Description
Cows are such finicky eaters. Each cow has a preference for certain foods and drinks, and she will consume no others.
Farmer John has cooked fabulous meals for his cows, but he forgot to check his menu against their preferences. Although he might not be able to stuff everybody, he wants to give a complete meal of both food and drink to as many cows as possible.
Farmer John has cooked F (1 ≤ F ≤ 100) types of foods and prepared D (1 ≤ D ≤ 100) types of drinks. Each of his N (1 ≤ N ≤ 100) cows has decided whether she is willing to eat a particular food or drink a particular drink. Farmer John must assign a food type and a drink type to each cow to maximize the number of cows who get both.
Each dish or drink can only be consumed by one cow (i.e., once food type 2 is assigned to a cow, no other cow can be assigned food type 2).
Input
Lines 2.. N+1: Each line i starts with a two integers Fi and Di, the number of dishes that cow i likes and the number of drinks that cow i likes. The next Fi integers denote the dishes that cow i will eat, and the Di integers following that denote the drinks that cow i will drink.
Output
Sample Input
4 3 3 2 2 1 2 3 1 2 2 2 3 1 2 2 2 1 3 1 2 2 1 1 3 3
Sample Output
3
Hint
Cow 1: no meal
Cow 2: Food #2, Drink #2
Cow 3: Food #1, Drink #1
Cow 4: Food #3, Drink #3
The pigeon-hole principle tells us we can do no better since there are only three kinds of food or drink. Other test data sets are more challenging, of course.
#include<cstdio> #include<cstring> #include<algorithm> #include<vector> #include<string> #include<iostream> #include<queue> #include<cmath> #include<map> #include<stack> #include<bitset> using namespace std; #define REPF( i , a , b ) for ( int i = a ; i <= b ; ++ i ) #define REP( i , n ) for ( int i = 0 ; i < n ; ++ i ) #define CLEAR( a , x ) memset ( a , x , sizeof a ) typedef long long LL; typedef pair<int,int>pil; const int mod = 1000000007; const int INF=0x3f3f3f3f; const int maxn=440; int mp[maxn][maxn]; int dis[maxn],q[maxn]; int n,f,d,N,maxflow,s,t; bool BFS() { CLEAR(dis,-1); dis[s]=0; int h=0,r=0; q[++r]=s; while(h<r) { int x=q[++h]; for(int i=0;i<N;i++) { if(dis[i]<0&&mp[x][i]) { dis[i]=dis[x]+1; q[++r]=i; } } } if(dis[t]>0) return true; else return false; } int dfs(int x,int low) { int a=0; if(x==t) return low; for(int i=0;i<N;i++) { if(mp[x][i]>0&&dis[i]==dis[x]+1&&(a=dfs(i,min(low,mp[x][i])))) { mp[x][i]-=a; mp[i][x]+=a; return a; } } return 0; } void dinic() { maxflow=0; while(BFS()) maxflow+=dfs(s,INF); } int main() { int s1,s2,x; while(~scanf("%d%d%d",&n,&f,&d)) { CLEAR(mp,0); s=0;t=2*n+f+d+1; for(int i=1;i<=f;i++) mp[s][i]=1; for(int i=1;i<=d;i++) mp[2*n+f+i][t]=1; for(int i=1;i<=n;i++) mp[f+i][f+n+i]=1; for(int i=1;i<=n;i++) { scanf("%d%d",&s1,&s2); for(int j=1;j<=s1;j++) { scanf("%d",&x); mp[x][f+i]=1; } for(int j=1;j<=s2;j++) { scanf("%d",&x); mp[f+n+i][f+2*n+x]=1; } } N=t+1; dinic(); printf("%d\n",maxflow); } return 0; }HDU 4292 :
The issue comes up as people in your college are more and more difficult to serve with meal: They eat only some certain kinds of food and drink, and with requirement unsatisfied, go away directly.
You have prepared F (1 <= F <= 200) kinds of food and D (1 <= D <= 200) kinds of drink. Each kind of food or drink has certain amount, that is, how many people could this food or drink serve. Besides, You know there’re N (1 <= N <= 200) people and you too can tell people’s personal preference for food and drink.
Back to your goal: to serve as many people as possible. So you must decide a plan where some people are served while requirements of the rest of them are unmet. You should notice that, when one’s requirement is unmet, he/she would just go away, refusing any service.
For each test case, the first line contains three numbers: N,F,D, denoting the number of people, food, and drink.
The second line contains F integers, the ith number of which denotes amount of representative food.
The third line contains D integers, the ith number of which denotes amount of representative drink.
Following is N line, each consisting of a string of length F. e jth character in the ith one of these lines denotes whether people i would accept food j. “Y” for yes and “N” for no.
Following is N line, each consisting of a string of length D. e jth character in the ith one of these lines denotes whether people i would accept drink j. “Y” for yes and “N” for no.
Please process until EOF (End Of File).
#include<cstdio> #include<cstring> #include<algorithm> #include<vector> #include<string> #include<iostream> #include<queue> #include<cmath> #include<map> #include<stack> #include<bitset> using namespace std; #define REPF( i , a , b ) for ( int i = a ; i <= b ; ++ i ) #define REP( i , n ) for ( int i = 0 ; i < n ; ++ i ) #define CLEAR( a , x ) memset ( a , x , sizeof a ) typedef long long LL; typedef pair<int,int>pil; const int mod = 1000000007; const int INF=0x3f3f3f3f; const int MAXN=1500; const int MAXM=200010; struct node { int from,to,next; int cap; }e[MAXM]; int head[MAXN],d[MAXN]; int tol,mp[MAXN]; int st,ed,n; int N,F,D; void addedge(int u,int v,int w) { e[tol].from=u; e[tol].to=v; e[tol].cap=w; e[tol].next=head[u]; head[u]=tol++; e[tol].from=v; e[tol].to=u; e[tol].cap=0; e[tol].next=head[v]; head[v]=tol++; } void BFS(int st,int ed) { memset(d,-1,sizeof(d)); memset(mp,0,sizeof(mp)); mp[0]=1; int q[MAXN]; int front,rear; front=rear=0; d[ed]=0; q[rear++]=ed; while(front!=rear) { int u=q[front++]; if(front==MAXN)front=0; for(int i=head[u];i!=-1;i=e[i].next) { int v=e[i].to; if(d[v]!=-1)continue; q[rear++]=v; if(rear==MAXN)rear=0; d[v]=d[u]+1; ++mp[d[v]]; } } } int SAP(int s,int t) { int res=0; BFS(st,ed); int cur[MAXN]; int S[MAXN]; int top=0; memcpy(cur,head,sizeof(head)); int u=s; int i; while(d[s]<n) { if(u==t) { int temp=INF; int inser; for(i=0;i<top;i++) if(temp>e[S[i]].cap) { temp=e[S[i]].cap; inser=i; } for(i=0;i<top;i++) { e[S[i]].cap-=temp; e[S[i]^1].cap+=temp; } res+=temp; top=inser; u=e[S[top]].from; } if(u!=t&&mp[d[u]-1]==0)//出现断层,无增广路 break; for(i=cur[u];i!=-1;i=e[i].next) if(e[i].cap!=0&&d[u]==d[e[i].to]+1) break; if(i!=-1) { cur[u]=i; S[top++]=i; u=e[i].to; } else { int min=n; for(i=head[u];i!=-1;i=e[i].next) { if(e[i].cap==0)continue; if(min>d[e[i].to]) { min=d[e[i].to]; cur[u]=i; } } --mp[d[u]]; d[u]=min+1; ++mp[d[u]]; if(u!=st)u=e[S[--top]].from; } } return res; } int main() { int x;char str[220][220]; while(~scanf("%d%d%d",&N,&F,&D)) { CLEAR(head,-1);tol=0; st=0;ed=2*N+F+D+1; for(int i=1;i<=F;i++) { scanf("%d",&x); addedge(st,i,x); } for(int i=1;i<=D;i++) { scanf("%d",&x); addedge(2*N+F+i,ed,x); } for(int i=1;i<=N;i++) addedge(F+i,F+N+i,1); for(int i=1;i<=N;i++) { scanf("%s",&str[i]); for(int j=0;j<F;j++) if(str[i][j]=='Y') addedge(j+1,F+i,1); } for(int i=1;i<=N;i++) { scanf("%s",&str[i]); for(int j=0;j<D;j++) if(str[i][j]=='Y') addedge(F+N+i,2*N+F+j+1,1); } n=ed+1; printf("%d\n",SAP(st,ed)); } return 0; }