#include <iostream>
#include <algorithm>
#include <cstring>
#include <vector>
#define PI 3.14159
using namespace std;

typedef pair<int,int> PII;
typedef long long LL;
const int MAX_INT =  0x3f3f3f3f;
const int N = 1e5+15;
const int mod = 1e9+7;

void solve()
{

}

int main()
{
    ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

    int T = 1;
    while(T--)
    {
        solve();
    }
}