{"id":288,"date":"2012-11-24T20:11:00","date_gmt":"2012-11-24T12:11:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/193"},"modified":"2012-11-24T20:11:00","modified_gmt":"2012-11-24T12:11:00","slug":"poj_3487_stable_marriage_problem","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=288","title":{"rendered":"POJ 3487(\u7a33\u5b9a\u5a5a\u59fb\u95ee\u9898)"},"content":{"rendered":"<table border=\"0\" width=\"100%\" background=\"http:\/\/poj.org\/images\/table_back.jpg\" style=\"font-family:Simsun\">\n<tbody>\n<tr>\n<td>\n<div style=\"position:absolute; right:10px\">Language:<select size=\"1\"><option value=\"default\" selected=\"selected\"><br \/>\nDefault<\/option><\/select><\/div>\n<div class=\"ptt\" lang=\"en-US\" style=\"text-align:center; font-size:18pt; font-weight:bold; color:blue\">\n<span style=\"font-size:18px\"><span style=\"color:rgb(0,0,255); font-size:24px; text-align:center\"><strong>The Stable Marriage Problem<\/strong><\/span><\/span><\/div>\n<div class=\"plm\" style=\"text-align:center; font-size:12pt\">\n<table align=\"center\">\n<tbody>\n<tr>\n<td><strong>Time Limit:<\/strong>&nbsp;1000MS<\/td>\n<td width=\"10px\">&nbsp;<\/td>\n<td><strong>Memory Limit:<\/strong>&nbsp;65536K<\/td>\n<\/tr>\n<tr>\n<td><strong>Total Submissions:<\/strong>&nbsp;1941<\/td>\n<td width=\"10px\">&nbsp;<\/td>\n<td><strong>Accepted:<\/strong>&nbsp;827<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p class=\"pst\" style=\"text-align:left; font-size:18pt; font-weight:bold; color:blue\">\nDescription<\/p>\n<div class=\"ptx\" lang=\"en-US\" style=\"font-family:'Times New Roman',Times,serif; font-size:12pt\">\n<p>\u7a33\u5b9a\u5a5a\u59fb\u7cfb\u7edf\u95ee\u9898\u5982\u4e0b<\/p>\n<ul>\n<li>\u96c6\u5408M \u8868\u793an\u4e2a\u7537\u6027;<\/li>\n<li>\u96c6\u5408 F \u8868\u793an\u4e2a\u5973\u6027;<\/li>\n<li>\u5bf9\u4e8e\u6bcf\u4e2a\u4eba\u6211\u4eec\u90fd\u6309\u5f02\u6027\u7684\u4e2d\u610f\u7a0b\u5ea6\u7ed9\u51fa\u4e00\u4efd\u540d\u5355(\u4ece\u6700\u4e2d\u610f\u7684\u5230\u6700\u4e0d\u4e2d\u610f\u7684).<\/li>\n<\/ul>\n<p>\u5982\u679c\u6ca1\u6709(<em>m<\/em>,&nbsp;<em>f<\/em>) ,&nbsp;<em>f<\/em>&nbsp;\u2208 F,<em>m<\/em>&nbsp;\u2208 M f\u5bf9m\u6bd4\u5bf9\u5979\u7684\u914d\u5076\u4e2d\u610f\u7684\u540c\u65f6<em>m<\/em>\u5bf9<em>f<\/em>\u6bd4\u5bf9\u4ed6\u7684\u914d\u5076\u66f4\u52a0\u4e2d\u610f\uff0c\u90a3\u8fd9\u4e2a\u5a5a\u59fb\u662f\u2018\u7a33\u5b9a\u2019\u7684.\u5982\u679c\u4e00\u4e2a\u7a33\u5b9a\u914d\u5bf9\u4e0d\u5b58\u5728\u53e6\u4e00\u4e2a\u7a33\u5b9a\u5a5a\u59fb\u914d\u5bf9\uff0c\u5176\u4e2d\u6240\u6709\u7684\u7537\u6027\u7684\u914d\u5076\u90fd\u6bd4\u73b0\u5728\u5f3a\uff0c\u90a3\u4e48\u8fd9\u4e2a\u7a33\u5b9a\u914d\u5bf9\u79f0\u4e3a\u7537\u6027\u6700\u4f18\u914d\u5bf9\u3002<\/p>\n<\/div>\n<p class=\"pst\" style=\"text-align:left; font-size:18pt; font-weight:bold; color:blue\">\nInput<\/p>\n<div class=\"ptx\" lang=\"en-US\" style=\"font-family:'Times New Roman',Times,serif; font-size:12pt\">\n<p>\u7b2c\u4e00\u884c\u4e3a\u6570\u636e\u6570.<\/p>\n<p>\u5bf9\u4e8e\u6bcf\u7ec4\u6570\u636e\uff0c\u7b2c\u4e00\u884c\u4e3an (0 &lt; n &lt; 27).\u63a5\u4e0b\u6765\u4e00\u884c\u4f9d\u6b21\u4e3a\u7537\u6027\u7684\u540d\u5b57\uff08\u5c0f\u5199\u5b57\u6bcd\uff09\u548c\u5973\u6027\u7684\u540d\u5b57\uff08\u5927\u5199\u5b57\u6bcd\uff09\u63a5\u4e0b\u6765 n \u884c\u4e3a\u6bcf\u4e2a\u7537\u6027\u7684\u4e2d\u610f\u7a0b\u5ea6\u540d\u5355\uff08\u4ece\u5927\u5230\u5c0f)\uff0c\u63a5\u4e0b\u6765n\u884c\u662f\u5973\u6027\u7684\u4e2d\u610f\u7a0b\u5ea6\u540d\u5355\uff08\u540c\u4e0a\uff09.<\/p>\n<\/div>\n<p class=\"pst\" style=\"text-align:left; font-size:18pt; font-weight:bold; color:blue\">\nOutput<\/p>\n<div class=\"ptx\" lang=\"en-US\" style=\"font-family:'Times New Roman',Times,serif; font-size:12pt\">\n<p>\u8f93\u51fa\u4e00\u7ec4\u7537\u6027\u6700\u4f18\u914d\u5bf9\uff0c\u7537\u6027\u6309\u5b57\u5178\u5e8f\u4ece\u5c0f\u5230\u5927\u6392\u5217\uff0c\u6bcf\u884c\u4e3a\u201c\u7537\u6027\u540d \u5973\u59d3\u540d\u201d\u7684\u5f62\u5f0f\uff1b<\/p>\n<p>\u6bcf\u6570\u636e\u540e\u8f93\u51fa\u4e00\u7a7a\u884c\u3002<\/p>\n<\/div>\n<p class=\"pst\" style=\"text-align:left; font-size:18pt; font-weight:bold; color:blue\">\nSample Input<\/p>\n<pre class=\"sio\" style=\"font-family:'Courier New',Courier,monospace; font-size:12pt\">2\n3\na b c A B C\na:BAC\nb:BAC\nc:ACB\nA:acb\nB:bac\nC:cab\n3\na b c A B C\na:ABC\nb:ABC\nc:BCA\nA:bac\nB:acb\nC:abc<\/pre>\n<p class=\"pst\" style=\"text-align:left; font-size:18pt; font-weight:bold; color:blue\">\nSample Output<\/p>\n<pre class=\"sio\" style=\"font-family:'Courier New',Courier,monospace; font-size:12pt\">a A\nb B\nc C\n\na B\nb A\nc C<\/pre>\n<p class=\"pst\" style=\"text-align:left; font-size:18pt; font-weight:bold; color:blue\">\nSource<\/p>\n<div class=\"ptx\" lang=\"en-US\" style=\"font-family:'Times New Roman',Times,serif; font-size:12pt\">\n<a href=\"http:\/\/poj.org\/searchproblem?field=source&amp;key=Southeastern+Europe+2007\" style=\"text-decoration:none\">Southeastern Europe 2007<\/a><\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-size:14px\">\u8fd9\u9898\u662f\u5f88\u7ecf\u5178\u7684\u7a33\u5b9a\u5a5a\u59fb\u7cfb\u7edf\u95ee<\/span><span style=\"font-size:14px\">\u9898,\u5b83\u7684\u89e3\u6cd5\u4e3a\u201c\u6c42\u5a5a-\u62d2\u7edd\u201d\u7b97\u6cd5\uff1a<\/span><\/p>\n<p><span style=\"font-size:14px\">======================================================================================================<\/span><\/p>\n<p><span style=\"font-size:18px\">\u7a33\u5b9a\u5a5a\u59fb\u95ee\u9898\u7684\u7ecf\u5178\u7b97\u6cd5\u4e3a\u6c42\u5a5a-\u62d2\u7edd\u7b97\u6cd5(propose-and-reject algorithm)\uff0c\u5373<br \/>\n\u7537\u58eb\u6309\u81ea\u5df1\u559c\u6b22\u7a0b\u5ea6\u4ece\u9ad8\u5230\u4f4e\u4f9d\u6b21\u7ed9\u6bcf\u4f4d\u5973\u58eb\u4e3b\u52a8\u6c42\u5a5a\uff0c\u76f4\u5230\u6709\u4e00\u4e2a\u63a5\u53d7\u4ed6\u3002\u5973\u58eb\u6bcf<br \/>\n\u6b21\u9047\u5230\u6bd4\u5f53\u524d\u914d\u5076\u66f4\u5dee\u7684\u7537\u58eb\u65f6\u62d2\u7edd\u4ed6\uff0c\u9047\u5230\u66f4\u559c\u6b22\u7684\u7537\u58eb\u65f6\u5c31\u63a5\u53d7\u4ed6\uff0c\u5e76\u629b\u5f03\u4ee5\u524d<br \/>\n\u7684\u914d\u5076\u3002\u88ab\u629b\u5f03\u7684\u7537\u58eb\u7ee7\u7eed\u6309\u7167\u5217\u8868\u5411\u5269\u4e0b\u7684\u5973\u58eb\u4f9d\u6b21\u6c42\u5a5a\uff0c\u76f4\u5230\u6240\u6709\u4eba\u90fd\u6709\u914d\u5076\u3002<br \/>\n\u770b\u8d77\u6765\u5973\u58eb\u66f4\u6709\u9009\u62e9\u6743\uff0c\u4f46\u5b9e\u9645\u4e0a\u6700\u540e\u5f97\u5230\u7684\u7ed3\u679c\u662f\u7537\u58eb\u6700\u4f18(man-optimal)\u7684\u3002\u4e0b<br \/>\n\u9762\u6211\u4eec\u8be6\u7ec6\u63cf\u8ff0\u8fd9\u4e00\u7b97\u6cd5\u5e76\u8bc1\u660e\u76f8\u5e94\u7684\u7ed3\u8bba\u3002<br \/>\n\u5982\u679c\u7b97\u6cd5\u6700\u540e\u5f97\u5230\u4e86\u4e00\u4e2a\u5339\u914d\uff0c\u90a3\u4e48\u5b83\u4e00\u5b9a\u662f\u7a33\u5b9a\u7684\u3002\u4e3a\u4e86\u8bc1\u660e\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u9996<br \/>\n\u5148\u6ce8\u610f\u5230\u968f\u7740\u7b97\u6cd5\u7684\u6267\u884c\uff0c\u6bcf\u4f4d\u5973\u58eb\u7684\u914d\u5076\u8d8a\u6765\u8d8a\u597d\uff0c\u800c\u6bcf\u4f4d\u7537\u58eb\u7684\u914d\u5076\u8d8a\u6765\u8d8a\u5dee\u3002<br \/>\n\u56e0\u6b64\u5047\u8bbe\u7537\u58ebu\u548c\u5973\u58ebv\u5f62\u6210\u4e0d\u7a33\u5b9a\u5bf9\uff0cu\u4e00\u5b9a\u66fe\u7ecf\u5411v\u6c42\u8fc7\u5a5a\uff0c\u4f46\u88ab\u62d2\u7edd\u3002\u8fd9\u8bf4\u660ev\u5f53\u65f6<br \/>\n\u7684\u914d\u5076\u6bd4u\u66f4\u597d\uff0c\u56e0\u6b64\u7b97\u6cd5\u7ed3\u675f\u540e\u7684\u914d\u5076\u4e00\u5b9a\u4ecd\u6bd4u\u597d\uff0c\u548c\u4e0d\u7a33\u5b9a\u5bf9\u7684\u5b9a\u4e49\u77db\u76fe\u3002<br \/>\n\u4e0b\u9762\u6211\u4eec\u53ea\u9700\u8981\u8bf4\u660e\u7b97\u6cd5\u4e00\u5b9a\u6210\u529f\u7ed3\u675f\uff0c\u5373\u4e0d\u4f1a\u5b58\u5728\u4e00\u4f4d\u7537\u58ebu\uff0c\u4f7f\u5f97\u4ed6\u5411\u6240\u6709<br \/>\n\u5973\u58eb\u6c42\u5a5a\u540e\u4ecd\u4e3a\u5355\u8eab\u3002\u5047\u8bbe\u5b58\u5728\u8fd9\u6837\u7684\u4eba\uff0c\u8bbe\u5176\u4e2d\u6700\u540e\u4e00\u6b21\u88ab\u629b\u5f03\u65f6\u523b\u6700\u665a\u7684\u7537\u58eb<br \/>\n\u4e3au\uff0c\u5219\u4ed6\u6700\u540e\u4e00\u6b21\u88ab\u629b\u5f03\u65f6\u65e0\u914d\u5076\uff0c\u56e0\u6b64\u5f53\u65f6\u4e00\u5b9a\u5b58\u5728\u5973\u58ebv\u4e5f\u6ca1\u6709\u914d\u5076\u3002\u7531\u4e8ev\u662f\u5355<br \/>\n\u8eab\u7684\uff0c\u6240\u4ee5\u4e00\u5b9a\u6ca1\u6709\u4eba\u5411\u5979\u6c42\u8fc7\u5a5a\uff0c\u56e0\u6b64v\u8fd8\u5728u\u7684\u8003\u8651\u8303\u56f4\u4e4b\u4e2d\uff0c\u4ee5\u540e\u4f1a\u5411v\u6c42\u5a5a\u3002\u5230<br \/>\n432 \u56fe\u8bba\u95ee\u9898\u548c\u7b97\u6cd5<br \/>\n\u65f6u\u4f1a\u518d\u6b21\u6709\u914d\u5076\uff0c\u8981\u4e48\u8fd8\u5c06\u88ab\u629b\u5f03\u4e00\u6b21\uff0c\u8981\u4e48\u6700\u540e\u4e0d\u4f1a\u5355\u8eab\uff0c\u65e0\u8bba\u54ea\u79cd\u60c5\u51b5\u90fd\u5c06\u4ea7\u751f<br \/>\n\u77db\u76fe\u3002<br \/>\n\u8fd9\u6837\uff0c\u6211\u4eec\u8bc1\u660e\u4e86\u7b97\u6cd5\u4e00\u5b9a\u5f97\u5230\u7a33\u5b9a\u5339\u914d\u3002\u65f6\u95f4\u590d\u6742\u5ea6\u663e\u7136\u662fO(n2)\uff0c\u56e0\u6b64\u6bcf\u4e2a\u7537<br \/>\n\u58eb\u6700\u591a\u8003\u8651\u6bcf\u4e2a\u5973\u58eb\u5404\u4e00\u6b21\uff0c\u6bcf\u6b21\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u5747\u4e3aO(1)\u3002\u663e\u7136\u8fd9\u5df2\u7ecf\u662f\u65f6\u95f4\u590d\u6742\u5ea6<br \/>\n\u7684\u4e0b\u9650\u4e86\uff0c\u56e0\u4e3a\u8f93\u5165\u662fO(n2)\u7684\u3002<br \/>\n\u5982\u679c\u5b58\u5728\u4e00\u4e2a\u7a33\u5b9a\u5339\u914d\u4f7f\u5f97\u7537\u58ebi\u548c\u5973\u58ebj\u914d\u5bf9\uff0c\u5219\u79f0(i,j)\u662f\u7a33\u5b9a\u5bf9\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u7537<br \/>\n\u58ebi\uff0c\u8bbe\u6240\u6709\u7a33\u5b9a\u5bf9(i,j)\u4e2di \u6700\u559c\u6b22\u7684\u5973\u58eb\u4e3abest(i)\uff0c\u5219\u53ef\u4ee5\u8bc1\u660e\u8fd9\u91cc\u7ed9\u51fa\u7684\u7b97\u6cd5\u5bf9\u8ba9\u6bcf<br \/>\n\u4f4d\u7537\u58ebi\u4e0ebest(i)\u914d\u5bf9\u3002\u5bf9\u4e8e\u6240\u6709\u7537\u58eb\u6765\u8bf4\uff0c\u4e0d\u4f1a\u6709\u6bd4\u8fd9\u66f4\u597d\u7684\u7ed3\u679c\u4e86\uff0c\u800c\u5bf9\u4e8e\u5973\u58eb\u5219<br \/>\n\u6070\u6070\u76f8\u53cd\u2014\u2014\u5bf9\u4e8e\u5979\u4eec\u6765\u8bf4\u4e0d\u4f1a\u6709\u6bd4\u8fd9\u66f4\u7cdf\u7684\u7ed3\u679c\u4e86\u3002<\/span>\n<\/p>\n<p><span style=\"font-size:14px\">=================================================================================================================<\/span><\/p>\n<p><span style=\"font-size:14px\"><br \/>\n<\/span><\/p>\n<p><span style=\"font-size:14px\"><\/span><\/p>\n<pre name=\"code\" class=\"delphi\">Program p3487;\nconst\n   maxn=26;\nvar\n   tt,n,i,j,k:longint;\n   nam:array[1..2,1..maxn] of char;\n   female_like:array['A'..'Z','a'..'z'] of longint;\n   male_like:array['a'..'z',1..maxn] of char;\n\n   a:array['a'..'z'] of char;\n   b:array['A'..'Z'] of char;\n\n   s:string;\n   c:char;\n   q:array[1..maxn*maxn] of char;\n   h,t:longint;\n   now,v:char;\nbegin\n   readln(tt);\n   while (tt&gt;0) do\n   begin\n      fillchar(a,sizeof(a),' ');\n      fillchar(b,sizeof(b),' ');\n      readln(n);\n      for k:=1 to 2 do\n         for i:=1 to n do\n         begin\n            read(nam[k,i]);\n            read(c);\n         end;\n      readln;\n      for i:=1 to n do\n      begin\n         readln(s);\n         for j:=3 to length(s) do male_like[s[1],j-2]:=s[j];\n      end;\n      for i:=1 to n do\n      begin\n         readln(s);\n         for j:=3 to length(s) do female_like[s[1],s[j]]:=n+1-(j-2);\n      end;\n\n      h:=1;t:=n;\n      for i:=1 to n do q[i]:=nam[1,i];\n      while h&lt;=t do\n      begin\n         now:=q[h];\n         for i:=1 to n do\n         begin\n            v:=male_like[now,i];\n            if (b[v]=' ') then\n            begin\n               a[now]:=v;\n               b[v]:=now;\n               break;\n            end;\n            if (female_like[v,b[v]]&lt;female_like[v,now]) then\n            begin\n               inc(t);\n               q[t]:=b[v];\n               a[b[v]]:=' ';\n               a[now]:=v;\n               b[v]:=now;\n               break;\n            end;\n         end;\n         inc(h);\n      end;\n\n\n      for now:='a' to 'z' do if a[now]&lt;&gt;' ' then writeln(now,' ',a[now]);\n      writeln;\n\n\n      dec(tt);\n   end;\n\nend.<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Language: Default The Stable Marriage Problem Time Limi [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[3],"tags":[105],"class_list":["post-288","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-stable_marriage_problem"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>POJ 3487(\u7a33\u5b9a\u5a5a\u59fb\u95ee\u9898) - nike0good<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/nike0good.com\/?p=288\" 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