{"id":780,"date":"2023-06-29T14:08:26","date_gmt":"2023-04-28T14:06:09","guid":{"rendered":"https:\/\/www.silicloud.com\/zh\/blog\/index.php\/2023\/11\/30\/c-c-%e4%b8%ad%e4%ba%8c%e5%8f%89%e6%a0%91%e7%9a%84%e9%ab%98%e5%ba%a6%e6%98%af%e5%a4%9a%e5%b0%91%ef%bc%9f\/"},"modified":"2025-08-03T07:33:53","modified_gmt":"2025-08-02T23:33:53","slug":"c-c-%e4%b8%ad%e4%ba%8c%e5%8f%89%e6%a0%91%e7%9a%84%e9%ab%98%e5%ba%a6%e6%98%af%e5%a4%9a%e5%b0%91%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/zh\/blog\/c-c-%e4%b8%ad%e4%ba%8c%e5%8f%89%e6%a0%91%e7%9a%84%e9%ab%98%e5%ba%a6%e6%98%af%e5%a4%9a%e5%b0%91%ef%bc%9f\/","title":{"rendered":"\u8be6\u89e3C\/C++\u4e2d\u4e8c\u53c9\u6811\u9ad8\u5ea6\u7684\u7b97\u6cd5\u4e0e\u4ee3\u7801\u5b9e\u73b0"},"content":{"rendered":"<h2>\u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6\u5b9a\u4e49<\/h2>\n<p>\u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6\u88ab\u5b9a\u4e49\u4e3a\u4ece\u6839\u8282\u70b9\u5230\u4efb\u4f55\u53f6\u8282\u70b9\u7684\u6700\u957f\u8def\u5f84\u957f\u5ea6\uff0c\u5373\u4ece\u6839\u8282\u70b9\u5230\u4efb\u4f55\u53f6\u8282\u70b9\u7684\u6700\u5927\u6df1\u5ea6\u3002<\/p>\n<p>\u8ba9\u6211\u4eec\u8003\u8651\u4e0b\u9762\u7684\u4e8c\u53c9\u6811\u3002<\/p>\n<div><img decoding=\"async\" class=\"post-images\" title=\"\u4e8c\u53c9\u6811\u9ad8\u5ea6\u793a\u4f8b\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/6564859ca4b2f92e6c730b78\/2-0.png\" alt=\"\u4e8c\u53c9\u6811\u9ad8\u5ea6\" \/><\/div>\n<p>\u7531\u4e8e\u4e0e\u6700\u5927\u6df1\u5ea6\u5bf9\u5e94\u7684\u53f6\u5b50\u8282\u70b9\u662f40\u548c50\uff0c\u8981\u627e\u5230\u9ad8\u5ea6\uff0c\u6211\u4eec\u53ea\u9700\u627e\u5230\u4ece\u6839\u8282\u70b9\u5230\u8fd9\u4e24\u4e2a\u8282\u70b9\u4e2d\u7684\u4efb\u4f55\u4e00\u4e2a\u7684\u8fb9\u7684\u6570\u91cf\uff0c\u53733\u3002<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6\u4ee3\u8868\u4ec0\u4e48\uff0c\u6240\u4ee5\u6211\u4eec\u5c06\u6784\u5efa\u4e00\u4e2a\u7b97\u6cd5\u6765\u627e\u5230\u4efb\u610f\u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6\u3002<\/p>\n<h2>\u7528C++\u7f16\u5199\u7684\u4e8c\u53c9\u6811\u9ad8\u5ea6\u7684\u903b\u8f91<\/h2>\n<p>\u73b0\u5728\u8ba9\u6211\u4eec\u51b3\u5b9a\u5bfb\u627e\u9ad8\u5ea6\u7684\u903b\u8f91\uff0c\u5e76\u9996\u5148\u7f16\u5199\u4f2a\u4ee3\u7801\u3002<\/p>\n<p>\u6211\u4eec\u5c06\u4f7f\u7528\u6811\u7684\u9012\u5f52\u6765\u627e\u5230\u9ad8\u5ea6\u3002(\u8bf7\u53c2\u8003\u7ef4\u57fa\u767e\u79d1\u6587\u7ae0\u4e86\u89e3\u76f8\u5173\u6982\u5ff5)<\/p>\n<p>\u7531\u4e8e\u6811\u7684\u9ad8\u5ea6\u88ab\u5b9a\u4e49\u4e3a\u4ece\u6839\u5230\u53f6\u5b50\u7684\u6700\u957f\u8def\u5f84\uff0c\u6211\u4eec\u53ef\u4ee5\u9012\u5f52\u8ba1\u7b97\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u7684\u9ad8\u5ea6\u3002<\/p>\n<p>\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u5bf9\u5b50\u6811\u5e94\u7528\u9ad8\u5ea6\u7684\u5b9a\u4e49\u3002<\/p>\n<p>\u6211\u4eec\u89c2\u5bdf\u5230\u8fd9\u662f\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u4e4b\u95f4\u7684\u6700\u5927\u503c\u52a0\u4e00\u3002<\/p>\n<p>\u7531\u4e8e\u6811\u7684\u9ad8\u5ea6\u7b49\u4e8e\u5176\u5b50\u6811\u7684\u6700\u5927\u9ad8\u5ea6\u52a01\uff0c\u6211\u4eec\u4f1a\u4e00\u76f4\u91cd\u590d\u6b64\u8fc7\u7a0b\uff0c\u76f4\u5230\u5b50\u6811\u53d8\u4e3a\u7a7a\uff0c\u5e76\u4e14\u5176\u9ad8\u5ea6\u4e3a0\u3002<\/p>\n<p>\u6b64\u65f6\uff0c\u6211\u4eec\u7684\u529f\u80fd\u5c06\u6700\u7ec8\u7ec8\u6b62\u3002<\/p>\n<p>\u8ba9\u6211\u4eec\u7f16\u5199\u4e00\u4e2a\u540d\u4e3atree_height()\u7684\u51fd\u6570\u6765\u8ba1\u7b97\u6811\u7684\u9ad8\u5ea6\u3002<\/p>\n<pre class=\"post-pre\"><code><span class=\"token comment\">\/\/ \u67e5\u627e\u7531\u6839\u8282\u70b9\u5b9a\u4e49\u7684\u6811\u7684\u9ad8\u5ea6<\/span>\r\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>root <span class=\"token operator\">==<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span> \r\n        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token comment\">\/\/ \u67e5\u627e\u5de6\u3001\u53f3\u5b50\u6811\u7684\u9ad8\u5ea6<\/span>\r\n        left_height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-><\/span>left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        right_height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-><\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n         \r\n        <span class=\"token comment\">\/\/ \u67e5\u627emax(\u5b50\u6811\u9ad8\u5ea6) + 1\u6765\u83b7\u53d6\u6811\u7684\u9ad8\u5ea6<\/span>\r\n        <span class=\"token keyword\">return<\/span> <span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>left_height<span class=\"token punctuation\">,<\/span> right_height<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<p>\u7b2c3\u884c\u8bc4\u4f30\u7ec8\u6b62\u6761\u4ef6\uff0c\u5373\u5f53\u5b50\u6811\u5927\u5c0f\u4e3a0\u6216\u6839\u8282\u70b9\u4e3a\u7a7a\u65f6\u3002<\/p>\n<p>\u7b2c7\u884c\u548c\u7b2c8\u884c\u9012\u5f52\u5730\u627e\u51fa\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u7684\u9ad8\u5ea6\u3002<\/p>\n<p>\u6700\u7ec8\uff0c\u7b2c11\u884c\u8fd4\u56de\u4e24\u8005\u4e2d\u8f83\u5927\u7684\u503c\uff0c\u5373\u8fd4\u56de\u6811\u7684\u9ad8\u5ea6\u3002<\/p>\n<h2>\u5728C\/C++\u4e2d\u7684\u5b9e\u73b0<\/h2>\n<p>\u4ee5\u4e0b\u662f\u4e00\u4e2a\u5b8c\u6574\u7684\u7a0b\u5e8f\uff0c\u5c55\u793a\u4e86\u5982\u4f55\u6784\u5efa\u4e8c\u53c9\u6811\uff0c\u5e76\u5c55\u793a\u4e86\u5728tree_height()\u51fd\u6570\u4e2d\u67e5\u627e\u6811\u9ad8\u7684\u903b\u8f91\u3002<\/p>\n<pre class=\"post-pre\"><code><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;stdio.h&gt;<\/span><\/span>\r\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;stdlib.h&gt;<\/span><\/span>\r\n\r\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Node<\/span> Node<span class=\"token punctuation\">;<\/span>\r\n\r\n<span class=\"token comment\">\/\/ \u5728\u6b64\u5b9a\u4e49\u6811\u8282\u70b9<\/span>\r\n<span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Node<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token keyword\">int<\/span> value<span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token comment\">\/\/ \u6307\u5411\u5de6\u53f3\u5b50\u8282\u70b9\u7684\u6307\u9488<\/span>\r\n    Node<span class=\"token operator\">*<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">*<\/span>right<span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n\r\nNode<span class=\"token operator\">*<\/span> <span class=\"token function\">init_tree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> data<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ \u521b\u5efa\u6811\u5e76\u8fd4\u56de\u6839\u8282\u70b9<\/span>\r\n    Node<span class=\"token operator\">*<\/span> root <span class=\"token operator\">=<\/span> <span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token function\">malloc<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">=<\/span> root<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">=<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>value <span class=\"token operator\">=<\/span> data<span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">return<\/span> root<span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n\r\nNode<span class=\"token operator\">*<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> data<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ \u521b\u5efa\u4e00\u4e2a\u65b0\u8282\u70b9<\/span>\r\n    Node<span class=\"token operator\">*<\/span> node <span class=\"token operator\">=<\/span> <span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token function\">malloc<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    node<span class=\"token operator\">-&gt;<\/span>value <span class=\"token operator\">=<\/span> data<span class=\"token punctuation\">;<\/span>\r\n    node<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">=<\/span> node<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">=<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">return<\/span> node<span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n\r\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">free_tree<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ \u91ca\u653e\u6811\u4e2d\u6bcf\u4e2a\u8282\u70b9\u5bf9\u5e94\u7684\u5185\u5b58<\/span>\r\n    Node<span class=\"token operator\">*<\/span> temp <span class=\"token operator\">=<\/span> root<span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>temp<span class=\"token punctuation\">)<\/span>\r\n        <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token function\">free_tree<\/span><span class=\"token punctuation\">(<\/span>temp<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token function\">free_tree<\/span><span class=\"token punctuation\">(<\/span>temp<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>temp<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">!<\/span>temp<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>temp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n\r\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ \u83b7\u53d6\u6811\u7684\u9ad8\u5ea6<\/span>\r\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>root<span class=\"token punctuation\">)<\/span>\r\n        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token comment\">\/\/ \u627e\u51fa\u4e24\u4e2a\u5b50\u6811\u7684\u9ad8\u5ea6\u5e76\u4f7f\u7528\u8f83\u5927\u7684\u90a3\u4e2a<\/span>\r\n        <span class=\"token keyword\">int<\/span> left_height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">int<\/span> right_height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left_height <span class=\"token operator\">&gt;=<\/span> right_height<span class=\"token punctuation\">)<\/span>\r\n            <span class=\"token keyword\">return<\/span> left_height <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">else<\/span>\r\n            <span class=\"token keyword\">return<\/span> right_height <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n\r\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ \u6f14\u793a\u5982\u4f55\u67e5\u627e\u4e8c\u53c9\u6811\u9ad8\u5ea6\u7684\u7a0b\u5e8f<\/span>\r\n\r\n    <span class=\"token comment\">\/\/ \u521b\u5efa\u503c\u4e3a10\u7684\u6839\u8282\u70b9<\/span>\r\n    Node<span class=\"token operator\">*<\/span> root <span class=\"token operator\">=<\/span> <span class=\"token function\">init_tree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    \r\n    <span class=\"token comment\">\/\/ \u5411\u6811\u63d2\u5165\u8282\u70b9<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">=<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">20<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">=<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">30<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">=<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">40<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">=<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">50<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n    <span class=\"token comment\">\/\/ \u67e5\u627e\u6811\u7684\u9ad8\u5ea6<\/span>\r\n    <span class=\"token keyword\">int<\/span> height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"\u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6: %d\\n\"<\/span><span class=\"token punctuation\">,<\/span> height<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n    <span class=\"token comment\">\/\/ \u91ca\u653e\u6811\u7684\u5185\u5b58\uff01<\/span>\r\n    <span class=\"token function\">free_tree<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6\u5b9a\u4e49 \u4e8c\u53c9\u6811\u7684\u9ad8\u5ea6\u88ab\u5b9a\u4e49\u4e3a\u4ece\u6839\u8282\u70b9\u5230\u4efb\u4f55\u53f6\u8282\u70b9\u7684\u6700\u957f\u8def\u5f84\u957f\u5ea6\uff0c\u5373\u4ece\u6839\u8282\u70b9\u5230\u4efb\u4f55\u53f6\u8282\u70b9\u7684\u6700\u5927\u6df1\u5ea6\u3002  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