{"id":443,"date":"2024-05-03T15:40:16","date_gmt":"2024-05-03T07:40:16","guid":{"rendered":"https:\/\/seanxd.com\/?p=443"},"modified":"2024-05-03T15:40:19","modified_gmt":"2024-05-03T07:40:19","slug":"zerojudge-e513","status":"publish","type":"post","link":"https:\/\/seanxd.com\/en\/zerojudge-e513\/","title":{"rendered":"ZeroJudge E513: Symmetric Matrix"},"content":{"rendered":"\n\n\n

\u540c\u984c\uff1aUVa 11349 – Symmetric Matrix<\/h4>\n\n\n\n

\u73fe\u5728\u7d66\u4f60\u4e00\u500b\u6b63\u65b9\u5f62\u77e9\u9663 M\u3002
M \u77e9\u9663\u7684\u5143\u7d20\u70baM[i][j]\uff1a{0 < i < N\uff0c0 < j < N}\u3002
\u5728\u9019\u500b\u554f\u984c\u4e2d\uff0c\u60a8\u5fc5\u9808\u627e\u51fa\u7d66\u5b9a\u7684\u77e9\u9663\u662f\u5426\u5c0d\u7a31 (Symmetric)\u3002<\/p>\n\n\n\n

\u5b9a\u7fa9\uff1a\u5c0d\u7a31\u77e9\u9663\u6240\u6709\u5143\u7d20\u90fd\u662f\u975e\u8ca0\u7684\u4e26\u4e14\u76f8\u5c0d\u65bc\u8a72\u77e9\u9663\u7684\u4e2d\u5fc3\u5c0d\u7a31\u3002
\u4efb\u4f55\u5176\u4ed6\u77e9\u9663\u90fd\u88ab\u8a8d\u70ba\u662f\u975e\u5c0d\u7a31\u7684\u3002<\/p>\n\n\n\n

\u4f60\u8981\u505a\u7684\u5c31\u662f\u5224\u65b7\u9019\u500b\u77e9\u9663\u662f\u5426\u5c0d\u7a31\u3002
\u77e9\u9663\u5167\u7684\u5143\u7d20\u7bc4\u570d\u70ba -232<\/sup> <= M[i][j] <= 232<\/sup> \u4e14 0 < N <= 100\u3002<\/p>\n\n\n\n

\u7bc4\u4f8b\u6e2c\u8cc7<\/h2>\n\n\n\n
\u7bc4\u4f8b\u8f38\u5165<\/th>\u7bc4\u4f8b\u8f38\u51fa<\/th><\/tr><\/thead>
\u8f38\u5165\u7684\u7b2c\u4e00\u884c\u5305\u542b\u4e00\u500b\u6578\u5b57 T (T <= 300)\uff0c\u4ee3\u8868\u6e2c\u8cc7\u7684\u6578\u91cf\u3002
\u6bcf\u7d44\u6e2c\u8a66\u8cc7\u6599\u7684\u7b2c\u4e00\u884c\u5305\u542b\u5169\u500b\u5b57\u5143\u4e00\u500b\u6574\u6578 N\uff0cN \u4ee3\u8868\u9019\u500b\u6b63\u65b9\u77e9\u9663\u7684\u7dad\u5ea6\u3002
\u63a5\u4e0b\u4f86\u7684 N \u884c\u5373\u70ba\u9019\u500b\u77e9\u9663\u5167\u7684\u5143\u7d20\u6578\u503c\u3002
\u6bcf\u4e00\u5217 i \u6709 N \u500b\u6578\u5b57\uff0c\u7b2ci\u5217\u7684\u7b2cj\u500b\u6578\u5b57\u5373\u662fM[i][j]\u3002<\/td>		\u5c0d\u6bcf\u4e00\u7b46\u6e2c\u8a66\u8cc7\u6599\u8f38\u51fa\u4e00\u884c\u300cTest #t: S\u300d\uff0ct \u70ba\u7b2c\u5e7e\u7b46\u6e2c\u8a66\u8cc7\u6599\u7684\u7de8\u865f\uff0cS \u70ba\u7b54\u6848\u5b57\u4e32\u3002
\u5982\u679c\u8f38\u5165\u7684\u77e9\u9663\u662f\u5c0d\u7a31\u77e9\u9663\uff0cS = \u300cSymmetric\u300d\u3002
\u5982\u679c\u8f38\u5165\u7684\u77e9\u9663\u4e0d\u662f\u5c0d\u7a31\u77e9\u9663\uff0cS =\u300cNon-symmetric\u300d\u3002<\/td><\/tr>
2
N = 3
5 1 3
2 0 2
3 1 5
N = 3
5 1 3
2 0 2
0 1 5<\/td>		Test #1: Symmetric.
Test #2: Non-symmetric.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n

\u672c\u984c\u9700\u4f7f\u7528 Long Long Int \u4f86\u5b58\u77e9\u9663\u4e2d\u7684\u8cc7\u6599\uff0c\u6536\u8cc7\u6599\u7684\u6642\u5019\u5982\u679c\u6709\u6536\u5230\u5c0f\u65bc 0 \u7684\u6578\u5b57\uff0c\u53ef\u4ee5\u9810\u8a2d\u4e00\u500b\u5e03\u6797\u503c\uff0c\u4e4b\u5f8c\u5c31\u4e0d\u7528\u9032\u884c\u5224\u65b7<\/strong>\u3002<\/p>\n\n\n\n

\u53ef\u4ee5\u5c07\u77e9\u9663\u4e2d\u7684\u8cc7\u6599\u6536\u6210\u4e00\u7dad\u9663\u5217<\/strong>\uff0c\u7136\u5f8c\u5224\u65b7\u9019\u500b\u4e00\u7dad\u9663\u5217\u662f\u5426\u662f\u8ff4\u6587<\/strong>\uff0c\u9019\u6a23\u5c31\u53ef\u4ee5\u5224\u65b7\u9019\u500b\u77e9\u9663\u662f\u5426\u662f\u5c0d\u7a31\u7684\u3002<\/p>\n\n\n\n

\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0dZeroJudge E513: Symmetric Matrix<\/a><\/h3>\n\n\n\n
#include <iostream>\n#include <vector>\n#include <algorithm>\nusing namespace std;\n\nint main() {\n    cin.sync_with_stdio(0);\n    cin.tie(0);\n    int N;\n    cin >> N;\n    for (int i = 0; i<N; i++)\n    {\n        char a, b;\n        int M;\n        cin >> a >> b >> M;\n        vector<long long int>num;\n        bool negative = false;\n        for (int j = 0; j<M; j++)\n        {\n            for (int k = 0; k<M; k++)\n            {\n                long long int tmp;\n                cin >> tmp;\n                num.push_back(tmp);\n                if (tmp < 0) negative = true;\n            }\n        }\n        if (!negative)\n        {\n            vector<long long int>tmp = num;\n            reverse(tmp.begin(), tmp.end());\n            if (tmp == num) cout << "Test #" << i+1 << ": Symmetric.\\n";\n            else cout << "Test #" << i+1 << ": Non-symmetric.\\n";\n        }\n        else cout << "Test #" << i+1 << ": Non-symmetric.\\n";\n    }\n}\n\n\/\/ZeroJudge E513\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"
\u540c\u984c\uff1aUVa 11349 – Symmetric Matrix \u73fe\u5728\u7d66\u4f60\u4e00\u500b\u6b63\u65b9\u5f62\u77e9\u9663 M\u3002M \u77e9 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[18],"tags":[15,20,8,9],"class_list":["post-443","post","type-post","status-publish","format-standard","hentry","category-uva","tag-long-long-int","tag-20","tag-8","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/posts\/443","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/comments?post=443"}],"version-history":[{"count":1,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/posts\/443\/revisions"}],"predecessor-version":[{"id":444,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/posts\/443\/revisions\/444"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/media?parent=443"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/categories?post=443"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/en\/wp-json\/wp\/v2\/tags?post=443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}