PO3281 Dining（最大流）

如果只有食物或者饮料那就是个二分图最大匹配。

三个真想不出来。。然后看题解。。从源点到食物到牛到饮料到汇点，这样建图。

所以思维不能太局限了，不懂得把食物和饮料放到牛两边，以为牛吃食物饮料、食物饮料被牛吃是符合逻辑的=。=

#include<cstdio>
#include<cstring>
#include<queue>
#include<algorithm>
using namespace std;
#define INF (1<<30)
#define MAXN 444
#define MAXM 444*444*2

struct Edge{
int v,cap,flow,next;
}edge[MAXM];
int vs,vt,NE,NV;
int head[MAXN];

void addEdge(int u,int v,int cap){
edge[NE].v=v; edge[NE].cap=cap; edge[NE].flow=0;
edge[NE].next=head[u]; head[u]=NE++;
edge[NE].v=u; edge[NE].cap=0; edge[NE].flow=0;
edge[NE].next=head[v]; head[v]=NE++;
}

int level[MAXN];
int gap[MAXN];
void bfs(){
memset(level,-1,sizeof(level));
memset(gap,0,sizeof(gap));
level[vt]=0;
gap[level[vt]]++;
queue<int> que;
que.push(vt);
while(!que.empty()){
int u=que.front(); que.pop();
for(int i=head[u]; i!=-1; i=edge[i].next){
int v=edge[i].v;
if(level[v]!=-1) continue;
level[v]=level[u]+1;
gap[level[v]]++;
que.push(v);
}
}
}

int pre[MAXN];
int cur[MAXN];
int ISAP(){
bfs();
memset(pre,-1,sizeof(pre));
memcpy(cur,head,sizeof(head));
int u=pre[vs]=vs,flow=0,aug=INF;
gap[0]=NV;
while(level[vs]<NV){
bool flag=false;
for(int &i=cur[u]; i!=-1; i=edge[i].next){
int v=edge[i].v;
if(edge[i].cap!=edge[i].flow && level[u]==level[v]+1){
flag=true;
pre[v]=u;
u=v;
//aug=(aug==-1?edge[i].cap:min(aug,edge[i].cap));
aug=min(aug,edge[i].cap-edge[i].flow);
if(v==vt){
flow+=aug;
for(u=pre[v]; v!=vs; v=u,u=pre[u]){
edge[cur[u]].flow+=aug;
edge[cur[u]^1].flow-=aug;
}
//aug=-1;
aug=INF;
}
break;
}
}
if(flag) continue;
int minlevel=NV;
for(int i=head[u]; i!=-1; i=edge[i].next){
int v=edge[i].v;
if(edge[i].cap!=edge[i].flow && level[v]<minlevel){
minlevel=level[v];
cur[u]=i;
}
}
if(--gap[level[u]]==0) break;
level[u]=minlevel+1;
gap[level[u]]++;
u=pre[u];
}
return flow;
}
int main(){
int n,f,d,a,b,c;
scanf("%d%d%d",&n,&f,&d);

vs=0; vt=n+n+f+d+1; NV=vt+1; NE=0;
memset(head,-1,sizeof(head));
for(int i=1; i<=f; ++i) addEdge(vs,i,1);
for(int i=1; i<=d; ++i) addEdge(i+f+n+n,vt,1);
for(int i=1; i<=n; ++i){
addEdge(i+f,i+f+n,1);
scanf("%d%d",&a,&b);
while(a--){
scanf("%d",&c);
addEdge(c,i+f,1);
}
while(b--){
scanf("%d",&c);
addEdge(i+f+n,c+f+n+n,1);
}
}
printf("%d",ISAP());
return 0;
}