#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define f first
#define s second
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()

const int inf = 1e9;
const ll infll = 1e18;
const int M = 998244353;
const int N = 2e5;


int main(){
    
}