{"id":26971,"date":"2023-04-27T17:59:48","date_gmt":"2023-04-27T09:59:48","guid":{"rendered":"https:\/\/docs.pingcode.com\/?p=26971"},"modified":"2023-07-31T01:32:37","modified_gmt":"2023-07-30T17:32:37","slug":"%e5%ae%8c%e5%85%a8%e4%ba%8c%e5%8f%89%e6%a0%91%e4%b8%ba%e4%bb%80%e4%b9%88%e6%9c%80%e9%80%82%e5%90%88%e9%a1%ba%e5%ba%8f%e5%ad%98%e5%82%a8%e7%bb%93%e6%9e%84","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/26971.html","title":{"rendered":"\u5b8c\u5168\u4e8c\u53c9\u6811\u4e3a\u4ec0\u4e48\u975e\u5e38\u9002\u5408\u987a\u5e8f\u5b58\u50a8\u7ed3\u6784"},"content":{"rendered":"
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#include <iostream>\n#include <queue>\n \nusing namespace std;\n \ntemplate <class T>\nstruct TreeNode\n{\n    T data;\n    TreeNode<T> *left;\n    TreeNode<T> *right;\n    TreeNode(const T &x) : data(x),\n                           left(NULL),\n                           right(NULL) {}\n};\ntemplate <class T>\nbool IsComplete(TreeNode<T> *root)\n{\n    \/\/1.\u6811\u4e3a\u7a7a\uff0c\u8fd4\u56de\u9519\u8bef\n    if (root == NULL)\n    {\n        return false;\n    }\n    \/\/2.\u6811\u4e0d\u4e3a\u7a7a\n    queue<TreeNode<T> *> q;\n    q.push(root);\n    while (!q.empty())\n    {\n        TreeNode<T> *\u8f83\u597d = q.front();\n        \/\/2.1\u5982\u679c\u8be5\u8282\u70b9\u4e24\u4e2a\u5b69\u5b50\u90fd\u6709\uff0c\u5219\u76f4\u63a5pop\n        if (\u8f83\u597d->left && \u8f83\u597d->right)\n        {\n            q.pop();\n            q.push(\u8f83\u597d->left);\n            q.push(\u8f83\u597d->right);\n        }\n        \/\/2.2\u5982\u679c\u8be5\u8282\u70b9\u5de6\u5b69\u5b50\u4e3a\u7a7a\uff0c\u53f3\u5b69\u5b50\u4e0d\u4e3a\u7a7a\uff0c\u5219\u4e00\u5b9a\u4e0d\u662f\u5b8c\u5168\u4e8c\u53c9\u6811\n        if (\u8f83\u597d->left == NULL && \u8f83\u597d->right)\n        {\n            return false;\n        }\n        \/\/2.3\u5982\u679c\u8be5\u8282\u70b9\u5de6\u5b69\u5b50\u4e0d\u4e3a\u7a7a\uff0c\u53f3\u5b69\u5b50\u4e3a\u7a7a\u6216\u8005\u8be5\u8282\u70b9\u4e3a\u53f6\u5b50\u8282\u70b9\uff0c\u5219\u8be5\u8282\u70b9\u4e4b\u540e\u7684\u6240\u6709\u7ed3\u70b9\u90fd\u662f\u53f6\u5b50\u8282\u70b9\n        if ((\u8f83\u597d->left && \u8f83\u597d->right == NULL) || (\u8f83\u597d->left == NULL && \u8f83\u597d->right == NULL))\n        {\n                        if (NULL != \u8f83\u597d->left && NULL == \u8f83\u597d->right) \n                        {\n                            q.push(\u8f83\u597d->left);    \n                        }\n            q.pop(); \/\/\u5219\u8be5\u8282\u70b9\u4e4b\u540e\u7684\u6240\u6709\u7ed3\u70b9\u90fd\u662f\u53f6\u5b50\u8282\u70b9\n            while (!q.empty())\n            {\n                \u8f83\u597d = q.front();\n                if (\u8f83\u597d->left == NULL && \u8f83\u597d->right == NULL)\n                {\n                    q.pop();\n                }\n                else\n                {\n                    return false;\n                }\n            }\n            return true;\n        }\n    }\n    return true;\n}\n \n\/\/\u6ee1\u4e8c\u53c9\u6811\nvoid test1()\n{\n    \/\/       1\n    \/\/   2       3\n    \/\/ 4    5  6   7\n    TreeNode<int> *node1 = new TreeNode<int>(1);\n    TreeNode<int> *node2 = new TreeNode<int>(2);\n    TreeNode<int> *node3 = new TreeNode<int>(3);\n    TreeNode<int> *node4 = new TreeNode<int>(4);\n    TreeNode<int> *node5 = new TreeNode<int>(5);\n    TreeNode<int> *node6 = new TreeNode<int>(6);\n    TreeNode<int> *node7 = new TreeNode<int>(7);\n    node1->left = node2;\n    node1->right = node3;\n    node2->left = node4;\n    node2->right = node5;\n    node3->left = node6;\n    node3->right = node7;\n    cout << IsComplete<int>(node1) << endl;\n}\n \n\/\/\u4e8c\u53c9\u6811\u4e3a\u7a7a\nvoid test2()\n{\n    cout << IsComplete<int>(NULL) << endl;\n}\n \n\/\/3.\u4e8c\u53c9\u6811\u4e0d\u4e3a\u7a7a\uff0c\u4e5f\u4e0d\u662f\u6ee1\u4e8c\u53c9\u6811\uff0c\u9047\u5230\u4e00\u4e2a\u7ed3\u70b9\u5de6\u5b69\u5b50\u4e3a\u7a7a\uff0c\u53f3\u5b69\u5b50\u4e0d\u4e3a\u7a7a\nvoid test3()\n{\n    \/\/       1\n    \/\/   2       3\n    \/\/ 4    5      7\n    TreeNode<int> *node1 = new TreeNode<int>(1);\n    TreeNode<int> *node2 = new TreeNode<int>(2);\n    TreeNode<int> *node3 = new TreeNode<int>(3);\n    TreeNode<int> *node4 = new TreeNode<int>(4);\n    TreeNode<int> *node5 = new TreeNode<int>(5);\n    TreeNode<int> *node7 = new TreeNode<int>(7);\n    node1->left = node2;\n    node1->right = node3;\n    node2->left = node4;\n    node2->right = node5;\n    node3->right = node7;\n    cout << IsComplete<int>(node1) << endl;\n}\n \n\/\/4.\u4e8c\u53c9\u6811\u4e0d\u4e3a\u7a7a\uff0c\u4e5f\u4e0d\u662f\u6ee1\u4e8c\u53c9\u6811\uff0c\u9047\u5230\u53f6\u5b50\u8282\u70b9,\u5219\u8be5\u53f6\u5b50\u8282\u70b9\u4e4b\u540e\u7684\u6240\u6709\u7ed3\u70b9\u90fd\u4e3a\u53f6\u5b50\u8282\u70b9\nvoid test4()\n{\n    \/\/        1\n    \/\/    2       3\n    \/\/ 4    5\n    TreeNode<int> *node1 = new TreeNode<int>(1);\n    TreeNode<int> *node2 = new TreeNode<int>(2);\n    TreeNode<int> *node3 = new TreeNode<int>(3);\n    TreeNode<int> *node4 = new TreeNode<int>(4);\n    TreeNode<int> *node5 = new TreeNode<int>(5);\n    node1->left = node2;\n    node1->right = node3;\n    node2->left = node4;\n    node2->right = node5;\n    cout << IsComplete<int>(node1) << endl;\n}\n \n\/\/4.\u4e8c\u53c9\u6811\u4e0d\u4e3a\u7a7a\uff0c\u4e5f\u4e0d\u662f\u6ee1\u4e8c\u53c9\u6811\uff0c\u9047\u5230\u5de6\u5b69\u5b50\u4e0d\u4e3a\u7a7a\uff0c\u53f3\u5b69\u5b50\u4e3a\u7a7a\u7684\u7ed3\u70b9\uff0c\u5219\u8be5\u8282\u70b9\u4e4b\u540e\u7684\u6240\u6709\u7ed3\u70b9\u90fd\u4e3a\u53f6\u5b50\u8282\u70b9\nvoid test5()\n{\n    \/\/        1\n    \/\/    2       3\n    \/\/ 4    5   6\n    TreeNode<int> *node1 = new TreeNode<int>(1);\n    TreeNode<int> *node2 = new TreeNode<int>(2);\n    TreeNode<int> *node3 = new TreeNode<int>(3);\n    TreeNode<int> *node4 = new TreeNode<int>(4);\n    TreeNode<int> *node5 = new TreeNode<int>(5);\n    TreeNode<int> *node6 = new TreeNode<int>(6);\n    node1->left = node2;\n    node1->right = node3;\n    node2->left = node4;\n    node2->right = node5;\n    node3->left = node6;\n    cout << IsComplete<int>(node1) << endl;\n}\n \nint main()\n{\n    test1();\n    \/*test2();*\/\n    \/*test3();*\/\n    \/*test4();*\/\n    \/*test5();*\/\n    return 0;\n}<\/code><\/pre>\n
\u4e09\u3001\u4e8c\u53c9\u6811\u7b80\u4ecb<\/h2>\n
\u4e8c\u53c9\u6811\uff08Binary tree\uff09\u662f\u6811\u5f62\u7ed3\u6784\u7684\u4e00\u4e2a\u91cd\u8981\u7c7b\u578b\u3002\u8bb8\u591a\u5b9e\u9645\u95ee\u9898\u62bd\u8c61\u51fa\u6765\u7684\u6570\u636e\u7ed3\u6784\u5f80\u5f80\u662f\u4e8c\u53c9\u6811\u5f62\u5f0f\uff0c\u5373\u4f7f\u662f\u4e00\u822c\u7684\u6811\u4e5f\u80fd\u7b80\u5355\u5730\u8f6c\u6362\u4e3a\u4e8c\u53c9\u6811\uff0c\u800c\u4e14\u4e8c\u53c9\u6811\u7684\u5b58\u50a8\u7ed3\u6784\u53ca\u5176\u7b97\u6cd5\u90fd\u8f83\u4e3a\u7b80\u5355\uff0c\u56e0\u6b64\u4e8c\u53c9\u6811\u663e\u5f97\u7279\u522b\u91cd\u8981\u3002\u4e8c\u53c9\u6811\u7279\u70b9\u662f\u6bcf\u4e2a\u8282\u70b9\u975e\u5e38\u591a\u53ea\u80fd\u6709\u4e24\u68f5\u5b50\u6811\uff0c\u4e14\u6709\u5de6\u53f3\u4e4b\u5206\u3002<\/p>\n
\u4e8c\u53c9\u6811\u662fn\u4e2a\u6709\u9650\u5143\u7d20\u7684\u96c6\u5408\uff0c\u8be5\u96c6\u5408\u6216\u8005\u4e3a\u7a7a\u3001\u6216\u8005\u7531\u4e00\u4e2a\u79f0\u4e3a\u6839\uff08root\uff09\u7684\u5143\u7d20\u53ca\u4e24\u4e2a\u4e0d\u76f8\u4ea4\u7684\u3001\u88ab\u5206\u522b\u79f0\u4e3a\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u7684\u4e8c\u53c9\u6811\u7ec4\u6210\uff0c\u662f\u6709\u5e8f\u6811\u3002\u5f53\u96c6\u5408\u4e3a\u7a7a\u65f6\uff0c\u79f0\u8be5\u4e8c\u53c9\u6811\u4e3a\u7a7a\u4e8c\u53c9\u6811\u3002\u5728\u4e8c\u53c9\u6811\u4e2d\uff0c\u4e00\u4e2a\u5143\u7d20\u4e5f\u79f0\u4f5c\u4e00\u4e2a\u8282\u70b9\u3002<\/p>\n
\u4e8c\u53c9\u6811\u7684\u7279\u6b8a\u7c7b\u578b\uff1a<\/p>\n
    \n
  • \u6ee1\u4e8c\u53c9\u6811<\/strong>\uff1a\u5982\u679c\u4e00\u68f5\u4e8c\u53c9\u6811\u53ea\u6709\u5ea6\u4e3a0\u7684\u8282\u70b9\u548c\u5ea6\u4e3a2\u7684\u8282\u70b9\uff0c\u5e76\u4e14\u5ea6\u4e3a0\u7684\u8282\u70b9\u5728\u540c\u4e00\u5c42\u4e0a\uff0c\u5219\u8fd9\u68f5\u4e8c\u53c9\u6811\u4e3a\u6ee1\u4e8c\u53c9\u6811\u00a0\u3002<\/li>\n
  • \u5b8c\u5168\u4e8c\u53c9\u6811<\/strong>\uff1a\u6df1\u5ea6\u4e3ak\uff0c\u6709n\u4e2a\u8282\u70b9\u7684\u4e8c\u53c9\u6811\u5f53\u4e14\u4ec5\u5f53\u5176\u6bcf\u4e00\u4e2a\u8282\u70b9\u90fd\u4e0e\u6df1\u5ea6\u4e3ak\u7684\u6ee1\u4e8c\u53c9\u6811\u4e2d\u7f16\u53f7\u4ece1\u5230n\u7684\u8282\u70b9\u4e00\u4e00\u5bf9\u5e94\u65f6\uff0c\u79f0\u4e3a\u5b8c\u5168\u4e8c\u53c9\u6811\u3002<\/li>\n<\/ul>\n
    \u5ef6\u4f38\u9605\u8bfb1\uff1a\u4e8c\u53c9\u6811\u7684\u6027\u8d28<\/em><\/strong><\/p>\n
      \n
    • \u4e8c\u53c9\u6811\u7684\u7b2ci\u5c42\u4e0a\u81f3\u591a\u67092i-1<\/sup>\uff08i\u22651\uff09\u4e2a\u8282\u70b9\u3002<\/li>\n
    • \u6df1\u5ea6\u4e3ah\u7684\u4e8c\u53c9\u6811\u4e2d\u81f3\u591a\u542b\u67092h<\/sup>-1\u4e2a\u8282\u70b9\u3002<\/li>\n
    • \u82e5\u5728\u4efb\u610f\u4e00\u68f5\u4e8c\u53c9\u6811\u4e2d\uff0c\u6709n0<\/sub>\u4e2a\u53f6\u5b50\u8282\u70b9\uff0c\u6709n2<\/sub>\u4e2a\u5ea6\u4e3a2\u7684\u8282\u70b9\uff0c\u5219\u5fc5\u6709n0<\/sub>=n2<\/sub>+1\u3002<\/li>\n
    • \u5177\u6709n\u4e2a\u8282\u70b9\u7684\u6ee1\u4e8c\u53c9\u6811\u6df1\u4e3alog2(n+1)\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"\u5b8c\u5168\u4e8c\u53c9\u6811\u975e\u5e38\u9002\u5408\u987a\u5e8f\u5b58\u50a8\u7ed3\u6784\u7684\u539f\u56e0\uff1a\u5b8c\u5168\u4e8c\u53c9\u6811\u662f\u4e00\u79cd\u7279\u6b8a\u4e8c\u53c9\u6811\uff0c\u5b83\u4fdd\u8bc1\u6240\u6709\u53f6\u5b50\u8282\u70b9\u90fd\u5728\u6700\u4e0b\u5c42\uff0c\u800c\u4e14\u9664\u4e86\u6700\u4e0b\u4e00 […]","protected":false},"author":1,"featured_media":26978,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[377],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/26971"}],"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=26971"}],"version-history":[{"count":0,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/26971\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/26978"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=26971"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=26971"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=26971"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}