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#include <bits/stdc++.h>
using namespace std;

// https://www.geeksforgeeks.org/fast-io-for-competitive-programming/

// Or use outside as
static int x = []() { ios::sync_with_stdio(false); cin.tie(NULL); return 0; }();

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    return 0;
}