//Dinic
struct Edge{
int from,to,cap,flow;
Edge(){
}
Edge(int a,int b,int c,int d){
from=a;
to=b;
cap=c;
flow=d;
}
}edges[maxm*2];
int n,m,s,t,sz;
vector<int> ve[maxn];
int dis[maxn],cur[maxn];
bool vis[maxn];
int l,r;
void addEdge(int a,int b,int c)
{
edges[sz++]=Edge(a,b,c,0);
edges[sz++]=Edge(b,a,0,0);
ve[a].push_back(sz-2);
ve[b].push_back(sz-1);
}
bool BFS(){
memset(vis,0,sizeof(vis));
queue<int> qu;
qu.push(s);
dis[s]=0;
vis[s]=1;
while(qu.size()){
int u=qu.front();qu.pop();
for(int i=0;i<ve[u].size();i++){
Edge& e=edges[ve[u][i]];
if(!vis[e.to] && e.flow<e.cap){
vis[e.to]=1;
qu.push(e.to);
dis[e.to]=dis[u]+1;
}
}
}
return vis[t];
}
int DFS(int x,int a)
{
if(x==t || a==0)return a;
int flow=0,f;
for(int& i=cur[x];i<ve[x].size();i++){
Edge e=edges[ve[x][i]];
if(dis[x]+1==dis[e.to] && (f=DFS(e.to,min(a,e.cap-e.flow)))>0){
flow+=f;
a-=f;
edges[ve[x][i]].flow+=f;
edges[ve[x][i]^1].flow-=f;
if(a==0)break;
}
}
return flow;
}
int dinic()
{
int flow=0;
while(BFS()){
memset(cur,0,sizeof(cur));
flow += DFS(s,600000);
}
return flow;
}