/*   You have lost, my dear   */


#include<bits/stdc++.h>
#pragma GCC optimize("O3")
#define mod 1000000007
#define fi first
#define se second
using namespace std;
int n;
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
    // shuffle(permutation.begin(), permutation.end(), rng);
    cin>>;

    cout<<;
    return 0;
}