#include <bits/stdc++.h>
 
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
#pragma GCC optimize ("-O3", "Ofast", "unroll-loops")
 
#define whole(O) O.begin (), O.end ()
 
#define tS(O) (int) O.size ()
 
#define sqr(O) (O) * (O)
#define pw(O) (1LL << O)
 
using namespace std;
 
const long long Mod = 1e9 + 7;
const int MaXn = 5 * 1e5 + 1;
 
using namespace __gnu_pbds;
 
template <typename O>
using Ordered_Set = tree <O, null_type, less <O>, rb_tree_tag, tree_order_statistics_node_update>;
 
mt19937_64 rnd(chrono :: system_clock :: now ().time_since_epoch ().count ());
 
int main () {
 
    ios_base :: sync_with_stdio (0);
    cin.tie (0); cout.tie (0);
 
 
    return 0;
}
 

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