{"id":37366,"date":"2025-05-15T22:28:01","date_gmt":"2025-05-15T14:28:01","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/37366.html"},"modified":"2025-05-15T22:28:01","modified_gmt":"2025-05-15T14:28:01","slug":"%e6%8e%a2%e7%b4%a2c%e8%af%ad%e8%a8%80%e4%b8%ad%e7%9a%84%e4%ba%8c%e5%8f%89%e6%a0%91%ef%bc%9a%e5%8e%9f%e7%90%86%e3%80%81%e5%ae%9e%e7%8e%b0%e4%b8%8e%e5%ba%94%e7%94%a8","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/37366.html","title":{"rendered":"\u63a2\u7d22C\u8bed\u8a00\u4e2d\u7684\u4e8c\u53c9\u6811\uff1a\u539f\u7406\u3001\u5b9e\u73b0\u4e0e\u5e94\u7528"},"content":{"rendered":"<p>\u4e00\u3001\u5f15\u8a00<\/p>\n<p>\u4e8c\u53c9\u6811\u4f5c\u4e3a\u4e00\u79cd\u91cd\u8981\u7684\u6570\u636e\u7ed3\u6784&#xff0c;\u5728\u8ba1\u7b97\u673a\u79d1\u5b66\u9886\u57df\u6709\u7740\u5e7f\u6cdb\u7684\u5e94\u7528&#xff0c;\u65e0\u8bba\u662f\u5728\u64cd\u4f5c\u7cfb\u7edf\u7684\u6587\u4ef6\u7cfb\u7edf\u7ba1\u7406&#xff0c;\u8fd8\u662f\u5728\u6570\u636e\u5e93\u7684\u7d22\u5f15\u6784\u5efa\u4e2d&#xff0c;\u90fd\u80fd\u770b\u5230\u5b83\u7684\u8eab\u5f71\u3002\u5728C\u8bed\u8a00\u4e2d&#xff0c;\u6211\u4eec\u53ef\u4ee5\u5229\u7528\u6307\u9488\u7075\u6d3b\u5730\u6784\u5efa\u548c\u64cd\u4f5c\u4e8c\u53c9\u6811\u3002\u63a5\u4e0b\u6765&#xff0c;\u5c31\u8ba9\u6211\u4eec\u6df1\u5165\u4e86\u89e3\u4e8c\u53c9\u6811\u5728C\u8bed\u8a00\u4e2d\u7684\u5b9e\u73b0\u4e0e\u76f8\u5173\u64cd\u4f5c\u3002<\/p>\n<p>\u00a0<\/p>\n<p>\u4e8c\u3001\u4e8c\u53c9\u6811\u7684\u57fa\u672c\u6982\u5ff5<\/p>\n<p>\u00a0<\/p>\n<p>\u4e8c\u53c9\u6811\u662f\u4e00\u79cd\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u6709\u4e24\u4e2a\u5b50\u8282\u70b9\u7684\u6811\u7ed3\u6784&#xff0c;\u8fd9\u4e24\u4e2a\u5b50\u8282\u70b9\u5206\u522b\u79f0\u4e3a\u5de6\u5b50\u8282\u70b9\u548c\u53f3\u5b50\u8282\u70b9\u3002\u4e8c\u53c9\u6811\u5177\u6709\u9012\u5f52\u6027\u8d28&#xff0c;\u5373\u5b83\u7684\u5b50\u6811\u4e5f\u90fd\u662f\u4e8c\u53c9\u6811\u3002\u5e38\u89c1\u7684\u7279\u6b8a\u4e8c\u53c9\u6811\u5305\u62ec\u6ee1\u4e8c\u53c9\u6811&#xff08;\u6bcf\u4e2a\u8282\u70b9\u8981\u4e48\u6709\u4e24\u4e2a\u5b50\u8282\u70b9&#xff0c;\u8981\u4e48\u6ca1\u6709\u5b50\u8282\u70b9&#xff09;\u548c\u5b8c\u5168\u4e8c\u53c9\u6811&#xff08;\u9664\u6700\u540e\u4e00\u5c42\u5916&#xff0c;\u6bcf\u4e00\u5c42\u4e0a\u7684\u8282\u70b9\u6570\u5747\u8fbe\u5230\u6700\u5927\u503c&#xff0c;\u5728\u6700\u540e\u4e00\u5c42\u4e0a\u53ea\u7f3a\u5c11\u53f3\u8fb9\u7684\u82e5\u5e72\u8282\u70b9&#xff09;\u3002<\/p>\n<p>\u00a0<\/p>\n<p>\u4e09\u3001C\u8bed\u8a00\u4e2d\u4e8c\u53c9\u6811\u7684\u5b9a\u4e49<\/p>\n<p>\u00a0<\/p>\n<p>\u5728C\u8bed\u8a00\u4e2d&#xff0c;\u6211\u4eec\u901a\u8fc7\u7ed3\u6784\u4f53\u6765\u5b9a\u4e49\u4e8c\u53c9\u6811\u7684\u8282\u70b9&#xff0c;\u4ee3\u7801\u5982\u4e0b&#xff1a;<\/p>\n<p>\u00a0<\/p>\n<p>\/\/ \u5b9a\u4e49\u4e8c\u53c9\u6811\u8282\u70b9\u7ed3\u6784\u4f53<\/p>\n<p>typedef struct TreeNode {<\/p>\n<p>\u00a0 \u00a0 int data;<\/p>\n<p>\u00a0 \u00a0 struct TreeNode *left;<\/p>\n<p>\u00a0 \u00a0 struct TreeNode *right;<\/p>\n<p>} TreeNode;<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u5728\u8fd9\u4e2a\u7ed3\u6784\u4f53\u4e2d&#xff0c;\u00a0data\u00a0 \u7528\u4e8e\u5b58\u50a8\u8282\u70b9\u7684\u6570\u636e&#xff0c;\u00a0left\u00a0 \u548c \u00a0right\u00a0 \u662f\u4e24\u4e2a\u6307\u9488&#xff0c;\u5206\u522b\u6307\u5411\u8be5\u8282\u70b9\u7684\u5de6\u5b50\u8282\u70b9\u548c\u53f3\u5b50\u8282\u70b9\u3002<\/p>\n<p>\u00a0<\/p>\n<p>\u56db\u3001\u4e8c\u53c9\u6811\u7684\u57fa\u672c\u64cd\u4f5c<\/p>\n<p>\u00a0<\/p>\n<p>&#xff08;\u4e00&#xff09;\u521b\u5efa\u4e8c\u53c9\u6811\u8282\u70b9<\/p>\n<p>\u00a0<\/p>\n<p>\/\/ \u521b\u5efa\u4e8c\u53c9\u6811\u8282\u70b9<\/p>\n<p>TreeNode* createTreeNode(int value) {<\/p>\n<p>\u00a0 \u00a0 TreeNode* newNode &#061; (TreeNode*)malloc(sizeof(TreeNode));<\/p>\n<p>\u00a0 \u00a0 if (newNode &#061;&#061; NULL) {<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 \/\/ \u5185\u5b58\u5206\u914d\u5931\u8d25\u5904\u7406<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 return NULL;<\/p>\n<p>\u00a0 \u00a0 }<\/p>\n<p>\u00a0 \u00a0 newNode-&gt;data &#061; value;<\/p>\n<p>\u00a0 \u00a0 newNode-&gt;left &#061; NULL;<\/p>\n<p>\u00a0 \u00a0 newNode-&gt;right &#061; NULL;<\/p>\n<p>\u00a0 \u00a0 return newNode;<\/p>\n<p>}<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u4e0a\u8ff0\u4ee3\u7801\u901a\u8fc7 \u00a0malloc\u00a0 \u51fd\u6570\u4e3a\u65b0\u8282\u70b9\u5206\u914d\u5185\u5b58&#xff0c;\u5e76\u521d\u59cb\u5316\u8282\u70b9\u7684\u6570\u636e\u548c\u5de6\u53f3\u5b50\u8282\u70b9\u6307\u9488\u3002<\/p>\n<p>\u00a0<\/p>\n<p>&#xff08;\u4e8c&#xff09;\u4e8c\u53c9\u6811\u7684\u904d\u5386<\/p>\n<p>\u00a0<\/p>\n<p>1.\u00a0\u524d\u5e8f\u904d\u5386&#xff1a;\u5148\u8bbf\u95ee\u6839\u8282\u70b9&#xff0c;\u518d\u9012\u5f52\u5730\u8bbf\u95ee\u5de6\u5b50\u6811&#xff0c;\u6700\u540e\u9012\u5f52\u5730\u8bbf\u95ee\u53f3\u5b50\u6811\u3002<\/p>\n<p>\u00a0<\/p>\n<p>\/\/ \u524d\u5e8f\u904d\u5386\u4e8c\u53c9\u6811<\/p>\n<p>void preOrderTraversal(TreeNode* root) {<\/p>\n<p>\u00a0 \u00a0 if (root !&#061; NULL) {<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 printf(&#034;%d &#034;, root-&gt;data);<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 preOrderTraversal(root-&gt;left);<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 preOrderTraversal(root-&gt;right);<\/p>\n<p>\u00a0 \u00a0 }<\/p>\n<p>}<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>2.\u00a0\u4e2d\u5e8f\u904d\u5386&#xff1a;\u5148\u9012\u5f52\u5730\u8bbf\u95ee\u5de6\u5b50\u6811&#xff0c;\u518d\u8bbf\u95ee\u6839\u8282\u70b9&#xff0c;\u6700\u540e\u9012\u5f52\u5730\u8bbf\u95ee\u53f3\u5b50\u6811\u3002<\/p>\n<p>\u00a0<\/p>\n<p>\/\/ \u4e2d\u5e8f\u904d\u5386\u4e8c\u53c9\u6811<\/p>\n<p>void inOrderTraversal(TreeNode* root) {<\/p>\n<p>\u00a0 \u00a0 if (root !&#061; NULL) {<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 inOrderTraversal(root-&gt;left);<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 printf(&#034;%d &#034;, root-&gt;data);<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 inOrderTraversal(root-&gt;right);<\/p>\n<p>\u00a0 \u00a0 }<\/p>\n<p>}<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>3.\u00a0\u540e\u5e8f\u904d\u5386&#xff1a;\u5148\u9012\u5f52\u5730\u8bbf\u95ee\u5de6\u5b50\u6811&#xff0c;\u518d\u9012\u5f52\u5730\u8bbf\u95ee\u53f3\u5b50\u6811&#xff0c;\u6700\u540e\u8bbf\u95ee\u6839\u8282\u70b9\u3002<\/p>\n<p>\u00a0<\/p>\n<p>\/\/ \u540e\u5e8f\u904d\u5386\u4e8c\u53c9\u6811<\/p>\n<p>void postOrderTraversal(TreeNode* root) {<\/p>\n<p>\u00a0 \u00a0 if (root !&#061; NULL) {<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 postOrderTraversal(root-&gt;left);<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 postOrderTraversal(root-&gt;right);<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 printf(&#034;%d &#034;, root-&gt;data);<\/p>\n<p>\u00a0 \u00a0 }<\/p>\n<p>}<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>&#xff08;\u4e09&#xff09;\u63d2\u5165\u8282\u70b9&#xff08;\u4ee5\u6784\u5efa\u4e8c\u53c9\u641c\u7d22\u6811\u4e3a\u4f8b&#xff09;<\/p>\n<p>\u00a0<\/p>\n<p>\u4e8c\u53c9\u641c\u7d22\u6811\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u4e8c\u53c9\u6811&#xff0c;\u5bf9\u4e8e\u6811\u4e2d\u7684\u6bcf\u4e2a\u8282\u70b9&#xff0c;\u5176\u5de6\u5b50\u6811\u4e2d\u6240\u6709\u8282\u70b9\u7684\u503c\u90fd\u5c0f\u4e8e\u8be5\u8282\u70b9\u7684\u503c&#xff0c;\u53f3\u5b50\u6811\u4e2d\u6240\u6709\u8282\u70b9\u7684\u503c\u90fd\u5927\u4e8e\u8be5\u8282\u70b9\u7684\u503c\u3002<\/p>\n<p>\u00a0<\/p>\n<p>\/\/ \u5411\u4e8c\u53c9\u641c\u7d22\u6811\u63d2\u5165\u8282\u70b9<\/p>\n<p>TreeNode* insert(TreeNode* root, int value) {<\/p>\n<p>\u00a0 \u00a0 if (root &#061;&#061; NULL) {<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 return createTreeNode(value);<\/p>\n<p>\u00a0 \u00a0 }<\/p>\n<p>\u00a0 \u00a0 if (value &lt; root-&gt;data) {<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 root-&gt;left &#061; insert(root-&gt;left, value);<\/p>\n<p>\u00a0 \u00a0 } else if (value &gt; root-&gt;data) {<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 root-&gt;right &#061; insert(root-&gt;right, value);<\/p>\n<p>\u00a0 \u00a0 }<\/p>\n<p>\u00a0 \u00a0 return root;<\/p>\n<p>}<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u4e94\u3001\u4e8c\u53c9\u6811\u7684\u5e94\u7528\u5b9e\u4f8b<\/p>\n<p>\u00a0<\/p>\n<p>&#xff08;\u4e00&#xff09;\u8868\u8fbe\u5f0f\u6811<\/p>\n<p>\u00a0<\/p>\n<p>\u5728\u7f16\u8bd1\u5668\u4e2d&#xff0c;\u8868\u8fbe\u5f0f\u6811\u7528\u4e8e\u8868\u793a\u7b97\u672f\u8868\u8fbe\u5f0f\u3002\u4f8b\u5982&#xff0c;\u5bf9\u4e8e\u8868\u8fbe\u5f0f \u00a0(3 &#043; 4) * 2\u00a0 &#xff0c;\u53ef\u4ee5\u6784\u5efa\u4e00\u68f5\u4e8c\u53c9\u6811&#xff0c;\u6839\u8282\u70b9\u4e3a \u00a0*\u00a0 &#xff0c;\u5de6\u5b50\u6811\u8868\u793a \u00a0(3 &#043; 4)\u00a0 &#xff0c;\u53f3\u5b50\u6811\u8868\u793a \u00a02\u00a0 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