{"id":1161,"date":"2024-08-29T09:00:00","date_gmt":"2024-08-29T01:00:00","guid":{"rendered":"https:\/\/seanxd.com\/?p=1161"},"modified":"2024-08-09T05:28:29","modified_gmt":"2024-08-08T21:28:29","slug":"zerojudge-d324","status":"publish","type":"post","link":"https:\/\/seanxd.com\/zh\/zerojudge-d324\/","title":{"rendered":"ZeroJudge D324: 8 Queens Chess Problem"},"content":{"rendered":"\n\n\n<h4 class=\"wp-block-heading\">\u540c\u984c\uff1aUVa 00750 &#8211; 8 Queens Chess Problem<\/h4>\n\n\n\n<p>\u5728\u897f\u6d0b\u68cb\u5f97\u68cb\u76e4\u4e2d\u4f60\u53ef\u4ee5\u653e\u7f6e8\u500b\u7687\u540e\u800c\u4e14\u5f7c\u6b64\u90fd\u4e0d\u885d\u7a81 (\u5c31\u662f\u90fd\u4e0d\u80fd\u5403\u5230\u5c0d\u65b9\uff09\u3002\u7d66\u4f60\u67d0\u4e00\u500b\u7687\u540e\u7684\u4f4d\u7f6e\uff0c\u8acb\u4f60\u5beb\u4e00\u500b\u7a0b\u5f0f\u4f86\u8f38\u51fa\u6240\u6709\u9019\u6a23\u53ef\u80fd\u7684\u5b89\u6392\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7bc4\u4f8b\u8f38\u5165<\/th><th>\u7bc4\u4f8b\u8f38\u51fa<\/th><\/tr><\/thead><tbody><tr><td>\u8f38\u5165\u7684\u7b2c\u4e00\u5217\u6709\u4e00\u500b\u6574\u6578\uff0c\u4ee3\u8868\u4ee5\u4e0b\u6709\u5e7e\u7d44\u6e2c\u8a66\u8cc7\u6599\u3002<br>\u6bcf\u7d44\u6e2c\u8a66\u8cc7\u6599\u4e00\u5217\u3002\u6bcf\u5217\u6709 2 \u500b\u6574\u6578 \uff0c\u4ee3\u8868\u5176\u4e2d\u4e00\u500b\u7687\u540e\u5fc5\u9808\u653e\u7f6e\u7684\u4f4d\u7f6e\u3002\u70ba\u4e86\u628a\u68cb\u76e4\u6a19\u6e96\u5316\uff0c\u6211\u5011\u5b9a\u7fa9\u68cb\u76e4\u6700\u5de6\u4e0a\u89d2\u7684\u4f4d\u7f6e\u70ba (1, 1\uff09\u3002\u6240\u4ee5\u4e0b\u5716\u9ed1\u8272\u65b9\u584a\u7684\u4f4d\u7f6e\u70ba (4, 6\uff09\uff0c\u4ee3\u8868\u7b2c 4 \u5217 (ROW\uff09\uff0c\u7b2c 6 \u884c (COLUMN\uff09\u3002<\/td><td>\u5c0d\u6bcf\u4e00\u7d44\u6e2c\u8a66\u8cc7\u6599\u8acb\u5148\u8f38\u51fa\u8868\u982d\u3002\u7136\u5f8c\u6bcf\u4e00\u7a2e\u89e3\u7b54\u4e00\u5217\uff0c\u5728\u9019\u88e1\u53ea\u8f38\u51fa\u5217\u7684\u4f4d\u7f6e\uff0c\u884c\u7684\u4f4d\u7f6e\u5247\u4ee5\u9019 8 \u500b\u6578\u5b57\u51fa\u73fe\u7684\u9806\u5e8f\u8868\u793a\u3002\u82e5\u4ee5Sample Output\u7b2c1\u7d44\u6e2c\u8a66\u8cc7\u6599\u70ba\u4f8b\u8aaa\u660e\uff1a\u7b2c 1 \u7a2e\u89e3\u7b54 8 \u500b\u7687\u540e\u7684\u4f4d\u7f6e\u5206\u5225\u70ba (1, 1)\u3001(5, 2)\u3001(8, 3)\u3001(6, 4)\u3001(3, 5)\u3001(7, 6)\u3001(2, 7)\u3001(4, 8)\u3002<br>\u5982\u679c\u6709\u4e0d\u53ea\u4e00\u7a2e\u89e3\u7b54\uff0c\u8acb\u6309\u7167\u5b57\u5178\u9806\u5e8f\u7531\u5c0f\u5230\u5927\u6392\u5217\u3002\u6e2c\u8a66\u8cc7\u6599\u9593\u4ea6\u8acb\u8f38\u51fa\u4e00\u7a7a\u767d\u5217\uff0c\u8acb\u53c3\u8003 Sample Output\u3002<\/td><\/tr><tr><td>1<br>1 1<\/td><td>SOLN COLUMN<br># 1 2 3 4 5 6 7 8<br><br>1      1 5 8 6 3 7 2 4<br>2      1 6 8 3 7 4 2 5<br>3      1 7 4 6 8 2 5 3<br>4      1 7 5 8 2 4 6 3<\/td><\/tr><\/tbody><\/table><figcaption class=\"wp-element-caption\">ZeroJudge D324 \u7bc4\u4f8b\u6e2c\u8cc7<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n<p>\u4f7f\u7528 DFS \u7684\u65b9\u5f0f\u53bb\u6e2c\u8a66\u6bcf\u4e00\u6392\u662f\u5426\u53ef\u4ee5\u6210\u70ba\u4e00\u7a2e\u53ef\u80fd\uff0c\u628a\u5df2\u7d93\u653e\u7f6e\u7684\u7687\u540e\u4f4d\u7f6e\u5b58\u5230\u4e00\u500b\u9663\u5217\u4e2d\uff0c\u6bcf\u6b21\u8981\u653e\u65b0\u7684\u7687\u540e\u6642\u8981\u6aa2\u67e5\u9663\u5217\u4e2d\u7684\u4f4d\u7f6e\u770b\u770b\u662f\u5426\u6703\u88ab\u5403\u6389\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0d<a href=\"https:\/\/zerojudge.tw\/ShowProblem?problemid=d324\" target=\"_blank\" rel=\"noreferrer noopener\">ZeroJudge D324: 8 Queens Chess Problem<\/a><\/h3>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-cpp\" data-lang=\"C++\"><code>#include &lt;iostream&gt;\n#include &lt;vector&gt;\n#include &lt;algorithm&gt;\nusing namespace std;\n\nvector&lt;pair&lt;int, int&gt;&gt;queen;\nvector&lt;vector&lt;pair&lt;int, int&gt;&gt;&gt;ans;\n\nint horizontal[10] = {};\nint y, x;\n\n\nvoid DFS(const int row, vector&lt;pair&lt;int, int&gt;&gt;v, int *hor) {\n    if (row == y) {\n        DFS(row+1, v, hor);\n        return;\n    }\n    if (row == 9) {\n        ans.push_back(v);\n        return;\n    }\n    for (int i = 1; i&lt;=8; i++) {\n        if (hor[i] != 0) continue;\n        bool isOK = true;\n        for (int j = 0; j&lt;v.size(); j++) {\n            \/\/cout &lt;&lt; row &lt;&lt; &quot; &quot; &lt;&lt; i &lt;&lt; &quot; &quot; &lt;&lt; v[j].first &lt;&lt; &quot; &quot; &lt;&lt; v[j].second &lt;&lt; endl;\n            if (v[j].first == i || abs(row-v[j].second) == abs(i-v[j].first)) {\n                isOK = false;\n                break;\n            }\n        }\n        if(isOK) {\n            v.push_back(make_pair(i, row));\n            hor[i]++;\n            DFS(row+1, v, hor);\n            hor[i]--;\n            v.pop_back();\n        }\n        \/\/break;\n    }\n}\n\nint main() {\n    cin.sync_with_stdio(0);\n    cin.tie(0);\n    int T;\n    cin &gt;&gt; T;\n    for (int i = 0; i&lt;T; i++) {\n        queen.clear();\n        ans.clear();\n        cin &gt;&gt; y &gt;&gt; x;\n        queen.push_back(make_pair(x, y));\n        for (int j = 1; j&lt;=8; j++) horizontal[j] = 0;\n        horizontal[x]++;\n        DFS(1, queen, horizontal);\n        cout &lt;&lt; &quot;SOLN       COLUMN\\n #      1 2 3 4 5 6 7 8\\n\\n&quot;;\n        vector&lt;vector&lt;int&gt;&gt;output;\n        for (int j = 0; j&lt;ans.size(); j++) {\n            sort(ans[j].begin(), ans[j].end());\n            vector&lt;int&gt;tmp;\n            for (int k = 0; k&lt;8; k++) tmp.push_back(ans[j][k].second);\n            output.push_back(tmp);\n        }\n        sort(output.begin(), output.end());\n        for (int j = 0; j&lt;output.size(); j++) {\n            cout &lt;&lt; j+1 &lt;&lt; &quot;      &quot;;\n            for (int k = 0; k&lt;8; k++) {\n                cout &lt;&lt; output[j][k] &lt;&lt; &quot; &quot;;\n            }\n            cout &lt;&lt; &quot;\\n&quot;;\n        }\n        cout &lt;&lt; &quot;\\n&quot;;\n    }\n}\n\n\/\/ZeroJudge D324\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u540c\u984c\uff1aUVa 00750 &#8211; 8 Queens Chess Problem \u5728\u897f\u6d0b\u68cb\u5f97\u68cb\u76e4\u4e2d\u4f60\u53ef\u4ee5 [&hellip;]<\/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":[21,23,20,8,19,9],"class_list":["post-1161","post","type-post","status-publish","format-standard","hentry","category-uva","tag-dfs","tag-pair","tag-20","tag-8","tag-19","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/1161","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/comments?post=1161"}],"version-history":[{"count":2,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/1161\/revisions"}],"predecessor-version":[{"id":1163,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/1161\/revisions\/1163"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/media?parent=1161"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/categories?post=1161"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/tags?post=1161"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}