HDU——T 2444 The Accomodation of Students
阿新 • • 發佈:2017-08-26
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Now you are given all pairs of students who know each other. Your task is to divide the students into two groups so that any two students in the same group don‘t know each other.If this goal can be achieved, then arrange them into double rooms. Remember, only paris appearing in the previous given set can live in the same room, which means only known students can live in the same room.
Calculate the maximum number of pairs that can be arranged into these double rooms.
The first line gives two integers, n and m(1<n<=200), indicating there are n students and m pairs of students who know each other. The next m lines give such pairs.
Proceed to the end of file.
http://acm.hdu.edu.cn/showproblem.php?pid=2444
Time Limit: 5000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 7087 Accepted Submission(s): 3168
Now you are given all pairs of students who know each other. Your task is to divide the students into two groups so that any two students in the same group don‘t know each other.If this goal can be achieved, then arrange them into double rooms. Remember, only paris appearing in the previous given set can live in the same room, which means only known students can live in the same room.
Calculate the maximum number of pairs that can be arranged into these double rooms.
Input For each data set:
The first line gives two integers, n and m(1<n<=200), indicating there are n students and m pairs of students who know each other. The next m lines give such pairs.
Proceed to the end of file.
Output If these students cannot be divided into two groups, print "No". Otherwise, print the maximum number of pairs that can be arranged in those rooms.
Sample Input 4 4 1 2 1 3 1 4 2 3 6 5 1 2 1 3 1 4 2 5 3 6
Sample Output No 3
Source 2008 Asia Harbin Regional Contest Online
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1 #include <algorithm> 2 #include <cstring> 3 #include <cstdio> 4 #include <queue> 5 6 using namespace std; 7 8 const int N(233); 9 int n,m,head[N],sumedge; 10 struct Edge 11 { 12 int v,next; 13 Edge(int v=0,int next=0):v(v),next(next){} 14 }edge[233333]; 15 inline void ins(int u,int v) 16 { 17 edge[++sumedge]=Edge(v,head[u]); 18 head[u]=sumedge; 19 edge[++sumedge]=Edge(u,head[v]); 20 head[v]=sumedge; 21 } 22 23 int col[N]; 24 bool Paint(int x) 25 { 26 col[x]=0; 27 queue<int>que; 28 que.push(x); 29 for(int u,v;!que.empty();) 30 { 31 u=que.front(); que.pop(); 32 for(int i=head[u];i;i=edge[i].next) 33 { 34 v=edge[i].v; 35 if(col[v]!=-1) 36 { 37 if(col[v]==col[u]) 38 return false; 39 } 40 else 41 { 42 col[v]=col[u]^1; 43 que.push(v); 44 } 45 } 46 } 47 return true; 48 } 49 50 int sumvis,vis[N],match[N],Map[N][N]; 51 bool find(int u) 52 { 53 /*for(int v,i=head[i];i;i=edge[i].next) 54 { 55 v=edge[i].v; 56 if(!vis[v]) 57 { 58 vis[v]=1; 59 if(!match[v]||find(match[v])) 60 { 61 match[v]=u; 62 return true; 63 } 64 } 65 }*/ 66 for(int v=1;v<=n;v++) 67 if(Map[u][v]&&!vis[v]) 68 { 69 vis[v]=1; 70 if(!match[v]||find(match[v])) 71 { 72 match[v]=u; 73 return true; 74 } 75 } 76 return false; 77 } 78 79 inline void init() 80 { 81 memset(edge,0,sizeof(edge)); 82 memset(head,0,sizeof(head)); 83 memset(match,0,sizeof(match)); 84 } 85 86 int main() 87 { 88 for(;~scanf("%d%d",&n,&m);init()) 89 { 90 int ans=0,flag=0;sumvis=0; 91 memset(Map,0,sizeof(Map)); 92 for(int u,v;m--;ins(u,v)) 93 scanf("%d%d",&u,&v),Map[u][v]=1; 94 memset(col,-1,sizeof(col)); 95 for(int i=1;i<=n;i++) 96 if(col[i]==-1) 97 if(!Paint(i)) 98 { 99 flag=1; 100 break; 101 } 102 if(flag) 103 { 104 puts("No"); 105 continue; 106 } 107 for(int i=1;i<=n;i++) 108 { 109 if(find(i)) ans++; 110 memset(vis,0,sizeof(vis)); 111 } 112 printf("%d\n",ans); 113 } 114 return 0; 115 }
HDU——T 2444 The Accomodation of Students