#include <compare>
#include <concepts>
namespace std {
template<class T> using with-reference = T&;
template<class T> concept can-reference
= requires { typename with-reference<T>; };
template<class T> concept dereferenceable
= requires(T& t) {
{ *t } -> can-reference;
};
template<class> struct incrementable_traits;
template<class T>
using iter_difference_t = see below;
template<class> struct indirectly_readable_traits;
template<class T>
using iter_value_t = see below;
template<class I> struct iterator_traits;
template<class T> requires is_object_v<T> struct iterator_traits<T*>;
template<dereferenceable T>
using iter_reference_t = decltype(*declval<T&>());
namespace ranges {
inline namespace unspecified {
inline constexpr unspecified iter_move = unspecified;
inline constexpr unspecified iter_swap = unspecified;
}
}
template<dereferenceable T>
requires requires(T& t) {
{ ranges::iter_move(t) } -> can-reference;
}
using iter_rvalue_reference_t
= decltype(ranges::iter_move(declval<T&>()));
template<class In>
concept indirectly_readable = see below;
template<indirectly_readable T>
using iter_common_reference_t =
common_reference_t<iter_reference_t<T>, iter_value_t<T>&>;
template<class Out, class T>
concept indirectly_writable = see below;
template<class I>
concept weakly_incrementable = see below;
template<class I>
concept incrementable = see below;
template<class I>
concept input_or_output_iterator = see below;
template<class S, class I>
concept sentinel_for = see below;
template<class S, class I>
inline constexpr bool disable_sized_sentinel_for = false;
template<class S, class I>
concept sized_sentinel_for = see below;
template<class I>
concept input_iterator = see below;
template<class I, class T>
concept output_iterator = see below;
template<class I>
concept forward_iterator = see below;
template<class I>
concept bidirectional_iterator = see below;
template<class I>
concept random_access_iterator = see below;
template<class I>
concept contiguous_iterator = see below;
template<class F, class I>
concept indirectly_unary_invocable = see below;
template<class F, class I>
concept indirectly_regular_unary_invocable = see below;
template<class F, class I>
concept indirect_unary_predicate = see below;
template<class F, class I1, class I2>
concept indirect_binary_predicate = see below;
template<class F, class I1, class I2 = I1>
concept indirect_equivalence_relation = see below;
template<class F, class I1, class I2 = I1>
concept indirect_strict_weak_order = see below;
template<class F, class... Is>
requires (indirectly_readable<Is> && ...) && invocable<F, iter_reference_t<Is>...>
using indirect_result_t = invoke_result_t<F, iter_reference_t<Is>...>;
template<indirectly_readable I, indirectly_regular_unary_invocable<I> Proj>
struct projected;
template<weakly_incrementable I, class Proj>
struct incrementable_traits<projected<I, Proj>>;
template<class In, class Out>
concept indirectly_movable = see below;
template<class In, class Out>
concept indirectly_movable_storable = see below;
template<class In, class Out>
concept indirectly_copyable = see below;
template<class In, class Out>
concept indirectly_copyable_storable = see below;
template<class I1, class I2 = I1>
concept indirectly_swappable = see below;
template<class I1, class I2, class R, class P1 = identity, class P2 = identity>
concept indirectly_comparable = see below;
template<class I>
concept permutable = see below;
template<class I1, class I2, class Out,
class R = ranges::less, class P1 = identity, class P2 = identity>
concept mergeable = see below;
template<class I, class R = ranges::less, class P = identity>
concept sortable = see below;
struct input_iterator_tag { };
struct output_iterator_tag { };
struct forward_iterator_tag: public input_iterator_tag { };
struct bidirectional_iterator_tag: public forward_iterator_tag { };
struct random_access_iterator_tag: public bidirectional_iterator_tag { };
struct contiguous_iterator_tag: public random_access_iterator_tag { };
template<class InputIterator, class Distance>
constexpr void
advance(InputIterator& i, Distance n);
template<class InputIterator>
constexpr typename iterator_traits<InputIterator>::difference_type
distance(InputIterator first, InputIterator last);
template<class InputIterator>
constexpr InputIterator
next(InputIterator x,
typename iterator_traits<InputIterator>::difference_type n = 1);
template<class BidirectionalIterator>
constexpr BidirectionalIterator
prev(BidirectionalIterator x,
typename iterator_traits<BidirectionalIterator>::difference_type n = 1);
namespace ranges {
template<input_or_output_iterator I>
constexpr void advance(I& i, iter_difference_t<I> n);
template<input_or_output_iterator I, sentinel_for<I> S>
constexpr void advance(I& i, S bound);
template<input_or_output_iterator I, sentinel_for<I> S>
constexpr iter_difference_t<I> advance(I& i, iter_difference_t<I> n, S bound);
template<input_or_output_iterator I, sentinel_for<I> S>
constexpr iter_difference_t<I> distance(I first, S last);
template<range R>
constexpr range_difference_t<R> distance(R&& r);
template<input_or_output_iterator I>
constexpr I next(I x);
template<input_or_output_iterator I>
constexpr I next(I x, iter_difference_t<I> n);
template<input_or_output_iterator I, sentinel_for<I> S>
constexpr I next(I x, S bound);
template<input_or_output_iterator I, sentinel_for<I> S>
constexpr I next(I x, iter_difference_t<I> n, S bound);
template<bidirectional_iterator I>
constexpr I prev(I x);
template<bidirectional_iterator I>
constexpr I prev(I x, iter_difference_t<I> n);
template<bidirectional_iterator I>
constexpr I prev(I x, iter_difference_t<I> n, I bound);
}
template<class Iterator> class reverse_iterator;
template<class Iterator1, class Iterator2>
constexpr bool operator==(
const reverse_iterator<Iterator1>& x,
const reverse_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr bool operator!=(
const reverse_iterator<Iterator1>& x,
const reverse_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr bool operator<(
const reverse_iterator<Iterator1>& x,
const reverse_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr bool operator>(
const reverse_iterator<Iterator1>& x,
const reverse_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr bool operator<=(
const reverse_iterator<Iterator1>& x,
const reverse_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr bool operator>=(
const reverse_iterator<Iterator1>& x,
const reverse_iterator<Iterator2>& y);
template<class Iterator1, three_way_comparable_with<Iterator1> Iterator2>
constexpr compare_three_way_result_t<Iterator1, Iterator2>
operator<=>(const reverse_iterator<Iterator1>& x,
const reverse_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr auto operator-(
const reverse_iterator<Iterator1>& x,
const reverse_iterator<Iterator2>& y) -> decltype(y.base() - x.base());
template<class Iterator>
constexpr reverse_iterator<Iterator> operator+(
iter_difference_t<Iterator> n,
const reverse_iterator<Iterator>& x);
template<class Iterator>
constexpr reverse_iterator<Iterator> make_reverse_iterator(Iterator i);
template<class Iterator1, class Iterator2>
requires (!sized_sentinel_for<Iterator1, Iterator2>)
inline constexpr bool disable_sized_sentinel_for<reverse_iterator<Iterator1>,
reverse_iterator<Iterator2>> = true;
template<class Container> class back_insert_iterator;
template<class Container>
constexpr back_insert_iterator<Container> back_inserter(Container& x);
template<class Container> class front_insert_iterator;
template<class Container>
constexpr front_insert_iterator<Container> front_inserter(Container& x);
template<class Container> class insert_iterator;
template<class Container>
constexpr insert_iterator<Container>
inserter(Container& x, ranges::iterator_t<Container> i);
template<class Iterator> class move_iterator;
template<class Iterator1, class Iterator2>
constexpr bool operator==(
const move_iterator<Iterator1>& x, const move_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr bool operator<(
const move_iterator<Iterator1>& x, const move_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr bool operator>(
const move_iterator<Iterator1>& x, const move_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr bool operator<=(
const move_iterator<Iterator1>& x, const move_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr bool operator>=(
const move_iterator<Iterator1>& x, const move_iterator<Iterator2>& y);
template<class Iterator1, three_way_comparable_with<Iterator1> Iterator2>
constexpr compare_three_way_result_t<Iterator1, Iterator2>
operator<=>(const move_iterator<Iterator1>& x,
const move_iterator<Iterator2>& y);
template<class Iterator1, class Iterator2>
constexpr auto operator-(
const move_iterator<Iterator1>& x, const move_iterator<Iterator2>& y)
-> decltype(x.base() - y.base());
template<class Iterator>
constexpr move_iterator<Iterator>
operator+(iter_difference_t<Iterator> n, const move_iterator<Iterator>& x);
template<class Iterator>
constexpr move_iterator<Iterator> make_move_iterator(Iterator i);
template<semiregular S> class move_sentinel;
template<input_or_output_iterator I, sentinel_for<I> S>
requires (!same_as<I, S> && copyable<I>)
class common_iterator;
template<class I, class S>
struct incrementable_traits<common_iterator<I, S>>;
template<input_iterator I, class S>
struct iterator_traits<common_iterator<I, S>>;
struct default_sentinel_t;
inline constexpr default_sentinel_t default_sentinel{};
template<input_or_output_iterator I> class counted_iterator;
template<class I>
struct incrementable_traits<counted_iterator<I>>;
template<input_iterator I>
struct iterator_traits<counted_iterator<I>>;
struct unreachable_sentinel_t;
inline constexpr unreachable_sentinel_t unreachable_sentinel{};
template<class T, class charT = char, class traits = char_traits<charT>,
class Distance = ptrdiff_t>
class istream_iterator;
template<class T, class charT, class traits, class Distance>
bool operator==(const istream_iterator<T,charT,traits,Distance>& x,
const istream_iterator<T,charT,traits,Distance>& y);
template<class T, class charT = char, class traits = char_traits<charT>>
class ostream_iterator;
template<class charT, class traits = char_traits<charT>>
class istreambuf_iterator;
template<class charT, class traits>
bool operator==(const istreambuf_iterator<charT,traits>& a,
const istreambuf_iterator<charT,traits>& b);
template<class charT, class traits = char_traits<charT>>
class ostreambuf_iterator;
template<class C> constexpr auto begin(C& c) -> decltype(c.begin());
template<class C> constexpr auto begin(const C& c) -> decltype(c.begin());
template<class C> constexpr auto end(C& c) -> decltype(c.end());
template<class C> constexpr auto end(const C& c) -> decltype(c.end());
template<class T, size_t N> constexpr T* begin(T (&array)[N]) noexcept;
template<class T, size_t N> constexpr T* end(T (&array)[N]) noexcept;
template<class C> constexpr auto cbegin(const C& c) noexcept(noexcept(std::begin(c)))
-> decltype(std::begin(c));
template<class C> constexpr auto cend(const C& c) noexcept(noexcept(std::end(c)))
-> decltype(std::end(c));
template<class C> constexpr auto rbegin(C& c) -> decltype(c.rbegin());
template<class C> constexpr auto rbegin(const C& c) -> decltype(c.rbegin());
template<class C> constexpr auto rend(C& c) -> decltype(c.rend());
template<class C> constexpr auto rend(const C& c) -> decltype(c.rend());
template<class T, size_t N> constexpr reverse_iterator<T*> rbegin(T (&array)[N]);
template<class T, size_t N> constexpr reverse_iterator<T*> rend(T (&array)[N]);
template<class E> constexpr reverse_iterator<const E*> rbegin(initializer_list<E> il);
template<class E> constexpr reverse_iterator<const E*> rend(initializer_list<E> il);
template<class C> constexpr auto crbegin(const C& c) -> decltype(std::rbegin(c));
template<class C> constexpr auto crend(const C& c) -> decltype(std::rend(c));
template<class C> constexpr auto size(const C& c) -> decltype(c.size());
template<class T, size_t N> constexpr size_t size(const T (&array)[N]) noexcept;
template<class C> constexpr auto ssize(const C& c)
-> common_type_t<ptrdiff_t, make_signed_t<decltype(c.size())>>;
template<class T, ptrdiff_t N> constexpr ptrdiff_t ssize(const T (&array)[N]) noexcept;
template<class C> [[nodiscard]] constexpr auto empty(const C& c) -> decltype(c.empty());
template<class T, size_t N> [[nodiscard]] constexpr bool empty(const T (&array)[N]) noexcept;
template<class E> [[nodiscard]] constexpr bool empty(initializer_list<E> il) noexcept;
template<class C> constexpr auto data(C& c) -> decltype(c.data());
template<class C> constexpr auto data(const C& c) -> decltype(c.data());
template<class T, size_t N> constexpr T* data(T (&array)[N]) noexcept;
template<class E> constexpr const E* data(initializer_list<E> il) noexcept;
}