#include <bits/stdc++.h>
using namespace std;
const double pi = acos(-1);
const double eps=1e-7;
const int base=131;
#define YES cout<<"YES"<<endl
#define NO cout<<"NO"<<endl
#define x first
#define y second
#define int long long
#define lb long double
#define pb push_back
#define endl '\n'//交互题删掉此 
#define all(v) (v).begin(),(v).end()
#define PII pair<int,int>
#define rep(i,x,n) for(int i=x;i<=n;i++)
#define dwn(i,n,x) for(int i=n;i>=x;i--)
#define ll_INF 0x7f7f7f7f7f7f7f7f
#define INF 0x3f3f3f3f
#define debug(x) cerr << #x << ": " << x << endl
#define io ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr)
int Mod(int a,int mod){return (a%mod+mod)%mod;}
int lowbit(int x){return x&-x;}//最低位1及其后面的0构成的数值
int qmi(int a, int k, int p){int res = 1 % p;while (k){if (k & 1) res = Mod(res * a , p);a = Mod(a * a , p);k >>= 1;}return res;}
int inv(int a,int mod){return qmi(a,mod-2,mod);}
int n;
void solve()
{
}
signed main()
{
    io;
    int _;_=1;
    //cin>>_;
    while(_--)solve();
    return 0;
}