FZU 1397 保送

网络流入门题。

源点到每一个学生连一条边,容量为1

每个学校到汇点连一条边,容量为L

符合要求的学生和学校之间连边,容量为1。

从源点到汇点的最大流就是答案。

#include<cstdio>
#include<cstring>
#include<cmath>
#include<vector>
#include<map>
#include<queue>
#include<string>
#include<iostream>
#include<algorithm>
using namespace std; int tot;
int A,B;
const int maxn = ;
const int INF = 0x7FFFFFFF;
struct Edge
{
int from, to, cap, flow;
Edge(int u, int v, int c, int f) :from(u), to(v), cap(c), flow(f) {}
};
vector<Edge>edges;
vector<int>G[maxn];
bool vis[maxn];
int d[maxn];
int cur[maxn];
int n, m, s, t;
struct Stu
{
vector<int>school;
vector<int>flag;
}stu[];
struct Sch
{
bool flag[+];
}h[]; map<string,int>zhuan; void init()
{
for (int i = ; i < maxn; i++) G[i].clear();
edges.clear();
s=;
t=A+B+;
tot=;
zhuan.clear();
} void AddEdge(int from, int to, int cap)
{
edges.push_back(Edge(from, to, cap, ));
edges.push_back(Edge(to, from, , ));
int w = edges.size();
G[from].push_back(w - );
G[to].push_back(w - );
}
bool BFS()
{
memset(vis, , sizeof(vis));
queue<int>Q;
Q.push(s);
d[s] = ;
vis[s] = ;
while (!Q.empty())
{
int x = Q.front();
Q.pop();
for (int i = ; i<G[x].size(); i++)
{
Edge e = edges[G[x][i]];
if (!vis[e.to] && e.cap>e.flow)
{
vis[e.to] = ;
d[e.to] = d[x] + ;
Q.push(e.to);
}
}
}
return vis[t];
}
int DFS(int x, int a)
{
if (x == t || a == )
return a;
int flow = , f;
for (int &i = cur[x]; i<G[x].size(); i++)
{
Edge e = edges[G[x][i]];
if (d[x]+ == d[e.to]&&(f=DFS(e.to,min(a,e.cap-e.flow)))>)
{
edges[G[x][i]].flow+=f;
edges[G[x][i] ^ ].flow-=f;
flow+=f;
a-=f;
if(a==) break;
}
}
if(!flow) d[x] = -;
return flow;
}
int dinic(int s, int t)
{
int flow = ;
while (BFS())
{
memset(cur, , sizeof(cur));
flow += DFS(s, INF);
}
return flow;
} int main()
{
while(~scanf("%d%d",&A,&B))
{
if(!A&&!B) break;
init(); for(int i=;i<=A;i++) AddEdge(s,i,); for(int i=;i<=A;i++)
{
int d,p; scanf("%d%d",&d,&p); stu[i].flag.clear();
stu[i].school.clear(); for(int j=;j<=d;j++)
{
string name; cin>>name;
if(zhuan[name]==) {zhuan[name]=tot;tot++;}
stu[i].flag.push_back(zhuan[name]);
}
for(int j=;j<=p;j++)
{
int x; scanf("%d",&x);
stu[i].school.push_back(x);
}
} for(int i=;i<=B;i++)
{
int L,F;scanf("%d%d",&L,&F);
AddEdge(i+A,t,L);
memset(h[i].flag,,sizeof h[i].flag);
for(int j=;j<=F;j++)
{
string name; cin>>name;
if(zhuan[name]==) {zhuan[name]=tot;tot++;}
h[i].flag[zhuan[name]]=;
}
} for(int i=;i<=A;i++)
{
for(int j=;j<stu[i].school.size();j++)
{
int xue=stu[i].school[j];
for(int k=;k<stu[i].flag.size();k++)
if(h[xue].flag[stu[i].flag[k]])
AddEdge(i,A+xue,);
}
}
printf("%d\n",dinic(s,t));
} return ;
}
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