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#include <bits/stdc++.h>
using namespace std;
 
#define sws std::ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#define int long long
#define endl "\n"
#define pb push_back
#define all(x) x.begin(), x.end()
 
typedef long long ll;
typedef long double ld;
 
const ll MOD = 1e9+7;
const int MAX = 1e5+5;
const ll LLINF = 0x3f3f3f3f3f3f3f3f;
 
int32_t main(){ 
      sws;
      /*I don't care if it's unfair, I just wanted you to tell me to stay by your side, even in this situation */
      return 0;
}