
    \n
  • \u8bbf\u95ee\u7ed3\u70b9P\uff0c\u5e76\u5c06\u7ed3\u70b9P\u5165\u6808\uff1b<\/li>\n
  • \u5224\u65ad\u7ed3\u70b9P\u7684\u5de6\u5b69\u5b50\u662f\u5426\u4e3a\u7a7a\uff0c\u82e5\u4e3a\u7a7a\uff0c\u5219\u53d6\u6808\u9876\u7ed3\u70b9\u5e76\u8fdb\u884c\u51fa\u6808\u64cd\u4f5c\uff0c\u5e76\u5c06\u6808\u9876\u7ed3\u70b9\u7684\u53f3\u5b69\u5b50\u7f6e\u4e3a\u5f53\u524d\u7684\u7ed3\u70b9P\uff0c\u5faa\u73af\u81f31);\u82e5\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06P\u7684\u5de6\u5b69\u5b50\u7f6e\u4e3a\u5f53\u524d\u7684\u7ed3\u70b9P\uff1b<\/li>\n
  • \u76f4\u5230P\u4e3aNULL\u5e76\u4e14\u6808\u4e3a\u7a7a\uff0c\u5219\u904d\u5386\u7ed3\u675f\u3002<\/li>\n<\/ul>\n
    void preOrder2(BinTree *root)     \/\/\u975e\u9012\u5f52\u524d\u5e8f\u904d\u5386\n<\/em><\/em>{\n stack<BinTree*> s;\n BinTree *p=root;\n while(p!=NULL||!s.empty())\n {\n while(p!=NULL)\n {\n cout<<p->data<<\" \";\n s.push(p);\n p=p->lchild;\n }\n if(!s.empty())\n {\n p=s.\u8f83\u597d();\n s.pop();\n p=p->rchild;\n }\n }\n}<\/code><\/pre>\n
    2\u3001\u4e2d\u5e8f\u904d\u5386<\/h3>\n
    \u4e2d\u5e8f\u904d\u5386\u6309\u7167\u201c\u5de6\u5b69\u5b50-\u6839\u7ed3\u70b9-\u53f3\u5b69\u5b50\u201d\u7684\u987a\u5e8f\u8fdb\u884c\u8bbf\u95ee\u3002<\/p>\n
    \u9012\u5f52\u5b9e\u73b0\uff1a<\/strong><\/p>\n
    void inOrder1(BinTree *root)      \/\/\u9012\u5f52\u4e2d\u5e8f\u904d\u5386\n<\/em><\/em>{\n if(root!=NULL)\n {\n inOrder1(root->lchild);\n cout<<root->data<<\" \";\n inOrder1(root->rchild);\n }\n}<\/code><\/pre>\n
    \u975e\u9012\u5f52\u5b9e\u73b0\uff1a<\/strong><\/p>\n
    \u6839\u636e\u4e2d\u5e8f\u904d\u5386\u7684\u987a\u5e8f\uff0c\u5bf9\u4e8e\u4efb\u4e00\u7ed3\u70b9\uff0c\u4f18\u5148\u8bbf\u95ee\u5176\u5de6\u5b69\u5b50\uff0c\u800c\u5de6\u5b69\u5b50\u7ed3\u70b9\u53c8\u53ef\u4ee5\u770b\u505a\u4e00\u6839\u7ed3\u70b9\uff0c\u7136\u540e\u7ee7\u7eed\u8bbf\u95ee\u5176\u5de6\u5b69\u5b50\u7ed3\u70b9\uff0c\u76f4\u5230\u9047\u5230\u5de6\u5b69\u5b50\u7ed3\u70b9\u4e3a\u7a7a\u7684\u7ed3\u70b9\u624d\u8fdb\u884c\u8bbf\u95ee\uff0c\u7136\u540e\u6309\u76f8\u540c\u7684\u89c4\u5219\u8bbf\u95ee\u5176\u53f3\u5b50\u6811\u3002\u56e0\u6b64\u5176\u5904\u7406\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/p>\n
    \u5bf9\u4e8e\u4efb\u4e00\u7ed3\u70b9P\uff1a<\/p>\n
      \n
    • \u82e5\u5176\u5de6\u5b69\u5b50\u4e0d\u4e3a\u7a7a\uff0c\u5219\u5c06P\u5165\u6808\u5e76\u5c06P\u7684\u5de6\u5b69\u5b50\u7f6e\u4e3a\u5f53\u524d\u7684P\uff0c\u7136\u540e\u5bf9\u5f53\u524d\u7ed3\u70b9P\u518d\u8fdb\u884c\u76f8\u540c\u7684\u5904\u7406\uff1b<\/li>\n
    • \u82e5\u5176\u5de6\u5b69\u5b50\u4e3a\u7a7a\uff0c\u5219\u53d6\u6808\u9876\u5143\u7d20\u5e76\u8fdb\u884c\u51fa\u6808\u64cd\u4f5c\uff0c\u8bbf\u95ee\u8be5\u6808\u9876\u7ed3\u70b9\uff0c\u7136\u540e\u5c06\u5f53\u524d\u7684P\u7f6e\u4e3a\u6808\u9876\u7ed3\u70b9\u7684\u53f3\u5b69\u5b50\uff1b<\/li>\n
    • \u76f4\u5230P\u4e3aNULL\u5e76\u4e14\u6808\u4e3a\u7a7a\u5219\u904d\u5386\u7ed3\u675f\u3002<\/li>\n<\/ul>\n
      void inOrder2(BinTree *root)      \/\/\u975e\u9012\u5f52\u4e2d\u5e8f\u904d\u5386\n<\/em><\/em>{\n stack<BinTree*> s;\n BinTree *p=root;\n while(p!=NULL||!s.empty())\n {\n while(p!=NULL)\n {\n s.push(p);\n p=p->lchild;\n }\n if(!s.empty())\n {\n p=s.\u8f83\u597d();\n cout<<p->data<<\" \";\n s.pop();\n p=p->rchild;\n }\n }   \n}<\/code><\/pre>\n
      3\u3001\u540e\u5e8f\u904d\u5386<\/h3>\n
      \u540e\u5e8f\u904d\u5386\u6309\u7167\u201c\u5de6\u5b69\u5b50-\u53f3\u5b69\u5b50-\u6839\u7ed3\u70b9\u201d\u7684\u987a\u5e8f\u8fdb\u884c\u8bbf\u95ee\u3002<\/p>\n
      \u9012\u5f52\u5b9e\u73b0\uff1a<\/strong><\/p>\n
      void postOrder1(BinTree *root)    \/\/\u9012\u5f52\u540e\u5e8f\u904d\u5386\n<\/em><\/em>{\n if(root!=NULL)\n {\n postOrder1(root->lchild);\n postOrder1(root->rchild);\n cout<<root->data<<\" \";\n }   \n}<\/code><\/pre>\n
      \u975e\u9012\u5f52\u5b9e\u73b0\uff1a<\/strong><\/p>\n
      \u540e\u5e8f\u904d\u5386\u7684\u975e\u9012\u5f52\u5b9e\u73b0\u662f\u4e09\u79cd\u904d\u5386\u65b9\u5f0f\u4e2d\u6700\u96be\u7684\u4e00\u79cd\u3002\u56e0\u4e3a\u5728\u540e\u5e8f\u904d\u5386\u4e2d\uff0c\u8981\u4fdd\u8bc1\u5de6\u5b69\u5b50\u548c\u53f3\u5b69\u5b50\u90fd\u5df2\u88ab\u8bbf\u95ee\u5e76\u4e14\u5de6\u5b69\u5b50\u5728\u53f3\u5b69\u5b50\u524d\u8bbf\u95ee\u624d\u80fd\u8bbf\u95ee\u6839\u7ed3\u70b9\uff0c\u8fd9\u5c31\u4e3a\u6d41\u7a0b\u7684\u63a7\u5236\u5e26\u6765\u4e86\u96be\u9898\u3002\u4e0b\u9762\u4ecb\u7ecd\u4e24\u79cd\u601d\u8def\u3002<\/p>\n
        \n
      • \u540d\u5217\u524d\u8305\u79cd\u601d\u8def<\/strong>\uff1a\u5bf9\u4e8e\u4efb\u4e00\u7ed3\u70b9P\uff0c\u5c06\u5176\u5165\u6808\uff0c\u7136\u540e\u6cbf\u5176\u5de6\u5b50\u6811\u4e00\u76f4\u5f80\u4e0b\u641c\u7d22\uff0c\u76f4\u5230\u641c\u7d22\u5230\u6ca1\u6709\u5de6\u5b69\u5b50\u7684\u7ed3\u70b9\uff0c\u6b64\u65f6\u8be5\u7ed3\u70b9\u51fa\u73b0\u5728\u6808\u9876\uff0c\u4f46\u662f\u6b64\u65f6\u4e0d\u80fd\u5c06\u5176\u51fa\u6808\u5e76\u8bbf\u95ee\uff0c \u56e0\u6b64\u5176\u53f3\u5b69\u5b50\u8fd8\u4e3a\u88ab\u8bbf\u95ee\u3002\u6240\u4ee5\u63a5\u4e0b\u6765\u6309\u7167\u76f8\u540c\u7684\u89c4\u5219\u5bf9\u5176\u53f3\u5b50\u6811\u8fdb\u884c\u76f8\u540c\u7684\u5904\u7406\uff0c\u5f53\u8bbf\u95ee\u5b8c\u5176\u53f3\u5b69\u5b50\u65f6\uff0c\u8be5\u7ed3\u70b9\u53c8\u51fa\u73b0\u5728\u6808\u9876\uff0c\u6b64\u65f6\u53ef\u4ee5\u5c06\u5176\u51fa\u6808\u5e76\u8bbf\u95ee\u3002\u8fd9\u6837\u5c31 \u4fdd\u8bc1\u4e86\u6b63\u786e\u7684\u8bbf\u95ee\u987a\u5e8f\u3002\u53ef\u4ee5\u770b\u51fa\uff0c\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\uff0c\u6bcf\u4e2a\u7ed3\u70b9\u90fd\u4e24\u6b21\u51fa\u73b0\u5728\u6808\u9876\uff0c\u53ea\u6709\u5728\u7b2c\u4e8c\u6b21\u51fa\u73b0\u5728\u6808\u9876\u65f6\uff0c\u624d\u80fd\u8bbf\u95ee\u5b83\u3002\u56e0\u6b64\u9700\u8981\u591a\u8bbe\u7f6e\u4e00\u4e2a\u53d8\u91cf\u6807\u8bc6\u8be5\u7ed3\u70b9\u662f \u5426\u662f\u540d\u5217\u524d\u8305\u6b21\u51fa\u73b0\u5728\u6808\u9876\u3002<\/li>\n
      • \u7b2c\u4e8c\u79cd\u601d\u8def<\/strong>\uff1a\u8981\u4fdd\u8bc1\u6839\u7ed3\u70b9\u5728\u5de6\u5b69\u5b50\u548c\u53f3\u5b69\u5b50\u8bbf\u95ee\u4e4b\u540e\u624d\u80fd\u8bbf\u95ee\uff0c\u56e0\u6b64\u5bf9\u4e8e\u4efb\u4e00\u7ed3\u70b9P\uff0c\u5148\u5c06\u5176\u5165\u6808\u3002\u5982\u679cP\u4e0d\u5b58\u5728\u5de6\u5b69\u5b50\u548c\u53f3\u5b69\u5b50\uff0c\u5219\u53ef\u4ee5\u76f4\u63a5\u8bbf\u95ee\u5b83\uff1b\u6216\u8005P\u5b58 \u5728\u5de6\u5b69\u5b50\u6216\u8005\u53f3\u5b69\u5b50\uff0c\u4f46\u662f\u5176\u5de6\u5b69\u5b50\u548c\u53f3\u5b69\u5b50\u90fd\u5df2\u88ab\u8bbf\u95ee\u8fc7\u4e86\uff0c\u5219\u540c\u6837\u53ef\u4ee5\u76f4\u63a5\u8bbf\u95ee\u8be5\u7ed3\u70b9\u3002\u82e5\u975e\u4e0a\u8ff0\u4e24\u79cd\u60c5\u51b5\uff0c\u5219\u5c06P\u7684\u53f3\u5b69\u5b50\u548c\u5de6\u5b69\u5b50\u4f9d\u6b21\u5165\u6808\uff0c\u8fd9\u6837\u5c31\u4fdd\u8bc1\u4e86\u6bcf\u6b21\u53d6\u6808\u9876\u5143\u7d20\u7684\u65f6\u5019\uff0c\u5de6\u5b69\u5b50\u5728\u53f3\u5b69\u5b50\u524d\u9762\u88ab\u8bbf\u95ee\uff0c\u5de6\u5b69\u5b50\u548c\u53f3\u5b69\u5b50\u90fd\u5728\u6839\u7ed3\u70b9\u524d\u9762\u88ab\u8bbf\u95ee\u3002<\/li>\n<\/ul>\n
        \u5ef6\u4f38\u9605\u8bfb1\uff1a\u4e8c\u53c9\u6811\u662f\u4ec0\u4e48<\/em><\/strong><\/p>\n
        \u6811\uff08Tree\uff09\u662fn(n>=0)\u4e2a\u7ed3\u70b9\u7684\u6709\u9650\u96c6\u3002n=0\u65f6\u79f0\u4e3a\u7a7a\u6811\u3002\u5728\u4efb\u610f\u4e00\u9897\u975e\u7a7a\u6811\u4e2d\uff1a<\/p>\n
          \n
        • \u6709\u4e14\u4ec5\u6709\u4e00\u4e2a\u7279\u5b9a\u7684\u79f0\u4e3a\u6839\uff08Root\uff09\u7684\u7ed3\u70b9\uff1b<\/li>\n
        • \u5f53n>1\u65f6\uff0c\u5176\u4f59\u7ed3\u70b9\u53ef\u5206\u4e3am(m>0)\u4e2a\u4e92\u4e0d\u76f8\u4ea4\u7684\u6709\u9650\u96c6T1\u3001T2\u3001\u2026\u2026\u3001Tn\uff0c\u5176\u4e2d\u6bcf\u4e00\u4e2a\u96c6\u5408\u672c\u8eab\u53c8\u662f\u4e00\u68f5\u6811\uff0c\u5e76\u4e14\u79f0\u4e3a\u6839\u7684\u5b50\u6811\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"\u5148\u6839\u904d\u5386\u548c\u5148\u5e8f\u904d\u5386\u662f\u540c\u4e00\u4e2a\u6982\u5ff5\uff0c\u53ea\u662f\u53eb\u6cd5\u4e0d\u540c\uff0c\u4e5f\u53eb\u524d\u5e8f\u904d\u5386\uff0c\u662f\u4e00\u79cd\u8282\u70b9\u904d\u5386\u7b97\u6cd5\uff0c\u6307\u7684\u662f\u6309\u7167\u201c\u6839\u8282\u70b9->\u5de6 […]","protected":false},"author":1,"featured_media":25912,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[119],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/25901"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=25901"}],"version-history":[{"count":0,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/25901\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/25912"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=25901"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=25901"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=25901"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}