{"id":286,"date":"2012-11-23T22:37:00","date_gmt":"2012-11-23T14:37:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/191"},"modified":"2012-11-23T22:37:00","modified_gmt":"2012-11-23T14:37:00","slug":"bzoj_2547_hungary_algorithm_-_any_side_processing","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=286","title":{"rendered":"BZOJ 2547(\u5308\u7259\u5229\u7b97\u6cd5-\u4efb\u610f\u8fb9\u7684\u5904\u7406)"},"content":{"rendered":"

<\/p>\n

2547: [Ctsc2002]\u73a9\u5177\u5175<\/h2>\n

Time Limit: <\/span>10 Sec  Memory Limit: <\/span>128 MB
\nSubmit: <\/span>104  Solved: <\/span>50
\n[Submit<\/a>][Status<\/a>][Discuss<\/a>]<\/center><\/p>\n

Description<\/h2>\n
\n

\u5c0f\u660e\u7684\u7238\u7238\u7ed9\u4ed6\u4e70\u4e86\u4e00\u76d2\u73a9\u5177\u5175\uff0c\u5176\u4e2d\u6709<\/span><\/span> K<\/span>\u4e2a\u6b65\u5175\uff0c<\/span><\/span>K<\/span>\u4e2a\u9a91\u5175\u548c\u4e00\u4e2a\u5929\u5175\uff0c\u4e2a\u4e2a\u9ad8\u5927\u5a01\u731b\uff0c\u5f62\u8c61逼\u771f\u3002\u76d2\u5b50\u91cc\u8fd8\u6709\u4e00\u4e2a<\/span><\/span>M*N<\/span>\u68cb\u76d8\uff0c\u6bcf\u4e2a格\u5b50<\/span><\/span>(i,j)<\/span>\u90fd\u6709\u4e00\u4e2a\u9ad8\u5ea6<\/span><\/span>Hij<\/sub><\/span>\uff0c\u5e76\u4e14\u5927\u5f97\u8db3\u4ee5\u5bb9\u7eb3\u6240\u6709\u7684\u73a9\u5177\u5175\u3002\u5c0f\u660e\u628a\u6240\u6709\u7684\u73a9\u5177\u5175\u90fd\u653e\u5230\u68cb\u76d8\u4e0a\u53bb\uff0c\u7a81\u7136\u60f3\u5230\u4e86\u4e00\u79cd\u5f88\u6709\u8da3\u7684\u73a9\u6cd5\uff1a\u4efb\u610f\u6311\u9009<\/span><\/span>T<\/span>\u4e2a\u4e0d\u540c\u7684格\u5b50\uff0c\u5e76\u7ed9\u6bcf\u4e2a格\u5b50<\/span><\/span>i<\/span>\u89c4\u5b9a\u4e00\u4e2a\u91cd\u8981值<\/span><\/span>Ri\u00ad\u00ad<\/sub><\/span>\uff0c\u6e38\u620f\u7684\u76ee\u6807\u5c31\u662f\u6bcf\u6b21\u6cbf\u4e1c\u5357\u897f\u5317\u4e4b\u4e00\u7684\u65b9\u5411\u628a\u4e00\u4e2a\u73a9\u5177\u5175\u79fb\u52a8\u5230\u5176\u76f8\u90bb\u7684格\u5b50\u4e2d\uff08\u4f46\u4e0d\u80fd\u79fb\u52a8\u5230\u68cb\u76d8\u5916\u9762\u53bb\uff09\uff0c\u6700\u7ec8\u4f7f\u5f97\u6bcf\u4e2a\u6311\u9009\u51fa\u7684格\u5b50<\/span><\/span>i<\/span>\u4e0a\u6070\u597d\u6709<\/span><\/span>Ri<\/sub><\/span>\u4e2a\u73a9\u5177\u5175\u3002\u5c0f\u660e\u5e0c\u671b\u6240\u6709\u7684\u73a9\u5177\u5175\u90fd\u5728\u67d0\u4e2a\u9009\u5b9a\u7684格\u5b50\u4e2d\uff0c\u56e0\u6b64\u4ed6\u603b\u662f\u4f7f\u9009\u51fa\u7684<\/span><\/span>T<\/span>\u4e2a格\u5b50\u7684\u91cd\u8981值\u4e4b\u548c\u7b49\u4e8e\u73a9\u5177\u5175\u7684\u4e2a\u6570\u3002\u4e3a\u4e86\u589e\u52a0\u96be\u5ea6\uff0c\u5c0f\u660e\u7ed9\u73a9\u5177\u5175\u4eec\u7684\u79fb\u52a8\u65b9\u5f0f\u505a\u4e86\u4e00\u4e9b\u89c4\u5b9a\uff1a<\/span><\/span><\/span><\/p>\n

\u25cf  <\/span><\/span>\u6b65\u5175\u53ea\u4f1a\u5f80\u9ad8\u5904\u722c\uff0c\u56e0\u6b64\u5982\u679c\u4e24\u4e2a格\u5b50<\/span><\/span>A<\/span>\u548c<\/span><\/span>B<\/span>\u76f8\u90bb\uff0c\u5f53\u4e14\u4ec5\u5f53格\u5b50<\/span><\/span>A<\/span>\u7684\u9ad8\u5ea6\u5c0f\u4e8e\u6216\u7b49\u4e8e<\/span><\/span>B<\/span>\uff0c\u6b65\u5175\u624d\u53ef\u4ee5\u4ece<\/span><\/span>A<\/span>\u79fb\u52a8\u5230<\/span><\/span>B<\/span>\u3002<\/span><\/span><\/span><\/p>\n

\u25cf<\/span>      <\/span><\/span>\u9a91\u5175\u53ea\u4f1a\u5f80\u4f4e\u5904\u8df3\uff0c\u56e0\u6b64\u5982\u679c\u4e24\u4e2a格\u5b50<\/span><\/span>A<\/span>\u548c<\/span><\/span>B<\/span>\u76f8\u90bb\uff0c\u5f53\u4e14\u4ec5\u5f53格\u5b50<\/span><\/span>A<\/span>\u7684\u9ad8\u5ea6\u5927\u4e8e\u6216\u7b49\u4e8e<\/span><\/span>B<\/span>\uff0c\u9a91\u5175\u624d\u53ef\u4ee5\u4ece<\/span><\/span>A<\/span>\u79fb\u52a8\u5230<\/span><\/span>B<\/span>\u3002<\/span><\/span><\/span><\/p>\n

\u25cf<\/span>      <\/span><\/span>\u5929\u5175\u6280\u672f\u5168\u9762\uff0c\u79fb\u52a8\u4e0d\u53d7\u4efb\u4f55\u9650\u5236\u3002<\/span><\/span><\/span><\/p>\n

       <\/span><\/span>\u53ef\u662f\u6ca1\u73a9\u51e0\u6b21\uff0c\u5c0f\u660e\u5c31\u53d1\u73b0\u8fd9\u4e2a<\/span>\u6e38\u620f\u592a\u96be\u4e86\uff0c\u4ed6\u5e38\u5e38\u73a9\u4e86\u597d\u534a\u5929\u4e5f\u8fbe\u4e0d\u5230\u76ee\u7684\u3002\u4e8e\u662f\uff0c\u4ed6\u8bbe\u8ba1\u4e86\u4e00\u79cd\u201c\u8d85\u80fd\u529b\u201d\uff0c<\/span>\u6bcf\u4f7f\u7528\u4e00\u6b21\u8d85\u80fd\u529b\u7684\u65f6\u5019\uff0c\u867d\u7136\u4e0d\u80fd\u79fb\u52a8\u4efb\u4f55\u4e00\u4e2a\u73a9\u5177\u5175\uff0c\u4f46\u53ef\u5bf9\u5b83\u4eec\u8fdb\u884c\u4efb\u610f\u591a\u6b21\u4ea4\u6362\u64cd\u4f5c\uff0c\u6bcf\u6b21\u4ea4\u6362\u4e24\u4e2a\u73a9\u5177\u5175\u3002\u7b49\u8fd9\u6b21\u8d85\u80fd\u529b\u4f7f\u7528\u5b8c\u540e\u53c8\u53ef\u548c\u5e73\u5e38\u4e00\u6837\u7ee7\u7eed\u79fb\u52a8\u8fd9\u4e9b\u73a9\u5177\u5175\u3002\u501f\u52a9\u5f3a\u5927\u7684\u8d85\u80fd\u529b\uff0c\u8fd9\u4e2a\u6e38\u620f\u662f\u5bb9\u6613\u73a9\u901a\u7684\uff0c\u4f46\u662f\u600e\u6837\u624d\u80fd\u8ba9\u4f7f\u7528\u8d85\u80fd\u529b\u7684\u6b21\u6570\u6700\u5c11\u5462\uff1f<\/span><\/span><\/span><\/p>\n

 <\/span><\/span><\/strong><\/p>\n<\/p>\n<\/div>\n

Input<\/h2>\n
\n

\u7b2c\u4e00\u884c\u5305\u542b\u56db\u4e2a\u6574\u6570\uff1a<\/span><\/span>M,N,K,T (2<=M,N<=100, 1<=K<=50, 1<=T<=2K+1)<\/span><\/span><\/p>\n

    <\/span>\u7b2c\u4e8c\u884c\u5305\u62ec<\/span><\/span>2K+1<\/span>\u4e2a\u6570\u5bf9<\/span><\/span>(xi<\/sub>,yi<\/sub>)<\/span>\uff0c\u4ee3\u8868\u5404\u4e2a\u73a9\u5177\u5175\u7684\u521d\u59cb\u4f4d\u7f6e\u3002\u524d<\/span><\/span>K<\/span>\u4e2a\u4ee3\u8868<\/span>\u6b65<\/span>\u5175\uff0c\u63a5\u4e0b\u6765\u7684<\/span><\/span>K<\/span>\u4e2a\u4ee3\u8868<\/span>\u9a91\u5175<\/span>\uff0c\u6700\u540e\u4e00\u4e2a\u4ee3\u8868<\/span>\u5929<\/span>\u5175\u3002<\/span><\/span><\/span><\/p>\n

    <\/span>\u7b2c\u4e09\u884c\u5305\u542b<\/span><\/span>T<\/span>\u4e2a\u4e09\u5143\u7ec4<\/span><\/span>(xi<\/sub>,yi<\/sub>,ri<\/sub>)<\/span>\uff0c\u7b2c<\/span><\/span>i<\/span>\u7ec4\u4ee3\u8868\u7b2c<\/span><\/span>i<\/span>\u4e2a\u76ee\u6807格\u7684\u4f4d\u7f6e\u548c\u91cd\u8981值\u3002<\/span><\/span><\/span><\/p>\n

        <\/span><\/span>\u4ee5\u4e0b<\/span><\/span>M<\/span>\u884c\uff0c\u6bcf\u884c<\/span><\/span>N<\/span>\u4e2a\u6574\u6570\u3002\u5176\u4e2d\u7b2c<\/span><\/span>i<\/span>\u884c\u7b2c<\/span><\/span>j<\/span>\u4e2a\u6570\u4e3a\u5373格\u5b50\u7684\u9ad8\u5ea6<\/span><\/span>Hij<\/sub><\/span>\u3002\u9ad8\u5ea6\u662f\u4e0d\u8d85\u8fc7<\/span><\/span>100<\/span>\u7684\u6b63\u6574\u6570\uff0c\u6ce8\u610f\uff1a\u4e0d\u540c\u73a9\u5177\u5175\u7684\u521d\u59cb\u4f4d\u7f6e\u53ef\u80fd\u76f8\u540c\u3002\u8f93\u5165\u6570\u636e\u4fdd\u8bc1\u65e0\u9519\uff0c\u9009\u5b9a\u7684<\/span><\/span>T<\/span>\u4e2a格\u5b50\u7684\u91cd\u8981值\u4e4b\u548c\u4fdd\u8bc1\u7b49\u4e8e<\/span><\/span>2K+1<\/span>\u3002<\/span><\/span><\/p>\n

<\/span><\/span><\/span><\/p>\n<\/div>\n

Output<\/h2>\n
\n

\u4ec5\u5305\u542b\u4e00\u884c\uff0c\u5373\u4f7f\u7528\u8d85\u80fd\u529b\u7684\u6700\u5c0f\u6b21\u6570<\/span><\/span>T<\/span>\u3002<\/span><\/span><\/p>\n<\/div>\n

Sample Input<\/h2>\n
\n4 6 2 5

\n1 1 1 5 4 1 4 5 3 3

\n1 2 1 2 6 1 3 2 1 3 6 1 4 3 1

\n3 2 6 1 3 5

\n2 1 7 4 4 6

\n2 3 1 4 3 4

\n4 3 4 3 2 3

\n<\/span><\/div>\n

Sample Output<\/h2>\n
\n1<\/span><\/div>\n

\n<\/h2>\n
\u5148\u6765\u5206\u6790\u4e00\u4e0b\u8fd9\u4e2a\u95ee\u9898\u3002<\/span><\/div>\n
1.\u663e\u7136\u5929\u5175\u7684\u521d\u59cb\u4f4d\u7f6e\u4e0d\u91cd\u8981\u3002<\/span><\/div>\n
2.\u6700\u574f\u60c5\u51b5\u4e0d\u65ad\u4f7f\u7528\u5929\u5175\uff0c2*k\u6b21\u4fbf\u80fd\u89e3\u51b3.<\/span><\/div>\n

\n<\/span><\/div>\n
\u4e0d\u59a8\u5047\u8bbe\u4e0d\u5b58\u5728\u5929\u5175\uff1a<\/span><\/div>\n
1.\u6211\u4eec\u628a\u8c03\u6362\u4f4d\u7f6e-\u6539\u4e3a\u8c03\u6362\u5175\u79cd\uff08\u663e\u7136\u6210\u7acb\uff09\uff0c\u90a3\u4e48\u4e00\u4e2a\u68cb\u5b50\u4e00\u5b9a\u8c03\u6362\uff08\u5426\u5219\u79fb\u5230\u9700\u8981\u7684\u4f4d\u7f6e\u8c03\u6362\uff09.<\/span><\/div>\n
2.\u663e\u7136\u5982\u679c\u6211\u6709\u786e\u5b9a\u7684\u2018\u8d85\u80fd\u529b\u2019\u6b21\u6570\uff0c\u90a3\u4e48\u4efb\u4f55\u4e00\u4e2a\u68cb\u5b50\u6240\u80fd\u5230\u8fbe\u7684\u5730\u65b9\u6709\u9650\uff08bfs\uff09\u3002<\/span><\/div>\n
3.\u663e\u7136\u6211\u4eec\u53ef\u4ee5\u5224\u65ad1\u4e2a\u68cb\u5b50\u5728\u8d85\u80fd\u529b\u6b65\u6570\u5185\u5fc5\u987b\u5230\u8fbe\u53e6\u4e00\u4e2a\u68cb\u5b50\uff08\u5c31\u662f\u8fd9\u4e2a\u68cb\u5b50\uff0c\u65e0\u8bba\u600e\u4e48\u8c03\u6362\u5175\u79cd\uff09.<\/span><\/div>\n
\u95ee\u662f\u5426\u662f\u5408\u6cd5\u65b9\u6848   <\/span><\/div>\n
\u90a3\u4e48\u8fd9\u5c31\u662f\u4e00\u4e2a\u4e8c\u5206\u56fe\u5339\u914d\uff0c\u5fc5\u987b\u5b8c\u5168\u5339\u914d\u3002<\/span><\/div>\n

\n<\/span><\/div>\n
\u5929\u5175\u7684\u610f\u4e49<\/span><\/div>\n
1.\u663e\u7136\u4e00\u4e2a\u5929\u5175\u53ef\u4ee5\u5728\u68cb\u76d8\u4e0a\u968f\u4fbf\u8d70\uff0c\u5728\u6bcf\u6b21\u8c03\u6362\u65f6\uff0c\u627e\u4e00\u4e2a\u68cb\u5b50\u628a\u5b83\u632a\u5230\u76ee\u7684\u5730<\/span><\/div>\n
   \u8fd9\u76f8\u5f53\u4e8e\u5728\u4e8c\u5206\u56fe\u4e0a\u4efb\u610f\u586b\u2018\u8d85\u80fd\u529b\u6b21\u6570\u2019\u6761\u8fb9\u3002<\/span><\/div>\n
\u6545\u5148\u7b97\u51fa\u6700\u5927\u5339\u914d\u6570\uff0c\u518d+\u8d85\u80fd\u529b\u6570\uff0c\u53ef\u4ee5\u5f97\u5230\u6700\u4f18\u65b9\u6848<\/span><\/div>\n

\n<\/span><\/div>\n
\u6a21\u578b\u5efa\u6bd5\uff1a<\/span><\/div>\n

\n<\/span><\/div>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstring>\n#include<cstdlib>\n#include<cmath>\n#include<cctype>\n#include<iostream>\n#include<functional>\n#include<algorithm>\n#include<queue>\nusing namespace std;\n#define MAXN (100+10)\n#define MAXM (100+10)\n#define MAXK (100+10)\n#define MAXT (100+1+10)\n#define COST (bool(type)^(f[x][y]&1))?(h[x][y]<h[x+path[i][0]][y+path[i][1]]):(h[x][y]>h[x+path[i][0]][y+path[i][1]])\nconst int path[4][2]={{0,1},{1,0},{-1,0},{0,-1}};\nint n,m,k,t,h[MAXM][MAXN],f[MAXM][MAXN];\nqueue< pair<int,int> > q;\nbool inside(int x,int y)\n{\n\tif (1<=x&&x<=m&&1<=y&&y<=n) {\/*cout<<'A'<<x<<' '<<y<<endl;*\/ return 1;}else return 0;\n}\nvoid bfs(bool type,int x,int y)  \/\/type-> 0 upper 1 lower\n{\n\tmemset(f,127,sizeof(f));\n\tf[x][y]=0;\n\tq.push(make_pair(x,y));\n\twhile (!q.empty())\n\t{\n\t\tpair<int ,int> now=q.front();\n\t\tint &x=now.first,&y=now.second;\n\t\tfor (int i=0;i<4;i++)\n\t\t{\n\t\t\tint c=COST;\n\t\t\tif (inside(x+path[i][0],y+path[i][1]))\n\t\t\t\tif (f[x+path[i][0]][y+path[i][1]]>f[x][y]+c)\n\t\t\t{\n\t\t\/\/\t\tcout<<(x+path[i][0])<<' '<<(y+path[i][1])<<endl;\n\t\t\t\tf[x+path[i][0]][y+path[i][1]]=f[x][y]+c;\n\t\t\t\tq.push(make_pair(x+path[i][0],y+path[i][1]));\n\t\t\t}\n\t\t}\n\t\tq.pop();\n\t}\n}\npair<int,int> A[MAXT],B[MAXT];\nint cost[MAXK][MAXT],a[MAXT];\nbool b[MAXT];\nbool find(int x,int maxcost)\n{\n\tfor (int i=1;i<=2*k+1;i++)\n\t\tif (!b[i]&&cost[x][i]<=maxcost)\n\t\t{\n\t\t\tb[i]=1;\n\t\t\tif (a[i]==0) {a[i]=x;return 1;\t}\n\t\t\tif (find(a[i],maxcost)) {a[i]=x; return 1;\t}\n\t\t}\n\treturn 0;\n}\nint hopcroft(int maxcost)\n{\n\tmemset(a,0,sizeof(a));\n\tint ans=0;\n\tfor (int i=1;i<=2*k;i++)\n\t{\n\t\tmemset(b,0,sizeof(b));\n\t\tif (find(i,maxcost)) ans++;\n\t}\n\/\/\tcout<<ans<<endl;\n\treturn ans;\n}\nint b_search()\n{\n\tint l=0,r=2*k;\n\twhile (l<r)\n\t{\n\t\tm=(l+r)>>1;\n\t\tif (hopcroft(m)+m>=2*k) r=m;\n\t\telse l=m+1;\n\t}\n\treturn l;\n}\nint main()\n{\n\/\/\tfreopen("2547.in","r",stdin);\n\tscanf("%d%d%d%d",&m,&n,&k,&t);\n\tfor (int i=1;i<=2*k+1;i++) scanf("%d%d",&A[i].first,&A[i].second);\n\tint size=1;\n\tfor (int i=1;i<=t;i++)\n\t{\n\t\tint r;\n\t\tscanf("%d%d%d",&B[size].first,&B[size].second,&r);\n\t\tsize++;\n\t\tfor (r--;r;r--,size++) B[size]=B[size-1];\n\t}\n\tfor (int i=1;i<=m;i++)\n\t\tfor (int j=1;j<=n;j++)\n\t\t\tscanf("%d",&h[i][j]);\n\n\/*\tbfs(1,1,2);\n\tfor (int i=1;i<=m;i++)\n\t{\n\t\tfor (int j=1;j<=n;j++) cout<<f[i][j]<<' ';\n\t\tcout<<'n';\n\t}\n*\/\n\tfor (int i=1;i<=2*k;i++)\n\t{\n\t\tbfs((i>k),A[i].first,A[i].second);\n\t\tfor (int j=1;j<=2*k+1;j++)\n\t\t{\n\t\t\tcost[i][j]=f[B[j].first][B[j].second];\n\/\/\t\t\tcout<<i<<' '<<j<<' '<<cost[i][j]<<endl;\n\t\t}\n\t}\n\n\tcout<<b_search()<<endl;\n\n\n\treturn 0;\n}<\/pre>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
2547: [Ctsc2002]\u73a9\u5177\u5175 Time Limit: 10 Sec   […]<\/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-286","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-hungarian_algorithm"],"yoast_head":"\nBZOJ 2547(\u5308\u7259\u5229\u7b97\u6cd5-\u4efb\u610f\u8fb9\u7684\u5904\u7406) - 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=286\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"BZOJ 2547(\u5308\u7259\u5229\u7b97\u6cd5-\u4efb\u610f\u8fb9\u7684\u5904\u7406) - 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