#include <bits/stdc++.h>
#define ft first
#define sd second
#define endl '\n'
#define pb push_back
#define md make_pair
#define gc() getchar()
#define pc(ch) putchar(ch)
#define umap unordered_map
#define pque priority_queue
using namespace std;
typedef double db;
typedef long long ll;
typedef unsigned long long ull;
typedef __int128 bint;
typedef pair<int, int> pii;
typedef pair<pii, int> pi1;
typedef pair<pii, pii> pi2;
const ll INF = 0x3f3f3f3f;
const db Pi = acos(-1.0);
inline ll read()
{
	ll res = 0, f = 1; char ch = gc();
	while (ch < '0' || ch > '9') f = (ch == '-' ? -1 : f), ch = gc();
	while (ch >= '0' && ch <= '9') res = (res << 1) + (res << 3) + (ch ^ 48), ch = gc();
	return res * f;
}
inline void write(ll x)
{
	if (x < 0) x = -x, pc('-');
	if (x > 9) write(x / 10);
	pc(x % 10 + '0');
}
inline void writech(ll x, char ch) { write(x), pc(ch); }
int main()
{
	
	return 0;
}