#include<bits/stdc++.h>
//#pragma comment(linker, "/STACK:1024000000,1024000000")
#include<stdio.h>
#include<algorithm>
#include<queue>
#include<string.h>
#include<iostream>
#include<math.h>
#include<set>
#include<map>
#include<vector>
#include<iomanip>
using namespace std;
#define ll long long
#define pb push_back
#define FOR(a) for(int i=1;i<=a;i++)
const int inf=0x3f3f3f3f;
const int maxn=1e6+9;
int num_nodes; //预留超级源给0,所有的点是0到num_nodes-1
int tot;
int d[maxn],cur[maxn],source,sink;
int p[maxn],num[maxn],vis[maxn];
struct EDGE{
int from,to,cap,flow;
};
vector<EDGE>edge;
vector<int>G[maxn];
void init(){
edge.clear();
for(int i=0;i<maxn;i++)G[i].clear();
}
void addedge(int u,int v,int w){
edge.push_back((EDGE){u,v,w,0});
edge.push_back((EDGE){v,u,0,0});
tot=edge.size();
G[u].push_back(tot-2);
G[v].push_back(tot-1);
}
int bfs(){ //只跑一次初始化原图层次,void也行
memset(vis,0,sizeof vis);
queue<int>Q;
Q.push(sink);
vis[sink]=1;
d[sink]=0;
while(!Q.empty()){
int u=Q.front();
Q.pop();
int sz=G[u].size();
for(int i=0;i<sz;++i){
EDGE &e=edge[G[u][i]^1];
if(!vis[e.from] && e.cap>e.flow){
vis[e.from]=1;
d[e.from]=d[u]+1;
Q.push(e.from);
}
}
}
return vis[source];
}
int augment(){ //遍历处理出的路径
int u=sink,a=inf;
while(u!=source){
EDGE &e=edge[p[u]];
a=min(a,e.cap-e.flow);
u=edge[p[u]].from;
}
u=sink;
while(u!=source){
edge[p[u]].flow+=a;
edge[p[u]^1].flow-=a;
u=edge[p[u]].from;
}
return a;
}
int maxflow(){
int flow=0;
bfs(); //处理出d数组表示层次图
memset(num,0,sizeof num);
for(int i=0;i<num_nodes;i++)num[d[i]]++; //各个层次的点有多少个
int u=source;
memset(cur,0,sizeof cur); //当前弧编号,前面不行后面也不会用
while(d[source]<num_nodes){ //残量网络可达
if(u==sink){ //增广到终点
flow+=augment();
u=source;
}
bool advance=false;
int sz=G[u].size();
for(int i=cur[u];i<sz;i++){
EDGE &e=edge[G[u][i]];
if(e.cap>e.flow && d[u]==d[e.to]+1){
advance=true;
p[e.to]=G[u][i];
cur[u]=i;
u=e.to;
break;
}
}
if(!advance){
int m=num_nodes-1;
int sz=G[u].size();
for(int i=0;i<sz;i++){
if(edge[G[u][i]].cap>edge[G[u][i]].flow){
m=min(m,d[edge[G[u][i]].to]);
}
}
if(--num[d[u]]==0)break;
num[d[u]=m+1]++;
cur[u]=0;
if(u!=source)u=edge[p[u]].from;
}
}
return flow;
}
/******
main:
init(),num_nodes,source,sink
******/