#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i, a, n) for (int i = a; i <= n; i++)
#define per(i, a, n) for (int i = n; i >= a; i--)
#define lowbit(x) ((x) & -(x))
#define lson l, mid, rt << 1
#define rson mid + 1, r, rt << 1 | 1
#define mem(a, b) memset(a, b, sizeof(a))
#define IOS ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
const double PI = acos(-1.0);
const int MAXN = 100050,MAXM = 100050,inf = 0x3f3f3f3f;
struct node{
int to,next,cap,flow;
}e[MAXM<<1];
int tot,head[MAXN],gap[MAXN],cur[MAXN],dep[MAXN];
void init(){
tot = 0;
mem(head,-1);
}
void add(int u,int v,int w,int rw){
e[tot].to = v,e[tot].cap = w,e[tot].flow = 0,e[tot].next = head[u],head[u] = tot++;
e[tot].to = u,e[tot].cap = rw,e[tot].flow = 0,e[tot].next = head[v],head[v] = tot++;
}
int q[MAXN];
void bfs(int s,int t){
mem(dep,-1);
mem(gap,0);
gap[0] = 1;
int front = 0,rear = 0;
dep[t] = 0;
q[rear++] = t;
while(front != rear){
int u = q[front++];
for(int i = head[u]; ~i; i = e[i].next){
int v = e[i].to;
if(dep[v] != -1) continue;
q[rear++] = v;
dep[v] = dep[u] + 1;
gap[dep[v]]++;
}
}
}
int sta[MAXN];
int sap(int s,int t,int N){
bfs(s,t);
memcpy(cur,head,sizeof(head));
int top = 0;
int u = s;
int ans = 0;
while(dep[s] < N){
if(u == t){
int Min = inf;
int inser;
for(int i = 0; i < top; i++){
if(Min > e[sta[i]].cap - e[sta[i]].flow){
Min = e[sta[i]].cap - e[sta[i]].flow;
inser = i;
}
}
for(int i = 0; i < top; i++){
e[sta[i]].flow += Min;
e[sta[i]^1].flow -= Min;
}
ans += Min;
top = inser;
u = e[sta[top]^1].to;
continue;
}
bool flag = 0;
int v;
for(int i = cur[u]; ~i ; i = e[i].next){
v = e[i].to;
if(e[i].cap - e[i].flow && dep[v] + 1 == dep[u]){
flag = 1;
cur[u] = i;
break;
}
}
if(flag){
sta[top++] = cur[u];
u = v;
continue;
}
int Min = N;
for(int i = head[u]; ~i ; i = e[i].next){
if(e[i].cap - e[i].flow && dep[e[i].to] < Min){
Min = dep[e[i].to];
cur[u] = i;
}
}
gap[dep[u]]--;
if(!gap[dep[u]]) return ans;
dep[u] = Min + 1;
gap[dep[u]]++;
if(u != s) u = e[sta[--top]^1].to;
}
return ans;
}
int main()
{
return 0;
}