{"id":367,"date":"2013-03-25T15:45:00","date_gmt":"2013-03-25T07:45:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/271"},"modified":"2013-03-25T15:45:00","modified_gmt":"2013-03-25T07:45:00","slug":"ch_white_day_1_2_the_first_day-km_algorithm","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=367","title":{"rendered":"CH \u767d\u8272\u60c5\u4eba\u82821(\u2461\u7b2c\u4e00\u5929-KM\u7b97\u6cd5)"},"content":{"rendered":"<div style=\"color:rgb(51,51,51); font-family:\u5fae\u8f6f\u96c5\u9ed1,'Microsoft YaHei','WenQuanYi Micro Hei',\u5b8b\u4f53; font-size:14px; line-height:20px; background-color:rgb(240,240,240); width:980px\">\n<h4 style=\"margin:10px 0px; font-family:inherit; color:inherit; font-size:18px\">\u80cc\u666f<\/h4>\n<div style=\"padding-left:10px\">\u4e0b\u8fc7\u96e8\u7684\u590f\u5929\u508d\u665a \u6211\u90fd\u4f1a\u671f\u5f85<br \/>\n\u5531\u6b4c\u7684\u8749 \u563f \u628a\u661f\u661f\u90fd\u5435\u9192 \u6708\u5149\u6652\u4e86\u5f88\u51c9\u5feb<br \/>\n\u5c31\u662f\u8fd9\u6837\u56de\u5fc6\u8d77\u6765 \u7b2c\u4e00\u6b21\u544a\u767d<br \/>\n\u5c34\u5c2c\u7684\u6211 \u770b \u7231\u88c5\u5f97\u5f88\u54f2\u5b66\u7684\u4f60\u5176\u5b9e\u5f88\u53ef\u7231<br \/>\n\u4f60\u8bf4\u6d3b\u5728\u660e\u5929 \u6d3b\u5728\u671f\u5f85 \u4e0d\u5982\u6d3b\u5f97\u4eca\u5929\u5f88\u81ea\u5728<br \/>\n\u6211\u8bf4\u6211\u61c2\u4e86 \u4f1a\u4e0d\u4f1a\u592a\u5feb \u672a\u6765 \u7b2c\u4e00\u5929\u8981\u5c55\u5f00<\/div>\n<h4 style=\"margin:10px 0px; font-family:inherit; color:inherit; font-size:18px\">\u63cf\u8ff0<\/h4>\n<div style=\"padding-left:10px\">\u65f6\u95f4\u56de\u6eaf\u5230\u7537\u5973\u4e3b\u8ba4\u8bc6\u7684\u7b2c\u4e00\u5929\u2014\u2014\u5973\u4e3b\u540c\u5b66\u4e3e\u529e\u7684\u8054\u8c0a\u4f1a\uff0c\u7537\u4e3b\u8fdf\u5230\u4e86\u90a3\u5929\u7684\u8054\u8c0a\u4f1a\uff0c\u800c\u7537\u4e3b\u5230\u8fbe\u73b0\u573a\u65f6\u5973\u4e3b\u4e5f\u521a\u597d\u6ca1\u6709\u7537\u4f34\uff0c\u8fd9\u5c31\u662f\u4ed6\u4eec\u7684\u7b2c\u4e00\u6b21\u76f8\u9047\u3002<\/div>\n<div style=\"padding-left:10px\">\u7537\u4e3b\u56de\u60f3\u8d77\u6765\u4e0d\u7981\u4e00\u9635\u611f\u6168(\u4e3a\u5565\u8fd9\u4e48\u597d\u7684\u59b9\u5b50\u4f60\u4eec\u90fd\u4e0d\u642d\u8baa\u5462)\uff0c\u7a81\u7136\u7537\u4e3b\u60f3\u5230\uff0c\u5982\u679c\u5f53\u65f6<strong>\u5df2\u7ecf\u914d\u5bf9\u7684n\u5bf9\u7537\u5973\u597d\u611f&#20540;\u4e4b\u548c<\/strong>\u4e0d\u662f<strong>\u6700\u5927<\/strong>\uff0c\u4f1a\u4e0d\u4f1a\u81ea\u5df1\u5c31\u9047\u4e0d\u4e0a\u5973\u4e3b\u4e86\u5462\uff1f<\/div>\n<h4 style=\"margin:10px 0px; font-family:inherit; color:inherit; font-size:18px\">\u8f93\u5165&#26684;\u5f0f<\/h4>\n<div style=\"padding-left:10px\">\u7b2c\u4e00\u884c\u4e24\u4e2a\u6b63\u6574\u6570n\u548cqueen\uff0c\u8868\u793a\u5df2\u6709n\u5bf9\u7537\u5973\u53ef\u4ee5\u914d\u5bf9\u548c\u5973\u4e3b\u7684\u7f16\u53f7queen\u3002(\u7537\u7f16\u53f7\u4e3aX<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">1<\/sub>~X<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">n<\/sub>\uff0c\u5973\u7f16\u53f7\u4e3aY<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">1<\/sub>~Y<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">n&#43;1<\/sub>)<\/div>\n<div style=\"padding-left:10px\">\u63a5\u4e0b\u6765n*(n&#43;1)\u884c\uff0c\u6bcf\u884c\u4e09\u4e2a\u6b63\u6574\u6570X<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>\uff0cY<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>\uff0cZ<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>\uff0c\u8868\u793a\u7537X<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>\u5973Y<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>\u4e4b\u95f4\u7684\u597d\u611f\u5ea6\u4e3aZ<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>\uff0c<strong>\u4fdd\u8bc1\u6bcf\u5bf9(X<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>,Y<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>)\u6ca1\u6709\u91cd\u590d\uff0c\u5373\u4e24\u4eba\u7684\u5173\u7cfb\u81f3\u591a\u4e00\u6761<\/strong>\u3002<\/div>\n<div style=\"padding-left:10px\"><strong>\u4e0d\u5b58\u5728\u7537\u4e0e\u7537\u3001\u5973\u4e0e\u5973\u4e4b\u95f4\u7684\u597d\u611f\u5ea6\uff01<\/strong><\/div>\n<h4 style=\"margin:10px 0px; font-family:inherit; color:inherit; font-size:18px\">\u8f93\u51fa&#26684;\u5f0f<\/h4>\n<div style=\"padding-left:10px\">\u524dn\u884c\u8f93\u51fa\u8054\u8c0a\u4f1a\u4e0an\u5bf9\u7537\u5973\u7684\u914d\u5bf9\u60c5\u51b5<strong>(\u4f1a\u591a\u51fa\u6765\u4e00\u540d\u5973\u751f)<\/strong>\uff0c\u6bcf\u884c\u4e24\u4e2a\u6b63\u6574\u6570X<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>\u548cY<sub style=\"position:relative; font-size:12px; line-height:0; vertical-align:baseline; bottom:-0.25em\">i<\/sub>(\u7a7a&#26684;\u9694\u5f00)\uff0c\u4efb\u610f\u4e00\u79cd\u7b26\u5408\u6761\u4ef6\u7684\u65b9\u6848\u5747\u53ef\u3002<\/div>\n<div style=\"padding-left:10px\">\u7b2cn&#43;1\u884c\uff0c<strong>\u5bf9\u4e8e\u4f60\u8f93\u51fa\u7684\u65b9\u6848<\/strong>\uff0c\u5982\u679c\u5973\u4e3b\u672a\u914d\u5bf9\uff0c\u8f93\u51fa&quot;YES&quot;(\u4e0d\u542b\u5f15\u53f7)\uff0c\u8868\u793a\u5973\u4e3b\u4f1a\u9047\u5230\u7537\u4e3b\uff0c\u5426\u5219\u8f93\u51fa&quot;NO&quot;(\u4e0d\u542b\u5f15\u53f7)\u3002<\/div>\n<h4 style=\"margin:10px 0px; font-family:inherit; color:inherit; font-size:18px\">\u6837\u4f8b\u8f93\u5165<\/h4>\n<pre style=\"padding:9.5px; font-family:Monaco,Menlo,Consolas,'Courier New',monospace; font-size:13px; margin-top:0px; margin-bottom:10px; margin-left:10px; word-break:break-all; word-wrap:break-word; white-space:pre-wrap; background-color:rgb(245,245,245)\">2 3\n1 1 15\n1 2 20\n1 3 17\n2 1 22\n2 2 14\n2 3 14\n\n<\/pre>\n<h4 style=\"margin:10px 0px; font-family:inherit; color:inherit; font-size:18px\">\u6837\u4f8b\u8f93\u51fa<\/h4>\n<pre style=\"padding:9.5px; font-family:Monaco,Menlo,Consolas,'Courier New',monospace; font-size:13px; margin-top:0px; margin-bottom:10px; margin-left:10px; word-break:break-all; word-wrap:break-word; white-space:pre-wrap; background-color:rgb(245,245,245)\">1 2\n2 1\nYES\n\n<\/pre>\n<h4 style=\"margin:10px 0px; font-family:inherit; color:inherit; font-size:18px\">\u6570\u636e\u8303\u56f4\u4e0e\u7ea6\u5b9a<\/h4>\n<div style=\"padding-left:10px\">\u5bf9\u4e8e100%\u7684\u6570\u636e\uff0c<img decoding=\"async\" alt=\"1leq nleq 520,1leq Z_{i}leq 201314\" src=\"http:\/\/latex.codecogs.com\/gif.latex?1leq&space;nleq&space;520,1leq&space;Z_{i}leq&space;201314\" style=\"height:auto; max-width:100%; vertical-align:middle; border:0px\" \/>\u3002<\/div>\n<h4 style=\"margin:10px 0px; font-family:inherit; color:inherit; font-size:18px\">\u6837\u4f8b\u89e3\u91ca<\/h4>\n<div style=\"padding-left:10px\"><img decoding=\"async\" src=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364197373_3533.png\" alt=\"\" \/>\u5982\u56fe\uff0c\u5df2\u7ecf\u914d\u5bf9\u7684\u5173\u7cfb\u6709\u662f<strong>\u75371\u53f7\u59732\u53f7<\/strong>\u548c<strong>\u75372\u53f7\u59731\u53f7<\/strong>\u3002<\/div>\n<h4 style=\"margin:10px 0px; font-family:inherit; color:inherit; font-size:18px\">\u6765\u6e90<\/h4>\n<div style=\"padding-left:10px\">*****\u5173\u7cfb~<\/div>\n<\/div>\n<p>\n<\/p>\n<p><span style=\"font-size:14px\">km\u7b97\u6cd5<\/span><\/p>\n<p><span style=\"font-size:14px\">\u5c31\u662f\u4e8c\u5206\u56fe\u5339\u914d\u65f6\u7ef4\u62a4lx[i],ly[i]<\/span><\/p>\n<p><span style=\"font-size:14px\">\u6ee1\u8db3<\/span><\/p>\n<p><span style=\"font-size:14px\">1.\u5bf9\u4e8e\u4efb\u610f\u8fb9lx[i]&#43;ly[i]&gt;=w[i,j]<\/span><\/p>\n<p><span style=\"font-size:14px\">2.\u5982\u679c\u5b58\u5728\u4e00\u7ec4\u5339\u914d\uff0c\u5176\u4e2d\u4efb\u610f\u8fb9\u6ee1\u8db3lx[i]&#43;ly[i]=w[i,j]\uff0c\u5b83\u4e00\u5b9a\u662f\u6700\u5927\u5339\u914d\uff08\u5982\u679c\u968f\u610f\u8c03\u6362\u4e00\u8fb9\uff0c\u5fc5\u7136\u51fa\u73b0lx[i]&#43;ly[j]&#43;lx[i']&#43;ly[j']=w[i,j]&#43;w[i',j']\u2265w[i,j']&#43;w[i',j]<\/span><\/p>\n<p><span style=\"font-size:14px\">\u4e8e\u662f\u6bcf\u6b21\u627e\u51faslock\uff0c\u8868\u793a\u5bf9\u6240\u6709\u627e\u8fc7\u7684i,\u4e0d\u4e3a0\u7684min(lx[i]&#43;ly[j]-w[i,j])<\/span><\/p>\n<p><span style=\"font-size:14px\">\u628aslock\u7684&#20540;\u4ece\u5de6\u79fb\u81f3\u53f3\uff0c\u65e2\u4e0d\u6539\u53d8\u539f\u56fe\u80fd\u8d70\u7684\u8fb9\uff0c\u53c8\u80fd\u4f7f\u56fe\u5f97\u5230\u6269\u5145\u3002<\/span><\/p>\n<p><span style=\"font-size:14px\">\/\/\u4e00\u5f00\u59cb\u5e94\u8be5\u628alx[i]\u8bbe\u6210max(w[i,j],0),ly[i]\u8bbe\u62100<\/span><\/p>\n<p><span style=\"font-size:14px\">\u6bcf\u6b21\u6269\u5145\u5fc5\u987b\u4fdd\u8bc1\u56fe\u4e2d\u7684\u8fb9\u6ee1\u8db3<span style=\"font-size:14px\">lx[i]&#43;ly[i]=w[i,j]\uff0c\u5426\u5219\u7528slock\u6269\u5145<\/span><\/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=\"cpp\">#include&lt;cstdio&gt;\n#include&lt;cstring&gt;\n#include&lt;cstdlib&gt;\n#include&lt;iostream&gt;\n#include&lt;functional&gt;\nusing namespace std;\n#define INF (100000000)\n#define MAXN (520+10)\n#define MAXWi (201314)\nint n,m,yi,slack;\nint w[MAXN][MAXN],lx[MAXN],ly[MAXN],a[MAXN];\/\/a=?-&gt;yi\nbool vx[MAXN],vy[MAXN];\nbool find(int x)\n{\n\tvx[x]=1;\n\tfor (int i=1;i&lt;=m;i++)\n\t\tif (!vy[i])\n\t\t{\n\t\t\tint t=lx[x]+ly[i]-w[x][i];\n\t\t\tif (t==0)\n\t\t\t{\n\t\t\t\tvy[i]=1;\n\t\t\t\tif (a[i]==0||find(a[i])) {a[i]=x;return 1;}\n\t\t\t}else slack=min(slack,t);\n\t\t}\n\treturn 0;\n}\nint main()\n{\n\/\/\tfreopen(&quot;input&quot;,&quot;r&quot;,stdin);\n\tscanf(&quot;%d%d&quot;,&amp;n,&amp;yi);m=n+1;\n\tmemset(lx,0,sizeof(lx));\n\tmemset(ly,0,sizeof(ly));\n\tmemset(a,0,sizeof(a));\n\tfor (int i=1;i&lt;=n*(n+1);i++)\n\t{\n\t\tint u,v,wei;scanf(&quot;%d%d%d&quot;,&amp;u,&amp;v,&amp;wei);w[u][v]=wei;\n\t\tlx[u]=max(lx[u],wei);\n\t}\n\tfor (int i=1;i&lt;=n;i++)\n\t{\n\t\tmemset(vx,0,sizeof vx);\n\t\tmemset(vy,0,sizeof vy);\n\t\tslack=INF;\n\t\twhile (!find(i))\n\t\t{\n\t\t\tfor (int j=1;j&lt;=n;j++) if (vx[j]) lx[j]-=slack;\n\t\t\tfor (int j=1;j&lt;=m;j++) if (vy[j]) ly[j]+=slack;\n\t\t\tmemset(vx,0,sizeof vx);\n\t\t\tmemset(vy,0,sizeof vy);\n\t\t\tslack=INF;\n\t\t\/\/\tfind(i);\n\t\t}\n\t}\n\tfor (int i=1;i&lt;=m;i++)\n\t{\n\t\tif (a[i]) printf(&quot;%d %dn&quot;,a[i],i);\n\t}\n\tif (a[yi]) printf(&quot;NOn&quot;);\n\telse printf(&quot;YESn&quot;);\n\treturn 0;\n}<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u80cc\u666f \u4e0b\u8fc7\u96e8\u7684\u590f\u5929\u508d\u665a \u6211\u90fd\u4f1a\u671f\u5f85 \u5531\u6b4c\u7684\u8749 \u563f \u628a\u661f\u661f\u90fd\u5435\u9192 \u6708\u5149\u6652\u4e86\u5f88\u51c9\u5feb \u5c31\u662f\u8fd9\u6837\u56de\u5fc6\u8d77\u6765 \u7b2c\u4e00\u6b21\u544a\u767d  [&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":[59],"class_list":["post-367","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-hungarian_algorithm"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>CH \u767d\u8272\u60c5\u4eba\u82821(\u2461\u7b2c\u4e00\u5929-KM\u7b97\u6cd5) - 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=367\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"CH \u767d\u8272\u60c5\u4eba\u82821(\u2461\u7b2c\u4e00\u5929-KM\u7b97\u6cd5) - nike0good\" \/>\n<meta property=\"og:description\" content=\"\u80cc\u666f \u4e0b\u8fc7\u96e8\u7684\u590f\u5929\u508d\u665a \u6211\u90fd\u4f1a\u671f\u5f85 \u5531\u6b4c\u7684\u8749 \u563f \u628a\u661f\u661f\u90fd\u5435\u9192 \u6708\u5149\u6652\u4e86\u5f88\u51c9\u5feb \u5c31\u662f\u8fd9\u6837\u56de\u5fc6\u8d77\u6765 \u7b2c\u4e00\u6b21\u544a\u767d [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=367\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2013-03-25T07:45:00+00:00\" \/>\n<meta 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