#include <iostream>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <vector>
#include <queue>
#include <stack>
#include <map>
#include <set>
using namespace std;
const int maxn=1111;
const int maxm=1111111;
const int INF=1e9;
struct Edge{
int from,to,cap,flow;
};
struct Dinic{
int n,m,s,t;
vector<Edge>edges;
vector<int>G[maxn];
bool vis[maxn];
int d[maxn];
int cur[maxn];
void init(int n,int s,int t){
this->n=n;
this->s=s;
this->t=t;
for (int i=0;i<n;i++) G[i].clear();
edges.clear();
m=0;
}
void addedge(int from,int to,int cap){
edges.push_back((Edge){from,to,cap,0});
edges.push_back((Edge){to,from,0,0});
m=edges.size();
G[from].push_back(m-2);
G[to].push_back(m-1);
}
bool BFS(){
memset(vis,0,sizeof(vis));
queue<int>que;
que.push(s);
d[s]=0;
vis[s]=true;
while (!que.empty()){
int x=que.front();que.pop();
for (int i=0;i<G[x].size();i++){
Edge& e=edges[G[x][i]];
if (!vis[e.to]&&e.cap>e.flow){
vis[e.to]=true;
d[e.to]=d[x]+1;
que.push(e.to);
}
}
}
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<G[x].size();i++){
Edge& e=edges[G[x][i]];
if (d[x]+1==d[e.to]&&(f=DFS(e.to,min(a,e.cap-e.flow)))>0){
e.flow+=f;
edges[G[x][i]^1].flow-=f;
flow+=f;
a-=f;
if (a==0) break;
}
}
return flow;
}
int Maxflow(int s,int t){
this->s=s;
this->t=t;
int flow=0;
while (BFS()){
memset(cur,0,sizeof(cur));
flow+=DFS(s,INF);
}
return flow;
}
}solver;