// -*- C++ -*-
//===------------------------ functional ----------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//

#ifndef _LIBCPP_FUNCTIONAL
#define _LIBCPP_FUNCTIONAL

/*
    functional synopsis

namespace std
{

template <class Arg, class Result>
struct unary_function
{
    typedef Arg    argument_type;
    typedef Result result_type;
};

template <class Arg1, class Arg2, class Result>
struct binary_function
{
    typedef Arg1   first_argument_type;
    typedef Arg2   second_argument_type;
    typedef Result result_type;
};

template <class T>
class reference_wrapper
    : public unary_function<T1, R> // if wrapping a unary functor
    : public binary_function<T1, T2, R> // if wraping a binary functor
{
public:
    // types
    typedef T type;
    typedef see below result_type; // Not always defined

    // construct/copy/destroy
    reference_wrapper(T&) noexcept;
    reference_wrapper(T&&) = delete; // do not bind to temps
    reference_wrapper(const reference_wrapper<T>& x) noexcept;

    // assignment
    reference_wrapper& operator=(const reference_wrapper<T>& x) noexcept;

    // access
    operator T& () const noexcept;
    T& get() const noexcept;

    // invoke
    template <class... ArgTypes>
      typename result_of<T&(ArgTypes&&...)>::type
          operator() (ArgTypes&&...) const;
};

template <class T> reference_wrapper<T> ref(T& t) noexcept;
template <class T> void ref(const T&& t) = delete;
template <class T> reference_wrapper<T> ref(reference_wrapper<T>t) noexcept;

template <class T> reference_wrapper<const T> cref(const T& t) noexcept;
template <class T> void cref(const T&& t) = delete;
template <class T> reference_wrapper<const T> cref(reference_wrapper<T> t) noexcept;

template <class T> struct unwrap_reference;                                       // since C++20
template <class T> struct unwrap_ref_decay : unwrap_reference<decay_t<T>> { };    // since C++20
template <class T> using unwrap_reference_t = typename unwrap_reference<T>::type; // since C++20
template <class T> using unwrap_ref_decay_t = typename unwrap_ref_decay<T>::type; // since C++20

template <class T> // <class T=void> in C++14
struct plus : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct minus : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct multiplies : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct divides : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct modulus : binary_function<T, T, T>
{
    T operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct negate : unary_function<T, T>
{
    T operator()(const T& x) const;
};

template <class T> // <class T=void> in C++14
struct equal_to : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct not_equal_to : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct greater : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct less : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct greater_equal : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct less_equal : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct logical_and : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct logical_or : binary_function<T, T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct logical_not : unary_function<T, bool>
{
    bool operator()(const T& x) const;
};

template <class T> // <class T=void> in C++14
struct bit_and : unary_function<T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct bit_or : unary_function<T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T> // <class T=void> in C++14
struct bit_xor : unary_function<T, bool>
{
    bool operator()(const T& x, const T& y) const;
};

template <class T=void> // C++14
struct bit_xor : unary_function<T, bool>
{
    bool operator()(const T& x) const;
};

template <class Predicate>
class unary_negate // deprecated in C++17
    : public unary_function<typename Predicate::argument_type, bool>
{
public:
    explicit unary_negate(const Predicate& pred);
    bool operator()(const typename Predicate::argument_type& x) const;
};

template <class Predicate> // deprecated in C++17
unary_negate<Predicate> not1(const Predicate& pred);

template <class Predicate>
class binary_negate // deprecated in C++17
    : public binary_function<typename Predicate::first_argument_type,
                             typename Predicate::second_argument_type,
                             bool>
{
public:
    explicit binary_negate(const Predicate& pred);
    bool operator()(const typename Predicate::first_argument_type& x,
                    const typename Predicate::second_argument_type& y) const;
};

template <class Predicate> // deprecated in C++17
binary_negate<Predicate> not2(const Predicate& pred);

template <class F> unspecified not_fn(F&& f); // C++17

template<class T> struct is_bind_expression;
template<class T> struct is_placeholder;

    // See C++14 20.9.9, Function object binders
template <class T> inline constexpr bool is_bind_expression_v
  = is_bind_expression<T>::value; // C++17
template <class T> inline constexpr int is_placeholder_v
  = is_placeholder<T>::value; // C++17


template<class Fn, class... BoundArgs>
  unspecified bind(Fn&&, BoundArgs&&...);
template<class R, class Fn, class... BoundArgs>
  unspecified bind(Fn&&, BoundArgs&&...);

template<class F, class... Args>
 invoke_result_t<F, Args...> invoke(F&& f, Args&&... args) // C++17
    noexcept(is_nothrow_invocable_v<F, Args...>);

namespace placeholders {
  // M is the implementation-defined number of placeholders
  extern unspecified _1;
  extern unspecified _2;
  .
  .
  .
  extern unspecified _Mp;
}

template <class Operation>
class binder1st     // deprecated in C++11, removed in C++17
    : public unary_function<typename Operation::second_argument_type,
                            typename Operation::result_type>
{
protected:
    Operation                               op;
    typename Operation::first_argument_type value;
public:
    binder1st(const Operation& x, const typename Operation::first_argument_type y);
    typename Operation::result_type operator()(      typename Operation::second_argument_type& x) const;
    typename Operation::result_type operator()(const typename Operation::second_argument_type& x) const;
};

template <class Operation, class T>
binder1st<Operation> bind1st(const Operation& op, const T& x);  // deprecated in C++11, removed in C++17

template <class Operation>
class binder2nd     // deprecated in C++11, removed in C++17
    : public unary_function<typename Operation::first_argument_type,
                            typename Operation::result_type>
{
protected:
    Operation                                op;
    typename Operation::second_argument_type value;
public:
    binder2nd(const Operation& x, const typename Operation::second_argument_type y);
    typename Operation::result_type operator()(      typename Operation::first_argument_type& x) const;
    typename Operation::result_type operator()(const typename Operation::first_argument_type& x) const;
};

template <class Operation, class T>
binder2nd<Operation> bind2nd(const Operation& op, const T& x);  // deprecated in C++11, removed in C++17

template <class Arg, class Result>      // deprecated in C++11, removed in C++17
class pointer_to_unary_function : public unary_function<Arg, Result>
{
public:
    explicit pointer_to_unary_function(Result (*f)(Arg));
    Result operator()(Arg x) const;
};

template <class Arg, class Result>
pointer_to_unary_function<Arg,Result> ptr_fun(Result (*f)(Arg));      // deprecated in C++11, removed in C++17

template <class Arg1, class Arg2, class Result>      // deprecated in C++11, removed in C++17
class pointer_to_binary_function : public binary_function<Arg1, Arg2, Result>
{
public:
    explicit pointer_to_binary_function(Result (*f)(Arg1, Arg2));
    Result operator()(Arg1 x, Arg2 y) const;
};

template <class Arg1, class Arg2, class Result>
pointer_to_binary_function<Arg1,Arg2,Result> ptr_fun(Result (*f)(Arg1,Arg2));      // deprecated in C++11, removed in C++17

template<class S, class T>      // deprecated in C++11, removed in C++17
class mem_fun_t : public unary_function<T*, S>
{
public:
    explicit mem_fun_t(S (T::*p)());
    S operator()(T* p) const;
};

template<class S, class T, class A>
class mem_fun1_t : public binary_function<T*, A, S>      // deprecated in C++11, removed in C++17
{
public:
    explicit mem_fun1_t(S (T::*p)(A));
    S operator()(T* p, A x) const;
};

template<class S, class T>          mem_fun_t<S,T>    mem_fun(S (T::*f)());      // deprecated in C++11, removed in C++17
template<class S, class T, class A> mem_fun1_t<S,T,A> mem_fun(S (T::*f)(A));     // deprecated in C++11, removed in C++17

template<class S, class T>
class mem_fun_ref_t : public unary_function<T, S>      // deprecated in C++11, removed in C++17
{
public:
    explicit mem_fun_ref_t(S (T::*p)());
    S operator()(T& p) const;
};

template<class S, class T, class A>
class mem_fun1_ref_t : public binary_function<T, A, S>      // deprecated in C++11, removed in C++17
{
public:
    explicit mem_fun1_ref_t(S (T::*p)(A));
    S operator()(T& p, A x) const;
};

template<class S, class T>          mem_fun_ref_t<S,T>    mem_fun_ref(S (T::*f)());      // deprecated in C++11, removed in C++17
template<class S, class T, class A> mem_fun1_ref_t<S,T,A> mem_fun_ref(S (T::*f)(A));     // deprecated in C++11, removed in C++17

template <class S, class T>
class const_mem_fun_t : public unary_function<const T*, S>      // deprecated in C++11, removed in C++17
{
public:
    explicit const_mem_fun_t(S (T::*p)() const);
    S operator()(const T* p) const;
};

template <class S, class T, class A>
class const_mem_fun1_t : public binary_function<const T*, A, S>      // deprecated in C++11, removed in C++17
{
public:
    explicit const_mem_fun1_t(S (T::*p)(A) const);
    S operator()(const T* p, A x) const;
};

template <class S, class T>          const_mem_fun_t<S,T>    mem_fun(S (T::*f)() const);      // deprecated in C++11, removed in C++17
template <class S, class T, class A> const_mem_fun1_t<S,T,A> mem_fun(S (T::*f)(A) const);     // deprecated in C++11, removed in C++17

template <class S, class T>
class const_mem_fun_ref_t : public unary_function<T, S>      // deprecated in C++11, removed in C++17
{
public:
    explicit const_mem_fun_ref_t(S (T::*p)() const);
    S operator()(const T& p) const;
};

template <class S, class T, class A>
class const_mem_fun1_ref_t : public binary_function<T, A, S>      // deprecated in C++11, removed in C++17
{
public:
    explicit const_mem_fun1_ref_t(S (T::*p)(A) const);
    S operator()(const T& p, A x) const;
};

template <class S, class T>          const_mem_fun_ref_t<S,T>    mem_fun_ref(S (T::*f)() const);   // deprecated in C++11, removed in C++17
template <class S, class T, class A> const_mem_fun1_ref_t<S,T,A> mem_fun_ref(S (T::*f)(A) const);  // deprecated in C++11, removed in C++17

template<class R, class T> unspecified mem_fn(R T::*);

class bad_function_call
    : public exception
{
};

template<class> class function; // undefined

template<class R, class... ArgTypes>
class function<R(ArgTypes...)>
  : public unary_function<T1, R>      // iff sizeof...(ArgTypes) == 1 and
                                      // ArgTypes contains T1
  : public binary_function<T1, T2, R> // iff sizeof...(ArgTypes) == 2 and
                                      // ArgTypes contains T1 and T2
{
public:
    typedef R result_type;

    // construct/copy/destroy:
    function() noexcept;
    function(nullptr_t) noexcept;
    function(const function&);
    function(function&&) noexcept;
    template<class F>
      function(F);
    template<Allocator Alloc>
      function(allocator_arg_t, const Alloc&) noexcept;            // removed in C++17
    template<Allocator Alloc>
      function(allocator_arg_t, const Alloc&, nullptr_t) noexcept; // removed in C++17
    template<Allocator Alloc>
      function(allocator_arg_t, const Alloc&, const function&);    // removed in C++17
    template<Allocator Alloc>
      function(allocator_arg_t, const Alloc&, function&&);         // removed in C++17
    template<class F, Allocator Alloc>
      function(allocator_arg_t, const Alloc&, F);                  // removed in C++17

    function& operator=(const function&);
    function& operator=(function&&) noexcept;
    function& operator=(nullptr_t) noexcept;
    template<class F>
      function& operator=(F&&);
    template<class F>
      function& operator=(reference_wrapper<F>) noexcept;

    ~function();

    // function modifiers:
    void swap(function&) noexcept;
    template<class F, class Alloc>
      void assign(F&&, const Alloc&);                 // Removed in C++17

    // function capacity:
    explicit operator bool() const noexcept;

    // function invocation:
    R operator()(ArgTypes...) const;

    // function target access:
    const std::type_info& target_type() const noexcept;
    template <typename T>       T* target() noexcept;
    template <typename T> const T* target() const noexcept;
};

// Deduction guides
template<class R, class ...Args>
function(R(*)(Args...)) -> function<R(Args...)>; // since C++17

template<class F>
function(F) -> function<see-below>; // since C++17

// Null pointer comparisons:
template <class R, class ... ArgTypes>
  bool operator==(const function<R(ArgTypes...)>&, nullptr_t) noexcept;

template <class R, class ... ArgTypes>
  bool operator==(nullptr_t, const function<R(ArgTypes...)>&) noexcept;

template <class R, class ... ArgTypes>
  bool operator!=(const function<R(ArgTypes...)>&, nullptr_t) noexcept;

template <class  R, class ... ArgTypes>
  bool operator!=(nullptr_t, const function<R(ArgTypes...)>&) noexcept;

// specialized algorithms:
template <class  R, class ... ArgTypes>
  void swap(function<R(ArgTypes...)>&, function<R(ArgTypes...)>&) noexcept;

template <class T> struct hash;

template <> struct hash<bool>;
template <> struct hash<char>;
template <> struct hash<signed char>;
template <> struct hash<unsigned char>;
template <> struct hash<char16_t>;
template <> struct hash<char32_t>;
template <> struct hash<wchar_t>;
template <> struct hash<short>;
template <> struct hash<unsigned short>;
template <> struct hash<int>;
template <> struct hash<unsigned int>;
template <> struct hash<long>;
template <> struct hash<long long>;
template <> struct hash<unsigned long>;
template <> struct hash<unsigned long long>;

template <> struct hash<float>;
template <> struct hash<double>;
template <> struct hash<long double>;

template<class T> struct hash<T*>;
template <> struct hash<nullptr_t>;  // C++17

}  // std

POLICY:  For non-variadic implementations, the number of arguments is limited
         to 3.  It is hoped that the need for non-variadic implementations
         will be minimal.

*/

#include <__config>
#include <type_traits>
#include <typeinfo>
#include <exception>
#include <memory>
#include <tuple>
#include <utility>
#include <version>

#include <__functional_base>

#if defined(_LIBCPP_HAS_BLOCKS_RUNTIME) && !defined(_LIBCPP_HAS_OBJC_ARC)
#include <Block.h>
#endif

#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#pragma GCC system_header
#endif

_LIBCPP_BEGIN_NAMESPACE_STD

#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS plus : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x + __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS plus<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) + _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) + _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) + _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS minus : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x - __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS minus<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) - _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) - _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) - _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS multiplies : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x * __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS multiplies<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) * _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) * _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) * _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS divides : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x / __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS divides<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) / _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) / _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) / _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS modulus : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x % __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS modulus<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) % _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) % _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) % _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS negate : unary_function<_Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x) const
        {return -__x;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS negate<void>
{
    template <class _Tp>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_Tp&& __x) const
    _NOEXCEPT_(noexcept(- _VSTD::forward<_Tp>(__x)))
    -> decltype        (- _VSTD::forward<_Tp>(__x))
        { return        - _VSTD::forward<_Tp>(__x); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS equal_to : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x == __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS equal_to<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) == _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) == _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) == _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS not_equal_to : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x != __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS not_equal_to<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) != _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) != _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) != _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS greater : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x > __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS greater<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) > _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) > _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) > _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


// less in <__functional_base>

#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS greater_equal : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x >= __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS greater_equal<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) >= _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) >= _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) >= _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS less_equal : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x <= __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS less_equal<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) <= _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) <= _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) <= _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS logical_and : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x && __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS logical_and<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) && _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) && _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) && _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS logical_or : binary_function<_Tp, _Tp, bool>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x || __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS logical_or<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) || _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) || _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) || _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS logical_not : unary_function<_Tp, bool>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const _Tp& __x) const
        {return !__x;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS logical_not<void>
{
    template <class _Tp>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_Tp&& __x) const
    _NOEXCEPT_(noexcept(!_VSTD::forward<_Tp>(__x)))
    -> decltype        (!_VSTD::forward<_Tp>(__x))
        { return        !_VSTD::forward<_Tp>(__x); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS bit_and : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x & __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS bit_and<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) & _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) & _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) & _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS bit_or : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x | __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS bit_or<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) | _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) | _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) | _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
#else
template <class _Tp>
#endif
struct _LIBCPP_TEMPLATE_VIS bit_xor : binary_function<_Tp, _Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x ^ __y;}
};

#if _LIBCPP_STD_VER > 11
template <>
struct _LIBCPP_TEMPLATE_VIS bit_xor<void>
{
    template <class _T1, class _T2>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_T1&& __t, _T2&& __u) const
    _NOEXCEPT_(noexcept(_VSTD::forward<_T1>(__t) ^ _VSTD::forward<_T2>(__u)))
    -> decltype        (_VSTD::forward<_T1>(__t) ^ _VSTD::forward<_T2>(__u))
        { return        _VSTD::forward<_T1>(__t) ^ _VSTD::forward<_T2>(__u); }
    typedef void is_transparent;
};
#endif


#if _LIBCPP_STD_VER > 11
template <class _Tp = void>
struct _LIBCPP_TEMPLATE_VIS bit_not : unary_function<_Tp, _Tp>
{
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    _Tp operator()(const _Tp& __x) const
        {return ~__x;}
};

template <>
struct _LIBCPP_TEMPLATE_VIS bit_not<void>
{
    template <class _Tp>
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    auto operator()(_Tp&& __x) const
    _NOEXCEPT_(noexcept(~_VSTD::forward<_Tp>(__x)))
    -> decltype        (~_VSTD::forward<_Tp>(__x))
        { return        ~_VSTD::forward<_Tp>(__x); }
    typedef void is_transparent;
};
#endif

template <class _Predicate>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX17 unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
{
    _Predicate __pred_;
public:
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    explicit unary_negate(const _Predicate& __pred)
        : __pred_(__pred) {}
    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const typename _Predicate::argument_type& __x) const
        {return !__pred_(__x);}
};

template <class _Predicate>
_LIBCPP_DEPRECATED_IN_CXX17 inline _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
unary_negate<_Predicate>
not1(const _Predicate& __pred) {return unary_negate<_Predicate>(__pred);}

template <class _Predicate>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX17 binary_negate
    : public binary_function<typename _Predicate::first_argument_type,
                             typename _Predicate::second_argument_type,
                             bool>
{
    _Predicate __pred_;
public:
    _LIBCPP_INLINE_VISIBILITY explicit _LIBCPP_CONSTEXPR_AFTER_CXX11
    binary_negate(const _Predicate& __pred) : __pred_(__pred) {}

    _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
    bool operator()(const typename _Predicate::first_argument_type& __x,
                    const typename _Predicate::second_argument_type& __y) const
        {return !__pred_(__x, __y);}
};

template <class _Predicate>
_LIBCPP_DEPRECATED_IN_CXX17 inline _LIBCPP_CONSTEXPR_AFTER_CXX11 _LIBCPP_INLINE_VISIBILITY
binary_negate<_Predicate>
not2(const _Predicate& __pred) {return binary_negate<_Predicate>(__pred);}

#if _LIBCPP_STD_VER <= 14 || defined(_LIBCPP_ENABLE_CXX17_REMOVED_BINDERS)
template <class __Operation>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 binder1st
    : public unary_function<typename __Operation::second_argument_type,
                            typename __Operation::result_type>
{
protected:
    __Operation                               op;
    typename __Operation::first_argument_type value;
public:
    _LIBCPP_INLINE_VISIBILITY binder1st(const __Operation& __x,
                               const typename __Operation::first_argument_type __y)
        : op(__x), value(__y) {}
    _LIBCPP_INLINE_VISIBILITY typename __Operation::result_type operator()
        (typename __Operation::second_argument_type& __x) const
            {return op(value, __x);}
    _LIBCPP_INLINE_VISIBILITY typename __Operation::result_type operator()
        (const typename __Operation::second_argument_type& __x) const
            {return op(value, __x);}
};

template <class __Operation, class _Tp>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
binder1st<__Operation>
bind1st(const __Operation& __op, const _Tp& __x)
    {return binder1st<__Operation>(__op, __x);}

template <class __Operation>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 binder2nd
    : public unary_function<typename __Operation::first_argument_type,
                            typename __Operation::result_type>
{
protected:
    __Operation                                op;
    typename __Operation::second_argument_type value;
public:
    _LIBCPP_INLINE_VISIBILITY
    binder2nd(const __Operation& __x, const typename __Operation::second_argument_type __y)
        : op(__x), value(__y) {}
    _LIBCPP_INLINE_VISIBILITY typename __Operation::result_type operator()
        (      typename __Operation::first_argument_type& __x) const
            {return op(__x, value);}
    _LIBCPP_INLINE_VISIBILITY typename __Operation::result_type operator()
        (const typename __Operation::first_argument_type& __x) const
            {return op(__x, value);}
};

template <class __Operation, class _Tp>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
binder2nd<__Operation>
bind2nd(const __Operation& __op, const _Tp& __x)
    {return binder2nd<__Operation>(__op, __x);}

template <class _Arg, class _Result>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 pointer_to_unary_function
    : public unary_function<_Arg, _Result>
{
    _Result (*__f_)(_Arg);
public:
    _LIBCPP_INLINE_VISIBILITY explicit pointer_to_unary_function(_Result (*__f)(_Arg))
        : __f_(__f) {}
    _LIBCPP_INLINE_VISIBILITY _Result operator()(_Arg __x) const
        {return __f_(__x);}
};

template <class _Arg, class _Result>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
pointer_to_unary_function<_Arg,_Result>
ptr_fun(_Result (*__f)(_Arg))
    {return pointer_to_unary_function<_Arg,_Result>(__f);}

template <class _Arg1, class _Arg2, class _Result>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 pointer_to_binary_function
    : public binary_function<_Arg1, _Arg2, _Result>
{
    _Result (*__f_)(_Arg1, _Arg2);
public:
    _LIBCPP_INLINE_VISIBILITY explicit pointer_to_binary_function(_Result (*__f)(_Arg1, _Arg2))
        : __f_(__f) {}
    _LIBCPP_INLINE_VISIBILITY _Result operator()(_Arg1 __x, _Arg2 __y) const
        {return __f_(__x, __y);}
};

template <class _Arg1, class _Arg2, class _Result>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
pointer_to_binary_function<_Arg1,_Arg2,_Result>
ptr_fun(_Result (*__f)(_Arg1,_Arg2))
    {return pointer_to_binary_function<_Arg1,_Arg2,_Result>(__f);}

template<class _Sp, class _Tp>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 mem_fun_t
    : public unary_function<_Tp*, _Sp>
{
    _Sp (_Tp::*__p_)();
public:
    _LIBCPP_INLINE_VISIBILITY explicit mem_fun_t(_Sp (_Tp::*__p)())
        : __p_(__p) {}
    _LIBCPP_INLINE_VISIBILITY _Sp operator()(_Tp* __p) const
        {return (__p->*__p_)();}
};

template<class _Sp, class _Tp, class _Ap>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 mem_fun1_t
    : public binary_function<_Tp*, _Ap, _Sp>
{
    _Sp (_Tp::*__p_)(_Ap);
public:
    _LIBCPP_INLINE_VISIBILITY explicit mem_fun1_t(_Sp (_Tp::*__p)(_Ap))
        : __p_(__p) {}
    _LIBCPP_INLINE_VISIBILITY _Sp operator()(_Tp* __p, _Ap __x) const
        {return (__p->*__p_)(__x);}
};

template<class _Sp, class _Tp>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
mem_fun_t<_Sp,_Tp>
mem_fun(_Sp (_Tp::*__f)())
    {return mem_fun_t<_Sp,_Tp>(__f);}

template<class _Sp, class _Tp, class _Ap>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
mem_fun1_t<_Sp,_Tp,_Ap>
mem_fun(_Sp (_Tp::*__f)(_Ap))
    {return mem_fun1_t<_Sp,_Tp,_Ap>(__f);}

template<class _Sp, class _Tp>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 mem_fun_ref_t
    : public unary_function<_Tp, _Sp>
{
    _Sp (_Tp::*__p_)();
public:
    _LIBCPP_INLINE_VISIBILITY explicit mem_fun_ref_t(_Sp (_Tp::*__p)())
        : __p_(__p) {}
    _LIBCPP_INLINE_VISIBILITY _Sp operator()(_Tp& __p) const
        {return (__p.*__p_)();}
};

template<class _Sp, class _Tp, class _Ap>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 mem_fun1_ref_t
    : public binary_function<_Tp, _Ap, _Sp>
{
    _Sp (_Tp::*__p_)(_Ap);
public:
    _LIBCPP_INLINE_VISIBILITY explicit mem_fun1_ref_t(_Sp (_Tp::*__p)(_Ap))
        : __p_(__p) {}
    _LIBCPP_INLINE_VISIBILITY _Sp operator()(_Tp& __p, _Ap __x) const
        {return (__p.*__p_)(__x);}
};

template<class _Sp, class _Tp>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
mem_fun_ref_t<_Sp,_Tp>
mem_fun_ref(_Sp (_Tp::*__f)())
    {return mem_fun_ref_t<_Sp,_Tp>(__f);}

template<class _Sp, class _Tp, class _Ap>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
mem_fun1_ref_t<_Sp,_Tp,_Ap>
mem_fun_ref(_Sp (_Tp::*__f)(_Ap))
    {return mem_fun1_ref_t<_Sp,_Tp,_Ap>(__f);}

template <class _Sp, class _Tp>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 const_mem_fun_t
    : public unary_function<const _Tp*, _Sp>
{
    _Sp (_Tp::*__p_)() const;
public:
    _LIBCPP_INLINE_VISIBILITY explicit const_mem_fun_t(_Sp (_Tp::*__p)() const)
        : __p_(__p) {}
    _LIBCPP_INLINE_VISIBILITY _Sp operator()(const _Tp* __p) const
        {return (__p->*__p_)();}
};

template <class _Sp, class _Tp, class _Ap>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 const_mem_fun1_t
    : public binary_function<const _Tp*, _Ap, _Sp>
{
    _Sp (_Tp::*__p_)(_Ap) const;
public:
    _LIBCPP_INLINE_VISIBILITY explicit const_mem_fun1_t(_Sp (_Tp::*__p)(_Ap) const)
        : __p_(__p) {}
    _LIBCPP_INLINE_VISIBILITY _Sp operator()(const _Tp* __p, _Ap __x) const
        {return (__p->*__p_)(__x);}
};

template <class _Sp, class _Tp>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
const_mem_fun_t<_Sp,_Tp>
mem_fun(_Sp (_Tp::*__f)() const)
    {return const_mem_fun_t<_Sp,_Tp>(__f);}

template <class _Sp, class _Tp, class _Ap>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
const_mem_fun1_t<_Sp,_Tp,_Ap>
mem_fun(_Sp (_Tp::*__f)(_Ap) const)
    {return const_mem_fun1_t<_Sp,_Tp,_Ap>(__f);}

template <class _Sp, class _Tp>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 const_mem_fun_ref_t
    : public unary_function<_Tp, _Sp>
{
    _Sp (_Tp::*__p_)() const;
public:
    _LIBCPP_INLINE_VISIBILITY explicit const_mem_fun_ref_t(_Sp (_Tp::*__p)() const)
        : __p_(__p) {}
    _LIBCPP_INLINE_VISIBILITY _Sp operator()(const _Tp& __p) const
        {return (__p.*__p_)();}
};

template <class _Sp, class _Tp, class _Ap>
class _LIBCPP_TEMPLATE_VIS _LIBCPP_DEPRECATED_IN_CXX11 const_mem_fun1_ref_t
    : public binary_function<_Tp, _Ap, _Sp>
{
    _Sp (_Tp::*__p_)(_Ap) const;
public:
    _LIBCPP_INLINE_VISIBILITY explicit const_mem_fun1_ref_t(_Sp (_Tp::*__p)(_Ap) const)
        : __p_(__p) {}
    _LIBCPP_INLINE_VISIBILITY _Sp operator()(const _Tp& __p, _Ap __x) const
        {return (__p.*__p_)(__x);}
};

template <class _Sp, class _Tp>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
const_mem_fun_ref_t<_Sp,_Tp>
mem_fun_ref(_Sp (_Tp::*__f)() const)
    {return const_mem_fun_ref_t<_Sp,_Tp>(__f);}

template <class _Sp, class _Tp, class _Ap>
_LIBCPP_DEPRECATED_IN_CXX11 inline _LIBCPP_INLINE_VISIBILITY
const_mem_fun1_ref_t<_Sp,_Tp,_Ap>
mem_fun_ref(_Sp (_Tp::*__f)(_Ap) const)
    {return const_mem_fun1_ref_t<_Sp,_Tp,_Ap>(__f);}
#endif

////////////////////////////////////////////////////////////////////////////////
//                                MEMFUN
//==============================================================================

template <class _Tp>
class __mem_fn
    : public __weak_result_type<_Tp>
{
public:
    // types
    typedef _Tp type;
private:
    type __f_;

public:
    _LIBCPP_INLINE_VISIBILITY __mem_fn(type __f) _NOEXCEPT : __f_(__f) {}

#ifndef _LIBCPP_CXX03_LANG
    // invoke
    template <class... _ArgTypes>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return<type, _ArgTypes...>::type
    operator() (_ArgTypes&&... __args) const {
        return __invoke(__f_, _VSTD::forward<_ArgTypes>(__args)...);
    }
#else

    template <class _A0>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return0<type, _A0>::type
    operator() (_A0& __a0) const {
        return __invoke(__f_, __a0);
    }

    template <class _A0>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return0<type, _A0 const>::type
    operator() (_A0 const& __a0) const {
        return __invoke(__f_, __a0);
    }

    template <class _A0, class _A1>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return1<type, _A0, _A1>::type
    operator() (_A0& __a0, _A1& __a1) const {
        return __invoke(__f_, __a0, __a1);
    }

    template <class _A0, class _A1>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return1<type, _A0 const, _A1>::type
    operator() (_A0 const& __a0, _A1& __a1) const {
        return __invoke(__f_, __a0, __a1);
    }

    template <class _A0, class _A1>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return1<type, _A0, _A1 const>::type
    operator() (_A0& __a0, _A1 const& __a1) const {
        return __invoke(__f_, __a0, __a1);
    }

    template <class _A0, class _A1>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return1<type, _A0 const, _A1 const>::type
    operator() (_A0 const& __a0, _A1 const& __a1) const {
        return __invoke(__f_, __a0, __a1);
    }

    template <class _A0, class _A1, class _A2>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return2<type, _A0, _A1, _A2>::type
    operator() (_A0& __a0, _A1& __a1, _A2& __a2) const {
        return __invoke(__f_, __a0, __a1, __a2);
    }

    template <class _A0, class _A1, class _A2>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return2<type, _A0 const, _A1, _A2>::type
    operator() (_A0 const& __a0, _A1& __a1, _A2& __a2) const {
        return __invoke(__f_, __a0, __a1, __a2);
    }

    template <class _A0, class _A1, class _A2>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return2<type, _A0, _A1 const, _A2>::type
    operator() (_A0& __a0, _A1 const& __a1, _A2& __a2) const {
        return __invoke(__f_, __a0, __a1, __a2);
    }

    template <class _A0, class _A1, class _A2>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return2<type, _A0, _A1, _A2 const>::type
    operator() (_A0& __a0, _A1& __a1, _A2 const& __a2) const {
        return __invoke(__f_, __a0, __a1, __a2);
    }

    template <class _A0, class _A1, class _A2>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return2<type, _A0 const, _A1 const, _A2>::type
    operator() (_A0 const& __a0, _A1 const& __a1, _A2& __a2) const {
        return __invoke(__f_, __a0, __a1, __a2);
    }

    template <class _A0, class _A1, class _A2>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return2<type, _A0 const, _A1, _A2 const>::type
    operator() (_A0 const& __a0, _A1& __a1, _A2 const& __a2) const {
        return __invoke(__f_, __a0, __a1, __a2);
    }

    template <class _A0, class _A1, class _A2>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return2<type, _A0, _A1 const, _A2 const>::type
    operator() (_A0& __a0, _A1 const& __a1, _A2 const& __a2) const {
        return __invoke(__f_, __a0, __a1, __a2);
    }

    template <class _A0, class _A1, class _A2>
    _LIBCPP_INLINE_VISIBILITY
    typename __invoke_return2<type, _A0 const, _A1 const, _A2 const>::type
    operator() (_A0 const& __a0, _A1 const& __a1, _A2 const& __a2) const {
        return __invoke(__f_, __a0, __a1, __a2);
    }
#endif
};

template<class _Rp, class _Tp>
inline _LIBCPP_INLINE_VISIBILITY
__mem_fn<_Rp _Tp::*>
mem_fn(_Rp _Tp::* __pm) _NOEXCEPT
{
    return __mem_fn<_Rp _Tp::*>(__pm);
}

////////////////////////////////////////////////////////////////////////////////
//                                FUNCTION
//==============================================================================

// bad_function_call

class _LIBCPP_EXCEPTION_ABI bad_function_call
    : public exception
{
#ifdef _LIBCPP_ABI_BAD_FUNCTION_CALL_KEY_FUNCTION
public:
    virtual ~bad_function_call() _NOEXCEPT;

    virtual const char* what() const _NOEXCEPT;
#endif
};

_LIBCPP_NORETURN inline _LIBCPP_INLINE_VISIBILITY
void __throw_bad_function_call()
{
#ifndef _LIBCPP_NO_EXCEPTIONS
    throw bad_function_call();
#else
    _VSTD::abort();
#endif
}

#if defined(_LIBCPP_CXX03_LANG) && !defined(_LIBCPP_DISABLE_DEPRECATION_WARNINGS) && __has_attribute(deprecated)
#   define _LIBCPP_DEPRECATED_CXX03_FUNCTION \
        __attribute__((deprecated("Using std::function in C++03 is not supported anymore. Please upgrade to C++11 or later, or use a different type")))
#else
#   define _LIBCPP_DEPRECATED_CXX03_FUNCTION /* nothing */
#endif

template<class _Fp> class _LIBCPP_DEPRECATED_CXX03_FUNCTION _LIBCPP_TEMPLATE_VIS function; // undefined

namespace __function
{

template<class _Rp>
struct __maybe_derive_from_unary_function
{
};

template<class _Rp, class _A1>
struct __maybe_derive_from_unary_function<_Rp(_A1)>
    : public unary_function<_A1, _Rp>
{
};

template<class _Rp>
struct __maybe_derive_from_binary_function
{
};

template<class _Rp, class _A1, class _A2>
struct __maybe_derive_from_binary_function<_Rp(_A1, _A2)>
    : public binary_function<_A1, _A2, _Rp>
{
};

template <class _Fp>
_LIBCPP_INLINE_VISIBILITY
bool __not_null(_Fp const&) { return true; }

template <class _Fp>
_LIBCPP_INLINE_VISIBILITY
bool __not_null(_Fp* __ptr) { return __ptr; }

template <class _Ret, class _Class>
_LIBCPP_INLINE_VISIBILITY
bool __not_null(_Ret _Class::*__ptr) { return __ptr; }

template <class _Fp>
_LIBCPP_INLINE_VISIBILITY
bool __not_null(function<_Fp> const& __f) { return !!__f; }

#ifdef _LIBCPP_HAS_EXTENSION_BLOCKS
template <class _Rp, class ..._Args>
_LIBCPP_INLINE_VISIBILITY
bool __not_null(_Rp (^__p)(_Args...)) { return __p; }
#endif

} // namespace __function

#ifndef _LIBCPP_CXX03_LANG

namespace __function {

// __alloc_func holds a functor and an allocator.

template <class _Fp, class _Ap, class _FB> class __alloc_func;
template <class _Fp, class _FB>
class __default_alloc_func;

template <class _Fp, class _Ap, class _Rp, class... _ArgTypes>
class __alloc_func<_Fp, _Ap, _Rp(_ArgTypes...)>
{
    __compressed_pair<_Fp, _Ap> __f_;

  public:
    typedef _LIBCPP_NODEBUG_TYPE _Fp _Target;
    typedef _LIBCPP_NODEBUG_TYPE _Ap _Alloc;

    _LIBCPP_INLINE_VISIBILITY
    const _Target& __target() const { return __f_.first(); }

    // WIN32 APIs may define __allocator, so use __get_allocator instead.
    _LIBCPP_INLINE_VISIBILITY
    const _Alloc& __get_allocator() const { return __f_.second(); }

    _LIBCPP_INLINE_VISIBILITY
    explicit __alloc_func(_Target&& __f)
        : __f_(piecewise_construct, _VSTD::forward_as_tuple(_VSTD::move(__f)),
               _VSTD::forward_as_tuple())
    {
    }

    _LIBCPP_INLINE_VISIBILITY
    explicit __alloc_func(const _Target& __f, const _Alloc& __a)
        : __f_(piecewise_construct, _VSTD::forward_as_tuple(__f),
               _VSTD::forward_as_tuple(__a))
    {
    }

    _LIBCPP_INLINE_VISIBILITY
    explicit __alloc_func(const _Target& __f, _Alloc&& __a)
        : __f_(piecewise_construct, _VSTD::forward_as_tuple(__f),
               _VSTD::forward_as_tuple(_VSTD::move(__a)))
    {
    }

    _LIBCPP_INLINE_VISIBILITY
    explicit __alloc_func(_Target&& __f, _Alloc&& __a)
        : __f_(piecewise_construct, _VSTD::forward_as_tuple(_VSTD::move(__f)),
               _VSTD::forward_as_tuple(_VSTD::move(__a)))
    {
    }

    _LIBCPP_INLINE_VISIBILITY
    _Rp operator()(_ArgTypes&&... __arg)
    {
        typedef __invoke_void_return_wrapper<_Rp> _Invoker;
        return _Invoker::__call(__f_.first(),
                                _VSTD::forward<_ArgTypes>(__arg)...);
    }

    _LIBCPP_INLINE_VISIBILITY
    __alloc_func* __clone() const
    {
        typedef allocator_traits<_Alloc> __alloc_traits;
        typedef
            typename __rebind_alloc_helper<__alloc_traits, __alloc_func>::type
                _AA;
        _AA __a(__f_.second());
        typedef __allocator_destructor<_AA> _Dp;
        unique_ptr<__alloc_func, _Dp> __hold(__a.allocate(1), _Dp(__a, 1));
        ::new ((void*)__hold.get()) __alloc_func(__f_.first(), _Alloc(__a));
        return __hold.release();
    }

    _LIBCPP_INLINE_VISIBILITY
    void destroy() _NOEXCEPT { __f_.~__compressed_pair<_Target, _Alloc>(); }

    static void __destroy_and_delete(__alloc_func* __f) {
      typedef allocator_traits<_Alloc> __alloc_traits;
      typedef typename __rebind_alloc_helper<__alloc_traits, __alloc_func>::type
          _FunAlloc;
      _FunAlloc __a(__f->__get_allocator());
      __f->destroy();
      __a.deallocate(__f, 1);
    }
};

template <class _Fp, class _Rp, class... _ArgTypes>
class __default_alloc_func<_Fp, _Rp(_ArgTypes...)> {
  _Fp __f_;

public:
  typedef _LIBCPP_NODEBUG_TYPE _Fp _Target;

  _LIBCPP_INLINE_VISIBILITY
  const _Target& __target() const { return __f_; }

  _LIBCPP_INLINE_VISIBILITY
  explicit __default_alloc_func(_Target&& __f) : __f_(std::move(__f)) {}

  _LIBCPP_INLINE_VISIBILITY
  explicit __default_alloc_func(const _Target& __f) : __f_(__f) {}

  _LIBCPP_INLINE_VISIBILITY
  _Rp operator()(_ArgTypes&&... __arg) {
    typedef __invoke_void_return_wrapper<_Rp> _Invoker;
    return _Invoker::__call(__f_, _VSTD::forward<_ArgTypes>(__arg)...);
  }

  _LIBCPP_INLINE_VISIBILITY
  __default_alloc_func* __clone() const {
      __builtin_new_allocator::__holder_t __hold =
        __builtin_new_allocator::__allocate_type<__default_alloc_func>(1);
    __default_alloc_func* __res =
        ::new (__hold.get()) __default_alloc_func(__f_);
    (void)__hold.release();
    return __res;
  }

  _LIBCPP_INLINE_VISIBILITY
  void destroy() _NOEXCEPT { __f_.~_Target(); }

  static void __destroy_and_delete(__default_alloc_func* __f) {
    __f->destroy();
      __builtin_new_allocator::__deallocate_type<__default_alloc_func>(__f, 1);
  }
};

// __base provides an abstract interface for copyable functors.

template<class _Fp> class _LIBCPP_TEMPLATE_VIS __base;

template<class _Rp, class ..._ArgTypes>
class __base<_Rp(_ArgTypes...)>
{
    __base(const __base&);
    __base& operator=(const __base&);
public:
    _LIBCPP_INLINE_VISIBILITY __base() {}
    _LIBCPP_INLINE_VISIBILITY virtual ~__base() {}
    virtual __base* __clone() const = 0;
    virtual void __clone(__base*) const = 0;
    virtual void destroy() _NOEXCEPT = 0;
    virtual void destroy_deallocate() _NOEXCEPT = 0;
    virtual _Rp operator()(_ArgTypes&& ...) = 0;
#ifndef _LIBCPP_NO_RTTI
    virtual const void* target(const type_info&) const _NOEXCEPT = 0;
    virtual const std::type_info& target_type() const _NOEXCEPT = 0;
#endif  // _LIBCPP_NO_RTTI
};

// __func implements __base for a given functor type.

template<class _FD, class _Alloc, class _FB> class __func;

template<class _Fp, class _Alloc, class _Rp, class ..._ArgTypes>
class __func<_Fp, _Alloc, _Rp(_ArgTypes...)>
    : public  __base<_Rp(_ArgTypes...)>
{
    __alloc_func<_Fp, _Alloc, _Rp(_ArgTypes...)> __f_;
public:
    _LIBCPP_INLINE_VISIBILITY
    explicit __func(_Fp&& __f)
        : __f_(_VSTD::move(__f)) {}

    _LIBCPP_INLINE_VISIBILITY
    explicit __func(const _Fp& __f, const _Alloc& __a)
        : __f_(__f, __a) {}

    _LIBCPP_INLINE_VISIBILITY
    explicit __func(const _Fp& __f, _Alloc&& __a)
        : __f_(__f, _VSTD::move(__a)) {}

    _LIBCPP_INLINE_VISIBILITY
    explicit __func(_Fp&& __f, _Alloc&& __a)
        : __f_(_VSTD::move(__f), _VSTD::move(__a)) {}

    virtual __base<_Rp(_ArgTypes...)>* __clone() const;
    virtual void __clone(__base<_Rp(_ArgTypes...)>*) const;
    virtual void destroy() _NOEXCEPT;
    virtual void destroy_deallocate() _NOEXCEPT;
    virtual _Rp operator()(_ArgTypes&&... __arg);
#ifndef _LIBCPP_NO_RTTI
    virtual const void* target(const type_info&) const _NOEXCEPT;
    virtual const std::type_info& target_type() const _NOEXCEPT;
#endif  // _LIBCPP_NO_RTTI
};

template<class _Fp, class _Alloc, class _Rp, class ..._ArgTypes>
__base<_Rp(_ArgTypes...)>*
__func<_Fp, _Alloc, _Rp(_ArgTypes...)>::__clone() const
{
    typedef allocator_traits<_Alloc> __alloc_traits;
    typedef typename __rebind_alloc_helper<__alloc_traits, __func>::type _Ap;
    _Ap __a(__f_.__get_allocator());
    typedef __allocator_destructor<_Ap> _Dp;
    unique_ptr<__func, _Dp> __hold(__a.allocate(1), _Dp(__a, 1));
    ::new ((void*)__hold.get()) __func(__f_.__target(), _Alloc(__a));
    return __hold.release();
}

template<class _Fp, class _Alloc, class _Rp, class ..._ArgTypes>
void
__func<_Fp, _Alloc, _Rp(_ArgTypes...)>::__clone(__base<_Rp(_ArgTypes...)>* __p) const
{
    ::new (__p) __func(__f_.__target(), __f_.__get_allocator());
}

template<class _Fp, class _Alloc, class _Rp, class ..._ArgTypes>
void
__func<_Fp, _Alloc, _Rp(_ArgTypes...)>::destroy() _NOEXCEPT
{
    __f_.destroy();
}

template<class _Fp, class _Alloc, class _Rp, class ..._ArgTypes>
void
__func<_Fp, _Alloc, _Rp(_ArgTypes...)>::destroy_deallocate() _NOEXCEPT
{
    typedef allocator_traits<_Alloc> __alloc_traits;
    typedef typename __rebind_alloc_helper<__alloc_traits, __func>::type _Ap;
    _Ap __a(__f_.__get_allocator());
    __f_.destroy();
    __a.deallocate(this, 1);
}

template<class _Fp, class _Alloc, class _Rp, class ..._ArgTypes>
_Rp
__func<_Fp, _Alloc, _Rp(_ArgTypes...)>::operator()(_ArgTypes&& ... __arg)
{
    return __f_(_VSTD::forward<_ArgTypes>(__arg)...);
}

#ifndef _LIBCPP_NO_RTTI

template<class _Fp, class _Alloc, class _Rp, class ..._ArgTypes>
const void*
__func<_Fp, _Alloc, _Rp(_ArgTypes...)>::target(const type_info& __ti) const _NOEXCEPT
{
    if (__ti == typeid(_Fp))
        return &__f_.__target();
    return (const void*)0;
}

template<class _Fp, class _Alloc, class _Rp, class ..._ArgTypes>
const std::type_info&
__func<_Fp, _Alloc, _Rp(_ArgTypes...)>::target_type() const _NOEXCEPT
{
    return typeid(_Fp);
}

#endif  // _LIBCPP_NO_RTTI

// __value_func creates a value-type from a __func.

template <class _Fp> class __value_func;

template <class _Rp, class... _ArgTypes> class __value_func<_Rp(_ArgTypes...)>
{
    typename aligned_storage<3 * sizeof(void*)>::type __buf_;

    typedef __base<_Rp(_ArgTypes...)> __func;
    __func* __f_;

    _LIBCPP_NO_CFI static __func* __as_base(void* p)
    {
        return reinterpret_cast<__func*>(p);
    }

  public:
    _LIBCPP_INLINE_VISIBILITY
    __value_func() _NOEXCEPT : __f_(0) {}

    template <class _Fp, class _Alloc>
    _LIBCPP_INLINE_VISIBILITY __value_func(_Fp&& __f, const _Alloc& __a)
        : __f_(0)
    {
        typedef allocator_traits<_Alloc> __alloc_traits;
        typedef __function::__func<_Fp, _Alloc, _Rp(_ArgTypes...)> _Fun;
        typedef typename __rebind_alloc_helper<__alloc_traits, _Fun>::type
            _FunAlloc;

        if (__function::__not_null(__f))
        {
            _FunAlloc __af(__a);
            if (sizeof(_Fun) <= sizeof(__buf_) &&
                is_nothrow_copy_constructible<_Fp>::value &&
                is_nothrow_copy_constructible<_FunAlloc>::value)
            {
                __f_ =
                    ::new ((void*)&__buf_) _Fun(_VSTD::move(__f), _Alloc(__af));
            }
            else
            {
                typedef __allocator_destructor<_FunAlloc> _Dp;
                unique_ptr<__func, _Dp> __hold(__af.allocate(1), _Dp(__af, 1));
                ::new ((void*)__hold.get()) _Fun(_VSTD::move(__f), _Alloc(__a));
                __f_ = __hold.release();
            }
        }
    }

    template <class _Fp,
        class = typename enable_if<!is_same<typename decay<_Fp>::type, __value_func>::value>::type>
    _LIBCPP_INLINE_VISIBILITY explicit __value_func(_Fp&& __f)
        : __value_func(std::forward<_Fp>(__f), allocator<_Fp>()) {}

    _LIBCPP_INLINE_VISIBILITY
    __value_func(const __value_func& __f)
    {
        if (__f.__f_ == 0)
            __f_ = 0;
        else if ((void*)__f.__f_ == &__f.__buf_)
        {
            __f_ = __as_base(&__buf_);
            __f.__f_->__clone(__f_);
        }
        else
            __f_ = __f.__f_->__clone();
    }

    _LIBCPP_INLINE_VISIBILITY
    __value_func(__value_func&& __f) _NOEXCEPT
    {
        if (__f.__f_ == 0)
            __f_ = 0;
        else if ((void*)__f.__f_ == &__f.__buf_)
        {
            __f_ = __as_base(&__buf_);
            __f.__f_->__clone(__f_);
        }
        else
        {
            __f_ = __f.__f_;
            __f.__f_ = 0;
        }
    }

    _LIBCPP_INLINE_VISIBILITY
    ~__value_func()
    {
        if ((void*)__f_ == &__buf_)
            __f_->destroy();
        else if (__f_)
            __f_->destroy_deallocate();
    }

    _LIBCPP_INLINE_VISIBILITY
    __value_func& operator=(__value_func&& __f)
    {
        *this = nullptr;
        if (__f.__f_ == 0)
            __f_ = 0;
        else if ((void*)__f.__f_ == &__f.__buf_)
        {
            __f_ = __as_base(&__buf_);
            __f.__f_->__clone(__f_);
        }
        else
        {
            __f_ = __f.__f_;
            __f.__f_ = 0;
        }
        return *this;
    }

    _LIBCPP_INLINE_VISIBILITY
    __value_func& operator=(nullptr_t)
    {
        __func* __f = __f_;
        __f_ = 0;
        if ((void*)__f == &__buf_)
            __f->destroy();
        else if (__f)
            __f->destroy_deallocate();
        return *this;
    }

    _LIBCPP_INLINE_VISIBILITY
    _Rp operator()(_ArgTypes&&... __args) const
    {
        if (__f_ == 0)
            __throw_bad_function_call();
        return (*__f_)(_VSTD::forward<_ArgTypes>(__args)...);
    }

    _LIBCPP_INLINE_VISIBILITY
    void swap(__value_func& __f) _NOEXCEPT
    {
        if (&__f == this)
            return;
        if ((void*)__f_ == &__buf_ && (void*)__f.__f_ == &__f.__buf_)
        {
            typename aligned_storage<sizeof(__buf_)>::type __tempbuf;
            __func* __t = __as_base(&__tempbuf);
            __f_->__clone(__t);
            __f_->destroy();
            __f_ = 0;
            __f.__f_->__clone(__as_base(&__buf_));
            __f.__f_->destroy();
            __f.__f_ = 0;
            __f_ = __as_base(&__buf_);
            __t->__clone(__as_base(&__f.__buf_));
            __t->destroy();
            __f.__f_ = __as_base(&__f.__buf_);
        }
        else if ((void*)__f_ == &__buf_)
        {
            __f_->__clone(__as_base(                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                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