{"id":118,"date":"2011-08-10T23:08:48","date_gmt":"2011-08-10T15:08:48","guid":{"rendered":"http:\/\/wangkaixuan.tech\/?p=118"},"modified":"2020-06-03T23:09:28","modified_gmt":"2020-06-03T15:09:28","slug":"poj-3487-zoj-3120-the-stable-marriage-problem-%e5%bb%b6%e8%bf%9f%e8%ae%a4%e5%8f%af%e7%ae%97%e6%b3%95%ef%bc%88gale-shapley%e7%ae%97%e6%b3%95%ef%bc%89","status":"publish","type":"post","link":"http:\/\/www.wangkaixuan.tech\/?p=118","title":{"rendered":"poj 3487 zoj 3120 The Stable Marriage Problem \u5ef6\u8fdf\u8ba4\u53ef\u7b97\u6cd5\uff08Gale-Shapley\u7b97\u6cd5\uff09"},"content":{"rendered":"\n
\/*\n\u4f20\u8bf4\u4e2d\u7684Gale-Shapley\u7b97\u6cd5\u3002\u3002\u3002\n\u7b2c\u4e00\u6b21\u542c\u8bf4\u8fd9\u4e2a\u7b97\u6cd5\n\u767e\u5ea6\u4e00\u4e0b\u624d\u77e5\u9053\u6b64\u7b97\u6cd5\u5df2\u7ecf\u6709\u5176\u5b9e\u9645\u5e94\u7528\u4e86\u3002\u3002\u3002\n\u6b64\u9898\u4ece\u65e9\u4e0a\u516b\u70b9\u5f00\u59cb\u770b\n\u5148\u662f\u7528\u4e86n\u591a\u961f\u5217\u5199\n\u6d4b\u8bd5\u5012\u662f\u901a\u8fc7\u4e86\n\u5c31\u662f\u63d0\u4ea4\u65f6\u8001SF\n\u7136\u540e\u5c31\u770b\u5230\u4e86\u7f51\u4e0a\u8bf4\u7684Gale-Shapley\u7b97\u6cd5\n\u4ece\u5b66\u4e60\u7b97\u6cd5\u7136\u540e\u5199\u4ee3\u7801\u8c03\u8bd5\n\u6700\u540e\u5230\u63d0\u4ea4AC\u65f6\u5df2\u7ecf\u662f\u4e0b\u53484\u70b9\u534a\n\u672c\u6765\u4ee5\u4e3a\u4eca\u5929\u80af\u5b9a\u8fc7\u4e0d\u4e86\n\u6ca1\u5148\u5230\u63d0\u4ea4\u65f6\u4e00\u6b21\u901a\u8fc7\n\u559c\u60a6\u4e4b\u60c5\u987f\u751f\u3002\u3002\u3002 \n\u4e0d\u8bf4\u5e9f\u8bdd\u4e86\n\u4e0b\u9762\u8bb2\u4e00\u4e0b\u601d\u8def\uff1a\n\u8be5\u7b97\u6cd5\u7684\u603b\u4f53\u601d\u8def\u662f\n\u8ba9\u7537\u751f\u6839\u636e\u4ed6\u4eec\u5bf9\u5973\u751f\u7684\u559c\u6b22\u7a0b\u5ea6\u5bf9\u5973\u751f\u8fdb\u884c\u8ffd\u6c42\n\u5973\u751f\u5219\u6839\u636e\u524d\u6765\u8ffd\u6c42\u7684\u5bf9\u8c61\u51b3\u5b9a\u662f\u63a5\u53d7\u8fd8\u662f\u62d2\u7edd\n\u63a5\u53d7\u8fd8\u662f\u62d2\u7edd\u53d6\u51b3\u4e8e\u8be5\u5973\u751f\u5bf9\u8be5\u7537\u751f\u7684\u559c\u6b22\u7a0b\u5ea6 \n\u5177\u4f53\u5b9e\u73b0\u662f\u7528\u4e24\u4e2a\u77e9\u9635\n1. libman[][]\u8bb0\u5f55\u7537\u751f\u559c\u6b22\u7684\u5973\u751f\u5217\u8868\n\u4ece\u559c\u6b22\u5230\u4e0d\u559c\u6b22\u964d\u5e8f\u6392\u5217\n2.ladyscore[][]\u8bb0\u5f55\u5973\u751f\u5bf9\u5404\u4e2a\u7537\u751f\u6240\u6253\u7684\u5206\u6570\n\u5206\u6570\u8d8a\u9ad8\u5219\u8868\u660e\u5973\u751f\u5bf9\u8be5\u7537\u751f\u7684\u5fc3\u4eea\u7a0b\u5ea6\u8d8a\u9ad8 \n\u7537\u751f\u6709\u4e24\u79cd\u72b6\u6001\n\u81ea\u7531\u7537\u548c\u7ea6\u4f1a\u7537\n\u6211\u4eec\u7684\u76ee\u6807\u662f\u8ba9\u6240\u6709\u7684\u81ea\u7531\u7537\u53d8\u6210\u7ea6\u4f1a\u7537\n\u6240\u4ee5\u7528\u4e00\u4e2a\u6808freeman(\u961f\u5217\u4ea6\u53ef)\u88c5\u81ea\u7531\u7537\n\u5f53\u6808\u7a7a\u65f6\u8868\u660e\u7ea6\u4f1a\u7ed3\u675f\n\u7528\u6570\u7ec4man[]\u6765\u8bb0\u5f55\u5bf9\u5e94\u7f16\u53f7\u7684\u7537\u751f\u4e0b\u4e00\u4e2a\u7ea6\u4f1a\u76ee\u6807\n\u7528\u6570\u7ec4lady[]\u6765\u8bb0\u5f55\u5bf9\u5e94\u7f16\u53f7\u7684\u5973\u751f\u73b0\u4efb\u7537\u53cb\u7684\u7f16\u53f7\n\u4e3a\u4e86\u4fbf\u4e8e\u5904\u7406\n\u865a\u6784\u4e00\u4e2a\u4e0d\u5b58\u5728\u7684\u7537\u53cb\uff0c\u7f16\u53f7\u6700\u5927\uff0c\u5206\u6570\u6700\u4f4e\n\u610f\u5373\u6b64\u4eba\u4e3a\u67d0\u5973\u751f\u73b0\u4efb\u7537\u53cb\u65f6\u53ea\u8981\u6709\u4eba\u8ffd\u6c42\n\u8be5\u5973\u751f\u5c31\u4f1a\u6beb\u4e0d\u7559\u60c5\u5730\u629b\u5f03\u4ed6 \n*\/\n#define LOCAL\n#include<iostream>\n#include<cstdio>\n#include<cstring>\n#include<stack>\n#include<algorithm> \/\/sort()\u5305\u542b\u5728\u8fd9\u4e2a\u5934\u6587\u4ef6\u4e2d ps:\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0bsort()\u6bd4qsort()\u8981\u5feb \n#define N 26\nusing namespace std;\nint main()\n{\n#ifdef LOCAL\n       freopen(\"input.txt\",\"r\",stdin);\n       freopen(\"output.txt\",\"w\",stdout);\n#endif\n \n    short ncase,couple,libman[N][N],man[N],ladyscore[N][N],lady[N],male,female,i,j,first=1,a[N];\n    stack<int> freeman;\n    string list;\n    char temp;  \n    cin>>ncase;\n    while(ncase--)\n    {\n            if(first) first=0; \n            else cout<<endl;                 \/\/\u6253\u5370\u5b9e\u4f8b\u95f4\u7684\u7a7a\u683c \n            while(!freeman.empty())  freeman.pop(); \/\/\u6e05\u7a7a\u6808 \n            cin>>couple;\n            \/\/\u5f97\u5230\u6570\u636e \n            for(i=0;i<couple;i++)\n            {\n                   cin>>temp;\n                   a[i]=temp-'a';   \/\/\u7528a[]\u8bb0\u5f55\u7537\u751f\u5217\u8868 \n                   freeman.push(a[i]);   \/\/\u6240\u6709\u7537\u751f(\u4e00\u5f00\u59cb\u90fd\u662f\u81ea\u7531\u7537)\u5165\u6808                  \n            }  \n            sort(a,a+couple);\/\/\u5bf9\u6240\u6709\u8f93\u5165\u7684\u7537\u751f\u8fdb\u884c\u6392\u5e8f\u4e00\u8fb9\u4e0e\u540e\u9762\u6309\u5b57\u5178\u5e8f\u8f93\u51fa \n            for(i=0;i<couple;i++) cin>>temp;\n            \/\/\u63a5\u6536\u5973\u751f\u5217\u8868(\u7531\u4e8e\u5973\u751f\u548c\u7537\u751f\u662f\u4e00\u4e00\u5bf9\u5e94\u7684\u6240\u4ee5\u8fd9\u91cc\u53ea\u662f\u5c06\u5176\u63a5\u6536\u800c\u5e76\u4e0d\u8bb0\u5f55) \n            for(i=0;i<couple;i++)\/\/\u8bb0\u5f55\u7537\u751f\u7684\u5fc3\u4eea\u5973\u751f \n            {\n                   cin>>list;\n                   for(j=0;j<couple;j++)\n                   {\n                           libman[i][j]=list[j+2]-'A';                     \n                   }                     \n            }            \n            for(i=0;i<couple;i++)\/\/\u5973\u751f\u5bf9\u4ed6\u4eec\u7684\u8ffd\u6c42\u8005\u4e00\u4e00\u6253\u5206 \n            {\n                   cin>>list;\n                   for(j=0;j<couple;j++)\n                          ladyscore[i][list[j+2]-'a']=couple-j;              \n            }            \n            for(i=0;i<couple;i++)\n                   ladyscore[i][couple]=0;\/\/\u5bf9\"\u4e0d\u5b58\u5728\"\u7684\u7537\u751f\u6253\u6700\u4f4e\u5206 \n            memset(man,0,sizeof(man));\n            for(i=0;i<N;i++)  lady[i]=couple;\/\/\u8fd9\u91cc\u4e0d\u80fd\u7528memset()\u56e0\u4e3acouple\u662f\u53d8\u91cf\u800c\u4e0d\u662f\u5e38\u6570 \n            while(!freeman.empty())\/\/\u8fdb\u884c\u5339\u914d \n            {\n                     male=freeman.top();\/\/\u7528male\u8bb0\u5f55\u5f53\u524d\u8ffd\u6c42\u8005 \n                     female=libman[male][man[male]];\/\/\u7528female\u8bb0\u5f55male\u6240\u8ffd\u6c42\u7684\u5973\u751f \n                     if(ladyscore[female][male]>ladyscore[female][lady[female]]) \/\/\u82e5\u5f53\u524d\u8ffd\u6c42\u8005\u6bd4\u5176\u73b0\u4efb\u7537\u53cb\u4f18\u79c0 \n                     {\n                              freeman.pop();\/\/\u8be5\u7537\u751f\u7ea6\u4f1a\u6210\u529f\u8df3\u51fa\u81ea\u7531\u7537\u884c\u5217 \n                              if(lady[female]!=couple)\/\/\u5982\u679c\u8be5\u5973\u751f\u6709\u524d\u7537\u53cb \n                              {freeman.push(lady[female]);man[lady[female]]++;}\n                              \/\/\u5c06\u5176\u524d\u7537\u53cb\u6253\u5165\u81ea\u7531\u7537\u884c\u5217\uff0c\u8be5\u7537\u751f\u523b\u610f\u8ffd\u6c42\u4ed6\u7684\u6b21\u559c\u6b22\u5973\u751f \n                              lady[female]=male;\/\/\u8ffd\u6c42\u8005\u6210\u4e3a\u8be5\u5973\u751f\u73b0\u4efb\u7537\u53cb \n                     }                      \n                     else if(ladyscore[female][male]<ladyscore[female][lady[female]]) \/\/\u82e5\u5f53\u524d\u8ffd\u6c42\u8005\u6ca1\u6709\u5176\u73b0\u4efb\u7537\u53cb\u4f18\u79c0 \n                              man[male]++;\/\/\u8be5\u7537\u751f\u53ef\u4ee5\u8ffd\u6c42\u5176\u6b21\u559c\u6b22\u5973\u751f \n            }\n            for(i=0;i<couple;i++) \/\/\u8f93\u51fa\u7ea6\u4f1a\u7ed3\u679c \n                     printf(\"%c %c\\n\",a[i]+'a',libman[a[i]][man[a[i]]]+'A');\n                               \n    }\n    return 0;\n}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-118","post","type-post","status-publish","format-standard","hentry","category-06-01-acm"],"_links":{"self":[{"href":"http:\/\/www.wangkaixuan.tech\/index.php?rest_route=\/wp\/v2\/posts\/118","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.wangkaixuan.tech\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.wangkaixuan.tech\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.wangkaixuan.tech\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/www.wangkaixuan.tech\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=118"}],"version-history":[{"count":0,"href":"http:\/\/www.wangkaixuan.tech\/index.php?rest_route=\/wp\/v2\/posts\/118\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.wangkaixuan.tech\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=118"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.wangkaixuan.tech\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=118"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.wangkaixuan.tech\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}