//          Copyright Johannes Kapfhammer 2019-2022.
// Distributed under the Boost Software License, Version 1.0.
//    (See accompanying file LICENSE_1_0.txt or copy at
//          http://www.boost.org/LICENSE_1_0.txt)
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <complex>
#include <cstddef>
#include <cstdint>
#include <cstdlib>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_set>
#include <unordered_map>
#include <utility>
#include <valarray>
#include <vector>

#if __cplusplus >= 201703L
#include <any>
#include <optional>
#include <string_view>
#include <variant>
#endif