flat-include.hpp

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namespace std { inline namespace __1 { } }
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# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstddef" 1 3
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# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/stddef.h" 1 3 4
# 51 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/stddef.h" 3 4
typedef long int ptrdiff_t;
# 62 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/stddef.h" 3 4
typedef long unsigned int size_t;
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# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/__stddef_max_align_t.h" 3 4
typedef long double max_align_t;
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# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__nullptr" 1 3
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# 55 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__nullptr" 3
namespace std
{
    typedef decltype(nullptr) nullptr_t;
}
# 47 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstddef" 2 3

namespace std { inline namespace __1 {

using ::ptrdiff_t;
using ::size_t;




using ::max_align_t;




} }


namespace std
{
enum class byte : unsigned char {};

constexpr byte operator| (byte __lhs, byte __rhs) noexcept
{
    return static_cast<byte>(
      static_cast<unsigned char>(
         static_cast<unsigned int>(__lhs) | static_cast<unsigned int>(__rhs)
    ));
}

constexpr byte& operator|=(byte& __lhs, byte __rhs) noexcept
{ return __lhs = __lhs | __rhs; }

constexpr byte operator& (byte __lhs, byte __rhs) noexcept
{
    return static_cast<byte>(
      static_cast<unsigned char>(
         static_cast<unsigned int>(__lhs) & static_cast<unsigned int>(__rhs)
    ));
}

constexpr byte& operator&=(byte& __lhs, byte __rhs) noexcept
{ return __lhs = __lhs & __rhs; }

constexpr byte operator^ (byte __lhs, byte __rhs) noexcept
{
    return static_cast<byte>(
      static_cast<unsigned char>(
         static_cast<unsigned int>(__lhs) ^ static_cast<unsigned int>(__rhs)
    ));
}

constexpr byte& operator^=(byte& __lhs, byte __rhs) noexcept
{ return __lhs = __lhs ^ __rhs; }

constexpr byte operator~ (byte __b) noexcept
{
    return static_cast<byte>(
      static_cast<unsigned char>(
        ~static_cast<unsigned int>(__b)
    ));
}

}


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 1 3
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# 411 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3


namespace std { inline namespace __1 {

template <class _T1, class _T2> struct __attribute__ ((__type_visibility__("default"))) pair;
template <class _Tp> class __attribute__ ((__type_visibility__("default"))) reference_wrapper;
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) hash;

template <class>
struct __void_t { typedef void type; };

template <class _Tp>
struct __identity { typedef _Tp type; };

template <class _Tp, bool>
struct __attribute__ ((__type_visibility__("default"))) __dependent_type : public _Tp {};

template <bool _Bp, class _If, class _Then>
    struct __attribute__ ((__type_visibility__("default"))) conditional {typedef _If type;};
template <class _If, class _Then>
    struct __attribute__ ((__type_visibility__("default"))) conditional<false, _If, _Then> {typedef _Then type;};


template <bool _Bp, class _If, class _Then> using conditional_t = typename conditional<_Bp, _If, _Then>::type;


template <bool, class _Tp> struct __attribute__ ((__type_visibility__("default"))) __lazy_enable_if {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) __lazy_enable_if<true, _Tp> {typedef typename _Tp::type type;};

template <bool, class _Tp = void> struct __attribute__ ((__type_visibility__("default"))) enable_if {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) enable_if<true, _Tp> {typedef _Tp type;};


template <bool _Bp, class _Tp = void> using enable_if_t = typename enable_if<_Bp, _Tp>::type;





template <class _Tp>
inline constexpr
__attribute__((__no_sanitize__("cfi"))) __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
addressof(_Tp& __x) noexcept
{
    return __builtin_addressof(__x);
}
# 513 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp> _Tp* addressof(const _Tp&&) noexcept = delete;


struct __two {char __lx[2];};



template <class _Tp, _Tp __v>
struct __attribute__ ((__type_visibility__("default"))) integral_constant
{
    static constexpr const _Tp value = __v;
    typedef _Tp value_type;
    typedef integral_constant type;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        constexpr operator value_type() const noexcept {return value;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
         constexpr value_type operator ()() const noexcept {return value;}

};

template <class _Tp, _Tp __v>
constexpr const _Tp integral_constant<_Tp, __v>::value;


template <bool __b>
using bool_constant = integral_constant<bool, __b>;





typedef bool_constant<(true)> true_type;
typedef bool_constant<(false)> false_type;





template <bool _Last, class ..._Preds>
struct __lazy_and_impl;

template <class ..._Preds>
struct __lazy_and_impl<false, _Preds...> : false_type {};

template <>
struct __lazy_and_impl<true> : true_type {};

template <class _Pred>
struct __lazy_and_impl<true, _Pred> : integral_constant<bool, _Pred::type::value> {};

template <class _Hp, class ..._Tp>
struct __lazy_and_impl<true, _Hp, _Tp...> : __lazy_and_impl<_Hp::type::value, _Tp...> {};

template <class _P1, class ..._Pr>
struct __lazy_and : __lazy_and_impl<_P1::type::value, _Pr...> {};



template <bool _List, class ..._Preds>
struct __lazy_or_impl;

template <class ..._Preds>
struct __lazy_or_impl<true, _Preds...> : true_type {};

template <>
struct __lazy_or_impl<false> : false_type {};

template <class _Hp, class ..._Tp>
struct __lazy_or_impl<false, _Hp, _Tp...>
        : __lazy_or_impl<_Hp::type::value, _Tp...> {};

template <class _P1, class ..._Pr>
struct __lazy_or : __lazy_or_impl<_P1::type::value, _Pr...> {};



template <class _Pred>
struct __lazy_not : integral_constant<bool, !_Pred::type::value> {};


template<class...> struct __and_;
template<> struct __and_<> : true_type {};

template<class _B0> struct __and_<_B0> : _B0 {};

template<class _B0, class _B1>
struct __and_<_B0, _B1> : conditional<_B0::value, _B1, _B0>::type {};

template<class _B0, class _B1, class _B2, class... _Bn>
struct __and_<_B0, _B1, _B2, _Bn...>
        : conditional<_B0::value, __and_<_B1, _B2, _Bn...>, _B0>::type {};


template<class...> struct __or_;
template<> struct __or_<> : false_type {};

template<class _B0> struct __or_<_B0> : _B0 {};

template<class _B0, class _B1>
struct __or_<_B0, _B1> : conditional<_B0::value, _B0, _B1>::type {};

template<class _B0, class _B1, class _B2, class... _Bn>
struct __or_<_B0, _B1, _B2, _Bn...>
        : conditional<_B0::value, _B0, __or_<_B1, _B2, _Bn...> >::type {};


template<class _Tp>
struct __not_ : conditional<_Tp::value, false_type, true_type>::type {};





template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_const : public false_type {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_const<_Tp const> : public true_type {};


template <class _Tp>
inline constexpr bool is_const_v
    = is_const<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_volatile : public false_type {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_volatile<_Tp volatile> : public true_type {};


template <class _Tp>
inline constexpr bool is_volatile_v
    = is_volatile<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_const {typedef _Tp type;};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_const<const _Tp> {typedef _Tp type;};

template <class _Tp> using remove_const_t = typename remove_const<_Tp>::type;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_volatile {typedef _Tp type;};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_volatile<volatile _Tp> {typedef _Tp type;};

template <class _Tp> using remove_volatile_t = typename remove_volatile<_Tp>::type;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_cv
{typedef typename remove_volatile<typename remove_const<_Tp>::type>::type type;};

template <class _Tp> using remove_cv_t = typename remove_cv<_Tp>::type;




template <class _Tp> struct __libcpp_is_void : public false_type {};
template <> struct __libcpp_is_void<void> : public true_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_void
    : public __libcpp_is_void<typename remove_cv<_Tp>::type> {};


template <class _Tp>
inline constexpr bool is_void_v
    = is_void<_Tp>::value;




template <class _Tp> struct __is_nullptr_t_impl : public false_type {};
template <> struct __is_nullptr_t_impl<nullptr_t> : public true_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) __is_nullptr_t
    : public __is_nullptr_t_impl<typename remove_cv<_Tp>::type> {};


template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_null_pointer
    : public __is_nullptr_t_impl<typename remove_cv<_Tp>::type> {};


template <class _Tp>
inline constexpr bool is_null_pointer_v
    = is_null_pointer<_Tp>::value;





template <class _Tp> struct __libcpp_is_integral : public false_type {};
template <> struct __libcpp_is_integral<bool> : public true_type {};
template <> struct __libcpp_is_integral<char> : public true_type {};
template <> struct __libcpp_is_integral<signed char> : public true_type {};
template <> struct __libcpp_is_integral<unsigned char> : public true_type {};
template <> struct __libcpp_is_integral<wchar_t> : public true_type {};




template <> struct __libcpp_is_integral<char16_t> : public true_type {};
template <> struct __libcpp_is_integral<char32_t> : public true_type {};

template <> struct __libcpp_is_integral<short> : public true_type {};
template <> struct __libcpp_is_integral<unsigned short> : public true_type {};
template <> struct __libcpp_is_integral<int> : public true_type {};
template <> struct __libcpp_is_integral<unsigned int> : public true_type {};
template <> struct __libcpp_is_integral<long> : public true_type {};
template <> struct __libcpp_is_integral<unsigned long> : public true_type {};
template <> struct __libcpp_is_integral<long long> : public true_type {};
template <> struct __libcpp_is_integral<unsigned long long> : public true_type {};

template <> struct __libcpp_is_integral<__int128_t> : public true_type {};
template <> struct __libcpp_is_integral<__uint128_t> : public true_type {};


template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_integral
    : public __libcpp_is_integral<typename remove_cv<_Tp>::type> {};


template <class _Tp>
inline constexpr bool is_integral_v
    = is_integral<_Tp>::value;




template <class _Tp> struct __libcpp_is_floating_point : public false_type {};
template <> struct __libcpp_is_floating_point<float> : public true_type {};
template <> struct __libcpp_is_floating_point<double> : public true_type {};
template <> struct __libcpp_is_floating_point<long double> : public true_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_floating_point
    : public __libcpp_is_floating_point<typename remove_cv<_Tp>::type> {};


template <class _Tp>
inline constexpr bool is_floating_point_v
    = is_floating_point<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_array
    : public false_type {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_array<_Tp[]>
    : public true_type {};
template <class _Tp, size_t _Np> struct __attribute__ ((__type_visibility__("default"))) is_array<_Tp[_Np]>
    : public true_type {};


template <class _Tp>
inline constexpr bool is_array_v
    = is_array<_Tp>::value;




template <class _Tp> struct __libcpp_is_pointer : public false_type {};
template <class _Tp> struct __libcpp_is_pointer<_Tp*> : public true_type {};

template <class _Tp> struct __libcpp_remove_objc_qualifiers { typedef _Tp type; };







template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_pointer
    : public __libcpp_is_pointer<typename __libcpp_remove_objc_qualifiers<typename remove_cv<_Tp>::type>::type> {};


template <class _Tp>
inline constexpr bool is_pointer_v
    = is_pointer<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_lvalue_reference : public false_type {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_lvalue_reference<_Tp&> : public true_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_rvalue_reference : public false_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_rvalue_reference<_Tp&&> : public true_type {};


template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_reference : public false_type {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_reference<_Tp&> : public true_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_reference<_Tp&&> : public true_type {};



template <class _Tp>
inline constexpr bool is_reference_v
    = is_reference<_Tp>::value;

template <class _Tp>
inline constexpr bool is_lvalue_reference_v
    = is_lvalue_reference<_Tp>::value;

template <class _Tp>
inline constexpr bool is_rvalue_reference_v
    = is_rvalue_reference<_Tp>::value;





template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_union
    : public integral_constant<bool, __is_union(_Tp)> {};
# 839 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline constexpr bool is_union_v
    = is_union<_Tp>::value;






template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_class
    : public integral_constant<bool, __is_class(_Tp)> {};
# 865 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline constexpr bool is_class_v
    = is_class<_Tp>::value;




template <class _Tp, class _Up> struct __attribute__ ((__type_visibility__("default"))) is_same : public false_type {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_same<_Tp, _Tp> : public true_type {};


template <class _Tp, class _Up>
inline constexpr bool is_same_v
    = is_same<_Tp, _Up>::value;




namespace __libcpp_is_function_imp
{
struct __dummy_type {};
template <class _Tp> char __test(_Tp*);
template <class _Tp> char __test(__dummy_type);
template <class _Tp> __two __test(...);
template <class _Tp> _Tp& __source(int);
template <class _Tp> __dummy_type __source(...);
}

template <class _Tp, bool = is_class<_Tp>::value ||
                            is_union<_Tp>::value ||
                            is_void<_Tp>::value ||
                            is_reference<_Tp>::value ||
                            __is_nullptr_t<_Tp>::value >
struct __libcpp_is_function
    : public integral_constant<bool, sizeof(__libcpp_is_function_imp::__test<_Tp>(__libcpp_is_function_imp::__source<_Tp>(0))) == 1>
    {};
template <class _Tp> struct __libcpp_is_function<_Tp, true> : public false_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_function
    : public __libcpp_is_function<_Tp> {};


template <class _Tp>
inline constexpr bool is_function_v
    = is_function<_Tp>::value;
# 918 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _MP, bool _IsMemberFunctionPtr, bool _IsMemberObjectPtr>
struct __member_pointer_traits_imp
{
};


template <class _Tp> struct __libcpp_is_member_function_pointer
    : public false_type {};

template <class _Ret, class _Class>
struct __libcpp_is_member_function_pointer<_Ret _Class::*>
    : public is_function<_Ret> {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_member_function_pointer
    : public __libcpp_is_member_function_pointer<typename remove_cv<_Tp>::type>::type {};


template <class _Tp>
inline constexpr bool is_member_function_pointer_v
    = is_member_function_pointer<_Tp>::value;




template <class _Tp> struct __libcpp_is_member_pointer : public false_type {};
template <class _Tp, class _Up> struct __libcpp_is_member_pointer<_Tp _Up::*> : public true_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_member_pointer
    : public __libcpp_is_member_pointer<typename remove_cv<_Tp>::type> {};


template <class _Tp>
inline constexpr bool is_member_pointer_v
    = is_member_pointer<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_member_object_pointer
    : public integral_constant<bool, is_member_pointer<_Tp>::value &&
                                    !is_member_function_pointer<_Tp>::value> {};


template <class _Tp>
inline constexpr bool is_member_object_pointer_v
    = is_member_object_pointer<_Tp>::value;






template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_enum
    : public integral_constant<bool, __is_enum(_Tp)> {};
# 990 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline constexpr bool is_enum_v
    = is_enum<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_arithmetic
    : public integral_constant<bool, is_integral<_Tp>::value ||
                                     is_floating_point<_Tp>::value> {};


template <class _Tp>
inline constexpr bool is_arithmetic_v
    = is_arithmetic<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_fundamental
    : public integral_constant<bool, is_void<_Tp>::value ||
                                     __is_nullptr_t<_Tp>::value ||
                                     is_arithmetic<_Tp>::value> {};


template <class _Tp>
inline constexpr bool is_fundamental_v
    = is_fundamental<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_scalar
    : public integral_constant<bool, is_arithmetic<_Tp>::value ||
                                     is_member_pointer<_Tp>::value ||
                                     is_pointer<_Tp>::value ||
                                     __is_nullptr_t<_Tp>::value ||
                                     is_enum<_Tp>::value > {};

template <> struct __attribute__ ((__type_visibility__("default"))) is_scalar<nullptr_t> : public true_type {};


template <class _Tp>
inline constexpr bool is_scalar_v
    = is_scalar<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_object
    : public integral_constant<bool, is_scalar<_Tp>::value ||
                                     is_array<_Tp>::value ||
                                     is_union<_Tp>::value ||
                                     is_class<_Tp>::value > {};


template <class _Tp>
inline constexpr bool is_object_v
    = is_object<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_compound
    : public integral_constant<bool, !is_fundamental<_Tp>::value> {};


template <class _Tp>
inline constexpr bool is_compound_v
    = is_compound<_Tp>::value;





struct __is_referenceable_impl {
    template <class _Tp> static _Tp& __test(int);
    template <class _Tp> static __two __test(...);
};

template <class _Tp>
struct __is_referenceable : integral_constant<bool,
    !is_same<decltype(__is_referenceable_impl::__test<_Tp>(0)), __two>::value> {};




template <class _Tp, bool = is_reference<_Tp>::value ||
                            is_function<_Tp>::value ||
                            is_const<_Tp>::value >
struct __add_const {typedef _Tp type;};

template <class _Tp>
struct __add_const<_Tp, false> {typedef const _Tp type;};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) add_const
    {typedef typename __add_const<_Tp>::type type;};


template <class _Tp> using add_const_t = typename add_const<_Tp>::type;




template <class _Tp, bool = is_reference<_Tp>::value ||
                            is_function<_Tp>::value ||
                            is_volatile<_Tp>::value >
struct __add_volatile {typedef _Tp type;};

template <class _Tp>
struct __add_volatile<_Tp, false> {typedef volatile _Tp type;};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) add_volatile
    {typedef typename __add_volatile<_Tp>::type type;};


template <class _Tp> using add_volatile_t = typename add_volatile<_Tp>::type;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) add_cv
    {typedef typename add_const<typename add_volatile<_Tp>::type>::type type;};


template <class _Tp> using add_cv_t = typename add_cv<_Tp>::type;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_reference {typedef _Tp type;};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_reference<_Tp&> {typedef _Tp type;};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_reference<_Tp&&> {typedef _Tp type;};



template <class _Tp> using remove_reference_t = typename remove_reference<_Tp>::type;




template <class _Tp, bool = __is_referenceable<_Tp>::value> struct __add_lvalue_reference_impl { typedef _Tp type; };
template <class _Tp > struct __add_lvalue_reference_impl<_Tp, true> { typedef _Tp& type; };

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) add_lvalue_reference
{typedef typename __add_lvalue_reference_impl<_Tp>::type type;};


template <class _Tp> using add_lvalue_reference_t = typename add_lvalue_reference<_Tp>::type;




template <class _Tp, bool = __is_referenceable<_Tp>::value> struct __add_rvalue_reference_impl { typedef _Tp type; };
template <class _Tp > struct __add_rvalue_reference_impl<_Tp, true> { typedef _Tp&& type; };

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) add_rvalue_reference
{typedef typename __add_rvalue_reference_impl<_Tp>::type type;};


template <class _Tp> using add_rvalue_reference_t = typename add_rvalue_reference<_Tp>::type;






template <class _Tp> _Tp&& __declval(int);
template <class _Tp> _Tp __declval(long);

template <class _Tp>
decltype(std::__1::__declval<_Tp>(0))
declval() noexcept;
# 1175 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
struct __uncvref {
    typedef typename remove_cv<typename remove_reference<_Tp>::type>::type type;
};

template <class _Tp>
struct __unconstref {
    typedef typename remove_const<typename remove_reference<_Tp>::type>::type type;
};


template <class _Tp>
using __uncvref_t = typename __uncvref<_Tp>::type;




template <class _Tp, class _Up>
struct __is_same_uncvref : is_same<typename __uncvref<_Tp>::type,
                                   typename __uncvref<_Up>::type> {};
# 1205 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
struct __any
{
    __any(...);
};



template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_pointer {typedef _Tp type;};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_pointer<_Tp*> {typedef _Tp type;};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_pointer<_Tp* const> {typedef _Tp type;};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_pointer<_Tp* volatile> {typedef _Tp type;};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_pointer<_Tp* const volatile> {typedef _Tp type;};


template <class _Tp> using remove_pointer_t = typename remove_pointer<_Tp>::type;




template <class _Tp,
        bool = __is_referenceable<_Tp>::value ||
                is_same<typename remove_cv<_Tp>::type, void>::value>
struct __add_pointer_impl
    {typedef typename remove_reference<_Tp>::type* type;};
template <class _Tp> struct __add_pointer_impl<_Tp, false>
    {typedef _Tp type;};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) add_pointer
    {typedef typename __add_pointer_impl<_Tp>::type type;};


template <class _Tp> using add_pointer_t = typename add_pointer<_Tp>::type;
# 1247 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp, bool = is_integral<_Tp>::value>
struct __libcpp_is_signed_impl : public bool_constant<(_Tp(-1) < _Tp(0))> {};

template <class _Tp>
struct __libcpp_is_signed_impl<_Tp, false> : public true_type {};

template <class _Tp, bool = is_arithmetic<_Tp>::value>
struct __libcpp_is_signed : public __libcpp_is_signed_impl<_Tp> {};

template <class _Tp> struct __libcpp_is_signed<_Tp, false> : public false_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_signed : public __libcpp_is_signed<_Tp> {};


template <class _Tp>
inline constexpr bool is_signed_v
    = is_signed<_Tp>::value;




template <class _Tp, bool = is_integral<_Tp>::value>
struct __libcpp_is_unsigned_impl : public bool_constant<(_Tp(0) < _Tp(-1))> {};

template <class _Tp>
struct __libcpp_is_unsigned_impl<_Tp, false> : public false_type {};

template <class _Tp, bool = is_arithmetic<_Tp>::value>
struct __libcpp_is_unsigned : public __libcpp_is_unsigned_impl<_Tp> {};

template <class _Tp> struct __libcpp_is_unsigned<_Tp, false> : public false_type {};

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_unsigned : public __libcpp_is_unsigned<_Tp> {};


template <class _Tp>
inline constexpr bool is_unsigned_v
    = is_unsigned<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) rank
    : public integral_constant<size_t, 0> {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) rank<_Tp[]>
    : public integral_constant<size_t, rank<_Tp>::value + 1> {};
template <class _Tp, size_t _Np> struct __attribute__ ((__type_visibility__("default"))) rank<_Tp[_Np]>
    : public integral_constant<size_t, rank<_Tp>::value + 1> {};


template <class _Tp>
inline constexpr size_t rank_v
    = rank<_Tp>::value;




template <class _Tp, unsigned _Ip = 0> struct __attribute__ ((__type_visibility__("default"))) extent
    : public integral_constant<size_t, 0> {};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) extent<_Tp[], 0>
    : public integral_constant<size_t, 0> {};
template <class _Tp, unsigned _Ip> struct __attribute__ ((__type_visibility__("default"))) extent<_Tp[], _Ip>
    : public integral_constant<size_t, extent<_Tp, _Ip-1>::value> {};
template <class _Tp, size_t _Np> struct __attribute__ ((__type_visibility__("default"))) extent<_Tp[_Np], 0>
    : public integral_constant<size_t, _Np> {};
template <class _Tp, size_t _Np, unsigned _Ip> struct __attribute__ ((__type_visibility__("default"))) extent<_Tp[_Np], _Ip>
    : public integral_constant<size_t, extent<_Tp, _Ip-1>::value> {};


template <class _Tp, unsigned _Ip = 0>
inline constexpr size_t extent_v
    = extent<_Tp, _Ip>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_extent
    {typedef _Tp type;};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_extent<_Tp[]>
    {typedef _Tp type;};
template <class _Tp, size_t _Np> struct __attribute__ ((__type_visibility__("default"))) remove_extent<_Tp[_Np]>
    {typedef _Tp type;};


template <class _Tp> using remove_extent_t = typename remove_extent<_Tp>::type;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_all_extents
    {typedef _Tp type;};
template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) remove_all_extents<_Tp[]>
    {typedef typename remove_all_extents<_Tp>::type type;};
template <class _Tp, size_t _Np> struct __attribute__ ((__type_visibility__("default"))) remove_all_extents<_Tp[_Np]>
    {typedef typename remove_all_extents<_Tp>::type type;};


template <class _Tp> using remove_all_extents_t = typename remove_all_extents<_Tp>::type;




template <class _Up, bool>
struct __decay {
    typedef typename remove_cv<_Up>::type type;
};

template <class _Up>
struct __decay<_Up, true> {
public:
    typedef typename conditional
                     <
                         is_array<_Up>::value,
                         typename remove_extent<_Up>::type*,
                         typename conditional
                         <
                              is_function<_Up>::value,
                              typename add_pointer<_Up>::type,
                              typename remove_cv<_Up>::type
                         >::type
                     >::type type;
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) decay
{
private:
    typedef typename remove_reference<_Tp>::type _Up;
public:
    typedef typename __decay<_Up, __is_referenceable<_Up>::value>::type type;
};


template <class _Tp> using decay_t = typename decay<_Tp>::type;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_abstract
    : public integral_constant<bool, __is_abstract(_Tp)> {};


template <class _Tp>
inline constexpr bool is_abstract_v
    = is_abstract<_Tp>::value;





template <class _Tp> struct __attribute__ ((__type_visibility__("default")))
__libcpp_is_final : public integral_constant<bool, __is_final(_Tp)> {};






template <class _Tp> struct __attribute__ ((__type_visibility__("default")))
is_final : public integral_constant<bool, __is_final(_Tp)> {};



template <class _Tp>
inline constexpr bool is_final_v
    = is_final<_Tp>::value;





template <class _Tp> struct __attribute__ ((__type_visibility__("default")))
is_aggregate : public integral_constant<bool, __is_aggregate(_Tp)> {};


template <class _Tp>
inline constexpr bool is_aggregate_v
    = is_aggregate<_Tp>::value;
# 1433 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Bp, class _Dp>
struct __attribute__ ((__type_visibility__("default"))) is_base_of
    : public integral_constant<bool, __is_base_of(_Bp, _Dp)> {};
# 1465 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Bp, class _Dp>
inline constexpr bool is_base_of_v
    = is_base_of<_Bp, _Dp>::value;






template <class _T1, class _T2> struct __attribute__ ((__type_visibility__("default"))) is_convertible
    : public integral_constant<bool, __is_convertible_to(_T1, _T2) &&
                                     !is_abstract<_T2>::value> {};
# 1556 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _From, class _To>
inline constexpr bool is_convertible_v
    = is_convertible<_From, _To>::value;






template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_empty
    : public integral_constant<bool, __is_empty(_Tp)> {};
# 1593 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline constexpr bool is_empty_v
    = is_empty<_Tp>::value;






template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_polymorphic
    : public integral_constant<bool, __is_polymorphic(_Tp)> {};
# 1619 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline constexpr bool is_polymorphic_v
    = is_polymorphic<_Tp>::value;






template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) has_virtual_destructor
    : public integral_constant<bool, __has_virtual_destructor(_Tp)> {};
# 1639 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline constexpr bool has_virtual_destructor_v
    = has_virtual_destructor<_Tp>::value;






template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) has_unique_object_representations
    : public integral_constant<bool,
       __has_unique_object_representations(remove_cv_t<remove_all_extents_t<_Tp>>)> {};


template <class _Tp>
inline constexpr bool has_unique_object_representations_v
    = has_unique_object_representations<_Tp>::value;






template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) alignment_of
    : public integral_constant<size_t, alignof(_Tp)> {};


template <class _Tp>
inline constexpr size_t alignment_of_v
    = alignment_of<_Tp>::value;




template <class _Hp, class _Tp>
struct __type_list
{
    typedef _Hp _Head;
    typedef _Tp _Tail;
};

struct __nat
{

    __nat() = delete;
    __nat(const __nat&) = delete;
    __nat& operator=(const __nat&) = delete;
    ~__nat() = delete;

};

template <class _Tp>
struct __align_type
{
    static const size_t value = __alignof(_Tp);
    typedef _Tp type;
};

struct __struct_double {long double __lx;};
struct __struct_double4 {double __lx[4];};

typedef
    __type_list<__align_type<unsigned char>,
    __type_list<__align_type<unsigned short>,
    __type_list<__align_type<unsigned int>,
    __type_list<__align_type<unsigned long>,
    __type_list<__align_type<unsigned long long>,
    __type_list<__align_type<double>,
    __type_list<__align_type<long double>,
    __type_list<__align_type<__struct_double>,
    __type_list<__align_type<__struct_double4>,
    __type_list<__align_type<int*>,
    __nat
    > > > > > > > > > > __all_types;

template <class _TL, size_t _Align> struct __find_pod;

template <class _Hp, size_t _Align>
struct __find_pod<__type_list<_Hp, __nat>, _Align>
{
    typedef typename conditional<
                             _Align == _Hp::value,
                             typename _Hp::type,
                             void
                         >::type type;
};

template <class _Hp, class _Tp, size_t _Align>
struct __find_pod<__type_list<_Hp, _Tp>, _Align>
{
    typedef typename conditional<
                             _Align == _Hp::value,
                             typename _Hp::type,
                             typename __find_pod<_Tp, _Align>::type
                         >::type type;
};

template <class _TL, size_t _Len> struct __find_max_align;

template <class _Hp, size_t _Len>
struct __find_max_align<__type_list<_Hp, __nat>, _Len> : public integral_constant<size_t, _Hp::value> {};

template <size_t _Len, size_t _A1, size_t _A2>
struct __select_align
{
private:
    static const size_t __min = _A2 < _A1 ? _A2 : _A1;
    static const size_t __max = _A1 < _A2 ? _A2 : _A1;
public:
    static const size_t value = _Len < __max ? __min : __max;
};

template <class _Hp, class _Tp, size_t _Len>
struct __find_max_align<__type_list<_Hp, _Tp>, _Len>
    : public integral_constant<size_t, __select_align<_Len, _Hp::value, __find_max_align<_Tp, _Len>::value>::value> {};

template <size_t _Len, size_t _Align = __find_max_align<__all_types, _Len>::value>
struct __attribute__ ((__type_visibility__("default"))) aligned_storage
{
    typedef typename __find_pod<__all_types, _Align>::type _Aligner;
    static_assert(!is_void<_Aligner>::value, "");
    union type
    {
        _Aligner __align;
        unsigned char __data[(_Len + _Align - 1)/_Align * _Align];
    };
};


template <size_t _Len, size_t _Align = __find_max_align<__all_types, _Len>::value>
    using aligned_storage_t = typename aligned_storage<_Len, _Align>::type;
# 1782 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x1>{ struct alignas(0x1) type { unsigned char __lx[(_Len + 0x1 - 1)/0x1 * 0x1]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x2>{ struct alignas(0x2) type { unsigned char __lx[(_Len + 0x2 - 1)/0x2 * 0x2]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x4>{ struct alignas(0x4) type { unsigned char __lx[(_Len + 0x4 - 1)/0x4 * 0x4]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x8>{ struct alignas(0x8) type { unsigned char __lx[(_Len + 0x8 - 1)/0x8 * 0x8]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x10>{ struct alignas(0x10) type { unsigned char __lx[(_Len + 0x10 - 1)/0x10 * 0x10]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x20>{ struct alignas(0x20) type { unsigned char __lx[(_Len + 0x20 - 1)/0x20 * 0x20]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x40>{ struct alignas(0x40) type { unsigned char __lx[(_Len + 0x40 - 1)/0x40 * 0x40]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x80>{ struct alignas(0x80) type { unsigned char __lx[(_Len + 0x80 - 1)/0x80 * 0x80]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x100>{ struct alignas(0x100) type { unsigned char __lx[(_Len + 0x100 - 1)/0x100 * 0x100]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x200>{ struct alignas(0x200) type { unsigned char __lx[(_Len + 0x200 - 1)/0x200 * 0x200]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x400>{ struct alignas(0x400) type { unsigned char __lx[(_Len + 0x400 - 1)/0x400 * 0x400]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x800>{ struct alignas(0x800) type { unsigned char __lx[(_Len + 0x800 - 1)/0x800 * 0x800]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x1000>{ struct alignas(0x1000) type { unsigned char __lx[(_Len + 0x1000 - 1)/0x1000 * 0x1000]; };};
template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x2000>{ struct alignas(0x2000) type { unsigned char __lx[(_Len + 0x2000 - 1)/0x2000 * 0x2000]; };};


template <size_t _Len>struct __attribute__ ((__type_visibility__("default"))) aligned_storage<_Len, 0x4000>{ struct alignas(0x4000) type { unsigned char __lx[(_Len + 0x4000 - 1)/0x4000 * 0x4000]; };};
# 1807 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <size_t _I0, size_t ..._In>
struct __static_max;

template <size_t _I0>
struct __static_max<_I0>
{
    static const size_t value = _I0;
};

template <size_t _I0, size_t _I1, size_t ..._In>
struct __static_max<_I0, _I1, _In...>
{
    static const size_t value = _I0 >= _I1 ? __static_max<_I0, _In...>::value :
                                             __static_max<_I1, _In...>::value;
};

template <size_t _Len, class _Type0, class ..._Types>
struct aligned_union
{
    static const size_t alignment_value = __static_max<__alignof(_Type0),
                                                       __alignof(_Types)...>::value;
    static const size_t __len = __static_max<_Len, sizeof(_Type0),
                                             sizeof(_Types)...>::value;
    typedef typename aligned_storage<__len, alignment_value>::type type;
};


template <size_t _Len, class ..._Types> using aligned_union_t = typename aligned_union<_Len, _Types...>::type;




template <class _Tp>
struct __numeric_type
{
   static void __test(...);
   static float __test(float);
   static double __test(char);
   static double __test(int);
   static double __test(unsigned);
   static double __test(long);
   static double __test(unsigned long);
   static double __test(long long);
   static double __test(unsigned long long);
   static double __test(double);
   static long double __test(long double);

   typedef decltype(__test(declval<_Tp>())) type;
   static const bool value = !is_same<type, void>::value;
};

template <>
struct __numeric_type<void>
{
   static const bool value = true;
};



template <class _A1, class _A2 = void, class _A3 = void,
          bool = __numeric_type<_A1>::value &&
                 __numeric_type<_A2>::value &&
                 __numeric_type<_A3>::value>
class __promote_imp
{
public:
    static const bool value = false;
};

template <class _A1, class _A2, class _A3>
class __promote_imp<_A1, _A2, _A3, true>
{
private:
    typedef typename __promote_imp<_A1>::type __type1;
    typedef typename __promote_imp<_A2>::type __type2;
    typedef typename __promote_imp<_A3>::type __type3;
public:
    typedef decltype(__type1() + __type2() + __type3()) type;
    static const bool value = true;
};

template <class _A1, class _A2>
class __promote_imp<_A1, _A2, void, true>
{
private:
    typedef typename __promote_imp<_A1>::type __type1;
    typedef typename __promote_imp<_A2>::type __type2;
public:
    typedef decltype(__type1() + __type2()) type;
    static const bool value = true;
};

template <class _A1>
class __promote_imp<_A1, void, void, true>
{
public:
    typedef typename __numeric_type<_A1>::type type;
    static const bool value = true;
};

template <class _A1, class _A2 = void, class _A3 = void>
class __promote : public __promote_imp<_A1, _A2, _A3> {};



typedef
    __type_list<signed char,
    __type_list<signed short,
    __type_list<signed int,
    __type_list<signed long,
    __type_list<signed long long,

    __type_list<__int128_t,

    __nat

    >

    > > > > > __signed_types;

typedef
    __type_list<unsigned char,
    __type_list<unsigned short,
    __type_list<unsigned int,
    __type_list<unsigned long,
    __type_list<unsigned long long,

    __type_list<__uint128_t,

    __nat

    >

    > > > > > __unsigned_types;

template <class _TypeList, size_t _Size, bool = _Size <= sizeof(typename _TypeList::_Head)> struct __find_first;

template <class _Hp, class _Tp, size_t _Size>
struct __find_first<__type_list<_Hp, _Tp>, _Size, true>
{
    typedef _Hp type;
};

template <class _Hp, class _Tp, size_t _Size>
struct __find_first<__type_list<_Hp, _Tp>, _Size, false>
{
    typedef typename __find_first<_Tp, _Size>::type type;
};

template <class _Tp, class _Up, bool = is_const<typename remove_reference<_Tp>::type>::value,
                             bool = is_volatile<typename remove_reference<_Tp>::type>::value>
struct __apply_cv
{
    typedef _Up type;
};

template <class _Tp, class _Up>
struct __apply_cv<_Tp, _Up, true, false>
{
    typedef const _Up type;
};

template <class _Tp, class _Up>
struct __apply_cv<_Tp, _Up, false, true>
{
    typedef volatile _Up type;
};

template <class _Tp, class _Up>
struct __apply_cv<_Tp, _Up, true, true>
{
    typedef const volatile _Up type;
};

template <class _Tp, class _Up>
struct __apply_cv<_Tp&, _Up, false, false>
{
    typedef _Up& type;
};

template <class _Tp, class _Up>
struct __apply_cv<_Tp&, _Up, true, false>
{
    typedef const _Up& type;
};

template <class _Tp, class _Up>
struct __apply_cv<_Tp&, _Up, false, true>
{
    typedef volatile _Up& type;
};

template <class _Tp, class _Up>
struct __apply_cv<_Tp&, _Up, true, true>
{
    typedef const volatile _Up& type;
};

template <class _Tp, bool = is_integral<_Tp>::value || is_enum<_Tp>::value>
struct __make_signed {};

template <class _Tp>
struct __make_signed<_Tp, true>
{
    typedef typename __find_first<__signed_types, sizeof(_Tp)>::type type;
};

template <> struct __make_signed<bool, true> {};
template <> struct __make_signed< signed short, true> {typedef short type;};
template <> struct __make_signed<unsigned short, true> {typedef short type;};
template <> struct __make_signed< signed int, true> {typedef int type;};
template <> struct __make_signed<unsigned int, true> {typedef int type;};
template <> struct __make_signed< signed long, true> {typedef long type;};
template <> struct __make_signed<unsigned long, true> {typedef long type;};
template <> struct __make_signed< signed long long, true> {typedef long long type;};
template <> struct __make_signed<unsigned long long, true> {typedef long long type;};

template <> struct __make_signed<__int128_t, true> {typedef __int128_t type;};
template <> struct __make_signed<__uint128_t, true> {typedef __int128_t type;};


template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) make_signed
{
    typedef typename __apply_cv<_Tp, typename __make_signed<typename remove_cv<_Tp>::type>::type>::type type;
};


template <class _Tp> using make_signed_t = typename make_signed<_Tp>::type;


template <class _Tp, bool = is_integral<_Tp>::value || is_enum<_Tp>::value>
struct __make_unsigned {};

template <class _Tp>
struct __make_unsigned<_Tp, true>
{
    typedef typename __find_first<__unsigned_types, sizeof(_Tp)>::type type;
};

template <> struct __make_unsigned<bool, true> {};
template <> struct __make_unsigned< signed short, true> {typedef unsigned short type;};
template <> struct __make_unsigned<unsigned short, true> {typedef unsigned short type;};
template <> struct __make_unsigned< signed int, true> {typedef unsigned int type;};
template <> struct __make_unsigned<unsigned int, true> {typedef unsigned int type;};
template <> struct __make_unsigned< signed long, true> {typedef unsigned long type;};
template <> struct __make_unsigned<unsigned long, true> {typedef unsigned long type;};
template <> struct __make_unsigned< signed long long, true> {typedef unsigned long long type;};
template <> struct __make_unsigned<unsigned long long, true> {typedef unsigned long long type;};

template <> struct __make_unsigned<__int128_t, true> {typedef __uint128_t type;};
template <> struct __make_unsigned<__uint128_t, true> {typedef __uint128_t type;};


template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) make_unsigned
{
    typedef typename __apply_cv<_Tp, typename __make_unsigned<typename remove_cv<_Tp>::type>::type>::type type;
};


template <class _Tp> using make_unsigned_t = typename make_unsigned<_Tp>::type;
# 2106 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class ..._Tp>
struct __attribute__ ((__type_visibility__("default"))) common_type {};



template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) common_type<_Tp>
    : public common_type<_Tp, _Tp> {};



template <class _Tp, class _Up, class = void>
struct __common_type2_imp {};

template <class _Tp, class _Up>
struct __common_type2_imp<_Tp, _Up,
    typename __void_t<decltype(
        true ? std::__1::declval<_Tp>() : std::__1::declval<_Up>()
    )>::type>
{
    typedef typename decay<decltype(
        true ? std::__1::declval<_Tp>() : std::__1::declval<_Up>()
    )>::type type;
};

template <class _Tp, class _Up,
          class _DTp = typename decay<_Tp>::type,
          class _DUp = typename decay<_Up>::type>
using __common_type2 =
  typename conditional<
    is_same<_Tp, _DTp>::value && is_same<_Up, _DUp>::value,
    __common_type2_imp<_Tp, _Up>,
    common_type<_DTp, _DUp>
  >::type;

template <class _Tp, class _Up>
struct __attribute__ ((__type_visibility__("default"))) common_type<_Tp, _Up>
    : __common_type2<_Tp, _Up> {};



template <class ...Tp> struct __common_types;

template <class, class = void>
struct __common_type_impl {};

template <class _Tp, class _Up>
struct __common_type_impl<
    __common_types<_Tp, _Up>,
    typename __void_t<typename common_type<_Tp, _Up>::type>::type>
{
  typedef typename common_type<_Tp, _Up>::type type;
};

template <class _Tp, class _Up, class ..._Vp>
struct __common_type_impl<__common_types<_Tp, _Up, _Vp...>,
    typename __void_t<typename common_type<_Tp, _Up>::type>::type>
  : __common_type_impl<
      __common_types<typename common_type<_Tp, _Up>::type, _Vp...> >
{

};

template <class _Tp, class _Up, class ..._Vp>
struct __attribute__ ((__type_visibility__("default"))) common_type<_Tp, _Up, _Vp...>
    : __common_type_impl<__common_types<_Tp, _Up, _Vp...> > {};


template <class ..._Tp> using common_type_t = typename common_type<_Tp...>::type;






template<typename, typename _Tp> struct __select_2nd { typedef _Tp type; };

template <class _Tp, class _Arg>
typename __select_2nd<decltype((std::__1::declval<_Tp>() = std::__1::declval<_Arg>())), true_type>::type
__is_assignable_test(int);

template <class, class>
false_type __is_assignable_test(...);


template <class _Tp, class _Arg, bool = is_void<_Tp>::value || is_void<_Arg>::value>
struct __is_assignable_imp
    : public decltype((std::__1::__is_assignable_test<_Tp, _Arg>(0))) {};

template <class _Tp, class _Arg>
struct __is_assignable_imp<_Tp, _Arg, true>
    : public false_type
{
};

template <class _Tp, class _Arg>
struct is_assignable
    : public __is_assignable_imp<_Tp, _Arg> {};


template <class _Tp, class _Arg>
inline constexpr bool is_assignable_v
    = is_assignable<_Tp, _Arg>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_copy_assignable
    : public is_assignable<typename add_lvalue_reference<_Tp>::type,
                  typename add_lvalue_reference<typename add_const<_Tp>::type>::type> {};


template <class _Tp>
inline constexpr bool is_copy_assignable_v
    = is_copy_assignable<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_move_assignable

    : public is_assignable<typename add_lvalue_reference<_Tp>::type,
                           typename add_rvalue_reference<_Tp>::type> {};





template <class _Tp>
inline constexpr bool is_move_assignable_v
    = is_move_assignable<_Tp>::value;
# 2248 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class>
struct __is_destructible_apply { typedef int type; };

template <typename _Tp>
struct __is_destructor_wellformed {
    template <typename _Tp1>
    static char __test (
        typename __is_destructible_apply<decltype(std::__1::declval<_Tp1&>().~_Tp1())>::type
    );

    template <typename _Tp1>
    static __two __test (...);

    static const bool value = sizeof(__test<_Tp>(12)) == sizeof(char);
};

template <class _Tp, bool>
struct __destructible_imp;

template <class _Tp>
struct __destructible_imp<_Tp, false>
   : public std::__1::integral_constant<bool,
        __is_destructor_wellformed<typename std::__1::remove_all_extents<_Tp>::type>::value> {};

template <class _Tp>
struct __destructible_imp<_Tp, true>
    : public std::__1::true_type {};

template <class _Tp, bool>
struct __destructible_false;

template <class _Tp>
struct __destructible_false<_Tp, false> : public __destructible_imp<_Tp, std::__1::is_reference<_Tp>::value> {};

template <class _Tp>
struct __destructible_false<_Tp, true> : public std::__1::false_type {};

template <class _Tp>
struct is_destructible
    : public __destructible_false<_Tp, std::__1::is_function<_Tp>::value> {};

template <class _Tp>
struct is_destructible<_Tp[]>
    : public std::__1::false_type {};

template <>
struct is_destructible<void>
    : public std::__1::false_type {};


template <class _Tp>
inline constexpr bool is_destructible_v
    = is_destructible<_Tp>::value;






template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename remove_reference<_Tp>::type&&
move(_Tp&& __t) noexcept
{
    typedef typename remove_reference<_Tp>::type _Up;
    return static_cast<_Up&&>(__t);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp&&
forward(typename remove_reference<_Tp>::type& __t) noexcept
{
    return static_cast<_Tp&&>(__t);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp&&
forward(typename remove_reference<_Tp>::type&& __t) noexcept
{
    static_assert(!is_lvalue_reference<_Tp>::value,
                  "can not forward an rvalue as an lvalue");
    return static_cast<_Tp&&>(__t);
}
# 2377 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename decay<_Tp>::type
__decay_copy(_Tp&& __t)
{
    return std::__1::forward<_Tp>(__t);
}
# 2399 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...), true, false>
{
    typedef _Class _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...), true, false>
{
    typedef _Class _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) const, true, false>
{
    typedef _Class const _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) const, true, false>
{
    typedef _Class const _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) volatile, true, false>
{
    typedef _Class volatile _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) volatile, true, false>
{
    typedef _Class volatile _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) const volatile, true, false>
{
    typedef _Class const volatile _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) const volatile, true, false>
{
    typedef _Class const volatile _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};




template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) &, true, false>
{
    typedef _Class& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) &, true, false>
{
    typedef _Class& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) const&, true, false>
{
    typedef _Class const& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) const&, true, false>
{
    typedef _Class const& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) volatile&, true, false>
{
    typedef _Class volatile& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) volatile&, true, false>
{
    typedef _Class volatile& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) const volatile&, true, false>
{
    typedef _Class const volatile& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) const volatile&, true, false>
{
    typedef _Class const volatile& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) &&, true, false>
{
    typedef _Class&& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) &&, true, false>
{
    typedef _Class&& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) const&&, true, false>
{
    typedef _Class const&& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) const&&, true, false>
{
    typedef _Class const&& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) volatile&&, true, false>
{
    typedef _Class volatile&& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) volatile&&, true, false>
{
    typedef _Class volatile&& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param...) const volatile&&, true, false>
{
    typedef _Class const volatile&& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param...);
};

template <class _Rp, class _Class, class ..._Param>
struct __member_pointer_traits_imp<_Rp (_Class::*)(_Param..., ...) const volatile&&, true, false>
{
    typedef _Class const volatile&& _ClassType;
    typedef _Rp _ReturnType;
    typedef _Rp (_FnType) (_Param..., ...);
};
# 2856 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Rp, class _Class>
struct __member_pointer_traits_imp<_Rp _Class::*, false, true>
{
    typedef _Class _ClassType;
    typedef _Rp _ReturnType;
};

template <class _MP>
struct __member_pointer_traits
    : public __member_pointer_traits_imp<typename remove_cv<_MP>::type,
                    is_member_function_pointer<_MP>::value,
                    is_member_object_pointer<_MP>::value>
{



};


template <class _DecayedFp>
struct __member_pointer_class_type {};

template <class _Ret, class _ClassType>
struct __member_pointer_class_type<_Ret _ClassType::*> {
  typedef _ClassType type;
};



template <class _Callable> class result_of;
# 3037 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
namespace __is_construct
{
struct __nat {};
}
# 3159 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp, class ..._Args>
struct __attribute__ ((__type_visibility__("default"))) is_constructible
    : public integral_constant<bool, __is_constructible(_Tp, _Args...)>
    {};
# 3398 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp, class ..._Args>
inline constexpr bool is_constructible_v
    = is_constructible<_Tp, _Args...>::value;




template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_default_constructible
    : public is_constructible<_Tp>
    {};


template <class _Tp>
inline constexpr bool is_default_constructible_v
    = is_default_constructible<_Tp>::value;




template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_copy_constructible
    : public is_constructible<_Tp,
                  typename add_lvalue_reference<typename add_const<_Tp>::type>::type> {};


template <class _Tp>
inline constexpr bool is_copy_constructible_v
    = is_copy_constructible<_Tp>::value;




template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_move_constructible

    : public is_constructible<_Tp, typename add_rvalue_reference<_Tp>::type>



    {};


template <class _Tp>
inline constexpr bool is_move_constructible_v
    = is_move_constructible<_Tp>::value;
# 3452 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp, class... _Args>
struct __attribute__ ((__type_visibility__("default"))) is_trivially_constructible
    : integral_constant<bool, __is_trivially_constructible(_Tp, _Args...)>
{
};
# 3574 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp, class... _Args>
inline constexpr bool is_trivially_constructible_v
    = is_trivially_constructible<_Tp, _Args...>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_trivially_default_constructible
    : public is_trivially_constructible<_Tp>
    {};


template <class _Tp>
inline constexpr bool is_trivially_default_constructible_v
    = is_trivially_default_constructible<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_trivially_copy_constructible
    : public is_trivially_constructible<_Tp, typename add_lvalue_reference<const _Tp>::type>
    {};


template <class _Tp>
inline constexpr bool is_trivially_copy_constructible_v
    = is_trivially_copy_constructible<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_trivially_move_constructible

    : public is_trivially_constructible<_Tp, typename add_rvalue_reference<_Tp>::type>



    {};


template <class _Tp>
inline constexpr bool is_trivially_move_constructible_v
    = is_trivially_move_constructible<_Tp>::value;






template <class _Tp, class _Arg>
struct is_trivially_assignable
    : integral_constant<bool, __is_trivially_assignable(_Tp, _Arg)>
{
};
# 3658 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp, class _Arg>
inline constexpr bool is_trivially_assignable_v
    = is_trivially_assignable<_Tp, _Arg>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_trivially_copy_assignable
    : public is_trivially_assignable<typename add_lvalue_reference<_Tp>::type,
                  typename add_lvalue_reference<typename add_const<_Tp>::type>::type> {};


template <class _Tp>
inline constexpr bool is_trivially_copy_assignable_v
    = is_trivially_copy_assignable<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_trivially_move_assignable
    : public is_trivially_assignable<typename add_lvalue_reference<_Tp>::type,

                                     typename add_rvalue_reference<_Tp>::type>



    {};


template <class _Tp>
inline constexpr bool is_trivially_move_assignable_v
    = is_trivially_move_assignable<_Tp>::value;






template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_trivially_destructible
    : public integral_constant<bool, is_destructible<_Tp>::value && __has_trivial_destructor(_Tp)> {};
# 3714 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline constexpr bool is_trivially_destructible_v
    = is_trivially_destructible<_Tp>::value;
# 3734 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <bool, bool, class _Tp, class... _Args> struct __libcpp_is_nothrow_constructible;

template <class _Tp, class... _Args>
struct __libcpp_is_nothrow_constructible< true, false, _Tp, _Args...>
    : public integral_constant<bool, noexcept(_Tp(declval<_Args>()...))>
{
};

template <class _Tp>
void __implicit_conversion_to(_Tp) noexcept { }

template <class _Tp, class _Arg>
struct __libcpp_is_nothrow_constructible< true, true, _Tp, _Arg>
    : public integral_constant<bool, noexcept(__implicit_conversion_to<_Tp>(declval<_Arg>()))>
{
};

template <class _Tp, bool _IsReference, class... _Args>
struct __libcpp_is_nothrow_constructible< false, _IsReference, _Tp, _Args...>
    : public false_type
{
};

template <class _Tp, class... _Args>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_constructible
    : __libcpp_is_nothrow_constructible<is_constructible<_Tp, _Args...>::value, is_reference<_Tp>::value, _Tp, _Args...>
{
};

template <class _Tp, size_t _Ns>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_constructible<_Tp[_Ns]>
    : __libcpp_is_nothrow_constructible<is_constructible<_Tp>::value, is_reference<_Tp>::value, _Tp>
{
};
# 3880 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp, class ..._Args>
inline constexpr bool is_nothrow_constructible_v
    = is_nothrow_constructible<_Tp, _Args...>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_nothrow_default_constructible
    : public is_nothrow_constructible<_Tp>
    {};


template <class _Tp>
inline constexpr bool is_nothrow_default_constructible_v
    = is_nothrow_default_constructible<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_nothrow_copy_constructible
    : public is_nothrow_constructible<_Tp,
                  typename add_lvalue_reference<typename add_const<_Tp>::type>::type> {};


template <class _Tp>
inline constexpr bool is_nothrow_copy_constructible_v
    = is_nothrow_copy_constructible<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_nothrow_move_constructible

    : public is_nothrow_constructible<_Tp, typename add_rvalue_reference<_Tp>::type>



    {};


template <class _Tp>
inline constexpr bool is_nothrow_move_constructible_v
    = is_nothrow_move_constructible<_Tp>::value;






template <bool, class _Tp, class _Arg> struct __libcpp_is_nothrow_assignable;

template <class _Tp, class _Arg>
struct __libcpp_is_nothrow_assignable<false, _Tp, _Arg>
    : public false_type
{
};

template <class _Tp, class _Arg>
struct __libcpp_is_nothrow_assignable<true, _Tp, _Arg>
    : public integral_constant<bool, noexcept(std::__1::declval<_Tp>() = std::__1::declval<_Arg>()) >
{
};

template <class _Tp, class _Arg>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_assignable
    : public __libcpp_is_nothrow_assignable<is_assignable<_Tp, _Arg>::value, _Tp, _Arg>
{
};
# 3994 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp, class _Arg>
inline constexpr bool is_nothrow_assignable_v
    = is_nothrow_assignable<_Tp, _Arg>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_nothrow_copy_assignable
    : public is_nothrow_assignable<typename add_lvalue_reference<_Tp>::type,
                  typename add_lvalue_reference<typename add_const<_Tp>::type>::type> {};


template <class _Tp>
inline constexpr bool is_nothrow_copy_assignable_v
    = is_nothrow_copy_assignable<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_nothrow_move_assignable
    : public is_nothrow_assignable<typename add_lvalue_reference<_Tp>::type,

                                     typename add_rvalue_reference<_Tp>::type>



    {};


template <class _Tp>
inline constexpr bool is_nothrow_move_assignable_v
    = is_nothrow_move_assignable<_Tp>::value;






template <bool, class _Tp> struct __libcpp_is_nothrow_destructible;

template <class _Tp>
struct __libcpp_is_nothrow_destructible<false, _Tp>
    : public false_type
{
};

template <class _Tp>
struct __libcpp_is_nothrow_destructible<true, _Tp>
    : public integral_constant<bool, noexcept(std::__1::declval<_Tp>().~_Tp()) >
{
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_destructible
    : public __libcpp_is_nothrow_destructible<is_destructible<_Tp>::value, _Tp>
{
};

template <class _Tp, size_t _Ns>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_destructible<_Tp[_Ns]>
    : public is_nothrow_destructible<_Tp>
{
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_destructible<_Tp&>
    : public true_type
{
};



template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_destructible<_Tp&&>
    : public true_type
{
};
# 4090 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline constexpr bool is_nothrow_destructible_v
    = is_nothrow_destructible<_Tp>::value;






template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_pod
    : public integral_constant<bool, __is_pod(_Tp)> {};
# 4113 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp>
inline constexpr bool is_pod_v
    = is_pod<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_literal_type

    : public integral_constant<bool, __is_literal(_Tp)>




    {};


template <class _Tp>
inline constexpr bool is_literal_type_v
    = is_literal_type<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_standard_layout

    : public integral_constant<bool, __is_standard_layout(_Tp)>



    {};


template <class _Tp>
inline constexpr bool is_standard_layout_v
    = is_standard_layout<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_trivially_copyable

    : public integral_constant<bool, __is_trivially_copyable(_Tp)>





    {};


template <class _Tp>
inline constexpr bool is_trivially_copyable_v
    = is_trivially_copyable<_Tp>::value;




template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_trivial

    : public integral_constant<bool, __is_trivial(_Tp)>




    {};


template <class _Tp>
inline constexpr bool is_trivial_v
    = is_trivial<_Tp>::value;


template <class _Tp> struct __is_reference_wrapper_impl : public false_type {};
template <class _Tp> struct __is_reference_wrapper_impl<reference_wrapper<_Tp> > : public true_type {};
template <class _Tp> struct __is_reference_wrapper
    : public __is_reference_wrapper_impl<typename remove_cv<_Tp>::type> {};



template <class _Fp, class _A0,
         class _DecayFp = typename decay<_Fp>::type,
         class _DecayA0 = typename decay<_A0>::type,
         class _ClassT = typename __member_pointer_class_type<_DecayFp>::type>
using __enable_if_bullet1 = typename enable_if
    <
        is_member_function_pointer<_DecayFp>::value
        && is_base_of<_ClassT, _DecayA0>::value
    >::type;

template <class _Fp, class _A0,
         class _DecayFp = typename decay<_Fp>::type,
         class _DecayA0 = typename decay<_A0>::type>
using __enable_if_bullet2 = typename enable_if
    <
        is_member_function_pointer<_DecayFp>::value
        && __is_reference_wrapper<_DecayA0>::value
    >::type;

template <class _Fp, class _A0,
         class _DecayFp = typename decay<_Fp>::type,
         class _DecayA0 = typename decay<_A0>::type,
         class _ClassT = typename __member_pointer_class_type<_DecayFp>::type>
using __enable_if_bullet3 = typename enable_if
    <
        is_member_function_pointer<_DecayFp>::value
        && !is_base_of<_ClassT, _DecayA0>::value
        && !__is_reference_wrapper<_DecayA0>::value
    >::type;

template <class _Fp, class _A0,
         class _DecayFp = typename decay<_Fp>::type,
         class _DecayA0 = typename decay<_A0>::type,
         class _ClassT = typename __member_pointer_class_type<_DecayFp>::type>
using __enable_if_bullet4 = typename enable_if
    <
        is_member_object_pointer<_DecayFp>::value
        && is_base_of<_ClassT, _DecayA0>::value
    >::type;

template <class _Fp, class _A0,
         class _DecayFp = typename decay<_Fp>::type,
         class _DecayA0 = typename decay<_A0>::type>
using __enable_if_bullet5 = typename enable_if
    <
        is_member_object_pointer<_DecayFp>::value
        && __is_reference_wrapper<_DecayA0>::value
    >::type;

template <class _Fp, class _A0,
         class _DecayFp = typename decay<_Fp>::type,
         class _DecayA0 = typename decay<_A0>::type,
         class _ClassT = typename __member_pointer_class_type<_DecayFp>::type>
using __enable_if_bullet6 = typename enable_if
    <
        is_member_object_pointer<_DecayFp>::value
        && !is_base_of<_ClassT, _DecayA0>::value
        && !__is_reference_wrapper<_DecayA0>::value
    >::type;
# 4261 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class ..._Args>
auto __invoke(__any, _Args&& ...__args) -> __nat;

template <class ..._Args>
auto __invoke_constexpr(__any, _Args&& ...__args) -> __nat;



template <class _Fp, class _A0, class ..._Args,
          class = __enable_if_bullet1<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
auto
__invoke(_Fp&& __f, _A0&& __a0, _Args&& ...__args)
noexcept(noexcept((std::__1::forward<_A0>(__a0).*__f)(std::__1::forward<_Args>(__args)...))) -> decltype((std::__1::forward<_A0>(__a0).*__f)(std::__1::forward<_Args>(__args)...)) { return (std::__1::forward<_A0>(__a0).*__f)(std::__1::forward<_Args>(__args)...); }

template <class _Fp, class _A0, class ..._Args,
          class = __enable_if_bullet1<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr auto
__invoke_constexpr(_Fp&& __f, _A0&& __a0, _Args&& ...__args)
noexcept(noexcept((std::__1::forward<_A0>(__a0).*__f)(std::__1::forward<_Args>(__args)...))) -> decltype((std::__1::forward<_A0>(__a0).*__f)(std::__1::forward<_Args>(__args)...)) { return (std::__1::forward<_A0>(__a0).*__f)(std::__1::forward<_Args>(__args)...); }

template <class _Fp, class _A0, class ..._Args,
          class = __enable_if_bullet2<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
auto
__invoke(_Fp&& __f, _A0&& __a0, _Args&& ...__args)
noexcept(noexcept((__a0.get().*__f)(std::__1::forward<_Args>(__args)...))) -> decltype((__a0.get().*__f)(std::__1::forward<_Args>(__args)...)) { return (__a0.get().*__f)(std::__1::forward<_Args>(__args)...); }

template <class _Fp, class _A0, class ..._Args,
          class = __enable_if_bullet2<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr auto
__invoke_constexpr(_Fp&& __f, _A0&& __a0, _Args&& ...__args)
noexcept(noexcept((__a0.get().*__f)(std::__1::forward<_Args>(__args)...))) -> decltype((__a0.get().*__f)(std::__1::forward<_Args>(__args)...)) { return (__a0.get().*__f)(std::__1::forward<_Args>(__args)...); }

template <class _Fp, class _A0, class ..._Args,
          class = __enable_if_bullet3<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
auto
__invoke(_Fp&& __f, _A0&& __a0, _Args&& ...__args)
noexcept(noexcept(((*std::__1::forward<_A0>(__a0)).*__f)(std::__1::forward<_Args>(__args)...))) -> decltype(((*std::__1::forward<_A0>(__a0)).*__f)(std::__1::forward<_Args>(__args)...)) { return ((*std::__1::forward<_A0>(__a0)).*__f)(std::__1::forward<_Args>(__args)...); }

template <class _Fp, class _A0, class ..._Args,
          class = __enable_if_bullet3<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr auto
__invoke_constexpr(_Fp&& __f, _A0&& __a0, _Args&& ...__args)
noexcept(noexcept(((*std::__1::forward<_A0>(__a0)).*__f)(std::__1::forward<_Args>(__args)...))) -> decltype(((*std::__1::forward<_A0>(__a0)).*__f)(std::__1::forward<_Args>(__args)...)) { return ((*std::__1::forward<_A0>(__a0)).*__f)(std::__1::forward<_Args>(__args)...); }



template <class _Fp, class _A0,
          class = __enable_if_bullet4<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
auto
__invoke(_Fp&& __f, _A0&& __a0)
noexcept(noexcept(std::__1::forward<_A0>(__a0).*__f)) -> decltype(std::__1::forward<_A0>(__a0).*__f) { return std::__1::forward<_A0>(__a0).*__f; }

template <class _Fp, class _A0,
          class = __enable_if_bullet4<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr auto
__invoke_constexpr(_Fp&& __f, _A0&& __a0)
noexcept(noexcept(std::__1::forward<_A0>(__a0).*__f)) -> decltype(std::__1::forward<_A0>(__a0).*__f) { return std::__1::forward<_A0>(__a0).*__f; }

template <class _Fp, class _A0,
          class = __enable_if_bullet5<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
auto
__invoke(_Fp&& __f, _A0&& __a0)
noexcept(noexcept(__a0.get().*__f)) -> decltype(__a0.get().*__f) { return __a0.get().*__f; }

template <class _Fp, class _A0,
          class = __enable_if_bullet5<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr auto
__invoke_constexpr(_Fp&& __f, _A0&& __a0)
noexcept(noexcept(__a0.get().*__f)) -> decltype(__a0.get().*__f) { return __a0.get().*__f; }

template <class _Fp, class _A0,
          class = __enable_if_bullet6<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
auto
__invoke(_Fp&& __f, _A0&& __a0)
noexcept(noexcept((*std::__1::forward<_A0>(__a0)).*__f)) -> decltype((*std::__1::forward<_A0>(__a0)).*__f) { return (*std::__1::forward<_A0>(__a0)).*__f; }

template <class _Fp, class _A0,
          class = __enable_if_bullet6<_Fp, _A0>>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr auto
__invoke_constexpr(_Fp&& __f, _A0&& __a0)
noexcept(noexcept((*std::__1::forward<_A0>(__a0)).*__f)) -> decltype((*std::__1::forward<_A0>(__a0)).*__f) { return (*std::__1::forward<_A0>(__a0)).*__f; }



template <class _Fp, class ..._Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
auto
__invoke(_Fp&& __f, _Args&& ...__args)
noexcept(noexcept(std::__1::forward<_Fp>(__f)(std::__1::forward<_Args>(__args)...))) -> decltype(std::__1::forward<_Fp>(__f)(std::__1::forward<_Args>(__args)...)) { return std::__1::forward<_Fp>(__f)(std::__1::forward<_Args>(__args)...); }

template <class _Fp, class ..._Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr auto
__invoke_constexpr(_Fp&& __f, _Args&& ...__args)
noexcept(noexcept(std::__1::forward<_Fp>(__f)(std::__1::forward<_Args>(__args)...))) -> decltype(std::__1::forward<_Fp>(__f)(std::__1::forward<_Args>(__args)...)) { return std::__1::forward<_Fp>(__f)(std::__1::forward<_Args>(__args)...); }





template <class _Ret, class _Fp, class ..._Args>
struct __invokable_r
{


    using _Result = decltype(
        std::__1::__invoke(std::__1::declval<_Fp>(), std::__1::declval<_Args>()...));

    using type =
        typename conditional<
            !is_same<_Result, __nat>::value,
            typename conditional<
                is_void<_Ret>::value,
                true_type,
                is_convertible<_Result, _Ret>
            >::type,
            false_type
        >::type;
    static const bool value = type::value;
};

template <class _Fp, class ..._Args>
using __invokable = __invokable_r<void, _Fp, _Args...>;

template <bool _IsInvokable, bool _IsCVVoid, class _Ret, class _Fp, class ..._Args>
struct __nothrow_invokable_r_imp {
  static const bool value = false;
};

template <class _Ret, class _Fp, class ..._Args>
struct __nothrow_invokable_r_imp<true, false, _Ret, _Fp, _Args...>
{
    typedef __nothrow_invokable_r_imp _ThisT;

    template <class _Tp>
    static void __test_noexcept(_Tp) noexcept;

    static const bool value = noexcept(_ThisT::__test_noexcept<_Ret>(
        std::__1::__invoke(std::__1::declval<_Fp>(), std::__1::declval<_Args>()...)));
};

template <class _Ret, class _Fp, class ..._Args>
struct __nothrow_invokable_r_imp<true, true, _Ret, _Fp, _Args...>
{
    static const bool value = noexcept(
        std::__1::__invoke(std::__1::declval<_Fp>(), std::__1::declval<_Args>()...));
};

template <class _Ret, class _Fp, class ..._Args>
using __nothrow_invokable_r =
    __nothrow_invokable_r_imp<
            __invokable_r<_Ret, _Fp, _Args...>::value,
            is_void<_Ret>::value,
            _Ret, _Fp, _Args...
    >;

template <class _Fp, class ..._Args>
using __nothrow_invokable =
    __nothrow_invokable_r_imp<
            __invokable<_Fp, _Args...>::value,
            true, void, _Fp, _Args...
    >;

template <class _Fp, class ..._Args>
struct __invoke_of
    : public enable_if<
        __invokable<_Fp, _Args...>::value,
        typename __invokable_r<void, _Fp, _Args...>::_Result>
{
};



template <class _Fp, class ..._Args>
class __attribute__ ((__type_visibility__("default"))) result_of<_Fp(_Args...)>
    : public __invoke_of<_Fp, _Args...>
{
};


template <class _Tp> using result_of_t = typename result_of<_Tp>::type;






template <class _Fn, class... _Args>
struct __attribute__ ((__type_visibility__("default"))) invoke_result
    : __invoke_of<_Fn, _Args...>
{
};

template <class _Fn, class... _Args>
using invoke_result_t = typename invoke_result<_Fn, _Args...>::type;



template <class _Fn, class ..._Args>
struct __attribute__ ((__type_visibility__("default"))) is_invocable
    : integral_constant<bool, __invokable<_Fn, _Args...>::value> {};

template <class _Ret, class _Fn, class ..._Args>
struct __attribute__ ((__type_visibility__("default"))) is_invocable_r
    : integral_constant<bool, __invokable_r<_Ret, _Fn, _Args...>::value> {};

template <class _Fn, class ..._Args>
inline constexpr bool is_invocable_v
    = is_invocable<_Fn, _Args...>::value;

template <class _Ret, class _Fn, class ..._Args>
inline constexpr bool is_invocable_r_v
    = is_invocable_r<_Ret, _Fn, _Args...>::value;



template <class _Fn, class ..._Args>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_invocable
    : integral_constant<bool, __nothrow_invokable<_Fn, _Args...>::value> {};

template <class _Ret, class _Fn, class ..._Args>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_invocable_r
    : integral_constant<bool, __nothrow_invokable_r<_Ret, _Fn, _Args...>::value> {};

template <class _Fn, class ..._Args>
inline constexpr bool is_nothrow_invocable_v
    = is_nothrow_invocable<_Fn, _Args...>::value;

template <class _Ret, class _Fn, class ..._Args>
inline constexpr bool is_nothrow_invocable_r_v
    = is_nothrow_invocable_r<_Ret, _Fn, _Args...>::value;





template <class _Tp> struct __is_swappable;
template <class _Tp> struct __is_nothrow_swappable;

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))

typename enable_if
<
    is_move_constructible<_Tp>::value &&
    is_move_assignable<_Tp>::value
>::type



swap(_Tp& __x, _Tp& __y) noexcept(is_nothrow_move_constructible<_Tp>::value && is_nothrow_move_assignable<_Tp>::value)

{
    _Tp __t(std::__1::move(__x));
    __x = std::__1::move(__y);
    __y = std::__1::move(__t);
}

template<class _Tp, size_t _Np>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if<
    __is_swappable<_Tp>::value
>::type
swap(_Tp (&__a)[_Np], _Tp (&__b)[_Np]) noexcept(__is_nothrow_swappable<_Tp>::value);

template <class _ForwardIterator1, class _ForwardIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)

               noexcept(noexcept(swap(*std::__1::declval<_ForwardIterator1>(), *std::__1::declval<_ForwardIterator2>())))

{
    swap(*__a, *__b);
}



namespace __detail
{


template <class _Tp, class _Up = _Tp,
          bool _NotVoid = !is_void<_Tp>::value && !is_void<_Up>::value>
struct __swappable_with
{
    template <class _LHS, class _RHS>
    static decltype(swap(std::__1::declval<_LHS>(), std::__1::declval<_RHS>()))
    __test_swap(int);
    template <class, class>
    static __nat __test_swap(long);


    typedef decltype((__test_swap<_Tp, _Up>(0))) __swap1;
    typedef decltype((__test_swap<_Up, _Tp>(0))) __swap2;

    static const bool value = !is_same<__swap1, __nat>::value
                           && !is_same<__swap2, __nat>::value;
};

template <class _Tp, class _Up>
struct __swappable_with<_Tp, _Up, false> : false_type {};

template <class _Tp, class _Up = _Tp, bool _Swappable = __swappable_with<_Tp, _Up>::value>
struct __nothrow_swappable_with {
  static const bool value =

      noexcept(swap(std::__1::declval<_Tp>(), std::__1::declval<_Up>()))
  && noexcept(swap(std::__1::declval<_Up>(), std::__1::declval<_Tp>()));



};

template <class _Tp, class _Up>
struct __nothrow_swappable_with<_Tp, _Up, false> : false_type {};

}

template <class _Tp>
struct __is_swappable
    : public integral_constant<bool, __detail::__swappable_with<_Tp&>::value>
{
};

template <class _Tp>
struct __is_nothrow_swappable
    : public integral_constant<bool, __detail::__nothrow_swappable_with<_Tp&>::value>
{
};



template <class _Tp, class _Up>
struct __attribute__ ((__type_visibility__("default"))) is_swappable_with
    : public integral_constant<bool, __detail::__swappable_with<_Tp, _Up>::value>
{
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_swappable
    : public conditional<
        __is_referenceable<_Tp>::value,
        is_swappable_with<
            typename add_lvalue_reference<_Tp>::type,
            typename add_lvalue_reference<_Tp>::type>,
        false_type
    >::type
{
};

template <class _Tp, class _Up>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_swappable_with
    : public integral_constant<bool, __detail::__nothrow_swappable_with<_Tp, _Up>::value>
{
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) is_nothrow_swappable
    : public conditional<
        __is_referenceable<_Tp>::value,
        is_nothrow_swappable_with<
            typename add_lvalue_reference<_Tp>::type,
            typename add_lvalue_reference<_Tp>::type>,
        false_type
    >::type
{
};

template <class _Tp, class _Up>
inline constexpr bool is_swappable_with_v
    = is_swappable_with<_Tp, _Up>::value;

template <class _Tp>
inline constexpr bool is_swappable_v
    = is_swappable<_Tp>::value;

template <class _Tp, class _Up>
inline constexpr bool is_nothrow_swappable_with_v
    = is_nothrow_swappable_with<_Tp, _Up>::value;

template <class _Tp>
inline constexpr bool is_nothrow_swappable_v
    = is_nothrow_swappable<_Tp>::value;





template <class _Tp>
struct underlying_type
{
    typedef __underlying_type(_Tp) type;
};


template <class _Tp> using underlying_type_t = typename underlying_type<_Tp>::type;
# 4685 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
template <class _Tp, bool = is_enum<_Tp>::value>
struct __sfinae_underlying_type
{
    typedef typename underlying_type<_Tp>::type type;
    typedef decltype(((type)1) + 0) __promoted_type;
};

template <class _Tp>
struct __sfinae_underlying_type<_Tp, false> {};

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
int __convert_to_integral(int __val) { return __val; }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
unsigned __convert_to_integral(unsigned __val) { return __val; }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
long __convert_to_integral(long __val) { return __val; }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
unsigned long __convert_to_integral(unsigned long __val) { return __val; }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
long long __convert_to_integral(long long __val) { return __val; }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
unsigned long long __convert_to_integral(unsigned long long __val) {return __val; }

template<typename _Fp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if<is_floating_point<_Fp>::value, long long>::type
 __convert_to_integral(_Fp __val) { return __val; }


inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
__int128_t __convert_to_integral(__int128_t __val) { return __val; }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
__uint128_t __convert_to_integral(__uint128_t __val) { return __val; }


template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename __sfinae_underlying_type<_Tp>::__promoted_type
__convert_to_integral(_Tp __val) { return __val; }



template <class _Tp>
struct __has_operator_addressof_member_imp
{
    template <class _Up>
        static auto __test(int)
            -> typename __select_2nd<decltype(std::__1::declval<_Up>().operator&()), true_type>::type;
    template <class>
        static auto __test(long) -> false_type;

    static const bool value = decltype(__test<_Tp>(0))::value;
};

template <class _Tp>
struct __has_operator_addressof_free_imp
{
    template <class _Up>
        static auto __test(int)
            -> typename __select_2nd<decltype(operator&(std::__1::declval<_Up>())), true_type>::type;
    template <class>
        static auto __test(long) -> false_type;

    static const bool value = decltype(__test<_Tp>(0))::value;
};

template <class _Tp>
struct __has_operator_addressof
    : public integral_constant<bool, __has_operator_addressof_member_imp<_Tp>::value
                                  || __has_operator_addressof_free_imp<_Tp>::value>
{};





template <class...> using void_t = void;


template <class... _Args>
struct conjunction : __and_<_Args...> {};
template<class... _Args>
inline constexpr bool conjunction_v
    = conjunction<_Args...>::value;

template <class... _Args>
struct disjunction : __or_<_Args...> {};
template<class... _Args>
inline constexpr bool disjunction_v
    = disjunction<_Args...>::value;

template <class _Tp>
struct negation : __not_<_Tp> {};
template<class _Tp>
inline constexpr bool negation_v
    = negation<_Tp>::value;





struct __extract_key_fail_tag {};
struct __extract_key_self_tag {};
struct __extract_key_first_tag {};

template <class _ValTy, class _Key,
          class _RawValTy = typename __unconstref<_ValTy>::type>
struct __can_extract_key
    : conditional<is_same<_RawValTy, _Key>::value, __extract_key_self_tag,
                  __extract_key_fail_tag>::type {};

template <class _Pair, class _Key, class _First, class _Second>
struct __can_extract_key<_Pair, _Key, pair<_First, _Second>>
    : conditional<is_same<typename remove_const<_First>::type, _Key>::value,
                  __extract_key_first_tag, __extract_key_fail_tag>::type {};




template <class _ValTy, class _Key, class _ContainerValueTy,
          class _RawValTy = typename __unconstref<_ValTy>::type>
struct __can_extract_map_key
    : integral_constant<bool, is_same<_RawValTy, _Key>::value> {};



template <class _ValTy, class _Key, class _RawValTy>
struct __can_extract_map_key<_ValTy, _Key, _Key, _RawValTy>
    : false_type {};
# 4838 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/type_traits" 3
} }



namespace std
{
template <class _Integer>
  constexpr typename enable_if<is_integral_v<_Integer>, byte>::type &
  operator<<=(byte& __lhs, _Integer __shift) noexcept
  { return __lhs = __lhs << __shift; }

template <class _Integer>
  constexpr typename enable_if<is_integral_v<_Integer>, byte>::type
  operator<< (byte __lhs, _Integer __shift) noexcept
  { return static_cast<byte>(static_cast<unsigned char>(static_cast<unsigned int>(__lhs) << __shift)); }

template <class _Integer>
  constexpr typename enable_if<is_integral_v<_Integer>, byte>::type &
  operator>>=(byte& __lhs, _Integer __shift) noexcept
  { return __lhs = __lhs >> __shift; }

template <class _Integer>
  constexpr typename enable_if<is_integral_v<_Integer>, byte>::type
  operator>> (byte __lhs, _Integer __shift) noexcept
  { return static_cast<byte>(static_cast<unsigned char>(static_cast<unsigned int>(__lhs) >> __shift)); }

template <class _Integer>
  constexpr typename enable_if<is_integral_v<_Integer>, _Integer>::type
  to_integer(byte __b) noexcept { return static_cast<_Integer>(__b); }

}
# 112 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstddef" 2 3
# 48 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/initializer_list" 2 3
# 51 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/initializer_list" 3


namespace std
{



template<class _Ep>
class __attribute__ ((__type_visibility__("default"))) initializer_list
{
    const _Ep* __begin_;
    size_t __size_;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr
    initializer_list(const _Ep* __b, size_t __s) noexcept
        : __begin_(__b),
          __size_(__s)
        {}
public:
    typedef _Ep value_type;
    typedef const _Ep& reference;
    typedef const _Ep& const_reference;
    typedef size_t size_type;

    typedef const _Ep* iterator;
    typedef const _Ep* const_iterator;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr
    initializer_list() noexcept : __begin_(nullptr), __size_(0) {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr
    size_t size() const noexcept {return __size_;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr
    const _Ep* begin() const noexcept {return __begin_;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr
    const _Ep* end() const noexcept {return __begin_ + __size_;}
};

template<class _Ep>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr
const _Ep*
begin(initializer_list<_Ep> __il) noexcept
{
    return __il.begin();
}

template<class _Ep>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr
const _Ep*
end(initializer_list<_Ep> __il) noexcept
{
    return __il.end();
}



}
# 641 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 2 3

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstring" 1 3
# 60 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstring" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 61 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstring" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/string.h" 1 3
# 55 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/string.h" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 56 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/string.h" 2 3
# 59 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/string.h" 3


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 1 3 4
# 61 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types.h" 1 3 4
# 27 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/cdefs.h" 1 3 4
# 630 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/cdefs.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_symbol_aliasing.h" 1 3 4
# 631 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/cdefs.h" 2 3 4
# 696 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/cdefs.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_posix_availability.h" 1 3 4
# 697 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/cdefs.h" 2 3 4
# 33 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/_types.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/_types.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/_types.h" 1 3 4
# 37 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/_types.h" 3 4
typedef signed char __int8_t;



typedef unsigned char __uint8_t;
typedef short __int16_t;
typedef unsigned short __uint16_t;
typedef int __int32_t;
typedef unsigned int __uint32_t;
typedef long long __int64_t;
typedef unsigned long long __uint64_t;

typedef long __darwin_intptr_t;
typedef unsigned int __darwin_natural_t;
# 70 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/_types.h" 3 4
typedef int __darwin_ct_rune_t;





typedef union {
 char __mbstate8[128];
 long long _mbstateL;
} __mbstate_t;

typedef __mbstate_t __darwin_mbstate_t;


typedef long int __darwin_ptrdiff_t;







typedef long unsigned int __darwin_size_t;





typedef __builtin_va_list __darwin_va_list;





typedef int __darwin_wchar_t;




typedef __darwin_wchar_t __darwin_rune_t;


typedef int __darwin_wint_t;




typedef unsigned long __darwin_clock_t;
typedef __uint32_t __darwin_socklen_t;
typedef long __darwin_ssize_t;
typedef long __darwin_time_t;
# 33 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/_types.h" 2 3 4
# 34 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types.h" 2 3 4
# 55 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types.h" 3 4
typedef __int64_t __darwin_blkcnt_t;
typedef __int32_t __darwin_blksize_t;
typedef __int32_t __darwin_dev_t;
typedef unsigned int __darwin_fsblkcnt_t;
typedef unsigned int __darwin_fsfilcnt_t;
typedef __uint32_t __darwin_gid_t;
typedef __uint32_t __darwin_id_t;
typedef __uint64_t __darwin_ino64_t;

typedef __darwin_ino64_t __darwin_ino_t;



typedef __darwin_natural_t __darwin_mach_port_name_t;
typedef __darwin_mach_port_name_t __darwin_mach_port_t;
typedef __uint16_t __darwin_mode_t;
typedef __int64_t __darwin_off_t;
typedef __int32_t __darwin_pid_t;
typedef __uint32_t __darwin_sigset_t;
typedef __int32_t __darwin_suseconds_t;
typedef __uint32_t __darwin_uid_t;
typedef __uint32_t __darwin_useconds_t;
typedef unsigned char __darwin_uuid_t[16];
typedef char __darwin_uuid_string_t[37];


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_pthread/_pthread_types.h" 1 3 4
# 57 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_pthread/_pthread_types.h" 3 4
struct __darwin_pthread_handler_rec {
 void (*__routine)(void *);
 void *__arg;
 struct __darwin_pthread_handler_rec *__next;
};

struct _opaque_pthread_attr_t {
 long __sig;
 char __opaque[56];
};

struct _opaque_pthread_cond_t {
 long __sig;
 char __opaque[40];
};

struct _opaque_pthread_condattr_t {
 long __sig;
 char __opaque[8];
};

struct _opaque_pthread_mutex_t {
 long __sig;
 char __opaque[56];
};

struct _opaque_pthread_mutexattr_t {
 long __sig;
 char __opaque[8];
};

struct _opaque_pthread_once_t {
 long __sig;
 char __opaque[8];
};

struct _opaque_pthread_rwlock_t {
 long __sig;
 char __opaque[192];
};

struct _opaque_pthread_rwlockattr_t {
 long __sig;
 char __opaque[16];
};

struct _opaque_pthread_t {
 long __sig;
 struct __darwin_pthread_handler_rec *__cleanup_stack;
 char __opaque[8176];
};

typedef struct _opaque_pthread_attr_t __darwin_pthread_attr_t;
typedef struct _opaque_pthread_cond_t __darwin_pthread_cond_t;
typedef struct _opaque_pthread_condattr_t __darwin_pthread_condattr_t;
typedef unsigned long __darwin_pthread_key_t;
typedef struct _opaque_pthread_mutex_t __darwin_pthread_mutex_t;
typedef struct _opaque_pthread_mutexattr_t __darwin_pthread_mutexattr_t;
typedef struct _opaque_pthread_once_t __darwin_pthread_once_t;
typedef struct _opaque_pthread_rwlock_t __darwin_pthread_rwlock_t;
typedef struct _opaque_pthread_rwlockattr_t __darwin_pthread_rwlockattr_t;
typedef struct _opaque_pthread_t *__darwin_pthread_t;
# 81 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types.h" 2 3 4
# 28 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types.h" 2 3 4
# 40 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types.h" 3 4
typedef int __darwin_nl_item;
typedef int __darwin_wctrans_t;

typedef __uint32_t __darwin_wctype_t;
# 62 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 2 3 4

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/Availability.h" 1 3 4
# 246 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/Availability.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/AvailabilityInternal.h" 1 3 4
# 247 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/Availability.h" 2 3 4
# 64 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 65 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_null.h" 1 3 4
# 66 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 2 3 4



extern "C" {
void *memchr(const void *__s, int __c, size_t __n);
int memcmp(const void *__s1, const void *__s2, size_t __n);
void *memcpy(void *__dst, const void *__src, size_t __n);
void *memmove(void *__dst, const void *__src, size_t __len);
void *memset(void *__b, int __c, size_t __len);
char *strcat(char *__s1, const char *__s2);
char *strchr(const char *__s, int __c);
int strcmp(const char *__s1, const char *__s2);
int strcoll(const char *__s1, const char *__s2);
char *strcpy(char *__dst, const char *__src);
size_t strcspn(const char *__s, const char *__charset);
char *strerror(int __errnum) __asm("_" "strerror" );
size_t strlen(const char *__s);
char *strncat(char *__s1, const char *__s2, size_t __n);
int strncmp(const char *__s1, const char *__s2, size_t __n);
char *strncpy(char *__dst, const char *__src, size_t __n);
char *strpbrk(const char *__s, const char *__charset);
char *strrchr(const char *__s, int __c);
size_t strspn(const char *__s, const char *__charset);
char *strstr(const char *__big, const char *__little);
char *strtok(char *__str, const char *__sep);
size_t strxfrm(char *__s1, const char *__s2, size_t __n);
}
# 103 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 3 4
extern "C" {
char *strtok_r(char *__str, const char *__sep, char **__lasts);
}
# 115 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 3 4
extern "C" {
int strerror_r(int __errnum, char *__strerrbuf, size_t __buflen);
char *strdup(const char *__s1);
void *memccpy(void *__dst, const void *__src, int __c, size_t __n);
}
# 129 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 3 4
extern "C" {
char *stpcpy(char *__dst, const char *__src);
char *stpncpy(char *__dst, const char *__src, size_t __n) __attribute__((availability(macosx,introduced=10.7)));
char *strndup(const char *__s1, size_t __n) __attribute__((availability(macosx,introduced=10.7)));
size_t strnlen(const char *__s1, size_t __n) __attribute__((availability(macosx,introduced=10.7)));
char *strsignal(int __sig);
}
# 152 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_ssize_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_ssize_t.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/types.h" 1 3 4
# 35 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/types.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 1 3 4
# 76 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_int8_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_int8_t.h" 3 4
typedef signed char int8_t;
# 77 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_int16_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_int16_t.h" 3 4
typedef short int16_t;
# 78 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_int32_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_int32_t.h" 3 4
typedef int int32_t;
# 79 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_int64_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_int64_t.h" 3 4
typedef long long int64_t;
# 80 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_u_int8_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_u_int8_t.h" 3 4
typedef unsigned char u_int8_t;
# 82 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_u_int16_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_u_int16_t.h" 3 4
typedef unsigned short u_int16_t;
# 83 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_u_int32_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_u_int32_t.h" 3 4
typedef unsigned int u_int32_t;
# 84 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_u_int64_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_u_int64_t.h" 3 4
typedef unsigned long long u_int64_t;
# 85 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4


typedef int64_t register_t;





# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_intptr_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_intptr_t.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/types.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_intptr_t.h" 2 3 4

typedef __darwin_intptr_t intptr_t;
# 93 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_uintptr_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_uintptr_t.h" 3 4
typedef unsigned long uintptr_t;
# 94 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/types.h" 2 3 4



typedef u_int64_t user_addr_t;
typedef u_int64_t user_size_t;
typedef int64_t user_ssize_t;
typedef int64_t user_long_t;
typedef u_int64_t user_ulong_t;
typedef int64_t user_time_t;
typedef int64_t user_off_t;







typedef u_int64_t syscall_arg_t;
# 36 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/types.h" 2 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_ssize_t.h" 2 3 4
typedef __darwin_ssize_t ssize_t;
# 153 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 2 3 4

extern "C" {
void *memmem(const void *__big, size_t __big_len, const void *__little, size_t __little_len) __attribute__((availability(macosx,introduced=10.7)));
void memset_pattern4(void *__b, const void *__pattern4, size_t __len) __attribute__((availability(macosx,introduced=10.5)));
void memset_pattern8(void *__b, const void *__pattern8, size_t __len) __attribute__((availability(macosx,introduced=10.5)));
void memset_pattern16(void *__b, const void *__pattern16, size_t __len) __attribute__((availability(macosx,introduced=10.5)));

char *strcasestr(const char *__big, const char *__little);
char *strnstr(const char *__big, const char *__little, size_t __len);
size_t strlcat(char *__dst, const char *__source, size_t __size);
size_t strlcpy(char *__dst, const char *__source, size_t __size);
void strmode(int __mode, char *__bp);
char *strsep(char **__stringp, const char *__delim);


void swab(const void * , void * , ssize_t);

__attribute__((availability(macosx,introduced=10.12.1))) __attribute__((availability(ios,introduced=10.1)))
__attribute__((availability(tvos,introduced=10.0.1))) __attribute__((availability(watchos,introduced=3.1)))
int timingsafe_bcmp(const void *__b1, const void *__b2, size_t __len);
}







# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/strings.h" 1 3 4
# 65 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/strings.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 66 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/strings.h" 2 3 4

extern "C" {


int bcmp(const void *, const void *, size_t) ;
void bcopy(const void *, void *, size_t) ;
void bzero(void *, size_t) ;
char *index(const char *, int) ;
char *rindex(const char *, int) ;


int ffs(int);
int strcasecmp(const char *, const char *);
int strncasecmp(const char *, const char *, size_t);
}



extern "C" {
int ffsl(long) __attribute__((availability(macosx,introduced=10.5)));
int ffsll(long long) __attribute__((availability(macosx,introduced=10.9)));
int fls(int) __attribute__((availability(macosx,introduced=10.5)));
int flsl(long) __attribute__((availability(macosx,introduced=10.5)));
int flsll(long long) __attribute__((availability(macosx,introduced=10.9)));
}


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/string.h" 1 3 4
# 93 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/strings.h" 2 3 4
# 181 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/string.h" 2 3 4
# 62 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/string.h" 2 3
# 72 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/string.h" 3
extern "C++" {
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
char* __libcpp_strchr(const char* __s, int __c) {return (char*)strchr(__s, __c);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const char* strchr(const char* __s, int __c) {return __libcpp_strchr(__s, __c);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      char* strchr( char* __s, int __c) {return __libcpp_strchr(__s, __c);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
char* __libcpp_strpbrk(const char* __s1, const char* __s2) {return (char*)strpbrk(__s1, __s2);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const char* strpbrk(const char* __s1, const char* __s2) {return __libcpp_strpbrk(__s1, __s2);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      char* strpbrk( char* __s1, const char* __s2) {return __libcpp_strpbrk(__s1, __s2);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
char* __libcpp_strrchr(const char* __s, int __c) {return (char*)strrchr(__s, __c);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const char* strrchr(const char* __s, int __c) {return __libcpp_strrchr(__s, __c);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      char* strrchr( char* __s, int __c) {return __libcpp_strrchr(__s, __c);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void* __libcpp_memchr(const void* __s, int __c, size_t __n) {return (void*)memchr(__s, __c, __n);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const void* memchr(const void* __s, int __c, size_t __n) {return __libcpp_memchr(__s, __c, __n);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      void* memchr( void* __s, int __c, size_t __n) {return __libcpp_memchr(__s, __c, __n);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
char* __libcpp_strstr(const char* __s1, const char* __s2) {return (char*)strstr(__s1, __s2);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const char* strstr(const char* __s1, const char* __s2) {return __libcpp_strstr(__s1, __s2);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      char* strstr( char* __s1, const char* __s2) {return __libcpp_strstr(__s1, __s2);}
}
# 62 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstring" 2 3
# 65 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstring" 3


namespace std { inline namespace __1 {

using ::size_t;
using ::memcpy;
using ::memmove;
using ::strcpy;
using ::strncpy;
using ::strcat;
using ::strncat;
using ::memcmp;
using ::strcmp;
using ::strncmp;
using ::strcoll;
using ::strxfrm;
using ::memchr;
using ::strchr;
using ::strcspn;
using ::strpbrk;
using ::strrchr;
using ::strspn;
using ::strstr;

using ::strtok;

using ::memset;
using ::strerror;
using ::strlen;

} }
# 643 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 1 3
# 199 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 200 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__tuple" 1 3
# 14 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__tuple" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 15 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__tuple" 2 3
# 20 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__tuple" 3



namespace std { inline namespace __1 {

template <class _Tp> struct __attribute__ ((__type_visibility__("default"))) tuple_size;


template <class _Tp, class...>
using __enable_if_tuple_size_imp = _Tp;

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) tuple_size<__enable_if_tuple_size_imp<
    const _Tp,
    typename enable_if<!is_volatile<_Tp>::value>::type,
    integral_constant<size_t, sizeof(tuple_size<_Tp>)>>>
    : public integral_constant<size_t, tuple_size<_Tp>::value> {};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) tuple_size<__enable_if_tuple_size_imp<
    volatile _Tp,
    typename enable_if<!is_const<_Tp>::value>::type,
    integral_constant<size_t, sizeof(tuple_size<_Tp>)>>>
    : public integral_constant<size_t, tuple_size<_Tp>::value> {};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) tuple_size<__enable_if_tuple_size_imp<
    const volatile _Tp,
    integral_constant<size_t, sizeof(tuple_size<_Tp>)>>>
    : public integral_constant<size_t, tuple_size<_Tp>::value> {};







template <size_t _Ip, class _Tp> class __attribute__ ((__type_visibility__("default"))) tuple_element;

template <size_t _Ip, class _Tp>
class __attribute__ ((__type_visibility__("default"))) tuple_element<_Ip, const _Tp>
{
public:
    typedef typename add_const<typename tuple_element<_Ip, _Tp>::type>::type type;
};

template <size_t _Ip, class _Tp>
class __attribute__ ((__type_visibility__("default"))) tuple_element<_Ip, volatile _Tp>
{
public:
    typedef typename add_volatile<typename tuple_element<_Ip, _Tp>::type>::type type;
};

template <size_t _Ip, class _Tp>
class __attribute__ ((__type_visibility__("default"))) tuple_element<_Ip, const volatile _Tp>
{
public:
    typedef typename add_cv<typename tuple_element<_Ip, _Tp>::type>::type type;
};

template <class _Tp> struct __tuple_like : false_type {};

template <class _Tp> struct __tuple_like<const _Tp> : public __tuple_like<_Tp> {};
template <class _Tp> struct __tuple_like<volatile _Tp> : public __tuple_like<_Tp> {};
template <class _Tp> struct __tuple_like<const volatile _Tp> : public __tuple_like<_Tp> {};





template <size_t...> struct __tuple_indices {};

template <class _IdxType, _IdxType... _Values>
struct __integer_sequence {
  template <template <class _OIdxType, _OIdxType...> class _ToIndexSeq, class _ToIndexType>
  using __convert = _ToIndexSeq<_ToIndexType, _Values...>;

  template <size_t _Sp>
  using __to_tuple_indices = __tuple_indices<(_Values + _Sp)...>;
};
# 144 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__tuple" 3
template <size_t _Ep, size_t _Sp>
using __make_indices_imp =
    typename __make_integer_seq<__integer_sequence, size_t, _Ep - _Sp>::template
    __to_tuple_indices<_Sp>;







template <size_t _Ep, size_t _Sp = 0>
struct __make_tuple_indices
{
    static_assert(_Sp <= _Ep, "__make_tuple_indices input error");
    typedef __make_indices_imp<_Ep, _Sp> type;
};


template <class ..._Tp> class __attribute__ ((__type_visibility__("default"))) tuple;

template <class... _Tp> struct __tuple_like<tuple<_Tp...> > : true_type {};

template <class ..._Tp>
struct __attribute__ ((__type_visibility__("default"))) tuple_size<tuple<_Tp...> >
    : public integral_constant<size_t, sizeof...(_Tp)>
{
};

template <size_t _Ip, class ..._Tp>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename tuple_element<_Ip, tuple<_Tp...> >::type&
get(tuple<_Tp...>&) noexcept;

template <size_t _Ip, class ..._Tp>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const typename tuple_element<_Ip, tuple<_Tp...> >::type&
get(const tuple<_Tp...>&) noexcept;

template <size_t _Ip, class ..._Tp>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename tuple_element<_Ip, tuple<_Tp...> >::type&&
get(tuple<_Tp...>&&) noexcept;

template <size_t _Ip, class ..._Tp>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const typename tuple_element<_Ip, tuple<_Tp...> >::type&&
get(const tuple<_Tp...>&&) noexcept;





template <class _T1, class _T2> struct __tuple_like<pair<_T1, _T2> > : true_type {};

template <size_t _Ip, class _T1, class _T2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename tuple_element<_Ip, pair<_T1, _T2> >::type&
get(pair<_T1, _T2>&) noexcept;

template <size_t _Ip, class _T1, class _T2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const typename tuple_element<_Ip, pair<_T1, _T2> >::type&
get(const pair<_T1, _T2>&) noexcept;


template <size_t _Ip, class _T1, class _T2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename tuple_element<_Ip, pair<_T1, _T2> >::type&&
get(pair<_T1, _T2>&&) noexcept;

template <size_t _Ip, class _T1, class _T2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const typename tuple_element<_Ip, pair<_T1, _T2> >::type&&
get(const pair<_T1, _T2>&&) noexcept;




template <class _Tp, size_t _Size> struct __attribute__ ((__type_visibility__("default"))) array;

template <class _Tp, size_t _Size> struct __tuple_like<array<_Tp, _Size> > : true_type {};

template <size_t _Ip, class _Tp, size_t _Size>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp&
get(array<_Tp, _Size>&) noexcept;

template <size_t _Ip, class _Tp, size_t _Size>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const _Tp&
get(const array<_Tp, _Size>&) noexcept;


template <size_t _Ip, class _Tp, size_t _Size>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp&&
get(array<_Tp, _Size>&&) noexcept;

template <size_t _Ip, class _Tp, size_t _Size>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const _Tp&&
get(const array<_Tp, _Size>&&) noexcept;






template <class ..._Tp> struct __tuple_types {};
# 284 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__tuple" 3
template <size_t _Ip, class ..._Types>
class __attribute__ ((__type_visibility__("default"))) tuple_element<_Ip, __tuple_types<_Types...>>
{
public:
    static_assert(_Ip < sizeof...(_Types), "tuple_element index out of range");
    typedef __type_pack_element<_Ip, _Types...> type;
};


template <class ..._Tp>
struct __attribute__ ((__type_visibility__("default"))) tuple_size<__tuple_types<_Tp...> >
    : public integral_constant<size_t, sizeof...(_Tp)>
{
};

template <class... _Tp> struct __tuple_like<__tuple_types<_Tp...> > : true_type {};

template <bool _ApplyLV, bool _ApplyConst, bool _ApplyVolatile>
struct __apply_cv_mf;
template <>
struct __apply_cv_mf<false, false, false> {
  template <class _Tp> using __apply = _Tp;
};
template <>
struct __apply_cv_mf<false, true, false> {
  template <class _Tp> using __apply = const _Tp;
};
template <>
struct __apply_cv_mf<false, false, true> {
  template <class _Tp> using __apply = volatile _Tp;
};
template <>
struct __apply_cv_mf<false, true, true> {
  template <class _Tp> using __apply = const volatile _Tp;
};
template <>
struct __apply_cv_mf<true, false, false> {
  template <class _Tp> using __apply = _Tp&;
};
template <>
struct __apply_cv_mf<true, true, false> {
  template <class _Tp> using __apply = const _Tp&;
};
template <>
struct __apply_cv_mf<true, false, true> {
  template <class _Tp> using __apply = volatile _Tp&;
};
template <>
struct __apply_cv_mf<true, true, true> {
  template <class _Tp> using __apply = const volatile _Tp&;
};
template <class _Tp, class _RawTp = typename remove_reference<_Tp>::type>
using __apply_cv_t = __apply_cv_mf<
    is_lvalue_reference<_Tp>::value,
    is_const<_RawTp>::value,
    is_volatile<_RawTp>::value>;
# 348 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__tuple" 3
template <class _TupleTypes, class _TupleIndices>
struct __make_tuple_types_flat;

template <template <class...> class _Tuple, class ..._Types, size_t ..._Idx>
struct __make_tuple_types_flat<_Tuple<_Types...>, __tuple_indices<_Idx...>> {

  template <class _Tp, class _ApplyFn = __apply_cv_t<_Tp>>
  using __apply_quals = __tuple_types<
      typename _ApplyFn::template __apply<__type_pack_element<_Idx, _Types...>>...
    >;
};

template <class _Vt, size_t _Np, size_t ..._Idx>
struct __make_tuple_types_flat<array<_Vt, _Np>, __tuple_indices<_Idx...>> {
  template <size_t>
  using __value_type = _Vt;
  template <class _Tp, class _ApplyFn = __apply_cv_t<_Tp>>
  using __apply_quals = __tuple_types<
      typename _ApplyFn::template __apply<__value_type<_Idx>>...
    >;
};

template <class _Tp, size_t _Ep = tuple_size<typename remove_reference<_Tp>::type>::value,
          size_t _Sp = 0,
          bool _SameSize = (_Ep == tuple_size<typename remove_reference<_Tp>::type>::value)>
struct __make_tuple_types
{
    static_assert(_Sp <= _Ep, "__make_tuple_types input error");
    using _RawTp = typename remove_cv<typename remove_reference<_Tp>::type>::type;
    using _Maker = __make_tuple_types_flat<_RawTp, typename __make_tuple_indices<_Ep, _Sp>::type>;
    using type = typename _Maker::template __apply_quals<_Tp>;
};

template <class ..._Types, size_t _Ep>
struct __make_tuple_types<tuple<_Types...>, _Ep, 0, true> {
  typedef __tuple_types<_Types...> type;
};

template <class ..._Types, size_t _Ep>
struct __make_tuple_types<__tuple_types<_Types...>, _Ep, 0, true> {
  typedef __tuple_types<_Types...> type;
};

template <bool ..._Preds>
struct __all_dummy;

template <bool ..._Pred>
using __all = is_same<__all_dummy<_Pred...>, __all_dummy<((void)_Pred, true)...>>;

struct __tuple_sfinae_base {
  template <template <class, class...> class _Trait,
            class ..._LArgs, class ..._RArgs>
  static auto __do_test(__tuple_types<_LArgs...>, __tuple_types<_RArgs...>)
    -> __all<typename enable_if<_Trait<_LArgs, _RArgs>::value, bool>::type{true}...>;
  template <template <class...> class>
  static auto __do_test(...) -> false_type;

  template <class _FromArgs, class _ToArgs>
  using __constructible = decltype(__do_test<is_constructible>(_ToArgs{}, _FromArgs{}));
  template <class _FromArgs, class _ToArgs>
  using __convertible = decltype(__do_test<is_convertible>(_FromArgs{}, _ToArgs{}));
  template <class _FromArgs, class _ToArgs>
  using __assignable = decltype(__do_test<is_assignable>(_ToArgs{}, _FromArgs{}));
};



template <class _Tp, class _Up, bool = __tuple_like<typename remove_reference<_Tp>::type>::value,
                                bool = __tuple_like<_Up>::value>
struct __tuple_convertible
    : public false_type {};

template <class _Tp, class _Up>
struct __tuple_convertible<_Tp, _Up, true, true>
    : public __tuple_sfinae_base::__convertible<
      typename __make_tuple_types<_Tp>::type
    , typename __make_tuple_types<_Up>::type
    >
{};



template <class _Tp, class _Up, bool = __tuple_like<typename remove_reference<_Tp>::type>::value,
                                bool = __tuple_like<_Up>::value>
struct __tuple_constructible
    : public false_type {};

template <class _Tp, class _Up>
struct __tuple_constructible<_Tp, _Up, true, true>
    : public __tuple_sfinae_base::__constructible<
      typename __make_tuple_types<_Tp>::type
    , typename __make_tuple_types<_Up>::type
    >
{};



template <class _Tp, class _Up, bool = __tuple_like<typename remove_reference<_Tp>::type>::value,
                                bool = __tuple_like<_Up>::value>
struct __tuple_assignable
    : public false_type {};

template <class _Tp, class _Up>
struct __tuple_assignable<_Tp, _Up, true, true>
    : public __tuple_sfinae_base::__assignable<
      typename __make_tuple_types<_Tp>::type
    , typename __make_tuple_types<_Up&>::type
    >
{};


template <size_t _Ip, class ..._Tp>
class __attribute__ ((__type_visibility__("default"))) tuple_element<_Ip, tuple<_Tp...> >
{
public:
    typedef typename tuple_element<_Ip, __tuple_types<_Tp...> >::type type;
};


template <size_t _Ip, class ..._Tp>
using tuple_element_t = typename tuple_element <_Ip, _Tp...>::type;


template <bool _IsTuple, class _SizeTrait, size_t _Expected>
struct __tuple_like_with_size_imp : false_type {};

template <class _SizeTrait, size_t _Expected>
struct __tuple_like_with_size_imp<true, _SizeTrait, _Expected>
    : integral_constant<bool, _SizeTrait::value == _Expected> {};

template <class _Tuple, size_t _ExpectedSize,
          class _RawTuple = typename __uncvref<_Tuple>::type>
using __tuple_like_with_size = __tuple_like_with_size_imp<
                                   __tuple_like<_RawTuple>::value,
                                   tuple_size<_RawTuple>, _ExpectedSize
                              >;

struct __attribute__ ((__visibility__("default"))) __check_tuple_constructor_fail {
    template <class ...>
    static constexpr bool __enable_default() { return false; }
    template <class ...>
    static constexpr bool __enable_explicit() { return false; }
    template <class ...>
    static constexpr bool __enable_implicit() { return false; }
    template <class ...>
    static constexpr bool __enable_assign() { return false; }
};




template <bool _CanCopy, bool _CanMove>
struct __sfinae_ctor_base {};
template <>
struct __sfinae_ctor_base<false, false> {
  __sfinae_ctor_base() = default;
  __sfinae_ctor_base(__sfinae_ctor_base const&) = delete;
  __sfinae_ctor_base(__sfinae_ctor_base &&) = delete;
  __sfinae_ctor_base& operator=(__sfinae_ctor_base const&) = default;
  __sfinae_ctor_base& operator=(__sfinae_ctor_base&&) = default;
};
template <>
struct __sfinae_ctor_base<true, false> {
  __sfinae_ctor_base() = default;
  __sfinae_ctor_base(__sfinae_ctor_base const&) = default;
  __sfinae_ctor_base(__sfinae_ctor_base &&) = delete;
  __sfinae_ctor_base& operator=(__sfinae_ctor_base const&) = default;
  __sfinae_ctor_base& operator=(__sfinae_ctor_base&&) = default;
};
template <>
struct __sfinae_ctor_base<false, true> {
  __sfinae_ctor_base() = default;
  __sfinae_ctor_base(__sfinae_ctor_base const&) = delete;
  __sfinae_ctor_base(__sfinae_ctor_base &&) = default;
  __sfinae_ctor_base& operator=(__sfinae_ctor_base const&) = default;
  __sfinae_ctor_base& operator=(__sfinae_ctor_base&&) = default;
};

template <bool _CanCopy, bool _CanMove>
struct __sfinae_assign_base {};
template <>
struct __sfinae_assign_base<false, false> {
  __sfinae_assign_base() = default;
  __sfinae_assign_base(__sfinae_assign_base const&) = default;
  __sfinae_assign_base(__sfinae_assign_base &&) = default;
  __sfinae_assign_base& operator=(__sfinae_assign_base const&) = delete;
  __sfinae_assign_base& operator=(__sfinae_assign_base&&) = delete;
};
template <>
struct __sfinae_assign_base<true, false> {
  __sfinae_assign_base() = default;
  __sfinae_assign_base(__sfinae_assign_base const&) = default;
  __sfinae_assign_base(__sfinae_assign_base &&) = default;
  __sfinae_assign_base& operator=(__sfinae_assign_base const&) = default;
  __sfinae_assign_base& operator=(__sfinae_assign_base&&) = delete;
};
template <>
struct __sfinae_assign_base<false, true> {
  __sfinae_assign_base() = default;
  __sfinae_assign_base(__sfinae_assign_base const&) = default;
  __sfinae_assign_base(__sfinae_assign_base &&) = default;
  __sfinae_assign_base& operator=(__sfinae_assign_base const&) = delete;
  __sfinae_assign_base& operator=(__sfinae_assign_base&&) = default;
};


} }
# 201 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 2 3




# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdint" 1 3
# 144 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdint" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 145 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdint" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdint.h" 1 3
# 102 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdint.h" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 103 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdint.h" 2 3
# 106 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdint.h" 3
# 119 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdint.h" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/stdint.h" 1 3 4
# 63 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/stdint.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdint.h" 1 3 4
# 23 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdint.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uint8_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uint8_t.h" 3 4
typedef unsigned char uint8_t;
# 24 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdint.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uint16_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uint16_t.h" 3 4
typedef unsigned short uint16_t;
# 25 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdint.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uint32_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uint32_t.h" 3 4
typedef unsigned int uint32_t;
# 26 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdint.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uint64_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uint64_t.h" 3 4
typedef unsigned long long uint64_t;
# 27 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdint.h" 2 3 4


typedef int8_t int_least8_t;
typedef int16_t int_least16_t;
typedef int32_t int_least32_t;
typedef int64_t int_least64_t;
typedef uint8_t uint_least8_t;
typedef uint16_t uint_least16_t;
typedef uint32_t uint_least32_t;
typedef uint64_t uint_least64_t;



typedef int8_t int_fast8_t;
typedef int16_t int_fast16_t;
typedef int32_t int_fast32_t;
typedef int64_t int_fast64_t;
typedef uint8_t uint_fast8_t;
typedef uint16_t uint_fast16_t;
typedef uint32_t uint_fast32_t;
typedef uint64_t uint_fast64_t;
# 58 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdint.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_intmax_t.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_intmax_t.h" 3 4
typedef long int intmax_t;
# 59 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdint.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uintmax_t.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_uintmax_t.h" 3 4
typedef long unsigned int uintmax_t;
# 60 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdint.h" 2 3 4
# 64 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/stdint.h" 2 3 4
# 120 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdint.h" 2 3
# 146 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdint" 2 3
# 149 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdint" 3


namespace std { inline namespace __1 {

using::int8_t;
using::int16_t;
using::int32_t;
using::int64_t;

using::uint8_t;
using::uint16_t;
using::uint32_t;
using::uint64_t;

using::int_least8_t;
using::int_least16_t;
using::int_least32_t;
using::int_least64_t;

using::uint_least8_t;
using::uint_least16_t;
using::uint_least32_t;
using::uint_least64_t;

using::int_fast8_t;
using::int_fast16_t;
using::int_fast32_t;
using::int_fast64_t;

using::uint_fast8_t;
using::uint_fast16_t;
using::uint_fast32_t;
using::uint_fast64_t;

using::intptr_t;
using::uintptr_t;

using::intmax_t;
using::uintmax_t;

} }
# 206 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 2 3

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__debug" 1 3
# 14 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__debug" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 15 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__debug" 2 3
# 18 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__debug" 3
# 54 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__debug" 3
class __attribute__ ((__visibility__("default"))) __libcpp_debug_exception;


namespace std { inline namespace __1 {

struct __attribute__ ((__type_visibility__("default"))) __libcpp_debug_info {
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
  __libcpp_debug_info()
      : __file_(nullptr), __line_(-1), __pred_(nullptr), __msg_(nullptr) {}
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
  __libcpp_debug_info(const char* __f, int __l, const char* __p, const char* __m)
    : __file_(__f), __line_(__l), __pred_(__p), __msg_(__m) {}
  const char* __file_;
  int __line_;
  const char* __pred_;
  const char* __msg_;
};


typedef void(*__libcpp_debug_function_type)(__libcpp_debug_info const&);



extern __attribute__((__visibility__("default"))) __libcpp_debug_function_type __libcpp_debug_function;


[[noreturn]] __attribute__ ((__visibility__("default")))
void __libcpp_abort_debug_function(__libcpp_debug_info const&);



 [[noreturn]] __attribute__ ((__visibility__("default")))
void __libcpp_throw_debug_function(__libcpp_debug_info const&);



__attribute__ ((__visibility__("default")))
bool __libcpp_set_debug_function(__libcpp_debug_function_type __func);
# 299 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__debug" 3
} }
# 208 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 2 3
# 211 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 3


namespace std { inline namespace __1 {

namespace rel_ops
{

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(const _Tp& __x, const _Tp& __y)
{
    return !(__x == __y);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator> (const _Tp& __x, const _Tp& __y)
{
    return __y < __x;
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<=(const _Tp& __x, const _Tp& __y)
{
    return !(__y < __x);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>=(const _Tp& __x, const _Tp& __y)
{
    return !(__x < __y);
}

}




template <class _ForwardIterator1, class _ForwardIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator2
swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1, _ForwardIterator2 __first2)
{
    for(; __first1 != __last1; ++__first1, (void) ++__first2)
        swap(*__first1, *__first2);
    return __first2;
}


template<class _Tp, size_t _Np>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if<
    __is_swappable<_Tp>::value
>::type
swap(_Tp (&__a)[_Np], _Tp (&__b)[_Np]) noexcept(__is_nothrow_swappable<_Tp>::value)
{
    std::__1::swap_ranges(__a, __a + _Np, __b);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr

typename conditional
<
    !is_nothrow_move_constructible<_Tp>::value && is_copy_constructible<_Tp>::value,
    const _Tp&,
    _Tp&&
>::type



move_if_noexcept(_Tp& __x) noexcept
{
    return std::__1::move(__x);
}


template <class _Tp> constexpr add_const_t<_Tp>& as_const(_Tp& __t) noexcept { return __t; }
template <class _Tp> void as_const(const _Tp&&) = delete;


struct __attribute__ ((__type_visibility__("default"))) piecewise_construct_t { };



                         constexpr piecewise_construct_t piecewise_construct = piecewise_construct_t();
# 315 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 3
template <class _T1, class _T2>
struct __attribute__ ((__type_visibility__("default"))) pair



{
    typedef _T1 first_type;
    typedef _T2 second_type;

    _T1 first;
    _T2 second;


    pair(pair const&) = default;
    pair(pair&&) = default;
# 352 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 3
    template <bool _Val>
    using _EnableB = typename enable_if<_Val, bool>::type;

    struct _CheckArgs {
      template <class _U1, class _U2>
      static constexpr bool __enable_default() {
          return is_default_constructible<_U1>::value
              && is_default_constructible<_U2>::value;
      }

      template <class _U1, class _U2>
      static constexpr bool __enable_explicit() {
          return is_constructible<first_type, _U1>::value
              && is_constructible<second_type, _U2>::value
              && (!is_convertible<_U1, first_type>::value
                  || !is_convertible<_U2, second_type>::value);
      }

      template <class _U1, class _U2>
      static constexpr bool __enable_implicit() {
          return is_constructible<first_type, _U1>::value
              && is_constructible<second_type, _U2>::value
              && is_convertible<_U1, first_type>::value
              && is_convertible<_U2, second_type>::value;
      }
    };

    template <bool _MaybeEnable>
    using _CheckArgsDep = typename conditional<
      _MaybeEnable, _CheckArgs, __check_tuple_constructor_fail>::type;

    struct _CheckTupleLikeConstructor {
        template <class _Tuple>
        static constexpr bool __enable_implicit() {
            return __tuple_convertible<_Tuple, pair>::value;
        }

        template <class _Tuple>
        static constexpr bool __enable_explicit() {
            return __tuple_constructible<_Tuple, pair>::value
               && !__tuple_convertible<_Tuple, pair>::value;
        }

        template <class _Tuple>
        static constexpr bool __enable_assign() {
            return __tuple_assignable<_Tuple, pair>::value;
        }
    };

    template <class _Tuple>
    using _CheckTLC = typename conditional<
        __tuple_like_with_size<_Tuple, 2>::value
            && !is_same<typename decay<_Tuple>::type, pair>::value,
        _CheckTupleLikeConstructor,
        __check_tuple_constructor_fail
    >::type;

    template<bool _Dummy = true, _EnableB<
            _CheckArgsDep<_Dummy>::template __enable_default<_T1, _T2>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    pair() noexcept(is_nothrow_default_constructible<first_type>::value && is_nothrow_default_constructible<second_type>::value)

        : first(), second() {}

    template <bool _Dummy = true, _EnableB<
             _CheckArgsDep<_Dummy>::template __enable_explicit<_T1 const&, _T2 const&>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    explicit pair(_T1 const& __t1, _T2 const& __t2)
        noexcept(is_nothrow_copy_constructible<first_type>::value && is_nothrow_copy_constructible<second_type>::value)

        : first(__t1), second(__t2) {}

    template<bool _Dummy = true, _EnableB<
            _CheckArgsDep<_Dummy>::template __enable_implicit<_T1 const&, _T2 const&>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    pair(_T1 const& __t1, _T2 const& __t2)
        noexcept(is_nothrow_copy_constructible<first_type>::value && is_nothrow_copy_constructible<second_type>::value)

        : first(__t1), second(__t2) {}

    template<class _U1, class _U2, _EnableB<
             _CheckArgs::template __enable_explicit<_U1, _U2>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    explicit pair(_U1&& __u1, _U2&& __u2)
        noexcept((is_nothrow_constructible<first_type, _U1>::value && is_nothrow_constructible<second_type, _U2>::value))

        : first(std::__1::forward<_U1>(__u1)), second(std::__1::forward<_U2>(__u2)) {}

    template<class _U1, class _U2, _EnableB<
            _CheckArgs::template __enable_implicit<_U1, _U2>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    pair(_U1&& __u1, _U2&& __u2)
        noexcept((is_nothrow_constructible<first_type, _U1>::value && is_nothrow_constructible<second_type, _U2>::value))

        : first(std::__1::forward<_U1>(__u1)), second(std::__1::forward<_U2>(__u2)) {}

    template<class _U1, class _U2, _EnableB<
            _CheckArgs::template __enable_explicit<_U1 const&, _U2 const&>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    explicit pair(pair<_U1, _U2> const& __p)
        noexcept((is_nothrow_constructible<first_type, _U1 const&>::value && is_nothrow_constructible<second_type, _U2 const&>::value))

        : first(__p.first), second(__p.second) {}

    template<class _U1, class _U2, _EnableB<
            _CheckArgs::template __enable_implicit<_U1 const&, _U2 const&>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    pair(pair<_U1, _U2> const& __p)
        noexcept((is_nothrow_constructible<first_type, _U1 const&>::value && is_nothrow_constructible<second_type, _U2 const&>::value))

        : first(__p.first), second(__p.second) {}

    template<class _U1, class _U2, _EnableB<
            _CheckArgs::template __enable_explicit<_U1, _U2>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    explicit pair(pair<_U1, _U2>&&__p)
        noexcept((is_nothrow_constructible<first_type, _U1&&>::value && is_nothrow_constructible<second_type, _U2&&>::value))

        : first(std::__1::forward<_U1>(__p.first)), second(std::__1::forward<_U2>(__p.second)) {}

    template<class _U1, class _U2, _EnableB<
            _CheckArgs::template __enable_implicit<_U1, _U2>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    pair(pair<_U1, _U2>&& __p)
        noexcept((is_nothrow_constructible<first_type, _U1&&>::value && is_nothrow_constructible<second_type, _U2&&>::value))

        : first(std::__1::forward<_U1>(__p.first)), second(std::__1::forward<_U2>(__p.second)) {}

    template<class _Tuple, _EnableB<
            _CheckTLC<_Tuple>::template __enable_explicit<_Tuple>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    explicit pair(_Tuple&& __p)
        : first(std::__1::get<0>(std::__1::forward<_Tuple>(__p))),
          second(std::__1::get<1>(std::__1::forward<_Tuple>(__p))) {}

    template<class _Tuple, _EnableB<
            _CheckTLC<_Tuple>::template __enable_implicit<_Tuple>()
    > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    pair(_Tuple&& __p)
        : first(std::__1::get<0>(std::__1::forward<_Tuple>(__p))),
          second(std::__1::get<1>(std::__1::forward<_Tuple>(__p))) {}

    template <class... _Args1, class... _Args2>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    pair(piecewise_construct_t __pc,
         tuple<_Args1...> __first_args, tuple<_Args2...> __second_args)
        noexcept((is_nothrow_constructible<first_type, _Args1...>::value && is_nothrow_constructible<second_type, _Args2...>::value))

        : pair(__pc, __first_args, __second_args,
                typename __make_tuple_indices<sizeof...(_Args1)>::type(),
                typename __make_tuple_indices<sizeof...(_Args2) >::type()) {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    pair& operator=(typename conditional<
                        is_copy_assignable<first_type>::value &&
                        is_copy_assignable<second_type>::value,
                    pair, __nat>::type const& __p)
        noexcept(is_nothrow_copy_assignable<first_type>::value && is_nothrow_copy_assignable<second_type>::value)

    {
        first = __p.first;
        second = __p.second;
        return *this;
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    pair& operator=(typename conditional<
                        is_move_assignable<first_type>::value &&
                        is_move_assignable<second_type>::value,
                    pair, __nat>::type&& __p)
        noexcept(is_nothrow_move_assignable<first_type>::value && is_nothrow_move_assignable<second_type>::value)

    {
        first = std::__1::forward<first_type>(__p.first);
        second = std::__1::forward<second_type>(__p.second);
        return *this;
    }

    template <class _Tuple, _EnableB<
            _CheckTLC<_Tuple>::template __enable_assign<_Tuple>()
     > = false>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    pair& operator=(_Tuple&& __p) {
        first = std::__1::get<0>(std::__1::forward<_Tuple>(__p));
        second = std::__1::get<1>(std::__1::forward<_Tuple>(__p));
        return *this;
    }


    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void
    swap(pair& __p) noexcept(__is_nothrow_swappable<first_type>::value && __is_nothrow_swappable<second_type>::value)

    {
        using std::__1::swap;
        swap(first, __p.first);
        swap(second, __p.second);
    }
private:


    template <class... _Args1, class... _Args2, size_t... _I1, size_t... _I2>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        pair(piecewise_construct_t,
             tuple<_Args1...>& __first_args, tuple<_Args2...>& __second_args,
             __tuple_indices<_I1...>, __tuple_indices<_I2...>);

};


template<class _T1, class _T2>
pair(_T1, _T2) -> pair<_T1, _T2>;


template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator==(const pair<_T1,_T2>& __x, const pair<_T1,_T2>& __y)
{
    return __x.first == __y.first && __x.second == __y.second;
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator!=(const pair<_T1,_T2>& __x, const pair<_T1,_T2>& __y)
{
    return !(__x == __y);
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator< (const pair<_T1,_T2>& __x, const pair<_T1,_T2>& __y)
{
    return __x.first < __y.first || (!(__y.first < __x.first) && __x.second < __y.second);
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator> (const pair<_T1,_T2>& __x, const pair<_T1,_T2>& __y)
{
    return __y < __x;
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>=(const pair<_T1,_T2>& __x, const pair<_T1,_T2>& __y)
{
    return !(__x < __y);
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<=(const pair<_T1,_T2>& __x, const pair<_T1,_T2>& __y)
{
    return !(__y < __x);
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    __is_swappable<_T1>::value &&
    __is_swappable<_T2>::value,
    void
>::type
swap(pair<_T1, _T2>& __x, pair<_T1, _T2>& __y)
                     noexcept((__is_nothrow_swappable<_T1>::value && __is_nothrow_swappable<_T2>::value))

{
    __x.swap(__y);
}

template <class _Tp>
struct __unwrap_reference { typedef _Tp type; };

template <class _Tp>
struct __unwrap_reference<reference_wrapper<_Tp> > { typedef _Tp& type; };
# 654 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 3
template <class _Tp>
struct __unwrap_ref_decay



    : __unwrap_reference<typename decay<_Tp>::type>

{ };



template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
pair<typename __unwrap_ref_decay<_T1>::type, typename __unwrap_ref_decay<_T2>::type>
make_pair(_T1&& __t1, _T2&& __t2)
{
    return pair<typename __unwrap_ref_decay<_T1>::type, typename __unwrap_ref_decay<_T2>::type>
               (std::__1::forward<_T1>(__t1), std::__1::forward<_T2>(__t2));
}
# 686 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 3
template <class _T1, class _T2>
  struct __attribute__ ((__type_visibility__("default"))) tuple_size<pair<_T1, _T2> >
    : public integral_constant<size_t, 2> {};

template <size_t _Ip, class _T1, class _T2>
class __attribute__ ((__type_visibility__("default"))) tuple_element<_Ip, pair<_T1, _T2> >
{
    static_assert(_Ip < 2, "Index out of bounds in std::tuple_element<std::pair<T1, T2>>");
};

template <class _T1, class _T2>
class __attribute__ ((__type_visibility__("default"))) tuple_element<0, pair<_T1, _T2> >
{
public:
    typedef _T1 type;
};

template <class _T1, class _T2>
class __attribute__ ((__type_visibility__("default"))) tuple_element<1, pair<_T1, _T2> >
{
public:
    typedef _T2 type;
};

template <size_t _Ip> struct __get_pair;

template <>
struct __get_pair<0>
{
    template <class _T1, class _T2>
    static
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    _T1&
    get(pair<_T1, _T2>& __p) noexcept {return __p.first;}

    template <class _T1, class _T2>
    static
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    const _T1&
    get(const pair<_T1, _T2>& __p) noexcept {return __p.first;}


    template <class _T1, class _T2>
    static
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    _T1&&
    get(pair<_T1, _T2>&& __p) noexcept {return std::__1::forward<_T1>(__p.first);}

    template <class _T1, class _T2>
    static
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    const _T1&&
    get(const pair<_T1, _T2>&& __p) noexcept {return std::__1::forward<const _T1>(__p.first);}

};

template <>
struct __get_pair<1>
{
    template <class _T1, class _T2>
    static
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    _T2&
    get(pair<_T1, _T2>& __p) noexcept {return __p.second;}

    template <class _T1, class _T2>
    static
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    const _T2&
    get(const pair<_T1, _T2>& __p) noexcept {return __p.second;}


    template <class _T1, class _T2>
    static
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    _T2&&
    get(pair<_T1, _T2>&& __p) noexcept {return std::__1::forward<_T2>(__p.second);}

    template <class _T1, class _T2>
    static
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    const _T2&&
    get(const pair<_T1, _T2>&& __p) noexcept {return std::__1::forward<const _T2>(__p.second);}

};

template <size_t _Ip, class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename tuple_element<_Ip, pair<_T1, _T2> >::type&
get(pair<_T1, _T2>& __p) noexcept
{
    return __get_pair<_Ip>::get(__p);
}

template <size_t _Ip, class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const typename tuple_element<_Ip, pair<_T1, _T2> >::type&
get(const pair<_T1, _T2>& __p) noexcept
{
    return __get_pair<_Ip>::get(__p);
}


template <size_t _Ip, class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename tuple_element<_Ip, pair<_T1, _T2> >::type&&
get(pair<_T1, _T2>&& __p) noexcept
{
    return __get_pair<_Ip>::get(std::__1::move(__p));
}

template <size_t _Ip, class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const typename tuple_element<_Ip, pair<_T1, _T2> >::type&&
get(const pair<_T1, _T2>&& __p) noexcept
{
    return __get_pair<_Ip>::get(std::__1::move(__p));
}



template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 & get(pair<_T1, _T2>& __p) noexcept
{
    return __get_pair<0>::get(__p);
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 const & get(pair<_T1, _T2> const& __p) noexcept
{
    return __get_pair<0>::get(__p);
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 && get(pair<_T1, _T2>&& __p) noexcept
{
    return __get_pair<0>::get(std::__1::move(__p));
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 const && get(pair<_T1, _T2> const&& __p) noexcept
{
    return __get_pair<0>::get(std::__1::move(__p));
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 & get(pair<_T2, _T1>& __p) noexcept
{
    return __get_pair<1>::get(__p);
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 const & get(pair<_T2, _T1> const& __p) noexcept
{
    return __get_pair<1>::get(__p);
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 && get(pair<_T2, _T1>&& __p) noexcept
{
    return __get_pair<1>::get(std::__1::move(__p));
}

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 const && get(pair<_T2, _T1> const&& __p) noexcept
{
    return __get_pair<1>::get(std::__1::move(__p));
}





template<class _Tp, _Tp... _Ip>
struct __attribute__ ((__type_visibility__("default"))) integer_sequence
{
    typedef _Tp value_type;
    static_assert( is_integral<_Tp>::value,
                  "std::integer_sequence can only be instantiated with an integral type" );
    static
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr
    size_t
    size() noexcept { return sizeof...(_Ip); }
};

template<size_t... _Ip>
    using index_sequence = integer_sequence<size_t, _Ip...>;



template <class _Tp, _Tp _Ep>
using __make_integer_sequence = __make_integer_seq<integer_sequence, _Tp, _Ep>;
# 909 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 3
template<class _Tp, _Tp _Np>
    using make_integer_sequence = __make_integer_sequence<_Tp, _Np>;

template<size_t _Np>
    using make_index_sequence = make_integer_sequence<size_t, _Np>;

template<class... _Tp>
    using index_sequence_for = make_index_sequence<sizeof...(_Tp)>;




template<class _T1, class _T2 = _T1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_T1 exchange(_T1& __obj, _T2 && __new_value)
{
    _T1 __old_value = std::__1::move(__obj);
    __obj = std::__1::forward<_T2>(__new_value);
    return __old_value;
}




struct __attribute__ ((__visibility__("default"))) in_place_t {
    explicit in_place_t() = default;
};
inline constexpr in_place_t in_place{};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) in_place_type_t {
    explicit in_place_type_t() = default;
};
template <class _Tp>
inline constexpr in_place_type_t<_Tp> in_place_type{};

template <size_t _Idx>
struct __attribute__ ((__visibility__("default"))) in_place_index_t {
    explicit in_place_index_t() = default;
};
template <size_t _Idx>
inline constexpr in_place_index_t<_Idx> in_place_index{};

template <class _Tp> struct __is_inplace_type_imp : false_type {};
template <class _Tp> struct __is_inplace_type_imp<in_place_type_t<_Tp>> : true_type {};

template <class _Tp>
using __is_inplace_type = __is_inplace_type_imp<__uncvref_t<_Tp>>;

template <class _Tp> struct __is_inplace_index_imp : false_type {};
template <size_t _Idx> struct __is_inplace_index_imp<in_place_index_t<_Idx>> : true_type {};

template <class _Tp>
using __is_inplace_index = __is_inplace_index_imp<__uncvref_t<_Tp>>;



template <class _Arg, class _Result>
struct __attribute__ ((__type_visibility__("default"))) unary_function
{
    typedef _Arg argument_type;
    typedef _Result result_type;
};

template <class _Size>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Size
__loadword(const void* __p)
{
    _Size __r;
    std::memcpy(&__r, __p, sizeof(__r));
    return __r;
}




template <class _Size, size_t = sizeof(_Size)*8>
struct __murmur2_or_cityhash;

template <class _Size>
struct __murmur2_or_cityhash<_Size, 32>
{
    inline _Size operator()(const void* __key, _Size __len)
         __attribute__((__no_sanitize__("unsigned-integer-overflow")));
};


template <class _Size>
_Size
__murmur2_or_cityhash<_Size, 32>::operator()(const void* __key, _Size __len)
{
    const _Size __m = 0x5bd1e995;
    const _Size __r = 24;
    _Size __h = __len;
    const unsigned char* __data = static_cast<const unsigned char*>(__key);
    for (; __len >= 4; __data += 4, __len -= 4)
    {
        _Size __k = __loadword<_Size>(__data);
        __k *= __m;
        __k ^= __k >> __r;
        __k *= __m;
        __h *= __m;
        __h ^= __k;
    }
    switch (__len)
    {
    case 3:
        __h ^= __data[2] << 16;
        [[fallthrough]];
    case 2:
        __h ^= __data[1] << 8;
        [[fallthrough]];
    case 1:
        __h ^= __data[0];
        __h *= __m;
    }
    __h ^= __h >> 13;
    __h *= __m;
    __h ^= __h >> 15;
    return __h;
}

template <class _Size>
struct __murmur2_or_cityhash<_Size, 64>
{
    inline _Size operator()(const void* __key, _Size __len) __attribute__((__no_sanitize__("unsigned-integer-overflow")));

 private:

  static const _Size __k0 = 0xc3a5c85c97cb3127ULL;
  static const _Size __k1 = 0xb492b66fbe98f273ULL;
  static const _Size __k2 = 0x9ae16a3b2f90404fULL;
  static const _Size __k3 = 0xc949d7c7509e6557ULL;

  static _Size __rotate(_Size __val, int __shift) {
    return __shift == 0 ? __val : ((__val >> __shift) | (__val << (64 - __shift)));
  }

  static _Size __rotate_by_at_least_1(_Size __val, int __shift) {
    return (__val >> __shift) | (__val << (64 - __shift));
  }

  static _Size __shift_mix(_Size __val) {
    return __val ^ (__val >> 47);
  }

  static _Size __hash_len_16(_Size __u, _Size __v)
     __attribute__((__no_sanitize__("unsigned-integer-overflow")))
  {
    const _Size __mul = 0x9ddfea08eb382d69ULL;
    _Size __a = (__u ^ __v) * __mul;
    __a ^= (__a >> 47);
    _Size __b = (__v ^ __a) * __mul;
    __b ^= (__b >> 47);
    __b *= __mul;
    return __b;
  }

  static _Size __hash_len_0_to_16(const char* __s, _Size __len)
     __attribute__((__no_sanitize__("unsigned-integer-overflow")))
  {
    if (__len > 8) {
      const _Size __a = __loadword<_Size>(__s);
      const _Size __b = __loadword<_Size>(__s + __len - 8);
      return __hash_len_16(__a, __rotate_by_at_least_1(__b + __len, __len)) ^ __b;
    }
    if (__len >= 4) {
      const uint32_t __a = __loadword<uint32_t>(__s);
      const uint32_t __b = __loadword<uint32_t>(__s + __len - 4);
      return __hash_len_16(__len + (__a << 3), __b);
    }
    if (__len > 0) {
      const unsigned char __a = __s[0];
      const unsigned char __b = __s[__len >> 1];
      const unsigned char __c = __s[__len - 1];
      const uint32_t __y = static_cast<uint32_t>(__a) +
                           (static_cast<uint32_t>(__b) << 8);
      const uint32_t __z = __len + (static_cast<uint32_t>(__c) << 2);
      return __shift_mix(__y * __k2 ^ __z * __k3) * __k2;
    }
    return __k2;
  }

  static _Size __hash_len_17_to_32(const char *__s, _Size __len)
     __attribute__((__no_sanitize__("unsigned-integer-overflow")))
  {
    const _Size __a = __loadword<_Size>(__s) * __k1;
    const _Size __b = __loadword<_Size>(__s + 8);
    const _Size __c = __loadword<_Size>(__s + __len - 8) * __k2;
    const _Size __d = __loadword<_Size>(__s + __len - 16) * __k0;
    return __hash_len_16(__rotate(__a - __b, 43) + __rotate(__c, 30) + __d,
                         __a + __rotate(__b ^ __k3, 20) - __c + __len);
  }



  static pair<_Size, _Size> __weak_hash_len_32_with_seeds(
      _Size __w, _Size __x, _Size __y, _Size __z, _Size __a, _Size __b)
        __attribute__((__no_sanitize__("unsigned-integer-overflow")))
  {
    __a += __w;
    __b = __rotate(__b + __a + __z, 21);
    const _Size __c = __a;
    __a += __x;
    __a += __y;
    __b += __rotate(__a, 44);
    return pair<_Size, _Size>(__a + __z, __b + __c);
  }


  static pair<_Size, _Size> __weak_hash_len_32_with_seeds(
      const char* __s, _Size __a, _Size __b)
    __attribute__((__no_sanitize__("unsigned-integer-overflow")))
  {
    return __weak_hash_len_32_with_seeds(__loadword<_Size>(__s),
                                         __loadword<_Size>(__s + 8),
                                         __loadword<_Size>(__s + 16),
                                         __loadword<_Size>(__s + 24),
                                         __a,
                                         __b);
  }


  static _Size __hash_len_33_to_64(const char *__s, size_t __len)
    __attribute__((__no_sanitize__("unsigned-integer-overflow")))
  {
    _Size __z = __loadword<_Size>(__s + 24);
    _Size __a = __loadword<_Size>(__s) +
                (__len + __loadword<_Size>(__s + __len - 16)) * __k0;
    _Size __b = __rotate(__a + __z, 52);
    _Size __c = __rotate(__a, 37);
    __a += __loadword<_Size>(__s + 8);
    __c += __rotate(__a, 7);
    __a += __loadword<_Size>(__s + 16);
    _Size __vf = __a + __z;
    _Size __vs = __b + __rotate(__a, 31) + __c;
    __a = __loadword<_Size>(__s + 16) + __loadword<_Size>(__s + __len - 32);
    __z += __loadword<_Size>(__s + __len - 8);
    __b = __rotate(__a + __z, 52);
    __c = __rotate(__a, 37);
    __a += __loadword<_Size>(__s + __len - 24);
    __c += __rotate(__a, 7);
    __a += __loadword<_Size>(__s + __len - 16);
    _Size __wf = __a + __z;
    _Size __ws = __b + __rotate(__a, 31) + __c;
    _Size __r = __shift_mix((__vf + __ws) * __k2 + (__wf + __vs) * __k0);
    return __shift_mix(__r * __k0 + __vs) * __k2;
  }
};


template <class _Size>
_Size
__murmur2_or_cityhash<_Size, 64>::operator()(const void* __key, _Size __len)
{
  const char* __s = static_cast<const char*>(__key);
  if (__len <= 32) {
    if (__len <= 16) {
      return __hash_len_0_to_16(__s, __len);
    } else {
      return __hash_len_17_to_32(__s, __len);
    }
  } else if (__len <= 64) {
    return __hash_len_33_to_64(__s, __len);
  }



  _Size __x = __loadword<_Size>(__s + __len - 40);
  _Size __y = __loadword<_Size>(__s + __len - 16) +
              __loadword<_Size>(__s + __len - 56);
  _Size __z = __hash_len_16(__loadword<_Size>(__s + __len - 48) + __len,
                          __loadword<_Size>(__s + __len - 24));
  pair<_Size, _Size> __v = __weak_hash_len_32_with_seeds(__s + __len - 64, __len, __z);
  pair<_Size, _Size> __w = __weak_hash_len_32_with_seeds(__s + __len - 32, __y + __k1, __x);
  __x = __x * __k1 + __loadword<_Size>(__s);


  __len = (__len - 1) & ~static_cast<_Size>(63);
  do {
    __x = __rotate(__x + __y + __v.first + __loadword<_Size>(__s + 8), 37) * __k1;
    __y = __rotate(__y + __v.second + __loadword<_Size>(__s + 48), 42) * __k1;
    __x ^= __w.second;
    __y += __v.first + __loadword<_Size>(__s + 40);
    __z = __rotate(__z + __w.first, 33) * __k1;
    __v = __weak_hash_len_32_with_seeds(__s, __v.second * __k1, __x + __w.first);
    __w = __weak_hash_len_32_with_seeds(__s + 32, __z + __w.second,
                                        __y + __loadword<_Size>(__s + 16));
    std::swap(__z, __x);
    __s += 64;
    __len -= 64;
  } while (__len != 0);
  return __hash_len_16(
      __hash_len_16(__v.first, __w.first) + __shift_mix(__y) * __k1 + __z,
      __hash_len_16(__v.second, __w.second) + __x);
}

template <class _Tp, size_t = sizeof(_Tp) / sizeof(size_t)>
struct __scalar_hash;

template <class _Tp>
struct __scalar_hash<_Tp, 0>
    : public unary_function<_Tp, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(_Tp __v) const noexcept
    {
        union
        {
            _Tp __t;
            size_t __a;
        } __u;
        __u.__a = 0;
        __u.__t = __v;
        return __u.__a;
    }
};

template <class _Tp>
struct __scalar_hash<_Tp, 1>
    : public unary_function<_Tp, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(_Tp __v) const noexcept
    {
        union
        {
            _Tp __t;
            size_t __a;
        } __u;
        __u.__t = __v;
        return __u.__a;
    }
};

template <class _Tp>
struct __scalar_hash<_Tp, 2>
    : public unary_function<_Tp, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(_Tp __v) const noexcept
    {
        union
        {
            _Tp __t;
            struct
            {
                size_t __a;
                size_t __b;
            } __s;
        } __u;
        __u.__t = __v;
        return __murmur2_or_cityhash<size_t>()(&__u, sizeof(__u));
    }
};

template <class _Tp>
struct __scalar_hash<_Tp, 3>
    : public unary_function<_Tp, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(_Tp __v) const noexcept
    {
        union
        {
            _Tp __t;
            struct
            {
                size_t __a;
                size_t __b;
                size_t __c;
            } __s;
        } __u;
        __u.__t = __v;
        return __murmur2_or_cityhash<size_t>()(&__u, sizeof(__u));
    }
};

template <class _Tp>
struct __scalar_hash<_Tp, 4>
    : public unary_function<_Tp, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(_Tp __v) const noexcept
    {
        union
        {
            _Tp __t;
            struct
            {
                size_t __a;
                size_t __b;
                size_t __c;
                size_t __d;
            } __s;
        } __u;
        __u.__t = __v;
        return __murmur2_or_cityhash<size_t>()(&__u, sizeof(__u));
    }
};

struct _PairT {
  size_t first;
  size_t second;
};

__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
inline size_t __hash_combine(size_t __lhs, size_t __rhs) noexcept {
    typedef __scalar_hash<_PairT> _HashT;
    const _PairT __p = {__lhs, __rhs};
    return _HashT()(__p);
}

template<class _Tp>
struct __attribute__ ((__type_visibility__("default"))) hash<_Tp*>
    : public unary_function<_Tp*, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(_Tp* __v) const noexcept
    {
        union
        {
            _Tp* __t;
            size_t __a;
        } __u;
        __u.__t = __v;
        return __murmur2_or_cityhash<size_t>()(&__u, sizeof(__u));
    }
};


template <>
struct __attribute__ ((__type_visibility__("default"))) hash<bool>
    : public unary_function<bool, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(bool __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<char>
    : public unary_function<char, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(char __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<signed char>
    : public unary_function<signed char, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(signed char __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<unsigned char>
    : public unary_function<unsigned char, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(unsigned char __v) const noexcept {return static_cast<size_t>(__v);}
};



template <>
struct __attribute__ ((__type_visibility__("default"))) hash<char16_t>
    : public unary_function<char16_t, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(char16_t __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<char32_t>
    : public unary_function<char32_t, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(char32_t __v) const noexcept {return static_cast<size_t>(__v);}
};



template <>
struct __attribute__ ((__type_visibility__("default"))) hash<wchar_t>
    : public unary_function<wchar_t, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(wchar_t __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<short>
    : public unary_function<short, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(short __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<unsigned short>
    : public unary_function<unsigned short, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(unsigned short __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<int>
    : public unary_function<int, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(int __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<unsigned int>
    : public unary_function<unsigned int, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(unsigned int __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<long>
    : public unary_function<long, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(long __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<unsigned long>
    : public unary_function<unsigned long, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(unsigned long __v) const noexcept {return static_cast<size_t>(__v);}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<long long>
    : public __scalar_hash<long long>
{
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<unsigned long long>
    : public __scalar_hash<unsigned long long>
{
};



template <>
struct __attribute__ ((__type_visibility__("default"))) hash<__int128_t>
    : public __scalar_hash<__int128_t>
{
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<__uint128_t>
    : public __scalar_hash<__uint128_t>
{
};



template <>
struct __attribute__ ((__type_visibility__("default"))) hash<float>
    : public __scalar_hash<float>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(float __v) const noexcept
    {

       if (__v == 0.0)
           return 0;
        return __scalar_hash<float>::operator()(__v);
    }
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<double>
    : public __scalar_hash<double>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(double __v) const noexcept
    {

       if (__v == 0.0)
           return 0;
        return __scalar_hash<double>::operator()(__v);
    }
};

template <>
struct __attribute__ ((__type_visibility__("default"))) hash<long double>
    : public __scalar_hash<long double>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(long double __v) const noexcept
    {

        if (__v == 0.0)
            return 0;
# 1536 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/utility" 3
        union
        {
            long double __t;
            struct
            {
                size_t __a;
                size_t __b;
            } __s;
        } __u;
        __u.__s.__a = 0;
        __u.__s.__b = 0;
        __u.__t = __v;
        return __u.__s.__a ^ __u.__s.__b;



    }
};



template <class _Tp, bool = is_enum<_Tp>::value>
struct __attribute__ ((__type_visibility__("default"))) __enum_hash
    : public unary_function<_Tp, size_t>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t operator()(_Tp __v) const noexcept
    {
        typedef typename underlying_type<_Tp>::type type;
        return hash<type>{}(static_cast<type>(__v));
    }
};
template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) __enum_hash<_Tp, false> {
    __enum_hash() = delete;
    __enum_hash(__enum_hash const&) = delete;
    __enum_hash& operator=(__enum_hash const&) = delete;
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) hash : public __enum_hash<_Tp>
{
};




template <>
struct __attribute__ ((__type_visibility__("default"))) hash<nullptr_t>
  : public unary_function<nullptr_t, size_t>
{
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  size_t operator()(nullptr_t) const noexcept {
    return 662607004ull;
  }
};



template <class _Key, class _Hash>
using __check_hash_requirements = integral_constant<bool,
    is_copy_constructible<_Hash>::value &&
    is_move_constructible<_Hash>::value &&
    __invokable_r<size_t, _Hash, _Key const&>::value
>;

template <class _Key, class _Hash = std::hash<_Key> >
using __has_enabled_hash = integral_constant<bool,
    __check_hash_requirements<_Key, _Hash>::value &&
    is_default_constructible<_Hash>::value
>;


template <class _Type, class>
using __enable_hash_helper_imp = _Type;

template <class _Type, class ..._Keys>
using __enable_hash_helper = __enable_hash_helper_imp<_Type,
  typename enable_if<__all<__has_enabled_hash<_Keys>::value...>::value>::type
>;







} }
# 644 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 1 3
# 652 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 653 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 2 3

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/typeinfo" 1 3
# 60 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/typeinfo" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 61 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/typeinfo" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/exception" 1 3
# 80 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/exception" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 81 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/exception" 2 3

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdlib" 1 3
# 85 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdlib" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 86 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdlib" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdlib.h" 1 3
# 88 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdlib.h" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 89 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdlib.h" 2 3
# 92 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdlib.h" 3


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 1 3 4
# 66 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 1 3 4
# 79 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 3 4
typedef enum {
 P_ALL,
 P_PID,
 P_PGID
} idtype_t;






# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_pid_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_pid_t.h" 3 4
typedef __darwin_pid_t pid_t;
# 90 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_id_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_id_t.h" 3 4
typedef __darwin_id_t id_t;
# 91 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 2 3 4
# 109 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 1 3 4
# 73 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/appleapiopts.h" 1 3 4
# 74 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 2 3 4








# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/signal.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/signal.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/signal.h" 1 3 4
# 39 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/signal.h" 3 4
typedef int sig_atomic_t;
# 33 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/signal.h" 2 3 4
# 83 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 2 3 4
# 146 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/_mcontext.h" 1 3 4
# 29 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/_mcontext.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/_mcontext.h" 1 3 4
# 34 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/_mcontext.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/machine/_structs.h" 1 3 4
# 33 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/machine/_structs.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 1 3 4
# 46 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_i386_thread_state
{
    unsigned int __eax;
    unsigned int __ebx;
    unsigned int __ecx;
    unsigned int __edx;
    unsigned int __edi;
    unsigned int __esi;
    unsigned int __ebp;
    unsigned int __esp;
    unsigned int __ss;
    unsigned int __eflags;
    unsigned int __eip;
    unsigned int __cs;
    unsigned int __ds;
    unsigned int __es;
    unsigned int __fs;
    unsigned int __gs;
};
# 92 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_fp_control
{
    unsigned short __invalid :1,
        __denorm :1,
    __zdiv :1,
    __ovrfl :1,
    __undfl :1,
    __precis :1,
      :2,
    __pc :2,





    __rc :2,






             :1,
      :3;
};
typedef struct __darwin_fp_control __darwin_fp_control_t;
# 150 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_fp_status
{
    unsigned short __invalid :1,
        __denorm :1,
    __zdiv :1,
    __ovrfl :1,
    __undfl :1,
    __precis :1,
    __stkflt :1,
    __errsumm :1,
    __c0 :1,
    __c1 :1,
    __c2 :1,
    __tos :3,
    __c3 :1,
    __busy :1;
};
typedef struct __darwin_fp_status __darwin_fp_status_t;
# 194 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_mmst_reg
{
 char __mmst_reg[10];
 char __mmst_rsrv[6];
};
# 213 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_xmm_reg
{
 char __xmm_reg[16];
};
# 229 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_ymm_reg
{
 char __ymm_reg[32];
};
# 245 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_zmm_reg
{
 char __zmm_reg[64];
};
# 259 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_opmask_reg
{
 char __opmask_reg[8];
};
# 281 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_i386_float_state
{
 int __fpu_reserved[2];
 struct __darwin_fp_control __fpu_fcw;
 struct __darwin_fp_status __fpu_fsw;
 __uint8_t __fpu_ftw;
 __uint8_t __fpu_rsrv1;
 __uint16_t __fpu_fop;
 __uint32_t __fpu_ip;
 __uint16_t __fpu_cs;
 __uint16_t __fpu_rsrv2;
 __uint32_t __fpu_dp;
 __uint16_t __fpu_ds;
 __uint16_t __fpu_rsrv3;
 __uint32_t __fpu_mxcsr;
 __uint32_t __fpu_mxcsrmask;
 struct __darwin_mmst_reg __fpu_stmm0;
 struct __darwin_mmst_reg __fpu_stmm1;
 struct __darwin_mmst_reg __fpu_stmm2;
 struct __darwin_mmst_reg __fpu_stmm3;
 struct __darwin_mmst_reg __fpu_stmm4;
 struct __darwin_mmst_reg __fpu_stmm5;
 struct __darwin_mmst_reg __fpu_stmm6;
 struct __darwin_mmst_reg __fpu_stmm7;
 struct __darwin_xmm_reg __fpu_xmm0;
 struct __darwin_xmm_reg __fpu_xmm1;
 struct __darwin_xmm_reg __fpu_xmm2;
 struct __darwin_xmm_reg __fpu_xmm3;
 struct __darwin_xmm_reg __fpu_xmm4;
 struct __darwin_xmm_reg __fpu_xmm5;
 struct __darwin_xmm_reg __fpu_xmm6;
 struct __darwin_xmm_reg __fpu_xmm7;
 char __fpu_rsrv4[14*16];
 int __fpu_reserved1;
};


struct __darwin_i386_avx_state
{
 int __fpu_reserved[2];
 struct __darwin_fp_control __fpu_fcw;
 struct __darwin_fp_status __fpu_fsw;
 __uint8_t __fpu_ftw;
 __uint8_t __fpu_rsrv1;
 __uint16_t __fpu_fop;
 __uint32_t __fpu_ip;
 __uint16_t __fpu_cs;
 __uint16_t __fpu_rsrv2;
 __uint32_t __fpu_dp;
 __uint16_t __fpu_ds;
 __uint16_t __fpu_rsrv3;
 __uint32_t __fpu_mxcsr;
 __uint32_t __fpu_mxcsrmask;
 struct __darwin_mmst_reg __fpu_stmm0;
 struct __darwin_mmst_reg __fpu_stmm1;
 struct __darwin_mmst_reg __fpu_stmm2;
 struct __darwin_mmst_reg __fpu_stmm3;
 struct __darwin_mmst_reg __fpu_stmm4;
 struct __darwin_mmst_reg __fpu_stmm5;
 struct __darwin_mmst_reg __fpu_stmm6;
 struct __darwin_mmst_reg __fpu_stmm7;
 struct __darwin_xmm_reg __fpu_xmm0;
 struct __darwin_xmm_reg __fpu_xmm1;
 struct __darwin_xmm_reg __fpu_xmm2;
 struct __darwin_xmm_reg __fpu_xmm3;
 struct __darwin_xmm_reg __fpu_xmm4;
 struct __darwin_xmm_reg __fpu_xmm5;
 struct __darwin_xmm_reg __fpu_xmm6;
 struct __darwin_xmm_reg __fpu_xmm7;
 char __fpu_rsrv4[14*16];
 int __fpu_reserved1;
 char __avx_reserved1[64];
 struct __darwin_xmm_reg __fpu_ymmh0;
 struct __darwin_xmm_reg __fpu_ymmh1;
 struct __darwin_xmm_reg __fpu_ymmh2;
 struct __darwin_xmm_reg __fpu_ymmh3;
 struct __darwin_xmm_reg __fpu_ymmh4;
 struct __darwin_xmm_reg __fpu_ymmh5;
 struct __darwin_xmm_reg __fpu_ymmh6;
 struct __darwin_xmm_reg __fpu_ymmh7;
};


struct __darwin_i386_avx512_state
{
 int __fpu_reserved[2];
 struct __darwin_fp_control __fpu_fcw;
 struct __darwin_fp_status __fpu_fsw;
 __uint8_t __fpu_ftw;
 __uint8_t __fpu_rsrv1;
 __uint16_t __fpu_fop;
 __uint32_t __fpu_ip;
 __uint16_t __fpu_cs;
 __uint16_t __fpu_rsrv2;
 __uint32_t __fpu_dp;
 __uint16_t __fpu_ds;
 __uint16_t __fpu_rsrv3;
 __uint32_t __fpu_mxcsr;
 __uint32_t __fpu_mxcsrmask;
 struct __darwin_mmst_reg __fpu_stmm0;
 struct __darwin_mmst_reg __fpu_stmm1;
 struct __darwin_mmst_reg __fpu_stmm2;
 struct __darwin_mmst_reg __fpu_stmm3;
 struct __darwin_mmst_reg __fpu_stmm4;
 struct __darwin_mmst_reg __fpu_stmm5;
 struct __darwin_mmst_reg __fpu_stmm6;
 struct __darwin_mmst_reg __fpu_stmm7;
 struct __darwin_xmm_reg __fpu_xmm0;
 struct __darwin_xmm_reg __fpu_xmm1;
 struct __darwin_xmm_reg __fpu_xmm2;
 struct __darwin_xmm_reg __fpu_xmm3;
 struct __darwin_xmm_reg __fpu_xmm4;
 struct __darwin_xmm_reg __fpu_xmm5;
 struct __darwin_xmm_reg __fpu_xmm6;
 struct __darwin_xmm_reg __fpu_xmm7;
 char __fpu_rsrv4[14*16];
 int __fpu_reserved1;
 char __avx_reserved1[64];
 struct __darwin_xmm_reg __fpu_ymmh0;
 struct __darwin_xmm_reg __fpu_ymmh1;
 struct __darwin_xmm_reg __fpu_ymmh2;
 struct __darwin_xmm_reg __fpu_ymmh3;
 struct __darwin_xmm_reg __fpu_ymmh4;
 struct __darwin_xmm_reg __fpu_ymmh5;
 struct __darwin_xmm_reg __fpu_ymmh6;
 struct __darwin_xmm_reg __fpu_ymmh7;
 struct __darwin_opmask_reg __fpu_k0;
 struct __darwin_opmask_reg __fpu_k1;
 struct __darwin_opmask_reg __fpu_k2;
 struct __darwin_opmask_reg __fpu_k3;
 struct __darwin_opmask_reg __fpu_k4;
 struct __darwin_opmask_reg __fpu_k5;
 struct __darwin_opmask_reg __fpu_k6;
 struct __darwin_opmask_reg __fpu_k7;
 struct __darwin_ymm_reg __fpu_zmmh0;
 struct __darwin_ymm_reg __fpu_zmmh1;
 struct __darwin_ymm_reg __fpu_zmmh2;
 struct __darwin_ymm_reg __fpu_zmmh3;
 struct __darwin_ymm_reg __fpu_zmmh4;
 struct __darwin_ymm_reg __fpu_zmmh5;
 struct __darwin_ymm_reg __fpu_zmmh6;
 struct __darwin_ymm_reg __fpu_zmmh7;
};
# 575 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_i386_exception_state
{
 __uint16_t __trapno;
 __uint16_t __cpu;
 __uint32_t __err;
 __uint32_t __faultvaddr;
};
# 595 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_x86_debug_state32
{
 unsigned int __dr0;
 unsigned int __dr1;
 unsigned int __dr2;
 unsigned int __dr3;
 unsigned int __dr4;
 unsigned int __dr5;
 unsigned int __dr6;
 unsigned int __dr7;
};
# 622 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __x86_pagein_state
{
 int __pagein_error;
};







struct __darwin_x86_thread_state64
{
 __uint64_t __rax;
 __uint64_t __rbx;
 __uint64_t __rcx;
 __uint64_t __rdx;
 __uint64_t __rdi;
 __uint64_t __rsi;
 __uint64_t __rbp;
 __uint64_t __rsp;
 __uint64_t __r8;
 __uint64_t __r9;
 __uint64_t __r10;
 __uint64_t __r11;
 __uint64_t __r12;
 __uint64_t __r13;
 __uint64_t __r14;
 __uint64_t __r15;
 __uint64_t __rip;
 __uint64_t __rflags;
 __uint64_t __cs;
 __uint64_t __fs;
 __uint64_t __gs;
};
# 691 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_x86_thread_full_state64
{
 struct __darwin_x86_thread_state64 __ss64;
 __uint64_t __ds;
 __uint64_t __es;
 __uint64_t __ss;
 __uint64_t __gsbase;
};
# 714 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_x86_float_state64
{
 int __fpu_reserved[2];
 struct __darwin_fp_control __fpu_fcw;
 struct __darwin_fp_status __fpu_fsw;
 __uint8_t __fpu_ftw;
 __uint8_t __fpu_rsrv1;
 __uint16_t __fpu_fop;


 __uint32_t __fpu_ip;
 __uint16_t __fpu_cs;

 __uint16_t __fpu_rsrv2;


 __uint32_t __fpu_dp;
 __uint16_t __fpu_ds;

 __uint16_t __fpu_rsrv3;
 __uint32_t __fpu_mxcsr;
 __uint32_t __fpu_mxcsrmask;
 struct __darwin_mmst_reg __fpu_stmm0;
 struct __darwin_mmst_reg __fpu_stmm1;
 struct __darwin_mmst_reg __fpu_stmm2;
 struct __darwin_mmst_reg __fpu_stmm3;
 struct __darwin_mmst_reg __fpu_stmm4;
 struct __darwin_mmst_reg __fpu_stmm5;
 struct __darwin_mmst_reg __fpu_stmm6;
 struct __darwin_mmst_reg __fpu_stmm7;
 struct __darwin_xmm_reg __fpu_xmm0;
 struct __darwin_xmm_reg __fpu_xmm1;
 struct __darwin_xmm_reg __fpu_xmm2;
 struct __darwin_xmm_reg __fpu_xmm3;
 struct __darwin_xmm_reg __fpu_xmm4;
 struct __darwin_xmm_reg __fpu_xmm5;
 struct __darwin_xmm_reg __fpu_xmm6;
 struct __darwin_xmm_reg __fpu_xmm7;
 struct __darwin_xmm_reg __fpu_xmm8;
 struct __darwin_xmm_reg __fpu_xmm9;
 struct __darwin_xmm_reg __fpu_xmm10;
 struct __darwin_xmm_reg __fpu_xmm11;
 struct __darwin_xmm_reg __fpu_xmm12;
 struct __darwin_xmm_reg __fpu_xmm13;
 struct __darwin_xmm_reg __fpu_xmm14;
 struct __darwin_xmm_reg __fpu_xmm15;
 char __fpu_rsrv4[6*16];
 int __fpu_reserved1;
};


struct __darwin_x86_avx_state64
{
 int __fpu_reserved[2];
 struct __darwin_fp_control __fpu_fcw;
 struct __darwin_fp_status __fpu_fsw;
 __uint8_t __fpu_ftw;
 __uint8_t __fpu_rsrv1;
 __uint16_t __fpu_fop;


 __uint32_t __fpu_ip;
 __uint16_t __fpu_cs;

 __uint16_t __fpu_rsrv2;


 __uint32_t __fpu_dp;
 __uint16_t __fpu_ds;

 __uint16_t __fpu_rsrv3;
 __uint32_t __fpu_mxcsr;
 __uint32_t __fpu_mxcsrmask;
 struct __darwin_mmst_reg __fpu_stmm0;
 struct __darwin_mmst_reg __fpu_stmm1;
 struct __darwin_mmst_reg __fpu_stmm2;
 struct __darwin_mmst_reg __fpu_stmm3;
 struct __darwin_mmst_reg __fpu_stmm4;
 struct __darwin_mmst_reg __fpu_stmm5;
 struct __darwin_mmst_reg __fpu_stmm6;
 struct __darwin_mmst_reg __fpu_stmm7;
 struct __darwin_xmm_reg __fpu_xmm0;
 struct __darwin_xmm_reg __fpu_xmm1;
 struct __darwin_xmm_reg __fpu_xmm2;
 struct __darwin_xmm_reg __fpu_xmm3;
 struct __darwin_xmm_reg __fpu_xmm4;
 struct __darwin_xmm_reg __fpu_xmm5;
 struct __darwin_xmm_reg __fpu_xmm6;
 struct __darwin_xmm_reg __fpu_xmm7;
 struct __darwin_xmm_reg __fpu_xmm8;
 struct __darwin_xmm_reg __fpu_xmm9;
 struct __darwin_xmm_reg __fpu_xmm10;
 struct __darwin_xmm_reg __fpu_xmm11;
 struct __darwin_xmm_reg __fpu_xmm12;
 struct __darwin_xmm_reg __fpu_xmm13;
 struct __darwin_xmm_reg __fpu_xmm14;
 struct __darwin_xmm_reg __fpu_xmm15;
 char __fpu_rsrv4[6*16];
 int __fpu_reserved1;
 char __avx_reserved1[64];
 struct __darwin_xmm_reg __fpu_ymmh0;
 struct __darwin_xmm_reg __fpu_ymmh1;
 struct __darwin_xmm_reg __fpu_ymmh2;
 struct __darwin_xmm_reg __fpu_ymmh3;
 struct __darwin_xmm_reg __fpu_ymmh4;
 struct __darwin_xmm_reg __fpu_ymmh5;
 struct __darwin_xmm_reg __fpu_ymmh6;
 struct __darwin_xmm_reg __fpu_ymmh7;
 struct __darwin_xmm_reg __fpu_ymmh8;
 struct __darwin_xmm_reg __fpu_ymmh9;
 struct __darwin_xmm_reg __fpu_ymmh10;
 struct __darwin_xmm_reg __fpu_ymmh11;
 struct __darwin_xmm_reg __fpu_ymmh12;
 struct __darwin_xmm_reg __fpu_ymmh13;
 struct __darwin_xmm_reg __fpu_ymmh14;
 struct __darwin_xmm_reg __fpu_ymmh15;
};


struct __darwin_x86_avx512_state64
{
 int __fpu_reserved[2];
 struct __darwin_fp_control __fpu_fcw;
 struct __darwin_fp_status __fpu_fsw;
 __uint8_t __fpu_ftw;
 __uint8_t __fpu_rsrv1;
 __uint16_t __fpu_fop;


 __uint32_t __fpu_ip;
 __uint16_t __fpu_cs;

 __uint16_t __fpu_rsrv2;


 __uint32_t __fpu_dp;
 __uint16_t __fpu_ds;

 __uint16_t __fpu_rsrv3;
 __uint32_t __fpu_mxcsr;
 __uint32_t __fpu_mxcsrmask;
 struct __darwin_mmst_reg __fpu_stmm0;
 struct __darwin_mmst_reg __fpu_stmm1;
 struct __darwin_mmst_reg __fpu_stmm2;
 struct __darwin_mmst_reg __fpu_stmm3;
 struct __darwin_mmst_reg __fpu_stmm4;
 struct __darwin_mmst_reg __fpu_stmm5;
 struct __darwin_mmst_reg __fpu_stmm6;
 struct __darwin_mmst_reg __fpu_stmm7;
 struct __darwin_xmm_reg __fpu_xmm0;
 struct __darwin_xmm_reg __fpu_xmm1;
 struct __darwin_xmm_reg __fpu_xmm2;
 struct __darwin_xmm_reg __fpu_xmm3;
 struct __darwin_xmm_reg __fpu_xmm4;
 struct __darwin_xmm_reg __fpu_xmm5;
 struct __darwin_xmm_reg __fpu_xmm6;
 struct __darwin_xmm_reg __fpu_xmm7;
 struct __darwin_xmm_reg __fpu_xmm8;
 struct __darwin_xmm_reg __fpu_xmm9;
 struct __darwin_xmm_reg __fpu_xmm10;
 struct __darwin_xmm_reg __fpu_xmm11;
 struct __darwin_xmm_reg __fpu_xmm12;
 struct __darwin_xmm_reg __fpu_xmm13;
 struct __darwin_xmm_reg __fpu_xmm14;
 struct __darwin_xmm_reg __fpu_xmm15;
 char __fpu_rsrv4[6*16];
 int __fpu_reserved1;
 char __avx_reserved1[64];
 struct __darwin_xmm_reg __fpu_ymmh0;
 struct __darwin_xmm_reg __fpu_ymmh1;
 struct __darwin_xmm_reg __fpu_ymmh2;
 struct __darwin_xmm_reg __fpu_ymmh3;
 struct __darwin_xmm_reg __fpu_ymmh4;
 struct __darwin_xmm_reg __fpu_ymmh5;
 struct __darwin_xmm_reg __fpu_ymmh6;
 struct __darwin_xmm_reg __fpu_ymmh7;
 struct __darwin_xmm_reg __fpu_ymmh8;
 struct __darwin_xmm_reg __fpu_ymmh9;
 struct __darwin_xmm_reg __fpu_ymmh10;
 struct __darwin_xmm_reg __fpu_ymmh11;
 struct __darwin_xmm_reg __fpu_ymmh12;
 struct __darwin_xmm_reg __fpu_ymmh13;
 struct __darwin_xmm_reg __fpu_ymmh14;
 struct __darwin_xmm_reg __fpu_ymmh15;
 struct __darwin_opmask_reg __fpu_k0;
 struct __darwin_opmask_reg __fpu_k1;
 struct __darwin_opmask_reg __fpu_k2;
 struct __darwin_opmask_reg __fpu_k3;
 struct __darwin_opmask_reg __fpu_k4;
 struct __darwin_opmask_reg __fpu_k5;
 struct __darwin_opmask_reg __fpu_k6;
 struct __darwin_opmask_reg __fpu_k7;
 struct __darwin_ymm_reg __fpu_zmmh0;
 struct __darwin_ymm_reg __fpu_zmmh1;
 struct __darwin_ymm_reg __fpu_zmmh2;
 struct __darwin_ymm_reg __fpu_zmmh3;
 struct __darwin_ymm_reg __fpu_zmmh4;
 struct __darwin_ymm_reg __fpu_zmmh5;
 struct __darwin_ymm_reg __fpu_zmmh6;
 struct __darwin_ymm_reg __fpu_zmmh7;
 struct __darwin_ymm_reg __fpu_zmmh8;
 struct __darwin_ymm_reg __fpu_zmmh9;
 struct __darwin_ymm_reg __fpu_zmmh10;
 struct __darwin_ymm_reg __fpu_zmmh11;
 struct __darwin_ymm_reg __fpu_zmmh12;
 struct __darwin_ymm_reg __fpu_zmmh13;
 struct __darwin_ymm_reg __fpu_zmmh14;
 struct __darwin_ymm_reg __fpu_zmmh15;
 struct __darwin_zmm_reg __fpu_zmm16;
 struct __darwin_zmm_reg __fpu_zmm17;
 struct __darwin_zmm_reg __fpu_zmm18;
 struct __darwin_zmm_reg __fpu_zmm19;
 struct __darwin_zmm_reg __fpu_zmm20;
 struct __darwin_zmm_reg __fpu_zmm21;
 struct __darwin_zmm_reg __fpu_zmm22;
 struct __darwin_zmm_reg __fpu_zmm23;
 struct __darwin_zmm_reg __fpu_zmm24;
 struct __darwin_zmm_reg __fpu_zmm25;
 struct __darwin_zmm_reg __fpu_zmm26;
 struct __darwin_zmm_reg __fpu_zmm27;
 struct __darwin_zmm_reg __fpu_zmm28;
 struct __darwin_zmm_reg __fpu_zmm29;
 struct __darwin_zmm_reg __fpu_zmm30;
 struct __darwin_zmm_reg __fpu_zmm31;
};
# 1172 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_x86_exception_state64
{
    __uint16_t __trapno;
    __uint16_t __cpu;
    __uint32_t __err;
    __uint64_t __faultvaddr;
};
# 1192 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_x86_debug_state64
{
 __uint64_t __dr0;
 __uint64_t __dr1;
 __uint64_t __dr2;
 __uint64_t __dr3;
 __uint64_t __dr4;
 __uint64_t __dr5;
 __uint64_t __dr6;
 __uint64_t __dr7;
};
# 1220 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/i386/_structs.h" 3 4
struct __darwin_x86_cpmu_state64
{
 __uint64_t __ctrs[16];
};
# 34 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/mach/machine/_structs.h" 2 3 4
# 35 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/_mcontext.h" 2 3 4




struct __darwin_mcontext32
{
 struct __darwin_i386_exception_state __es;
 struct __darwin_i386_thread_state __ss;
 struct __darwin_i386_float_state __fs;
};


struct __darwin_mcontext_avx32
{
 struct __darwin_i386_exception_state __es;
 struct __darwin_i386_thread_state __ss;
 struct __darwin_i386_avx_state __fs;
};



struct __darwin_mcontext_avx512_32
{
 struct __darwin_i386_exception_state __es;
 struct __darwin_i386_thread_state __ss;
 struct __darwin_i386_avx512_state __fs;
};
# 97 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/_mcontext.h" 3 4
struct __darwin_mcontext64
{
 struct __darwin_x86_exception_state64 __es;
 struct __darwin_x86_thread_state64 __ss;
 struct __darwin_x86_float_state64 __fs;
};


struct __darwin_mcontext64_full
{
 struct __darwin_x86_exception_state64 __es;
 struct __darwin_x86_thread_full_state64 __ss;
 struct __darwin_x86_float_state64 __fs;
};


struct __darwin_mcontext_avx64
{
 struct __darwin_x86_exception_state64 __es;
 struct __darwin_x86_thread_state64 __ss;
 struct __darwin_x86_avx_state64 __fs;
};


struct __darwin_mcontext_avx64_full
{
 struct __darwin_x86_exception_state64 __es;
 struct __darwin_x86_thread_full_state64 __ss;
 struct __darwin_x86_avx_state64 __fs;
};



struct __darwin_mcontext_avx512_64
{
 struct __darwin_x86_exception_state64 __es;
 struct __darwin_x86_thread_state64 __ss;
 struct __darwin_x86_avx512_state64 __fs;
};


struct __darwin_mcontext_avx512_64_full
{
 struct __darwin_x86_exception_state64 __es;
 struct __darwin_x86_thread_full_state64 __ss;
 struct __darwin_x86_avx512_state64 __fs;
};
# 204 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/_mcontext.h" 3 4
typedef struct __darwin_mcontext64 *mcontext_t;
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/_mcontext.h" 2 3 4
# 147 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 2 3 4

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_pthread/_pthread_attr_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_pthread/_pthread_attr_t.h" 3 4
typedef __darwin_pthread_attr_t pthread_attr_t;
# 149 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 2 3 4

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_sigaltstack.h" 1 3 4
# 42 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_sigaltstack.h" 3 4
struct __darwin_sigaltstack
{
 void *ss_sp;
 __darwin_size_t ss_size;
 int ss_flags;
};
typedef struct __darwin_sigaltstack stack_t;
# 151 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_ucontext.h" 1 3 4
# 39 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_ucontext.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/_mcontext.h" 1 3 4
# 40 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_ucontext.h" 2 3 4


struct __darwin_ucontext
{
 int uc_onstack;
 __darwin_sigset_t uc_sigmask;
 struct __darwin_sigaltstack uc_stack;
 struct __darwin_ucontext *uc_link;
 __darwin_size_t uc_mcsize;
 struct __darwin_mcontext64 *uc_mcontext;



};


typedef struct __darwin_ucontext ucontext_t;
# 152 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 2 3 4


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_sigset_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_sigset_t.h" 3 4
typedef __darwin_sigset_t sigset_t;
# 155 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 156 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_uid_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_uid_t.h" 3 4
typedef __darwin_uid_t uid_t;
# 157 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 2 3 4

union sigval {

 int sival_int;
 void *sival_ptr;
};





struct sigevent {
 int sigev_notify;
 int sigev_signo;
 union sigval sigev_value;
 void (*sigev_notify_function)(union sigval);
 pthread_attr_t *sigev_notify_attributes;
};


typedef struct __siginfo {
 int si_signo;
 int si_errno;
 int si_code;
 pid_t si_pid;
 uid_t si_uid;
 int si_status;
 void *si_addr;
 union sigval si_value;
 long si_band;
 unsigned long __pad[7];
} siginfo_t;
# 269 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 3 4
union __sigaction_u {
 void (*__sa_handler)(int);
 void (*__sa_sigaction)(int, struct __siginfo *,
     void *);
};


struct __sigaction {
 union __sigaction_u __sigaction_u;
 void (*sa_tramp)(void *, int, int, siginfo_t *, void *);
 sigset_t sa_mask;
 int sa_flags;
};




struct sigaction {
 union __sigaction_u __sigaction_u;
 sigset_t sa_mask;
 int sa_flags;
};
# 331 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 3 4
typedef void (*sig_t)(int);
# 348 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 3 4
struct sigvec {
 void (*sv_handler)(int);
 int sv_mask;
 int sv_flags;
};
# 367 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 3 4
struct sigstack {
 char *ss_sp;
 int ss_onstack;
};
# 389 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/signal.h" 3 4
extern "C" {
    void(*signal(int, void (*)(int)))(int);
}
# 110 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/resource.h" 1 3 4
# 80 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/resource.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_timeval.h" 1 3 4
# 34 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_timeval.h" 3 4
struct timeval
{
 __darwin_time_t tv_sec;
 __darwin_suseconds_t tv_usec;
};
# 81 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/resource.h" 2 3 4








typedef __uint64_t rlim_t;
# 152 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/resource.h" 3 4
struct rusage {
 struct timeval ru_utime;
 struct timeval ru_stime;
# 163 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/resource.h" 3 4
 long ru_maxrss;

 long ru_ixrss;
 long ru_idrss;
 long ru_isrss;
 long ru_minflt;
 long ru_majflt;
 long ru_nswap;
 long ru_inblock;
 long ru_oublock;
 long ru_msgsnd;
 long ru_msgrcv;
 long ru_nsignals;
 long ru_nvcsw;
 long ru_nivcsw;


};
# 193 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/resource.h" 3 4
typedef void *rusage_info_t;

struct rusage_info_v0 {
 uint8_t ri_uuid[16];
 uint64_t ri_user_time;
 uint64_t ri_system_time;
 uint64_t ri_pkg_idle_wkups;
 uint64_t ri_interrupt_wkups;
 uint64_t ri_pageins;
 uint64_t ri_wired_size;
 uint64_t ri_resident_size;
 uint64_t ri_phys_footprint;
 uint64_t ri_proc_start_abstime;
 uint64_t ri_proc_exit_abstime;
};

struct rusage_info_v1 {
 uint8_t ri_uuid[16];
 uint64_t ri_user_time;
 uint64_t ri_system_time;
 uint64_t ri_pkg_idle_wkups;
 uint64_t ri_interrupt_wkups;
 uint64_t ri_pageins;
 uint64_t ri_wired_size;
 uint64_t ri_resident_size;
 uint64_t ri_phys_footprint;
 uint64_t ri_proc_start_abstime;
 uint64_t ri_proc_exit_abstime;
 uint64_t ri_child_user_time;
 uint64_t ri_child_system_time;
 uint64_t ri_child_pkg_idle_wkups;
 uint64_t ri_child_interrupt_wkups;
 uint64_t ri_child_pageins;
 uint64_t ri_child_elapsed_abstime;
};

struct rusage_info_v2 {
 uint8_t ri_uuid[16];
 uint64_t ri_user_time;
 uint64_t ri_system_time;
 uint64_t ri_pkg_idle_wkups;
 uint64_t ri_interrupt_wkups;
 uint64_t ri_pageins;
 uint64_t ri_wired_size;
 uint64_t ri_resident_size;
 uint64_t ri_phys_footprint;
 uint64_t ri_proc_start_abstime;
 uint64_t ri_proc_exit_abstime;
 uint64_t ri_child_user_time;
 uint64_t ri_child_system_time;
 uint64_t ri_child_pkg_idle_wkups;
 uint64_t ri_child_interrupt_wkups;
 uint64_t ri_child_pageins;
 uint64_t ri_child_elapsed_abstime;
 uint64_t ri_diskio_bytesread;
 uint64_t ri_diskio_byteswritten;
};

struct rusage_info_v3 {
 uint8_t ri_uuid[16];
 uint64_t ri_user_time;
 uint64_t ri_system_time;
 uint64_t ri_pkg_idle_wkups;
 uint64_t ri_interrupt_wkups;
 uint64_t ri_pageins;
 uint64_t ri_wired_size;
 uint64_t ri_resident_size;
 uint64_t ri_phys_footprint;
 uint64_t ri_proc_start_abstime;
 uint64_t ri_proc_exit_abstime;
 uint64_t ri_child_user_time;
 uint64_t ri_child_system_time;
 uint64_t ri_child_pkg_idle_wkups;
 uint64_t ri_child_interrupt_wkups;
 uint64_t ri_child_pageins;
 uint64_t ri_child_elapsed_abstime;
 uint64_t ri_diskio_bytesread;
 uint64_t ri_diskio_byteswritten;
 uint64_t ri_cpu_time_qos_default;
 uint64_t ri_cpu_time_qos_maintenance;
 uint64_t ri_cpu_time_qos_background;
 uint64_t ri_cpu_time_qos_utility;
 uint64_t ri_cpu_time_qos_legacy;
 uint64_t ri_cpu_time_qos_user_initiated;
 uint64_t ri_cpu_time_qos_user_interactive;
 uint64_t ri_billed_system_time;
 uint64_t ri_serviced_system_time;
};

struct rusage_info_v4 {
 uint8_t ri_uuid[16];
 uint64_t ri_user_time;
 uint64_t ri_system_time;
 uint64_t ri_pkg_idle_wkups;
 uint64_t ri_interrupt_wkups;
 uint64_t ri_pageins;
 uint64_t ri_wired_size;
 uint64_t ri_resident_size;
 uint64_t ri_phys_footprint;
 uint64_t ri_proc_start_abstime;
 uint64_t ri_proc_exit_abstime;
 uint64_t ri_child_user_time;
 uint64_t ri_child_system_time;
 uint64_t ri_child_pkg_idle_wkups;
 uint64_t ri_child_interrupt_wkups;
 uint64_t ri_child_pageins;
 uint64_t ri_child_elapsed_abstime;
 uint64_t ri_diskio_bytesread;
 uint64_t ri_diskio_byteswritten;
 uint64_t ri_cpu_time_qos_default;
 uint64_t ri_cpu_time_qos_maintenance;
 uint64_t ri_cpu_time_qos_background;
 uint64_t ri_cpu_time_qos_utility;
 uint64_t ri_cpu_time_qos_legacy;
 uint64_t ri_cpu_time_qos_user_initiated;
 uint64_t ri_cpu_time_qos_user_interactive;
 uint64_t ri_billed_system_time;
 uint64_t ri_serviced_system_time;
 uint64_t ri_logical_writes;
 uint64_t ri_lifetime_max_phys_footprint;
 uint64_t ri_instructions;
 uint64_t ri_cycles;
 uint64_t ri_billed_energy;
 uint64_t ri_serviced_energy;
 uint64_t ri_interval_max_phys_footprint;
 uint64_t ri_runnable_time;
};

typedef struct rusage_info_v4 rusage_info_current;
# 365 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/resource.h" 3 4
struct rlimit {
 rlim_t rlim_cur;
 rlim_t rlim_max;
};
# 400 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/resource.h" 3 4
struct proc_rlimit_control_wakeupmon {
 uint32_t wm_flags;
 int32_t wm_rate;
};
# 440 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/resource.h" 3 4
extern "C" {
int getpriority(int, id_t);

int getiopolicy_np(int, int) __attribute__((availability(macosx,introduced=10.5)));

int getrlimit(int, struct rlimit *) __asm("_" "getrlimit" );
int getrusage(int, struct rusage *);
int setpriority(int, id_t, int);

int setiopolicy_np(int, int, int) __attribute__((availability(macosx,introduced=10.5)));

int setrlimit(int, const struct rlimit *) __asm("_" "setrlimit" );
}
# 111 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 2 3 4
# 186 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/endian.h" 1 3 4
# 35 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/endian.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/endian.h" 1 3 4
# 99 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/endian.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_endian.h" 1 3 4
# 130 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_endian.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/libkern/_OSByteOrder.h" 1 3 4
# 66 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/libkern/_OSByteOrder.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/libkern/i386/_OSByteOrder.h" 1 3 4
# 44 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/libkern/i386/_OSByteOrder.h" 3 4
static inline
__uint16_t
_OSSwapInt16(
 __uint16_t _data
 )
{
 return (__uint16_t)((_data << 8) | (_data >> 8));
}

static inline
__uint32_t
_OSSwapInt32(
 __uint32_t _data
 )
{

 return __builtin_bswap32(_data);




}


static inline
__uint64_t
_OSSwapInt64(
 __uint64_t _data
 )
{
 return __builtin_bswap64(_data);
}
# 67 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/libkern/_OSByteOrder.h" 2 3 4
# 131 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_endian.h" 2 3 4
# 100 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/endian.h" 2 3 4
# 36 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/endian.h" 2 3 4
# 187 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 2 3 4







union wait {
 int w_status;



 struct {

  unsigned int w_Termsig:7,
      w_Coredump:1,
      w_Retcode:8,
      w_Filler:16;







 } w_T;





 struct {

  unsigned int w_Stopval:8,
      w_Stopsig:8,
      w_Filler:16;






 } w_S;
};
# 247 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/wait.h" 3 4
extern "C" {
pid_t wait(int *) __asm("_" "wait" );
pid_t waitpid(pid_t, int *, int) __asm("_" "waitpid" );

int waitid(idtype_t, id_t, siginfo_t *, int) __asm("_" "waitid" );


pid_t wait3(int *, int, struct rusage *);
pid_t wait4(pid_t, int *, int, struct rusage *);

}
# 67 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/alloca.h" 1 3 4
# 29 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/alloca.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/alloca.h" 2 3 4

extern "C" {
void *alloca(size_t);
}
# 69 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4





# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 75 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_ct_rune_t.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_ct_rune_t.h" 3 4
typedef __darwin_ct_rune_t ct_rune_t;
# 78 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_rune_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_rune_t.h" 3 4
typedef __darwin_rune_t rune_t;
# 79 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_wchar_t.h" 1 3 4
# 82 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4

typedef struct {
 int quot;
 int rem;
} div_t;

typedef struct {
 long quot;
 long rem;
} ldiv_t;


typedef struct {
 long long quot;
 long long rem;
} lldiv_t;



# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_null.h" 1 3 4
# 101 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4
# 118 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 3 4
extern int __mb_cur_max;
# 128 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/malloc/_malloc.h" 1 3 4
# 36 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/malloc/_malloc.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 37 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/malloc/_malloc.h" 2 3 4

extern "C" {

void *malloc(size_t __size) __attribute__((__warn_unused_result__)) __attribute__((alloc_size(1)));
void *calloc(size_t __count, size_t __size) __attribute__((__warn_unused_result__)) __attribute__((alloc_size(1,2)));
void free(void *);
void *realloc(void *__ptr, size_t __size) __attribute__((__warn_unused_result__)) __attribute__((alloc_size(2)));

void *valloc(size_t) __attribute__((alloc_size(1)));




void *aligned_alloc(size_t __alignment, size_t __size) __attribute__((__warn_unused_result__)) __attribute__((alloc_size(2))) __attribute__((availability(macosx,introduced=10.15))) __attribute__((availability(ios,introduced=13.0))) __attribute__((availability(tvos,introduced=13.0))) __attribute__((availability(watchos,introduced=6.0)));

int posix_memalign(void **__memptr, size_t __alignment, size_t __size) __attribute__((availability(macosx,introduced=10.6)));

}
# 129 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4

extern "C" {
void abort(void) __attribute__((__cold__)) __attribute__((__noreturn__));
int abs(int) __attribute__((__const__));
int atexit(void (* _Nonnull)(void));
double atof(const char *);
int atoi(const char *);
long atol(const char *);

long long
  atoll(const char *);

void *bsearch(const void *__key, const void *__base, size_t __nel,
     size_t __width, int (* _Nonnull __compar)(const void *, const void *));

div_t div(int, int) __attribute__((__const__));
void exit(int) __attribute__((__noreturn__));

char *getenv(const char *);
long labs(long) __attribute__((__const__));
ldiv_t ldiv(long, long) __attribute__((__const__));

long long
  llabs(long long);
lldiv_t lldiv(long long, long long);


int mblen(const char *__s, size_t __n);
size_t mbstowcs(wchar_t * , const char * , size_t);
int mbtowc(wchar_t * , const char * , size_t);

void qsort(void *__base, size_t __nel, size_t __width,
     int (* _Nonnull __compar)(const void *, const void *));
int rand(void) __attribute__((__availability__(swift, unavailable, message="Use arc4random instead.")));

void srand(unsigned) __attribute__((__availability__(swift, unavailable, message="Use arc4random instead.")));
double strtod(const char *, char **) __asm("_" "strtod" );
float strtof(const char *, char **) __asm("_" "strtof" );
long strtol(const char *__str, char **__endptr, int __base);
long double
  strtold(const char *, char **);

long long
  strtoll(const char *__str, char **__endptr, int __base);

unsigned long
  strtoul(const char *__str, char **__endptr, int __base);

unsigned long long
  strtoull(const char *__str, char **__endptr, int __base);
# 187 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 3 4
__attribute__((__availability__(swift, unavailable, message="Use posix_spawn APIs or NSTask instead.")))
__attribute__((availability(macos,introduced=10.0))) __attribute__((availability(ios,unavailable)))
__attribute__((availability(watchos,unavailable))) __attribute__((availability(tvos,unavailable)))
int system(const char *) __asm("_" "system" );



size_t wcstombs(char * , const wchar_t * , size_t);
int wctomb(char *, wchar_t);


void _Exit(int) __attribute__((__noreturn__));
long a64l(const char *);
double drand48(void);
char *ecvt(double, int, int *, int *);
double erand48(unsigned short[3]);
char *fcvt(double, int, int *, int *);
char *gcvt(double, int, char *);
int getsubopt(char **, char * const *, char **);
int grantpt(int);

char *initstate(unsigned, char *, size_t);



long jrand48(unsigned short[3]) __attribute__((__availability__(swift, unavailable, message="Use arc4random instead.")));
char *l64a(long);
void lcong48(unsigned short[7]);
long lrand48(void) __attribute__((__availability__(swift, unavailable, message="Use arc4random instead.")));
char *mktemp(char *);
int mkstemp(char *);
long mrand48(void) __attribute__((__availability__(swift, unavailable, message="Use arc4random instead.")));
long nrand48(unsigned short[3]) __attribute__((__availability__(swift, unavailable, message="Use arc4random instead.")));
int posix_openpt(int);
char *ptsname(int);


int ptsname_r(int fildes, char *buffer, size_t buflen) __attribute__((availability(macos,introduced=10.13.4))) __attribute__((availability(ios,introduced=11.3))) __attribute__((availability(tvos,introduced=11.3))) __attribute__((availability(watchos,introduced=4.3)));


int putenv(char *) __asm("_" "putenv" );
long random(void) __attribute__((__availability__(swift, unavailable, message="Use arc4random instead.")));
int rand_r(unsigned *) __attribute__((__availability__(swift, unavailable, message="Use arc4random instead.")));

char *realpath(const char * , char * ) __asm("_" "realpath" "$DARWIN_EXTSN");



unsigned short
 *seed48(unsigned short[3]);
int setenv(const char * __name, const char * __value, int __overwrite) __asm("_" "setenv" );

void setkey(const char *) __asm("_" "setkey" );



char *setstate(const char *);
void srand48(long);

void srandom(unsigned);



int unlockpt(int);

int unsetenv(const char *) __asm("_" "unsetenv" );








# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_dev_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_dev_t.h" 3 4
typedef __darwin_dev_t dev_t;
# 261 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_mode_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_mode_t.h" 3 4
typedef __darwin_mode_t mode_t;
# 262 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 2 3 4


uint32_t arc4random(void);
void arc4random_addrandom(unsigned char * , int )
    __attribute__((availability(macosx,introduced=10.0))) __attribute__((availability(macosx,deprecated=10.12,message="use arc4random_stir")))
    __attribute__((availability(ios,introduced=2.0))) __attribute__((availability(ios,deprecated=10.0,message="use arc4random_stir")))
    __attribute__((availability(tvos,introduced=2.0))) __attribute__((availability(tvos,deprecated=10.0,message="use arc4random_stir")))
    __attribute__((availability(watchos,introduced=1.0))) __attribute__((availability(watchos,deprecated=3.0,message="use arc4random_stir")));
void arc4random_buf(void * __buf, size_t __nbytes) __attribute__((availability(macosx,introduced=10.7)));
void arc4random_stir(void);
uint32_t
  arc4random_uniform(uint32_t __upper_bound) __attribute__((availability(macosx,introduced=10.7)));

int atexit_b(void (^ _Nonnull)(void)) __attribute__((availability(macosx,introduced=10.6)));
void *bsearch_b(const void *__key, const void *__base, size_t __nel,
     size_t __width, int (^ _Nonnull __compar)(const void *, const void *)) __attribute__((availability(macosx,introduced=10.6)));



char *cgetcap(char *, const char *, int);
int cgetclose(void);
int cgetent(char **, char **, const char *);
int cgetfirst(char **, char **);
int cgetmatch(const char *, const char *);
int cgetnext(char **, char **);
int cgetnum(char *, const char *, long *);
int cgetset(const char *);
int cgetstr(char *, const char *, char **);
int cgetustr(char *, const char *, char **);

int daemon(int, int) __asm("_" "daemon" "$1050") __attribute__((availability(macosx,introduced=10.0,deprecated=10.5,message="Use posix_spawn APIs instead."))) __attribute__((availability(watchos,unavailable))) __attribute__((availability(tvos,unavailable)));
char *devname(dev_t, mode_t);
char *devname_r(dev_t, mode_t, char *buf, int len);
char *getbsize(int *, long *);
int getloadavg(double [], int);
const char
 *getprogname(void);
void setprogname(const char *);
# 309 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdlib.h" 3 4
int heapsort(void *__base, size_t __nel, size_t __width,
     int (* _Nonnull __compar)(const void *, const void *));

int heapsort_b(void *__base, size_t __nel, size_t __width,
     int (^ _Nonnull __compar)(const void *, const void *) __attribute__((__noescape__)))
     __attribute__((availability(macosx,introduced=10.6)));

int mergesort(void *__base, size_t __nel, size_t __width,
     int (* _Nonnull __compar)(const void *, const void *));

int mergesort_b(void *__base, size_t __nel, size_t __width,
     int (^ _Nonnull __compar)(const void *, const void *) __attribute__((__noescape__)))
     __attribute__((availability(macosx,introduced=10.6)));

void psort(void *__base, size_t __nel, size_t __width,
     int (* _Nonnull __compar)(const void *, const void *))
     __attribute__((availability(macosx,introduced=10.6)));

void psort_b(void *__base, size_t __nel, size_t __width,
     int (^ _Nonnull __compar)(const void *, const void *) __attribute__((__noescape__)))
     __attribute__((availability(macosx,introduced=10.6)));

void psort_r(void *__base, size_t __nel, size_t __width, void *,
     int (* _Nonnull __compar)(void *, const void *, const void *))
     __attribute__((availability(macosx,introduced=10.6)));

void qsort_b(void *__base, size_t __nel, size_t __width,
     int (^ _Nonnull __compar)(const void *, const void *) __attribute__((__noescape__)))
     __attribute__((availability(macosx,introduced=10.6)));

void qsort_r(void *__base, size_t __nel, size_t __width, void *,
     int (* _Nonnull __compar)(void *, const void *, const void *));
int radixsort(const unsigned char **__base, int __nel, const unsigned char *__table,
     unsigned __endbyte);
int rpmatch(const char *)
 __attribute__((availability(macos,introduced=10.15))) __attribute__((availability(ios,introduced=13.0))) __attribute__((availability(tvos,introduced=13.0))) __attribute__((availability(watchos,introduced=6.0)));
int sradixsort(const unsigned char **__base, int __nel, const unsigned char *__table,
     unsigned __endbyte);
void sranddev(void);
void srandomdev(void);
void *reallocf(void *__ptr, size_t __size) __attribute__((alloc_size(2)));

long long
  strtoq(const char *__str, char **__endptr, int __base);
unsigned long long
  strtouq(const char *__str, char **__endptr, int __base);

extern char *suboptarg;







}
# 95 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdlib.h" 2 3



extern "C++" {
# 111 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdlib.h" 3
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) long abs( long __x) noexcept {return labs(__x);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) long long abs(long long __x) noexcept {return llabs(__x);}


inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ldiv_t div( long __x, long __y) noexcept {return ldiv(__x, __y);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) lldiv_t div(long long __x, long long __y) noexcept {return lldiv(__x, __y);}



}
# 87 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdlib" 2 3
# 90 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdlib" 3








namespace std { inline namespace __1 {

using ::size_t;
using ::div_t;
using ::ldiv_t;

using ::lldiv_t;

using ::atof;
using ::atoi;
using ::atol;

using ::atoll;

using ::strtod;
using ::strtof;
using ::strtold;
using ::strtol;

using ::strtoll;

using ::strtoul;

using ::strtoull;




using ::rand;
using ::srand;
using ::calloc;
using ::free;
using ::malloc;
using ::realloc;



using ::abort;



using ::atexit;
using ::exit;
using ::_Exit;

using ::getenv;
using ::system;




using ::bsearch;
using ::qsort;
using ::abs;
using ::labs;

using ::llabs;

using ::div;
using ::ldiv;

using ::lldiv;

using ::mblen;
using ::mbtowc;
using ::wctomb;
using ::mbstowcs;
using ::wcstombs;
# 179 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cstdlib" 3
} }
# 83 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/exception" 2 3
# 92 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/exception" 3


namespace std
{


class __attribute__ ((__visibility__("default"))) exception
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) exception() noexcept {}
    virtual ~exception() noexcept;
    virtual const char* what() const noexcept;
};

class __attribute__ ((__visibility__("default"))) bad_exception
    : public exception
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) bad_exception() noexcept {}
    virtual ~bad_exception() noexcept;
    virtual const char* what() const noexcept;
};
# 125 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/exception" 3
typedef void (*terminate_handler)();
__attribute__ ((__visibility__("default"))) terminate_handler set_terminate(terminate_handler) noexcept;
__attribute__ ((__visibility__("default"))) terminate_handler get_terminate() noexcept;
[[noreturn]] __attribute__ ((__visibility__("default"))) void terminate() noexcept;

__attribute__ ((__visibility__("default"))) bool uncaught_exception() noexcept;
__attribute__ ((__visibility__("default"))) __attribute__((availability(macosx,strict,introduced=10.12))) __attribute__((availability(ios,strict,introduced=10.0))) __attribute__((availability(tvos,strict,introduced=10.0))) __attribute__((availability(watchos,strict,introduced=3.0))) int uncaught_exceptions() noexcept;

class __attribute__ ((__visibility__("default"))) exception_ptr;

__attribute__ ((__visibility__("default"))) exception_ptr current_exception() noexcept;
[[noreturn]] __attribute__ ((__visibility__("default"))) void rethrow_exception(exception_ptr);



class __attribute__ ((__visibility__("default"))) exception_ptr
{
    void* __ptr_;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) exception_ptr() noexcept : __ptr_() {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) exception_ptr(nullptr_t) noexcept : __ptr_() {}

    exception_ptr(const exception_ptr&) noexcept;
    exception_ptr& operator=(const exception_ptr&) noexcept;
    ~exception_ptr() noexcept;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit operator bool() const noexcept
    {return __ptr_ != nullptr;}

    friend __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator==(const exception_ptr& __x, const exception_ptr& __y) noexcept
        {return __x.__ptr_ == __y.__ptr_;}

    friend __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator!=(const exception_ptr& __x, const exception_ptr& __y) noexcept
        {return !(__x == __y);}

    friend __attribute__ ((__visibility__("default"))) exception_ptr current_exception() noexcept;
    friend __attribute__ ((__visibility__("default"))) void rethrow_exception(exception_ptr);
};

template<class _Ep>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) exception_ptr
make_exception_ptr(_Ep __e) noexcept
{

    try
    {
        throw __e;
    }
    catch (...)
    {
        return current_exception();
    }




}
# 235 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/exception" 3
class __attribute__ ((__visibility__("default"))) nested_exception
{
    exception_ptr __ptr_;
public:
    nested_exception() noexcept;


    virtual ~nested_exception() noexcept;


    [[noreturn]] void rethrow_nested() const;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) exception_ptr nested_ptr() const noexcept {return __ptr_;}
};

template <class _Tp>
struct __nested
    : public _Tp,
      public nested_exception
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit __nested(const _Tp& __t) : _Tp(__t) {}
};


template <class _Tp, class _Up, bool>
struct __throw_with_nested;

template <class _Tp, class _Up>
struct __throw_with_nested<_Tp, _Up, true> {
    [[noreturn]] static inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void

    __do_throw(_Tp&& __t)



    {
        throw __nested<_Up>(std::__1::forward<_Tp>(__t));
    }
};

template <class _Tp, class _Up>
struct __throw_with_nested<_Tp, _Up, false> {
    [[noreturn]] static inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void

    __do_throw(_Tp&& __t)



    {
        throw std::__1::forward<_Tp>(__t);
    }
};


template <class _Tp>
[[noreturn]]
void

throw_with_nested(_Tp&& __t)



{

    typedef typename decay<_Tp>::type _Up;
    static_assert( is_copy_constructible<_Up>::value, "type thrown must be CopyConstructible");
    __throw_with_nested<_Tp, _Up,
        is_class<_Up>::value &&
        !is_base_of<nested_exception, _Up>::value &&
        !__libcpp_is_final<_Up>::value>::
            __do_throw(std::__1::forward<_Tp>(__t));




}

template <class _From, class _To>
struct __can_dynamic_cast : public bool_constant<(is_polymorphic<_From>::value && (!is_base_of<_To, _From>::value || is_convertible<const _From*, const _To*>::value))> {};




template <class _Ep>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
rethrow_if_nested(const _Ep& __e,
                  typename enable_if< __can_dynamic_cast<_Ep, nested_exception>::value>::type* = 0)
{
    const nested_exception* __nep = dynamic_cast<const nested_exception*>(std::__1::addressof(__e));
    if (__nep)
        __nep->rethrow_nested();
}

template <class _Ep>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
rethrow_if_nested(const _Ep&,
                  typename enable_if<!__can_dynamic_cast<_Ep, nested_exception>::value>::type* = 0)
{
}

}
# 62 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/typeinfo" 2 3
# 70 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/typeinfo" 3
# 80 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/typeinfo" 3
namespace std
{

class __attribute__ ((__visibility__("default"))) type_info
{
    type_info& operator=(const type_info&);
    type_info(const type_info&);
# 103 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/typeinfo" 3
protected:
# 113 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/typeinfo" 3
    const char *__type_name;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit type_info(const char* __n) : __type_name(__n) {}



public:
    __attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
    virtual ~type_info();
# 179 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/typeinfo" 3
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    const char* name() const noexcept
    { return __type_name; }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool before(const type_info& __arg) const noexcept
    { return __type_name < __arg.__type_name; }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    size_t hash_code() const noexcept
    { return reinterpret_cast<size_t>(__type_name); }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator==(const type_info& __arg) const noexcept
    { return __type_name == __arg.__type_name; }



    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator!=(const type_info& __arg) const noexcept
    { return !operator==(__arg); }
};

class __attribute__ ((__visibility__("default"))) bad_cast
    : public exception
{
public:
    bad_cast() noexcept;
    virtual ~bad_cast() noexcept;
    virtual const char* what() const noexcept;
};

class __attribute__ ((__visibility__("default"))) bad_typeid
    : public exception
{
public:
    bad_typeid() noexcept;
    virtual ~bad_typeid() noexcept;
    virtual const char* what() const noexcept;
};

}



namespace std { inline namespace __1 {
[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_bad_cast()
{

    throw bad_cast();



}
} }
# 655 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 2 3


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/new" 1 3
# 84 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/new" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 85 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/new" 2 3
# 99 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/new" 3
# 120 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/new" 3
namespace std
{


struct __attribute__ ((__visibility__("default"))) nothrow_t {};
extern __attribute__ ((__visibility__("default"))) const nothrow_t nothrow;

class __attribute__ ((__visibility__("default"))) bad_alloc
    : public exception
{
public:
    bad_alloc() noexcept;
    virtual ~bad_alloc() noexcept;
    virtual const char* what() const noexcept;
};

class __attribute__ ((__visibility__("default"))) bad_array_new_length
    : public bad_alloc
{
public:
    bad_array_new_length() noexcept;
    virtual ~bad_array_new_length() noexcept;
    virtual const char* what() const noexcept;
};

typedef void (*new_handler)();
__attribute__ ((__visibility__("default"))) new_handler set_new_handler(new_handler) noexcept;
__attribute__ ((__visibility__("default"))) new_handler get_new_handler() noexcept;



[[noreturn]] __attribute__ ((__visibility__("default"))) void __throw_bad_alloc();




enum class __attribute__ ((__type_visibility__("default"))) align_val_t : size_t { };





}
# 172 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/new" 3
                              __attribute__ ((__visibility__("default"))) void* operator new(std::size_t __sz) ;
                              __attribute__ ((__visibility__("default"))) void* operator new(std::size_t __sz, const std::nothrow_t&) noexcept __attribute__((__malloc__));
__attribute__ ((__visibility__("default"))) void operator delete(void* __p) noexcept;
__attribute__ ((__visibility__("default"))) void operator delete(void* __p, const std::nothrow_t&) noexcept;

__attribute__ ((__visibility__("default"))) __attribute__((availability(macosx,strict,introduced=10.12))) __attribute__((availability(ios,strict,introduced=10.0))) __attribute__((availability(tvos,strict,introduced=10.0))) __attribute__((availability(watchos,strict,introduced=3.0))) void operator delete(void* __p, std::size_t __sz) noexcept;


                              __attribute__ ((__visibility__("default"))) void* operator new[](std::size_t __sz) ;
                              __attribute__ ((__visibility__("default"))) void* operator new[](std::size_t __sz, const std::nothrow_t&) noexcept __attribute__((__malloc__));
__attribute__ ((__visibility__("default"))) void operator delete[](void* __p) noexcept;
__attribute__ ((__visibility__("default"))) void operator delete[](void* __p, const std::nothrow_t&) noexcept;

__attribute__ ((__visibility__("default"))) __attribute__((availability(macosx,strict,introduced=10.12))) __attribute__((availability(ios,strict,introduced=10.0))) __attribute__((availability(tvos,strict,introduced=10.0))) __attribute__((availability(watchos,strict,introduced=3.0))) void operator delete[](void* __p, std::size_t __sz) noexcept;



                              __attribute__ ((__visibility__("default"))) void* operator new(std::size_t __sz, std::align_val_t) ;
                              __attribute__ ((__visibility__("default"))) void* operator new(std::size_t __sz, std::align_val_t, const std::nothrow_t&) noexcept __attribute__((__malloc__));
__attribute__ ((__visibility__("default"))) void operator delete(void* __p, std::align_val_t) noexcept;
__attribute__ ((__visibility__("default"))) void operator delete(void* __p, std::align_val_t, const std::nothrow_t&) noexcept;

__attribute__ ((__visibility__("default"))) __attribute__((availability(macosx,strict,introduced=10.12))) __attribute__((availability(ios,strict,introduced=10.0))) __attribute__((availability(tvos,strict,introduced=10.0))) __attribute__((availability(watchos,strict,introduced=3.0))) void operator delete(void* __p, std::size_t __sz, std::align_val_t) noexcept;


                              __attribute__ ((__visibility__("default"))) void* operator new[](std::size_t __sz, std::align_val_t) ;
                              __attribute__ ((__visibility__("default"))) void* operator new[](std::size_t __sz, std::align_val_t, const std::nothrow_t&) noexcept __attribute__((__malloc__));
__attribute__ ((__visibility__("default"))) void operator delete[](void* __p, std::align_val_t) noexcept;
__attribute__ ((__visibility__("default"))) void operator delete[](void* __p, std::align_val_t, const std::nothrow_t&) noexcept;

__attribute__ ((__visibility__("default"))) __attribute__((availability(macosx,strict,introduced=10.12))) __attribute__((availability(ios,strict,introduced=10.0))) __attribute__((availability(tvos,strict,introduced=10.0))) __attribute__((availability(watchos,strict,introduced=3.0))) void operator delete[](void* __p, std::size_t __sz, std::align_val_t) noexcept;



                              inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void* operator new (std::size_t, void* __p) noexcept {return __p;}
                              inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void* operator new[](std::size_t, void* __p) noexcept {return __p;}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void operator delete (void*, void*) noexcept {}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void operator delete[](void*, void*) noexcept {}



namespace std { inline namespace __1 {

constexpr inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) bool __is_overaligned_for_new(size_t __align) noexcept {

  return __align > 16UL;



}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void *__libcpp_allocate(size_t __size, size_t __align) {

  if (__is_overaligned_for_new(__align)) {
    const align_val_t __align_val = static_cast<align_val_t>(__align);



    return __builtin_operator_new(__size, __align_val);

  }






  return __builtin_operator_new(__size);

}

struct _DeallocateCaller {
  static inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  void __do_deallocate_handle_size_align(void *__ptr, size_t __size, size_t __align) {




    if (__is_overaligned_for_new(__align)) {
      const align_val_t __align_val = static_cast<align_val_t>(__align);
      return __do_deallocate_handle_size(__ptr, __size, __align_val);
    } else {
      return __do_deallocate_handle_size(__ptr, __size);
    }

  }

  static inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  void __do_deallocate_handle_align(void *__ptr, size_t __align) {




    if (__is_overaligned_for_new(__align)) {
      const align_val_t __align_val = static_cast<align_val_t>(__align);
      return __do_call(__ptr, __align_val);
    } else {
      return __do_call(__ptr);
    }

  }

 private:
  static inline void __do_deallocate_handle_size(void *__ptr, size_t __size) {

    ((void)__size);
    return __do_call(__ptr);



  }


  static inline void __do_deallocate_handle_size(void *__ptr, size_t __size, align_val_t __align) {

    ((void)__size);
    return __do_call(__ptr, __align);



  }


private:
  template <class _A1, class _A2>
  static inline void __do_call(void *__ptr, _A1 __a1, _A2 __a2) {




    return __builtin_operator_delete(__ptr, __a1, __a2);

  }

  template <class _A1>
  static inline void __do_call(void *__ptr, _A1 __a1) {




    return __builtin_operator_delete(__ptr, __a1);

  }

  static inline void __do_call(void *__ptr) {



    return __builtin_operator_delete(__ptr);

  }
};

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __libcpp_deallocate(void* __ptr, size_t __size, size_t __align) {
  _DeallocateCaller::__do_deallocate_handle_size_align(__ptr, __size, __align);
}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __libcpp_deallocate_unsized(void* __ptr, size_t __align) {
  _DeallocateCaller::__do_deallocate_handle_align(__ptr, __align);
}

template <class _Tp>
                              inline
constexpr _Tp* __launder(_Tp* __p) noexcept
{
    static_assert (!(is_function<_Tp>::value), "can't launder functions" );
    static_assert (!(is_same<void, typename remove_cv<_Tp>::type>::value), "can't launder cv-void" );

    return __builtin_launder(__p);



}



template <class _Tp>
                              inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _Tp* launder(_Tp* __p) noexcept
{
    return std::__1::__launder(__p);
}


} }
# 658 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 2 3

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits" 1 3
# 105 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 106 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits" 2 3
# 118 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits" 3



# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__undef_macros" 1 3
# 122 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits" 2 3



namespace std { inline namespace __1 {

enum float_round_style
{
    round_indeterminate = -1,
    round_toward_zero = 0,
    round_to_nearest = 1,
    round_toward_infinity = 2,
    round_toward_neg_infinity = 3
};

enum float_denorm_style
{
    denorm_indeterminate = -1,
    denorm_absent = 0,
    denorm_present = 1
};

template <class _Tp, bool = is_arithmetic<_Tp>::value>
class __libcpp_numeric_limits
{
protected:
    typedef _Tp type;

    static constexpr const bool is_specialized = false;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return type();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return type();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return type();}

    static constexpr const int digits = 0;
    static constexpr const int digits10 = 0;
    static constexpr const int max_digits10 = 0;
    static constexpr const bool is_signed = false;
    static constexpr const bool is_integer = false;
    static constexpr const bool is_exact = false;
    static constexpr const int radix = 0;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return type();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return type();}

    static constexpr const int min_exponent = 0;
    static constexpr const int min_exponent10 = 0;
    static constexpr const int max_exponent = 0;
    static constexpr const int max_exponent10 = 0;

    static constexpr const bool has_infinity = false;
    static constexpr const bool has_quiet_NaN = false;
    static constexpr const bool has_signaling_NaN = false;
    static constexpr const float_denorm_style has_denorm = denorm_absent;
    static constexpr const bool has_denorm_loss = false;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return type();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return type();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return type();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return type();}

    static constexpr const bool is_iec559 = false;
    static constexpr const bool is_bounded = false;
    static constexpr const bool is_modulo = false;

    static constexpr const bool traps = false;
    static constexpr const bool tinyness_before = false;
    static constexpr const float_round_style round_style = round_toward_zero;
};

template <class _Tp, int __digits, bool _IsSigned>
struct __libcpp_compute_min
{
    static constexpr const _Tp value = _Tp(_Tp(1) << __digits);
};

template <class _Tp, int __digits>
struct __libcpp_compute_min<_Tp, __digits, false>
{
    static constexpr const _Tp value = _Tp(0);
};

template <class _Tp>
class __libcpp_numeric_limits<_Tp, true>
{
protected:
    typedef _Tp type;

    static constexpr const bool is_specialized = true;

    static constexpr const bool is_signed = type(-1) < type(0);
    static constexpr const int digits = static_cast<int>(sizeof(type) * 8 - is_signed);
    static constexpr const int digits10 = digits * 3 / 10;
    static constexpr const int max_digits10 = 0;
    static constexpr const type __min = __libcpp_compute_min<type, digits, is_signed>::value;
    static constexpr const type __max = is_signed ? type(type(~0) ^ __min) : type(~0);
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return __min;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return __max;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return min();}

    static constexpr const bool is_integer = true;
    static constexpr const bool is_exact = true;
    static constexpr const int radix = 2;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return type(0);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return type(0);}

    static constexpr const int min_exponent = 0;
    static constexpr const int min_exponent10 = 0;
    static constexpr const int max_exponent = 0;
    static constexpr const int max_exponent10 = 0;

    static constexpr const bool has_infinity = false;
    static constexpr const bool has_quiet_NaN = false;
    static constexpr const bool has_signaling_NaN = false;
    static constexpr const float_denorm_style has_denorm = denorm_absent;
    static constexpr const bool has_denorm_loss = false;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return type(0);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return type(0);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return type(0);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return type(0);}

    static constexpr const bool is_iec559 = false;
    static constexpr const bool is_bounded = true;
    static constexpr const bool is_modulo = !std::__1::is_signed<_Tp>::value;



    static constexpr const bool traps = true;



    static constexpr const bool tinyness_before = false;
    static constexpr const float_round_style round_style = round_toward_zero;
};

template <>
class __libcpp_numeric_limits<bool, true>
{
protected:
    typedef bool type;

    static constexpr const bool is_specialized = true;

    static constexpr const bool is_signed = false;
    static constexpr const int digits = 1;
    static constexpr const int digits10 = 0;
    static constexpr const int max_digits10 = 0;
    static constexpr const type __min = false;
    static constexpr const type __max = true;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return __min;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return __max;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return min();}

    static constexpr const bool is_integer = true;
    static constexpr const bool is_exact = true;
    static constexpr const int radix = 2;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return type(0);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return type(0);}

    static constexpr const int min_exponent = 0;
    static constexpr const int min_exponent10 = 0;
    static constexpr const int max_exponent = 0;
    static constexpr const int max_exponent10 = 0;

    static constexpr const bool has_infinity = false;
    static constexpr const bool has_quiet_NaN = false;
    static constexpr const bool has_signaling_NaN = false;
    static constexpr const float_denorm_style has_denorm = denorm_absent;
    static constexpr const bool has_denorm_loss = false;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return type(0);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return type(0);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return type(0);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return type(0);}

    static constexpr const bool is_iec559 = false;
    static constexpr const bool is_bounded = true;
    static constexpr const bool is_modulo = false;

    static constexpr const bool traps = false;
    static constexpr const bool tinyness_before = false;
    static constexpr const float_round_style round_style = round_toward_zero;
};

template <>
class __libcpp_numeric_limits<float, true>
{
protected:
    typedef float type;

    static constexpr const bool is_specialized = true;

    static constexpr const bool is_signed = true;
    static constexpr const int digits = 24;
    static constexpr const int digits10 = 6;
    static constexpr const int max_digits10 = 2+(digits * 30103l)/100000l;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return 1.17549435e-38F;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return 3.40282347e+38F;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return -max();}

    static constexpr const bool is_integer = false;
    static constexpr const bool is_exact = false;
    static constexpr const int radix = 2;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return 1.19209290e-7F;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return 0.5F;}

    static constexpr const int min_exponent = (-125);
    static constexpr const int min_exponent10 = (-37);
    static constexpr const int max_exponent = 128;
    static constexpr const int max_exponent10 = 38;

    static constexpr const bool has_infinity = true;
    static constexpr const bool has_quiet_NaN = true;
    static constexpr const bool has_signaling_NaN = true;
    static constexpr const float_denorm_style has_denorm = denorm_present;
    static constexpr const bool has_denorm_loss = false;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return __builtin_huge_valf();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return __builtin_nanf("");}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return __builtin_nansf("");}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return 1.40129846e-45F;}

    static constexpr const bool is_iec559 = true;
    static constexpr const bool is_bounded = true;
    static constexpr const bool is_modulo = false;

    static constexpr const bool traps = false;
    static constexpr const bool tinyness_before = false;
    static constexpr const float_round_style round_style = round_to_nearest;
};

template <>
class __libcpp_numeric_limits<double, true>
{
protected:
    typedef double type;

    static constexpr const bool is_specialized = true;

    static constexpr const bool is_signed = true;
    static constexpr const int digits = 53;
    static constexpr const int digits10 = 15;
    static constexpr const int max_digits10 = 2+(digits * 30103l)/100000l;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return 2.2250738585072014e-308;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return 1.7976931348623157e+308;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return -max();}

    static constexpr const bool is_integer = false;
    static constexpr const bool is_exact = false;
    static constexpr const int radix = 2;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return 2.2204460492503131e-16;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return 0.5;}

    static constexpr const int min_exponent = (-1021);
    static constexpr const int min_exponent10 = (-307);
    static constexpr const int max_exponent = 1024;
    static constexpr const int max_exponent10 = 308;

    static constexpr const bool has_infinity = true;
    static constexpr const bool has_quiet_NaN = true;
    static constexpr const bool has_signaling_NaN = true;
    static constexpr const float_denorm_style has_denorm = denorm_present;
    static constexpr const bool has_denorm_loss = false;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return __builtin_huge_val();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return __builtin_nan("");}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return __builtin_nans("");}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return 4.9406564584124654e-324;}

    static constexpr const bool is_iec559 = true;
    static constexpr const bool is_bounded = true;
    static constexpr const bool is_modulo = false;

    static constexpr const bool traps = false;
    static constexpr const bool tinyness_before = false;
    static constexpr const float_round_style round_style = round_to_nearest;
};

template <>
class __libcpp_numeric_limits<long double, true>
{
protected:
    typedef long double type;

    static constexpr const bool is_specialized = true;

    static constexpr const bool is_signed = true;
    static constexpr const int digits = 64;
    static constexpr const int digits10 = 18;
    static constexpr const int max_digits10 = 2+(digits * 30103l)/100000l;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return 3.36210314311209350626e-4932L;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return 1.18973149535723176502e+4932L;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return -max();}

    static constexpr const bool is_integer = false;
    static constexpr const bool is_exact = false;
    static constexpr const int radix = 2;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return 1.08420217248550443401e-19L;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return 0.5;}

    static constexpr const int min_exponent = (-16381);
    static constexpr const int min_exponent10 = (-4931);
    static constexpr const int max_exponent = 16384;
    static constexpr const int max_exponent10 = 4932;

    static constexpr const bool has_infinity = true;
    static constexpr const bool has_quiet_NaN = true;
    static constexpr const bool has_signaling_NaN = true;
    static constexpr const float_denorm_style has_denorm = denorm_present;
    static constexpr const bool has_denorm_loss = false;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return __builtin_huge_vall();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return __builtin_nanl("");}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return __builtin_nansl("");}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return 3.64519953188247460253e-4951L;}




    static constexpr const bool is_iec559 = true;

    static constexpr const bool is_bounded = true;
    static constexpr const bool is_modulo = false;

    static constexpr const bool traps = false;
    static constexpr const bool tinyness_before = false;
    static constexpr const float_round_style round_style = round_to_nearest;
};

template <class _Tp>
class __attribute__ ((__type_visibility__("default"))) numeric_limits
    : private __libcpp_numeric_limits<typename remove_cv<_Tp>::type>
{
    typedef __libcpp_numeric_limits<typename remove_cv<_Tp>::type> __base;
    typedef typename __base::type type;
public:
    static constexpr const bool is_specialized = __base::is_specialized;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return __base::min();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return __base::max();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return __base::lowest();}

    static constexpr const int digits = __base::digits;
    static constexpr const int digits10 = __base::digits10;
    static constexpr const int max_digits10 = __base::max_digits10;
    static constexpr const bool is_signed = __base::is_signed;
    static constexpr const bool is_integer = __base::is_integer;
    static constexpr const bool is_exact = __base::is_exact;
    static constexpr const int radix = __base::radix;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return __base::epsilon();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return __base::round_error();}

    static constexpr const int min_exponent = __base::min_exponent;
    static constexpr const int min_exponent10 = __base::min_exponent10;
    static constexpr const int max_exponent = __base::max_exponent;
    static constexpr const int max_exponent10 = __base::max_exponent10;

    static constexpr const bool has_infinity = __base::has_infinity;
    static constexpr const bool has_quiet_NaN = __base::has_quiet_NaN;
    static constexpr const bool has_signaling_NaN = __base::has_signaling_NaN;
    static constexpr const float_denorm_style has_denorm = __base::has_denorm;
    static constexpr const bool has_denorm_loss = __base::has_denorm_loss;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return __base::infinity();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return __base::quiet_NaN();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return __base::signaling_NaN();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return __base::denorm_min();}

    static constexpr const bool is_iec559 = __base::is_iec559;
    static constexpr const bool is_bounded = __base::is_bounded;
    static constexpr const bool is_modulo = __base::is_modulo;

    static constexpr const bool traps = __base::traps;
    static constexpr const bool tinyness_before = __base::tinyness_before;
    static constexpr const float_round_style round_style = __base::round_style;
};

template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::is_specialized;
template <class _Tp>
    constexpr const int numeric_limits<_Tp>::digits;
template <class _Tp>
    constexpr const int numeric_limits<_Tp>::digits10;
template <class _Tp>
    constexpr const int numeric_limits<_Tp>::max_digits10;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::is_signed;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::is_integer;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::is_exact;
template <class _Tp>
    constexpr const int numeric_limits<_Tp>::radix;
template <class _Tp>
    constexpr const int numeric_limits<_Tp>::min_exponent;
template <class _Tp>
    constexpr const int numeric_limits<_Tp>::min_exponent10;
template <class _Tp>
    constexpr const int numeric_limits<_Tp>::max_exponent;
template <class _Tp>
    constexpr const int numeric_limits<_Tp>::max_exponent10;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::has_infinity;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::has_quiet_NaN;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::has_signaling_NaN;
template <class _Tp>
    constexpr const float_denorm_style numeric_limits<_Tp>::has_denorm;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::has_denorm_loss;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::is_iec559;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::is_bounded;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::is_modulo;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::traps;
template <class _Tp>
    constexpr const bool numeric_limits<_Tp>::tinyness_before;
template <class _Tp>
    constexpr const float_round_style numeric_limits<_Tp>::round_style;

template <class _Tp>
class __attribute__ ((__type_visibility__("default"))) numeric_limits<const _Tp>
    : private numeric_limits<_Tp>
{
    typedef numeric_limits<_Tp> __base;
    typedef _Tp type;
public:
    static constexpr const bool is_specialized = __base::is_specialized;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return __base::min();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return __base::max();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return __base::lowest();}

    static constexpr const int digits = __base::digits;
    static constexpr const int digits10 = __base::digits10;
    static constexpr const int max_digits10 = __base::max_digits10;
    static constexpr const bool is_signed = __base::is_signed;
    static constexpr const bool is_integer = __base::is_integer;
    static constexpr const bool is_exact = __base::is_exact;
    static constexpr const int radix = __base::radix;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return __base::epsilon();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return __base::round_error();}

    static constexpr const int min_exponent = __base::min_exponent;
    static constexpr const int min_exponent10 = __base::min_exponent10;
    static constexpr const int max_exponent = __base::max_exponent;
    static constexpr const int max_exponent10 = __base::max_exponent10;

    static constexpr const bool has_infinity = __base::has_infinity;
    static constexpr const bool has_quiet_NaN = __base::has_quiet_NaN;
    static constexpr const bool has_signaling_NaN = __base::has_signaling_NaN;
    static constexpr const float_denorm_style has_denorm = __base::has_denorm;
    static constexpr const bool has_denorm_loss = __base::has_denorm_loss;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return __base::infinity();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return __base::quiet_NaN();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return __base::signaling_NaN();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return __base::denorm_min();}

    static constexpr const bool is_iec559 = __base::is_iec559;
    static constexpr const bool is_bounded = __base::is_bounded;
    static constexpr const bool is_modulo = __base::is_modulo;

    static constexpr const bool traps = __base::traps;
    static constexpr const bool tinyness_before = __base::tinyness_before;
    static constexpr const float_round_style round_style = __base::round_style;
};

template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::is_specialized;
template <class _Tp>
    constexpr const int numeric_limits<const _Tp>::digits;
template <class _Tp>
    constexpr const int numeric_limits<const _Tp>::digits10;
template <class _Tp>
    constexpr const int numeric_limits<const _Tp>::max_digits10;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::is_signed;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::is_integer;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::is_exact;
template <class _Tp>
    constexpr const int numeric_limits<const _Tp>::radix;
template <class _Tp>
    constexpr const int numeric_limits<const _Tp>::min_exponent;
template <class _Tp>
    constexpr const int numeric_limits<const _Tp>::min_exponent10;
template <class _Tp>
    constexpr const int numeric_limits<const _Tp>::max_exponent;
template <class _Tp>
    constexpr const int numeric_limits<const _Tp>::max_exponent10;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::has_infinity;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::has_quiet_NaN;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::has_signaling_NaN;
template <class _Tp>
    constexpr const float_denorm_style numeric_limits<const _Tp>::has_denorm;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::has_denorm_loss;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::is_iec559;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::is_bounded;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::is_modulo;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::traps;
template <class _Tp>
    constexpr const bool numeric_limits<const _Tp>::tinyness_before;
template <class _Tp>
    constexpr const float_round_style numeric_limits<const _Tp>::round_style;

template <class _Tp>
class __attribute__ ((__type_visibility__("default"))) numeric_limits<volatile _Tp>
    : private numeric_limits<_Tp>
{
    typedef numeric_limits<_Tp> __base;
    typedef _Tp type;
public:
    static constexpr const bool is_specialized = __base::is_specialized;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return __base::min();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return __base::max();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return __base::lowest();}

    static constexpr const int digits = __base::digits;
    static constexpr const int digits10 = __base::digits10;
    static constexpr const int max_digits10 = __base::max_digits10;
    static constexpr const bool is_signed = __base::is_signed;
    static constexpr const bool is_integer = __base::is_integer;
    static constexpr const bool is_exact = __base::is_exact;
    static constexpr const int radix = __base::radix;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return __base::epsilon();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return __base::round_error();}

    static constexpr const int min_exponent = __base::min_exponent;
    static constexpr const int min_exponent10 = __base::min_exponent10;
    static constexpr const int max_exponent = __base::max_exponent;
    static constexpr const int max_exponent10 = __base::max_exponent10;

    static constexpr const bool has_infinity = __base::has_infinity;
    static constexpr const bool has_quiet_NaN = __base::has_quiet_NaN;
    static constexpr const bool has_signaling_NaN = __base::has_signaling_NaN;
    static constexpr const float_denorm_style has_denorm = __base::has_denorm;
    static constexpr const bool has_denorm_loss = __base::has_denorm_loss;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return __base::infinity();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return __base::quiet_NaN();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return __base::signaling_NaN();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return __base::denorm_min();}

    static constexpr const bool is_iec559 = __base::is_iec559;
    static constexpr const bool is_bounded = __base::is_bounded;
    static constexpr const bool is_modulo = __base::is_modulo;

    static constexpr const bool traps = __base::traps;
    static constexpr const bool tinyness_before = __base::tinyness_before;
    static constexpr const float_round_style round_style = __base::round_style;
};

template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::is_specialized;
template <class _Tp>
    constexpr const int numeric_limits<volatile _Tp>::digits;
template <class _Tp>
    constexpr const int numeric_limits<volatile _Tp>::digits10;
template <class _Tp>
    constexpr const int numeric_limits<volatile _Tp>::max_digits10;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::is_signed;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::is_integer;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::is_exact;
template <class _Tp>
    constexpr const int numeric_limits<volatile _Tp>::radix;
template <class _Tp>
    constexpr const int numeric_limits<volatile _Tp>::min_exponent;
template <class _Tp>
    constexpr const int numeric_limits<volatile _Tp>::min_exponent10;
template <class _Tp>
    constexpr const int numeric_limits<volatile _Tp>::max_exponent;
template <class _Tp>
    constexpr const int numeric_limits<volatile _Tp>::max_exponent10;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::has_infinity;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::has_quiet_NaN;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::has_signaling_NaN;
template <class _Tp>
    constexpr const float_denorm_style numeric_limits<volatile _Tp>::has_denorm;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::has_denorm_loss;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::is_iec559;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::is_bounded;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::is_modulo;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::traps;
template <class _Tp>
    constexpr const bool numeric_limits<volatile _Tp>::tinyness_before;
template <class _Tp>
    constexpr const float_round_style numeric_limits<volatile _Tp>::round_style;

template <class _Tp>
class __attribute__ ((__type_visibility__("default"))) numeric_limits<const volatile _Tp>
    : private numeric_limits<_Tp>
{
    typedef numeric_limits<_Tp> __base;
    typedef _Tp type;
public:
    static constexpr const bool is_specialized = __base::is_specialized;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type min() noexcept {return __base::min();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type max() noexcept {return __base::max();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type lowest() noexcept {return __base::lowest();}

    static constexpr const int digits = __base::digits;
    static constexpr const int digits10 = __base::digits10;
    static constexpr const int max_digits10 = __base::max_digits10;
    static constexpr const bool is_signed = __base::is_signed;
    static constexpr const bool is_integer = __base::is_integer;
    static constexpr const bool is_exact = __base::is_exact;
    static constexpr const int radix = __base::radix;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type epsilon() noexcept {return __base::epsilon();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type round_error() noexcept {return __base::round_error();}

    static constexpr const int min_exponent = __base::min_exponent;
    static constexpr const int min_exponent10 = __base::min_exponent10;
    static constexpr const int max_exponent = __base::max_exponent;
    static constexpr const int max_exponent10 = __base::max_exponent10;

    static constexpr const bool has_infinity = __base::has_infinity;
    static constexpr const bool has_quiet_NaN = __base::has_quiet_NaN;
    static constexpr const bool has_signaling_NaN = __base::has_signaling_NaN;
    static constexpr const float_denorm_style has_denorm = __base::has_denorm;
    static constexpr const bool has_denorm_loss = __base::has_denorm_loss;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type infinity() noexcept {return __base::infinity();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type quiet_NaN() noexcept {return __base::quiet_NaN();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type signaling_NaN() noexcept {return __base::signaling_NaN();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr type denorm_min() noexcept {return __base::denorm_min();}

    static constexpr const bool is_iec559 = __base::is_iec559;
    static constexpr const bool is_bounded = __base::is_bounded;
    static constexpr const bool is_modulo = __base::is_modulo;

    static constexpr const bool traps = __base::traps;
    static constexpr const bool tinyness_before = __base::tinyness_before;
    static constexpr const float_round_style round_style = __base::round_style;
};

template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::is_specialized;
template <class _Tp>
    constexpr const int numeric_limits<const volatile _Tp>::digits;
template <class _Tp>
    constexpr const int numeric_limits<const volatile _Tp>::digits10;
template <class _Tp>
    constexpr const int numeric_limits<const volatile _Tp>::max_digits10;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::is_signed;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::is_integer;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::is_exact;
template <class _Tp>
    constexpr const int numeric_limits<const volatile _Tp>::radix;
template <class _Tp>
    constexpr const int numeric_limits<const volatile _Tp>::min_exponent;
template <class _Tp>
    constexpr const int numeric_limits<const volatile _Tp>::min_exponent10;
template <class _Tp>
    constexpr const int numeric_limits<const volatile _Tp>::max_exponent;
template <class _Tp>
    constexpr const int numeric_limits<const volatile _Tp>::max_exponent10;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::has_infinity;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::has_quiet_NaN;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::has_signaling_NaN;
template <class _Tp>
    constexpr const float_denorm_style numeric_limits<const volatile _Tp>::has_denorm;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::has_denorm_loss;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::is_iec559;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::is_bounded;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::is_modulo;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::traps;
template <class _Tp>
    constexpr const bool numeric_limits<const volatile _Tp>::tinyness_before;
template <class _Tp>
    constexpr const float_round_style numeric_limits<const volatile _Tp>::round_style;

} }
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# 113 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/wchar.h" 3






# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 1 3 4
# 74 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_null.h" 1 3 4
# 75 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 76 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_mbstate_t.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_mbstate_t.h" 3 4
typedef __darwin_mbstate_t mbstate_t;
# 77 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 2 3 4


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_wchar_t.h" 1 3 4
# 80 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 2 3 4
# 89 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/stdarg.h" 1 3 4
# 30 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/stdarg.h" 3 4
typedef __builtin_va_list va_list;
# 48 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 90 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdio.h" 1 3 4
# 102 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdio.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3 4
# 103 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdio.h" 2 3 4
# 106 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdio.h" 3


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 1 3 4
# 64 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_stdio.h" 1 3 4
# 75 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_stdio.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_va_list.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_va_list.h" 3 4
typedef __darwin_va_list va_list;
# 76 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_stdio.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 77 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_stdio.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_null.h" 1 3 4
# 78 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_stdio.h" 2 3 4

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/stdio.h" 1 3 4
# 37 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/stdio.h" 3 4
extern "C" {

int renameat(int, const char *, int, const char *) __attribute__((availability(macosx,introduced=10.10)));






int renamex_np(const char *, const char *, unsigned int) __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0)));
int renameatx_np(int, const char *, int, const char *, unsigned int) __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0)));



}
# 80 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_stdio.h" 2 3 4

typedef __darwin_off_t fpos_t;
# 92 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_stdio.h" 3 4
struct __sbuf {
 unsigned char *_base;
 int _size;
};


struct __sFILEX;
# 126 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_stdio.h" 3 4
typedef struct __sFILE {
 unsigned char *_p;
 int _r;
 int _w;
 short _flags;
 short _file;
 struct __sbuf _bf;
 int _lbfsize;


 void *_cookie;
 int (* _Nullable _close)(void *);
 int (* _Nullable _read) (void *, char *, int);
 fpos_t (* _Nullable _seek) (void *, fpos_t, int);
 int (* _Nullable _write)(void *, const char *, int);


 struct __sbuf _ub;
 struct __sFILEX *_extra;
 int _ur;


 unsigned char _ubuf[3];
 unsigned char _nbuf[1];


 struct __sbuf _lb;


 int _blksize;
 fpos_t _offset;
} FILE;
# 65 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 2 3 4

extern "C" {
extern FILE *__stdinp;
extern FILE *__stdoutp;
extern FILE *__stderrp;
}
# 141 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 3 4
extern "C" {
void clearerr(FILE *);
int fclose(FILE *);
int feof(FILE *);
int ferror(FILE *);
int fflush(FILE *);
int fgetc(FILE *);
int fgetpos(FILE * , fpos_t *);
char *fgets(char * , int, FILE *);



FILE *fopen(const char * __filename, const char * __mode) __asm("_" "fopen" );

int fprintf(FILE * , const char * , ...) __attribute__((__format__ (__printf__, 2, 3)));
int fputc(int, FILE *);
int fputs(const char * , FILE * ) __asm("_" "fputs" );
size_t fread(void * __ptr, size_t __size, size_t __nitems, FILE * __stream);
FILE *freopen(const char * , const char * ,
                 FILE * ) __asm("_" "freopen" );
int fscanf(FILE * , const char * , ...) __attribute__((__format__ (__scanf__, 2, 3)));
int fseek(FILE *, long, int);
int fsetpos(FILE *, const fpos_t *);
long ftell(FILE *);
size_t fwrite(const void * __ptr, size_t __size, size_t __nitems, FILE * __stream) __asm("_" "fwrite" );
int getc(FILE *);
int getchar(void);
char *gets(char *);
void perror(const char *) __attribute__((__cold__));
int printf(const char * , ...) __attribute__((__format__ (__printf__, 1, 2)));
int putc(int, FILE *);
int putchar(int);
int puts(const char *);
int remove(const char *);
int rename (const char *__old, const char *__new);
void rewind(FILE *);
int scanf(const char * , ...) __attribute__((__format__ (__scanf__, 1, 2)));
void setbuf(FILE * , char * );
int setvbuf(FILE * , char * , int, size_t);
int sprintf(char * , const char * , ...) __attribute__((__format__ (__printf__, 2, 3))) __attribute__((__availability__(swift, unavailable, message="Use snprintf instead.")));
int sscanf(const char * , const char * , ...) __attribute__((__format__ (__scanf__, 2, 3)));
FILE *tmpfile(void);

__attribute__((__availability__(swift, unavailable, message="Use mkstemp(3) instead.")))

__attribute__((__deprecated__("This function is provided for compatibility reasons only.  Due to security concerns inherent in the design of tmpnam(3), it is highly recommended that you use mkstemp(3) instead.")))

char *tmpnam(char *);
int ungetc(int, FILE *);
int vfprintf(FILE * , const char * , va_list) __attribute__((__format__ (__printf__, 2, 0)));
int vprintf(const char * , va_list) __attribute__((__format__ (__printf__, 1, 0)));
int vsprintf(char * , const char * , va_list) __attribute__((__format__ (__printf__, 2, 0))) __attribute__((__availability__(swift, unavailable, message="Use vsnprintf instead.")));
}
# 204 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 3 4
extern "C" {

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_ctermid.h" 1 3 4
# 26 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_ctermid.h" 3 4
char *ctermid(char *);
# 206 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 2 3 4




FILE *fdopen(int, const char *) __asm("_" "fdopen" );

int fileno(FILE *);
}
# 227 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 3 4
extern "C" {
int pclose(FILE *) __attribute__((__availability__(swift, unavailable, message="Use posix_spawn APIs or NSTask instead.")));



FILE *popen(const char *, const char *) __asm("_" "popen" ) __attribute__((__availability__(swift, unavailable, message="Use posix_spawn APIs or NSTask instead.")));

}
# 248 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 3 4
extern "C" {
int __srget(FILE *);
int __svfscanf(FILE *, const char *, va_list) __attribute__((__format__ (__scanf__, 2, 0)));
int __swbuf(int, FILE *);
}







inline __attribute__ ((__always_inline__)) int __sputc(int _c, FILE *_p) {
 if (--_p->_w >= 0 || (_p->_w >= _p->_lbfsize && (char)_c != '\n'))
  return (*_p->_p++ = _c);
 else
  return (__swbuf(_c, _p));
}
# 285 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 3 4
extern "C" {
void flockfile(FILE *);
int ftrylockfile(FILE *);
void funlockfile(FILE *);
int getc_unlocked(FILE *);
int getchar_unlocked(void);
int putc_unlocked(int, FILE *);
int putchar_unlocked(int);



int getw(FILE *);
int putw(int, FILE *);


__attribute__((__availability__(swift, unavailable, message="Use mkstemp(3) instead.")))

__attribute__((__deprecated__("This function is provided for compatibility reasons only.  Due to security concerns inherent in the design of tempnam(3), it is highly recommended that you use mkstemp(3) instead.")))

char *tempnam(const char *__dir, const char *__prefix) __asm("_" "tempnam" );
}
# 324 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_off_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_off_t.h" 3 4
typedef __darwin_off_t off_t;
# 325 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 2 3 4

extern "C" {
int fseeko(FILE * __stream, off_t __offset, int __whence);
off_t ftello(FILE * __stream);
}



extern "C" {
int snprintf(char * __str, size_t __size, const char * __format, ...) __attribute__((__format__ (__printf__, 3, 4)));
int vfscanf(FILE * __stream, const char * __format, va_list) __attribute__((__format__ (__scanf__, 2, 0)));
int vscanf(const char * __format, va_list) __attribute__((__format__ (__scanf__, 1, 0)));
int vsnprintf(char * __str, size_t __size, const char * __format, va_list) __attribute__((__format__ (__printf__, 3, 0)));
int vsscanf(const char * __str, const char * __format, va_list) __attribute__((__format__ (__scanf__, 2, 0)));
}
# 351 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/stdio.h" 3 4
extern "C" {
int dprintf(int, const char * , ...) __attribute__((__format__ (__printf__, 2, 3))) __attribute__((availability(macosx,introduced=10.7)));
int vdprintf(int, const char * , va_list) __attribute__((__format__ (__printf__, 2, 0))) __attribute__((availability(macosx,introduced=10.7)));
ssize_t getdelim(char ** __linep, size_t * __linecapp, int __delimiter, FILE * __stream) __attribute__((availability(macosx,introduced=10.7)));
ssize_t getline(char ** __linep, size_t * __linecapp, FILE * __stream) __attribute__((availability(macosx,introduced=10.7)));
FILE *fmemopen(void * __buf, size_t __size, const char * __mode) __attribute__((availability(macos,introduced=10.13))) __attribute__((availability(ios,introduced=11.0))) __attribute__((availability(tvos,introduced=11.0))) __attribute__((availability(watchos,introduced=4.0)));
FILE *open_memstream(char **__bufp, size_t *__sizep) __attribute__((availability(macos,introduced=10.13))) __attribute__((availability(ios,introduced=11.0))) __attribute__((availability(tvos,introduced=11.0))) __attribute__((availability(watchos,introduced=4.0)));
}







extern "C" {
extern const int sys_nerr;
extern const char *const sys_errlist[];

int asprintf(char ** , const char * , ...) __attribute__((__format__ (__printf__, 2, 3)));
char *ctermid_r(char *);
char *fgetln(FILE *, size_t *);
const char *fmtcheck(const char *, const char *);
int fpurge(FILE *);
void setbuffer(FILE *, char *, int);
int setlinebuf(FILE *);
int vasprintf(char ** , const char * , va_list) __attribute__((__format__ (__printf__, 2, 0)));
FILE *zopen(const char *, const char *, int);





FILE *funopen(const void *,
                 int (* _Nullable)(void *, char *, int),
                 int (* _Nullable)(void *, const char *, int),
                 fpos_t (* _Nullable)(void *, fpos_t, int),
                 int (* _Nullable)(void *));
}
# 109 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdio.h" 2 3
# 91 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 1 3 4
# 69 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_clock_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_clock_t.h" 3 4
typedef __darwin_clock_t clock_t;
# 70 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_null.h" 1 3 4
# 71 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 72 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_time_t.h" 1 3 4
# 31 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_time_t.h" 3 4
typedef __darwin_time_t time_t;
# 73 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_timespec.h" 1 3 4
# 33 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_timespec.h" 3 4
struct timespec
{
 __darwin_time_t tv_sec;
 long tv_nsec;
};
# 74 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 2 3 4

struct tm {
 int tm_sec;
 int tm_min;
 int tm_hour;
 int tm_mday;
 int tm_mon;
 int tm_year;
 int tm_wday;
 int tm_yday;
 int tm_isdst;
 long tm_gmtoff;
 char *tm_zone;
};
# 98 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 3 4
extern char *tzname[];


extern int getdate_err;

extern long timezone __asm("_" "timezone" );

extern int daylight;

extern "C" {
char *asctime(const struct tm *);
clock_t clock(void) __asm("_" "clock" );
char *ctime(const time_t *);
double difftime(time_t, time_t);
struct tm *getdate(const char *);
struct tm *gmtime(const time_t *);
struct tm *localtime(const time_t *);
time_t mktime(struct tm *) __asm("_" "mktime" );
size_t strftime(char * , size_t, const char * , const struct tm * ) __asm("_" "strftime" );
char *strptime(const char * , const char * , struct tm * ) __asm("_" "strptime" );
time_t time(time_t *);


void tzset(void);



char *asctime_r(const struct tm * , char * );
char *ctime_r(const time_t *, char *);
struct tm *gmtime_r(const time_t * , struct tm * );
struct tm *localtime_r(const time_t * , struct tm * );


time_t posix2time(time_t);



void tzsetwall(void);
time_t time2posix(time_t);
time_t timelocal(struct tm * const);
time_t timegm(struct tm * const);



int nanosleep(const struct timespec *__rqtp, struct timespec *__rmtp) __asm("_" "nanosleep" );
# 153 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 3 4
typedef enum {
_CLOCK_REALTIME __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0))) = 0,

_CLOCK_MONOTONIC __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0))) = 6,


_CLOCK_MONOTONIC_RAW __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0))) = 4,

_CLOCK_MONOTONIC_RAW_APPROX __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0))) = 5,

_CLOCK_UPTIME_RAW __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0))) = 8,

_CLOCK_UPTIME_RAW_APPROX __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0))) = 9,


_CLOCK_PROCESS_CPUTIME_ID __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0))) = 12,

_CLOCK_THREAD_CPUTIME_ID __attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0))) = 16

} clockid_t;

__attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0)))
int clock_getres(clockid_t __clock_id, struct timespec *__res);

__attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0)))
int clock_gettime(clockid_t __clock_id, struct timespec *__tp);


__attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,introduced=10.0))) __attribute__((availability(tvos,introduced=10.0))) __attribute__((availability(watchos,introduced=3.0)))
__uint64_t clock_gettime_nsec_np(clockid_t __clock_id);


__attribute__((availability(macosx,introduced=10.12))) __attribute__((availability(ios,unavailable)))
__attribute__((availability(tvos,unavailable))) __attribute__((availability(watchos,unavailable)))
int clock_settime(clockid_t __clock_id, const struct timespec *__tp);
# 198 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/time.h" 3 4
__attribute__((availability(macosx,introduced=10.15))) __attribute__((availability(ios,introduced=13.0))) __attribute__((availability(tvos,introduced=13.0))) __attribute__((availability(watchos,introduced=6.0)))
int timespec_get(struct timespec *ts, int base);


}
# 92 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_wctype.h" 1 3 4
# 42 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_wctype.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/__wctype.h" 1 3 4
# 60 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/__wctype.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_wint_t.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_wint_t.h" 3 4
typedef __darwin_wint_t wint_t;
# 61 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/__wctype.h" 2 3 4

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_wctype_t.h" 1 3 4
# 32 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_types/_wctype_t.h" 3 4
typedef __darwin_wctype_t wctype_t;
# 63 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/__wctype.h" 2 3 4
# 72 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/__wctype.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ctype.h" 1 3 4
# 33 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ctype.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3 4
# 34 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ctype.h" 2 3 4
# 37 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ctype.h" 3


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/ctype.h" 1 3 4
# 69 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/ctype.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_ctype.h" 1 3 4
# 70 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_ctype.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/runetype.h" 1 3 4
# 46 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/runetype.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_size_t.h" 1 3 4
# 47 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/runetype.h" 2 3 4


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/_types/_wchar_t.h" 1 3 4
# 50 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/runetype.h" 2 3 4
# 60 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/runetype.h" 3 4
typedef struct {
 __darwin_rune_t __min;
 __darwin_rune_t __max;
 __darwin_rune_t __map;
 __uint32_t *__types;
} _RuneEntry;

typedef struct {
 int __nranges;
 _RuneEntry *__ranges;
} _RuneRange;

typedef struct {
 char __name[14];
 __uint32_t __mask;
} _RuneCharClass;

typedef struct {
 char __magic[8];
 char __encoding[32];

 __darwin_rune_t (*__sgetrune)(const char *, __darwin_size_t, char const **);
 int (*__sputrune)(__darwin_rune_t, char *, __darwin_size_t, char **);
 __darwin_rune_t __invalid_rune;

 __uint32_t __runetype[(1 <<8 )];
 __darwin_rune_t __maplower[(1 <<8 )];
 __darwin_rune_t __mapupper[(1 <<8 )];






 _RuneRange __runetype_ext;
 _RuneRange __maplower_ext;
 _RuneRange __mapupper_ext;

 void *__variable;
 int __variable_len;




 int __ncharclasses;
 _RuneCharClass *__charclasses;
} _RuneLocale;



extern "C" {
extern _RuneLocale _DefaultRuneLocale;
extern _RuneLocale *_CurrentRuneLocale;
}
# 71 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_ctype.h" 2 3 4
# 128 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_ctype.h" 3 4
extern "C" {
unsigned long ___runetype(__darwin_ct_rune_t);
__darwin_ct_rune_t ___tolower(__darwin_ct_rune_t);
__darwin_ct_rune_t ___toupper(__darwin_ct_rune_t);
}

inline int
isascii(int _c)
{
 return ((_c & ~0x7F) == 0);
}
# 147 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_ctype.h" 3 4
extern "C" {
int __maskrune(__darwin_ct_rune_t, unsigned long);
}


inline int
__istype(__darwin_ct_rune_t _c, unsigned long _f)
{



 return (isascii(_c) ? !!(_DefaultRuneLocale.__runetype[_c] & _f)
  : !!__maskrune(_c, _f));

}

inline __darwin_ct_rune_t
__isctype(__darwin_ct_rune_t _c, unsigned long _f)
{



 return (_c < 0 || _c >= (1 <<8 )) ? 0 :
  !!(_DefaultRuneLocale.__runetype[_c] & _f);

}
# 187 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_ctype.h" 3 4
extern "C" {
__darwin_ct_rune_t __toupper(__darwin_ct_rune_t);
__darwin_ct_rune_t __tolower(__darwin_ct_rune_t);
}


inline int
__wcwidth(__darwin_ct_rune_t _c)
{
 unsigned int _x;

 if (_c == 0)
  return (0);
 _x = (unsigned int)__maskrune(_c, 0xe0000000L|0x00040000L);
 if ((_x & 0xe0000000L) != 0)
  return ((_x & 0xe0000000L) >> 30);
 return ((_x & 0x00040000L) != 0 ? 1 : -1);
}






inline int
isalnum(int _c)
{
 return (__istype(_c, 0x00000100L|0x00000400L));
}

inline int
isalpha(int _c)
{
 return (__istype(_c, 0x00000100L));
}

inline int
isblank(int _c)
{
 return (__istype(_c, 0x00020000L));
}

inline int
iscntrl(int _c)
{
 return (__istype(_c, 0x00000200L));
}


inline int
isdigit(int _c)
{
 return (__isctype(_c, 0x00000400L));
}

inline int
isgraph(int _c)
{
 return (__istype(_c, 0x00000800L));
}

inline int
islower(int _c)
{
 return (__istype(_c, 0x00001000L));
}

inline int
isprint(int _c)
{
 return (__istype(_c, 0x00040000L));
}

inline int
ispunct(int _c)
{
 return (__istype(_c, 0x00002000L));
}

inline int
isspace(int _c)
{
 return (__istype(_c, 0x00004000L));
}

inline int
isupper(int _c)
{
 return (__istype(_c, 0x00008000L));
}


inline int
isxdigit(int _c)
{
 return (__isctype(_c, 0x00010000L));
}

inline int
toascii(int _c)
{
 return (_c & 0x7F);
}

inline int
tolower(int _c)
{
        return (__tolower(_c));
}

inline int
toupper(int _c)
{
        return (__toupper(_c));
}


inline int
digittoint(int _c)
{
 return (__maskrune(_c, 0x0F));
}

inline int
ishexnumber(int _c)
{
 return (__istype(_c, 0x00010000L));
}

inline int
isideogram(int _c)
{
 return (__istype(_c, 0x00080000L));
}

inline int
isnumber(int _c)
{
 return (__istype(_c, 0x00000400L));
}

inline int
isphonogram(int _c)
{
 return (__istype(_c, 0x00200000L));
}

inline int
isrune(int _c)
{
 return (__istype(_c, 0xFFFFFFF0L));
}

inline int
isspecial(int _c)
{
 return (__istype(_c, 0x00100000L));
}
# 70 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/ctype.h" 2 3 4
# 40 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ctype.h" 2 3
# 73 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/__wctype.h" 2 3 4
# 43 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_wctype.h" 2 3 4







inline int
iswalnum(wint_t _wc)
{
 return (__istype(_wc, 0x00000100L|0x00000400L));
}

inline int
iswalpha(wint_t _wc)
{
 return (__istype(_wc, 0x00000100L));
}

inline int
iswcntrl(wint_t _wc)
{
 return (__istype(_wc, 0x00000200L));
}

inline int
iswctype(wint_t _wc, wctype_t _charclass)
{
 return (__istype(_wc, _charclass));
}

inline int
iswdigit(wint_t _wc)
{
 return (__isctype(_wc, 0x00000400L));
}

inline int
iswgraph(wint_t _wc)
{
 return (__istype(_wc, 0x00000800L));
}

inline int
iswlower(wint_t _wc)
{
 return (__istype(_wc, 0x00001000L));
}

inline int
iswprint(wint_t _wc)
{
 return (__istype(_wc, 0x00040000L));
}

inline int
iswpunct(wint_t _wc)
{
 return (__istype(_wc, 0x00002000L));
}

inline int
iswspace(wint_t _wc)
{
 return (__istype(_wc, 0x00004000L));
}

inline int
iswupper(wint_t _wc)
{
 return (__istype(_wc, 0x00008000L));
}

inline int
iswxdigit(wint_t _wc)
{
 return (__isctype(_wc, 0x00010000L));
}

inline wint_t
towlower(wint_t _wc)
{
        return (__tolower(_wc));
}

inline wint_t
towupper(wint_t _wc)
{
        return (__toupper(_wc));
}
# 155 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/_wctype.h" 3 4
extern "C" {
wctype_t
 wctype(const char *);
}
# 93 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 2 3 4



extern "C" {
wint_t btowc(int);
wint_t fgetwc(FILE *);
wchar_t *fgetws(wchar_t * , int, FILE * );
wint_t fputwc(wchar_t, FILE *);
int fputws(const wchar_t * , FILE * );
int fwide(FILE *, int);
int fwprintf(FILE * , const wchar_t * , ...);
int fwscanf(FILE * , const wchar_t * , ...);
wint_t getwc(FILE *);
wint_t getwchar(void);
size_t mbrlen(const char * , size_t, mbstate_t * );
size_t mbrtowc(wchar_t * , const char * , size_t,
     mbstate_t * );
int mbsinit(const mbstate_t *);
size_t mbsrtowcs(wchar_t * , const char ** , size_t,
     mbstate_t * );
wint_t putwc(wchar_t, FILE *);
wint_t putwchar(wchar_t);
int swprintf(wchar_t * , size_t, const wchar_t * , ...);
int swscanf(const wchar_t * , const wchar_t * , ...);
wint_t ungetwc(wint_t, FILE *);
int vfwprintf(FILE * , const wchar_t * ,
     __darwin_va_list);
int vswprintf(wchar_t * , size_t, const wchar_t * ,
     __darwin_va_list);
int vwprintf(const wchar_t * , __darwin_va_list);
size_t wcrtomb(char * , wchar_t, mbstate_t * );
wchar_t *wcscat(wchar_t * , const wchar_t * );
wchar_t *wcschr(const wchar_t *, wchar_t);
int wcscmp(const wchar_t *, const wchar_t *);
int wcscoll(const wchar_t *, const wchar_t *);
wchar_t *wcscpy(wchar_t * , const wchar_t * );
size_t wcscspn(const wchar_t *, const wchar_t *);
size_t wcsftime(wchar_t * , size_t, const wchar_t * ,
     const struct tm * ) __asm("_" "wcsftime" );
size_t wcslen(const wchar_t *);
wchar_t *wcsncat(wchar_t * , const wchar_t * , size_t);
int wcsncmp(const wchar_t *, const wchar_t *, size_t);
wchar_t *wcsncpy(wchar_t * , const wchar_t * , size_t);
wchar_t *wcspbrk(const wchar_t *, const wchar_t *);
wchar_t *wcsrchr(const wchar_t *, wchar_t);
size_t wcsrtombs(char * , const wchar_t ** , size_t,
     mbstate_t * );
size_t wcsspn(const wchar_t *, const wchar_t *);
wchar_t *wcsstr(const wchar_t * , const wchar_t * );
size_t wcsxfrm(wchar_t * , const wchar_t * , size_t);
int wctob(wint_t);
double wcstod(const wchar_t * , wchar_t ** );
wchar_t *wcstok(wchar_t * , const wchar_t * ,
     wchar_t ** );
long wcstol(const wchar_t * , wchar_t ** , int);
unsigned long
  wcstoul(const wchar_t * , wchar_t ** , int);
wchar_t *wmemchr(const wchar_t *, wchar_t, size_t);
int wmemcmp(const wchar_t *, const wchar_t *, size_t);
wchar_t *wmemcpy(wchar_t * , const wchar_t * , size_t);
wchar_t *wmemmove(wchar_t *, const wchar_t *, size_t);
wchar_t *wmemset(wchar_t *, wchar_t, size_t);
int wprintf(const wchar_t * , ...);
int wscanf(const wchar_t * , ...);
int wcswidth(const wchar_t *, size_t);
int wcwidth(wchar_t);
}
# 169 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 3 4
extern "C" {
int vfwscanf(FILE * , const wchar_t * ,
     __darwin_va_list);
int vswscanf(const wchar_t * , const wchar_t * ,
     __darwin_va_list);
int vwscanf(const wchar_t * , __darwin_va_list);
float wcstof(const wchar_t * , wchar_t ** );
long double
 wcstold(const wchar_t * , wchar_t ** );

long long
 wcstoll(const wchar_t * , wchar_t ** , int);
unsigned long long
 wcstoull(const wchar_t * , wchar_t ** , int);

}
# 194 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/wchar.h" 3 4
extern "C" {
size_t mbsnrtowcs(wchar_t * , const char ** , size_t,
            size_t, mbstate_t * );
wchar_t *wcpcpy(wchar_t * , const wchar_t * ) __attribute__((availability(macosx,introduced=10.7)));
wchar_t *wcpncpy(wchar_t * , const wchar_t * , size_t) __attribute__((availability(macosx,introduced=10.7)));
wchar_t *wcsdup(const wchar_t *) __attribute__((availability(macosx,introduced=10.7)));
int wcscasecmp(const wchar_t *, const wchar_t *) __attribute__((availability(macosx,introduced=10.7)));
int wcsncasecmp(const wchar_t *, const wchar_t *, size_t n) __attribute__((availability(macosx,introduced=10.7)));
size_t wcsnlen(const wchar_t *, size_t) __attribute__((availability(macosx,introduced=10.7)));
size_t wcsnrtombs(char * , const wchar_t ** , size_t,
            size_t, mbstate_t * );
FILE *open_wmemstream(wchar_t ** __bufp, size_t * __sizep) __attribute__((availability(macos,introduced=10.13))) __attribute__((availability(ios,introduced=11.0))) __attribute__((availability(tvos,introduced=11.0))) __attribute__((availability(watchos,introduced=4.0)));
}







extern "C" {
wchar_t *fgetwln(FILE * , size_t *) __attribute__((availability(macosx,introduced=10.7)));
size_t wcslcat(wchar_t *, const wchar_t *, size_t);
size_t wcslcpy(wchar_t *, const wchar_t *, size_t);
}
# 120 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/wchar.h" 2 3
# 135 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/wchar.h" 3
extern "C++" {
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
wchar_t* __libcpp_wcschr(const wchar_t* __s, wchar_t __c) {return (wchar_t*)wcschr(__s, __c);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const wchar_t* wcschr(const wchar_t* __s, wchar_t __c) {return __libcpp_wcschr(__s, __c);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      wchar_t* wcschr( wchar_t* __s, wchar_t __c) {return __libcpp_wcschr(__s, __c);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
wchar_t* __libcpp_wcspbrk(const wchar_t* __s1, const wchar_t* __s2) {return (wchar_t*)wcspbrk(__s1, __s2);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const wchar_t* wcspbrk(const wchar_t* __s1, const wchar_t* __s2) {return __libcpp_wcspbrk(__s1, __s2);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      wchar_t* wcspbrk( wchar_t* __s1, const wchar_t* __s2) {return __libcpp_wcspbrk(__s1, __s2);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
wchar_t* __libcpp_wcsrchr(const wchar_t* __s, wchar_t __c) {return (wchar_t*)wcsrchr(__s, __c);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const wchar_t* wcsrchr(const wchar_t* __s, wchar_t __c) {return __libcpp_wcsrchr(__s, __c);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      wchar_t* wcsrchr( wchar_t* __s, wchar_t __c) {return __libcpp_wcsrchr(__s, __c);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
wchar_t* __libcpp_wcsstr(const wchar_t* __s1, const wchar_t* __s2) {return (wchar_t*)wcsstr(__s1, __s2);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const wchar_t* wcsstr(const wchar_t* __s1, const wchar_t* __s2) {return __libcpp_wcsstr(__s1, __s2);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      wchar_t* wcsstr( wchar_t* __s1, const wchar_t* __s2) {return __libcpp_wcsstr(__s1, __s2);}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
wchar_t* __libcpp_wmemchr(const wchar_t* __s, wchar_t __c, size_t __n) {return (wchar_t*)wmemchr(__s, __c, __n);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
const wchar_t* wmemchr(const wchar_t* __s, wchar_t __c, size_t __n) {return __libcpp_wmemchr(__s, __c, __n);}
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __attribute__ ((__enable_if__(true, "")))
      wchar_t* wmemchr( wchar_t* __s, wchar_t __c, size_t __n) {return __libcpp_wmemchr(__s, __c, __n);}
}
# 97 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iosfwd" 2 3
# 100 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iosfwd" 3


namespace std { inline namespace __1 {

class __attribute__ ((__visibility__("default"))) ios_base;

template<class _CharT> struct __attribute__ ((__type_visibility__("default"))) char_traits;
template<> struct char_traits<char>;



template<> struct char_traits<char16_t>;
template<> struct char_traits<char32_t>;
template<> struct char_traits<wchar_t>;

template<class _Tp> class __attribute__ ((__type_visibility__("default"))) allocator;

template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_ios;

template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_streambuf;
template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_istream;
template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_ostream;
template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_iostream;

template <class _CharT, class _Traits = char_traits<_CharT>,
          class _Allocator = allocator<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_stringbuf;
template <class _CharT, class _Traits = char_traits<_CharT>,
          class _Allocator = allocator<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_istringstream;
template <class _CharT, class _Traits = char_traits<_CharT>,
          class _Allocator = allocator<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_ostringstream;
template <class _CharT, class _Traits = char_traits<_CharT>,
          class _Allocator = allocator<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_stringstream;

template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_filebuf;
template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_ifstream;
template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_ofstream;
template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_fstream;

template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) istreambuf_iterator;
template <class _CharT, class _Traits = char_traits<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) ostreambuf_iterator;

typedef basic_ios<char> ios;
typedef basic_ios<wchar_t> wios;

typedef basic_streambuf<char> streambuf;
typedef basic_istream<char> istream;
typedef basic_ostream<char> ostream;
typedef basic_iostream<char> iostream;

typedef basic_stringbuf<char> stringbuf;
typedef basic_istringstream<char> istringstream;
typedef basic_ostringstream<char> ostringstream;
typedef basic_stringstream<char> stringstream;

typedef basic_filebuf<char> filebuf;
typedef basic_ifstream<char> ifstream;
typedef basic_ofstream<char> ofstream;
typedef basic_fstream<char> fstream;

typedef basic_streambuf<wchar_t> wstreambuf;
typedef basic_istream<wchar_t> wistream;
typedef basic_ostream<wchar_t> wostream;
typedef basic_iostream<wchar_t> wiostream;

typedef basic_stringbuf<wchar_t> wstringbuf;
typedef basic_istringstream<wchar_t> wistringstream;
typedef basic_ostringstream<wchar_t> wostringstream;
typedef basic_stringstream<wchar_t> wstringstream;

typedef basic_filebuf<wchar_t> wfilebuf;
typedef basic_ifstream<wchar_t> wifstream;
typedef basic_ofstream<wchar_t> wofstream;
typedef basic_fstream<wchar_t> wfstream;

template <class _State> class __attribute__ ((__type_visibility__("default"))) fpos;
typedef fpos<mbstate_t> streampos;
typedef fpos<mbstate_t> wstreampos;




typedef fpos<mbstate_t> u16streampos;
typedef fpos<mbstate_t> u32streampos;






typedef long long streamoff;


template <class _CharT,
          class _Traits = char_traits<_CharT>,
          class _Allocator = allocator<_CharT> >
    class __attribute__ ((__type_visibility__("default"))) basic_string;
typedef basic_string<char, char_traits<char>, allocator<char> > string;
typedef basic_string<wchar_t, char_traits<wchar_t>, allocator<wchar_t> > wstring;



template <class _Tp, class _Alloc = allocator<_Tp> >
class __attribute__ ((__type_visibility__("default"))) vector;

} }
# 417 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__functional_base" 1 3
# 14 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__functional_base" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 15 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__functional_base" 2 3
# 23 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__functional_base" 3


namespace std { inline namespace __1 {

template <class _Arg1, class _Arg2, class _Result>
struct __attribute__ ((__type_visibility__("default"))) binary_function
{
    typedef _Arg1 first_argument_type;
    typedef _Arg2 second_argument_type;
    typedef _Result result_type;
};

template <class _Tp>
struct __has_result_type
{
private:
    struct __two {char __lx; char __lxx;};
    template <class _Up> static __two __test(...);
    template <class _Up> static char __test(typename _Up::result_type* = 0);
public:
    static const bool value = sizeof(__test<_Tp>(0)) == 1;
};


template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) less : binary_function<_Tp, _Tp, bool>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x < __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) less<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) < std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) < std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) < std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp>
struct __derives_from_unary_function
{
private:
    struct __two {char __lx; char __lxx;};
    static __two __test(...);
    template <class _Ap, class _Rp>
        static unary_function<_Ap, _Rp>
        __test(const volatile unary_function<_Ap, _Rp>*);
public:
    static const bool value = !is_same<decltype(__test((_Tp*)0)), __two>::value;
    typedef decltype(__test((_Tp*)0)) type;
};

template <class _Tp>
struct __derives_from_binary_function
{
private:
    struct __two {char __lx; char __lxx;};
    static __two __test(...);
    template <class _A1, class _A2, class _Rp>
        static binary_function<_A1, _A2, _Rp>
        __test(const volatile binary_function<_A1, _A2, _Rp>*);
public:
    static const bool value = !is_same<decltype(__test((_Tp*)0)), __two>::value;
    typedef decltype(__test((_Tp*)0)) type;
};

template <class _Tp, bool = __derives_from_unary_function<_Tp>::value>
struct __maybe_derive_from_unary_function
    : public __derives_from_unary_function<_Tp>::type
{
};

template <class _Tp>
struct __maybe_derive_from_unary_function<_Tp, false>
{
};

template <class _Tp, bool = __derives_from_binary_function<_Tp>::value>
struct __maybe_derive_from_binary_function
    : public __derives_from_binary_function<_Tp>::type
{
};

template <class _Tp>
struct __maybe_derive_from_binary_function<_Tp, false>
{
};

template <class _Tp, bool = __has_result_type<_Tp>::value>
struct __weak_result_type_imp
    : public __maybe_derive_from_unary_function<_Tp>,
      public __maybe_derive_from_binary_function<_Tp>
{
    typedef typename _Tp::result_type result_type;
};

template <class _Tp>
struct __weak_result_type_imp<_Tp, false>
    : public __maybe_derive_from_unary_function<_Tp>,
      public __maybe_derive_from_binary_function<_Tp>
{
};

template <class _Tp>
struct __weak_result_type
    : public __weak_result_type_imp<_Tp>
{
};



template <class _Rp>
struct __weak_result_type<_Rp ()>
{
    typedef _Rp result_type;
};

template <class _Rp>
struct __weak_result_type<_Rp (&)()>
{
    typedef _Rp result_type;
};

template <class _Rp>
struct __weak_result_type<_Rp (*)()>
{
    typedef _Rp result_type;
};



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

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

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

template <class _Rp, class _Cp>
struct __weak_result_type<_Rp (_Cp::*)()>
    : public unary_function<_Cp*, _Rp>
{
};

template <class _Rp, class _Cp>
struct __weak_result_type<_Rp (_Cp::*)() const>
    : public unary_function<const _Cp*, _Rp>
{
};

template <class _Rp, class _Cp>
struct __weak_result_type<_Rp (_Cp::*)() volatile>
    : public unary_function<volatile _Cp*, _Rp>
{
};

template <class _Rp, class _Cp>
struct __weak_result_type<_Rp (_Cp::*)() const volatile>
    : public unary_function<const volatile _Cp*, _Rp>
{
};



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

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

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

template <class _Rp, class _Cp, class _A1>
struct __weak_result_type<_Rp (_Cp::*)(_A1)>
    : public binary_function<_Cp*, _A1, _Rp>
{
};

template <class _Rp, class _Cp, class _A1>
struct __weak_result_type<_Rp (_Cp::*)(_A1) const>
    : public binary_function<const _Cp*, _A1, _Rp>
{
};

template <class _Rp, class _Cp, class _A1>
struct __weak_result_type<_Rp (_Cp::*)(_A1) volatile>
    : public binary_function<volatile _Cp*, _A1, _Rp>
{
};

template <class _Rp, class _Cp, class _A1>
struct __weak_result_type<_Rp (_Cp::*)(_A1) const volatile>
    : public binary_function<const volatile _Cp*, _A1, _Rp>
{
};





template <class _Rp, class _A1, class _A2, class _A3, class ..._A4>
struct __weak_result_type<_Rp (_A1, _A2, _A3, _A4...)>
{
    typedef _Rp result_type;
};

template <class _Rp, class _A1, class _A2, class _A3, class ..._A4>
struct __weak_result_type<_Rp (&)(_A1, _A2, _A3, _A4...)>
{
    typedef _Rp result_type;
};

template <class _Rp, class _A1, class _A2, class _A3, class ..._A4>
struct __weak_result_type<_Rp (*)(_A1, _A2, _A3, _A4...)>
{
    typedef _Rp result_type;
};

template <class _Rp, class _Cp, class _A1, class _A2, class ..._A3>
struct __weak_result_type<_Rp (_Cp::*)(_A1, _A2, _A3...)>
{
    typedef _Rp result_type;
};

template <class _Rp, class _Cp, class _A1, class _A2, class ..._A3>
struct __weak_result_type<_Rp (_Cp::*)(_A1, _A2, _A3...) const>
{
    typedef _Rp result_type;
};

template <class _Rp, class _Cp, class _A1, class _A2, class ..._A3>
struct __weak_result_type<_Rp (_Cp::*)(_A1, _A2, _A3...) volatile>
{
    typedef _Rp result_type;
};

template <class _Rp, class _Cp, class _A1, class _A2, class ..._A3>
struct __weak_result_type<_Rp (_Cp::*)(_A1, _A2, _A3...) const volatile>
{
    typedef _Rp result_type;
};

template <class _Tp, class ..._Args>
struct __invoke_return
{
    typedef decltype(__invoke(std::__1::declval<_Tp>(), std::__1::declval<_Args>()...)) type;
};
# 312 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__functional_base" 3
template <class _Ret>
struct __invoke_void_return_wrapper
{

    template <class ..._Args>
    static _Ret __call(_Args&&... __args) {
        return __invoke(std::__1::forward<_Args>(__args)...);
    }
# 341 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__functional_base" 3
};

template <>
struct __invoke_void_return_wrapper<void>
{

    template <class ..._Args>
    static void __call(_Args&&... __args) {
        __invoke(std::__1::forward<_Args>(__args)...);
    }
# 372 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__functional_base" 3
};

template <class _Tp>
class __attribute__ ((__type_visibility__("default"))) reference_wrapper
    : public __weak_result_type<_Tp>
{
public:

    typedef _Tp type;
private:
    type* __f_;

public:

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) reference_wrapper(type& __f) noexcept
        : __f_(std::__1::addressof(__f)) {}

    private: reference_wrapper(type&&); public:



    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) operator type& () const noexcept {return *__f_;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) type& get() const noexcept {return *__f_;}



    template <class... _ArgTypes>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    typename __invoke_of<type&, _ArgTypes...>::type
    operator() (_ArgTypes&&... __args) const {
        return __invoke(get(), std::__1::forward<_ArgTypes>(__args)...);
    }
# 510 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__functional_base" 3
};


template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
reference_wrapper<_Tp>
ref(_Tp& __t) noexcept
{
    return reference_wrapper<_Tp>(__t);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
reference_wrapper<_Tp>
ref(reference_wrapper<_Tp> __t) noexcept
{
    return ref(__t.get());
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
reference_wrapper<const _Tp>
cref(const _Tp& __t) noexcept
{
    return reference_wrapper<const _Tp>(__t);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
reference_wrapper<const _Tp>
cref(reference_wrapper<_Tp> __t) noexcept
{
    return cref(__t.get());
}


template <class _Tp> void ref(const _Tp&&) = delete;
template <class _Tp> void cref(const _Tp&&) = delete;



template <class _Tp, class, class = void>
struct __is_transparent : false_type {};

template <class _Tp, class _Up>
struct __is_transparent<_Tp, _Up,
                        typename __void_t<typename _Tp::is_transparent>::type>
   : true_type {};




struct __attribute__ ((__type_visibility__("default"))) allocator_arg_t { };




                         constexpr allocator_arg_t allocator_arg = allocator_arg_t();




template <class _Tp>
struct __has_allocator_type
{
private:
    struct __two {char __lx; char __lxx;};
    template <class _Up> static __two __test(...);
    template <class _Up> static char __test(typename _Up::allocator_type* = 0);
public:
    static const bool value = sizeof(__test<_Tp>(0)) == 1;
};

template <class _Tp, class _Alloc, bool = __has_allocator_type<_Tp>::value>
struct __uses_allocator
    : public integral_constant<bool,
        is_convertible<_Alloc, typename _Tp::allocator_type>::value>
{
};

template <class _Tp, class _Alloc>
struct __uses_allocator<_Tp, _Alloc, false>
    : public false_type
{
};

template <class _Tp, class _Alloc>
struct __attribute__ ((__type_visibility__("default"))) uses_allocator
    : public __uses_allocator<_Tp, _Alloc>
{
};


template <class _Tp, class _Alloc>
inline constexpr size_t uses_allocator_v = uses_allocator<_Tp, _Alloc>::value;






template <class _Tp, class _Alloc, class ..._Args>
struct __uses_alloc_ctor_imp
{
    typedef typename __uncvref<_Alloc>::type _RawAlloc;
    static const bool __ua = uses_allocator<_Tp, _RawAlloc>::value;
    static const bool __ic =
        is_constructible<_Tp, allocator_arg_t, _Alloc, _Args...>::value;
    static const int value = __ua ? 2 - __ic : 0;
};

template <class _Tp, class _Alloc, class ..._Args>
struct __uses_alloc_ctor
    : integral_constant<int, __uses_alloc_ctor_imp<_Tp, _Alloc, _Args...>::value>
    {};

template <class _Tp, class _Allocator, class... _Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __user_alloc_construct_impl (integral_constant<int, 0>, _Tp *__storage, const _Allocator &, _Args &&... __args )
{
    new (__storage) _Tp (std::__1::forward<_Args>(__args)...);
}


template <class _Tp, class _Allocator, class... _Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __user_alloc_construct_impl (integral_constant<int, 1>, _Tp *__storage, const _Allocator &__a, _Args &&... __args )
{
    new (__storage) _Tp (allocator_arg, __a, std::__1::forward<_Args>(__args)...);
}


template <class _Tp, class _Allocator, class... _Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __user_alloc_construct_impl (integral_constant<int, 2>, _Tp *__storage, const _Allocator &__a, _Args &&... __args )
{
    new (__storage) _Tp (std::__1::forward<_Args>(__args)..., __a);
}



} }
# 418 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 2 3
# 430 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 3


namespace std { inline namespace __1 {

struct __attribute__ ((__type_visibility__("default"))) input_iterator_tag {};
struct __attribute__ ((__type_visibility__("default"))) output_iterator_tag {};
struct __attribute__ ((__type_visibility__("default"))) forward_iterator_tag : public input_iterator_tag {};
struct __attribute__ ((__type_visibility__("default"))) bidirectional_iterator_tag : public forward_iterator_tag {};
struct __attribute__ ((__type_visibility__("default"))) random_access_iterator_tag : public bidirectional_iterator_tag {};

template <class _Tp>
struct __has_iterator_typedefs
{
private:
    struct __two {char __lx; char __lxx;};
    template <class _Up> static __two __test(...);
    template <class _Up> static char __test(typename std::__void_t<typename _Up::iterator_category>::type* = 0,
              typename std::__void_t<typename _Up::difference_type>::type* = 0,
              typename std::__void_t<typename _Up::value_type>::type* = 0,
              typename std::__void_t<typename _Up::reference>::type* = 0,
              typename std::__void_t<typename _Up::pointer>::type* = 0
              );
public:
    static const bool value = sizeof(__test<_Tp>(0,0,0,0,0)) == 1;
};


template <class _Tp>
struct __has_iterator_category
{
private:
    struct __two {char __lx; char __lxx;};
    template <class _Up> static __two __test(...);
    template <class _Up> static char __test(typename _Up::iterator_category* = 0);
public:
    static const bool value = sizeof(__test<_Tp>(0)) == 1;
};

template <class _Iter, bool> struct __iterator_traits_impl {};

template <class _Iter>
struct __iterator_traits_impl<_Iter, true>
{
    typedef typename _Iter::difference_type difference_type;
    typedef typename _Iter::value_type value_type;
    typedef typename _Iter::pointer pointer;
    typedef typename _Iter::reference reference;
    typedef typename _Iter::iterator_category iterator_category;
};

template <class _Iter, bool> struct __iterator_traits {};

template <class _Iter>
struct __iterator_traits<_Iter, true>
    : __iterator_traits_impl
      <
        _Iter,
        is_convertible<typename _Iter::iterator_category, input_iterator_tag>::value ||
        is_convertible<typename _Iter::iterator_category, output_iterator_tag>::value
      >
{};






template <class _Iter>
struct __attribute__ ((__type_visibility__("default"))) iterator_traits
    : __iterator_traits<_Iter, __has_iterator_typedefs<_Iter>::value> {};

template<class _Tp>
struct __attribute__ ((__type_visibility__("default"))) iterator_traits<_Tp*>
{
    typedef ptrdiff_t difference_type;
    typedef typename remove_cv<_Tp>::type value_type;
    typedef _Tp* pointer;
    typedef _Tp& reference;
    typedef random_access_iterator_tag iterator_category;
};

template <class _Tp, class _Up, bool = __has_iterator_category<iterator_traits<_Tp> >::value>
struct __has_iterator_category_convertible_to
    : public integral_constant<bool, is_convertible<typename iterator_traits<_Tp>::iterator_category, _Up>::value>
{};

template <class _Tp, class _Up>
struct __has_iterator_category_convertible_to<_Tp, _Up, false> : public false_type {};

template <class _Tp>
struct __is_input_iterator : public __has_iterator_category_convertible_to<_Tp, input_iterator_tag> {};

template <class _Tp>
struct __is_forward_iterator : public __has_iterator_category_convertible_to<_Tp, forward_iterator_tag> {};

template <class _Tp>
struct __is_bidirectional_iterator : public __has_iterator_category_convertible_to<_Tp, bidirectional_iterator_tag> {};

template <class _Tp>
struct __is_random_access_iterator : public __has_iterator_category_convertible_to<_Tp, random_access_iterator_tag> {};

template <class _Tp>
struct __is_exactly_input_iterator
    : public integral_constant<bool,
         __has_iterator_category_convertible_to<_Tp, input_iterator_tag>::value &&
        !__has_iterator_category_convertible_to<_Tp, forward_iterator_tag>::value> {};

template<class _Category, class _Tp, class _Distance = ptrdiff_t,
         class _Pointer = _Tp*, class _Reference = _Tp&>
struct __attribute__ ((__type_visibility__("default"))) iterator
{
    typedef _Tp value_type;
    typedef _Distance difference_type;
    typedef _Pointer pointer;
    typedef _Reference reference;
    typedef _Category iterator_category;
};

template <class _InputIter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
void __advance(_InputIter& __i,
             typename iterator_traits<_InputIter>::difference_type __n, input_iterator_tag)
{
    for (; __n > 0; --__n)
        ++__i;
}

template <class _BiDirIter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
void __advance(_BiDirIter& __i,
             typename iterator_traits<_BiDirIter>::difference_type __n, bidirectional_iterator_tag)
{
    if (__n >= 0)
        for (; __n > 0; --__n)
            ++__i;
    else
        for (; __n < 0; ++__n)
            --__i;
}

template <class _RandIter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
void __advance(_RandIter& __i,
             typename iterator_traits<_RandIter>::difference_type __n, random_access_iterator_tag)
{
   __i += __n;
}

template <class _InputIter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
void advance(_InputIter& __i,
             typename iterator_traits<_InputIter>::difference_type __n)
{
    __advance(__i, __n, typename iterator_traits<_InputIter>::iterator_category());
}

template <class _InputIter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename iterator_traits<_InputIter>::difference_type
__distance(_InputIter __first, _InputIter __last, input_iterator_tag)
{
    typename iterator_traits<_InputIter>::difference_type __r(0);
    for (; __first != __last; ++__first)
        ++__r;
    return __r;
}

template <class _RandIter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename iterator_traits<_RandIter>::difference_type
__distance(_RandIter __first, _RandIter __last, random_access_iterator_tag)
{
    return __last - __first;
}

template <class _InputIter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename iterator_traits<_InputIter>::difference_type
distance(_InputIter __first, _InputIter __last)
{
    return __distance(__first, __last, typename iterator_traits<_InputIter>::iterator_category());
}

template <class _InputIter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if
<
    __is_input_iterator<_InputIter>::value,
    _InputIter
>::type
next(_InputIter __x,
     typename iterator_traits<_InputIter>::difference_type __n = 1)
{
    std::__1::advance(__x, __n);
    return __x;
}

template <class _BidirectionalIter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if
<
    __is_bidirectional_iterator<_BidirectionalIter>::value,
    _BidirectionalIter
>::type
prev(_BidirectionalIter __x,
     typename iterator_traits<_BidirectionalIter>::difference_type __n = 1)
{
    std::__1::advance(__x, -__n);
    return __x;
}


template <class _Tp, class = void>
struct __is_stashing_iterator : false_type {};

template <class _Tp>
struct __is_stashing_iterator<_Tp, typename __void_t<typename _Tp::__stashing_iterator_tag>::type>
  : true_type {};

template <class _Iter>
class __attribute__ ((__type_visibility__("default"))) reverse_iterator
    : public iterator<typename iterator_traits<_Iter>::iterator_category,
                      typename iterator_traits<_Iter>::value_type,
                      typename iterator_traits<_Iter>::difference_type,
                      typename iterator_traits<_Iter>::pointer,
                      typename iterator_traits<_Iter>::reference>
{
private:
                _Iter __t;

    static_assert(!__is_stashing_iterator<_Iter>::value,
      "The specified iterator type cannot be used with reverse_iterator; "
      "Using stashing iterators with reverse_iterator causes undefined behavior");

protected:
    _Iter current;
public:
    typedef _Iter iterator_type;
    typedef typename iterator_traits<_Iter>::difference_type difference_type;
    typedef typename iterator_traits<_Iter>::reference reference;
    typedef typename iterator_traits<_Iter>::pointer pointer;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reverse_iterator() : __t(), current() {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    explicit reverse_iterator(_Iter __x) : __t(__x), current(__x) {}
    template <class _Up>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        reverse_iterator(const reverse_iterator<_Up>& __u) : __t(__u.base()), current(__u.base()) {}
    template <class _Up>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        reverse_iterator& operator=(const reverse_iterator<_Up>& __u)
            { __t = current = __u.base(); return *this; }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    _Iter base() const {return current;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reference operator*() const {_Iter __tmp = current; return *--__tmp;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    pointer operator->() const {return std::__1::addressof(operator*());}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reverse_iterator& operator++() {--current; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reverse_iterator operator++(int) {reverse_iterator __tmp(*this); --current; return __tmp;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reverse_iterator& operator--() {++current; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reverse_iterator operator--(int) {reverse_iterator __tmp(*this); ++current; return __tmp;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reverse_iterator operator+ (difference_type __n) const {return reverse_iterator(current - __n);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reverse_iterator& operator+=(difference_type __n) {current -= __n; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reverse_iterator operator- (difference_type __n) const {return reverse_iterator(current + __n);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reverse_iterator& operator-=(difference_type __n) {current += __n; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reference operator[](difference_type __n) const {return *(*this + __n);}
};

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator==(const reverse_iterator<_Iter1>& __x, const reverse_iterator<_Iter2>& __y)
{
    return __x.base() == __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<(const reverse_iterator<_Iter1>& __x, const reverse_iterator<_Iter2>& __y)
{
    return __x.base() > __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator!=(const reverse_iterator<_Iter1>& __x, const reverse_iterator<_Iter2>& __y)
{
    return __x.base() != __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>(const reverse_iterator<_Iter1>& __x, const reverse_iterator<_Iter2>& __y)
{
    return __x.base() < __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>=(const reverse_iterator<_Iter1>& __x, const reverse_iterator<_Iter2>& __y)
{
    return __x.base() <= __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<=(const reverse_iterator<_Iter1>& __x, const reverse_iterator<_Iter2>& __y)
{
    return __x.base() >= __y.base();
}


template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto
operator-(const reverse_iterator<_Iter1>& __x, const reverse_iterator<_Iter2>& __y)
-> decltype(__y.base() - __x.base())
{
    return __y.base() - __x.base();
}
# 776 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 3
template <class _Iter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
reverse_iterator<_Iter>
operator+(typename reverse_iterator<_Iter>::difference_type __n, const reverse_iterator<_Iter>& __x)
{
    return reverse_iterator<_Iter>(__x.base() - __n);
}


template <class _Iter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
reverse_iterator<_Iter> make_reverse_iterator(_Iter __i)
{
    return reverse_iterator<_Iter>(__i);
}


template <class _Container>
class __attribute__ ((__type_visibility__("default"))) back_insert_iterator
    : public iterator<output_iterator_tag,
                      void,
                      void,
                      void,
                      void>
{
protected:
    _Container* container;
public:
    typedef _Container container_type;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit back_insert_iterator(_Container& __x) : container(std::__1::addressof(__x)) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) back_insert_iterator& operator=(const typename _Container::value_type& __value_)
        {container->push_back(__value_); return *this;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) back_insert_iterator& operator=(typename _Container::value_type&& __value_)
        {container->push_back(std::__1::move(__value_)); return *this;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) back_insert_iterator& operator*() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) back_insert_iterator& operator++() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) back_insert_iterator operator++(int) {return *this;}
};

template <class _Container>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
back_insert_iterator<_Container>
back_inserter(_Container& __x)
{
    return back_insert_iterator<_Container>(__x);
}

template <class _Container>
class __attribute__ ((__type_visibility__("default"))) front_insert_iterator
    : public iterator<output_iterator_tag,
                      void,
                      void,
                      void,
                      void>
{
protected:
    _Container* container;
public:
    typedef _Container container_type;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit front_insert_iterator(_Container& __x) : container(std::__1::addressof(__x)) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) front_insert_iterator& operator=(const typename _Container::value_type& __value_)
        {container->push_front(__value_); return *this;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) front_insert_iterator& operator=(typename _Container::value_type&& __value_)
        {container->push_front(std::__1::move(__value_)); return *this;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) front_insert_iterator& operator*() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) front_insert_iterator& operator++() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) front_insert_iterator operator++(int) {return *this;}
};

template <class _Container>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
front_insert_iterator<_Container>
front_inserter(_Container& __x)
{
    return front_insert_iterator<_Container>(__x);
}

template <class _Container>
class __attribute__ ((__type_visibility__("default"))) insert_iterator
    : public iterator<output_iterator_tag,
                      void,
                      void,
                      void,
                      void>
{
protected:
    _Container* container;
    typename _Container::iterator iter;
public:
    typedef _Container container_type;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) insert_iterator(_Container& __x, typename _Container::iterator __i)
        : container(std::__1::addressof(__x)), iter(__i) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) insert_iterator& operator=(const typename _Container::value_type& __value_)
        {iter = container->insert(iter, __value_); ++iter; return *this;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) insert_iterator& operator=(typename _Container::value_type&& __value_)
        {iter = container->insert(iter, std::__1::move(__value_)); ++iter; return *this;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) insert_iterator& operator*() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) insert_iterator& operator++() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) insert_iterator& operator++(int) {return *this;}
};

template <class _Container>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
insert_iterator<_Container>
inserter(_Container& __x, typename _Container::iterator __i)
{
    return insert_iterator<_Container>(__x, __i);
}

template <class _Tp, class _CharT = char,
          class _Traits = char_traits<_CharT>, class _Distance = ptrdiff_t>
class __attribute__ ((__type_visibility__("default"))) istream_iterator
    : public iterator<input_iterator_tag, _Tp, _Distance, const _Tp*, const _Tp&>
{
public:
    typedef _CharT char_type;
    typedef _Traits traits_type;
    typedef basic_istream<_CharT,_Traits> istream_type;
private:
    istream_type* __in_stream_;
    _Tp __value_;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr istream_iterator() : __in_stream_(0), __value_() {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) istream_iterator(istream_type& __s) : __in_stream_(std::__1::addressof(__s))
        {
            if (!(*__in_stream_ >> __value_))
                __in_stream_ = 0;
        }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) const _Tp& operator*() const {return __value_;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) const _Tp* operator->() const {return std::__1::addressof((operator*()));}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) istream_iterator& operator++()
        {
            if (!(*__in_stream_ >> __value_))
                __in_stream_ = 0;
            return *this;
        }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) istream_iterator operator++(int)
        {istream_iterator __t(*this); ++(*this); return __t;}

    template <class _Up, class _CharU, class _TraitsU, class _DistanceU>
    friend __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool
    operator==(const istream_iterator<_Up, _CharU, _TraitsU, _DistanceU>& __x,
               const istream_iterator<_Up, _CharU, _TraitsU, _DistanceU>& __y);

    template <class _Up, class _CharU, class _TraitsU, class _DistanceU>
    friend __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool
    operator==(const istream_iterator<_Up, _CharU, _TraitsU, _DistanceU>& __x,
               const istream_iterator<_Up, _CharU, _TraitsU, _DistanceU>& __y);
};

template <class _Tp, class _CharT, class _Traits, class _Distance>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator==(const istream_iterator<_Tp, _CharT, _Traits, _Distance>& __x,
           const istream_iterator<_Tp, _CharT, _Traits, _Distance>& __y)
{
    return __x.__in_stream_ == __y.__in_stream_;
}

template <class _Tp, class _CharT, class _Traits, class _Distance>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(const istream_iterator<_Tp, _CharT, _Traits, _Distance>& __x,
           const istream_iterator<_Tp, _CharT, _Traits, _Distance>& __y)
{
    return !(__x == __y);
}

template <class _Tp, class _CharT = char, class _Traits = char_traits<_CharT> >
class __attribute__ ((__type_visibility__("default"))) ostream_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
{
public:
    typedef _CharT char_type;
    typedef _Traits traits_type;
    typedef basic_ostream<_CharT,_Traits> ostream_type;
private:
    ostream_type* __out_stream_;
    const char_type* __delim_;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostream_iterator(ostream_type& __s) noexcept
        : __out_stream_(std::__1::addressof(__s)), __delim_(0) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostream_iterator(ostream_type& __s, const _CharT* __delimiter) noexcept
        : __out_stream_(std::__1::addressof(__s)), __delim_(__delimiter) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostream_iterator& operator=(const _Tp& __value_)
        {
            *__out_stream_ << __value_;
            if (__delim_)
                *__out_stream_ << __delim_;
            return *this;
        }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostream_iterator& operator*() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostream_iterator& operator++() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostream_iterator& operator++(int) {return *this;}
};

template<class _CharT, class _Traits>
class __attribute__ ((__type_visibility__("default"))) istreambuf_iterator
    : public iterator<input_iterator_tag, _CharT,
                      typename _Traits::off_type, _CharT*,
                      _CharT>
{
public:
    typedef _CharT char_type;
    typedef _Traits traits_type;
    typedef typename _Traits::int_type int_type;
    typedef basic_streambuf<_CharT,_Traits> streambuf_type;
    typedef basic_istream<_CharT,_Traits> istream_type;
private:
    mutable streambuf_type* __sbuf_;

    class __proxy
    {
        char_type __keep_;
        streambuf_type* __sbuf_;
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __proxy(char_type __c, streambuf_type* __s)
            : __keep_(__c), __sbuf_(__s) {}
        friend class istreambuf_iterator;
    public:
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) char_type operator*() const {return __keep_;}
    };

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool __test_for_eof() const
    {
        if (__sbuf_ && traits_type::eq_int_type(__sbuf_->sgetc(), traits_type::eof()))
            __sbuf_ = 0;
        return __sbuf_ == 0;
    }
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr istreambuf_iterator() noexcept : __sbuf_(0) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) istreambuf_iterator(istream_type& __s) noexcept
        : __sbuf_(__s.rdbuf()) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) istreambuf_iterator(streambuf_type* __s) noexcept
        : __sbuf_(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) istreambuf_iterator(const __proxy& __p) noexcept
        : __sbuf_(__p.__sbuf_) {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) char_type operator*() const
        {return static_cast<char_type>(__sbuf_->sgetc());}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) istreambuf_iterator& operator++()
        {
            __sbuf_->sbumpc();
            return *this;
        }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __proxy operator++(int)
        {
            return __proxy(__sbuf_->sbumpc(), __sbuf_);
        }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) bool equal(const istreambuf_iterator& __b) const
        {return __test_for_eof() == __b.__test_for_eof();}
};

template <class _CharT, class _Traits>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool operator==(const istreambuf_iterator<_CharT,_Traits>& __a,
                const istreambuf_iterator<_CharT,_Traits>& __b)
                {return __a.equal(__b);}

template <class _CharT, class _Traits>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool operator!=(const istreambuf_iterator<_CharT,_Traits>& __a,
                const istreambuf_iterator<_CharT,_Traits>& __b)
                {return !__a.equal(__b);}

template <class _CharT, class _Traits>
class __attribute__ ((__type_visibility__("default"))) ostreambuf_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
{
public:
    typedef _CharT char_type;
    typedef _Traits traits_type;
    typedef basic_streambuf<_CharT,_Traits> streambuf_type;
    typedef basic_ostream<_CharT,_Traits> ostream_type;
private:
    streambuf_type* __sbuf_;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostreambuf_iterator(ostream_type& __s) noexcept
        : __sbuf_(__s.rdbuf()) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostreambuf_iterator(streambuf_type* __s) noexcept
        : __sbuf_(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostreambuf_iterator& operator=(_CharT __c)
        {
            if (__sbuf_ && traits_type::eq_int_type(__sbuf_->sputc(__c), traits_type::eof()))
                __sbuf_ = 0;
            return *this;
        }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostreambuf_iterator& operator*() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostreambuf_iterator& operator++() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) ostreambuf_iterator& operator++(int) {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) bool failed() const noexcept {return __sbuf_ == 0;}





    template <class _Ch, class _Tr>
    friend
    __attribute__ ((__visibility__("hidden")))
    ostreambuf_iterator<_Ch, _Tr>
    __pad_and_output(ostreambuf_iterator<_Ch, _Tr> __s,
                     const _Ch* __ob, const _Ch* __op, const _Ch* __oe,
                     ios_base& __iob, _Ch __fl);

};

template <class _Iter>
class __attribute__ ((__type_visibility__("default"))) move_iterator
{
private:
    _Iter __i;
public:
    typedef _Iter iterator_type;
    typedef typename iterator_traits<iterator_type>::iterator_category iterator_category;
    typedef typename iterator_traits<iterator_type>::value_type value_type;
    typedef typename iterator_traits<iterator_type>::difference_type difference_type;
    typedef iterator_type pointer;

    typedef typename iterator_traits<iterator_type>::reference __reference;
    typedef typename conditional<
            is_reference<__reference>::value,
            typename remove_reference<__reference>::type&&,
            __reference
        >::type reference;




    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    move_iterator() : __i() {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    explicit move_iterator(_Iter __x) : __i(__x) {}
    template <class _Up>
      __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
      move_iterator(const move_iterator<_Up>& __u) : __i(__u.base()) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr _Iter base() const {return __i;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reference operator*() const { return static_cast<reference>(*__i); }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    pointer operator->() const { return __i;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    move_iterator& operator++() {++__i; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    move_iterator operator++(int) {move_iterator __tmp(*this); ++__i; return __tmp;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    move_iterator& operator--() {--__i; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    move_iterator operator--(int) {move_iterator __tmp(*this); --__i; return __tmp;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    move_iterator operator+ (difference_type __n) const {return move_iterator(__i + __n);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    move_iterator& operator+=(difference_type __n) {__i += __n; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    move_iterator operator- (difference_type __n) const {return move_iterator(__i - __n);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    move_iterator& operator-=(difference_type __n) {__i -= __n; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    reference operator[](difference_type __n) const { return static_cast<reference>(__i[__n]); }
};

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator==(const move_iterator<_Iter1>& __x, const move_iterator<_Iter2>& __y)
{
    return __x.base() == __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<(const move_iterator<_Iter1>& __x, const move_iterator<_Iter2>& __y)
{
    return __x.base() < __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator!=(const move_iterator<_Iter1>& __x, const move_iterator<_Iter2>& __y)
{
    return __x.base() != __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>(const move_iterator<_Iter1>& __x, const move_iterator<_Iter2>& __y)
{
    return __x.base() > __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>=(const move_iterator<_Iter1>& __x, const move_iterator<_Iter2>& __y)
{
    return __x.base() >= __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<=(const move_iterator<_Iter1>& __x, const move_iterator<_Iter2>& __y)
{
    return __x.base() <= __y.base();
}


template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto
operator-(const move_iterator<_Iter1>& __x, const move_iterator<_Iter2>& __y)
-> decltype(__x.base() - __y.base())
{
    return __x.base() - __y.base();
}
# 1217 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 3
template <class _Iter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
move_iterator<_Iter>
operator+(typename move_iterator<_Iter>::difference_type __n, const move_iterator<_Iter>& __x)
{
    return move_iterator<_Iter>(__x.base() + __n);
}

template <class _Iter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
move_iterator<_Iter>
make_move_iterator(_Iter __i)
{
    return move_iterator<_Iter>(__i);
}



template <class _Iter> class __wrap_iter;

template <class _Iter1, class _Iter2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator==(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

template <class _Iter1, class _Iter2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

template <class _Iter1, class _Iter2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator!=(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

template <class _Iter1, class _Iter2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

template <class _Iter1, class _Iter2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>=(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

template <class _Iter1, class _Iter2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<=(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;


template <class _Iter1, class _Iter2>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto
operator-(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter2>& __y) noexcept
-> decltype(__x.base() - __y.base());







template <class _Iter>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
__wrap_iter<_Iter>
operator+(typename __wrap_iter<_Iter>::difference_type, __wrap_iter<_Iter>) noexcept;

template <class _Ip, class _Op> _Op __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) copy(_Ip, _Ip, _Op);
template <class _B1, class _B2> _B2 __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) copy_backward(_B1, _B1, _B2);
template <class _Ip, class _Op> _Op __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) move(_Ip, _Ip, _Op);
template <class _B1, class _B2> _B2 __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) move_backward(_B1, _B1, _B2);



template <class _Tp>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if
<
    is_trivially_copy_assignable<_Tp>::value,
    _Tp*
>::type
__unwrap_iter(__wrap_iter<_Tp*>);
# 1314 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 3
template <class _Iter>
class __wrap_iter
{
public:
    typedef _Iter iterator_type;
    typedef typename iterator_traits<iterator_type>::iterator_category iterator_category;
    typedef typename iterator_traits<iterator_type>::value_type value_type;
    typedef typename iterator_traits<iterator_type>::difference_type difference_type;
    typedef typename iterator_traits<iterator_type>::pointer pointer;
    typedef typename iterator_traits<iterator_type>::reference reference;
private:
    iterator_type __i;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter() noexcept

                : __i{}

    {



    }
    template <class _Up> __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        __wrap_iter(const __wrap_iter<_Up>& __u,
            typename enable_if<is_convertible<_Up, iterator_type>::value>::type* = 0) noexcept
            : __i(__u.base())
    {



    }
# 1368 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 3
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr reference operator*() const noexcept
    {




        return *__i;
    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr pointer operator->() const noexcept
    {




        return (pointer)std::__1::addressof(*__i);
    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter& operator++() noexcept
    {




        ++__i;
        return *this;
    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter operator++(int) noexcept
        {__wrap_iter __tmp(*this); ++(*this); return __tmp;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter& operator--() noexcept
    {




        --__i;
        return *this;
    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter operator--(int) noexcept
        {__wrap_iter __tmp(*this); --(*this); return __tmp;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter operator+ (difference_type __n) const noexcept
        {__wrap_iter __w(*this); __w += __n; return __w;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter& operator+=(difference_type __n) noexcept
    {




        __i += __n;
        return *this;
    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter operator- (difference_type __n) const noexcept
        {return *this + (-__n);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter& operator-=(difference_type __n) noexcept
        {*this += -__n; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr reference operator[](difference_type __n) const noexcept
    {




        return __i[__n];
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr iterator_type base() const noexcept {return __i;}

private:






    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __wrap_iter(iterator_type __x) noexcept : __i(__x) {}


    template <class _Up> friend class __wrap_iter;
    template <class _CharT, class _Traits, class _Alloc> friend class basic_string;
    template <class _Tp, class _Alloc> friend class __attribute__ ((__type_visibility__("default"))) vector;
    template <class _Tp, ptrdiff_t> friend class __attribute__ ((__type_visibility__("default"))) span;

    template <class _Iter1, class _Iter2>
    constexpr friend
    bool
    operator==(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

    template <class _Iter1, class _Iter2>
    constexpr friend
    bool
    operator<(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

    template <class _Iter1, class _Iter2>
    constexpr friend
    bool
    operator!=(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

    template <class _Iter1, class _Iter2>
    constexpr friend
    bool
    operator>(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

    template <class _Iter1, class _Iter2>
    constexpr friend
    bool
    operator>=(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;

    template <class _Iter1, class _Iter2>
    constexpr friend
    bool
    operator<=(const __wrap_iter<_Iter1>&, const __wrap_iter<_Iter2>&) noexcept;


    template <class _Iter1, class _Iter2>
    constexpr friend
    auto
    operator-(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter2>& __y) noexcept
    -> decltype(__x.base() - __y.base());







    template <class _Iter1>
    constexpr friend
    __wrap_iter<_Iter1>
    operator+(typename __wrap_iter<_Iter1>::difference_type, __wrap_iter<_Iter1>) noexcept;

    template <class _Ip, class _Op> friend _Op copy(_Ip, _Ip, _Op);
    template <class _B1, class _B2> friend _B2 copy_backward(_B1, _B1, _B2);
    template <class _Ip, class _Op> friend _Op move(_Ip, _Ip, _Op);
    template <class _B1, class _B2> friend _B2 move_backward(_B1, _B1, _B2);


    template <class _Tp>
    constexpr friend
    typename enable_if
    <
        is_trivially_copy_assignable<_Tp>::value,
        _Tp*
    >::type
    __unwrap_iter(__wrap_iter<_Tp*>);
# 1520 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 3
};

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator==(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter2>& __y) noexcept
{
    return __x.base() == __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter2>& __y) noexcept
{




    return __x.base() < __y.base();
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator!=(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter2>& __y) noexcept
{
    return !(__x == __y);
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter2>& __y) noexcept
{
    return __y < __x;
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>=(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter2>& __y) noexcept
{
    return !(__x < __y);
}

template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<=(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter2>& __y) noexcept
{
    return !(__y < __x);
}

template <class _Iter1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator!=(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter1>& __y) noexcept
{
    return !(__x == __y);
}

template <class _Iter1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter1>& __y) noexcept
{
    return __y < __x;
}

template <class _Iter1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>=(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter1>& __y) noexcept
{
    return !(__x < __y);
}

template <class _Iter1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<=(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter1>& __y) noexcept
{
    return !(__y < __x);
}


template <class _Iter1, class _Iter2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto
operator-(const __wrap_iter<_Iter1>& __x, const __wrap_iter<_Iter2>& __y) noexcept
-> decltype(__x.base() - __y.base())
{




    return __x.base() - __y.base();
}
# 1633 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 3
template <class _Iter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
__wrap_iter<_Iter>
operator+(typename __wrap_iter<_Iter>::difference_type __n,
          __wrap_iter<_Iter> __x) noexcept
{
    __x += __n;
    return __x;
}

template <class _Iter>
struct __libcpp_is_trivial_iterator
    : public bool_constant<(is_pointer<_Iter>::value)> {};

template <class _Iter>
struct __libcpp_is_trivial_iterator<move_iterator<_Iter> >
    : public bool_constant<(__libcpp_is_trivial_iterator<_Iter>::value)> {};

template <class _Iter>
struct __libcpp_is_trivial_iterator<reverse_iterator<_Iter> >
    : public bool_constant<(__libcpp_is_trivial_iterator<_Iter>::value)> {};

template <class _Iter>
struct __libcpp_is_trivial_iterator<__wrap_iter<_Iter> >
    : public bool_constant<(__libcpp_is_trivial_iterator<_Iter>::value)> {};


template <class _Tp, size_t _Np>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp*
begin(_Tp (&__array)[_Np])
{
    return __array;
}

template <class _Tp, size_t _Np>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp*
end(_Tp (&__array)[_Np])
{
    return __array + _Np;
}



template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto
begin(_Cp& __c) -> decltype(__c.begin())
{
    return __c.begin();
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto
begin(const _Cp& __c) -> decltype(__c.begin())
{
    return __c.begin();
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto
end(_Cp& __c) -> decltype(__c.end())
{
    return __c.end();
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto
end(const _Cp& __c) -> decltype(__c.end())
{
    return __c.end();
}



template <class _Tp, size_t _Np>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
reverse_iterator<_Tp*> rbegin(_Tp (&__array)[_Np])
{
    return reverse_iterator<_Tp*>(__array + _Np);
}

template <class _Tp, size_t _Np>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
reverse_iterator<_Tp*> rend(_Tp (&__array)[_Np])
{
    return reverse_iterator<_Tp*>(__array);
}

template <class _Ep>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
reverse_iterator<const _Ep*> rbegin(initializer_list<_Ep> __il)
{
    return reverse_iterator<const _Ep*>(__il.end());
}

template <class _Ep>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
reverse_iterator<const _Ep*> rend(initializer_list<_Ep> __il)
{
    return reverse_iterator<const _Ep*>(__il.begin());
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto cbegin(const _Cp& __c) -> decltype(std::__1::begin(__c))
{
    return std::__1::begin(__c);
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto cend(const _Cp& __c) -> decltype(std::__1::end(__c))
{
    return std::__1::end(__c);
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto rbegin(_Cp& __c) -> decltype(__c.rbegin())
{
    return __c.rbegin();
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto rbegin(const _Cp& __c) -> decltype(__c.rbegin())
{
    return __c.rbegin();
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto rend(_Cp& __c) -> decltype(__c.rend())
{
    return __c.rend();
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto rend(const _Cp& __c) -> decltype(__c.rend())
{
    return __c.rend();
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto crbegin(const _Cp& __c) -> decltype(std::__1::rbegin(__c))
{
    return std::__1::rbegin(__c);
}

template <class _Cp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
auto crend(const _Cp& __c) -> decltype(std::__1::rend(__c))
{
    return std::__1::rend(__c);
}
# 1851 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/iterator" 3
template <class _Cont>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr auto size(const _Cont& __c)
noexcept(noexcept(__c.size()))
-> decltype (__c.size())
{ return __c.size(); }

template <class _Tp, size_t _Sz>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr size_t size(const _Tp (&)[_Sz]) noexcept { return _Sz; }

template <class _Cont>
                              inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr auto empty(const _Cont& __c)
noexcept(noexcept(__c.empty()))
-> decltype (__c.empty())
{ return __c.empty(); }

template <class _Tp, size_t _Sz>
                              inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr bool empty(const _Tp (&)[_Sz]) noexcept { return false; }

template <class _Ep>
                              inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr bool empty(initializer_list<_Ep> __il) noexcept { return __il.size() == 0; }

template <class _Cont> constexpr
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
auto data(_Cont& __c)
noexcept(noexcept(__c.data()))
-> decltype (__c.data())
{ return __c.data(); }

template <class _Cont> constexpr
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
auto data(const _Cont& __c)
noexcept(noexcept(__c.data()))
-> decltype (__c.data())
{ return __c.data(); }

template <class _Tp, size_t _Sz>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _Tp* data(_Tp (&__array)[_Sz]) noexcept { return __array; }

template <class _Ep>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr const _Ep* data(initializer_list<_Ep> __il) noexcept { return __il.begin(); }



} }
# 661 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 2 3


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/tuple" 1 3
# 138 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/tuple" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 139 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/tuple" 2 3
# 148 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/tuple" 3


namespace std { inline namespace __1 {






template <size_t _Ip, class _Hp,
          bool=is_empty<_Hp>::value && !__libcpp_is_final<_Hp>::value
         >
class __tuple_leaf;

template <size_t _Ip, class _Hp, bool _Ep>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void swap(__tuple_leaf<_Ip, _Hp, _Ep>& __x, __tuple_leaf<_Ip, _Hp, _Ep>& __y)
    noexcept(__is_nothrow_swappable<_Hp>::value)
{
    swap(__x.get(), __y.get());
}

template <size_t _Ip, class _Hp, bool>
class __tuple_leaf
{
    _Hp __value_;

    template <class _Tp>
    static constexpr bool __can_bind_reference() {

      return !__reference_binds_to_temporary(_Hp, _Tp);



    }

    __tuple_leaf& operator=(const __tuple_leaf&);
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __tuple_leaf()
             noexcept(is_nothrow_default_constructible<_Hp>::value) : __value_()
       {static_assert(!is_reference<_Hp>::value,
              "Attempted to default construct a reference element in a tuple");}

    template <class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __tuple_leaf(integral_constant<int, 0>, const _Alloc&)
            : __value_()
        {static_assert(!is_reference<_Hp>::value,
              "Attempted to default construct a reference element in a tuple");}

    template <class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __tuple_leaf(integral_constant<int, 1>, const _Alloc& __a)
            : __value_(allocator_arg_t(), __a)
        {static_assert(!is_reference<_Hp>::value,
              "Attempted to default construct a reference element in a tuple");}

    template <class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __tuple_leaf(integral_constant<int, 2>, const _Alloc& __a)
            : __value_(__a)
        {static_assert(!is_reference<_Hp>::value,
              "Attempted to default construct a reference element in a tuple");}

    template <class _Tp,
              class = typename enable_if<
                  __lazy_and<
                      __lazy_not<is_same<typename __uncvref<_Tp>::type, __tuple_leaf>>
                    , is_constructible<_Hp, _Tp>
                    >::value
                >::type
            >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        explicit __tuple_leaf(_Tp&& __t) noexcept((is_nothrow_constructible<_Hp, _Tp>::value))
            : __value_(std::__1::forward<_Tp>(__t))
        {static_assert(__can_bind_reference<_Tp&&>(),
       "Attempted construction of reference element binds to a temporary whose lifetime has ended");}

    template <class _Tp, class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        explicit __tuple_leaf(integral_constant<int, 0>, const _Alloc&, _Tp&& __t)
            : __value_(std::__1::forward<_Tp>(__t))
        {static_assert(__can_bind_reference<_Tp&&>(),
       "Attempted construction of reference element binds to a temporary whose lifetime has ended");}

    template <class _Tp, class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        explicit __tuple_leaf(integral_constant<int, 1>, const _Alloc& __a, _Tp&& __t)
            : __value_(allocator_arg_t(), __a, std::__1::forward<_Tp>(__t))
        {static_assert(!is_reference<_Hp>::value,
            "Attempted to uses-allocator construct a reference element in a tuple");}

    template <class _Tp, class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        explicit __tuple_leaf(integral_constant<int, 2>, const _Alloc& __a, _Tp&& __t)
            : __value_(std::__1::forward<_Tp>(__t), __a)
        {static_assert(!is_reference<_Hp>::value,
           "Attempted to uses-allocator construct a reference element in a tuple");}

    __tuple_leaf(const __tuple_leaf& __t) = default;
    __tuple_leaf(__tuple_leaf&& __t) = default;

    template <class _Tp>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __tuple_leaf&
        operator=(_Tp&& __t) noexcept((is_nothrow_assignable<_Hp&, _Tp>::value))
        {
            __value_ = std::__1::forward<_Tp>(__t);
            return *this;
        }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    int swap(__tuple_leaf& __t) noexcept(__is_nothrow_swappable<__tuple_leaf>::value)
    {
        std::__1::swap(*this, __t);
        return 0;
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr _Hp& get() noexcept {return __value_;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr const _Hp& get() const noexcept {return __value_;}
};

template <size_t _Ip, class _Hp>
class __tuple_leaf<_Ip, _Hp, true>
    : private _Hp
{

    __tuple_leaf& operator=(const __tuple_leaf&);
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __tuple_leaf()
             noexcept(is_nothrow_default_constructible<_Hp>::value) {}

    template <class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __tuple_leaf(integral_constant<int, 0>, const _Alloc&) {}

    template <class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __tuple_leaf(integral_constant<int, 1>, const _Alloc& __a)
            : _Hp(allocator_arg_t(), __a) {}

    template <class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __tuple_leaf(integral_constant<int, 2>, const _Alloc& __a)
            : _Hp(__a) {}

    template <class _Tp,
              class = typename enable_if<
                  __lazy_and<
                        __lazy_not<is_same<typename __uncvref<_Tp>::type, __tuple_leaf>>
                      , is_constructible<_Hp, _Tp>
                    >::value
                >::type
            >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        explicit __tuple_leaf(_Tp&& __t) noexcept((is_nothrow_constructible<_Hp, _Tp>::value))
            : _Hp(std::__1::forward<_Tp>(__t)) {}

    template <class _Tp, class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        explicit __tuple_leaf(integral_constant<int, 0>, const _Alloc&, _Tp&& __t)
            : _Hp(std::__1::forward<_Tp>(__t)) {}

    template <class _Tp, class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        explicit __tuple_leaf(integral_constant<int, 1>, const _Alloc& __a, _Tp&& __t)
            : _Hp(allocator_arg_t(), __a, std::__1::forward<_Tp>(__t)) {}

    template <class _Tp, class _Alloc>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        explicit __tuple_leaf(integral_constant<int, 2>, const _Alloc& __a, _Tp&& __t)
            : _Hp(std::__1::forward<_Tp>(__t), __a) {}

    __tuple_leaf(__tuple_leaf const &) = default;
    __tuple_leaf(__tuple_leaf &&) = default;

    template <class _Tp>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __tuple_leaf&
        operator=(_Tp&& __t) noexcept((is_nothrow_assignable<_Hp&, _Tp>::value))
        {
            _Hp::operator=(std::__1::forward<_Tp>(__t));
            return *this;
        }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    int
    swap(__tuple_leaf& __t) noexcept(__is_nothrow_swappable<__tuple_leaf>::value)
    {
        std::__1::swap(*this, __t);
        return 0;
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr _Hp& get() noexcept {return static_cast<_Hp&>(*this);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr const _Hp& get() const noexcept {return static_cast<const _Hp&>(*this);}
};

template <class ..._Tp>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __swallow(_Tp&&...) noexcept {}

template <class ..._Tp>
struct __lazy_all : __all<_Tp::value...> {};

template <class _Tp>
struct __all_default_constructible;

template <class ..._Tp>
struct __all_default_constructible<__tuple_types<_Tp...>>
    : __all<is_default_constructible<_Tp>::value...>
{ };



template<class _Indx, class ..._Tp> struct __tuple_impl;

template<size_t ..._Indx, class ..._Tp>
struct __tuple_impl<__tuple_indices<_Indx...>, _Tp...>
    : public __tuple_leaf<_Indx, _Tp>...
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr __tuple_impl()
        noexcept(__all<is_nothrow_default_constructible<_Tp>::value...>::value) {}

    template <size_t ..._Uf, class ..._Tf,
              size_t ..._Ul, class ..._Tl, class ..._Up>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        explicit
        __tuple_impl(__tuple_indices<_Uf...>, __tuple_types<_Tf...>,
                     __tuple_indices<_Ul...>, __tuple_types<_Tl...>,
                     _Up&&... __u)
                     noexcept((__all<is_nothrow_constructible<_Tf, _Up>::value...>::value && __all<is_nothrow_default_constructible<_Tl>::value...>::value)) :

            __tuple_leaf<_Uf, _Tf>(std::__1::forward<_Up>(__u))...,
            __tuple_leaf<_Ul, _Tl>()...
            {}

    template <class _Alloc, size_t ..._Uf, class ..._Tf,
              size_t ..._Ul, class ..._Tl, class ..._Up>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        explicit
        __tuple_impl(allocator_arg_t, const _Alloc& __a,
                     __tuple_indices<_Uf...>, __tuple_types<_Tf...>,
                     __tuple_indices<_Ul...>, __tuple_types<_Tl...>,
                     _Up&&... __u) :
            __tuple_leaf<_Uf, _Tf>(__uses_alloc_ctor<_Tf, _Alloc, _Up>(), __a,
            std::__1::forward<_Up>(__u))...,
            __tuple_leaf<_Ul, _Tl>(__uses_alloc_ctor<_Tl, _Alloc>(), __a)...
            {}

    template <class _Tuple,
              class = typename enable_if
                      <
                         __tuple_constructible<_Tuple, tuple<_Tp...> >::value
                      >::type
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        __tuple_impl(_Tuple&& __t) noexcept((__all<is_nothrow_constructible<_Tp, typename tuple_element<_Indx, typename __make_tuple_types<_Tuple>::type>::type>::value...>::value))

            : __tuple_leaf<_Indx, _Tp>(std::__1::forward<typename tuple_element<_Indx,
                                       typename __make_tuple_types<_Tuple>::type>::type>(std::__1::get<_Indx>(__t)))...
            {}

    template <class _Alloc, class _Tuple,
              class = typename enable_if
                      <
                         __tuple_constructible<_Tuple, tuple<_Tp...> >::value
                      >::type
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __tuple_impl(allocator_arg_t, const _Alloc& __a, _Tuple&& __t)
            : __tuple_leaf<_Indx, _Tp>(__uses_alloc_ctor<_Tp, _Alloc, typename tuple_element<_Indx,
                                       typename __make_tuple_types<_Tuple>::type>::type>(), __a,
                                       std::__1::forward<typename tuple_element<_Indx,
                                       typename __make_tuple_types<_Tuple>::type>::type>(std::__1::get<_Indx>(__t)))...
            {}

    template <class _Tuple>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        typename enable_if
        <
            __tuple_assignable<_Tuple, tuple<_Tp...> >::value,
            __tuple_impl&
        >::type
        operator=(_Tuple&& __t) noexcept((__all<is_nothrow_assignable<_Tp&, typename tuple_element<_Indx, typename __make_tuple_types<_Tuple>::type>::type>::value...>::value))

        {
            __swallow(__tuple_leaf<_Indx, _Tp>::operator=(std::__1::forward<typename tuple_element<_Indx,
                                       typename __make_tuple_types<_Tuple>::type>::type>(std::__1::get<_Indx>(__t)))...);
            return *this;
        }

    __tuple_impl(const __tuple_impl&) = default;
    __tuple_impl(__tuple_impl&&) = default;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __tuple_impl&
    operator=(const __tuple_impl& __t) noexcept((__all<is_nothrow_copy_assignable<_Tp>::value...>::value))
    {
        __swallow(__tuple_leaf<_Indx, _Tp>::operator=(static_cast<const __tuple_leaf<_Indx, _Tp>&>(__t).get())...);
        return *this;
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __tuple_impl&
    operator=(__tuple_impl&& __t) noexcept((__all<is_nothrow_move_assignable<_Tp>::value...>::value))
    {
        __swallow(__tuple_leaf<_Indx, _Tp>::operator=(std::__1::forward<_Tp>(static_cast<__tuple_leaf<_Indx, _Tp>&>(__t).get()))...);
        return *this;
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void swap(__tuple_impl& __t)
        noexcept(__all<__is_nothrow_swappable<_Tp>::value...>::value)
    {
        __swallow(__tuple_leaf<_Indx, _Tp>::swap(static_cast<__tuple_leaf<_Indx, _Tp>&>(__t))...);
    }
};



template <class ..._Tp>
class __attribute__ ((__type_visibility__("default"))) tuple
{
    typedef __tuple_impl<typename __make_tuple_indices<sizeof...(_Tp)>::type, _Tp...> _BaseT;

    _BaseT __base_;




    static constexpr bool _EnableImplicitReducedArityExtension = false;


    template <class ..._Args>
    struct _PackExpandsToThisTuple : false_type {};

    template <class _Arg>
    struct _PackExpandsToThisTuple<_Arg>
        : is_same<typename __uncvref<_Arg>::type, tuple> {};

    template <bool _MaybeEnable, class _Dummy = void>
    struct _CheckArgsConstructor : __check_tuple_constructor_fail {};

    template <class _Dummy>
    struct _CheckArgsConstructor<true, _Dummy>
    {
        template <class ..._Args>
        static constexpr bool __enable_default() {
            return __all<is_default_constructible<_Args>::value...>::value;
        }

        template <class ..._Args>
        static constexpr bool __enable_explicit() {
            return
                __tuple_constructible<
                    tuple<_Args...>,
                    typename __make_tuple_types<tuple,
                             sizeof...(_Args) < sizeof...(_Tp) ?
                                 sizeof...(_Args) :
                                 sizeof...(_Tp)>::type
                >::value &&
                !__tuple_convertible<
                    tuple<_Args...>,
                    typename __make_tuple_types<tuple,
                             sizeof...(_Args) < sizeof...(_Tp) ?
                                 sizeof...(_Args) :
                                 sizeof...(_Tp)>::type
                >::value &&
                __all_default_constructible<
                    typename __make_tuple_types<tuple, sizeof...(_Tp),
                             sizeof...(_Args) < sizeof...(_Tp) ?
                                 sizeof...(_Args) :
                                 sizeof...(_Tp)>::type
                >::value;
        }

        template <class ..._Args>
        static constexpr bool __enable_implicit() {
            return
                __tuple_convertible<
                    tuple<_Args...>,
                    typename __make_tuple_types<tuple,
                             sizeof...(_Args) < sizeof...(_Tp) ?
                                 sizeof...(_Args) :
                                 sizeof...(_Tp)>::type
                >::value &&
                __all_default_constructible<
                    typename __make_tuple_types<tuple, sizeof...(_Tp),
                             sizeof...(_Args) < sizeof...(_Tp) ?
                                 sizeof...(_Args) :
                                 sizeof...(_Tp)>::type
                >::value;
        }
    };

    template <bool _MaybeEnable,
              bool = sizeof...(_Tp) == 1,
              class _Dummy = void>
    struct _CheckTupleLikeConstructor : __check_tuple_constructor_fail {};

    template <class _Dummy>
    struct _CheckTupleLikeConstructor<true, false, _Dummy>
    {
        template <class _Tuple>
        static constexpr bool __enable_implicit() {
            return __tuple_convertible<_Tuple, tuple>::value;
        }

        template <class _Tuple>
        static constexpr bool __enable_explicit() {
            return __tuple_constructible<_Tuple, tuple>::value
               && !__tuple_convertible<_Tuple, tuple>::value;
        }
    };

    template <class _Dummy>
    struct _CheckTupleLikeConstructor<true, true, _Dummy>
    {



        template <class _Tuple>
        using _PreferTupleLikeConstructor = __lazy_or<


            is_same<typename __uncvref<_Tuple>::type, tuple>,
            __lazy_and<
                __lazy_not<is_constructible<_Tp..., _Tuple>>,
                __lazy_not<is_convertible<_Tuple, _Tp...>>
            >
        >;

        template <class _Tuple>
        static constexpr bool __enable_implicit() {
            return __lazy_and<
                __tuple_convertible<_Tuple, tuple>,
                _PreferTupleLikeConstructor<_Tuple>
            >::value;
        }

        template <class _Tuple>
        static constexpr bool __enable_explicit() {
            return __lazy_and<
                __tuple_constructible<_Tuple, tuple>,
                _PreferTupleLikeConstructor<_Tuple>,
                __lazy_not<__tuple_convertible<_Tuple, tuple>>
            >::value;
        }
    };

    template <size_t _Jp, class ..._Up> friend constexpr
        typename tuple_element<_Jp, tuple<_Up...> >::type& get(tuple<_Up...>&) noexcept;
    template <size_t _Jp, class ..._Up> friend constexpr
        const typename tuple_element<_Jp, tuple<_Up...> >::type& get(const tuple<_Up...>&) noexcept;
    template <size_t _Jp, class ..._Up> friend constexpr
        typename tuple_element<_Jp, tuple<_Up...> >::type&& get(tuple<_Up...>&&) noexcept;
    template <size_t _Jp, class ..._Up> friend constexpr
        const typename tuple_element<_Jp, tuple<_Up...> >::type&& get(const tuple<_Up...>&&) noexcept;
public:

    template <bool _Dummy = true, class = typename enable_if<
        _CheckArgsConstructor<_Dummy>::template __enable_default<_Tp...>()
    >::type>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr tuple()
        noexcept(__all<is_nothrow_default_constructible<_Tp>::value...>::value) {}

    tuple(tuple const&) = default;
    tuple(tuple&&) = default;

    template <class _AllocArgT, class _Alloc, bool _Dummy = true, class = typename enable_if<
        __lazy_and<
            is_same<allocator_arg_t, _AllocArgT>,
            __lazy_all<__dependent_type<is_default_constructible<_Tp>, _Dummy>...>
       >::value
    >::type>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    tuple(_AllocArgT, _Alloc const& __a)
      : __base_(allocator_arg_t(), __a,
                    __tuple_indices<>(), __tuple_types<>(),
                    typename __make_tuple_indices<sizeof...(_Tp), 0>::type(),
                    __tuple_types<_Tp...>()) {}

    template <bool _Dummy = true,
              typename enable_if
                      <
                         _CheckArgsConstructor<
                            _Dummy
                         >::template __enable_implicit<_Tp const&...>(),
                         bool
                      >::type = false
        >
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    tuple(const _Tp& ... __t) noexcept((__all<is_nothrow_copy_constructible<_Tp>::value...>::value))
        : __base_(typename __make_tuple_indices<sizeof...(_Tp)>::type(),
                typename __make_tuple_types<tuple, sizeof...(_Tp)>::type(),
                typename __make_tuple_indices<0>::type(),
                typename __make_tuple_types<tuple, 0>::type(),
                __t...
               ) {}

    template <bool _Dummy = true,
              typename enable_if
                      <
                         _CheckArgsConstructor<
                            _Dummy
                         >::template __enable_explicit<_Tp const&...>(),
                         bool
                      >::type = false
        >
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    explicit tuple(const _Tp& ... __t) noexcept((__all<is_nothrow_copy_constructible<_Tp>::value...>::value))
        : __base_(typename __make_tuple_indices<sizeof...(_Tp)>::type(),
                typename __make_tuple_types<tuple, sizeof...(_Tp)>::type(),
                typename __make_tuple_indices<0>::type(),
                typename __make_tuple_types<tuple, 0>::type(),
                __t...
               ) {}

    template <class _Alloc, bool _Dummy = true,
              typename enable_if
                      <
                         _CheckArgsConstructor<
                            _Dummy
                         >::template __enable_implicit<_Tp const&...>(),
                         bool
                      >::type = false
        >
      __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
      tuple(allocator_arg_t, const _Alloc& __a, const _Tp& ... __t)
        : __base_(allocator_arg_t(), __a,
                typename __make_tuple_indices<sizeof...(_Tp)>::type(),
                typename __make_tuple_types<tuple, sizeof...(_Tp)>::type(),
                typename __make_tuple_indices<0>::type(),
                typename __make_tuple_types<tuple, 0>::type(),
                __t...
               ) {}

    template <class _Alloc, bool _Dummy = true,
              typename enable_if
                      <
                         _CheckArgsConstructor<
                            _Dummy
                         >::template __enable_explicit<_Tp const&...>(),
                         bool
                      >::type = false
        >
      __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
      explicit
      tuple(allocator_arg_t, const _Alloc& __a, const _Tp& ... __t)
        : __base_(allocator_arg_t(), __a,
                typename __make_tuple_indices<sizeof...(_Tp)>::type(),
                typename __make_tuple_types<tuple, sizeof...(_Tp)>::type(),
                typename __make_tuple_indices<0>::type(),
                typename __make_tuple_types<tuple, 0>::type(),
                __t...
               ) {}

    template <class ..._Up,
              bool _PackIsTuple = _PackExpandsToThisTuple<_Up...>::value,
              typename enable_if
                      <
                         _CheckArgsConstructor<
                             sizeof...(_Up) == sizeof...(_Tp)
                             && !_PackIsTuple
                         >::template __enable_implicit<_Up...>() ||
                        _CheckArgsConstructor<
                            _EnableImplicitReducedArityExtension
                            && sizeof...(_Up) < sizeof...(_Tp)
                            && !_PackIsTuple
                         >::template __enable_implicit<_Up...>(),
                         bool
                      >::type = false
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        tuple(_Up&&... __u)
            noexcept(( is_nothrow_constructible<_BaseT, typename __make_tuple_indices<sizeof...(_Up)>::type, typename __make_tuple_types<tuple, sizeof...(_Up)>::type, typename __make_tuple_indices<sizeof...(_Tp), sizeof...(_Up)>::type, typename __make_tuple_types<tuple, sizeof...(_Tp), sizeof...(_Up)>::type, _Up... >::value ))
# 734 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/tuple" 3
            : __base_(typename __make_tuple_indices<sizeof...(_Up)>::type(),
                    typename __make_tuple_types<tuple, sizeof...(_Up)>::type(),
                    typename __make_tuple_indices<sizeof...(_Tp), sizeof...(_Up)>::type(),
                    typename __make_tuple_types<tuple, sizeof...(_Tp), sizeof...(_Up)>::type(),
                    std::__1::forward<_Up>(__u)...) {}

    template <class ..._Up,
              typename enable_if
                      <
                         _CheckArgsConstructor<
                             sizeof...(_Up) <= sizeof...(_Tp)
                             && !_PackExpandsToThisTuple<_Up...>::value
                         >::template __enable_explicit<_Up...>() ||
                         _CheckArgsConstructor<
                            !_EnableImplicitReducedArityExtension
                            && sizeof...(_Up) < sizeof...(_Tp)
                            && !_PackExpandsToThisTuple<_Up...>::value
                         >::template __enable_implicit<_Up...>(),
                         bool
                      >::type = false
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        explicit
        tuple(_Up&&... __u)
            noexcept(( is_nothrow_constructible<_BaseT, typename __make_tuple_indices<sizeof...(_Up)>::type, typename __make_tuple_types<tuple, sizeof...(_Up)>::type, typename __make_tuple_indices<sizeof...(_Tp), sizeof...(_Up)>::type, typename __make_tuple_types<tuple, sizeof...(_Tp), sizeof...(_Up)>::type, _Up... >::value ))
# 767 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/tuple" 3
            : __base_(typename __make_tuple_indices<sizeof...(_Up)>::type(),
                    typename __make_tuple_types<tuple, sizeof...(_Up)>::type(),
                    typename __make_tuple_indices<sizeof...(_Tp), sizeof...(_Up)>::type(),
                    typename __make_tuple_types<tuple, sizeof...(_Tp), sizeof...(_Up)>::type(),
                    std::__1::forward<_Up>(__u)...) {}

    template <class _Alloc, class ..._Up,
              typename enable_if
                      <
                         _CheckArgsConstructor<
                             sizeof...(_Up) == sizeof...(_Tp) &&
                             !_PackExpandsToThisTuple<_Up...>::value
                         >::template __enable_implicit<_Up...>(),
                         bool
                      >::type = false
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        tuple(allocator_arg_t, const _Alloc& __a, _Up&&... __u)
            : __base_(allocator_arg_t(), __a,
                    typename __make_tuple_indices<sizeof...(_Up)>::type(),
                    typename __make_tuple_types<tuple, sizeof...(_Up)>::type(),
                    typename __make_tuple_indices<sizeof...(_Tp), sizeof...(_Up)>::type(),
                    typename __make_tuple_types<tuple, sizeof...(_Tp), sizeof...(_Up)>::type(),
                    std::__1::forward<_Up>(__u)...) {}

    template <class _Alloc, class ..._Up,
              typename enable_if
                      <
                         _CheckArgsConstructor<
                             sizeof...(_Up) == sizeof...(_Tp) &&
                             !_PackExpandsToThisTuple<_Up...>::value
                         >::template __enable_explicit<_Up...>(),
                         bool
                      >::type = false
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        explicit
        tuple(allocator_arg_t, const _Alloc& __a, _Up&&... __u)
            : __base_(allocator_arg_t(), __a,
                    typename __make_tuple_indices<sizeof...(_Up)>::type(),
                    typename __make_tuple_types<tuple, sizeof...(_Up)>::type(),
                    typename __make_tuple_indices<sizeof...(_Tp), sizeof...(_Up)>::type(),
                    typename __make_tuple_types<tuple, sizeof...(_Tp), sizeof...(_Up)>::type(),
                    std::__1::forward<_Up>(__u)...) {}

    template <class _Tuple,
              typename enable_if
                      <
                         _CheckTupleLikeConstructor<
                             __tuple_like_with_size<_Tuple, sizeof...(_Tp)>::value
                             && !_PackExpandsToThisTuple<_Tuple>::value
                         >::template __enable_implicit<_Tuple>(),
                         bool
                      >::type = false
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        tuple(_Tuple&& __t) noexcept((is_nothrow_constructible<_BaseT, _Tuple>::value))
            : __base_(std::__1::forward<_Tuple>(__t)) {}

    template <class _Tuple,
              typename enable_if
                      <
                         _CheckTupleLikeConstructor<
                             __tuple_like_with_size<_Tuple, sizeof...(_Tp)>::value
                             && !_PackExpandsToThisTuple<_Tuple>::value
                         >::template __enable_explicit<_Tuple>(),
                         bool
                      >::type = false
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        explicit
        tuple(_Tuple&& __t) noexcept((is_nothrow_constructible<_BaseT, _Tuple>::value))
            : __base_(std::__1::forward<_Tuple>(__t)) {}

    template <class _Alloc, class _Tuple,
              typename enable_if
                      <
                         _CheckTupleLikeConstructor<
                             __tuple_like_with_size<_Tuple, sizeof...(_Tp)>::value
                         >::template __enable_implicit<_Tuple>(),
                         bool
                      >::type = false
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        tuple(allocator_arg_t, const _Alloc& __a, _Tuple&& __t)
            : __base_(allocator_arg_t(), __a, std::__1::forward<_Tuple>(__t)) {}

    template <class _Alloc, class _Tuple,
              typename enable_if
                      <
                         _CheckTupleLikeConstructor<
                             __tuple_like_with_size<_Tuple, sizeof...(_Tp)>::value
                         >::template __enable_explicit<_Tuple>(),
                         bool
                      >::type = false
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        explicit
        tuple(allocator_arg_t, const _Alloc& __a, _Tuple&& __t)
            : __base_(allocator_arg_t(), __a, std::__1::forward<_Tuple>(__t)) {}

    using _CanCopyAssign = __all<is_copy_assignable<_Tp>::value...>;
    using _CanMoveAssign = __all<is_move_assignable<_Tp>::value...>;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    tuple& operator=(typename conditional<_CanCopyAssign::value, tuple, __nat>::type const& __t)
        noexcept((__all<is_nothrow_copy_assignable<_Tp>::value...>::value))
    {
        __base_.operator=(__t.__base_);
        return *this;
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    tuple& operator=(typename conditional<_CanMoveAssign::value, tuple, __nat>::type&& __t)
        noexcept((__all<is_nothrow_move_assignable<_Tp>::value...>::value))
    {
        __base_.operator=(static_cast<_BaseT&&>(__t.__base_));
        return *this;
    }

    template <class _Tuple,
              class = typename enable_if
                      <
                         __tuple_assignable<_Tuple, tuple>::value
                      >::type
             >
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        tuple&
        operator=(_Tuple&& __t) noexcept((is_nothrow_assignable<_BaseT&, _Tuple>::value))
        {
            __base_.operator=(std::__1::forward<_Tuple>(__t));
            return *this;
        }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void swap(tuple& __t) noexcept(__all<__is_nothrow_swappable<_Tp>::value...>::value)
        {__base_.swap(__t.__base_);}
};

template <>
class __attribute__ ((__type_visibility__("default"))) tuple<>
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr tuple() noexcept {}
    template <class _Alloc>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        tuple(allocator_arg_t, const _Alloc&) noexcept {}
    template <class _Alloc>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        tuple(allocator_arg_t, const _Alloc&, const tuple&) noexcept {}
    template <class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        tuple(array<_Up, 0>) noexcept {}
    template <class _Alloc, class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        tuple(allocator_arg_t, const _Alloc&, array<_Up, 0>) noexcept {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void swap(tuple&) noexcept {}
};





template <class _Alloc, class ..._Args>
tuple(allocator_arg_t, const _Alloc&, tuple<_Args...> const&) -> tuple<_Args...>;
template <class _Alloc, class ..._Args>
tuple(allocator_arg_t, const _Alloc&, tuple<_Args...>&&) -> tuple<_Args...>;


template <class ..._Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    __all<__is_swappable<_Tp>::value...>::value,
    void
>::type
swap(tuple<_Tp...>& __t, tuple<_Tp...>& __u)
                 noexcept(__all<__is_nothrow_swappable<_Tp>::value...>::value)
    {__t.swap(__u);}



template <size_t _Ip, class ..._Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename tuple_element<_Ip, tuple<_Tp...> >::type&
get(tuple<_Tp...>& __t) noexcept
{
    typedef typename tuple_element<_Ip, tuple<_Tp...> >::type type;
    return static_cast<__tuple_leaf<_Ip, type>&>(__t.__base_).get();
}

template <size_t _Ip, class ..._Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const typename tuple_element<_Ip, tuple<_Tp...> >::type&
get(const tuple<_Tp...>& __t) noexcept
{
    typedef typename tuple_element<_Ip, tuple<_Tp...> >::type type;
    return static_cast<const __tuple_leaf<_Ip, type>&>(__t.__base_).get();
}

template <size_t _Ip, class ..._Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename tuple_element<_Ip, tuple<_Tp...> >::type&&
get(tuple<_Tp...>&& __t) noexcept
{
    typedef typename tuple_element<_Ip, tuple<_Tp...> >::type type;
    return static_cast<type&&>(
             static_cast<__tuple_leaf<_Ip, type>&&>(__t.__base_).get());
}

template <size_t _Ip, class ..._Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const typename tuple_element<_Ip, tuple<_Tp...> >::type&&
get(const tuple<_Tp...>&& __t) noexcept
{
    typedef typename tuple_element<_Ip, tuple<_Tp...> >::type type;
    return static_cast<const type&&>(
             static_cast<const __tuple_leaf<_Ip, type>&&>(__t.__base_).get());
}



namespace __find_detail {

static constexpr size_t __not_found = -1;
static constexpr size_t __ambiguous = __not_found - 1;

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr size_t __find_idx_return(size_t __curr_i, size_t __res, bool __matches) {
    return !__matches ? __res :
        (__res == __not_found ? __curr_i : __ambiguous);
}

template <size_t _Nx>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr size_t __find_idx(size_t __i, const bool (&__matches)[_Nx]) {
  return __i == _Nx ? __not_found :
      __find_idx_return(__i, __find_idx(__i + 1, __matches), __matches[__i]);
}

template <class _T1, class ..._Args>
struct __find_exactly_one_checked {
    static constexpr bool __matches[sizeof...(_Args)] = {is_same<_T1, _Args>::value...};
    static constexpr size_t value = __find_detail::__find_idx(0, __matches);
    static_assert(value != __not_found, "type not found in type list" );
    static_assert(value != __ambiguous, "type occurs more than once in type list");
};

template <class _T1>
struct __find_exactly_one_checked<_T1> {
    static_assert(!is_same<_T1, _T1>::value, "type not in empty type list");
};

}

template <typename _T1, typename... _Args>
struct __find_exactly_one_t
    : public __find_detail::__find_exactly_one_checked<_T1, _Args...> {
};

template <class _T1, class... _Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1& get(tuple<_Args...>& __tup) noexcept
{
    return std::__1::get<__find_exactly_one_t<_T1, _Args...>::value>(__tup);
}

template <class _T1, class... _Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 const& get(tuple<_Args...> const& __tup) noexcept
{
    return std::__1::get<__find_exactly_one_t<_T1, _Args...>::value>(__tup);
}

template <class _T1, class... _Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1&& get(tuple<_Args...>&& __tup) noexcept
{
    return std::__1::get<__find_exactly_one_t<_T1, _Args...>::value>(std::__1::move(__tup));
}

template <class _T1, class... _Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _T1 const&& get(tuple<_Args...> const&& __tup) noexcept
{
    return std::__1::get<__find_exactly_one_t<_T1, _Args...>::value>(std::__1::move(__tup));
}





template <class ..._Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
tuple<_Tp&...>
tie(_Tp&... __t) noexcept
{
    return tuple<_Tp&...>(__t...);
}

template <class _Up>
struct __ignore_t
{
    template <class _Tp>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    const __ignore_t& operator=(_Tp&&) const {return *this;}
};

namespace {
  inline constexpr __ignore_t<unsigned char> ignore = __ignore_t<unsigned char>();
}

template <class... _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
tuple<typename __unwrap_ref_decay<_Tp>::type...>
make_tuple(_Tp&&... __t)
{
    return tuple<typename __unwrap_ref_decay<_Tp>::type...>(std::__1::forward<_Tp>(__t)...);
}

template <class... _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
tuple<_Tp&&...>
forward_as_tuple(_Tp&&... __t) noexcept
{
    return tuple<_Tp&&...>(std::__1::forward<_Tp>(__t)...);
}

template <size_t _Ip>
struct __tuple_equal
{
    template <class _Tp, class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _Tp& __x, const _Up& __y)
    {
        return __tuple_equal<_Ip - 1>()(__x, __y) && std::__1::get<_Ip-1>(__x) == std::__1::get<_Ip-1>(__y);
    }
};

template <>
struct __tuple_equal<0>
{
    template <class _Tp, class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _Tp&, const _Up&)
    {
        return true;
    }
};

template <class ..._Tp, class ..._Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator==(const tuple<_Tp...>& __x, const tuple<_Up...>& __y)
{
    return __tuple_equal<sizeof...(_Tp)>()(__x, __y);
}

template <class ..._Tp, class ..._Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator!=(const tuple<_Tp...>& __x, const tuple<_Up...>& __y)
{
    return !(__x == __y);
}

template <size_t _Ip>
struct __tuple_less
{
    template <class _Tp, class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _Tp& __x, const _Up& __y)
    {
        const size_t __idx = tuple_size<_Tp>::value - _Ip;
        if (std::__1::get<__idx>(__x) < std::__1::get<__idx>(__y))
            return true;
        if (std::__1::get<__idx>(__y) < std::__1::get<__idx>(__x))
            return false;
        return __tuple_less<_Ip-1>()(__x, __y);
    }
};

template <>
struct __tuple_less<0>
{
    template <class _Tp, class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _Tp&, const _Up&)
    {
        return false;
    }
};

template <class ..._Tp, class ..._Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<(const tuple<_Tp...>& __x, const tuple<_Up...>& __y)
{
    return __tuple_less<sizeof...(_Tp)>()(__x, __y);
}

template <class ..._Tp, class ..._Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>(const tuple<_Tp...>& __x, const tuple<_Up...>& __y)
{
    return __y < __x;
}

template <class ..._Tp, class ..._Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator>=(const tuple<_Tp...>& __x, const tuple<_Up...>& __y)
{
    return !(__x < __y);
}

template <class ..._Tp, class ..._Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
bool
operator<=(const tuple<_Tp...>& __x, const tuple<_Up...>& __y)
{
    return !(__y < __x);
}



template <class _Tp, class _Up> struct __tuple_cat_type;

template <class ..._Ttypes, class ..._Utypes>
struct __tuple_cat_type<tuple<_Ttypes...>, __tuple_types<_Utypes...> >
{
    typedef tuple<_Ttypes..., _Utypes...> type;
};

template <class _ResultTuple, bool _Is_Tuple0TupleLike, class ..._Tuples>
struct __tuple_cat_return_1
{
};

template <class ..._Types, class _Tuple0>
struct __tuple_cat_return_1<tuple<_Types...>, true, _Tuple0>
{
    typedef typename __tuple_cat_type<tuple<_Types...>,
            typename __make_tuple_types<typename remove_reference<_Tuple0>::type>::type>::type
                                                                           type;
};

template <class ..._Types, class _Tuple0, class _Tuple1, class ..._Tuples>
struct __tuple_cat_return_1<tuple<_Types...>, true, _Tuple0, _Tuple1, _Tuples...>
    : public __tuple_cat_return_1<
                 typename __tuple_cat_type<
                     tuple<_Types...>,
                     typename __make_tuple_types<typename remove_reference<_Tuple0>::type>::type
                 >::type,
                 __tuple_like<typename remove_reference<_Tuple1>::type>::value,
                 _Tuple1, _Tuples...>
{
};

template <class ..._Tuples> struct __tuple_cat_return;

template <class _Tuple0, class ..._Tuples>
struct __tuple_cat_return<_Tuple0, _Tuples...>
    : public __tuple_cat_return_1<tuple<>,
         __tuple_like<typename remove_reference<_Tuple0>::type>::value, _Tuple0,
                                                                     _Tuples...>
{
};

template <>
struct __tuple_cat_return<>
{
    typedef tuple<> type;
};

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
tuple<>
tuple_cat()
{
    return tuple<>();
}

template <class _Rp, class _Indices, class _Tuple0, class ..._Tuples>
struct __tuple_cat_return_ref_imp;

template <class ..._Types, size_t ..._I0, class _Tuple0>
struct __tuple_cat_return_ref_imp<tuple<_Types...>, __tuple_indices<_I0...>, _Tuple0>
{
    typedef typename remove_reference<_Tuple0>::type _T0;
    typedef tuple<_Types..., typename __apply_cv<_Tuple0,
                          typename tuple_element<_I0, _T0>::type>::type&&...> type;
};

template <class ..._Types, size_t ..._I0, class _Tuple0, class _Tuple1, class ..._Tuples>
struct __tuple_cat_return_ref_imp<tuple<_Types...>, __tuple_indices<_I0...>,
                                  _Tuple0, _Tuple1, _Tuples...>
    : public __tuple_cat_return_ref_imp<
         tuple<_Types..., typename __apply_cv<_Tuple0,
               typename tuple_element<_I0,
                  typename remove_reference<_Tuple0>::type>::type>::type&&...>,
         typename __make_tuple_indices<tuple_size<typename
                                 remove_reference<_Tuple1>::type>::value>::type,
         _Tuple1, _Tuples...>
{
};

template <class _Tuple0, class ..._Tuples>
struct __tuple_cat_return_ref
    : public __tuple_cat_return_ref_imp<tuple<>,
               typename __make_tuple_indices<
                        tuple_size<typename remove_reference<_Tuple0>::type>::value
               >::type, _Tuple0, _Tuples...>
{
};

template <class _Types, class _I0, class _J0>
struct __tuple_cat;

template <class ..._Types, size_t ..._I0, size_t ..._J0>
struct __tuple_cat<tuple<_Types...>, __tuple_indices<_I0...>, __tuple_indices<_J0...> >
{
    template <class _Tuple0>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    typename __tuple_cat_return_ref<tuple<_Types...>&&, _Tuple0&&>::type
    operator()(tuple<_Types...> __t, _Tuple0&& __t0)
    {
        return forward_as_tuple(std::__1::forward<_Types>(std::__1::get<_I0>(__t))...,
                                      std::__1::get<_J0>(std::__1::forward<_Tuple0>(__t0))...);
    }

    template <class _Tuple0, class _Tuple1, class ..._Tuples>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    typename __tuple_cat_return_ref<tuple<_Types...>&&, _Tuple0&&, _Tuple1&&, _Tuples&&...>::type
    operator()(tuple<_Types...> __t, _Tuple0&& __t0, _Tuple1&& __t1, _Tuples&& ...__tpls)
    {
        typedef typename remove_reference<_Tuple0>::type _T0;
        typedef typename remove_reference<_Tuple1>::type _T1;
        return __tuple_cat<
           tuple<_Types..., typename __apply_cv<_Tuple0, typename tuple_element<_J0, _T0>::type>::type&&...>,
           typename __make_tuple_indices<sizeof ...(_Types) + tuple_size<_T0>::value>::type,
           typename __make_tuple_indices<tuple_size<_T1>::value>::type>()
                           (forward_as_tuple(
                              std::__1::forward<_Types>(std::__1::get<_I0>(__t))...,
                              std::__1::get<_J0>(std::__1::forward<_Tuple0>(__t0))...
                            ),
                            std::__1::forward<_Tuple1>(__t1),
                            std::__1::forward<_Tuples>(__tpls)...);
    }
};

template <class _Tuple0, class... _Tuples>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename __tuple_cat_return<_Tuple0, _Tuples...>::type
tuple_cat(_Tuple0&& __t0, _Tuples&&... __tpls)
{
    typedef typename remove_reference<_Tuple0>::type _T0;
    return __tuple_cat<tuple<>, __tuple_indices<>,
                  typename __make_tuple_indices<tuple_size<_T0>::value>::type>()
                  (tuple<>(), std::__1::forward<_Tuple0>(__t0),
                                            std::__1::forward<_Tuples>(__tpls)...);
}

template <class ..._Tp, class _Alloc>
struct __attribute__ ((__type_visibility__("default"))) uses_allocator<tuple<_Tp...>, _Alloc>
    : true_type {};

template <class _T1, class _T2>
template <class... _Args1, class... _Args2, size_t ..._I1, size_t ..._I2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
pair<_T1, _T2>::pair(piecewise_construct_t,
                     tuple<_Args1...>& __first_args, tuple<_Args2...>& __second_args,
                     __tuple_indices<_I1...>, __tuple_indices<_I2...>)
    : first(std::__1::forward<_Args1>(std::__1::get<_I1>( __first_args))...),
      second(std::__1::forward<_Args2>(std::__1::get<_I2>(__second_args))...)
{
}


template <class _Tp>
inline constexpr size_t tuple_size_v = tuple_size<_Tp>::value;



template <class _Fn, class _Tuple, size_t ..._Id>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr decltype(auto) __apply_tuple_impl(_Fn && __f, _Tuple && __t,
                                            __tuple_indices<_Id...>)
noexcept(noexcept(std::__1::__invoke_constexpr( std::__1::forward<_Fn>(__f), std::__1::get<_Id>(std::__1::forward<_Tuple>(__t))...))) { return std::__1::__invoke_constexpr( std::__1::forward<_Fn>(__f), std::__1::get<_Id>(std::__1::forward<_Tuple>(__t))...); }





template <class _Fn, class _Tuple>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr decltype(auto) apply(_Fn && __f, _Tuple && __t)
noexcept(noexcept(std::__1::__apply_tuple_impl( std::__1::forward<_Fn>(__f), std::__1::forward<_Tuple>(__t), typename __make_tuple_indices<tuple_size_v<remove_reference_t<_Tuple>>>::type{}))) { return std::__1::__apply_tuple_impl( std::__1::forward<_Fn>(__f), std::__1::forward<_Tuple>(__t), typename __make_tuple_indices<tuple_size_v<remove_reference_t<_Tuple>>>::type{}); }





template <class _Tp, class _Tuple, size_t... _Idx>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _Tp __make_from_tuple_impl(_Tuple&& __t, __tuple_indices<_Idx...>)
noexcept(noexcept(_Tp(std::__1::get<_Idx>(std::__1::forward<_Tuple>(__t))...))) { return _Tp(std::__1::get<_Idx>(std::__1::forward<_Tuple>(__t))...); }



template <class _Tp, class _Tuple>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr _Tp make_from_tuple(_Tuple&& __t)
noexcept(noexcept(std::__1::__make_from_tuple_impl<_Tp>(std::__1::forward<_Tuple>(__t), typename __make_tuple_indices<tuple_size_v<remove_reference_t<_Tuple>>>::type{}))) { return std::__1::__make_from_tuple_impl<_Tp>(std::__1::forward<_Tuple>(__t), typename __make_tuple_indices<tuple_size_v<remove_reference_t<_Tuple>>>::type{}); }
# 1393 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/tuple" 3
} }
# 664 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdexcept" 1 3
# 45 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdexcept" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 46 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdexcept" 2 3
# 54 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdexcept" 3


namespace std { inline namespace __1 {

class __attribute__ ((__visibility__("hidden"))) __libcpp_refstring
{
    const char* __imp_;

    bool __uses_refcount() const;
public:
    explicit __libcpp_refstring(const char* __msg);
    __libcpp_refstring(const __libcpp_refstring& __s) noexcept;
    __libcpp_refstring& operator=(const __libcpp_refstring& __s) noexcept;
    ~__libcpp_refstring();

    const char* c_str() const noexcept {return __imp_;}
};

} }

namespace std
{

class __attribute__ ((__visibility__("default"))) logic_error
    : public exception
{
private:
    std::__1::__libcpp_refstring __imp_;
public:
    explicit logic_error(const string&);
    explicit logic_error(const char*);

    logic_error(const logic_error&) noexcept;
    logic_error& operator=(const logic_error&) noexcept;

    virtual ~logic_error() noexcept;

    virtual const char* what() const noexcept;
};

class __attribute__ ((__visibility__("default"))) runtime_error
    : public exception
{
private:
    std::__1::__libcpp_refstring __imp_;
public:
    explicit runtime_error(const string&);
    explicit runtime_error(const char*);

    runtime_error(const runtime_error&) noexcept;
    runtime_error& operator=(const runtime_error&) noexcept;

    virtual ~runtime_error() noexcept;

    virtual const char* what() const noexcept;
};

class __attribute__ ((__visibility__("default"))) domain_error
    : public logic_error
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit domain_error(const string& __s) : logic_error(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit domain_error(const char* __s) : logic_error(__s) {}

    virtual ~domain_error() noexcept;
};

class __attribute__ ((__visibility__("default"))) invalid_argument
    : public logic_error
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit invalid_argument(const string& __s) : logic_error(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit invalid_argument(const char* __s) : logic_error(__s) {}

    virtual ~invalid_argument() noexcept;
};

class __attribute__ ((__visibility__("default"))) length_error
    : public logic_error
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit length_error(const string& __s) : logic_error(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit length_error(const char* __s) : logic_error(__s) {}

    virtual ~length_error() noexcept;
};

class __attribute__ ((__visibility__("default"))) out_of_range
    : public logic_error
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit out_of_range(const string& __s) : logic_error(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit out_of_range(const char* __s) : logic_error(__s) {}

    virtual ~out_of_range() noexcept;
};

class __attribute__ ((__visibility__("default"))) range_error
    : public runtime_error
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit range_error(const string& __s) : runtime_error(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit range_error(const char* __s) : runtime_error(__s) {}

    virtual ~range_error() noexcept;
};

class __attribute__ ((__visibility__("default"))) overflow_error
    : public runtime_error
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit overflow_error(const string& __s) : runtime_error(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit overflow_error(const char* __s) : runtime_error(__s) {}

    virtual ~overflow_error() noexcept;
};

class __attribute__ ((__visibility__("default"))) underflow_error
    : public runtime_error
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit underflow_error(const string& __s) : runtime_error(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit underflow_error(const char* __s) : runtime_error(__s) {}

    virtual ~underflow_error() noexcept;
};

}

namespace std { inline namespace __1 {


[[noreturn]] __attribute__ ((__visibility__("default"))) void __throw_runtime_error(const char*);

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_logic_error(const char*__msg)
{

    throw logic_error(__msg);




}

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_domain_error(const char*__msg)
{

    throw domain_error(__msg);




}

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_invalid_argument(const char*__msg)
{

    throw invalid_argument(__msg);




}

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_length_error(const char*__msg)
{

    throw length_error(__msg);




}

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_out_of_range(const char*__msg)
{

    throw out_of_range(__msg);




}

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_range_error(const char*__msg)
{

    throw range_error(__msg);




}

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_overflow_error(const char*__msg)
{

    throw overflow_error(__msg);




}

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_underflow_error(const char*__msg)
{

    throw underflow_error(__msg);




}

} }
# 665 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 2 3

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 1 3
# 20 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 21 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/assert.h" 1 3 4
# 44 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/assert.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdlib.h" 1 3 4
# 45 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/assert.h" 2 3 4
# 75 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/assert.h" 3 4
extern "C" {
void __assert_rtn(const char *, const char *, int, const char *) __attribute__((__noreturn__)) __attribute__((__cold__)) __attribute__((__disable_tail_calls__));



}
# 22 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 2 3
# 25 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 3
# 667 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 2 3

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/atomic" 1 3
# 543 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/atomic" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 544 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/atomic" 2 3
# 551 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/atomic" 3
# 579 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/atomic" 3
namespace std { inline namespace __1 {

typedef enum memory_order
{
    memory_order_relaxed, memory_order_consume, memory_order_acquire,
    memory_order_release, memory_order_acq_rel, memory_order_seq_cst
} memory_order;
# 856 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/atomic" 3
template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp
kill_dependency(_Tp __y) noexcept
{
    return __y;
}
# 890 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/atomic" 3
template <class _Tp, bool = is_integral<_Tp>::value && !is_same<_Tp, bool>::value>
struct __atomic_base
{
    mutable _Atomic(_Tp) __a_;


  static constexpr bool is_always_lock_free = __atomic_always_lock_free(sizeof(__a_), 0);


    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool is_lock_free() const volatile noexcept
    {

    return __c11_atomic_is_lock_free(sizeof(_Tp));



    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool is_lock_free() const noexcept
        {return static_cast<__atomic_base const volatile*>(this)->is_lock_free();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void store(_Tp __d, memory_order __m = memory_order_seq_cst) volatile noexcept
      __attribute__((diagnose_if(__m == memory_order_consume || __m == memory_order_acquire || __m == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
        {__c11_atomic_store(&__a_, __d, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void store(_Tp __d, memory_order __m = memory_order_seq_cst) noexcept
      __attribute__((diagnose_if(__m == memory_order_consume || __m == memory_order_acquire || __m == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
        {__c11_atomic_store(&__a_, __d, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp load(memory_order __m = memory_order_seq_cst) const volatile noexcept
      __attribute__((diagnose_if(__m == memory_order_release || __m == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
        {return __c11_atomic_load(&__a_, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp load(memory_order __m = memory_order_seq_cst) const noexcept
      __attribute__((diagnose_if(__m == memory_order_release || __m == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
        {return __c11_atomic_load(&__a_, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    operator _Tp() const volatile noexcept {return load();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    operator _Tp() const noexcept {return load();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp exchange(_Tp __d, memory_order __m = memory_order_seq_cst) volatile noexcept
        {return __c11_atomic_exchange(&__a_, __d, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp exchange(_Tp __d, memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_exchange(&__a_, __d, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool compare_exchange_weak(_Tp& __e, _Tp __d,
                               memory_order __s, memory_order __f) volatile noexcept
      __attribute__((diagnose_if(__f == memory_order_release || __f == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
        {return __c11_atomic_compare_exchange_weak(&__a_, &__e, __d, __s, __f);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool compare_exchange_weak(_Tp& __e, _Tp __d,
                               memory_order __s, memory_order __f) noexcept
      __attribute__((diagnose_if(__f == memory_order_release || __f == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
        {return __c11_atomic_compare_exchange_weak(&__a_, &__e, __d, __s, __f);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool compare_exchange_strong(_Tp& __e, _Tp __d,
                                 memory_order __s, memory_order __f) volatile noexcept
      __attribute__((diagnose_if(__f == memory_order_release || __f == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
        {return __c11_atomic_compare_exchange_strong(&__a_, &__e, __d, __s, __f);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool compare_exchange_strong(_Tp& __e, _Tp __d,
                                 memory_order __s, memory_order __f) noexcept
      __attribute__((diagnose_if(__f == memory_order_release || __f == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
        {return __c11_atomic_compare_exchange_strong(&__a_, &__e, __d, __s, __f);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool compare_exchange_weak(_Tp& __e, _Tp __d,
                              memory_order __m = memory_order_seq_cst) volatile noexcept
        {return __c11_atomic_compare_exchange_weak(&__a_, &__e, __d, __m, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool compare_exchange_weak(_Tp& __e, _Tp __d,
                               memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_compare_exchange_weak(&__a_, &__e, __d, __m, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool compare_exchange_strong(_Tp& __e, _Tp __d,
                              memory_order __m = memory_order_seq_cst) volatile noexcept
        {return __c11_atomic_compare_exchange_strong(&__a_, &__e, __d, __m, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool compare_exchange_strong(_Tp& __e, _Tp __d,
                                 memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_compare_exchange_strong(&__a_, &__e, __d, __m, __m);}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))

    __atomic_base() noexcept = default;




    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr __atomic_base(_Tp __d) noexcept : __a_(__d) {}

    __atomic_base(const __atomic_base&) = delete;
    __atomic_base& operator=(const __atomic_base&) = delete;
    __atomic_base& operator=(const __atomic_base&) volatile = delete;






};


template <class _Tp, bool __b>
constexpr bool __atomic_base<_Tp, __b>::is_always_lock_free;




template <class _Tp>
struct __atomic_base<_Tp, true>
    : public __atomic_base<_Tp, false>
{
    typedef __atomic_base<_Tp, false> __base;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __atomic_base() noexcept = default;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr __atomic_base(_Tp __d) noexcept : __base(__d) {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_add(_Tp __op, memory_order __m = memory_order_seq_cst) volatile noexcept
        {return __c11_atomic_fetch_add(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_add(_Tp __op, memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_fetch_add(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_sub(_Tp __op, memory_order __m = memory_order_seq_cst) volatile noexcept
        {return __c11_atomic_fetch_sub(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_sub(_Tp __op, memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_fetch_sub(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_and(_Tp __op, memory_order __m = memory_order_seq_cst) volatile noexcept
        {return __c11_atomic_fetch_and(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_and(_Tp __op, memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_fetch_and(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_or(_Tp __op, memory_order __m = memory_order_seq_cst) volatile noexcept
        {return __c11_atomic_fetch_or(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_or(_Tp __op, memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_fetch_or(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_xor(_Tp __op, memory_order __m = memory_order_seq_cst) volatile noexcept
        {return __c11_atomic_fetch_xor(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp fetch_xor(_Tp __op, memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_fetch_xor(&this->__a_, __op, __m);}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator++(int) volatile noexcept {return fetch_add(_Tp(1));}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator++(int) noexcept {return fetch_add(_Tp(1));}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator--(int) volatile noexcept {return fetch_sub(_Tp(1));}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator--(int) noexcept {return fetch_sub(_Tp(1));}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator++() volatile noexcept {return fetch_add(_Tp(1)) + _Tp(1);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator++() noexcept {return fetch_add(_Tp(1)) + _Tp(1);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator--() volatile noexcept {return fetch_sub(_Tp(1)) - _Tp(1);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator--() noexcept {return fetch_sub(_Tp(1)) - _Tp(1);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator+=(_Tp __op) volatile noexcept {return fetch_add(__op) + __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator+=(_Tp __op) noexcept {return fetch_add(__op) + __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator-=(_Tp __op) volatile noexcept {return fetch_sub(__op) - __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator-=(_Tp __op) noexcept {return fetch_sub(__op) - __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator&=(_Tp __op) volatile noexcept {return fetch_and(__op) & __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator&=(_Tp __op) noexcept {return fetch_and(__op) & __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator|=(_Tp __op) volatile noexcept {return fetch_or(__op) | __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator|=(_Tp __op) noexcept {return fetch_or(__op) | __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator^=(_Tp __op) volatile noexcept {return fetch_xor(__op) ^ __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator^=(_Tp __op) noexcept {return fetch_xor(__op) ^ __op;}
};



template <class _Tp>
struct atomic
    : public __atomic_base<_Tp>
{
    typedef __atomic_base<_Tp> __base;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    atomic() noexcept = default;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr atomic(_Tp __d) noexcept : __base(__d) {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator=(_Tp __d) volatile noexcept
        {__base::store(__d); return __d;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator=(_Tp __d) noexcept
        {__base::store(__d); return __d;}
};



template <class _Tp>
struct atomic<_Tp*>
    : public __atomic_base<_Tp*>
{
    typedef __atomic_base<_Tp*> __base;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    atomic() noexcept = default;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr atomic(_Tp* __d) noexcept : __base(__d) {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator=(_Tp* __d) volatile noexcept
        {__base::store(__d); return __d;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator=(_Tp* __d) noexcept
        {__base::store(__d); return __d;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* fetch_add(ptrdiff_t __op, memory_order __m = memory_order_seq_cst)
                                                                        volatile noexcept
        {return __c11_atomic_fetch_add(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* fetch_add(ptrdiff_t __op, memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_fetch_add(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* fetch_sub(ptrdiff_t __op, memory_order __m = memory_order_seq_cst)
                                                                        volatile noexcept
        {return __c11_atomic_fetch_sub(&this->__a_, __op, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* fetch_sub(ptrdiff_t __op, memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_fetch_sub(&this->__a_, __op, __m);}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator++(int) volatile noexcept {return fetch_add(1);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator++(int) noexcept {return fetch_add(1);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator--(int) volatile noexcept {return fetch_sub(1);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator--(int) noexcept {return fetch_sub(1);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator++() volatile noexcept {return fetch_add(1) + 1;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator++() noexcept {return fetch_add(1) + 1;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator--() volatile noexcept {return fetch_sub(1) - 1;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator--() noexcept {return fetch_sub(1) - 1;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator+=(ptrdiff_t __op) volatile noexcept {return fetch_add(__op) + __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator+=(ptrdiff_t __op) noexcept {return fetch_add(__op) + __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator-=(ptrdiff_t __op) volatile noexcept {return fetch_sub(__op) - __op;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* operator-=(ptrdiff_t __op) noexcept {return fetch_sub(__op) - __op;}
};



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_is_lock_free(const volatile atomic<_Tp>* __o) noexcept
{
    return __o->is_lock_free();
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_is_lock_free(const atomic<_Tp>* __o) noexcept
{
    return __o->is_lock_free();
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_init(volatile atomic<_Tp>* __o, _Tp __d) noexcept
{
    __c11_atomic_init(&__o->__a_, __d);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_init(atomic<_Tp>* __o, _Tp __d) noexcept
{
    __c11_atomic_init(&__o->__a_, __d);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_store(volatile atomic<_Tp>* __o, _Tp __d) noexcept
{
    __o->store(__d);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_store(atomic<_Tp>* __o, _Tp __d) noexcept
{
    __o->store(__d);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_store_explicit(volatile atomic<_Tp>* __o, _Tp __d, memory_order __m) noexcept
  __attribute__((diagnose_if(__m == memory_order_consume || __m == memory_order_acquire || __m == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
{
    __o->store(__d, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_store_explicit(atomic<_Tp>* __o, _Tp __d, memory_order __m) noexcept
  __attribute__((diagnose_if(__m == memory_order_consume || __m == memory_order_acquire || __m == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
{
    __o->store(__d, __m);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp
atomic_load(const volatile atomic<_Tp>* __o) noexcept
{
    return __o->load();
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp
atomic_load(const atomic<_Tp>* __o) noexcept
{
    return __o->load();
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp
atomic_load_explicit(const volatile atomic<_Tp>* __o, memory_order __m) noexcept
  __attribute__((diagnose_if(__m == memory_order_release || __m == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
{
    return __o->load(__m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp
atomic_load_explicit(const atomic<_Tp>* __o, memory_order __m) noexcept
  __attribute__((diagnose_if(__m == memory_order_release || __m == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
{
    return __o->load(__m);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp
atomic_exchange(volatile atomic<_Tp>* __o, _Tp __d) noexcept
{
    return __o->exchange(__d);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp
atomic_exchange(atomic<_Tp>* __o, _Tp __d) noexcept
{
    return __o->exchange(__d);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp
atomic_exchange_explicit(volatile atomic<_Tp>* __o, _Tp __d, memory_order __m) noexcept
{
    return __o->exchange(__d, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp
atomic_exchange_explicit(atomic<_Tp>* __o, _Tp __d, memory_order __m) noexcept
{
    return __o->exchange(__d, __m);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_compare_exchange_weak(volatile atomic<_Tp>* __o, _Tp* __e, _Tp __d) noexcept
{
    return __o->compare_exchange_weak(*__e, __d);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_compare_exchange_weak(atomic<_Tp>* __o, _Tp* __e, _Tp __d) noexcept
{
    return __o->compare_exchange_weak(*__e, __d);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_compare_exchange_strong(volatile atomic<_Tp>* __o, _Tp* __e, _Tp __d) noexcept
{
    return __o->compare_exchange_strong(*__e, __d);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_compare_exchange_strong(atomic<_Tp>* __o, _Tp* __e, _Tp __d) noexcept
{
    return __o->compare_exchange_strong(*__e, __d);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_compare_exchange_weak_explicit(volatile atomic<_Tp>* __o, _Tp* __e,
                                      _Tp __d,
                                      memory_order __s, memory_order __f) noexcept
  __attribute__((diagnose_if(__f == memory_order_release || __f == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
{
    return __o->compare_exchange_weak(*__e, __d, __s, __f);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_compare_exchange_weak_explicit(atomic<_Tp>* __o, _Tp* __e, _Tp __d,
                                      memory_order __s, memory_order __f) noexcept
  __attribute__((diagnose_if(__f == memory_order_release || __f == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
{
    return __o->compare_exchange_weak(*__e, __d, __s, __f);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_compare_exchange_strong_explicit(volatile atomic<_Tp>* __o,
                                        _Tp* __e, _Tp __d,
                                        memory_order __s, memory_order __f) noexcept
  __attribute__((diagnose_if(__f == memory_order_release || __f == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
{
    return __o->compare_exchange_strong(*__e, __d, __s, __f);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_compare_exchange_strong_explicit(atomic<_Tp>* __o, _Tp* __e,
                                        _Tp __d,
                                        memory_order __s, memory_order __f) noexcept
  __attribute__((diagnose_if(__f == memory_order_release || __f == memory_order_acq_rel, "memory order argument to atomic operation is invalid", "warning")))
{
    return __o->compare_exchange_strong(*__e, __d, __s, __f);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_add(volatile atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_add(__op);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_add(atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_add(__op);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
atomic_fetch_add(volatile atomic<_Tp*>* __o, ptrdiff_t __op) noexcept
{
    return __o->fetch_add(__op);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
atomic_fetch_add(atomic<_Tp*>* __o, ptrdiff_t __op) noexcept
{
    return __o->fetch_add(__op);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_add_explicit(volatile atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_add(__op, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_add_explicit(atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_add(__op, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
atomic_fetch_add_explicit(volatile atomic<_Tp*>* __o, ptrdiff_t __op,
                          memory_order __m) noexcept
{
    return __o->fetch_add(__op, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
atomic_fetch_add_explicit(atomic<_Tp*>* __o, ptrdiff_t __op, memory_order __m) noexcept
{
    return __o->fetch_add(__op, __m);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_sub(volatile atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_sub(__op);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_sub(atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_sub(__op);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
atomic_fetch_sub(volatile atomic<_Tp*>* __o, ptrdiff_t __op) noexcept
{
    return __o->fetch_sub(__op);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
atomic_fetch_sub(atomic<_Tp*>* __o, ptrdiff_t __op) noexcept
{
    return __o->fetch_sub(__op);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_sub_explicit(volatile atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_sub(__op, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_sub_explicit(atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_sub(__op, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
atomic_fetch_sub_explicit(volatile atomic<_Tp*>* __o, ptrdiff_t __op,
                          memory_order __m) noexcept
{
    return __o->fetch_sub(__op, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
atomic_fetch_sub_explicit(atomic<_Tp*>* __o, ptrdiff_t __op, memory_order __m) noexcept
{
    return __o->fetch_sub(__op, __m);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_and(volatile atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_and(__op);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_and(atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_and(__op);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_and_explicit(volatile atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_and(__op, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_and_explicit(atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_and(__op, __m);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_or(volatile atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_or(__op);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_or(atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_or(__op);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_or_explicit(volatile atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_or(__op, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_or_explicit(atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_or(__op, __m);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_xor(volatile atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_xor(__op);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_xor(atomic<_Tp>* __o, _Tp __op) noexcept
{
    return __o->fetch_xor(__op);
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_xor_explicit(volatile atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_xor(__op, __m);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_integral<_Tp>::value && !is_same<_Tp, bool>::value,
    _Tp
>::type
atomic_fetch_xor_explicit(atomic<_Tp>* __o, _Tp __op, memory_order __m) noexcept
{
    return __o->fetch_xor(__op, __m);
}



typedef struct atomic_flag
{
    _Atomic(bool) __a_;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool test_and_set(memory_order __m = memory_order_seq_cst) volatile noexcept
        {return __c11_atomic_exchange(&__a_, true, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool test_and_set(memory_order __m = memory_order_seq_cst) noexcept
        {return __c11_atomic_exchange(&__a_, true, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void clear(memory_order __m = memory_order_seq_cst) volatile noexcept
        {__c11_atomic_store(&__a_, false, __m);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void clear(memory_order __m = memory_order_seq_cst) noexcept
        {__c11_atomic_store(&__a_, false, __m);}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))

    atomic_flag() noexcept = default;




    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    atomic_flag(bool __b) noexcept : __a_(__b) {}


    atomic_flag(const atomic_flag&) = delete;
    atomic_flag& operator=(const atomic_flag&) = delete;
    atomic_flag& operator=(const atomic_flag&) volatile = delete;






} atomic_flag;

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_flag_test_and_set(volatile atomic_flag* __o) noexcept
{
    return __o->test_and_set();
}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_flag_test_and_set(atomic_flag* __o) noexcept
{
    return __o->test_and_set();
}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_flag_test_and_set_explicit(volatile atomic_flag* __o, memory_order __m) noexcept
{
    return __o->test_and_set(__m);
}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_flag_test_and_set_explicit(atomic_flag* __o, memory_order __m) noexcept
{
    return __o->test_and_set(__m);
}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_flag_clear(volatile atomic_flag* __o) noexcept
{
    __o->clear();
}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_flag_clear(atomic_flag* __o) noexcept
{
    __o->clear();
}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_flag_clear_explicit(volatile atomic_flag* __o, memory_order __m) noexcept
{
    __o->clear(__m);
}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_flag_clear_explicit(atomic_flag* __o, memory_order __m) noexcept
{
    __o->clear(__m);
}



inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_thread_fence(memory_order __m) noexcept
{
    __c11_atomic_thread_fence(__m);
}

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
atomic_signal_fence(memory_order __m) noexcept
{
    __c11_atomic_signal_fence(__m);
}



typedef atomic<bool> atomic_bool;
typedef atomic<char> atomic_char;
typedef atomic<signed char> atomic_schar;
typedef atomic<unsigned char> atomic_uchar;
typedef atomic<short> atomic_short;
typedef atomic<unsigned short> atomic_ushort;
typedef atomic<int> atomic_int;
typedef atomic<unsigned int> atomic_uint;
typedef atomic<long> atomic_long;
typedef atomic<unsigned long> atomic_ulong;
typedef atomic<long long> atomic_llong;
typedef atomic<unsigned long long> atomic_ullong;
typedef atomic<char16_t> atomic_char16_t;
typedef atomic<char32_t> atomic_char32_t;
typedef atomic<wchar_t> atomic_wchar_t;

typedef atomic<int_least8_t> atomic_int_least8_t;
typedef atomic<uint_least8_t> atomic_uint_least8_t;
typedef atomic<int_least16_t> atomic_int_least16_t;
typedef atomic<uint_least16_t> atomic_uint_least16_t;
typedef atomic<int_least32_t> atomic_int_least32_t;
typedef atomic<uint_least32_t> atomic_uint_least32_t;
typedef atomic<int_least64_t> atomic_int_least64_t;
typedef atomic<uint_least64_t> atomic_uint_least64_t;

typedef atomic<int_fast8_t> atomic_int_fast8_t;
typedef atomic<uint_fast8_t> atomic_uint_fast8_t;
typedef atomic<int_fast16_t> atomic_int_fast16_t;
typedef atomic<uint_fast16_t> atomic_uint_fast16_t;
typedef atomic<int_fast32_t> atomic_int_fast32_t;
typedef atomic<uint_fast32_t> atomic_uint_fast32_t;
typedef atomic<int_fast64_t> atomic_int_fast64_t;
typedef atomic<uint_fast64_t> atomic_uint_fast64_t;

typedef atomic< int8_t> atomic_int8_t;
typedef atomic<uint8_t> atomic_uint8_t;
typedef atomic< int16_t> atomic_int16_t;
typedef atomic<uint16_t> atomic_uint16_t;
typedef atomic< int32_t> atomic_int32_t;
typedef atomic<uint32_t> atomic_uint32_t;
typedef atomic< int64_t> atomic_int64_t;
typedef atomic<uint64_t> atomic_uint64_t;

typedef atomic<intptr_t> atomic_intptr_t;
typedef atomic<uintptr_t> atomic_uintptr_t;
typedef atomic<size_t> atomic_size_t;
typedef atomic<ptrdiff_t> atomic_ptrdiff_t;
typedef atomic<intmax_t> atomic_intmax_t;
typedef atomic<uintmax_t> atomic_uintmax_t;




} }
# 669 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 2 3
# 674 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3



# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__undef_macros" 1 3
# 678 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 2 3


namespace std { inline namespace __1 {

template <class _ValueType>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ValueType __libcpp_relaxed_load(_ValueType const* __value) {



    return __atomic_load_n(__value, 0);



}

template <class _ValueType>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ValueType __libcpp_acquire_load(_ValueType const* __value) {



    return __atomic_load_n(__value, 2);



}



template <class _Tp> class allocator;

template <>
class __attribute__ ((__type_visibility__("default"))) allocator<void>
{
public:
    typedef void* pointer;
    typedef const void* const_pointer;
    typedef void value_type;

    template <class _Up> struct rebind {typedef allocator<_Up> other;};
};

template <>
class __attribute__ ((__type_visibility__("default"))) allocator<const void>
{
public:
    typedef const void* pointer;
    typedef const void* const_pointer;
    typedef const void value_type;

    template <class _Up> struct rebind {typedef allocator<_Up> other;};
};



template <class _Tp, class = void>
struct __has_element_type : false_type {};

template <class _Tp>
struct __has_element_type<_Tp,
              typename __void_t<typename _Tp::element_type>::type> : true_type {};

template <class _Ptr, bool = __has_element_type<_Ptr>::value>
struct __pointer_traits_element_type;

template <class _Ptr>
struct __pointer_traits_element_type<_Ptr, true>
{
    typedef typename _Ptr::element_type type;
};



template <template <class, class...> class _Sp, class _Tp, class ..._Args>
struct __pointer_traits_element_type<_Sp<_Tp, _Args...>, true>
{
    typedef typename _Sp<_Tp, _Args...>::element_type type;
};

template <template <class, class...> class _Sp, class _Tp, class ..._Args>
struct __pointer_traits_element_type<_Sp<_Tp, _Args...>, false>
{
    typedef _Tp type;
};
# 818 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template <class _Tp, class = void>
struct __has_difference_type : false_type {};

template <class _Tp>
struct __has_difference_type<_Tp,
            typename __void_t<typename _Tp::difference_type>::type> : true_type {};

template <class _Ptr, bool = __has_difference_type<_Ptr>::value>
struct __pointer_traits_difference_type
{
    typedef ptrdiff_t type;
};

template <class _Ptr>
struct __pointer_traits_difference_type<_Ptr, true>
{
    typedef typename _Ptr::difference_type type;
};

template <class _Tp, class _Up>
struct __has_rebind
{
private:
    struct __two {char __lx; char __lxx;};
    template <class _Xp> static __two __test(...);
    template <class _Xp> static char __test(typename _Xp::template rebind<_Up>* = 0);
public:
    static const bool value = sizeof(__test<_Tp>(0)) == 1;
};

template <class _Tp, class _Up, bool = __has_rebind<_Tp, _Up>::value>
struct __pointer_traits_rebind
{

    typedef typename _Tp::template rebind<_Up> type;



};



template <template <class, class...> class _Sp, class _Tp, class ..._Args, class _Up>
struct __pointer_traits_rebind<_Sp<_Tp, _Args...>, _Up, true>
{

    typedef typename _Sp<_Tp, _Args...>::template rebind<_Up> type;



};

template <template <class, class...> class _Sp, class _Tp, class ..._Args, class _Up>
struct __pointer_traits_rebind<_Sp<_Tp, _Args...>, _Up, false>
{
    typedef _Sp<_Up, _Args...> type;
};
# 948 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template <class _Ptr>
struct __attribute__ ((__type_visibility__("default"))) pointer_traits
{
    typedef _Ptr pointer;
    typedef typename __pointer_traits_element_type<pointer>::type element_type;
    typedef typename __pointer_traits_difference_type<pointer>::type difference_type;


    template <class _Up> using rebind = typename __pointer_traits_rebind<pointer, _Up>::type;





private:
    struct __nat {};
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static pointer pointer_to(typename conditional<is_void<element_type>::value,
                                           __nat, element_type>::type& __r)
        {return pointer::pointer_to(__r);}
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) pointer_traits<_Tp*>
{
    typedef _Tp* pointer;
    typedef _Tp element_type;
    typedef ptrdiff_t difference_type;


    template <class _Up> using rebind = _Up*;




private:
    struct __nat {};
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static pointer pointer_to(typename conditional<is_void<element_type>::value,
                                      __nat, element_type>::type& __r) noexcept
        {return std::__1::addressof(__r);}
};

template <class _From, class _To>
struct __rebind_pointer {

    typedef typename pointer_traits<_From>::template rebind<_To> type;



};



template <class _Tp, class = void>
struct __has_pointer_type : false_type {};

template <class _Tp>
struct __has_pointer_type<_Tp,
          typename __void_t<typename _Tp::pointer>::type> : true_type {};

namespace __pointer_type_imp
{

template <class _Tp, class _Dp, bool = __has_pointer_type<_Dp>::value>
struct __pointer_type
{
    typedef typename _Dp::pointer type;
};

template <class _Tp, class _Dp>
struct __pointer_type<_Tp, _Dp, false>
{
    typedef _Tp* type;
};

}

template <class _Tp, class _Dp>
struct __pointer_type
{
    typedef typename __pointer_type_imp::__pointer_type<_Tp, typename remove_reference<_Dp>::type>::type type;
};

template <class _Tp, class = void>
struct __has_const_pointer : false_type {};

template <class _Tp>
struct __has_const_pointer<_Tp,
            typename __void_t<typename _Tp::const_pointer>::type> : true_type {};

template <class _Tp, class _Ptr, class _Alloc, bool = __has_const_pointer<_Alloc>::value>
struct __const_pointer
{
    typedef typename _Alloc::const_pointer type;
};

template <class _Tp, class _Ptr, class _Alloc>
struct __const_pointer<_Tp, _Ptr, _Alloc, false>
{

    typedef typename pointer_traits<_Ptr>::template rebind<const _Tp> type;



};

template <class _Tp, class = void>
struct __has_void_pointer : false_type {};

template <class _Tp>
struct __has_void_pointer<_Tp,
               typename __void_t<typename _Tp::void_pointer>::type> : true_type {};

template <class _Ptr, class _Alloc, bool = __has_void_pointer<_Alloc>::value>
struct __void_pointer
{
    typedef typename _Alloc::void_pointer type;
};

template <class _Ptr, class _Alloc>
struct __void_pointer<_Ptr, _Alloc, false>
{

    typedef typename pointer_traits<_Ptr>::template rebind<void> type;



};

template <class _Tp, class = void>
struct __has_const_void_pointer : false_type {};

template <class _Tp>
struct __has_const_void_pointer<_Tp,
            typename __void_t<typename _Tp::const_void_pointer>::type> : true_type {};

template <class _Ptr, class _Alloc, bool = __has_const_void_pointer<_Alloc>::value>
struct __const_void_pointer
{
    typedef typename _Alloc::const_void_pointer type;
};

template <class _Ptr, class _Alloc>
struct __const_void_pointer<_Ptr, _Alloc, false>
{

    typedef typename pointer_traits<_Ptr>::template rebind<const void> type;



};

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp*
__to_raw_pointer(_Tp* __p) noexcept
{
    return __p;
}


template <class _Pointer>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename pointer_traits<_Pointer>::element_type*
__to_raw_pointer(_Pointer __p) noexcept
{
    return std::__1::__to_raw_pointer(__p.operator->());
}
# 1155 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template <class _Tp, class = void>
struct __has_size_type : false_type {};

template <class _Tp>
struct __has_size_type<_Tp,
               typename __void_t<typename _Tp::size_type>::type> : true_type {};

template <class _Alloc, class _DiffType, bool = __has_size_type<_Alloc>::value>
struct __size_type
{
    typedef typename make_unsigned<_DiffType>::type type;
};

template <class _Alloc, class _DiffType>
struct __size_type<_Alloc, _DiffType, true>
{
    typedef typename _Alloc::size_type type;
};

template <class _Tp, class = void>
struct __has_propagate_on_container_copy_assignment : false_type {};

template <class _Tp>
struct __has_propagate_on_container_copy_assignment<_Tp,
    typename __void_t<typename _Tp::propagate_on_container_copy_assignment>::type>
        : true_type {};

template <class _Alloc, bool = __has_propagate_on_container_copy_assignment<_Alloc>::value>
struct __propagate_on_container_copy_assignment
{
    typedef false_type type;
};

template <class _Alloc>
struct __propagate_on_container_copy_assignment<_Alloc, true>
{
    typedef typename _Alloc::propagate_on_container_copy_assignment type;
};

template <class _Tp, class = void>
struct __has_propagate_on_container_move_assignment : false_type {};

template <class _Tp>
struct __has_propagate_on_container_move_assignment<_Tp,
           typename __void_t<typename _Tp::propagate_on_container_move_assignment>::type>
               : true_type {};

template <class _Alloc, bool = __has_propagate_on_container_move_assignment<_Alloc>::value>
struct __propagate_on_container_move_assignment
{
    typedef false_type type;
};

template <class _Alloc>
struct __propagate_on_container_move_assignment<_Alloc, true>
{
    typedef typename _Alloc::propagate_on_container_move_assignment type;
};

template <class _Tp, class = void>
struct __has_propagate_on_container_swap : false_type {};

template <class _Tp>
struct __has_propagate_on_container_swap<_Tp,
           typename __void_t<typename _Tp::propagate_on_container_swap>::type>
               : true_type {};

template <class _Alloc, bool = __has_propagate_on_container_swap<_Alloc>::value>
struct __propagate_on_container_swap
{
    typedef false_type type;
};

template <class _Alloc>
struct __propagate_on_container_swap<_Alloc, true>
{
    typedef typename _Alloc::propagate_on_container_swap type;
};

template <class _Tp, class = void>
struct __has_is_always_equal : false_type {};

template <class _Tp>
struct __has_is_always_equal<_Tp,
           typename __void_t<typename _Tp::is_always_equal>::type>
               : true_type {};

template <class _Alloc, bool = __has_is_always_equal<_Alloc>::value>
struct __is_always_equal
{
    typedef typename std::__1::is_empty<_Alloc>::type type;
};

template <class _Alloc>
struct __is_always_equal<_Alloc, true>
{
    typedef typename _Alloc::is_always_equal type;
};

template <class _Tp, class _Up, bool = __has_rebind<_Tp, _Up>::value>
struct __has_rebind_other
{
private:
    struct __two {char __lx; char __lxx;};
    template <class _Xp> static __two __test(...);
    template <class _Xp> static char __test(typename _Xp::template rebind<_Up>::other* = 0);
public:
    static const bool value = sizeof(__test<_Tp>(0)) == 1;
};

template <class _Tp, class _Up>
struct __has_rebind_other<_Tp, _Up, false>
{
    static const bool value = false;
};

template <class _Tp, class _Up, bool = __has_rebind_other<_Tp, _Up>::value>
struct __allocator_traits_rebind
{
    typedef typename _Tp::template rebind<_Up>::other type;
};



template <template <class, class...> class _Alloc, class _Tp, class ..._Args, class _Up>
struct __allocator_traits_rebind<_Alloc<_Tp, _Args...>, _Up, true>
{
    typedef typename _Alloc<_Tp, _Args...>::template rebind<_Up>::other type;
};

template <template <class, class...> class _Alloc, class _Tp, class ..._Args, class _Up>
struct __allocator_traits_rebind<_Alloc<_Tp, _Args...>, _Up, false>
{
    typedef _Alloc<_Up, _Args...> type;
};
# 1349 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template <class _Alloc, class _SizeType, class _ConstVoidPtr>
auto
__has_allocate_hint_test(_Alloc&& __a, _SizeType&& __sz, _ConstVoidPtr&& __p)
    -> decltype((void)__a.allocate(__sz, __p), true_type());

template <class _Alloc, class _SizeType, class _ConstVoidPtr>
auto
__has_allocate_hint_test(const _Alloc& __a, _SizeType&& __sz, _ConstVoidPtr&& __p)
    -> false_type;

template <class _Alloc, class _SizeType, class _ConstVoidPtr>
struct __has_allocate_hint
    : integral_constant<bool,
        is_same<
            decltype(std::__1::__has_allocate_hint_test(declval<_Alloc>(),
                                          declval<_SizeType>(),
                                          declval<_ConstVoidPtr>())),
            true_type>::value>
{
};
# 1382 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template <class _Alloc, class _Tp, class ..._Args>
decltype(std::__1::declval<_Alloc>().construct(std::__1::declval<_Tp*>(),
                                           std::__1::declval<_Args>()...),
                                           true_type())
__has_construct_test(_Alloc&& __a, _Tp* __p, _Args&& ...__args);

template <class _Alloc, class _Pointer, class ..._Args>
false_type
__has_construct_test(const _Alloc& __a, _Pointer&& __p, _Args&& ...__args);

template <class _Alloc, class _Pointer, class ..._Args>
struct __has_construct
    : integral_constant<bool,
        is_same<
            decltype(std::__1::__has_construct_test(declval<_Alloc>(),
                                          declval<_Pointer>(),
                                          declval<_Args>()...)),
            true_type>::value>
{
};

template <class _Alloc, class _Pointer>
auto
__has_destroy_test(_Alloc&& __a, _Pointer&& __p)
    -> decltype(__a.destroy(__p), true_type());

template <class _Alloc, class _Pointer>
auto
__has_destroy_test(const _Alloc& __a, _Pointer&& __p)
    -> false_type;

template <class _Alloc, class _Pointer>
struct __has_destroy
    : integral_constant<bool,
        is_same<
            decltype(std::__1::__has_destroy_test(declval<_Alloc>(),
                                        declval<_Pointer>())),
            true_type>::value>
{
};

template <class _Alloc>
auto
__has_max_size_test(_Alloc&& __a)
    -> decltype(__a.max_size(), true_type());

template <class _Alloc>
auto
__has_max_size_test(const volatile _Alloc& __a)
    -> false_type;

template <class _Alloc>
struct __has_max_size
    : integral_constant<bool,
        is_same<
            decltype(std::__1::__has_max_size_test(declval<_Alloc&>())),
            true_type>::value>
{
};

template <class _Alloc>
auto
__has_select_on_container_copy_construction_test(_Alloc&& __a)
    -> decltype(__a.select_on_container_copy_construction(), true_type());

template <class _Alloc>
auto
__has_select_on_container_copy_construction_test(const volatile _Alloc& __a)
    -> false_type;

template <class _Alloc>
struct __has_select_on_container_copy_construction
    : integral_constant<bool,
        is_same<
            decltype(std::__1::__has_select_on_container_copy_construction_test(declval<_Alloc&>())),
            true_type>::value>
{
};
# 1493 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template <class _Alloc, class _Ptr, bool = __has_difference_type<_Alloc>::value>
struct __alloc_traits_difference_type
{
    typedef typename pointer_traits<_Ptr>::difference_type type;
};

template <class _Alloc, class _Ptr>
struct __alloc_traits_difference_type<_Alloc, _Ptr, true>
{
    typedef typename _Alloc::difference_type type;
};

template <class _Tp>
struct __is_default_allocator : false_type {};

template <class _Tp>
struct __is_default_allocator<std::__1::allocator<_Tp> > : true_type {};

template <class _Alloc>
struct __attribute__ ((__type_visibility__("default"))) allocator_traits
{
    typedef _Alloc allocator_type;
    typedef typename allocator_type::value_type value_type;

    typedef typename __pointer_type<value_type, allocator_type>::type pointer;
    typedef typename __const_pointer<value_type, pointer, allocator_type>::type const_pointer;
    typedef typename __void_pointer<pointer, allocator_type>::type void_pointer;
    typedef typename __const_void_pointer<pointer, allocator_type>::type const_void_pointer;

    typedef typename __alloc_traits_difference_type<allocator_type, pointer>::type difference_type;
    typedef typename __size_type<allocator_type, difference_type>::type size_type;

    typedef typename __propagate_on_container_copy_assignment<allocator_type>::type
                     propagate_on_container_copy_assignment;
    typedef typename __propagate_on_container_move_assignment<allocator_type>::type
                     propagate_on_container_move_assignment;
    typedef typename __propagate_on_container_swap<allocator_type>::type
                     propagate_on_container_swap;
    typedef typename __is_always_equal<allocator_type>::type
                     is_always_equal;


    template <class _Tp> using rebind_alloc =
                  typename __allocator_traits_rebind<allocator_type, _Tp>::type;
    template <class _Tp> using rebind_traits = allocator_traits<rebind_alloc<_Tp>>;







                                  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static pointer allocate(allocator_type& __a, size_type __n)
        {return __a.allocate(__n);}
                                  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static pointer allocate(allocator_type& __a, size_type __n, const_void_pointer __hint)
        {return __allocate(__a, __n, __hint,
            __has_allocate_hint<allocator_type, size_type, const_void_pointer>());}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static void deallocate(allocator_type& __a, pointer __p, size_type __n) noexcept
        {__a.deallocate(__p, __n);}


    template <class _Tp, class... _Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static void construct(allocator_type& __a, _Tp* __p, _Args&&... __args)
            {__construct(__has_construct<allocator_type, _Tp*, _Args...>(),
                         __a, __p, std::__1::forward<_Args>(__args)...);}
# 1593 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
    template <class _Tp>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static void destroy(allocator_type& __a, _Tp* __p)
            {__destroy(__has_destroy<allocator_type, _Tp*>(), __a, __p);}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static size_type max_size(const allocator_type& __a) noexcept
        {return __max_size(__has_max_size<const allocator_type>(), __a);}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static allocator_type
        select_on_container_copy_construction(const allocator_type& __a)
            {return __select_on_container_copy_construction(
                __has_select_on_container_copy_construction<const allocator_type>(),
                __a);}

    template <class _Ptr>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static
        void
        __construct_forward(allocator_type& __a, _Ptr __begin1, _Ptr __end1, _Ptr& __begin2)
        {
            for (; __begin1 != __end1; ++__begin1, (void) ++__begin2)
                construct(__a, std::__1::__to_raw_pointer(__begin2), std::__1::move_if_noexcept(*__begin1));
        }

    template <class _Tp>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static
        typename enable_if
        <
            (__is_default_allocator<allocator_type>::value
                || !__has_construct<allocator_type, _Tp*, _Tp>::value) &&
             is_trivially_move_constructible<_Tp>::value,
            void
        >::type
        __construct_forward(allocator_type&, _Tp* __begin1, _Tp* __end1, _Tp*& __begin2)
        {
            ptrdiff_t _Np = __end1 - __begin1;
            if (_Np > 0)
            {
                std::__1::memcpy(__begin2, __begin1, _Np * sizeof(_Tp));
                __begin2 += _Np;
            }
        }

    template <class _Iter, class _Ptr>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static
        void
        __construct_range_forward(allocator_type& __a, _Iter __begin1, _Iter __end1, _Ptr& __begin2)
        {
            for (; __begin1 != __end1; ++__begin1, (void) ++__begin2)
                construct(__a, std::__1::__to_raw_pointer(__begin2), *__begin1);
        }

    template <class _SourceTp, class _DestTp,
              class _RawSourceTp = typename remove_const<_SourceTp>::type,
              class _RawDestTp = typename remove_const<_DestTp>::type>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static
        typename enable_if
        <
            is_trivially_move_constructible<_DestTp>::value &&
            is_same<_RawSourceTp, _RawDestTp>::value &&
            (__is_default_allocator<allocator_type>::value ||
             !__has_construct<allocator_type, _DestTp*, _SourceTp&>::value),
            void
        >::type
        __construct_range_forward(allocator_type&, _SourceTp* __begin1, _SourceTp* __end1, _DestTp*& __begin2)
        {
            ptrdiff_t _Np = __end1 - __begin1;
            if (_Np > 0)
            {
                std::__1::memcpy(const_cast<_RawDestTp*>(__begin2), __begin1, _Np * sizeof(_DestTp));
                __begin2 += _Np;
            }
        }

    template <class _Ptr>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static
        void
        __construct_backward(allocator_type& __a, _Ptr __begin1, _Ptr __end1, _Ptr& __end2)
        {
            while (__end1 != __begin1)
            {
                construct(__a, std::__1::__to_raw_pointer(__end2-1), std::__1::move_if_noexcept(*--__end1));
                --__end2;
            }
        }

    template <class _Tp>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static
        typename enable_if
        <
            (__is_default_allocator<allocator_type>::value
                || !__has_construct<allocator_type, _Tp*, _Tp>::value) &&
             is_trivially_move_constructible<_Tp>::value,
            void
        >::type
        __construct_backward(allocator_type&, _Tp* __begin1, _Tp* __end1, _Tp*& __end2)
        {
            ptrdiff_t _Np = __end1 - __begin1;
            __end2 -= _Np;
            if (_Np > 0)
                std::__1::memcpy(__end2, __begin1, _Np * sizeof(_Tp));
        }

private:

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static pointer __allocate(allocator_type& __a, size_type __n,
        const_void_pointer __hint, true_type)
        {return __a.allocate(__n, __hint);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static pointer __allocate(allocator_type& __a, size_type __n,
        const_void_pointer, false_type)
        {return __a.allocate(__n);}


    template <class _Tp, class... _Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static void __construct(true_type, allocator_type& __a, _Tp* __p, _Args&&... __args)
            {__a.construct(__p, std::__1::forward<_Args>(__args)...);}
    template <class _Tp, class... _Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static void __construct(false_type, allocator_type&, _Tp* __p, _Args&&... __args)
            {
                ::new ((void*)__p) _Tp(std::__1::forward<_Args>(__args)...);
            }
# 1740 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
    template <class _Tp>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static void __destroy(true_type, allocator_type& __a, _Tp* __p)
            {__a.destroy(__p);}
    template <class _Tp>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        static void __destroy(false_type, allocator_type&, _Tp* __p)
            {
                __p->~_Tp();
            }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static size_type __max_size(true_type, const allocator_type& __a) noexcept
            {return __a.max_size();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static size_type __max_size(false_type, const allocator_type&) noexcept
            {return numeric_limits<size_type>::max() / sizeof(value_type);}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static allocator_type
        __select_on_container_copy_construction(true_type, const allocator_type& __a)
            {return __a.select_on_container_copy_construction();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static allocator_type
        __select_on_container_copy_construction(false_type, const allocator_type& __a)
            {return __a;}
};

template <class _Traits, class _Tp>
struct __rebind_alloc_helper
{

    typedef typename _Traits::template rebind_alloc<_Tp> type;



};



template <class _Tp>
class __attribute__ ((__type_visibility__("default"))) allocator
{
public:
    typedef size_t size_type;
    typedef ptrdiff_t difference_type;
    typedef _Tp* pointer;
    typedef const _Tp* const_pointer;
    typedef _Tp& reference;
    typedef const _Tp& const_reference;
    typedef _Tp value_type;

    typedef true_type propagate_on_container_move_assignment;
    typedef true_type is_always_equal;

    template <class _Up> struct rebind {typedef allocator<_Up> other;};

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    allocator() noexcept {}

    template <class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    allocator(const allocator<_Up>&) noexcept {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) pointer address(reference __x) const noexcept
        {return std::__1::addressof(__x);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) const_pointer address(const_reference __x) const noexcept
        {return std::__1::addressof(__x);}
                                  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    pointer allocate(size_type __n, allocator<void>::const_pointer = 0)
        {
        if (__n > max_size())
            __throw_length_error("allocator<T>::allocate(size_t n)"
                                 " 'n' exceeds maximum supported size");
        return static_cast<pointer>(std::__1::__libcpp_allocate(__n * sizeof(_Tp), alignof(_Tp)));
        }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void deallocate(pointer __p, size_type __n) noexcept
        {std::__1::__libcpp_deallocate((void*)__p, __n * sizeof(_Tp), alignof(_Tp));}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) size_type max_size() const noexcept
        {return size_type(~0) / sizeof(_Tp);}

    template <class _Up, class... _Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        void
        construct(_Up* __p, _Args&&... __args)
        {
            ::new((void*)__p) _Up(std::__1::forward<_Args>(__args)...);
        }
# 1881 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void destroy(pointer __p) {__p->~_Tp();}
};

template <class _Tp>
class __attribute__ ((__type_visibility__("default"))) allocator<const _Tp>
{
public:
    typedef size_t size_type;
    typedef ptrdiff_t difference_type;
    typedef const _Tp* pointer;
    typedef const _Tp* const_pointer;
    typedef const _Tp& reference;
    typedef const _Tp& const_reference;
    typedef const _Tp value_type;

    typedef true_type propagate_on_container_move_assignment;
    typedef true_type is_always_equal;

    template <class _Up> struct rebind {typedef allocator<_Up> other;};

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    allocator() noexcept {}

    template <class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    allocator(const allocator<_Up>&) noexcept {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) const_pointer address(const_reference __x) const noexcept
        {return std::__1::addressof(__x);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) pointer allocate(size_type __n, allocator<void>::const_pointer = 0)
    {
        if (__n > max_size())
            __throw_length_error("allocator<const T>::allocate(size_t n)"
                                 " 'n' exceeds maximum supported size");
        return static_cast<pointer>(std::__1::__libcpp_allocate(__n * sizeof(_Tp), alignof(_Tp)));
    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void deallocate(pointer __p, size_type __n) noexcept
        {std::__1::__libcpp_deallocate((void*) const_cast<_Tp *>(__p), __n * sizeof(_Tp), alignof(_Tp));}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) size_type max_size() const noexcept
        {return size_type(~0) / sizeof(_Tp);}

    template <class _Up, class... _Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        void
        construct(_Up* __p, _Args&&... __args)
        {
            ::new((void*)__p) _Up(std::__1::forward<_Args>(__args)...);
        }
# 1982 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void destroy(pointer __p) {__p->~_Tp();}
};

template <class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool operator==(const allocator<_Tp>&, const allocator<_Up>&) noexcept {return true;}

template <class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool operator!=(const allocator<_Tp>&, const allocator<_Up>&) noexcept {return false;}

template <class _OutputIterator, class _Tp>
class __attribute__ ((__type_visibility__("default"))) raw_storage_iterator
    : public iterator<output_iterator_tag,
                      _Tp,
                      ptrdiff_t,
                      _Tp*,
                      raw_storage_iterator<_OutputIterator, _Tp>&>
{
private:
    _OutputIterator __x_;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit raw_storage_iterator(_OutputIterator __x) : __x_(__x) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) raw_storage_iterator& operator*() {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) raw_storage_iterator& operator=(const _Tp& __element)
        {::new(std::__1::addressof(*__x_)) _Tp(__element); return *this;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) raw_storage_iterator& operator=(_Tp&& __element)
        {::new(std::__1::addressof(*__x_)) _Tp(std::__1::move(__element)); return *this;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) raw_storage_iterator& operator++() {++__x_; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) raw_storage_iterator operator++(int)
        {raw_storage_iterator __t(*this); ++__x_; return __t;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) _OutputIterator base() const { return __x_; }

};

template <class _Tp>
                      __attribute__((__no_sanitize__("cfi")))
pair<_Tp*, ptrdiff_t>
get_temporary_buffer(ptrdiff_t __n) noexcept
{
    pair<_Tp*, ptrdiff_t> __r(0, 0);
    const ptrdiff_t __m = (~ptrdiff_t(0) ^
                           ptrdiff_t(ptrdiff_t(1) << (sizeof(ptrdiff_t) * 8 - 1)))
                           / sizeof(_Tp);
    if (__n > __m)
        __n = __m;
    while (__n > 0)
    {

    if (__is_overaligned_for_new(alignof(_Tp)))
        {
            std::align_val_t __al =
                std::align_val_t(std::alignment_of<_Tp>::value);
            __r.first = static_cast<_Tp*>(::operator new(
                __n * sizeof(_Tp), __al, nothrow));
        } else {
            __r.first = static_cast<_Tp*>(::operator new(
                __n * sizeof(_Tp), nothrow));
        }
# 2055 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
        if (__r.first)
        {
            __r.second = __n;
            break;
        }
        __n /= 2;
    }
    return __r;
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void return_temporary_buffer(_Tp* __p) noexcept
{
  std::__1::__libcpp_deallocate_unsized((void*)__p, alignof(_Tp));
}
# 2131 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template <class _Tp, int _Idx,
          bool _CanBeEmptyBase =
              is_empty<_Tp>::value && !__libcpp_is_final<_Tp>::value>
struct __compressed_pair_elem {
  typedef _Tp _ParamT;
  typedef _Tp& reference;
  typedef const _Tp& const_reference;


  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __compressed_pair_elem() : __value_() {}

  template <class _Up, class = typename enable_if<
      !is_same<__compressed_pair_elem, typename decay<_Up>::type>::value
  >::type>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  constexpr explicit
  __compressed_pair_elem(_Up&& __u)
      : __value_(std::__1::forward<_Up>(__u))
    {
    }

  template <class... _Args, size_t... _Indexes>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
  __compressed_pair_elem(piecewise_construct_t, tuple<_Args...> __args,
                         __tuple_indices<_Indexes...>)
      : __value_(std::__1::forward<_Args>(std::__1::get<_Indexes>(__args))...) {}






  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) reference __get() noexcept { return __value_; }
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  const_reference __get() const noexcept { return __value_; }

private:
  _Tp __value_;
};

template <class _Tp, int _Idx>
struct __compressed_pair_elem<_Tp, _Idx, true> : private _Tp {
  typedef _Tp _ParamT;
  typedef _Tp& reference;
  typedef const _Tp& const_reference;
  typedef _Tp __value_type;


  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr __compressed_pair_elem() = default;

  template <class _Up, class = typename enable_if<
        !is_same<__compressed_pair_elem, typename decay<_Up>::type>::value
  >::type>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  constexpr explicit
  __compressed_pair_elem(_Up&& __u)
      : __value_type(std::__1::forward<_Up>(__u))
  {}

  template <class... _Args, size_t... _Indexes>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
  __compressed_pair_elem(piecewise_construct_t, tuple<_Args...> __args,
                         __tuple_indices<_Indexes...>)
      : __value_type(std::__1::forward<_Args>(std::__1::get<_Indexes>(__args))...) {}







  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) reference __get() noexcept { return *this; }
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  const_reference __get() const noexcept { return *this; }
};


struct __second_tag {};

template <class _T1, class _T2>
class __compressed_pair : private __compressed_pair_elem<_T1, 0>,
                          private __compressed_pair_elem<_T2, 1> {
  typedef __compressed_pair_elem<_T1, 0> _Base1;
  typedef __compressed_pair_elem<_T2, 1> _Base2;





  static_assert((!is_same<_T1, _T2>::value),
    "__compressed_pair cannot be instantated when T1 and T2 are the same type; "
    "The current implementation is NOT ABI-compatible with the previous "
    "implementation for this configuration");

public:

  template <bool _Dummy = true,
      class = typename enable_if<
          __dependent_type<is_default_constructible<_T1>, _Dummy>::value &&
          __dependent_type<is_default_constructible<_T2>, _Dummy>::value
      >::type
  >
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  constexpr __compressed_pair() {}

  template <class _Tp, typename enable_if<!is_same<typename decay<_Tp>::type,
                                                   __compressed_pair>::value,
                                          bool>::type = true>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr explicit
  __compressed_pair(_Tp&& __t)
      : _Base1(std::forward<_Tp>(__t)), _Base2() {}

  template <class _Tp>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
  __compressed_pair(__second_tag, _Tp&& __t)
      : _Base1(), _Base2(std::forward<_Tp>(__t)) {}

  template <class _U1, class _U2>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
  __compressed_pair(_U1&& __t1, _U2&& __t2)
      : _Base1(std::forward<_U1>(__t1)), _Base2(std::forward<_U2>(__t2)) {}

  template <class... _Args1, class... _Args2>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
  __compressed_pair(piecewise_construct_t __pc, tuple<_Args1...> __first_args,
                    tuple<_Args2...> __second_args)
      : _Base1(__pc, std::__1::move(__first_args),
               typename __make_tuple_indices<sizeof...(_Args1)>::type()),
        _Base2(__pc, std::__1::move(__second_args),
               typename __make_tuple_indices<sizeof...(_Args2)>::type()) {}
# 2278 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  typename _Base1::reference first() noexcept {
    return static_cast<_Base1&>(*this).__get();
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  typename _Base1::const_reference first() const noexcept {
    return static_cast<_Base1 const&>(*this).__get();
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  typename _Base2::reference second() noexcept {
    return static_cast<_Base2&>(*this).__get();
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  typename _Base2::const_reference second() const noexcept {
    return static_cast<_Base2 const&>(*this).__get();
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  void swap(__compressed_pair& __x)
    noexcept(__is_nothrow_swappable<_T1>::value && __is_nothrow_swappable<_T2>::value)

  {
    using std::swap;
    swap(first(), __x.first());
    swap(second(), __x.second());
  }
};

template <class _T1, class _T2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void swap(__compressed_pair<_T1, _T2>& __x, __compressed_pair<_T1, _T2>& __y)
    noexcept(__is_nothrow_swappable<_T1>::value && __is_nothrow_swappable<_T2>::value) {

  __x.swap(__y);
}



template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) default_delete {
    static_assert(!is_function<_Tp>::value,
                  "default_delete cannot be instantiated for function types");

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr default_delete() noexcept = default;



  template <class _Up>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  default_delete(const default_delete<_Up>&,
                 typename enable_if<is_convertible<_Up*, _Tp*>::value>::type* =
                     0) noexcept {}

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void operator()(_Tp* __ptr) const noexcept {
    static_assert(sizeof(_Tp) > 0,
                  "default_delete can not delete incomplete type");
    static_assert(!is_void<_Tp>::value,
                  "default_delete can not delete incomplete type");
    delete __ptr;
  }
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) default_delete<_Tp[]> {
private:
  template <class _Up>
  struct _EnableIfConvertible
      : enable_if<is_convertible<_Up(*)[], _Tp(*)[]>::value> {};

public:

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr default_delete() noexcept = default;




  template <class _Up>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  default_delete(const default_delete<_Up[]>&,
                 typename _EnableIfConvertible<_Up>::type* = 0) noexcept {}

  template <class _Up>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  typename _EnableIfConvertible<_Up>::type
  operator()(_Up* __ptr) const noexcept {
    static_assert(sizeof(_Tp) > 0,
                  "default_delete can not delete incomplete type");
    static_assert(!is_void<_Tp>::value,
                  "default_delete can not delete void type");
    delete[] __ptr;
  }
};




template <class _Deleter>
struct __unique_ptr_deleter_sfinae {
  static_assert(!is_reference<_Deleter>::value, "incorrect specialization");
  typedef const _Deleter& __lval_ref_type;
  typedef _Deleter&& __good_rval_ref_type;
  typedef true_type __enable_rval_overload;
};

template <class _Deleter>
struct __unique_ptr_deleter_sfinae<_Deleter const&> {
  typedef const _Deleter& __lval_ref_type;
  typedef const _Deleter&& __bad_rval_ref_type;
  typedef false_type __enable_rval_overload;
};

template <class _Deleter>
struct __unique_ptr_deleter_sfinae<_Deleter&> {
  typedef _Deleter& __lval_ref_type;
  typedef _Deleter&& __bad_rval_ref_type;
  typedef false_type __enable_rval_overload;
};


template <class _Tp, class _Dp = default_delete<_Tp> >
class __attribute__ ((__type_visibility__("default"))) unique_ptr {
public:
  typedef _Tp element_type;
  typedef _Dp deleter_type;
  typedef typename __pointer_type<_Tp, deleter_type>::type pointer;

  static_assert(!is_rvalue_reference<deleter_type>::value,
                "the specified deleter type cannot be an rvalue reference");

private:
  __compressed_pair<pointer, deleter_type> __ptr_;

  struct __nat { int __for_bool_; };


  typedef __unique_ptr_deleter_sfinae<_Dp> _DeleterSFINAE;

  template <bool _Dummy>
  using _LValRefType =
      typename __dependent_type<_DeleterSFINAE, _Dummy>::__lval_ref_type;

  template <bool _Dummy>
  using _GoodRValRefType =
      typename __dependent_type<_DeleterSFINAE, _Dummy>::__good_rval_ref_type;

  template <bool _Dummy>
  using _BadRValRefType =
      typename __dependent_type<_DeleterSFINAE, _Dummy>::__bad_rval_ref_type;

  template <bool _Dummy, class _Deleter = typename __dependent_type<
                             __identity<deleter_type>, _Dummy>::type>
  using _EnableIfDeleterDefaultConstructible =
      typename enable_if<is_default_constructible<_Deleter>::value &&
                         !is_pointer<_Deleter>::value>::type;

  template <class _ArgType>
  using _EnableIfDeleterConstructible =
      typename enable_if<is_constructible<deleter_type, _ArgType>::value>::type;

  template <class _UPtr, class _Up>
  using _EnableIfMoveConvertible = typename enable_if<
      is_convertible<typename _UPtr::pointer, pointer>::value &&
      !is_array<_Up>::value
  >::type;

  template <class _UDel>
  using _EnableIfDeleterConvertible = typename enable_if<
      (is_reference<_Dp>::value && is_same<_Dp, _UDel>::value) ||
      (!is_reference<_Dp>::value && is_convertible<_UDel, _Dp>::value)
    >::type;

  template <class _UDel>
  using _EnableIfDeleterAssignable = typename enable_if<
      is_assignable<_Dp&, _UDel&&>::value
    >::type;

public:
  template <bool _Dummy = true,
            class = _EnableIfDeleterDefaultConstructible<_Dummy>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  constexpr unique_ptr() noexcept : __ptr_(pointer()) {}

  template <bool _Dummy = true,
            class = _EnableIfDeleterDefaultConstructible<_Dummy>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  constexpr unique_ptr(nullptr_t) noexcept : __ptr_(pointer()) {}

  template <bool _Dummy = true,
            class = _EnableIfDeleterDefaultConstructible<_Dummy>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  explicit unique_ptr(pointer __p) noexcept : __ptr_(__p) {}

  template <bool _Dummy = true,
            class = _EnableIfDeleterConstructible<_LValRefType<_Dummy>>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(pointer __p, _LValRefType<_Dummy> __d) noexcept
      : __ptr_(__p, __d) {}

  template <bool _Dummy = true,
            class = _EnableIfDeleterConstructible<_GoodRValRefType<_Dummy>>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(pointer __p, _GoodRValRefType<_Dummy> __d) noexcept
      : __ptr_(__p, std::__1::move(__d)) {
    static_assert(!is_reference<deleter_type>::value,
                  "rvalue deleter bound to reference");
  }

  template <bool _Dummy = true,
            class = _EnableIfDeleterConstructible<_BadRValRefType<_Dummy>>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(pointer __p, _BadRValRefType<_Dummy> __d) = delete;

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(unique_ptr&& __u) noexcept
      : __ptr_(__u.release(), std::__1::forward<deleter_type>(__u.get_deleter())) {
  }

  template <class _Up, class _Ep,
      class = _EnableIfMoveConvertible<unique_ptr<_Up, _Ep>, _Up>,
      class = _EnableIfDeleterConvertible<_Ep>
  >
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(unique_ptr<_Up, _Ep>&& __u) noexcept
      : __ptr_(__u.release(), std::__1::forward<_Ep>(__u.get_deleter())) {}
# 2516 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr& operator=(unique_ptr&& __u) noexcept {
    reset(__u.release());
    __ptr_.second() = std::__1::forward<deleter_type>(__u.get_deleter());
    return *this;
  }

  template <class _Up, class _Ep,
      class = _EnableIfMoveConvertible<unique_ptr<_Up, _Ep>, _Up>,
      class = _EnableIfDeleterAssignable<_Ep>
  >
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr& operator=(unique_ptr<_Up, _Ep>&& __u) noexcept {
    reset(__u.release());
    __ptr_.second() = std::__1::forward<_Ep>(__u.get_deleter());
    return *this;
  }
# 2605 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  ~unique_ptr() { reset(); }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr& operator=(nullptr_t) noexcept {
    reset();
    return *this;
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  typename add_lvalue_reference<_Tp>::type
  operator*() const {
    return *__ptr_.first();
  }
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  pointer operator->() const noexcept {
    return __ptr_.first();
  }
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  pointer get() const noexcept {
    return __ptr_.first();
  }
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  deleter_type& get_deleter() noexcept {
    return __ptr_.second();
  }
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  const deleter_type& get_deleter() const noexcept {
    return __ptr_.second();
  }
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  explicit operator bool() const noexcept {
    return __ptr_.first() != nullptr;
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  pointer release() noexcept {
    pointer __t = __ptr_.first();
    __ptr_.first() = pointer();
    return __t;
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  void reset(pointer __p = pointer()) noexcept {
    pointer __tmp = __ptr_.first();
    __ptr_.first() = __p;
    if (__tmp)
      __ptr_.second()(__tmp);
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  void swap(unique_ptr& __u) noexcept {
    __ptr_.swap(__u.__ptr_);
  }
};


template <class _Tp, class _Dp>
class __attribute__ ((__type_visibility__("default"))) unique_ptr<_Tp[], _Dp> {
public:
  typedef _Tp element_type;
  typedef _Dp deleter_type;
  typedef typename __pointer_type<_Tp, deleter_type>::type pointer;

private:
  __compressed_pair<pointer, deleter_type> __ptr_;

  template <class _From>
  struct _CheckArrayPointerConversion : is_same<_From, pointer> {};

  template <class _FromElem>
  struct _CheckArrayPointerConversion<_FromElem*>
      : integral_constant<bool,
          is_same<_FromElem*, pointer>::value ||
            (is_same<pointer, element_type*>::value &&
             is_convertible<_FromElem(*)[], element_type(*)[]>::value)
      >
  {};


  typedef __unique_ptr_deleter_sfinae<_Dp> _DeleterSFINAE;

  template <bool _Dummy>
  using _LValRefType =
      typename __dependent_type<_DeleterSFINAE, _Dummy>::__lval_ref_type;

  template <bool _Dummy>
  using _GoodRValRefType =
      typename __dependent_type<_DeleterSFINAE, _Dummy>::__good_rval_ref_type;

  template <bool _Dummy>
  using _BadRValRefType =
      typename __dependent_type<_DeleterSFINAE, _Dummy>::__bad_rval_ref_type;

  template <bool _Dummy, class _Deleter = typename __dependent_type<
                             __identity<deleter_type>, _Dummy>::type>
  using _EnableIfDeleterDefaultConstructible =
      typename enable_if<is_default_constructible<_Deleter>::value &&
                         !is_pointer<_Deleter>::value>::type;

  template <class _ArgType>
  using _EnableIfDeleterConstructible =
      typename enable_if<is_constructible<deleter_type, _ArgType>::value>::type;

  template <class _Pp>
  using _EnableIfPointerConvertible = typename enable_if<
      _CheckArrayPointerConversion<_Pp>::value
  >::type;

  template <class _UPtr, class _Up,
        class _ElemT = typename _UPtr::element_type>
  using _EnableIfMoveConvertible = typename enable_if<
      is_array<_Up>::value &&
      is_same<pointer, element_type*>::value &&
      is_same<typename _UPtr::pointer, _ElemT*>::value &&
      is_convertible<_ElemT(*)[], element_type(*)[]>::value
    >::type;

  template <class _UDel>
  using _EnableIfDeleterConvertible = typename enable_if<
      (is_reference<_Dp>::value && is_same<_Dp, _UDel>::value) ||
      (!is_reference<_Dp>::value && is_convertible<_UDel, _Dp>::value)
    >::type;

  template <class _UDel>
  using _EnableIfDeleterAssignable = typename enable_if<
      is_assignable<_Dp&, _UDel&&>::value
    >::type;

public:
  template <bool _Dummy = true,
            class = _EnableIfDeleterDefaultConstructible<_Dummy>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  constexpr unique_ptr() noexcept : __ptr_(pointer()) {}

  template <bool _Dummy = true,
            class = _EnableIfDeleterDefaultConstructible<_Dummy>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  constexpr unique_ptr(nullptr_t) noexcept : __ptr_(pointer()) {}

  template <class _Pp, bool _Dummy = true,
            class = _EnableIfDeleterDefaultConstructible<_Dummy>,
            class = _EnableIfPointerConvertible<_Pp>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  explicit unique_ptr(_Pp __p) noexcept
      : __ptr_(__p) {}

  template <class _Pp, bool _Dummy = true,
            class = _EnableIfDeleterConstructible<_LValRefType<_Dummy>>,
            class = _EnableIfPointerConvertible<_Pp>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(_Pp __p, _LValRefType<_Dummy> __d) noexcept
      : __ptr_(__p, __d) {}

  template <bool _Dummy = true,
            class = _EnableIfDeleterConstructible<_LValRefType<_Dummy>>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(nullptr_t, _LValRefType<_Dummy> __d) noexcept
      : __ptr_(nullptr, __d) {}

  template <class _Pp, bool _Dummy = true,
            class = _EnableIfDeleterConstructible<_GoodRValRefType<_Dummy>>,
            class = _EnableIfPointerConvertible<_Pp>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(_Pp __p, _GoodRValRefType<_Dummy> __d) noexcept
      : __ptr_(__p, std::__1::move(__d)) {
    static_assert(!is_reference<deleter_type>::value,
                  "rvalue deleter bound to reference");
  }

  template <bool _Dummy = true,
            class = _EnableIfDeleterConstructible<_GoodRValRefType<_Dummy>>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(nullptr_t, _GoodRValRefType<_Dummy> __d) noexcept
      : __ptr_(nullptr, std::__1::move(__d)) {
    static_assert(!is_reference<deleter_type>::value,
                  "rvalue deleter bound to reference");
  }

  template <class _Pp, bool _Dummy = true,
            class = _EnableIfDeleterConstructible<_BadRValRefType<_Dummy>>,
            class = _EnableIfPointerConvertible<_Pp>>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(_Pp __p, _BadRValRefType<_Dummy> __d) = delete;

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(unique_ptr&& __u) noexcept
      : __ptr_(__u.release(), std::__1::forward<deleter_type>(__u.get_deleter())) {
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr& operator=(unique_ptr&& __u) noexcept {
    reset(__u.release());
    __ptr_.second() = std::__1::forward<deleter_type>(__u.get_deleter());
    return *this;
  }

  template <class _Up, class _Ep,
      class = _EnableIfMoveConvertible<unique_ptr<_Up, _Ep>, _Up>,
      class = _EnableIfDeleterConvertible<_Ep>
  >
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr(unique_ptr<_Up, _Ep>&& __u) noexcept
      : __ptr_(__u.release(), std::__1::forward<_Ep>(__u.get_deleter())) {
  }

  template <class _Up, class _Ep,
      class = _EnableIfMoveConvertible<unique_ptr<_Up, _Ep>, _Up>,
      class = _EnableIfDeleterAssignable<_Ep>
  >
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr&
  operator=(unique_ptr<_Up, _Ep>&& __u) noexcept {
    reset(__u.release());
    __ptr_.second() = std::__1::forward<_Ep>(__u.get_deleter());
    return *this;
  }
# 2885 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
public:
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  ~unique_ptr() { reset(); }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  unique_ptr& operator=(nullptr_t) noexcept {
    reset();
    return *this;
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  typename add_lvalue_reference<_Tp>::type
  operator[](size_t __i) const {
    return __ptr_.first()[__i];
  }
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  pointer get() const noexcept {
    return __ptr_.first();
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  deleter_type& get_deleter() noexcept {
    return __ptr_.second();
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  const deleter_type& get_deleter() const noexcept {
    return __ptr_.second();
  }
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  explicit operator bool() const noexcept {
    return __ptr_.first() != nullptr;
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  pointer release() noexcept {
    pointer __t = __ptr_.first();
    __ptr_.first() = pointer();
    return __t;
  }

  template <class _Pp>
  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  typename enable_if<
      _CheckArrayPointerConversion<_Pp>::value
  >::type
  reset(_Pp __p) noexcept {
    pointer __tmp = __ptr_.first();
    __ptr_.first() = __p;
    if (__tmp)
      __ptr_.second()(__tmp);
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  void reset(nullptr_t = nullptr) noexcept {
    pointer __tmp = __ptr_.first();
    __ptr_.first() = nullptr;
    if (__tmp)
      __ptr_.second()(__tmp);
  }

  __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
  void swap(unique_ptr& __u) noexcept {
    __ptr_.swap(__u.__ptr_);
  }

};

template <class _Tp, class _Dp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if<
    __is_swappable<_Dp>::value,
    void
>::type
swap(unique_ptr<_Tp, _Dp>& __x, unique_ptr<_Tp, _Dp>& __y) noexcept {__x.swap(__y);}

template <class _T1, class _D1, class _T2, class _D2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator==(const unique_ptr<_T1, _D1>& __x, const unique_ptr<_T2, _D2>& __y) {return __x.get() == __y.get();}

template <class _T1, class _D1, class _T2, class _D2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(const unique_ptr<_T1, _D1>& __x, const unique_ptr<_T2, _D2>& __y) {return !(__x == __y);}

template <class _T1, class _D1, class _T2, class _D2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator< (const unique_ptr<_T1, _D1>& __x, const unique_ptr<_T2, _D2>& __y)
{
    typedef typename unique_ptr<_T1, _D1>::pointer _P1;
    typedef typename unique_ptr<_T2, _D2>::pointer _P2;
    typedef typename common_type<_P1, _P2>::type _Vp;
    return less<_Vp>()(__x.get(), __y.get());
}

template <class _T1, class _D1, class _T2, class _D2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator> (const unique_ptr<_T1, _D1>& __x, const unique_ptr<_T2, _D2>& __y) {return __y < __x;}

template <class _T1, class _D1, class _T2, class _D2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<=(const unique_ptr<_T1, _D1>& __x, const unique_ptr<_T2, _D2>& __y) {return !(__y < __x);}

template <class _T1, class _D1, class _T2, class _D2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>=(const unique_ptr<_T1, _D1>& __x, const unique_ptr<_T2, _D2>& __y) {return !(__x < __y);}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator==(const unique_ptr<_T1, _D1>& __x, nullptr_t) noexcept
{
    return !__x;
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator==(nullptr_t, const unique_ptr<_T1, _D1>& __x) noexcept
{
    return !__x;
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(const unique_ptr<_T1, _D1>& __x, nullptr_t) noexcept
{
    return static_cast<bool>(__x);
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(nullptr_t, const unique_ptr<_T1, _D1>& __x) noexcept
{
    return static_cast<bool>(__x);
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<(const unique_ptr<_T1, _D1>& __x, nullptr_t)
{
    typedef typename unique_ptr<_T1, _D1>::pointer _P1;
    return less<_P1>()(__x.get(), nullptr);
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<(nullptr_t, const unique_ptr<_T1, _D1>& __x)
{
    typedef typename unique_ptr<_T1, _D1>::pointer _P1;
    return less<_P1>()(nullptr, __x.get());
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>(const unique_ptr<_T1, _D1>& __x, nullptr_t)
{
    return nullptr < __x;
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>(nullptr_t, const unique_ptr<_T1, _D1>& __x)
{
    return __x < nullptr;
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<=(const unique_ptr<_T1, _D1>& __x, nullptr_t)
{
    return !(nullptr < __x);
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<=(nullptr_t, const unique_ptr<_T1, _D1>& __x)
{
    return !(__x < nullptr);
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>=(const unique_ptr<_T1, _D1>& __x, nullptr_t)
{
    return !(__x < nullptr);
}

template <class _T1, class _D1>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>=(nullptr_t, const unique_ptr<_T1, _D1>& __x)
{
    return !(nullptr < __x);
}
# 3109 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template<class _Tp>
struct __unique_if
{
    typedef unique_ptr<_Tp> __unique_single;
};

template<class _Tp>
struct __unique_if<_Tp[]>
{
    typedef unique_ptr<_Tp[]> __unique_array_unknown_bound;
};

template<class _Tp, size_t _Np>
struct __unique_if<_Tp[_Np]>
{
    typedef void __unique_array_known_bound;
};

template<class _Tp, class... _Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename __unique_if<_Tp>::__unique_single
make_unique(_Args&&... __args)
{
    return unique_ptr<_Tp>(new _Tp(std::__1::forward<_Args>(__args)...));
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename __unique_if<_Tp>::__unique_array_unknown_bound
make_unique(size_t __n)
{
    typedef typename remove_extent<_Tp>::type _Up;
    return unique_ptr<_Tp>(new _Up[__n]());
}

template<class _Tp, class... _Args>
    typename __unique_if<_Tp>::__unique_array_known_bound
    make_unique(_Args&&...) = delete;



template <class _Tp, class _Dp>



struct __attribute__ ((__type_visibility__("default"))) hash<__enable_hash_helper<
    unique_ptr<_Tp, _Dp>, typename unique_ptr<_Tp, _Dp>::pointer>>

{
    typedef unique_ptr<_Tp, _Dp> argument_type;
    typedef size_t result_type;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    result_type operator()(const argument_type& __ptr) const
    {
        typedef typename argument_type::pointer pointer;
        return hash<pointer>()(__ptr.get());
    }
};

struct __destruct_n
{
private:
    size_t __size_;

    template <class _Tp>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __process(_Tp* __p, false_type) noexcept
        {for (size_t __i = 0; __i < __size_; ++__i, ++__p) __p->~_Tp();}

    template <class _Tp>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __process(_Tp*, true_type) noexcept
        {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __incr(false_type) noexcept
        {++__size_;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __incr(true_type) noexcept
        {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __set(size_t __s, false_type) noexcept
        {__size_ = __s;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __set(size_t, true_type) noexcept
        {}
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit __destruct_n(size_t __s) noexcept
        : __size_(__s) {}

    template <class _Tp>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __incr(_Tp*) noexcept
        {__incr(integral_constant<bool, is_trivially_destructible<_Tp>::value>());}

    template <class _Tp>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __set(size_t __s, _Tp*) noexcept
        {__set(__s, integral_constant<bool, is_trivially_destructible<_Tp>::value>());}

    template <class _Tp>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void operator()(_Tp* __p) noexcept
        {__process(__p, integral_constant<bool, is_trivially_destructible<_Tp>::value>());}
};

template <class _Alloc>
class __allocator_destructor
{
    typedef allocator_traits<_Alloc> __alloc_traits;
public:
    typedef typename __alloc_traits::pointer pointer;
    typedef typename __alloc_traits::size_type size_type;
private:
    _Alloc& __alloc_;
    size_type __s_;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __allocator_destructor(_Alloc& __a, size_type __s)
             noexcept
        : __alloc_(__a), __s_(__s) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void operator()(pointer __p) noexcept
        {__alloc_traits::deallocate(__alloc_, __p, __s_);}
};

template <class _InputIterator, class _ForwardIterator>
_ForwardIterator
uninitialized_copy(_InputIterator __f, _InputIterator __l, _ForwardIterator __r)
{
    typedef typename iterator_traits<_ForwardIterator>::value_type value_type;

    _ForwardIterator __s = __r;
    try
    {

        for (; __f != __l; ++__f, (void) ++__r)
            ::new (static_cast<void*>(std::__1::addressof(*__r))) value_type(*__f);

    }
    catch (...)
    {
        for (; __s != __r; ++__s)
            __s->~value_type();
        throw;
    }

    return __r;
}

template <class _InputIterator, class _Size, class _ForwardIterator>
_ForwardIterator
uninitialized_copy_n(_InputIterator __f, _Size __n, _ForwardIterator __r)
{
    typedef typename iterator_traits<_ForwardIterator>::value_type value_type;

    _ForwardIterator __s = __r;
    try
    {

        for (; __n > 0; ++__f, (void) ++__r, (void) --__n)
            ::new (static_cast<void*>(std::__1::addressof(*__r))) value_type(*__f);

    }
    catch (...)
    {
        for (; __s != __r; ++__s)
            __s->~value_type();
        throw;
    }

    return __r;
}

template <class _ForwardIterator, class _Tp>
void
uninitialized_fill(_ForwardIterator __f, _ForwardIterator __l, const _Tp& __x)
{
    typedef typename iterator_traits<_ForwardIterator>::value_type value_type;

    _ForwardIterator __s = __f;
    try
    {

        for (; __f != __l; ++__f)
            ::new (static_cast<void*>(std::__1::addressof(*__f))) value_type(__x);

    }
    catch (...)
    {
        for (; __s != __f; ++__s)
            __s->~value_type();
        throw;
    }

}

template <class _ForwardIterator, class _Size, class _Tp>
_ForwardIterator
uninitialized_fill_n(_ForwardIterator __f, _Size __n, const _Tp& __x)
{
    typedef typename iterator_traits<_ForwardIterator>::value_type value_type;

    _ForwardIterator __s = __f;
    try
    {

        for (; __n > 0; ++__f, (void) --__n)
            ::new (static_cast<void*>(std::__1::addressof(*__f))) value_type(__x);

    }
    catch (...)
    {
        for (; __s != __f; ++__s)
            __s->~value_type();
        throw;
    }

    return __f;
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void destroy_at(_Tp* __loc) {
    ((void)0);
    __loc->~_Tp();
}

template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void destroy(_ForwardIterator __first, _ForwardIterator __last) {
    for (; __first != __last; ++__first)
        std::__1::destroy_at(std::__1::addressof(*__first));
}

template <class _ForwardIterator, class _Size>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator destroy_n(_ForwardIterator __first, _Size __n) {
    for (; __n > 0; (void)++__first, --__n)
        std::__1::destroy_at(std::__1::addressof(*__first));
    return __first;
}

template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void uninitialized_default_construct(_ForwardIterator __first, _ForwardIterator __last) {
    using _Vt = typename iterator_traits<_ForwardIterator>::value_type;
    auto __idx = __first;

    try {

    for (; __idx != __last; ++__idx)
        ::new((void*)std::__1::addressof(*__idx)) _Vt;

    } catch (...) {
        std::__1::destroy(__first, __idx);
        throw;
    }

}

template <class _ForwardIterator, class _Size>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator uninitialized_default_construct_n(_ForwardIterator __first, _Size __n) {
    using _Vt = typename iterator_traits<_ForwardIterator>::value_type;
    auto __idx = __first;

    try {

    for (; __n > 0; (void)++__idx, --__n)
        ::new((void*)std::__1::addressof(*__idx)) _Vt;
    return __idx;

    } catch (...) {
        std::__1::destroy(__first, __idx);
        throw;
    }

}


template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void uninitialized_value_construct(_ForwardIterator __first, _ForwardIterator __last) {
    using _Vt = typename iterator_traits<_ForwardIterator>::value_type;
    auto __idx = __first;

    try {

    for (; __idx != __last; ++__idx)
        ::new((void*)std::__1::addressof(*__idx)) _Vt();

    } catch (...) {
        std::__1::destroy(__first, __idx);
        throw;
    }

}

template <class _ForwardIterator, class _Size>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator uninitialized_value_construct_n(_ForwardIterator __first, _Size __n) {
    using _Vt = typename iterator_traits<_ForwardIterator>::value_type;
    auto __idx = __first;

    try {

    for (; __n > 0; (void)++__idx, --__n)
        ::new((void*)std::__1::addressof(*__idx)) _Vt();
    return __idx;

    } catch (...) {
        std::__1::destroy(__first, __idx);
        throw;
    }

}


template <class _InputIt, class _ForwardIt>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIt uninitialized_move(_InputIt __first, _InputIt __last, _ForwardIt __first_res) {
    using _Vt = typename iterator_traits<_ForwardIt>::value_type;
    auto __idx = __first_res;

    try {

    for (; __first != __last; (void)++__idx, ++__first)
        ::new((void*)std::__1::addressof(*__idx)) _Vt(std::move(*__first));
    return __idx;

    } catch (...) {
        std::__1::destroy(__first_res, __idx);
        throw;
    }

}

template <class _InputIt, class _Size, class _ForwardIt>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
pair<_InputIt, _ForwardIt>
uninitialized_move_n(_InputIt __first, _Size __n, _ForwardIt __first_res) {
    using _Vt = typename iterator_traits<_ForwardIt>::value_type;
    auto __idx = __first_res;

    try {

    for (; __n > 0; ++__idx, (void)++__first, --__n)
        ::new((void*)std::__1::addressof(*__idx)) _Vt(std::move(*__first));
    return {__first, __idx};

    } catch (...) {
        std::__1::destroy(__first_res, __idx);
        throw;
    }

}
# 3474 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) _Tp
__libcpp_atomic_refcount_increment(_Tp& __t) noexcept
{

    return __atomic_add_fetch(&__t, 1, 0);



}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) _Tp
__libcpp_atomic_refcount_decrement(_Tp& __t) noexcept
{

    return __atomic_add_fetch(&__t, -1, 4);



}

class __attribute__ ((__visibility__("default"))) bad_weak_ptr
    : public std::exception
{
public:
    virtual ~bad_weak_ptr() noexcept;
    virtual const char* what() const noexcept;
};

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_bad_weak_ptr()
{

    throw bad_weak_ptr();



}

template<class _Tp> class __attribute__ ((__type_visibility__("default"))) weak_ptr;

class __attribute__ ((__visibility__("default"))) __shared_count
{
    __shared_count(const __shared_count&);
    __shared_count& operator=(const __shared_count&);

protected:
    long __shared_owners_;
    virtual ~__shared_count();
private:
    virtual void __on_zero_shared() noexcept = 0;

public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __shared_count(long __refs = 0) noexcept
        : __shared_owners_(__refs) {}






    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void __add_shared() noexcept {
      __libcpp_atomic_refcount_increment(__shared_owners_);
    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool __release_shared() noexcept {
      if (__libcpp_atomic_refcount_decrement(__shared_owners_) == -1) {
        __on_zero_shared();
        return true;
      }
      return false;
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    long use_count() const noexcept {
        return __libcpp_relaxed_load(&__shared_owners_) + 1;
    }
};

class __attribute__ ((__visibility__("default"))) __shared_weak_count
    : private __shared_count
{
    long __shared_weak_owners_;

public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __shared_weak_count(long __refs = 0) noexcept
        : __shared_count(__refs),
          __shared_weak_owners_(__refs) {}
protected:
    virtual ~__shared_weak_count();

public:






    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void __add_shared() noexcept {
      __shared_count::__add_shared();
    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void __add_weak() noexcept {
      __libcpp_atomic_refcount_increment(__shared_weak_owners_);
    }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void __release_shared() noexcept {
      if (__shared_count::__release_shared())
        __release_weak();
    }

    void __release_weak() noexcept;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    long use_count() const noexcept {return __shared_count::use_count();}
    __shared_weak_count* lock() noexcept;






    virtual const void* __get_deleter(const type_info&) const noexcept;

private:
    virtual void __on_zero_shared_weak() noexcept = 0;
};

template <class _Tp, class _Dp, class _Alloc>
class __shared_ptr_pointer
    : public __shared_weak_count
{
    __compressed_pair<__compressed_pair<_Tp, _Dp>, _Alloc> __data_;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __shared_ptr_pointer(_Tp __p, _Dp __d, _Alloc __a)
        : __data_(__compressed_pair<_Tp, _Dp>(__p, std::__1::move(__d)), std::__1::move(__a)) {}


    virtual const void* __get_deleter(const type_info&) const noexcept;


private:
    virtual void __on_zero_shared() noexcept;
    virtual void __on_zero_shared_weak() noexcept;
};



template <class _Tp, class _Dp, class _Alloc>
const void*
__shared_ptr_pointer<_Tp, _Dp, _Alloc>::__get_deleter(const type_info& __t) const noexcept
{
    return __t == typeid(_Dp) ? std::__1::addressof(__data_.first().second()) : nullptr;
}



template <class _Tp, class _Dp, class _Alloc>
void
__shared_ptr_pointer<_Tp, _Dp, _Alloc>::__on_zero_shared() noexcept
{
    __data_.first().second()(__data_.first().first());
    __data_.first().second().~_Dp();
}

template <class _Tp, class _Dp, class _Alloc>
void
__shared_ptr_pointer<_Tp, _Dp, _Alloc>::__on_zero_shared_weak() noexcept
{
    typedef typename __allocator_traits_rebind<_Alloc, __shared_ptr_pointer>::type _Al;
    typedef allocator_traits<_Al> _ATraits;
    typedef pointer_traits<typename _ATraits::pointer> _PTraits;

    _Al __a(__data_.second());
    __data_.second().~_Alloc();
    __a.deallocate(_PTraits::pointer_to(*this), 1);
}

template <class _Tp, class _Alloc>
class __shared_ptr_emplace
    : public __shared_weak_count
{
    __compressed_pair<_Alloc, _Tp> __data_;
public:


    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __shared_ptr_emplace(_Alloc __a)
        : __data_(std::__1::move(__a)) {}

    template <class ..._Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        __shared_ptr_emplace(_Alloc __a, _Args&& ...__args)
            : __data_(piecewise_construct, std::__1::forward_as_tuple(__a),
                   std::__1::forward_as_tuple(std::__1::forward<_Args>(__args)...)) {}
# 3698 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
private:
    virtual void __on_zero_shared() noexcept;
    virtual void __on_zero_shared_weak() noexcept;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp* get() noexcept {return std::__1::addressof(__data_.second());}
};

template <class _Tp, class _Alloc>
void
__shared_ptr_emplace<_Tp, _Alloc>::__on_zero_shared() noexcept
{
    __data_.second().~_Tp();
}

template <class _Tp, class _Alloc>
void
__shared_ptr_emplace<_Tp, _Alloc>::__on_zero_shared_weak() noexcept
{
    typedef typename __allocator_traits_rebind<_Alloc, __shared_ptr_emplace>::type _Al;
    typedef allocator_traits<_Al> _ATraits;
    typedef pointer_traits<typename _ATraits::pointer> _PTraits;
    _Al __a(__data_.first());
    __data_.first().~_Alloc();
    __a.deallocate(_PTraits::pointer_to(*this), 1);
}

struct __shared_ptr_dummy_rebind_allocator_type;
template <>
class __attribute__ ((__type_visibility__("default"))) allocator<__shared_ptr_dummy_rebind_allocator_type>
{
public:
    template <class _Other>
    struct rebind
    {
        typedef allocator<_Other> other;
    };
};

template<class _Tp> class __attribute__ ((__type_visibility__("default"))) enable_shared_from_this;

template<class _Tp>
class __attribute__ ((__type_visibility__("default"))) shared_ptr
{
public:
    typedef _Tp element_type;


    typedef weak_ptr<_Tp> weak_type;

private:
    element_type* __ptr_;
    __shared_weak_count* __cntrl_;

    struct __nat {int __for_bool_;};
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr shared_ptr() noexcept;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr shared_ptr(nullptr_t) noexcept;
    template<class _Yp>
        explicit shared_ptr(_Yp* __p,
                            typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type = __nat());
    template<class _Yp, class _Dp>
        shared_ptr(_Yp* __p, _Dp __d,
                   typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type = __nat());
    template<class _Yp, class _Dp, class _Alloc>
        shared_ptr(_Yp* __p, _Dp __d, _Alloc __a,
                   typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type = __nat());
    template <class _Dp> shared_ptr(nullptr_t __p, _Dp __d);
    template <class _Dp, class _Alloc> shared_ptr(nullptr_t __p, _Dp __d, _Alloc __a);
    template<class _Yp> __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) shared_ptr(const shared_ptr<_Yp>& __r, element_type* __p) noexcept;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    shared_ptr(const shared_ptr& __r) noexcept;
    template<class _Yp>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        shared_ptr(const shared_ptr<_Yp>& __r,
                   typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type = __nat())
                       noexcept;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    shared_ptr(shared_ptr&& __r) noexcept;
    template<class _Yp> __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) shared_ptr(shared_ptr<_Yp>&& __r,
                   typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type = __nat())
                       noexcept;

    template<class _Yp> explicit shared_ptr(const weak_ptr<_Yp>& __r,
                   typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type= __nat());
# 3798 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
    template <class _Yp, class _Dp>
        shared_ptr(unique_ptr<_Yp, _Dp>&&,
                   typename enable_if
                   <
                       !is_lvalue_reference<_Dp>::value &&
                       !is_array<_Yp>::value &&
                       is_convertible<typename unique_ptr<_Yp, _Dp>::pointer, element_type*>::value,
                       __nat
                   >::type = __nat());
    template <class _Yp, class _Dp>
        shared_ptr(unique_ptr<_Yp, _Dp>&&,
                   typename enable_if
                   <
                       is_lvalue_reference<_Dp>::value &&
                       !is_array<_Yp>::value &&
                       is_convertible<typename unique_ptr<_Yp, _Dp>::pointer, element_type*>::value,
                       __nat
                   >::type = __nat());
# 3837 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
    ~shared_ptr();

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    shared_ptr& operator=(const shared_ptr& __r) noexcept;
    template<class _Yp>
        typename enable_if
        <
            is_convertible<_Yp*, element_type*>::value,
            shared_ptr&
        >::type
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        operator=(const shared_ptr<_Yp>& __r) noexcept;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    shared_ptr& operator=(shared_ptr&& __r) noexcept;
    template<class _Yp>
        typename enable_if
        <
            is_convertible<_Yp*, element_type*>::value,
            shared_ptr<_Tp>&
        >::type
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        operator=(shared_ptr<_Yp>&& __r);
# 3884 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
    template <class _Yp, class _Dp>
        typename enable_if
        <
            !is_array<_Yp>::value &&
            is_convertible<typename unique_ptr<_Yp, _Dp>::pointer, element_type*>::value,
            shared_ptr&
        >::type

        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        operator=(unique_ptr<_Yp, _Dp>&& __r);





    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void swap(shared_ptr& __r) noexcept;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void reset() noexcept;
    template<class _Yp>
        typename enable_if
        <
            is_convertible<_Yp*, element_type*>::value,
            void
        >::type
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        reset(_Yp* __p);
    template<class _Yp, class _Dp>
        typename enable_if
        <
            is_convertible<_Yp*, element_type*>::value,
            void
        >::type
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        reset(_Yp* __p, _Dp __d);
    template<class _Yp, class _Dp, class _Alloc>
        typename enable_if
        <
            is_convertible<_Yp*, element_type*>::value,
            void
        >::type
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        reset(_Yp* __p, _Dp __d, _Alloc __a);

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    element_type* get() const noexcept {return __ptr_;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    typename add_lvalue_reference<element_type>::type operator*() const noexcept
        {return *__ptr_;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    element_type* operator->() const noexcept {return __ptr_;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    long use_count() const noexcept {return __cntrl_ ? __cntrl_->use_count() : 0;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool unique() const noexcept {return use_count() == 1;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit operator bool() const noexcept {return get() != 0;}
    template <class _Up>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        bool owner_before(shared_ptr<_Up> const& __p) const noexcept
        {return __cntrl_ < __p.__cntrl_;}
    template <class _Up>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        bool owner_before(weak_ptr<_Up> const& __p) const noexcept
        {return __cntrl_ < __p.__cntrl_;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool
    __owner_equivalent(const shared_ptr& __p) const
        {return __cntrl_ == __p.__cntrl_;}


    template <class _Dp>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        _Dp* __get_deleter() const noexcept
            {return static_cast<_Dp*>(__cntrl_
                    ? const_cast<void *>(__cntrl_->__get_deleter(typeid(_Dp)))
                      : nullptr);}




    template<class ..._Args>
        static
        shared_ptr<_Tp>
        make_shared(_Args&& ...__args);

    template<class _Alloc, class ..._Args>
        static
        shared_ptr<_Tp>
        allocate_shared(const _Alloc& __a, _Args&& ...__args);
# 4006 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
private:
    template <class _Yp, bool = is_function<_Yp>::value>
        struct __shared_ptr_default_allocator
        {
            typedef allocator<_Yp> type;
        };

    template <class _Yp>
        struct __shared_ptr_default_allocator<_Yp, true>
        {
            typedef allocator<__shared_ptr_dummy_rebind_allocator_type> type;
        };

    template <class _Yp, class _OrigPtr>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        typename enable_if<is_convertible<_OrigPtr*,
                                          const enable_shared_from_this<_Yp>*
        >::value,
            void>::type
        __enable_weak_this(const enable_shared_from_this<_Yp>* __e,
                           _OrigPtr* __ptr) noexcept
        {
            typedef typename remove_cv<_Yp>::type _RawYp;
            if (__e && __e->__weak_this_.expired())
            {
                __e->__weak_this_ = shared_ptr<_RawYp>(*this,
                    const_cast<_RawYp*>(static_cast<const _Yp*>(__ptr)));
            }
        }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void __enable_weak_this(...) noexcept {}

    template <class _Up> friend class __attribute__ ((__type_visibility__("default"))) shared_ptr;
    template <class _Up> friend class __attribute__ ((__type_visibility__("default"))) weak_ptr;
};


template<class _Tp>
inline
constexpr
shared_ptr<_Tp>::shared_ptr() noexcept
    : __ptr_(0),
      __cntrl_(0)
{
}

template<class _Tp>
inline
constexpr
shared_ptr<_Tp>::shared_ptr(nullptr_t) noexcept
    : __ptr_(0),
      __cntrl_(0)
{
}

template<class _Tp>
template<class _Yp>
shared_ptr<_Tp>::shared_ptr(_Yp* __p,
                            typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type)
    : __ptr_(__p)
{
    unique_ptr<_Yp> __hold(__p);
    typedef typename __shared_ptr_default_allocator<_Yp>::type _AllocT;
    typedef __shared_ptr_pointer<_Yp*, default_delete<_Yp>, _AllocT > _CntrlBlk;
    __cntrl_ = new _CntrlBlk(__p, default_delete<_Yp>(), _AllocT());
    __hold.release();
    __enable_weak_this(__p, __p);
}

template<class _Tp>
template<class _Yp, class _Dp>
shared_ptr<_Tp>::shared_ptr(_Yp* __p, _Dp __d,
                            typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type)
    : __ptr_(__p)
{

    try
    {

        typedef typename __shared_ptr_default_allocator<_Yp>::type _AllocT;
        typedef __shared_ptr_pointer<_Yp*, _Dp, _AllocT > _CntrlBlk;
        __cntrl_ = new _CntrlBlk(__p, __d, _AllocT());
        __enable_weak_this(__p, __p);

    }
    catch (...)
    {
        __d(__p);
        throw;
    }

}

template<class _Tp>
template<class _Dp>
shared_ptr<_Tp>::shared_ptr(nullptr_t __p, _Dp __d)
    : __ptr_(0)
{

    try
    {

        typedef typename __shared_ptr_default_allocator<_Tp>::type _AllocT;
        typedef __shared_ptr_pointer<nullptr_t, _Dp, _AllocT > _CntrlBlk;
        __cntrl_ = new _CntrlBlk(__p, __d, _AllocT());

    }
    catch (...)
    {
        __d(__p);
        throw;
    }

}

template<class _Tp>
template<class _Yp, class _Dp, class _Alloc>
shared_ptr<_Tp>::shared_ptr(_Yp* __p, _Dp __d, _Alloc __a,
                            typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type)
    : __ptr_(__p)
{

    try
    {

        typedef __shared_ptr_pointer<_Yp*, _Dp, _Alloc> _CntrlBlk;
        typedef typename __allocator_traits_rebind<_Alloc, _CntrlBlk>::type _A2;
        typedef __allocator_destructor<_A2> _D2;
        _A2 __a2(__a);
        unique_ptr<_CntrlBlk, _D2> __hold2(__a2.allocate(1), _D2(__a2, 1));
        ::new(static_cast<void*>(std::__1::addressof(*__hold2.get())))
            _CntrlBlk(__p, __d, __a);
        __cntrl_ = std::__1::addressof(*__hold2.release());
        __enable_weak_this(__p, __p);

    }
    catch (...)
    {
        __d(__p);
        throw;
    }

}

template<class _Tp>
template<class _Dp, class _Alloc>
shared_ptr<_Tp>::shared_ptr(nullptr_t __p, _Dp __d, _Alloc __a)
    : __ptr_(0)
{

    try
    {

        typedef __shared_ptr_pointer<nullptr_t, _Dp, _Alloc> _CntrlBlk;
        typedef typename __allocator_traits_rebind<_Alloc, _CntrlBlk>::type _A2;
        typedef __allocator_destructor<_A2> _D2;
        _A2 __a2(__a);
        unique_ptr<_CntrlBlk, _D2> __hold2(__a2.allocate(1), _D2(__a2, 1));
        ::new(static_cast<void*>(std::__1::addressof(*__hold2.get())))
            _CntrlBlk(__p, __d, __a);
        __cntrl_ = std::__1::addressof(*__hold2.release());

    }
    catch (...)
    {
        __d(__p);
        throw;
    }

}

template<class _Tp>
template<class _Yp>
inline
shared_ptr<_Tp>::shared_ptr(const shared_ptr<_Yp>& __r, element_type *__p) noexcept
    : __ptr_(__p),
      __cntrl_(__r.__cntrl_)
{
    if (__cntrl_)
        __cntrl_->__add_shared();
}

template<class _Tp>
inline
shared_ptr<_Tp>::shared_ptr(const shared_ptr& __r) noexcept
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_)
{
    if (__cntrl_)
        __cntrl_->__add_shared();
}

template<class _Tp>
template<class _Yp>
inline
shared_ptr<_Tp>::shared_ptr(const shared_ptr<_Yp>& __r,
                            typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type)
         noexcept
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_)
{
    if (__cntrl_)
        __cntrl_->__add_shared();
}



template<class _Tp>
inline
shared_ptr<_Tp>::shared_ptr(shared_ptr&& __r) noexcept
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_)
{
    __r.__ptr_ = 0;
    __r.__cntrl_ = 0;
}

template<class _Tp>
template<class _Yp>
inline
shared_ptr<_Tp>::shared_ptr(shared_ptr<_Yp>&& __r,
                            typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type)
         noexcept
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_)
{
    __r.__ptr_ = 0;
    __r.__cntrl_ = 0;
}
# 4256 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template<class _Tp>
template <class _Yp, class _Dp>

shared_ptr<_Tp>::shared_ptr(unique_ptr<_Yp, _Dp>&& __r,



                            typename enable_if
                            <
                                !is_lvalue_reference<_Dp>::value &&
                                !is_array<_Yp>::value &&
                                is_convertible<typename unique_ptr<_Yp, _Dp>::pointer, element_type*>::value,
                                __nat
                            >::type)
    : __ptr_(__r.get())
{

    if (__ptr_ == nullptr)
        __cntrl_ = nullptr;
    else

    {
        typedef typename __shared_ptr_default_allocator<_Yp>::type _AllocT;
        typedef __shared_ptr_pointer<_Yp*, _Dp, _AllocT > _CntrlBlk;
        __cntrl_ = new _CntrlBlk(__r.get(), __r.get_deleter(), _AllocT());
        __enable_weak_this(__r.get(), __r.get());
    }
    __r.release();
}

template<class _Tp>
template <class _Yp, class _Dp>

shared_ptr<_Tp>::shared_ptr(unique_ptr<_Yp, _Dp>&& __r,



                            typename enable_if
                            <
                                is_lvalue_reference<_Dp>::value &&
                                !is_array<_Yp>::value &&
                                is_convertible<typename unique_ptr<_Yp, _Dp>::pointer, element_type*>::value,
                                __nat
                            >::type)
    : __ptr_(__r.get())
{

    if (__ptr_ == nullptr)
        __cntrl_ = nullptr;
    else

    {
        typedef typename __shared_ptr_default_allocator<_Yp>::type _AllocT;
        typedef __shared_ptr_pointer<_Yp*,
                                     reference_wrapper<typename remove_reference<_Dp>::type>,
                                     _AllocT > _CntrlBlk;
        __cntrl_ = new _CntrlBlk(__r.get(), ref(__r.get_deleter()), _AllocT());
        __enable_weak_this(__r.get(), __r.get());
    }
    __r.release();
}



template<class _Tp>
template<class ..._Args>
shared_ptr<_Tp>
shared_ptr<_Tp>::make_shared(_Args&& ...__args)
{
    static_assert( is_constructible<_Tp, _Args...>::value, "Can't construct object in make_shared" );
    typedef __shared_ptr_emplace<_Tp, allocator<_Tp> > _CntrlBlk;
    typedef allocator<_CntrlBlk> _A2;
    typedef __allocator_destructor<_A2> _D2;
    _A2 __a2;
    unique_ptr<_CntrlBlk, _D2> __hold2(__a2.allocate(1), _D2(__a2, 1));
    ::new(__hold2.get()) _CntrlBlk(__a2, std::__1::forward<_Args>(__args)...);
    shared_ptr<_Tp> __r;
    __r.__ptr_ = __hold2.get()->get();
    __r.__cntrl_ = __hold2.release();
    __r.__enable_weak_this(__r.__ptr_, __r.__ptr_);
    return __r;
}

template<class _Tp>
template<class _Alloc, class ..._Args>
shared_ptr<_Tp>
shared_ptr<_Tp>::allocate_shared(const _Alloc& __a, _Args&& ...__args)
{
    static_assert( is_constructible<_Tp, _Args...>::value, "Can't construct object in allocate_shared" );
    typedef __shared_ptr_emplace<_Tp, _Alloc> _CntrlBlk;
    typedef typename __allocator_traits_rebind<_Alloc, _CntrlBlk>::type _A2;
    typedef __allocator_destructor<_A2> _D2;
    _A2 __a2(__a);
    unique_ptr<_CntrlBlk, _D2> __hold2(__a2.allocate(1), _D2(__a2, 1));
    ::new(static_cast<void*>(std::__1::addressof(*__hold2.get())))
        _CntrlBlk(__a, std::__1::forward<_Args>(__args)...);
    shared_ptr<_Tp> __r;
    __r.__ptr_ = __hold2.get()->get();
    __r.__cntrl_ = std::__1::addressof(*__hold2.release());
    __r.__enable_weak_this(__r.__ptr_, __r.__ptr_);
    return __r;
}
# 4518 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template<class _Tp>
shared_ptr<_Tp>::~shared_ptr()
{
    if (__cntrl_)
        __cntrl_->__release_shared();
}

template<class _Tp>
inline
shared_ptr<_Tp>&
shared_ptr<_Tp>::operator=(const shared_ptr& __r) noexcept
{
    shared_ptr(__r).swap(*this);
    return *this;
}

template<class _Tp>
template<class _Yp>
inline
typename enable_if
<
    is_convertible<_Yp*, typename shared_ptr<_Tp>::element_type*>::value,
    shared_ptr<_Tp>&
>::type
shared_ptr<_Tp>::operator=(const shared_ptr<_Yp>& __r) noexcept
{
    shared_ptr(__r).swap(*this);
    return *this;
}



template<class _Tp>
inline
shared_ptr<_Tp>&
shared_ptr<_Tp>::operator=(shared_ptr&& __r) noexcept
{
    shared_ptr(std::__1::move(__r)).swap(*this);
    return *this;
}

template<class _Tp>
template<class _Yp>
inline
typename enable_if
<
    is_convertible<_Yp*, typename shared_ptr<_Tp>::element_type*>::value,
    shared_ptr<_Tp>&
>::type
shared_ptr<_Tp>::operator=(shared_ptr<_Yp>&& __r)
{
    shared_ptr(std::__1::move(__r)).swap(*this);
    return *this;
}
# 4590 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template<class _Tp>
template <class _Yp, class _Dp>
inline
typename enable_if
<
    !is_array<_Yp>::value &&
    is_convertible<typename unique_ptr<_Yp, _Dp>::pointer,
                   typename shared_ptr<_Tp>::element_type*>::value,
    shared_ptr<_Tp>&
>::type
shared_ptr<_Tp>::operator=(unique_ptr<_Yp, _Dp>&& __r)
{
    shared_ptr(std::__1::move(__r)).swap(*this);
    return *this;
}
# 4643 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template<class _Tp>
inline
void
shared_ptr<_Tp>::swap(shared_ptr& __r) noexcept
{
    std::__1::swap(__ptr_, __r.__ptr_);
    std::__1::swap(__cntrl_, __r.__cntrl_);
}

template<class _Tp>
inline
void
shared_ptr<_Tp>::reset() noexcept
{
    shared_ptr().swap(*this);
}

template<class _Tp>
template<class _Yp>
inline
typename enable_if
<
    is_convertible<_Yp*, typename shared_ptr<_Tp>::element_type*>::value,
    void
>::type
shared_ptr<_Tp>::reset(_Yp* __p)
{
    shared_ptr(__p).swap(*this);
}

template<class _Tp>
template<class _Yp, class _Dp>
inline
typename enable_if
<
    is_convertible<_Yp*, typename shared_ptr<_Tp>::element_type*>::value,
    void
>::type
shared_ptr<_Tp>::reset(_Yp* __p, _Dp __d)
{
    shared_ptr(__p, __d).swap(*this);
}

template<class _Tp>
template<class _Yp, class _Dp, class _Alloc>
inline
typename enable_if
<
    is_convertible<_Yp*, typename shared_ptr<_Tp>::element_type*>::value,
    void
>::type
shared_ptr<_Tp>::reset(_Yp* __p, _Dp __d, _Alloc __a)
{
    shared_ptr(__p, __d, __a).swap(*this);
}



template<class _Tp, class ..._Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    !is_array<_Tp>::value,
    shared_ptr<_Tp>
>::type
make_shared(_Args&& ...__args)
{
    return shared_ptr<_Tp>::make_shared(std::__1::forward<_Args>(__args)...);
}

template<class _Tp, class _Alloc, class ..._Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    !is_array<_Tp>::value,
    shared_ptr<_Tp>
>::type
allocate_shared(const _Alloc& __a, _Args&& ...__args)
{
    return shared_ptr<_Tp>::allocate_shared(__a, std::__1::forward<_Args>(__args)...);
}
# 4793 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
template<class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator==(const shared_ptr<_Tp>& __x, const shared_ptr<_Up>& __y) noexcept
{
    return __x.get() == __y.get();
}

template<class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(const shared_ptr<_Tp>& __x, const shared_ptr<_Up>& __y) noexcept
{
    return !(__x == __y);
}

template<class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<(const shared_ptr<_Tp>& __x, const shared_ptr<_Up>& __y) noexcept
{




    return less<>()(__x.get(), __y.get());


}

template<class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>(const shared_ptr<_Tp>& __x, const shared_ptr<_Up>& __y) noexcept
{
    return __y < __x;
}

template<class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<=(const shared_ptr<_Tp>& __x, const shared_ptr<_Up>& __y) noexcept
{
    return !(__y < __x);
}

template<class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>=(const shared_ptr<_Tp>& __x, const shared_ptr<_Up>& __y) noexcept
{
    return !(__x < __y);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator==(const shared_ptr<_Tp>& __x, nullptr_t) noexcept
{
    return !__x;
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator==(nullptr_t, const shared_ptr<_Tp>& __x) noexcept
{
    return !__x;
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(const shared_ptr<_Tp>& __x, nullptr_t) noexcept
{
    return static_cast<bool>(__x);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(nullptr_t, const shared_ptr<_Tp>& __x) noexcept
{
    return static_cast<bool>(__x);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<(const shared_ptr<_Tp>& __x, nullptr_t) noexcept
{
    return less<_Tp*>()(__x.get(), nullptr);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<(nullptr_t, const shared_ptr<_Tp>& __x) noexcept
{
    return less<_Tp*>()(nullptr, __x.get());
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>(const shared_ptr<_Tp>& __x, nullptr_t) noexcept
{
    return nullptr < __x;
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>(nullptr_t, const shared_ptr<_Tp>& __x) noexcept
{
    return __x < nullptr;
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<=(const shared_ptr<_Tp>& __x, nullptr_t) noexcept
{
    return !(nullptr < __x);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator<=(nullptr_t, const shared_ptr<_Tp>& __x) noexcept
{
    return !(__x < nullptr);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>=(const shared_ptr<_Tp>& __x, nullptr_t) noexcept
{
    return !(__x < nullptr);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator>=(nullptr_t, const shared_ptr<_Tp>& __x) noexcept
{
    return !(nullptr < __x);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
swap(shared_ptr<_Tp>& __x, shared_ptr<_Tp>& __y) noexcept
{
    __x.swap(__y);
}

template<class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    !is_array<_Tp>::value && !is_array<_Up>::value,
    shared_ptr<_Tp>
>::type
static_pointer_cast(const shared_ptr<_Up>& __r) noexcept
{
    return shared_ptr<_Tp>(__r, static_cast<_Tp*>(__r.get()));
}

template<class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    !is_array<_Tp>::value && !is_array<_Up>::value,
    shared_ptr<_Tp>
>::type
dynamic_pointer_cast(const shared_ptr<_Up>& __r) noexcept
{
    _Tp* __p = dynamic_cast<_Tp*>(__r.get());
    return __p ? shared_ptr<_Tp>(__r, __p) : shared_ptr<_Tp>();
}

template<class _Tp, class _Up>
typename enable_if
<
    is_array<_Tp>::value == is_array<_Up>::value,
    shared_ptr<_Tp>
>::type
const_pointer_cast(const shared_ptr<_Up>& __r) noexcept
{
    typedef typename remove_extent<_Tp>::type _RTp;
    return shared_ptr<_Tp>(__r, const_cast<_RTp*>(__r.get()));
}



template<class _Dp, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Dp*
get_deleter(const shared_ptr<_Tp>& __p) noexcept
{
    return __p.template __get_deleter<_Dp>();
}



template<class _Tp>
class __attribute__ ((__type_visibility__("default"))) weak_ptr
{
public:
    typedef _Tp element_type;
private:
    element_type* __ptr_;
    __shared_weak_count* __cntrl_;

public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    constexpr weak_ptr() noexcept;
    template<class _Yp> __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) weak_ptr(shared_ptr<_Yp> const& __r,
                   typename enable_if<is_convertible<_Yp*, _Tp*>::value, __nat*>::type = 0)
                        noexcept;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    weak_ptr(weak_ptr const& __r) noexcept;
    template<class _Yp> __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) weak_ptr(weak_ptr<_Yp> const& __r,
                   typename enable_if<is_convertible<_Yp*, _Tp*>::value, __nat*>::type = 0)
                         noexcept;


    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    weak_ptr(weak_ptr&& __r) noexcept;
    template<class _Yp> __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) weak_ptr(weak_ptr<_Yp>&& __r,
                   typename enable_if<is_convertible<_Yp*, _Tp*>::value, __nat*>::type = 0)
                         noexcept;

    ~weak_ptr();

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    weak_ptr& operator=(weak_ptr const& __r) noexcept;
    template<class _Yp>
        typename enable_if
        <
            is_convertible<_Yp*, element_type*>::value,
            weak_ptr&
        >::type
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        operator=(weak_ptr<_Yp> const& __r) noexcept;



    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    weak_ptr& operator=(weak_ptr&& __r) noexcept;
    template<class _Yp>
        typename enable_if
        <
            is_convertible<_Yp*, element_type*>::value,
            weak_ptr&
        >::type
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        operator=(weak_ptr<_Yp>&& __r) noexcept;



    template<class _Yp>
        typename enable_if
        <
            is_convertible<_Yp*, element_type*>::value,
            weak_ptr&
        >::type
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        operator=(shared_ptr<_Yp> const& __r) noexcept;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void swap(weak_ptr& __r) noexcept;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void reset() noexcept;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    long use_count() const noexcept
        {return __cntrl_ ? __cntrl_->use_count() : 0;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool expired() const noexcept
        {return __cntrl_ == 0 || __cntrl_->use_count() == 0;}
    shared_ptr<_Tp> lock() const noexcept;
    template<class _Up>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        bool owner_before(const shared_ptr<_Up>& __r) const noexcept
        {return __cntrl_ < __r.__cntrl_;}
    template<class _Up>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        bool owner_before(const weak_ptr<_Up>& __r) const noexcept
        {return __cntrl_ < __r.__cntrl_;}

    template <class _Up> friend class __attribute__ ((__type_visibility__("default"))) weak_ptr;
    template <class _Up> friend class __attribute__ ((__type_visibility__("default"))) shared_ptr;
};

template<class _Tp>
inline
constexpr
weak_ptr<_Tp>::weak_ptr() noexcept
    : __ptr_(0),
      __cntrl_(0)
{
}

template<class _Tp>
inline
weak_ptr<_Tp>::weak_ptr(weak_ptr const& __r) noexcept
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_)
{
    if (__cntrl_)
        __cntrl_->__add_weak();
}

template<class _Tp>
template<class _Yp>
inline
weak_ptr<_Tp>::weak_ptr(shared_ptr<_Yp> const& __r,
                        typename enable_if<is_convertible<_Yp*, _Tp*>::value, __nat*>::type)
                         noexcept
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_)
{
    if (__cntrl_)
        __cntrl_->__add_weak();
}

template<class _Tp>
template<class _Yp>
inline
weak_ptr<_Tp>::weak_ptr(weak_ptr<_Yp> const& __r,
                        typename enable_if<is_convertible<_Yp*, _Tp*>::value, __nat*>::type)
         noexcept
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_)
{
    if (__cntrl_)
        __cntrl_->__add_weak();
}



template<class _Tp>
inline
weak_ptr<_Tp>::weak_ptr(weak_ptr&& __r) noexcept
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_)
{
    __r.__ptr_ = 0;
    __r.__cntrl_ = 0;
}

template<class _Tp>
template<class _Yp>
inline
weak_ptr<_Tp>::weak_ptr(weak_ptr<_Yp>&& __r,
                        typename enable_if<is_convertible<_Yp*, _Tp*>::value, __nat*>::type)
         noexcept
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_)
{
    __r.__ptr_ = 0;
    __r.__cntrl_ = 0;
}



template<class _Tp>
weak_ptr<_Tp>::~weak_ptr()
{
    if (__cntrl_)
        __cntrl_->__release_weak();
}

template<class _Tp>
inline
weak_ptr<_Tp>&
weak_ptr<_Tp>::operator=(weak_ptr const& __r) noexcept
{
    weak_ptr(__r).swap(*this);
    return *this;
}

template<class _Tp>
template<class _Yp>
inline
typename enable_if
<
    is_convertible<_Yp*, _Tp*>::value,
    weak_ptr<_Tp>&
>::type
weak_ptr<_Tp>::operator=(weak_ptr<_Yp> const& __r) noexcept
{
    weak_ptr(__r).swap(*this);
    return *this;
}



template<class _Tp>
inline
weak_ptr<_Tp>&
weak_ptr<_Tp>::operator=(weak_ptr&& __r) noexcept
{
    weak_ptr(std::__1::move(__r)).swap(*this);
    return *this;
}

template<class _Tp>
template<class _Yp>
inline
typename enable_if
<
    is_convertible<_Yp*, _Tp*>::value,
    weak_ptr<_Tp>&
>::type
weak_ptr<_Tp>::operator=(weak_ptr<_Yp>&& __r) noexcept
{
    weak_ptr(std::__1::move(__r)).swap(*this);
    return *this;
}



template<class _Tp>
template<class _Yp>
inline
typename enable_if
<
    is_convertible<_Yp*, _Tp*>::value,
    weak_ptr<_Tp>&
>::type
weak_ptr<_Tp>::operator=(shared_ptr<_Yp> const& __r) noexcept
{
    weak_ptr(__r).swap(*this);
    return *this;
}

template<class _Tp>
inline
void
weak_ptr<_Tp>::swap(weak_ptr& __r) noexcept
{
    std::__1::swap(__ptr_, __r.__ptr_);
    std::__1::swap(__cntrl_, __r.__cntrl_);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
swap(weak_ptr<_Tp>& __x, weak_ptr<_Tp>& __y) noexcept
{
    __x.swap(__y);
}

template<class _Tp>
inline
void
weak_ptr<_Tp>::reset() noexcept
{
    weak_ptr().swap(*this);
}

template<class _Tp>
template<class _Yp>
shared_ptr<_Tp>::shared_ptr(const weak_ptr<_Yp>& __r,
                            typename enable_if<is_convertible<_Yp*, element_type*>::value, __nat>::type)
    : __ptr_(__r.__ptr_),
      __cntrl_(__r.__cntrl_ ? __r.__cntrl_->lock() : __r.__cntrl_)
{
    if (__cntrl_ == 0)
        __throw_bad_weak_ptr();
}

template<class _Tp>
shared_ptr<_Tp>
weak_ptr<_Tp>::lock() const noexcept
{
    shared_ptr<_Tp> __r;
    __r.__cntrl_ = __cntrl_ ? __cntrl_->lock() : __cntrl_;
    if (__r.__cntrl_)
        __r.__ptr_ = __ptr_;
    return __r;
}


template <class _Tp = void> struct owner_less;




template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) owner_less<shared_ptr<_Tp> >
    : binary_function<shared_ptr<_Tp>, shared_ptr<_Tp>, bool>
{
    typedef bool result_type;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(shared_ptr<_Tp> const& __x, shared_ptr<_Tp> const& __y) const noexcept
        {return __x.owner_before(__y);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(shared_ptr<_Tp> const& __x, weak_ptr<_Tp> const& __y) const noexcept
        {return __x.owner_before(__y);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()( weak_ptr<_Tp> const& __x, shared_ptr<_Tp> const& __y) const noexcept
        {return __x.owner_before(__y);}
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) owner_less<weak_ptr<_Tp> >
    : binary_function<weak_ptr<_Tp>, weak_ptr<_Tp>, bool>
{
    typedef bool result_type;
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()( weak_ptr<_Tp> const& __x, weak_ptr<_Tp> const& __y) const noexcept
        {return __x.owner_before(__y);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(shared_ptr<_Tp> const& __x, weak_ptr<_Tp> const& __y) const noexcept
        {return __x.owner_before(__y);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()( weak_ptr<_Tp> const& __x, shared_ptr<_Tp> const& __y) const noexcept
        {return __x.owner_before(__y);}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) owner_less<void>
{
    template <class _Tp, class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()( shared_ptr<_Tp> const& __x, shared_ptr<_Up> const& __y) const noexcept
        {return __x.owner_before(__y);}
    template <class _Tp, class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()( shared_ptr<_Tp> const& __x, weak_ptr<_Up> const& __y) const noexcept
        {return __x.owner_before(__y);}
    template <class _Tp, class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()( weak_ptr<_Tp> const& __x, shared_ptr<_Up> const& __y) const noexcept
        {return __x.owner_before(__y);}
    template <class _Tp, class _Up>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()( weak_ptr<_Tp> const& __x, weak_ptr<_Up> const& __y) const noexcept
        {return __x.owner_before(__y);}
    typedef void is_transparent;
};


template<class _Tp>
class __attribute__ ((__type_visibility__("default"))) enable_shared_from_this
{
    mutable weak_ptr<_Tp> __weak_this_;
protected:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    enable_shared_from_this() noexcept {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    enable_shared_from_this(enable_shared_from_this const&) noexcept {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    enable_shared_from_this& operator=(enable_shared_from_this const&) noexcept
        {return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    ~enable_shared_from_this() {}
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    shared_ptr<_Tp> shared_from_this()
        {return shared_ptr<_Tp>(__weak_this_);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    shared_ptr<_Tp const> shared_from_this() const
        {return shared_ptr<const _Tp>(__weak_this_);}


    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    weak_ptr<_Tp> weak_from_this() noexcept
       { return __weak_this_; }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    weak_ptr<const _Tp> weak_from_this() const noexcept
        { return __weak_this_; }


    template <class _Up> friend class shared_ptr;
};

template <class _Tp>
struct __attribute__ ((__type_visibility__("default"))) hash<shared_ptr<_Tp> >
{
    typedef shared_ptr<_Tp> argument_type;
    typedef size_t result_type;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    result_type operator()(const argument_type& __ptr) const noexcept
    {
        return hash<_Tp*>()(__ptr.get());
    }
};

template<class _CharT, class _Traits, class _Yp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
basic_ostream<_CharT, _Traits>&
operator<<(basic_ostream<_CharT, _Traits>& __os, shared_ptr<_Yp> const& __p);




class __attribute__ ((__visibility__("default"))) __sp_mut
{
    void* __lx;
public:
    void lock() noexcept;
    void unlock() noexcept;

private:
    constexpr __sp_mut(void*) noexcept;
    __sp_mut(const __sp_mut&);
    __sp_mut& operator=(const __sp_mut&);

    friend __attribute__ ((__visibility__("default"))) __sp_mut& __get_sp_mut(const void*);
};

__attribute__ ((__visibility__("default"))) __attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
__sp_mut& __get_sp_mut(const void*);

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
atomic_is_lock_free(const shared_ptr<_Tp>*)
{
    return false;
}

template <class _Tp>
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
shared_ptr<_Tp>
atomic_load(const shared_ptr<_Tp>* __p)
{
    __sp_mut& __m = __get_sp_mut(__p);
    __m.lock();
    shared_ptr<_Tp> __q = *__p;
    __m.unlock();
    return __q;
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
shared_ptr<_Tp>
atomic_load_explicit(const shared_ptr<_Tp>* __p, memory_order)
{
    return atomic_load(__p);
}

template <class _Tp>
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
void
atomic_store(shared_ptr<_Tp>* __p, shared_ptr<_Tp> __r)
{
    __sp_mut& __m = __get_sp_mut(__p);
    __m.lock();
    __p->swap(__r);
    __m.unlock();
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
void
atomic_store_explicit(shared_ptr<_Tp>* __p, shared_ptr<_Tp> __r, memory_order)
{
    atomic_store(__p, __r);
}

template <class _Tp>
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
shared_ptr<_Tp>
atomic_exchange(shared_ptr<_Tp>* __p, shared_ptr<_Tp> __r)
{
    __sp_mut& __m = __get_sp_mut(__p);
    __m.lock();
    __p->swap(__r);
    __m.unlock();
    return __r;
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
shared_ptr<_Tp>
atomic_exchange_explicit(shared_ptr<_Tp>* __p, shared_ptr<_Tp> __r, memory_order)
{
    return atomic_exchange(__p, __r);
}

template <class _Tp>
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
bool
atomic_compare_exchange_strong(shared_ptr<_Tp>* __p, shared_ptr<_Tp>* __v, shared_ptr<_Tp> __w)
{
    shared_ptr<_Tp> __temp;
    __sp_mut& __m = __get_sp_mut(__p);
    __m.lock();
    if (__p->__owner_equivalent(*__v))
    {
        std::__1::swap(__temp, *__p);
        *__p = __w;
        __m.unlock();
        return true;
    }
    std::__1::swap(__temp, *__v);
    *__v = *__p;
    __m.unlock();
    return false;
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
bool
atomic_compare_exchange_weak(shared_ptr<_Tp>* __p, shared_ptr<_Tp>* __v, shared_ptr<_Tp> __w)
{
    return atomic_compare_exchange_strong(__p, __v, __w);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
bool
atomic_compare_exchange_strong_explicit(shared_ptr<_Tp>* __p, shared_ptr<_Tp>* __v,
                                        shared_ptr<_Tp> __w, memory_order, memory_order)
{
    return atomic_compare_exchange_strong(__p, __v, __w);
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__attribute__((availability(macosx,strict,introduced=10.9))) __attribute__((availability(ios,strict,introduced=7.0)))
bool
atomic_compare_exchange_weak_explicit(shared_ptr<_Tp>* __p, shared_ptr<_Tp>* __v,
                                      shared_ptr<_Tp> __w, memory_order, memory_order)
{
    return atomic_compare_exchange_weak(__p, __v, __w);
}
# 5548 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
struct __attribute__ ((__visibility__("default"))) pointer_safety
{
    enum __lx
    {
        relaxed,
        preferred,
        strict
    };

    __lx __v_;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    pointer_safety() : __v_() {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    pointer_safety(__lx __v) : __v_(__v) {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    operator int() const {return __v_;}
};
# 5575 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/memory" 3
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
pointer_safety get_pointer_safety() noexcept {
  return pointer_safety::relaxed;
}




__attribute__ ((__visibility__("default"))) void declare_reachable(void* __p);
__attribute__ ((__visibility__("default"))) void declare_no_pointers(char* __p, size_t __n);
__attribute__ ((__visibility__("default"))) void undeclare_no_pointers(char* __p, size_t __n);
__attribute__ ((__visibility__("default"))) void* __undeclare_reachable(void* __p);

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp*
undeclare_reachable(_Tp* __p)
{
    return static_cast<_Tp*>(__undeclare_reachable(__p));
}

__attribute__ ((__visibility__("default"))) void* align(size_t __align, size_t __sz, void*& __ptr, size_t& __space);


template <typename _Alloc>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __swap_allocator(_Alloc & __a1, _Alloc & __a2)

    noexcept



{
    __swap_allocator(__a1, __a2,
      integral_constant<bool, std::__1::allocator_traits<_Alloc>::propagate_on_container_swap::value>());
}

template <typename _Alloc>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __swap_allocator(_Alloc & __a1, _Alloc & __a2, true_type)

    noexcept



{
    using std::__1::swap;
    swap(__a1, __a2);
}

template <typename _Alloc>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __swap_allocator(_Alloc &, _Alloc &, false_type) noexcept {}

template <typename _Alloc, typename _Traits=allocator_traits<_Alloc> >
struct __noexcept_move_assign_container : public integral_constant<bool,
    _Traits::propagate_on_container_move_assignment::value

        || _Traits::is_always_equal::value



    > {};



template <class _Tp, class _Alloc>
struct __temp_value {
    typedef allocator_traits<_Alloc> _Traits;

    typename aligned_storage<sizeof(_Tp), alignof(_Tp)>::type __v;
    _Alloc &__a;

    _Tp *__addr() { return reinterpret_cast<_Tp *>(addressof(__v)); }
    _Tp & get() { return *__addr(); }

    template<class... _Args>
    __attribute__((__no_sanitize__("cfi")))
    __temp_value(_Alloc &__alloc, _Args&& ... __args) : __a(__alloc) {
      _Traits::construct(__a, reinterpret_cast<_Tp*>(addressof(__v)),
                         std::__1::forward<_Args>(__args)...);
    }

    ~__temp_value() { _Traits::destroy(__a, __addr()); }
    };


template<typename _Alloc, typename = void, typename = void>
struct __is_allocator : false_type {};

template<typename _Alloc>
struct __is_allocator<_Alloc,
       typename __void_t<typename _Alloc::value_type>::type,
       typename __void_t<decltype(std::__1::declval<_Alloc&>().allocate(size_t(0)))>::type
     >
   : true_type {};

} }
# 645 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 1 3
# 490 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 491 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 2 3
# 503 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3


namespace std { inline namespace __1 {


template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) plus : binary_function<_Tp, _Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x + __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) plus<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) + std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) + std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) + std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) minus : binary_function<_Tp, _Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x - __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) minus<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) - std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) - std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) - std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) multiplies : binary_function<_Tp, _Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x * __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) multiplies<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) * std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) * std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) * std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) divides : binary_function<_Tp, _Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x / __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) divides<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) / std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) / std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) / std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) modulus : binary_function<_Tp, _Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x % __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) modulus<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) % std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) % std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) % std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) negate : unary_function<_Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x) const
        {return -__x;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) negate<void>
{
    template <class _Tp>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_Tp&& __x) const
    noexcept(noexcept(- std::__1::forward<_Tp>(__x)))
    -> decltype (- std::__1::forward<_Tp>(__x))
        { return - std::__1::forward<_Tp>(__x); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) equal_to : binary_function<_Tp, _Tp, bool>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x == __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) equal_to<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) == std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) == std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) == std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) not_equal_to : binary_function<_Tp, _Tp, bool>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x != __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) not_equal_to<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) != std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) != std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) != std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) greater : binary_function<_Tp, _Tp, bool>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x > __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) greater<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) > std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) > std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) > std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};






template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) greater_equal : binary_function<_Tp, _Tp, bool>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x >= __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) greater_equal<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) >= std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) >= std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) >= std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) less_equal : binary_function<_Tp, _Tp, bool>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x <= __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) less_equal<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) <= std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) <= std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) <= std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) logical_and : binary_function<_Tp, _Tp, bool>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x && __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) logical_and<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) && std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) && std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) && std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) logical_or : binary_function<_Tp, _Tp, bool>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _Tp& __x, const _Tp& __y) const
        {return __x || __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) logical_or<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) || std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) || std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) || std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) logical_not : unary_function<_Tp, bool>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _Tp& __x) const
        {return !__x;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) logical_not<void>
{
    template <class _Tp>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_Tp&& __x) const
    noexcept(noexcept(!std::__1::forward<_Tp>(__x)))
    -> decltype (!std::__1::forward<_Tp>(__x))
        { return !std::__1::forward<_Tp>(__x); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) bit_and : binary_function<_Tp, _Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x & __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) bit_and<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) & std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) & std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) & std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) bit_or : binary_function<_Tp, _Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x | __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) bit_or<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) | std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) | std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) | std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>



struct __attribute__ ((__type_visibility__("default"))) bit_xor : binary_function<_Tp, _Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x, const _Tp& __y) const
        {return __x ^ __y;}
};


template <>
struct __attribute__ ((__type_visibility__("default"))) bit_xor<void>
{
    template <class _T1, class _T2>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_T1&& __t, _T2&& __u) const
    noexcept(noexcept(std::__1::forward<_T1>(__t) ^ std::__1::forward<_T2>(__u)))
    -> decltype (std::__1::forward<_T1>(__t) ^ std::__1::forward<_T2>(__u))
        { return std::__1::forward<_T1>(__t) ^ std::__1::forward<_T2>(__u); }
    typedef void is_transparent;
};




template <class _Tp = void>
struct __attribute__ ((__type_visibility__("default"))) bit_not : unary_function<_Tp, _Tp>
{
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Tp operator()(const _Tp& __x) const
        {return ~__x;}
};

template <>
struct __attribute__ ((__type_visibility__("default"))) bit_not<void>
{
    template <class _Tp>
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_Tp&& __x) const
    noexcept(noexcept(~std::__1::forward<_Tp>(__x)))
    -> decltype (~std::__1::forward<_Tp>(__x))
        { return ~std::__1::forward<_Tp>(__x); }
    typedef void is_transparent;
};


template <class _Predicate>
class __attribute__ ((__type_visibility__("default"))) __attribute__ ((deprecated)) unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
{
    _Predicate __pred_;
public:
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit unary_negate(const _Predicate& __pred)
        : __pred_(__pred) {}
    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const typename _Predicate::argument_type& __x) const
        {return !__pred_(__x);}
};

template <class _Predicate>
__attribute__ ((deprecated)) inline constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
unary_negate<_Predicate>
not1(const _Predicate& __pred) {return unary_negate<_Predicate>(__pred);}

template <class _Predicate>
class __attribute__ ((__type_visibility__("default"))) __attribute__ ((deprecated)) binary_negate
    : public binary_function<typename _Predicate::first_argument_type,
                             typename _Predicate::second_argument_type,
                             bool>
{
    _Predicate __pred_;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) explicit constexpr
    binary_negate(const _Predicate& __pred) : __pred_(__pred) {}

    constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const typename _Predicate::first_argument_type& __x,
                    const typename _Predicate::second_argument_type& __y) const
        {return !__pred_(__x, __y);}
};

template <class _Predicate>
__attribute__ ((deprecated)) inline constexpr __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
binary_negate<_Predicate>
not2(const _Predicate& __pred) {return binary_negate<_Predicate>(__pred);}
# 1269 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
template <class _Tp>
class __mem_fn
    : public __weak_result_type<_Tp>
{
public:

    typedef _Tp type;
private:
    type __f_;

public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __mem_fn(type __f) noexcept : __f_(__f) {}



    template <class... _ArgTypes>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    typename __invoke_return<type, _ArgTypes...>::type
    operator() (_ArgTypes&&... __args) const {
        return __invoke(__f_, std::__1::forward<_ArgTypes>(__args)...);
    }
# 1390 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
};

template<class _Rp, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__mem_fn<_Rp _Tp::*>
mem_fn(_Rp _Tp::* __pm) noexcept
{
    return __mem_fn<_Rp _Tp::*>(__pm);
}







class __attribute__ ((__visibility__("default"))) bad_function_call
    : public exception
{






};

[[noreturn]] inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void __throw_bad_function_call()
{

    throw bad_function_call();



}

template<class _Fp> class __attribute__ ((__type_visibility__("default"))) function;

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>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool __not_null(_Fp const&) { return true; }

template <class _Fp>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool __not_null(_Fp* __ptr) { return __ptr; }

template <class _Ret, class _Class>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool __not_null(_Ret _Class::*__ptr) { return __ptr; }

template <class _Fp>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool __not_null(function<_Fp> const& __f) { return !!__f; }

}



namespace __function {



template <class _Fp, class _Ap, class _FB> class __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 _Fp _Target;
    typedef _Ap _Alloc;

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    const _Target& __target() const { return __f_.first(); }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    const _Alloc& __allocator() const { return __f_.second(); }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __alloc_func(_Target&& __f)
        : __f_(piecewise_construct, std::__1::forward_as_tuple(std::__1::move(__f)),
               std::__1::forward_as_tuple())
    {
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __alloc_func(const _Target& __f, const _Alloc& __a)
        : __f_(piecewise_construct, std::__1::forward_as_tuple(__f),
               std::__1::forward_as_tuple(__a))
    {
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __alloc_func(const _Target& __f, _Alloc&& __a)
        : __f_(piecewise_construct, std::__1::forward_as_tuple(__f),
               std::__1::forward_as_tuple(std::__1::move(__a)))
    {
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __alloc_func(_Target&& __f, _Alloc&& __a)
        : __f_(piecewise_construct, std::__1::forward_as_tuple(std::__1::move(__f)),
               std::__1::forward_as_tuple(std::__1::move(__a)))
    {
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Rp operator()(_ArgTypes&&... __arg)
    {
        typedef __invoke_void_return_wrapper<_Rp> _Invoker;
        return _Invoker::__call(__f_.first(),
                                std::__1::forward<_ArgTypes>(__arg)...);
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __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();
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void destroy() noexcept { __f_.~__compressed_pair<_Target, _Alloc>(); }
};



template<class _Fp> class __base;

template<class _Rp, class ..._ArgTypes>
class __base<_Rp(_ArgTypes...)>
{
    __base(const __base&);
    __base& operator=(const __base&);
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __base() {}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) 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;

    virtual const void* target(const type_info&) const noexcept = 0;
    virtual const std::type_info& target_type() const noexcept = 0;

};



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:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __func(_Fp&& __f)
        : __f_(std::__1::move(__f)) {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __func(const _Fp& __f, const _Alloc& __a)
        : __f_(__f, __a) {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __func(const _Fp& __f, _Alloc&& __a)
        : __f_(__f, std::__1::move(__a)) {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __func(_Fp&& __f, _Alloc&& __a)
        : __f_(std::__1::move(__f), std::__1::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);

    virtual const void* target(const type_info&) const noexcept;
    virtual const std::type_info& target_type() const noexcept;

};

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_.__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_.__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_.__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_(std::__1::forward<_ArgTypes>(__arg)...);
}



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);
}





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_;

    __attribute__((__no_sanitize__("cfi"))) static __func* __as_base(void* p)
    {
        return reinterpret_cast<__func*>(p);
    }

  public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __value_func() noexcept : __f_(0) {}

    template <class _Fp, class _Alloc>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __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(std::__1::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(std::__1::move(__f), _Alloc(__a));
                __f_ = __hold.release();
            }
        }
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __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();
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __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;
        }
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    ~__value_func()
    {
        if ((void*)__f_ == &__buf_)
            __f_->destroy();
        else if (__f_)
            __f_->destroy_deallocate();
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __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;
    }

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

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Rp operator()(_ArgTypes&&... __args) const
    {
        if (__f_ == 0)
            __throw_bad_function_call();
        return (*__f_)(std::__1::forward<_ArgTypes>(__args)...);
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    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(&__f.__buf_));
            __f_->destroy();
            __f_ = __f.__f_;
            __f.__f_ = __as_base(&__f.__buf_);
        }
        else if ((void*)__f.__f_ == &__f.__buf_)
        {
            __f.__f_->__clone(__as_base(&__buf_));
            __f.__f_->destroy();
            __f.__f_ = __f_;
            __f_ = __as_base(&__buf_);
        }
        else
            std::__1::swap(__f_, __f.__f_);
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit operator bool() const noexcept { return __f_ != 0; }


    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    const std::type_info& target_type() const noexcept
    {
        if (__f_ == 0)
            return typeid(void);
        return __f_->target_type();
    }

    template <typename _Tp>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) const _Tp* target() const noexcept
    {
        if (__f_ == 0)
            return 0;
        return (const _Tp*)__f_->target(typeid(_Tp));
    }

};



union __policy_storage
{
    mutable char __small[sizeof(void*) * 2];
    void* __large;
};


template <typename _Fun>
struct __use_small_storage
    : public std::__1::integral_constant<
          bool, sizeof(_Fun) <= sizeof(__policy_storage) &&
                    alignof(_Fun) <= alignof(__policy_storage) &&
                    std::__1::is_trivially_copy_constructible<_Fun>::value &&
                    std::__1::is_trivially_destructible<_Fun>::value> {};



struct __policy
{

    void* (*const __clone)(const void*);
    void (*const __destroy)(void*);


    const bool __is_null;


    const std::type_info* const __type_info;



    template <typename _Fun>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static const __policy* __create()
    {
        return __choose_policy<_Fun>(__use_small_storage<_Fun>());
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    static const __policy* __create_empty()
    {
        static const constexpr __policy __policy_ = {nullptr, nullptr,
                                                             true,

                                                             &typeid(void)



        };
        return &__policy_;
    }

  private:
    template <typename _Fun> static void* __large_clone(const void* __s)
    {
        const _Fun* __f = static_cast<const _Fun*>(__s);
        return __f->__clone();
    }

    template <typename _Fun> static void __large_destroy(void* __s)
    {
        typedef allocator_traits<typename _Fun::_Alloc> __alloc_traits;
        typedef typename __rebind_alloc_helper<__alloc_traits, _Fun>::type
            _FunAlloc;
        _Fun* __f = static_cast<_Fun*>(__s);
        _FunAlloc __a(__f->__allocator());
        __f->destroy();
        __a.deallocate(__f, 1);
    }

    template <typename _Fun>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static const __policy*
        __choose_policy( false_type)
    {
        static const constexpr __policy __policy_ = {
            &__large_clone<_Fun>, &__large_destroy<_Fun>, false,

            &typeid(typename _Fun::_Target)



        };
        return &__policy_;
    }

    template <typename _Fun>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static const __policy*
        __choose_policy( true_type)
    {
        static const constexpr __policy __policy_ = {
            nullptr, nullptr, false,

            &typeid(typename _Fun::_Target)



        };
        return &__policy_;
    }
};



template <typename _Tp>
using __fast_forward =
    typename std::__1::conditional<std::__1::is_scalar<_Tp>::value, _Tp, _Tp&&>::type;



template <class _Fp> struct __policy_invoker;

template <class _Rp, class... _ArgTypes>
struct __policy_invoker<_Rp(_ArgTypes...)>
{
    typedef _Rp (*__Call)(const __policy_storage*,
                          __fast_forward<_ArgTypes>...);

    __Call __call_;


    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __policy_invoker() : __call_(&__call_empty) {}


    template <typename _Fun>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static __policy_invoker __create()
    {
        return __policy_invoker(&__call_impl<_Fun>);
    }

  private:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __policy_invoker(__Call __c) : __call_(__c) {}

    static _Rp __call_empty(const __policy_storage*,
                            __fast_forward<_ArgTypes>...)
    {
        __throw_bad_function_call();
    }

    template <typename _Fun>
    static _Rp __call_impl(const __policy_storage* __buf,
                           __fast_forward<_ArgTypes>... __args)
    {
        _Fun* __f = reinterpret_cast<_Fun*>(__use_small_storage<_Fun>::value
                                                ? &__buf->__small
                                                : __buf->__large);
        return (*__f)(std::__1::forward<_ArgTypes>(__args)...);
    }
};




template <class _Fp> class __policy_func;

template <class _Rp, class... _ArgTypes> class __policy_func<_Rp(_ArgTypes...)>
{

    __policy_storage __buf_;




    typedef __function::__policy_invoker<_Rp(_ArgTypes...)> __invoker;
    __invoker __invoker_;



    const __policy* __policy_;

  public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __policy_func() : __policy_(__policy::__create_empty()) {}

    template <class _Fp, class _Alloc>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __policy_func(_Fp&& __f, const _Alloc& __a)
        : __policy_(__policy::__create_empty())
    {
        typedef __alloc_func<_Fp, _Alloc, _Rp(_ArgTypes...)> _Fun;
        typedef allocator_traits<_Alloc> __alloc_traits;
        typedef typename __rebind_alloc_helper<__alloc_traits, _Fun>::type
            _FunAlloc;

        if (__function::__not_null(__f))
        {
            __invoker_ = __invoker::template __create<_Fun>();
            __policy_ = __policy::__create<_Fun>();

            _FunAlloc __af(__a);
            if (__use_small_storage<_Fun>())
            {
                ::new ((void*)&__buf_.__small)
                    _Fun(std::__1::move(__f), _Alloc(__af));
            }
            else
            {
                typedef __allocator_destructor<_FunAlloc> _Dp;
                unique_ptr<_Fun, _Dp> __hold(__af.allocate(1), _Dp(__af, 1));
                ::new ((void*)__hold.get())
                    _Fun(std::__1::move(__f), _Alloc(__af));
                __buf_.__large = __hold.release();
            }
        }
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __policy_func(const __policy_func& __f)
        : __buf_(__f.__buf_), __invoker_(__f.__invoker_),
          __policy_(__f.__policy_)
    {
        if (__policy_->__clone)
            __buf_.__large = __policy_->__clone(__f.__buf_.__large);
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __policy_func(__policy_func&& __f)
        : __buf_(__f.__buf_), __invoker_(__f.__invoker_),
          __policy_(__f.__policy_)
    {
        if (__policy_->__destroy)
        {
            __f.__policy_ = __policy::__create_empty();
            __f.__invoker_ = __invoker();
        }
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    ~__policy_func()
    {
        if (__policy_->__destroy)
            __policy_->__destroy(__buf_.__large);
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __policy_func& operator=(__policy_func&& __f)
    {
        *this = nullptr;
        __buf_ = __f.__buf_;
        __invoker_ = __f.__invoker_;
        __policy_ = __f.__policy_;
        __f.__policy_ = __policy::__create_empty();
        __f.__invoker_ = __invoker();
        return *this;
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __policy_func& operator=(nullptr_t)
    {
        const __policy* __p = __policy_;
        __policy_ = __policy::__create_empty();
        __invoker_ = __invoker();
        if (__p->__destroy)
            __p->__destroy(__buf_.__large);
        return *this;
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    _Rp operator()(_ArgTypes&&... __args) const
    {
        return __invoker_.__call_(std::__1::addressof(__buf_),
                                  std::__1::forward<_ArgTypes>(__args)...);
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    void swap(__policy_func& __f)
    {
        std::__1::swap(__invoker_, __f.__invoker_);
        std::__1::swap(__policy_, __f.__policy_);
        std::__1::swap(__buf_, __f.__buf_);
    }

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit operator bool() const noexcept
    {
        return !__policy_->__is_null;
    }


    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    const std::type_info& target_type() const noexcept
    {
        return *__policy_->__type_info;
    }

    template <typename _Tp>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) const _Tp* target() const noexcept
    {
        if (__policy_->__is_null || typeid(_Tp) != *__policy_->__type_info)
            return nullptr;
        if (__policy_->__clone)
            return reinterpret_cast<const _Tp*>(__buf_.__large);
        else
            return reinterpret_cast<const _Tp*>(&__buf_.__small);
    }

};

}

template<class _Rp, class ..._ArgTypes>
class __attribute__ ((__type_visibility__("default"))) function<_Rp(_ArgTypes...)>
    : public __function::__maybe_derive_from_unary_function<_Rp(_ArgTypes...)>,
      public __function::__maybe_derive_from_binary_function<_Rp(_ArgTypes...)>
{

    typedef __function::__value_func<_Rp(_ArgTypes...)> __func;




    __func __f_;

    template <class _Fp, bool = __lazy_and<
        integral_constant<bool, !is_same<__uncvref_t<_Fp>, function>::value>,
        __invokable<_Fp&, _ArgTypes...>
    >::value>
    struct __callable;
    template <class _Fp>
        struct __callable<_Fp, true>
        {
            static const bool value = is_same<void, _Rp>::value ||
                is_convertible<typename __invoke_of<_Fp&, _ArgTypes...>::type,
                               _Rp>::value;
        };
    template <class _Fp>
        struct __callable<_Fp, false>
        {
            static const bool value = false;
        };

  template <class _Fp>
  using _EnableIfCallable = typename enable_if<__callable<_Fp>::value>::type;
public:
    typedef _Rp result_type;


    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    function() noexcept { }
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    function(nullptr_t) noexcept {}
    function(const function&);
    function(function&&) noexcept;
    template<class _Fp, class = _EnableIfCallable<_Fp>>
    function(_Fp);
# 2224 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
    function& operator=(const function&);
    function& operator=(function&&) noexcept;
    function& operator=(nullptr_t) noexcept;
    template<class _Fp, class = _EnableIfCallable<_Fp>>
    function& operator=(_Fp&&);

    ~function();


    void swap(function&) noexcept;
# 2243 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit operator bool() const noexcept {
      return static_cast<bool>(__f_);
    }


    template<class _R2, class... _ArgTypes2>
      bool operator==(const function<_R2(_ArgTypes2...)>&) const = delete;
    template<class _R2, class... _ArgTypes2>
      bool operator!=(const function<_R2(_ArgTypes2...)>&) const = delete;
public:

    _Rp operator()(_ArgTypes...) const;



    const std::type_info& target_type() const noexcept;
    template <typename _Tp> _Tp* target() noexcept;
    template <typename _Tp> const _Tp* target() const noexcept;

};

template<class _Rp, class ..._ArgTypes>
function<_Rp(_ArgTypes...)>::function(const function& __f) : __f_(__f.__f_) {}
# 2275 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
template <class _Rp, class... _ArgTypes>
function<_Rp(_ArgTypes...)>::function(function&& __f) noexcept
    : __f_(std::__1::move(__f.__f_)) {}
# 2287 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
template <class _Rp, class... _ArgTypes>
template <class _Fp, class>
function<_Rp(_ArgTypes...)>::function(_Fp __f)
    : __f_(std::__1::move(__f), allocator<_Fp>()) {}
# 2300 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
template<class _Rp, class ..._ArgTypes>
function<_Rp(_ArgTypes...)>&
function<_Rp(_ArgTypes...)>::operator=(const function& __f)
{
    function(__f).swap(*this);
    return *this;
}

template<class _Rp, class ..._ArgTypes>
function<_Rp(_ArgTypes...)>&
function<_Rp(_ArgTypes...)>::operator=(function&& __f) noexcept
{
    __f_ = std::move(__f.__f_);
    return *this;
}

template<class _Rp, class ..._ArgTypes>
function<_Rp(_ArgTypes...)>&
function<_Rp(_ArgTypes...)>::operator=(nullptr_t) noexcept
{
    __f_ = nullptr;
    return *this;
}

template<class _Rp, class ..._ArgTypes>
template <class _Fp, class>
function<_Rp(_ArgTypes...)>&
function<_Rp(_ArgTypes...)>::operator=(_Fp&& __f)
{
    function(std::__1::forward<_Fp>(__f)).swap(*this);
    return *this;
}

template<class _Rp, class ..._ArgTypes>
function<_Rp(_ArgTypes...)>::~function() {}

template<class _Rp, class ..._ArgTypes>
void
function<_Rp(_ArgTypes...)>::swap(function& __f) noexcept
{
    __f_.swap(__f.__f_);
}

template<class _Rp, class ..._ArgTypes>
_Rp
function<_Rp(_ArgTypes...)>::operator()(_ArgTypes... __arg) const
{
    return __f_(std::__1::forward<_ArgTypes>(__arg)...);
}



template<class _Rp, class ..._ArgTypes>
const std::type_info&
function<_Rp(_ArgTypes...)>::target_type() const noexcept
{
    return __f_.target_type();
}

template<class _Rp, class ..._ArgTypes>
template <typename _Tp>
_Tp*
function<_Rp(_ArgTypes...)>::target() noexcept
{
    return (_Tp*)(__f_.template target<_Tp>());
}

template<class _Rp, class ..._ArgTypes>
template <typename _Tp>
const _Tp*
function<_Rp(_ArgTypes...)>::target() const noexcept
{
    return __f_.template target<_Tp>();
}



template <class _Rp, class... _ArgTypes>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator==(const function<_Rp(_ArgTypes...)>& __f, nullptr_t) noexcept {return !__f;}

template <class _Rp, class... _ArgTypes>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator==(nullptr_t, const function<_Rp(_ArgTypes...)>& __f) noexcept {return !__f;}

template <class _Rp, class... _ArgTypes>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(const function<_Rp(_ArgTypes...)>& __f, nullptr_t) noexcept {return (bool)__f;}

template <class _Rp, class... _ArgTypes>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
operator!=(nullptr_t, const function<_Rp(_ArgTypes...)>& __f) noexcept {return (bool)__f;}

template <class _Rp, class... _ArgTypes>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
swap(function<_Rp(_ArgTypes...)>& __x, function<_Rp(_ArgTypes...)>& __y) noexcept
{return __x.swap(__y);}
# 2413 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
template<class _Tp> struct __is_bind_expression : public false_type {};
template<class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_bind_expression
    : public __is_bind_expression<typename remove_cv<_Tp>::type> {};


template <class _Tp>
inline constexpr size_t is_bind_expression_v = is_bind_expression<_Tp>::value;


template<class _Tp> struct __is_placeholder : public integral_constant<int, 0> {};
template<class _Tp> struct __attribute__ ((__type_visibility__("default"))) is_placeholder
    : public __is_placeholder<typename remove_cv<_Tp>::type> {};


template <class _Tp>
inline constexpr size_t is_placeholder_v = is_placeholder<_Tp>::value;


namespace placeholders
{

template <int _Np> struct __ph {};
# 2448 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
                         constexpr __ph<1> _1{};
                         constexpr __ph<2> _2{};
                         constexpr __ph<3> _3{};
                         constexpr __ph<4> _4{};
                         constexpr __ph<5> _5{};
                         constexpr __ph<6> _6{};
                         constexpr __ph<7> _7{};
                         constexpr __ph<8> _8{};
                         constexpr __ph<9> _9{};
                         constexpr __ph<10> _10{};


}

template<int _Np>
struct __is_placeholder<placeholders::__ph<_Np> >
    : public integral_constant<int, _Np> {};




template <class _Tp, class _Uj>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Tp&
__mu(reference_wrapper<_Tp> __t, _Uj&)
{
    return __t.get();
}

template <class _Ti, class ..._Uj, size_t ..._Indx>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename __invoke_of<_Ti&, _Uj...>::type
__mu_expand(_Ti& __ti, tuple<_Uj...>& __uj, __tuple_indices<_Indx...>)
{
    return __ti(std::__1::forward<_Uj>(std::__1::get<_Indx>(__uj))...);
}

template <class _Ti, class ..._Uj>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename __lazy_enable_if
<
    is_bind_expression<_Ti>::value,
    __invoke_of<_Ti&, _Uj...>
>::type
__mu(_Ti& __ti, tuple<_Uj...>& __uj)
{
    typedef typename __make_tuple_indices<sizeof...(_Uj)>::type __indices;
    return __mu_expand(__ti, __uj, __indices());
}

template <bool IsPh, class _Ti, class _Uj>
struct __mu_return2 {};

template <class _Ti, class _Uj>
struct __mu_return2<true, _Ti, _Uj>
{
    typedef typename tuple_element<is_placeholder<_Ti>::value - 1, _Uj>::type type;
};

template <class _Ti, class _Uj>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    0 < is_placeholder<_Ti>::value,
    typename __mu_return2<0 < is_placeholder<_Ti>::value, _Ti, _Uj>::type
>::type
__mu(_Ti&, _Uj& __uj)
{
    const size_t _Indx = is_placeholder<_Ti>::value - 1;
    return std::__1::forward<typename tuple_element<_Indx, _Uj>::type>(std::__1::get<_Indx>(__uj));
}

template <class _Ti, class _Uj>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    !is_bind_expression<_Ti>::value &&
    is_placeholder<_Ti>::value == 0 &&
    !__is_reference_wrapper<_Ti>::value,
    _Ti&
>::type
__mu(_Ti& __ti, _Uj&)
{
    return __ti;
}

template <class _Ti, bool IsReferenceWrapper, bool IsBindEx, bool IsPh,
          class _TupleUj>
struct __mu_return_impl;

template <bool _Invokable, class _Ti, class ..._Uj>
struct __mu_return_invokable
{
    typedef __nat type;
};

template <class _Ti, class ..._Uj>
struct __mu_return_invokable<true, _Ti, _Uj...>
{
    typedef typename __invoke_of<_Ti&, _Uj...>::type type;
};

template <class _Ti, class ..._Uj>
struct __mu_return_impl<_Ti, false, true, false, tuple<_Uj...> >
    : public __mu_return_invokable<__invokable<_Ti&, _Uj...>::value, _Ti, _Uj...>
{
};

template <class _Ti, class _TupleUj>
struct __mu_return_impl<_Ti, false, false, true, _TupleUj>
{
    typedef typename tuple_element<is_placeholder<_Ti>::value - 1,
                                   _TupleUj>::type&& type;
};

template <class _Ti, class _TupleUj>
struct __mu_return_impl<_Ti, true, false, false, _TupleUj>
{
    typedef typename _Ti::type& type;
};

template <class _Ti, class _TupleUj>
struct __mu_return_impl<_Ti, false, false, false, _TupleUj>
{
    typedef _Ti& type;
};

template <class _Ti, class _TupleUj>
struct __mu_return
    : public __mu_return_impl<_Ti,
                              __is_reference_wrapper<_Ti>::value,
                              is_bind_expression<_Ti>::value,
                              0 < is_placeholder<_Ti>::value &&
                              is_placeholder<_Ti>::value <= tuple_size<_TupleUj>::value,
                              _TupleUj>
{
};

template <class _Fp, class _BoundArgs, class _TupleUj>
struct __is_valid_bind_return
{
    static const bool value = false;
};

template <class _Fp, class ..._BoundArgs, class _TupleUj>
struct __is_valid_bind_return<_Fp, tuple<_BoundArgs...>, _TupleUj>
{
    static const bool value = __invokable<_Fp,
                    typename __mu_return<_BoundArgs, _TupleUj>::type...>::value;
};

template <class _Fp, class ..._BoundArgs, class _TupleUj>
struct __is_valid_bind_return<_Fp, const tuple<_BoundArgs...>, _TupleUj>
{
    static const bool value = __invokable<_Fp,
                    typename __mu_return<const _BoundArgs, _TupleUj>::type...>::value;
};

template <class _Fp, class _BoundArgs, class _TupleUj,
          bool = __is_valid_bind_return<_Fp, _BoundArgs, _TupleUj>::value>
struct __bind_return;

template <class _Fp, class ..._BoundArgs, class _TupleUj>
struct __bind_return<_Fp, tuple<_BoundArgs...>, _TupleUj, true>
{
    typedef typename __invoke_of
    <
        _Fp&,
        typename __mu_return
        <
            _BoundArgs,
            _TupleUj
        >::type...
    >::type type;
};

template <class _Fp, class ..._BoundArgs, class _TupleUj>
struct __bind_return<_Fp, const tuple<_BoundArgs...>, _TupleUj, true>
{
    typedef typename __invoke_of
    <
        _Fp&,
        typename __mu_return
        <
            const _BoundArgs,
            _TupleUj
        >::type...
    >::type type;
};

template <class _Fp, class _BoundArgs, size_t ..._Indx, class _Args>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename __bind_return<_Fp, _BoundArgs, _Args>::type
__apply_functor(_Fp& __f, _BoundArgs& __bound_args, __tuple_indices<_Indx...>,
                _Args&& __args)
{
    return std::__1::__invoke(__f, std::__1::__mu(std::__1::get<_Indx>(__bound_args), __args)...);
}

template<class _Fp, class ..._BoundArgs>
class __bind
    : public __weak_result_type<typename decay<_Fp>::type>
{
protected:
    typedef typename decay<_Fp>::type _Fd;
    typedef tuple<typename decay<_BoundArgs>::type...> _Td;
private:
    _Fd __f_;
    _Td __bound_args_;

    typedef typename __make_tuple_indices<sizeof...(_BoundArgs)>::type __indices;
public:
    template <class _Gp, class ..._BA,
              class = typename enable_if
                               <
                                  is_constructible<_Fd, _Gp>::value &&
                                  !is_same<typename remove_reference<_Gp>::type,
                                           __bind>::value
                               >::type>
      __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
      explicit __bind(_Gp&& __f, _BA&& ...__bound_args)
        : __f_(std::__1::forward<_Gp>(__f)),
          __bound_args_(std::__1::forward<_BA>(__bound_args)...) {}

    template <class ..._Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        typename __bind_return<_Fd, _Td, tuple<_Args&&...> >::type
        operator()(_Args&& ...__args)
        {
            return std::__1::__apply_functor(__f_, __bound_args_, __indices(),
                                  tuple<_Args&&...>(std::__1::forward<_Args>(__args)...));
        }

    template <class ..._Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        typename __bind_return<const _Fd, const _Td, tuple<_Args&&...> >::type
        operator()(_Args&& ...__args) const
        {
            return std::__1::__apply_functor(__f_, __bound_args_, __indices(),
                                   tuple<_Args&&...>(std::__1::forward<_Args>(__args)...));
        }
};

template<class _Fp, class ..._BoundArgs>
struct __is_bind_expression<__bind<_Fp, _BoundArgs...> > : public true_type {};

template<class _Rp, class _Fp, class ..._BoundArgs>
class __bind_r
    : public __bind<_Fp, _BoundArgs...>
{
    typedef __bind<_Fp, _BoundArgs...> base;
    typedef typename base::_Fd _Fd;
    typedef typename base::_Td _Td;
public:
    typedef _Rp result_type;


    template <class _Gp, class ..._BA,
              class = typename enable_if
                               <
                                  is_constructible<_Fd, _Gp>::value &&
                                  !is_same<typename remove_reference<_Gp>::type,
                                           __bind_r>::value
                               >::type>
      __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
      explicit __bind_r(_Gp&& __f, _BA&& ...__bound_args)
        : base(std::__1::forward<_Gp>(__f),
               std::__1::forward<_BA>(__bound_args)...) {}

    template <class ..._Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        typename enable_if
        <
            is_convertible<typename __bind_return<_Fd, _Td, tuple<_Args&&...> >::type,
                           result_type>::value || is_void<_Rp>::value,
            result_type
        >::type
        operator()(_Args&& ...__args)
        {
            typedef __invoke_void_return_wrapper<_Rp> _Invoker;
            return _Invoker::__call(static_cast<base&>(*this), std::__1::forward<_Args>(__args)...);
        }

    template <class ..._Args>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
        typename enable_if
        <
            is_convertible<typename __bind_return<const _Fd, const _Td, tuple<_Args&&...> >::type,
                           result_type>::value || is_void<_Rp>::value,
            result_type
        >::type
        operator()(_Args&& ...__args) const
        {
            typedef __invoke_void_return_wrapper<_Rp> _Invoker;
            return _Invoker::__call(static_cast<base const&>(*this), std::__1::forward<_Args>(__args)...);
        }
};

template<class _Rp, class _Fp, class ..._BoundArgs>
struct __is_bind_expression<__bind_r<_Rp, _Fp, _BoundArgs...> > : public true_type {};

template<class _Fp, class ..._BoundArgs>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__bind<_Fp, _BoundArgs...>
bind(_Fp&& __f, _BoundArgs&&... __bound_args)
{
    typedef __bind<_Fp, _BoundArgs...> type;
    return type(std::__1::forward<_Fp>(__f), std::__1::forward<_BoundArgs>(__bound_args)...);
}

template<class _Rp, class _Fp, class ..._BoundArgs>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__bind_r<_Rp, _Fp, _BoundArgs...>
bind(_Fp&& __f, _BoundArgs&&... __bound_args)
{
    typedef __bind_r<_Rp, _Fp, _BoundArgs...> type;
    return type(std::__1::forward<_Fp>(__f), std::__1::forward<_BoundArgs>(__bound_args)...);
}





template <class _Fn, class ..._Args>
result_of_t<_Fn&&(_Args&&...)>
invoke(_Fn&& __f, _Args&&... __args)
    noexcept(noexcept(std::__1::__invoke(std::__1::forward<_Fn>(__f), std::__1::forward<_Args>(__args)...)))
{
    return std::__1::__invoke(std::__1::forward<_Fn>(__f), std::__1::forward<_Args>(__args)...);
}

template <class _DecayFunc>
class __attribute__ ((__type_visibility__("default"))) __not_fn_imp {
  _DecayFunc __fd;

public:
    __not_fn_imp() = delete;

    template <class ..._Args>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_Args&& ...__args) &
            noexcept(noexcept(!std::__1::invoke(__fd, std::__1::forward<_Args>(__args)...)))
        -> decltype( !std::__1::invoke(__fd, std::__1::forward<_Args>(__args)...))
        { return !std::__1::invoke(__fd, std::__1::forward<_Args>(__args)...); }

    template <class ..._Args>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_Args&& ...__args) &&
            noexcept(noexcept(!std::__1::invoke(std::__1::move(__fd), std::__1::forward<_Args>(__args)...)))
        -> decltype( !std::__1::invoke(std::__1::move(__fd), std::__1::forward<_Args>(__args)...))
        { return !std::__1::invoke(std::__1::move(__fd), std::__1::forward<_Args>(__args)...); }

    template <class ..._Args>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_Args&& ...__args) const&
            noexcept(noexcept(!std::__1::invoke(__fd, std::__1::forward<_Args>(__args)...)))
        -> decltype( !std::__1::invoke(__fd, std::__1::forward<_Args>(__args)...))
        { return !std::__1::invoke(__fd, std::__1::forward<_Args>(__args)...); }


    template <class ..._Args>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    auto operator()(_Args&& ...__args) const&&
            noexcept(noexcept(!std::__1::invoke(std::__1::move(__fd), std::__1::forward<_Args>(__args)...)))
        -> decltype( !std::__1::invoke(std::__1::move(__fd), std::__1::forward<_Args>(__args)...))
        { return !std::__1::invoke(std::__1::move(__fd), std::__1::forward<_Args>(__args)...); }

private:
    template <class _RawFunc,
              class = enable_if_t<!is_same<decay_t<_RawFunc>, __not_fn_imp>::value>>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __not_fn_imp(_RawFunc&& __rf)
        : __fd(std::__1::forward<_RawFunc>(__rf)) {}

    template <class _RawFunc>
    friend inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    __not_fn_imp<decay_t<_RawFunc>> not_fn(_RawFunc&&);
};

template <class _RawFunc>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
__not_fn_imp<decay_t<_RawFunc>> not_fn(_RawFunc&& __fn) {
    return __not_fn_imp<decay_t<_RawFunc>>(std::__1::forward<_RawFunc>(__fn));
}





template <class _BinaryPredicate, class _ForwardIterator1, class _ForwardIterator2>
pair<_ForwardIterator1, _ForwardIterator1> constexpr
__search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
         _ForwardIterator2 __first2, _ForwardIterator2 __last2, _BinaryPredicate __pred,
         forward_iterator_tag, forward_iterator_tag)
{
    if (__first2 == __last2)
        return make_pair(__first1, __first1);
    while (true)
    {

        while (true)
        {
            if (__first1 == __last1)
                return make_pair(__last1, __last1);
            if (__pred(*__first1, *__first2))
                break;
            ++__first1;
        }

        _ForwardIterator1 __m1 = __first1;
        _ForwardIterator2 __m2 = __first2;
        while (true)
        {
            if (++__m2 == __last2)
                return make_pair(__first1, __m1);
            if (++__m1 == __last1)
                return make_pair(__last1, __last1);
            if (!__pred(*__m1, *__m2))
            {
                ++__first1;
                break;
            }
        }
    }
}

template <class _BinaryPredicate, class _RandomAccessIterator1, class _RandomAccessIterator2>
constexpr
pair<_RandomAccessIterator1, _RandomAccessIterator1>
__search(_RandomAccessIterator1 __first1, _RandomAccessIterator1 __last1,
         _RandomAccessIterator2 __first2, _RandomAccessIterator2 __last2, _BinaryPredicate __pred,
           random_access_iterator_tag, random_access_iterator_tag)
{
    typedef typename iterator_traits<_RandomAccessIterator1>::difference_type _D1;
    typedef typename iterator_traits<_RandomAccessIterator2>::difference_type _D2;

    const _D2 __len2 = __last2 - __first2;
    if (__len2 == 0)
        return make_pair(__first1, __first1);
    const _D1 __len1 = __last1 - __first1;
    if (__len1 < __len2)
        return make_pair(__last1, __last1);
    const _RandomAccessIterator1 __s = __last1 - (__len2 - 1);

    while (true)
    {
        while (true)
        {
            if (__first1 == __s)
                return make_pair(__last1, __last1);
            if (__pred(*__first1, *__first2))
                break;
            ++__first1;
        }

        _RandomAccessIterator1 __m1 = __first1;
        _RandomAccessIterator2 __m2 = __first2;
         while (true)
         {
             if (++__m2 == __last2)
                 return make_pair(__first1, __first1 + __len2);
             ++__m1;
             if (!__pred(*__m1, *__m2))
             {
                 ++__first1;
                 break;
             }
         }
    }
}




template<class _ForwardIterator, class _BinaryPredicate = equal_to<>>
class __attribute__ ((__visibility__("default"))) default_searcher {
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    default_searcher(_ForwardIterator __f, _ForwardIterator __l,
                       _BinaryPredicate __p = _BinaryPredicate())
        : __first_(__f), __last_(__l), __pred_(__p) {}

    template <typename _ForwardIterator2>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    pair<_ForwardIterator2, _ForwardIterator2>
    operator () (_ForwardIterator2 __f, _ForwardIterator2 __l) const
    {
        return std::__1::__search(__f, __l, __first_, __last_, __pred_,
            typename std::__1::iterator_traits<_ForwardIterator>::iterator_category(),
            typename std::__1::iterator_traits<_ForwardIterator2>::iterator_category());
    }

private:
    _ForwardIterator __first_;
    _ForwardIterator __last_;
    _BinaryPredicate __pred_;
    };
# 2956 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/functional" 3
template <class _Container, class _Predicate>
inline void __libcpp_erase_if_container( _Container& __c, _Predicate __pred)
{
 for (typename _Container::iterator __iter = __c.begin(), __last = __c.end(); __iter != __last;)
 {
  if (__pred(*__iter))
   __iter = __c.erase(__iter);
  else
   ++__iter;
 }
}

} }
# 646 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 2 3


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/bit" 1 3
# 23 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/bit" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 24 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/bit" 2 3
# 35 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/bit" 3


namespace std { inline namespace __1 {



inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
int __ctz(unsigned __x) { return __builtin_ctz(__x); }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
int __ctz(unsigned long __x) { return __builtin_ctzl(__x); }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
int __ctz(unsigned long long __x) { return __builtin_ctzll(__x); }


inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
int __clz(unsigned __x) { return __builtin_clz(__x); }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
int __clz(unsigned long __x) { return __builtin_clzl(__x); }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
int __clz(unsigned long long __x) { return __builtin_clzll(__x); }


inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
int __popcount(unsigned __x) { return __builtin_popcount(__x); }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
int __popcount(unsigned long __x) { return __builtin_popcountl(__x); }

inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
int __popcount(unsigned long long __x) { return __builtin_popcountll(__x); }
# 156 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/bit" 3
} }
# 649 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 2 3
# 655 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 3



# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__undef_macros" 1 3
# 659 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 2 3


namespace std { inline namespace __1 {




template <class _T1, class _T2 = _T1>
struct __equal_to
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr bool operator()(const _T1& __x, const _T1& __y) const {return __x == __y;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr bool operator()(const _T1& __x, const _T2& __y) const {return __x == __y;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr bool operator()(const _T2& __x, const _T1& __y) const {return __x == __y;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr bool operator()(const _T2& __x, const _T2& __y) const {return __x == __y;}
};

template <class _T1>
struct __equal_to<_T1, _T1>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T1& __x, const _T1& __y) const {return __x == __y;}
};

template <class _T1>
struct __equal_to<const _T1, _T1>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T1& __x, const _T1& __y) const {return __x == __y;}
};

template <class _T1>
struct __equal_to<_T1, const _T1>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T1& __x, const _T1& __y) const {return __x == __y;}
};

template <class _T1, class _T2 = _T1>
struct __less
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T1& __x, const _T1& __y) const {return __x < __y;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T1& __x, const _T2& __y) const {return __x < __y;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T2& __x, const _T1& __y) const {return __x < __y;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T2& __x, const _T2& __y) const {return __x < __y;}
};

template <class _T1>
struct __less<_T1, _T1>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T1& __x, const _T1& __y) const {return __x < __y;}
};

template <class _T1>
struct __less<const _T1, _T1>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T1& __x, const _T1& __y) const {return __x < __y;}
};

template <class _T1>
struct __less<_T1, const _T1>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _T1& __x, const _T1& __y) const {return __x < __y;}
};

template <class _Predicate>
class __invert
{
private:
    _Predicate __p_;
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) __invert() {}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    explicit __invert(_Predicate __p) : __p_(__p) {}

    template <class _T1>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _T1& __x) {return !__p_(__x);}

    template <class _T1, class _T2>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
    bool operator()(const _T1& __x, const _T2& __y) {return __p_(__y, __x);}
};



template <typename _Integral>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if
<
    is_integral<_Integral>::value,
    _Integral
>::type
__half_positive(_Integral __value)
{
    return static_cast<_Integral>(static_cast<typename make_unsigned<_Integral>::type>(__value) / 2);
}

template <typename _Tp>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if
<
    !is_integral<_Tp>::value,
    _Tp
>::type
__half_positive(_Tp __value)
{
    return __value / 2;
}
# 814 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 3
template <class _InputIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
all_of(_InputIterator __first, _InputIterator __last, _Predicate __pred)
{
    for (; __first != __last; ++__first)
        if (!__pred(*__first))
            return false;
    return true;
}



template <class _InputIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
any_of(_InputIterator __first, _InputIterator __last, _Predicate __pred)
{
    for (; __first != __last; ++__first)
        if (__pred(*__first))
            return true;
    return false;
}



template <class _InputIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
none_of(_InputIterator __first, _InputIterator __last, _Predicate __pred)
{
    for (; __first != __last; ++__first)
        if (__pred(*__first))
            return false;
    return true;
}



template <class _InputIterator, class _Function>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Function
for_each(_InputIterator __first, _InputIterator __last, _Function __f)
{
    for (; __first != __last; ++__first)
        __f(*__first);
    return __f;
}




template <class _InputIterator, class _Size, class _Function>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_InputIterator
for_each_n(_InputIterator __first, _Size __orig_n, _Function __f)
{
    typedef decltype(__convert_to_integral(__orig_n)) _IntegralSize;
    _IntegralSize __n = __orig_n;
    while (__n > 0)
    {
         __f(*__first);
         ++__first;
         --__n;
    }
    return __first;
}




template <class _InputIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_InputIterator
find(_InputIterator __first, _InputIterator __last, const _Tp& __value_)
{
    for (; __first != __last; ++__first)
        if (*__first == __value_)
            break;
    return __first;
}



template <class _InputIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_InputIterator
find_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
{
    for (; __first != __last; ++__first)
        if (__pred(*__first))
            break;
    return __first;
}



template<class _InputIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_InputIterator
find_if_not(_InputIterator __first, _InputIterator __last, _Predicate __pred)
{
    for (; __first != __last; ++__first)
        if (!__pred(*__first))
            break;
    return __first;
}



template <class _BinaryPredicate, class _ForwardIterator1, class _ForwardIterator2>
                              _ForwardIterator1
__find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
           _ForwardIterator2 __first2, _ForwardIterator2 __last2, _BinaryPredicate __pred,
           forward_iterator_tag, forward_iterator_tag)
{

    _ForwardIterator1 __r = __last1;
    if (__first2 == __last2)
        return __r;
    while (true)
    {
        while (true)
        {
            if (__first1 == __last1)
                return __r;
            if (__pred(*__first1, *__first2))
                break;
            ++__first1;
        }

        _ForwardIterator1 __m1 = __first1;
        _ForwardIterator2 __m2 = __first2;
        while (true)
        {
            if (++__m2 == __last2)
            {
                __r = __first1;
                ++__first1;
                break;
            }
            if (++__m1 == __last1)
                return __r;
            if (!__pred(*__m1, *__m2))
            {
                ++__first1;
                break;
            }
        }
    }
}

template <class _BinaryPredicate, class _BidirectionalIterator1, class _BidirectionalIterator2>
                              _BidirectionalIterator1
__find_end(_BidirectionalIterator1 __first1, _BidirectionalIterator1 __last1,
           _BidirectionalIterator2 __first2, _BidirectionalIterator2 __last2, _BinaryPredicate __pred,
           bidirectional_iterator_tag, bidirectional_iterator_tag)
{

    if (__first2 == __last2)
        return __last1;
    _BidirectionalIterator1 __l1 = __last1;
    _BidirectionalIterator2 __l2 = __last2;
    --__l2;
    while (true)
    {

        while (true)
        {
            if (__first1 == __l1)
                return __last1;
            if (__pred(*--__l1, *__l2))
                break;
        }

        _BidirectionalIterator1 __m1 = __l1;
        _BidirectionalIterator2 __m2 = __l2;
        while (true)
        {
            if (__m2 == __first2)
                return __m1;
            if (__m1 == __first1)
                return __last1;
            if (!__pred(*--__m1, *--__m2))
            {
                break;
            }
        }
    }
}

template <class _BinaryPredicate, class _RandomAccessIterator1, class _RandomAccessIterator2>
constexpr _RandomAccessIterator1
__find_end(_RandomAccessIterator1 __first1, _RandomAccessIterator1 __last1,
           _RandomAccessIterator2 __first2, _RandomAccessIterator2 __last2, _BinaryPredicate __pred,
           random_access_iterator_tag, random_access_iterator_tag)
{

    typename iterator_traits<_RandomAccessIterator2>::difference_type __len2 = __last2 - __first2;
    if (__len2 == 0)
        return __last1;
    typename iterator_traits<_RandomAccessIterator1>::difference_type __len1 = __last1 - __first1;
    if (__len1 < __len2)
        return __last1;
    const _RandomAccessIterator1 __s = __first1 + (__len2 - 1);
    _RandomAccessIterator1 __l1 = __last1;
    _RandomAccessIterator2 __l2 = __last2;
    --__l2;
    while (true)
    {
        while (true)
        {
            if (__s == __l1)
                return __last1;
            if (__pred(*--__l1, *__l2))
                break;
        }
        _RandomAccessIterator1 __m1 = __l1;
        _RandomAccessIterator2 __m2 = __l2;
        while (true)
        {
            if (__m2 == __first2)
                return __m1;

            if (!__pred(*--__m1, *--__m2))
            {
                break;
            }
        }
    }
}

template <class _ForwardIterator1, class _ForwardIterator2, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator1
find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
         _ForwardIterator2 __first2, _ForwardIterator2 __last2, _BinaryPredicate __pred)
{
    return std::__1::__find_end<typename add_lvalue_reference<_BinaryPredicate>::type>
                         (__first1, __last1, __first2, __last2, __pred,
                          typename iterator_traits<_ForwardIterator1>::iterator_category(),
                          typename iterator_traits<_ForwardIterator2>::iterator_category());
}

template <class _ForwardIterator1, class _ForwardIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator1
find_end(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
         _ForwardIterator2 __first2, _ForwardIterator2 __last2)
{
    typedef typename iterator_traits<_ForwardIterator1>::value_type __v1;
    typedef typename iterator_traits<_ForwardIterator2>::value_type __v2;
    return std::__1::find_end(__first1, __last1, __first2, __last2, __equal_to<__v1, __v2>());
}



template <class _ForwardIterator1, class _ForwardIterator2, class _BinaryPredicate>
constexpr _ForwardIterator1
__find_first_of_ce(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
              _ForwardIterator2 __first2, _ForwardIterator2 __last2, _BinaryPredicate __pred)
{
    for (; __first1 != __last1; ++__first1)
        for (_ForwardIterator2 __j = __first2; __j != __last2; ++__j)
            if (__pred(*__first1, *__j))
                return __first1;
    return __last1;
}


template <class _ForwardIterator1, class _ForwardIterator2, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator1
find_first_of(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
              _ForwardIterator2 __first2, _ForwardIterator2 __last2, _BinaryPredicate __pred)
{
    return std::__1::__find_first_of_ce(__first1, __last1, __first2, __last2, __pred);
}

template <class _ForwardIterator1, class _ForwardIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator1
find_first_of(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
              _ForwardIterator2 __first2, _ForwardIterator2 __last2)
{
    typedef typename iterator_traits<_ForwardIterator1>::value_type __v1;
    typedef typename iterator_traits<_ForwardIterator2>::value_type __v2;
    return std::__1::__find_first_of_ce(__first1, __last1, __first2, __last2, __equal_to<__v1, __v2>());
}



template <class _ForwardIterator, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
adjacent_find(_ForwardIterator __first, _ForwardIterator __last, _BinaryPredicate __pred)
{
    if (__first != __last)
    {
        _ForwardIterator __i = __first;
        while (++__i != __last)
        {
            if (__pred(*__first, *__i))
                return __first;
            __first = __i;
        }
    }
    return __last;
}

template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
adjacent_find(_ForwardIterator __first, _ForwardIterator __last)
{
    typedef typename iterator_traits<_ForwardIterator>::value_type __v;
    return std::__1::adjacent_find(__first, __last, __equal_to<__v>());
}



template <class _InputIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename iterator_traits<_InputIterator>::difference_type
count(_InputIterator __first, _InputIterator __last, const _Tp& __value_)
{
    typename iterator_traits<_InputIterator>::difference_type __r(0);
    for (; __first != __last; ++__first)
        if (*__first == __value_)
            ++__r;
    return __r;
}



template <class _InputIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename iterator_traits<_InputIterator>::difference_type
count_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
{
    typename iterator_traits<_InputIterator>::difference_type __r(0);
    for (; __first != __last; ++__first)
        if (__pred(*__first))
            ++__r;
    return __r;
}



template <class _InputIterator1, class _InputIterator2, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
pair<_InputIterator1, _InputIterator2>
mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
         _InputIterator2 __first2, _BinaryPredicate __pred)
{
    for (; __first1 != __last1; ++__first1, (void) ++__first2)
        if (!__pred(*__first1, *__first2))
            break;
    return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
}

template <class _InputIterator1, class _InputIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
pair<_InputIterator1, _InputIterator2>
mismatch(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2)
{
    typedef typename iterator_traits<_InputIterator1>::value_type __v1;
    typedef typename iterator_traits<_InputIterator2>::value_type __v2;
    return std::__1::mismatch(__first1, __last1, __first2, __equal_to<__v1, __v2>());
}


template <class _InputIterator1, class _InputIterator2, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
pair<_InputIterator1, _InputIterator2>
mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
         _InputIterator2 __first2, _InputIterator2 __last2,
         _BinaryPredicate __pred)
{
    for (; __first1 != __last1 && __first2 != __last2; ++__first1, (void) ++__first2)
        if (!__pred(*__first1, *__first2))
            break;
    return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
}

template <class _InputIterator1, class _InputIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
pair<_InputIterator1, _InputIterator2>
mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
         _InputIterator2 __first2, _InputIterator2 __last2)
{
    typedef typename iterator_traits<_InputIterator1>::value_type __v1;
    typedef typename iterator_traits<_InputIterator2>::value_type __v2;
    return std::__1::mismatch(__first1, __last1, __first2, __last2, __equal_to<__v1, __v2>());
}




template <class _InputIterator1, class _InputIterator2, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
equal(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _BinaryPredicate __pred)
{
    for (; __first1 != __last1; ++__first1, (void) ++__first2)
        if (!__pred(*__first1, *__first2))
            return false;
    return true;
}

template <class _InputIterator1, class _InputIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
equal(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2)
{
    typedef typename iterator_traits<_InputIterator1>::value_type __v1;
    typedef typename iterator_traits<_InputIterator2>::value_type __v2;
    return std::__1::equal(__first1, __last1, __first2, __equal_to<__v1, __v2>());
}


template <class _BinaryPredicate, class _InputIterator1, class _InputIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
__equal(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2, _BinaryPredicate __pred,
        input_iterator_tag, input_iterator_tag )
{
    for (; __first1 != __last1 && __first2 != __last2; ++__first1, (void) ++__first2)
        if (!__pred(*__first1, *__first2))
            return false;
    return __first1 == __last1 && __first2 == __last2;
}

template <class _BinaryPredicate, class _RandomAccessIterator1, class _RandomAccessIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
__equal(_RandomAccessIterator1 __first1, _RandomAccessIterator1 __last1,
        _RandomAccessIterator2 __first2, _RandomAccessIterator2 __last2, _BinaryPredicate __pred,
      random_access_iterator_tag, random_access_iterator_tag )
{
    if ( std::__1::distance(__first1, __last1) != std::__1::distance(__first2, __last2))
        return false;
    return std::__1::equal<_RandomAccessIterator1, _RandomAccessIterator2,
                        typename add_lvalue_reference<_BinaryPredicate>::type>
                       (__first1, __last1, __first2, __pred );
}

template <class _InputIterator1, class _InputIterator2, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
equal(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2, _BinaryPredicate __pred )
{
    return std::__1::__equal<typename add_lvalue_reference<_BinaryPredicate>::type>
       (__first1, __last1, __first2, __last2, __pred,
        typename iterator_traits<_InputIterator1>::iterator_category(),
        typename iterator_traits<_InputIterator2>::iterator_category());
}

template <class _InputIterator1, class _InputIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
equal(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2)
{
    typedef typename iterator_traits<_InputIterator1>::value_type __v1;
    typedef typename iterator_traits<_InputIterator2>::value_type __v2;
    return std::__1::__equal(__first1, __last1, __first2, __last2, __equal_to<__v1, __v2>(),
        typename iterator_traits<_InputIterator1>::iterator_category(),
        typename iterator_traits<_InputIterator2>::iterator_category());
}




template<class _ForwardIterator1, class _ForwardIterator2, class _BinaryPredicate>
                              bool
is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
               _ForwardIterator2 __first2, _BinaryPredicate __pred)
{

    for (; __first1 != __last1; ++__first1, (void) ++__first2)
        if (!__pred(*__first1, *__first2))
            break;
    if (__first1 == __last1)
        return true;


    typedef typename iterator_traits<_ForwardIterator1>::difference_type _D1;
    _D1 __l1 = std::__1::distance(__first1, __last1);
    if (__l1 == _D1(1))
        return false;
    _ForwardIterator2 __last2 = std::__1::next(__first2, __l1);


    for (_ForwardIterator1 __i = __first1; __i != __last1; ++__i)
    {

        _ForwardIterator1 __match = __first1;
        for (; __match != __i; ++__match)
            if (__pred(*__match, *__i))
                break;
        if (__match == __i) {

            _D1 __c2 = 0;
            for (_ForwardIterator2 __j = __first2; __j != __last2; ++__j)
                if (__pred(*__i, *__j))
                    ++__c2;
            if (__c2 == 0)
                return false;

            _D1 __c1 = 1;
            for (_ForwardIterator1 __j = std::__1::next(__i); __j != __last1; ++__j)
                if (__pred(*__i, *__j))
                    ++__c1;
            if (__c1 != __c2)
                return false;
        }
    }
    return true;
}

template<class _ForwardIterator1, class _ForwardIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
               _ForwardIterator2 __first2)
{
    typedef typename iterator_traits<_ForwardIterator1>::value_type __v1;
    typedef typename iterator_traits<_ForwardIterator2>::value_type __v2;
    return std::__1::is_permutation(__first1, __last1, __first2, __equal_to<__v1, __v2>());
}


template<class _BinaryPredicate, class _ForwardIterator1, class _ForwardIterator2>
                              bool
__is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
                 _ForwardIterator2 __first2, _ForwardIterator2 __last2,
                 _BinaryPredicate __pred,
                 forward_iterator_tag, forward_iterator_tag )
{

    for (; __first1 != __last1 && __first2 != __last2; ++__first1, (void) ++__first2)
        if (!__pred(*__first1, *__first2))
            break;
    if (__first1 == __last1)
        return __first2 == __last2;
    else if (__first2 == __last2)
        return false;

    typedef typename iterator_traits<_ForwardIterator1>::difference_type _D1;
    _D1 __l1 = std::__1::distance(__first1, __last1);

    typedef typename iterator_traits<_ForwardIterator2>::difference_type _D2;
    _D2 __l2 = std::__1::distance(__first2, __last2);
    if (__l1 != __l2)
        return false;



    for (_ForwardIterator1 __i = __first1; __i != __last1; ++__i)
    {

        _ForwardIterator1 __match = __first1;
        for (; __match != __i; ++__match)
            if (__pred(*__match, *__i))
                break;
        if (__match == __i) {

            _D1 __c2 = 0;
            for (_ForwardIterator2 __j = __first2; __j != __last2; ++__j)
                if (__pred(*__i, *__j))
                    ++__c2;
            if (__c2 == 0)
                return false;

            _D1 __c1 = 1;
            for (_ForwardIterator1 __j = std::__1::next(__i); __j != __last1; ++__j)
                if (__pred(*__i, *__j))
                    ++__c1;
            if (__c1 != __c2)
                return false;
        }
    }
    return true;
}

template<class _BinaryPredicate, class _RandomAccessIterator1, class _RandomAccessIterator2>
                              bool
__is_permutation(_RandomAccessIterator1 __first1, _RandomAccessIterator2 __last1,
               _RandomAccessIterator1 __first2, _RandomAccessIterator2 __last2,
               _BinaryPredicate __pred,
               random_access_iterator_tag, random_access_iterator_tag )
{
    if ( std::__1::distance(__first1, __last1) != std::__1::distance(__first2, __last2))
        return false;
    return std::__1::is_permutation<_RandomAccessIterator1, _RandomAccessIterator2,
                                 typename add_lvalue_reference<_BinaryPredicate>::type>
                                (__first1, __last1, __first2, __pred );
}

template<class _ForwardIterator1, class _ForwardIterator2, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
               _ForwardIterator2 __first2, _ForwardIterator2 __last2,
               _BinaryPredicate __pred )
{
    return std::__1::__is_permutation<typename add_lvalue_reference<_BinaryPredicate>::type>
       (__first1, __last1, __first2, __last2, __pred,
        typename iterator_traits<_ForwardIterator1>::iterator_category(),
        typename iterator_traits<_ForwardIterator2>::iterator_category());
}

template<class _ForwardIterator1, class _ForwardIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
               _ForwardIterator2 __first2, _ForwardIterator2 __last2)
{
    typedef typename iterator_traits<_ForwardIterator1>::value_type __v1;
    typedef typename iterator_traits<_ForwardIterator2>::value_type __v2;
    return std::__1::__is_permutation(__first1, __last1, __first2, __last2,
        __equal_to<__v1, __v2>(),
        typename iterator_traits<_ForwardIterator1>::iterator_category(),
        typename iterator_traits<_ForwardIterator2>::iterator_category());
}





template <class _ForwardIterator1, class _ForwardIterator2, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator1
search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
       _ForwardIterator2 __first2, _ForwardIterator2 __last2, _BinaryPredicate __pred)
{
    return std::__1::__search<typename add_lvalue_reference<_BinaryPredicate>::type>
                         (__first1, __last1, __first2, __last2, __pred,
                          typename iterator_traits<_ForwardIterator1>::iterator_category(),
                          typename iterator_traits<_ForwardIterator2>::iterator_category())
            .first;
}

template <class _ForwardIterator1, class _ForwardIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator1
search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
       _ForwardIterator2 __first2, _ForwardIterator2 __last2)
{
    typedef typename iterator_traits<_ForwardIterator1>::value_type __v1;
    typedef typename iterator_traits<_ForwardIterator2>::value_type __v2;
    return std::__1::search(__first1, __last1, __first2, __last2, __equal_to<__v1, __v2>());
}



template <class _ForwardIterator, class _Searcher>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator search(_ForwardIterator __f, _ForwardIterator __l, const _Searcher &__s)
{ return __s(__f, __l).first; }




template <class _BinaryPredicate, class _ForwardIterator, class _Size, class _Tp>
                              _ForwardIterator
__search_n(_ForwardIterator __first, _ForwardIterator __last,
           _Size __count, const _Tp& __value_, _BinaryPredicate __pred, forward_iterator_tag)
{
    if (__count <= 0)
        return __first;
    while (true)
    {

        while (true)
        {
            if (__first == __last)
                return __last;
            if (__pred(*__first, __value_))
                break;
            ++__first;
        }

        _ForwardIterator __m = __first;
        _Size __c(0);
        while (true)
        {
            if (++__c == __count)
                return __first;
            if (++__m == __last)
                return __last;
            if (!__pred(*__m, __value_))
            {
                __first = __m;
                ++__first;
                break;
            }
        }
    }
}

template <class _BinaryPredicate, class _RandomAccessIterator, class _Size, class _Tp>
                              _RandomAccessIterator
__search_n(_RandomAccessIterator __first, _RandomAccessIterator __last,
           _Size __count, const _Tp& __value_, _BinaryPredicate __pred, random_access_iterator_tag)
{
    if (__count <= 0)
        return __first;
    _Size __len = static_cast<_Size>(__last - __first);
    if (__len < __count)
        return __last;
    const _RandomAccessIterator __s = __last - (__count - 1);
    while (true)
    {

        while (true)
        {
            if (__first >= __s)
                return __last;
            if (__pred(*__first, __value_))
                break;
            ++__first;
        }

        _RandomAccessIterator __m = __first;
        _Size __c(0);
        while (true)
        {
            if (++__c == __count)
                return __first;
             ++__m;
            if (!__pred(*__m, __value_))
            {
                __first = __m;
                ++__first;
                break;
            }
        }
    }
}

template <class _ForwardIterator, class _Size, class _Tp, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
search_n(_ForwardIterator __first, _ForwardIterator __last,
         _Size __count, const _Tp& __value_, _BinaryPredicate __pred)
{
    return std::__1::__search_n<typename add_lvalue_reference<_BinaryPredicate>::type>
           (__first, __last, __convert_to_integral(__count), __value_, __pred,
           typename iterator_traits<_ForwardIterator>::iterator_category());
}

template <class _ForwardIterator, class _Size, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
search_n(_ForwardIterator __first, _ForwardIterator __last, _Size __count, const _Tp& __value_)
{
    typedef typename iterator_traits<_ForwardIterator>::value_type __v;
    return std::__1::search_n(__first, __last, __convert_to_integral(__count),
                           __value_, __equal_to<__v, _Tp>());
}


template <class _Iter>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Iter
__unwrap_iter(_Iter __i)
{
    return __i;
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_trivially_copy_assignable<_Tp>::value,
    _Tp*
>::type
__unwrap_iter(move_iterator<_Tp*> __i)
{
    return __i.base();
}



template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if
<
    is_trivially_copy_assignable<_Tp>::value,
    _Tp*
>::type
__unwrap_iter(__wrap_iter<_Tp*> __i)
{
    return __i.base();
}
# 1630 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 3
template <class _InputIterator, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
__copy(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
{
    for (; __first != __last; ++__first, (void) ++__result)
        *__result = *__first;
    return __result;
}

template <class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_same<typename remove_const<_Tp>::type, _Up>::value &&
    is_trivially_copy_assignable<_Up>::value,
    _Up*
>::type
__copy(_Tp* __first, _Tp* __last, _Up* __result)
{
    const size_t __n = static_cast<size_t>(__last - __first);
    if (__n > 0)
        std::__1::memmove(__result, __first, __n * sizeof(_Up));
    return __result + __n;
}

template <class _InputIterator, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
copy(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
{
    return std::__1::__copy(__unwrap_iter(__first), __unwrap_iter(__last), __unwrap_iter(__result));
}



template <class _BidirectionalIterator, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
__copy_backward(_BidirectionalIterator __first, _BidirectionalIterator __last, _OutputIterator __result)
{
    while (__first != __last)
        *--__result = *--__last;
    return __result;
}

template <class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_same<typename remove_const<_Tp>::type, _Up>::value &&
    is_trivially_copy_assignable<_Up>::value,
    _Up*
>::type
__copy_backward(_Tp* __first, _Tp* __last, _Up* __result)
{
    const size_t __n = static_cast<size_t>(__last - __first);
    if (__n > 0)
    {
        __result -= __n;
        std::__1::memmove(__result, __first, __n * sizeof(_Up));
    }
    return __result;
}

template <class _BidirectionalIterator1, class _BidirectionalIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_BidirectionalIterator2
copy_backward(_BidirectionalIterator1 __first, _BidirectionalIterator1 __last,
              _BidirectionalIterator2 __result)
{
    return std::__1::__copy_backward(__unwrap_iter(__first),
                                  __unwrap_iter(__last),
                                  __unwrap_iter(__result));
}



template<class _InputIterator, class _OutputIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
copy_if(_InputIterator __first, _InputIterator __last,
        _OutputIterator __result, _Predicate __pred)
{
    for (; __first != __last; ++__first)
    {
        if (__pred(*__first))
        {
            *__result = *__first;
            ++__result;
        }
    }
    return __result;
}



template<class _InputIterator, class _Size, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    __is_input_iterator<_InputIterator>::value &&
   !__is_random_access_iterator<_InputIterator>::value,
    _OutputIterator
>::type
copy_n(_InputIterator __first, _Size __orig_n, _OutputIterator __result)
{
    typedef decltype(__convert_to_integral(__orig_n)) _IntegralSize;
    _IntegralSize __n = __orig_n;
    if (__n > 0)
    {
        *__result = *__first;
        ++__result;
        for (--__n; __n > 0; --__n)
        {
            ++__first;
            *__result = *__first;
            ++__result;
        }
    }
    return __result;
}

template<class _InputIterator, class _Size, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    __is_random_access_iterator<_InputIterator>::value,
    _OutputIterator
>::type
copy_n(_InputIterator __first, _Size __orig_n, _OutputIterator __result)
{
    typedef decltype(__convert_to_integral(__orig_n)) _IntegralSize;
    _IntegralSize __n = __orig_n;
    return std::__1::copy(__first, __first + __n, __result);
}



template <class _InputIterator, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
__move(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
{
    for (; __first != __last; ++__first, (void) ++__result)
        *__result = std::__1::move(*__first);
    return __result;
}

template <class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_same<typename remove_const<_Tp>::type, _Up>::value &&
    is_trivially_copy_assignable<_Up>::value,
    _Up*
>::type
__move(_Tp* __first, _Tp* __last, _Up* __result)
{
    const size_t __n = static_cast<size_t>(__last - __first);
    if (__n > 0)
        std::__1::memmove(__result, __first, __n * sizeof(_Up));
    return __result + __n;
}

template <class _InputIterator, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
move(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
{
    return std::__1::__move(__unwrap_iter(__first), __unwrap_iter(__last), __unwrap_iter(__result));
}



template <class _InputIterator, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
__move_backward(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
{
    while (__first != __last)
        *--__result = std::__1::move(*--__last);
    return __result;
}

template <class _Tp, class _Up>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
typename enable_if
<
    is_same<typename remove_const<_Tp>::type, _Up>::value &&
    is_trivially_copy_assignable<_Up>::value,
    _Up*
>::type
__move_backward(_Tp* __first, _Tp* __last, _Up* __result)
{
    const size_t __n = static_cast<size_t>(__last - __first);
    if (__n > 0)
    {
        __result -= __n;
        std::__1::memmove(__result, __first, __n * sizeof(_Up));
    }
    return __result;
}

template <class _BidirectionalIterator1, class _BidirectionalIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_BidirectionalIterator2
move_backward(_BidirectionalIterator1 __first, _BidirectionalIterator1 __last,
              _BidirectionalIterator2 __result)
{
    return std::__1::__move_backward(__unwrap_iter(__first), __unwrap_iter(__last), __unwrap_iter(__result));
}







template <class _InputIterator, class _OutputIterator, class _UnaryOperation>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
transform(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _UnaryOperation __op)
{
    for (; __first != __last; ++__first, (void) ++__result)
        *__result = __op(*__first);
    return __result;
}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator, class _BinaryOperation>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
transform(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2,
          _OutputIterator __result, _BinaryOperation __binary_op)
{
    for (; __first1 != __last1; ++__first1, (void) ++__first2, ++__result)
        *__result = __binary_op(*__first1, *__first2);
    return __result;
}



template <class _ForwardIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
replace(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __old_value, const _Tp& __new_value)
{
    for (; __first != __last; ++__first)
        if (*__first == __old_value)
            *__first = __new_value;
}



template <class _ForwardIterator, class _Predicate, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
replace_if(_ForwardIterator __first, _ForwardIterator __last, _Predicate __pred, const _Tp& __new_value)
{
    for (; __first != __last; ++__first)
        if (__pred(*__first))
            *__first = __new_value;
}



template <class _InputIterator, class _OutputIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
replace_copy(_InputIterator __first, _InputIterator __last, _OutputIterator __result,
             const _Tp& __old_value, const _Tp& __new_value)
{
    for (; __first != __last; ++__first, (void) ++__result)
        if (*__first == __old_value)
            *__result = __new_value;
        else
            *__result = *__first;
    return __result;
}



template <class _InputIterator, class _OutputIterator, class _Predicate, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
replace_copy_if(_InputIterator __first, _InputIterator __last, _OutputIterator __result,
                _Predicate __pred, const _Tp& __new_value)
{
    for (; __first != __last; ++__first, (void) ++__result)
        if (__pred(*__first))
            *__result = __new_value;
        else
            *__result = *__first;
    return __result;
}



template <class _OutputIterator, class _Size, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
__fill_n(_OutputIterator __first, _Size __n, const _Tp& __value_)
{
    for (; __n > 0; ++__first, (void) --__n)
        *__first = __value_;
    return __first;
}

template <class _OutputIterator, class _Size, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
fill_n(_OutputIterator __first, _Size __n, const _Tp& __value_)
{
   return std::__1::__fill_n(__first, __convert_to_integral(__n), __value_);
}



template <class _ForwardIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
__fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_, forward_iterator_tag)
{
    for (; __first != __last; ++__first)
        *__first = __value_;
}

template <class _RandomAccessIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
__fill(_RandomAccessIterator __first, _RandomAccessIterator __last, const _Tp& __value_, random_access_iterator_tag)
{
    std::__1::fill_n(__first, __last - __first, __value_);
}

template <class _ForwardIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_)
{
    std::__1::__fill(__first, __last, __value_, typename iterator_traits<_ForwardIterator>::iterator_category());
}



template <class _ForwardIterator, class _Generator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
generate(_ForwardIterator __first, _ForwardIterator __last, _Generator __gen)
{
    for (; __first != __last; ++__first)
        *__first = __gen();
}



template <class _OutputIterator, class _Size, class _Generator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
generate_n(_OutputIterator __first, _Size __orig_n, _Generator __gen)
{
    typedef decltype(__convert_to_integral(__orig_n)) _IntegralSize;
    _IntegralSize __n = __orig_n;
    for (; __n > 0; ++__first, (void) --__n)
        *__first = __gen();
    return __first;
}



template <class _ForwardIterator, class _Tp>
                              _ForwardIterator
remove(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_)
{
    __first = std::__1::find(__first, __last, __value_);
    if (__first != __last)
    {
        _ForwardIterator __i = __first;
        while (++__i != __last)
        {
            if (!(*__i == __value_))
            {
                *__first = std::__1::move(*__i);
                ++__first;
            }
        }
    }
    return __first;
}



template <class _ForwardIterator, class _Predicate>
                              _ForwardIterator
remove_if(_ForwardIterator __first, _ForwardIterator __last, _Predicate __pred)
{
    __first = std::__1::find_if<_ForwardIterator, typename add_lvalue_reference<_Predicate>::type>
                           (__first, __last, __pred);
    if (__first != __last)
    {
        _ForwardIterator __i = __first;
        while (++__i != __last)
        {
            if (!__pred(*__i))
            {
                *__first = std::__1::move(*__i);
                ++__first;
            }
        }
    }
    return __first;
}



template <class _InputIterator, class _OutputIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
remove_copy(_InputIterator __first, _InputIterator __last, _OutputIterator __result, const _Tp& __value_)
{
    for (; __first != __last; ++__first)
    {
        if (!(*__first == __value_))
        {
            *__result = *__first;
            ++__result;
        }
    }
    return __result;
}



template <class _InputIterator, class _OutputIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
remove_copy_if(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _Predicate __pred)
{
    for (; __first != __last; ++__first)
    {
        if (!__pred(*__first))
        {
            *__result = *__first;
            ++__result;
        }
    }
    return __result;
}



template <class _ForwardIterator, class _BinaryPredicate>
                              _ForwardIterator
unique(_ForwardIterator __first, _ForwardIterator __last, _BinaryPredicate __pred)
{
    __first = std::__1::adjacent_find<_ForwardIterator, typename add_lvalue_reference<_BinaryPredicate>::type>
                                 (__first, __last, __pred);
    if (__first != __last)
    {


        _ForwardIterator __i = __first;
        for (++__i; ++__i != __last;)
            if (!__pred(*__first, *__i))
                *++__first = std::__1::move(*__i);
        ++__first;
    }
    return __first;
}

template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
unique(_ForwardIterator __first, _ForwardIterator __last)
{
    typedef typename iterator_traits<_ForwardIterator>::value_type __v;
    return std::__1::unique(__first, __last, __equal_to<__v>());
}



template <class _BinaryPredicate, class _InputIterator, class _OutputIterator>
                              _OutputIterator
__unique_copy(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryPredicate __pred,
              input_iterator_tag, output_iterator_tag)
{
    if (__first != __last)
    {
        typename iterator_traits<_InputIterator>::value_type __t(*__first);
        *__result = __t;
        ++__result;
        while (++__first != __last)
        {
            if (!__pred(__t, *__first))
            {
                __t = *__first;
                *__result = __t;
                ++__result;
            }
        }
    }
    return __result;
}

template <class _BinaryPredicate, class _ForwardIterator, class _OutputIterator>
                              _OutputIterator
__unique_copy(_ForwardIterator __first, _ForwardIterator __last, _OutputIterator __result, _BinaryPredicate __pred,
              forward_iterator_tag, output_iterator_tag)
{
    if (__first != __last)
    {
        _ForwardIterator __i = __first;
        *__result = *__i;
        ++__result;
        while (++__first != __last)
        {
            if (!__pred(*__i, *__first))
            {
                *__result = *__first;
                ++__result;
                __i = __first;
            }
        }
    }
    return __result;
}

template <class _BinaryPredicate, class _InputIterator, class _ForwardIterator>
                              _ForwardIterator
__unique_copy(_InputIterator __first, _InputIterator __last, _ForwardIterator __result, _BinaryPredicate __pred,
              input_iterator_tag, forward_iterator_tag)
{
    if (__first != __last)
    {
        *__result = *__first;
        while (++__first != __last)
            if (!__pred(*__result, *__first))
                *++__result = *__first;
        ++__result;
    }
    return __result;
}

template <class _InputIterator, class _OutputIterator, class _BinaryPredicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
unique_copy(_InputIterator __first, _InputIterator __last, _OutputIterator __result, _BinaryPredicate __pred)
{
    return std::__1::__unique_copy<typename add_lvalue_reference<_BinaryPredicate>::type>
                              (__first, __last, __result, __pred,
                               typename iterator_traits<_InputIterator>::iterator_category(),
                               typename iterator_traits<_OutputIterator>::iterator_category());
}

template <class _InputIterator, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
unique_copy(_InputIterator __first, _InputIterator __last, _OutputIterator __result)
{
    typedef typename iterator_traits<_InputIterator>::value_type __v;
    return std::__1::unique_copy(__first, __last, __result, __equal_to<__v>());
}



template <class _BidirectionalIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
__reverse(_BidirectionalIterator __first, _BidirectionalIterator __last, bidirectional_iterator_tag)
{
    while (__first != __last)
    {
        if (__first == --__last)
            break;
        std::__1::iter_swap(__first, __last);
        ++__first;
    }
}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
__reverse(_RandomAccessIterator __first, _RandomAccessIterator __last, random_access_iterator_tag)
{
    if (__first != __last)
        for (; __first < --__last; ++__first)
            std::__1::iter_swap(__first, __last);
}

template <class _BidirectionalIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
reverse(_BidirectionalIterator __first, _BidirectionalIterator __last)
{
    std::__1::__reverse(__first, __last, typename iterator_traits<_BidirectionalIterator>::iterator_category());
}



template <class _BidirectionalIterator, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
reverse_copy(_BidirectionalIterator __first, _BidirectionalIterator __last, _OutputIterator __result)
{
    for (; __first != __last; ++__result)
        *__result = *--__last;
    return __result;
}



template <class _ForwardIterator>
_ForwardIterator
__rotate_left(_ForwardIterator __first, _ForwardIterator __last)
{
    typedef typename iterator_traits<_ForwardIterator>::value_type value_type;
    value_type __tmp = std::__1::move(*__first);
    _ForwardIterator __lm1 = std::__1::move(std::__1::next(__first), __last, __first);
    *__lm1 = std::__1::move(__tmp);
    return __lm1;
}

template <class _BidirectionalIterator>
_BidirectionalIterator
__rotate_right(_BidirectionalIterator __first, _BidirectionalIterator __last)
{
    typedef typename iterator_traits<_BidirectionalIterator>::value_type value_type;
    _BidirectionalIterator __lm1 = std::__1::prev(__last);
    value_type __tmp = std::__1::move(*__lm1);
    _BidirectionalIterator __fp1 = std::__1::move_backward(__first, __lm1, __last);
    *__first = std::__1::move(__tmp);
    return __fp1;
}

template <class _ForwardIterator>
_ForwardIterator
__rotate_forward(_ForwardIterator __first, _ForwardIterator __middle, _ForwardIterator __last)
{
    _ForwardIterator __i = __middle;
    while (true)
    {
        swap(*__first, *__i);
        ++__first;
        if (++__i == __last)
            break;
        if (__first == __middle)
            __middle = __i;
    }
    _ForwardIterator __r = __first;
    if (__first != __middle)
    {
        __i = __middle;
        while (true)
        {
            swap(*__first, *__i);
            ++__first;
            if (++__i == __last)
            {
                if (__first == __middle)
                    break;
                __i = __middle;
            }
            else if (__first == __middle)
                __middle = __i;
        }
    }
    return __r;
}

template<typename _Integral>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_Integral
__algo_gcd(_Integral __x, _Integral __y)
{
    do
    {
        _Integral __t = __x % __y;
        __x = __y;
        __y = __t;
    } while (__y);
    return __x;
}

template<typename _RandomAccessIterator>
_RandomAccessIterator
__rotate_gcd(_RandomAccessIterator __first, _RandomAccessIterator __middle, _RandomAccessIterator __last)
{
    typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;

    const difference_type __m1 = __middle - __first;
    const difference_type __m2 = __last - __middle;
    if (__m1 == __m2)
    {
        std::__1::swap_ranges(__first, __middle, __middle);
        return __middle;
    }
    const difference_type __g = std::__1::__algo_gcd(__m1, __m2);
    for (_RandomAccessIterator __p = __first + __g; __p != __first;)
    {
        value_type __t(std::__1::move(*--__p));
        _RandomAccessIterator __p1 = __p;
        _RandomAccessIterator __p2 = __p1 + __m1;
        do
        {
            *__p1 = std::__1::move(*__p2);
            __p1 = __p2;
            const difference_type __d = __last - __p2;
            if (__m1 < __d)
                __p2 += __m1;
            else
                __p2 = __first + (__m1 - __d);
        } while (__p2 != __p);
        *__p1 = std::__1::move(__t);
    }
    return __first + __m2;
}

template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
__rotate(_ForwardIterator __first, _ForwardIterator __middle, _ForwardIterator __last,
         std::__1::forward_iterator_tag)
{
    typedef typename std::__1::iterator_traits<_ForwardIterator>::value_type value_type;
    if (std::__1::is_trivially_move_assignable<value_type>::value)
    {
        if (std::__1::next(__first) == __middle)
            return std::__1::__rotate_left(__first, __last);
    }
    return std::__1::__rotate_forward(__first, __middle, __last);
}

template <class _BidirectionalIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_BidirectionalIterator
__rotate(_BidirectionalIterator __first, _BidirectionalIterator __middle, _BidirectionalIterator __last,
         std::__1::bidirectional_iterator_tag)
{
    typedef typename std::__1::iterator_traits<_BidirectionalIterator>::value_type value_type;
    if (std::__1::is_trivially_move_assignable<value_type>::value)
    {
        if (std::__1::next(__first) == __middle)
            return std::__1::__rotate_left(__first, __last);
        if (std::__1::next(__middle) == __last)
            return std::__1::__rotate_right(__first, __last);
    }
    return std::__1::__rotate_forward(__first, __middle, __last);
}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_RandomAccessIterator
__rotate(_RandomAccessIterator __first, _RandomAccessIterator __middle, _RandomAccessIterator __last,
         std::__1::random_access_iterator_tag)
{
    typedef typename std::__1::iterator_traits<_RandomAccessIterator>::value_type value_type;
    if (std::__1::is_trivially_move_assignable<value_type>::value)
    {
        if (std::__1::next(__first) == __middle)
            return std::__1::__rotate_left(__first, __last);
        if (std::__1::next(__middle) == __last)
            return std::__1::__rotate_right(__first, __last);
        return std::__1::__rotate_gcd(__first, __middle, __last);
    }
    return std::__1::__rotate_forward(__first, __middle, __last);
}

template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
rotate(_ForwardIterator __first, _ForwardIterator __middle, _ForwardIterator __last)
{
    if (__first == __middle)
        return __last;
    if (__middle == __last)
        return __first;
    return std::__1::__rotate(__first, __middle, __last,
                           typename std::__1::iterator_traits<_ForwardIterator>::iterator_category());
}



template <class _ForwardIterator, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
rotate_copy(_ForwardIterator __first, _ForwardIterator __middle, _ForwardIterator __last, _OutputIterator __result)
{
    return std::__1::copy(__first, __middle, std::__1::copy(__middle, __last, __result));
}



template <class _ForwardIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_ForwardIterator
min_element(_ForwardIterator __first, _ForwardIterator __last, _Compare __comp)
{
    static_assert(__is_forward_iterator<_ForwardIterator>::value,
        "std::min_element requires a ForwardIterator");
    if (__first != __last)
    {
        _ForwardIterator __i = __first;
        while (++__i != __last)
            if (__comp(*__i, *__first))
                __first = __i;
    }
    return __first;
}

template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_ForwardIterator
min_element(_ForwardIterator __first, _ForwardIterator __last)
{
    return std::__1::min_element(__first, __last,
              __less<typename iterator_traits<_ForwardIterator>::value_type>());
}



template <class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const _Tp&
min(const _Tp& __a, const _Tp& __b, _Compare __comp)
{
    return __comp(__b, __a) ? __b : __a;
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const _Tp&
min(const _Tp& __a, const _Tp& __b)
{
    return std::__1::min(__a, __b, __less<_Tp>());
}



template<class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp
min(initializer_list<_Tp> __t, _Compare __comp)
{
    return *std::__1::min_element(__t.begin(), __t.end(), __comp);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp
min(initializer_list<_Tp> __t)
{
    return *std::__1::min_element(__t.begin(), __t.end(), __less<_Tp>());
}





template <class _ForwardIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_ForwardIterator
max_element(_ForwardIterator __first, _ForwardIterator __last, _Compare __comp)
{
    static_assert(__is_forward_iterator<_ForwardIterator>::value,
        "std::max_element requires a ForwardIterator");
    if (__first != __last)
    {
        _ForwardIterator __i = __first;
        while (++__i != __last)
            if (__comp(*__first, *__i))
                __first = __i;
    }
    return __first;
}


template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_ForwardIterator
max_element(_ForwardIterator __first, _ForwardIterator __last)
{
    return std::__1::max_element(__first, __last,
              __less<typename iterator_traits<_ForwardIterator>::value_type>());
}



template <class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const _Tp&
max(const _Tp& __a, const _Tp& __b, _Compare __comp)
{
    return __comp(__a, __b) ? __b : __a;
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const _Tp&
max(const _Tp& __a, const _Tp& __b)
{
    return std::__1::max(__a, __b, __less<_Tp>());
}



template<class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp
max(initializer_list<_Tp> __t, _Compare __comp)
{
    return *std::__1::max_element(__t.begin(), __t.end(), __comp);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
_Tp
max(initializer_list<_Tp> __t)
{
    return *std::__1::max_element(__t.begin(), __t.end(), __less<_Tp>());
}





template<class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const _Tp&
clamp(const _Tp& __v, const _Tp& __lo, const _Tp& __hi, _Compare __comp)
{
    ((void)0);
    return __comp(__v, __lo) ? __lo : __comp(__hi, __v) ? __hi : __v;

}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
const _Tp&
clamp(const _Tp& __v, const _Tp& __lo, const _Tp& __hi)
{
    return std::__1::clamp(__v, __lo, __hi, __less<_Tp>());
}




template <class _ForwardIterator, class _Compare>
constexpr
std::pair<_ForwardIterator, _ForwardIterator>
minmax_element(_ForwardIterator __first, _ForwardIterator __last, _Compare __comp)
{
  static_assert(__is_forward_iterator<_ForwardIterator>::value,
        "std::minmax_element requires a ForwardIterator");
  std::pair<_ForwardIterator, _ForwardIterator> __result(__first, __first);
  if (__first != __last)
  {
      if (++__first != __last)
      {
          if (__comp(*__first, *__result.first))
              __result.first = __first;
          else
              __result.second = __first;
          while (++__first != __last)
          {
              _ForwardIterator __i = __first;
              if (++__first == __last)
              {
                  if (__comp(*__i, *__result.first))
                      __result.first = __i;
                  else if (!__comp(*__i, *__result.second))
                      __result.second = __i;
                  break;
              }
              else
              {
                  if (__comp(*__first, *__i))
                  {
                      if (__comp(*__first, *__result.first))
                          __result.first = __first;
                      if (!__comp(*__i, *__result.second))
                          __result.second = __i;
                  }
                  else
                  {
                      if (__comp(*__i, *__result.first))
                          __result.first = __i;
                      if (!__comp(*__first, *__result.second))
                          __result.second = __first;
                  }
              }
          }
      }
  }
  return __result;
}

template <class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
std::pair<_ForwardIterator, _ForwardIterator>
minmax_element(_ForwardIterator __first, _ForwardIterator __last)
{
    return std::__1::minmax_element(__first, __last,
              __less<typename iterator_traits<_ForwardIterator>::value_type>());
}



template<class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
pair<const _Tp&, const _Tp&>
minmax(const _Tp& __a, const _Tp& __b, _Compare __comp)
{
    return __comp(__b, __a) ? pair<const _Tp&, const _Tp&>(__b, __a) :
                              pair<const _Tp&, const _Tp&>(__a, __b);
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
pair<const _Tp&, const _Tp&>
minmax(const _Tp& __a, const _Tp& __b)
{
    return std::__1::minmax(__a, __b, __less<_Tp>());
}



template<class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
pair<_Tp, _Tp>
minmax(initializer_list<_Tp> __t, _Compare __comp)
{
    typedef typename initializer_list<_Tp>::const_iterator _Iter;
    _Iter __first = __t.begin();
    _Iter __last = __t.end();
    std::pair<_Tp, _Tp> __result(*__first, *__first);

    ++__first;
    if (__t.size() % 2 == 0)
    {
        if (__comp(*__first, __result.first))
            __result.first = *__first;
        else
            __result.second = *__first;
        ++__first;
    }

    while (__first != __last)
    {
        _Tp __prev = *__first++;
        if (__comp(*__first, __prev)) {
            if ( __comp(*__first, __result.first)) __result.first = *__first;
            if (!__comp(__prev, __result.second)) __result.second = __prev;
            }
        else {
            if ( __comp(__prev, __result.first)) __result.first = __prev;
            if (!__comp(*__first, __result.second)) __result.second = *__first;
            }

        __first++;
    }
    return __result;
}

template<class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
pair<_Tp, _Tp>
minmax(initializer_list<_Tp> __t)
{
    return std::__1::minmax(__t, __less<_Tp>());
}







template <unsigned long long _Xp, size_t _Rp>
struct __log2_imp
{
    static const size_t value = _Xp & ((unsigned long long)(1) << _Rp) ? _Rp
                                           : __log2_imp<_Xp, _Rp - 1>::value;
};

template <unsigned long long _Xp>
struct __log2_imp<_Xp, 0>
{
    static const size_t value = 0;
};

template <size_t _Rp>
struct __log2_imp<0, _Rp>
{
    static const size_t value = _Rp + 1;
};

template <class _UIntType, _UIntType _Xp>
struct __log2
{
    static const size_t value = __log2_imp<_Xp,
                                         sizeof(_UIntType) * 8 - 1>::value;
};

template<class _Engine, class _UIntType>
class __independent_bits_engine
{
public:

    typedef _UIntType result_type;

private:
    typedef typename _Engine::result_type _Engine_result_type;
    typedef typename conditional
        <
            sizeof(_Engine_result_type) <= sizeof(result_type),
                result_type,
                _Engine_result_type
        >::type _Working_result_type;

    _Engine& __e_;
    size_t __w_;
    size_t __w0_;
    size_t __n_;
    size_t __n0_;
    _Working_result_type __y0_;
    _Working_result_type __y1_;
    _Engine_result_type __mask0_;
    _Engine_result_type __mask1_;





    static constexpr const _Working_result_type _Rp = _Engine::max() - _Engine::min()
                                                      + _Working_result_type(1);

    static constexpr const size_t __m = __log2<_Working_result_type, _Rp>::value;
    static constexpr const size_t _WDt = numeric_limits<_Working_result_type>::digits;
    static constexpr const size_t _EDt = numeric_limits<_Engine_result_type>::digits;

public:

    __independent_bits_engine(_Engine& __e, size_t __w);


    result_type operator()() {return __eval(integral_constant<bool, _Rp != 0>());}

private:
    result_type __eval(false_type);
    result_type __eval(true_type);
};

template<class _Engine, class _UIntType>
__independent_bits_engine<_Engine, _UIntType>
    ::__independent_bits_engine(_Engine& __e, size_t __w)
        : __e_(__e),
          __w_(__w)
{
    __n_ = __w_ / __m + (__w_ % __m != 0);
    __w0_ = __w_ / __n_;
    if (_Rp == 0)
        __y0_ = _Rp;
    else if (__w0_ < _WDt)
        __y0_ = (_Rp >> __w0_) << __w0_;
    else
        __y0_ = 0;
    if (_Rp - __y0_ > __y0_ / __n_)
    {
        ++__n_;
        __w0_ = __w_ / __n_;
        if (__w0_ < _WDt)
            __y0_ = (_Rp >> __w0_) << __w0_;
        else
            __y0_ = 0;
    }
    __n0_ = __n_ - __w_ % __n_;
    if (__w0_ < _WDt - 1)
        __y1_ = (_Rp >> (__w0_ + 1)) << (__w0_ + 1);
    else
        __y1_ = 0;
    __mask0_ = __w0_ > 0 ? _Engine_result_type(~0) >> (_EDt - __w0_) :
                          _Engine_result_type(0);
    __mask1_ = __w0_ < _EDt - 1 ?
                               _Engine_result_type(~0) >> (_EDt - (__w0_ + 1)) :
                               _Engine_result_type(~0);
}

template<class _Engine, class _UIntType>
inline
_UIntType
__independent_bits_engine<_Engine, _UIntType>::__eval(false_type)
{
    return static_cast<result_type>(__e_() & __mask0_);
}

template<class _Engine, class _UIntType>
_UIntType
__independent_bits_engine<_Engine, _UIntType>::__eval(true_type)
{
    const size_t _WRt = numeric_limits<result_type>::digits;
    result_type _Sp = 0;
    for (size_t __k = 0; __k < __n0_; ++__k)
    {
        _Engine_result_type __u;
        do
        {
            __u = __e_() - _Engine::min();
        } while (__u >= __y0_);
        if (__w0_ < _WRt)
            _Sp <<= __w0_;
        else
            _Sp = 0;
        _Sp += __u & __mask0_;
    }
    for (size_t __k = __n0_; __k < __n_; ++__k)
    {
        _Engine_result_type __u;
        do
        {
            __u = __e_() - _Engine::min();
        } while (__u >= __y1_);
        if (__w0_ < _WRt - 1)
            _Sp <<= __w0_ + 1;
        else
            _Sp = 0;
        _Sp += __u & __mask1_;
    }
    return _Sp;
}



template<class _IntType = int>
class uniform_int_distribution
{
public:

    typedef _IntType result_type;

    class param_type
    {
        result_type __a_;
        result_type __b_;
    public:
        typedef uniform_int_distribution distribution_type;

        explicit param_type(result_type __a = 0,
                            result_type __b = numeric_limits<result_type>::max())
            : __a_(__a), __b_(__b) {}

        result_type a() const {return __a_;}
        result_type b() const {return __b_;}

        friend bool operator==(const param_type& __x, const param_type& __y)
            {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;}
        friend bool operator!=(const param_type& __x, const param_type& __y)
            {return !(__x == __y);}
    };

private:
    param_type __p_;

public:

    explicit uniform_int_distribution(result_type __a = 0,
                                      result_type __b = numeric_limits<result_type>::max())
        : __p_(param_type(__a, __b)) {}
    explicit uniform_int_distribution(const param_type& __p) : __p_(__p) {}
    void reset() {}


    template<class _URNG> result_type operator()(_URNG& __g)
        {return (*this)(__g, __p_);}
    template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);


    result_type a() const {return __p_.a();}
    result_type b() const {return __p_.b();}

    param_type param() const {return __p_;}
    void param(const param_type& __p) {__p_ = __p;}

    result_type min() const {return a();}
    result_type max() const {return b();}

    friend bool operator==(const uniform_int_distribution& __x,
                           const uniform_int_distribution& __y)
        {return __x.__p_ == __y.__p_;}
    friend bool operator!=(const uniform_int_distribution& __x,
                           const uniform_int_distribution& __y)
            {return !(__x == __y);}
};

template<class _IntType>
template<class _URNG>
typename uniform_int_distribution<_IntType>::result_type
uniform_int_distribution<_IntType>::operator()(_URNG& __g, const param_type& __p)
__attribute__((__no_sanitize__("unsigned-integer-overflow")))
{
    typedef typename conditional<sizeof(result_type) <= sizeof(uint32_t),
                                            uint32_t, uint64_t>::type _UIntType;
    const _UIntType _Rp = _UIntType(__p.b()) - _UIntType(__p.a()) + _UIntType(1);
    if (_Rp == 1)
        return __p.a();
    const size_t _Dt = numeric_limits<_UIntType>::digits;
    typedef __independent_bits_engine<_URNG, _UIntType> _Eng;
    if (_Rp == 0)
        return static_cast<result_type>(_Eng(__g, _Dt)());
    size_t __w = _Dt - __clz(_Rp) - 1;
    if ((_Rp & (std::numeric_limits<_UIntType>::max() >> (_Dt - __w))) != 0)
        ++__w;
    _Eng __e(__g, __w);
    _UIntType __u;
    do
    {
        __u = __e();
    } while (__u >= _Rp);
    return static_cast<result_type>(__u + __p.a());
}
# 3025 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 3
template <class _PopulationIterator, class _SampleIterator, class _Distance,
          class _UniformRandomNumberGenerator>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_SampleIterator __sample(_PopulationIterator __first,
                         _PopulationIterator __last, _SampleIterator __output_iter,
                         _Distance __n,
                         _UniformRandomNumberGenerator & __g,
                         input_iterator_tag) {

  _Distance __k = 0;
  for (; __first != __last && __k < __n; ++__first, (void)++__k)
    __output_iter[__k] = *__first;
  _Distance __sz = __k;
  for (; __first != __last; ++__first, (void)++__k) {
    _Distance __r = std::__1::uniform_int_distribution<_Distance>(0, __k)(__g);
    if (__r < __sz)
      __output_iter[__r] = *__first;
  }
  return __output_iter + std::__1::min(__n, __k);
}

template <class _PopulationIterator, class _SampleIterator, class _Distance,
          class _UniformRandomNumberGenerator>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_SampleIterator __sample(_PopulationIterator __first,
                         _PopulationIterator __last, _SampleIterator __output_iter,
                         _Distance __n,
                         _UniformRandomNumberGenerator& __g,
                         forward_iterator_tag) {
  _Distance __unsampled_sz = std::__1::distance(__first, __last);
  for (__n = std::__1::min(__n, __unsampled_sz); __n != 0; ++__first) {
    _Distance __r =
        std::__1::uniform_int_distribution<_Distance>(0, --__unsampled_sz)(__g);
    if (__r < __n) {
      *__output_iter++ = *__first;
      --__n;
    }
  }
  return __output_iter;
}

template <class _PopulationIterator, class _SampleIterator, class _Distance,
          class _UniformRandomNumberGenerator>
__attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_SampleIterator __sample(_PopulationIterator __first,
                         _PopulationIterator __last, _SampleIterator __output_iter,
                         _Distance __n, _UniformRandomNumberGenerator& __g) {
  typedef typename iterator_traits<_PopulationIterator>::iterator_category
        _PopCategory;
  typedef typename iterator_traits<_PopulationIterator>::difference_type
        _Difference;
  static_assert(__is_forward_iterator<_PopulationIterator>::value ||
                __is_random_access_iterator<_SampleIterator>::value,
                "SampleIterator must meet the requirements of RandomAccessIterator");
  typedef typename common_type<_Distance, _Difference>::type _CommonType;
  ((void)0);
  return std::__1::__sample(
      __first, __last, __output_iter, _CommonType(__n),
      __g, _PopCategory());
}


template <class _PopulationIterator, class _SampleIterator, class _Distance,
          class _UniformRandomNumberGenerator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_SampleIterator sample(_PopulationIterator __first,
                       _PopulationIterator __last, _SampleIterator __output_iter,
                       _Distance __n, _UniformRandomNumberGenerator&& __g) {
    return std::__1::__sample(__first, __last, __output_iter, __n, __g);
}


template<class _RandomAccessIterator, class _UniformRandomNumberGenerator>
    void shuffle(_RandomAccessIterator __first, _RandomAccessIterator __last,

                 _UniformRandomNumberGenerator&& __g)



{
    typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    typedef uniform_int_distribution<ptrdiff_t> _Dp;
    typedef typename _Dp::param_type _Pp;
    difference_type __d = __last - __first;
    if (__d > 1)
    {
        _Dp __uid;
        for (--__last, --__d; __first < __last; ++__first, --__d)
        {
            difference_type __i = __uid(__g, _Pp(0, __d));
            if (__i != difference_type(0))
                swap(*__first, *(__first + __i));
        }
    }
}

template <class _InputIterator, class _Predicate>
                              bool
is_partitioned(_InputIterator __first, _InputIterator __last, _Predicate __pred)
{
    for (; __first != __last; ++__first)
        if (!__pred(*__first))
            break;
    if ( __first == __last )
        return true;
    ++__first;
    for (; __first != __last; ++__first)
        if (__pred(*__first))
            return false;
    return true;
}



template <class _Predicate, class _ForwardIterator>
_ForwardIterator
__partition(_ForwardIterator __first, _ForwardIterator __last, _Predicate __pred, forward_iterator_tag)
{
    while (true)
    {
        if (__first == __last)
            return __first;
        if (!__pred(*__first))
            break;
        ++__first;
    }
    for (_ForwardIterator __p = __first; ++__p != __last;)
    {
        if (__pred(*__p))
        {
            swap(*__first, *__p);
            ++__first;
        }
    }
    return __first;
}

template <class _Predicate, class _BidirectionalIterator>
_BidirectionalIterator
__partition(_BidirectionalIterator __first, _BidirectionalIterator __last, _Predicate __pred,
            bidirectional_iterator_tag)
{
    while (true)
    {
        while (true)
        {
            if (__first == __last)
                return __first;
            if (!__pred(*__first))
                break;
            ++__first;
        }
        do
        {
            if (__first == --__last)
                return __first;
        } while (!__pred(*__last));
        swap(*__first, *__last);
        ++__first;
    }
}

template <class _ForwardIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
partition(_ForwardIterator __first, _ForwardIterator __last, _Predicate __pred)
{
    return std::__1::__partition<typename add_lvalue_reference<_Predicate>::type>
                            (__first, __last, __pred, typename iterator_traits<_ForwardIterator>::iterator_category());
}



template <class _InputIterator, class _OutputIterator1,
          class _OutputIterator2, class _Predicate>
                              pair<_OutputIterator1, _OutputIterator2>
partition_copy(_InputIterator __first, _InputIterator __last,
               _OutputIterator1 __out_true, _OutputIterator2 __out_false,
               _Predicate __pred)
{
    for (; __first != __last; ++__first)
    {
        if (__pred(*__first))
        {
            *__out_true = *__first;
            ++__out_true;
        }
        else
        {
            *__out_false = *__first;
            ++__out_false;
        }
    }
    return pair<_OutputIterator1, _OutputIterator2>(__out_true, __out_false);
}



template<class _ForwardIterator, class _Predicate>
                              _ForwardIterator
partition_point(_ForwardIterator __first, _ForwardIterator __last, _Predicate __pred)
{
    typedef typename iterator_traits<_ForwardIterator>::difference_type difference_type;
    difference_type __len = std::__1::distance(__first, __last);
    while (__len != 0)
    {
        difference_type __l2 = std::__1::__half_positive(__len);
        _ForwardIterator __m = __first;
        std::__1::advance(__m, __l2);
        if (__pred(*__m))
        {
            __first = ++__m;
            __len -= __l2 + 1;
        }
        else
            __len = __l2;
    }
    return __first;
}



template <class _Predicate, class _ForwardIterator, class _Distance, class _Pair>
_ForwardIterator
__stable_partition(_ForwardIterator __first, _ForwardIterator __last, _Predicate __pred,
                   _Distance __len, _Pair __p, forward_iterator_tag __fit)
{


    if (__len == 1)
        return __first;
    if (__len == 2)
    {
        _ForwardIterator __m = __first;
        if (__pred(*++__m))
        {
            swap(*__first, *__m);
            return __m;
        }
        return __first;
    }
    if (__len <= __p.second)
    {
        typedef typename iterator_traits<_ForwardIterator>::value_type value_type;
        __destruct_n __d(0);
        unique_ptr<value_type, __destruct_n&> __h(__p.first, __d);


        value_type* __t = __p.first;
        ::new(__t) value_type(std::__1::move(*__first));
        __d.__incr((value_type*)0);
        ++__t;
        _ForwardIterator __i = __first;
        while (++__i != __last)
        {
            if (__pred(*__i))
            {
                *__first = std::__1::move(*__i);
                ++__first;
            }
            else
            {
                ::new(__t) value_type(std::__1::move(*__i));
                __d.__incr((value_type*)0);
                ++__t;
            }
        }


        __i = __first;
        for (value_type* __t2 = __p.first; __t2 < __t; ++__t2, ++__i)
            *__i = std::__1::move(*__t2);

        return __first;
    }


    _ForwardIterator __m = __first;
    _Distance __len2 = __len / 2;
    std::__1::advance(__m, __len2);



    typedef typename add_lvalue_reference<_Predicate>::type _PredRef;
    _ForwardIterator __first_false = __stable_partition<_PredRef>(__first, __m, __pred, __len2, __p, __fit);



    _ForwardIterator __m1 = __m;
    _ForwardIterator __second_false = __last;
    _Distance __len_half = __len - __len2;
    while (__pred(*__m1))
    {
        if (++__m1 == __last)
            goto __second_half_done;
        --__len_half;
    }


    __second_false = __stable_partition<_PredRef>(__m1, __last, __pred, __len_half, __p, __fit);
__second_half_done:


    return std::__1::rotate(__first_false, __m, __second_false);


}

struct __return_temporary_buffer
{
    template <class _Tp>
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) void operator()(_Tp* __p) const {std::__1::return_temporary_buffer(__p);}
};

template <class _Predicate, class _ForwardIterator>
_ForwardIterator
__stable_partition(_ForwardIterator __first, _ForwardIterator __last, _Predicate __pred,
                   forward_iterator_tag)
{
    const unsigned __alloc_limit = 3;

    while (true)
    {
        if (__first == __last)
            return __first;
        if (!__pred(*__first))
            break;
        ++__first;
    }


    typedef typename iterator_traits<_ForwardIterator>::difference_type difference_type;
    typedef typename iterator_traits<_ForwardIterator>::value_type value_type;
    difference_type __len = std::__1::distance(__first, __last);
    pair<value_type*, ptrdiff_t> __p(0, 0);
    unique_ptr<value_type, __return_temporary_buffer> __h;
    if (__len >= __alloc_limit)
    {
        __p = std::__1::get_temporary_buffer<value_type>(__len);
        __h.reset(__p.first);
    }
    return __stable_partition<typename add_lvalue_reference<_Predicate>::type>
                             (__first, __last, __pred, __len, __p, forward_iterator_tag());
}

template <class _Predicate, class _BidirectionalIterator, class _Distance, class _Pair>
_BidirectionalIterator
__stable_partition(_BidirectionalIterator __first, _BidirectionalIterator __last, _Predicate __pred,
                   _Distance __len, _Pair __p, bidirectional_iterator_tag __bit)
{



    if (__len == 2)
    {
        swap(*__first, *__last);
        return __last;
    }
    if (__len == 3)
    {
        _BidirectionalIterator __m = __first;
        if (__pred(*++__m))
        {
            swap(*__first, *__m);
            swap(*__m, *__last);
            return __last;
        }
        swap(*__m, *__last);
        swap(*__first, *__m);
        return __m;
    }
    if (__len <= __p.second)
    {
        typedef typename iterator_traits<_BidirectionalIterator>::value_type value_type;
        __destruct_n __d(0);
        unique_ptr<value_type, __destruct_n&> __h(__p.first, __d);


        value_type* __t = __p.first;
        ::new(__t) value_type(std::__1::move(*__first));
        __d.__incr((value_type*)0);
        ++__t;
        _BidirectionalIterator __i = __first;
        while (++__i != __last)
        {
            if (__pred(*__i))
            {
                *__first = std::__1::move(*__i);
                ++__first;
            }
            else
            {
                ::new(__t) value_type(std::__1::move(*__i));
                __d.__incr((value_type*)0);
                ++__t;
            }
        }

        *__first = std::__1::move(*__i);
        __i = ++__first;


        for (value_type* __t2 = __p.first; __t2 < __t; ++__t2, ++__i)
            *__i = std::__1::move(*__t2);

        return __first;
    }


    _BidirectionalIterator __m = __first;
    _Distance __len2 = __len / 2;
    std::__1::advance(__m, __len2);



    _BidirectionalIterator __m1 = __m;
    _BidirectionalIterator __first_false = __first;
    _Distance __len_half = __len2;
    while (!__pred(*--__m1))
    {
        if (__m1 == __first)
            goto __first_half_done;
        --__len_half;
    }


    typedef typename add_lvalue_reference<_Predicate>::type _PredRef;
    __first_false = __stable_partition<_PredRef>(__first, __m1, __pred, __len_half, __p, __bit);
__first_half_done:



    __m1 = __m;
    _BidirectionalIterator __second_false = __last;
    ++__second_false;
    __len_half = __len - __len2;
    while (__pred(*__m1))
    {
        if (++__m1 == __last)
            goto __second_half_done;
        --__len_half;
    }


    __second_false = __stable_partition<_PredRef>(__m1, __last, __pred, __len_half, __p, __bit);
__second_half_done:


    return std::__1::rotate(__first_false, __m, __second_false);


}

template <class _Predicate, class _BidirectionalIterator>
_BidirectionalIterator
__stable_partition(_BidirectionalIterator __first, _BidirectionalIterator __last, _Predicate __pred,
                   bidirectional_iterator_tag)
{
    typedef typename iterator_traits<_BidirectionalIterator>::difference_type difference_type;
    typedef typename iterator_traits<_BidirectionalIterator>::value_type value_type;
    const difference_type __alloc_limit = 4;

    while (true)
    {
        if (__first == __last)
            return __first;
        if (!__pred(*__first))
            break;
        ++__first;
    }


    do
    {
        if (__first == --__last)
            return __first;
    } while (!__pred(*__last));




    difference_type __len = std::__1::distance(__first, __last) + 1;
    pair<value_type*, ptrdiff_t> __p(0, 0);
    unique_ptr<value_type, __return_temporary_buffer> __h;
    if (__len >= __alloc_limit)
    {
        __p = std::__1::get_temporary_buffer<value_type>(__len);
        __h.reset(__p.first);
    }
    return __stable_partition<typename add_lvalue_reference<_Predicate>::type>
                             (__first, __last, __pred, __len, __p, bidirectional_iterator_tag());
}

template <class _ForwardIterator, class _Predicate>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
stable_partition(_ForwardIterator __first, _ForwardIterator __last, _Predicate __pred)
{
    return __stable_partition<typename add_lvalue_reference<_Predicate>::type>
                             (__first, __last, __pred, typename iterator_traits<_ForwardIterator>::iterator_category());
}



template <class _ForwardIterator, class _Compare>
                              _ForwardIterator
is_sorted_until(_ForwardIterator __first, _ForwardIterator __last, _Compare __comp)
{
    if (__first != __last)
    {
        _ForwardIterator __i = __first;
        while (++__i != __last)
        {
            if (__comp(*__i, *__first))
                return __i;
            __first = __i;
        }
    }
    return __last;
}

template<class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
is_sorted_until(_ForwardIterator __first, _ForwardIterator __last)
{
    return std::__1::is_sorted_until(__first, __last, __less<typename iterator_traits<_ForwardIterator>::value_type>());
}



template <class _ForwardIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
is_sorted(_ForwardIterator __first, _ForwardIterator __last, _Compare __comp)
{
    return std::__1::is_sorted_until(__first, __last, __comp) == __last;
}

template<class _ForwardIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
is_sorted(_ForwardIterator __first, _ForwardIterator __last)
{
    return std::__1::is_sorted(__first, __last, __less<typename iterator_traits<_ForwardIterator>::value_type>());
}





template <class _Compare, class _ForwardIterator>
unsigned
__sort3(_ForwardIterator __x, _ForwardIterator __y, _ForwardIterator __z, _Compare __c)
{
    unsigned __r = 0;
    if (!__c(*__y, *__x))
    {
        if (!__c(*__z, *__y))
            return __r;

        swap(*__y, *__z);
        __r = 1;
        if (__c(*__y, *__x))
        {
            swap(*__x, *__y);
            __r = 2;
        }
        return __r;
    }
    if (__c(*__z, *__y))
    {
        swap(*__x, *__z);
        __r = 1;
        return __r;
    }
    swap(*__x, *__y);
    __r = 1;
    if (__c(*__z, *__y))
    {
        swap(*__y, *__z);
        __r = 2;
    }
    return __r;
}



template <class _Compare, class _ForwardIterator>
unsigned
__sort4(_ForwardIterator __x1, _ForwardIterator __x2, _ForwardIterator __x3,
            _ForwardIterator __x4, _Compare __c)
{
    unsigned __r = __sort3<_Compare>(__x1, __x2, __x3, __c);
    if (__c(*__x4, *__x3))
    {
        swap(*__x3, *__x4);
        ++__r;
        if (__c(*__x3, *__x2))
        {
            swap(*__x2, *__x3);
            ++__r;
            if (__c(*__x2, *__x1))
            {
                swap(*__x1, *__x2);
                ++__r;
            }
        }
    }
    return __r;
}



template <class _Compare, class _ForwardIterator>
__attribute__ ((__visibility__("hidden")))
unsigned
__sort5(_ForwardIterator __x1, _ForwardIterator __x2, _ForwardIterator __x3,
            _ForwardIterator __x4, _ForwardIterator __x5, _Compare __c)
{
    unsigned __r = __sort4<_Compare>(__x1, __x2, __x3, __x4, __c);
    if (__c(*__x5, *__x4))
    {
        swap(*__x4, *__x5);
        ++__r;
        if (__c(*__x4, *__x3))
        {
            swap(*__x3, *__x4);
            ++__r;
            if (__c(*__x3, *__x2))
            {
                swap(*__x2, *__x3);
                ++__r;
                if (__c(*__x2, *__x1))
                {
                    swap(*__x1, *__x2);
                    ++__r;
                }
            }
        }
    }
    return __r;
}


template <class _Compare, class _BirdirectionalIterator>
void
__selection_sort(_BirdirectionalIterator __first, _BirdirectionalIterator __last, _Compare __comp)
{
    _BirdirectionalIterator __lm1 = __last;
    for (--__lm1; __first != __lm1; ++__first)
    {
        _BirdirectionalIterator __i = std::__1::min_element<_BirdirectionalIterator,
                                                        typename add_lvalue_reference<_Compare>::type>
                                                       (__first, __last, __comp);
        if (__i != __first)
            swap(*__first, *__i);
    }
}

template <class _Compare, class _BirdirectionalIterator>
void
__insertion_sort(_BirdirectionalIterator __first, _BirdirectionalIterator __last, _Compare __comp)
{
    typedef typename iterator_traits<_BirdirectionalIterator>::value_type value_type;
    if (__first != __last)
    {
        _BirdirectionalIterator __i = __first;
        for (++__i; __i != __last; ++__i)
        {
            _BirdirectionalIterator __j = __i;
            value_type __t(std::__1::move(*__j));
            for (_BirdirectionalIterator __k = __i; __k != __first && __comp(__t, *--__k); --__j)
                *__j = std::__1::move(*__k);
            *__j = std::__1::move(__t);
        }
    }
}

template <class _Compare, class _RandomAccessIterator>
void
__insertion_sort_3(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{
    typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;
    _RandomAccessIterator __j = __first+2;
    __sort3<_Compare>(__first, __first+1, __j, __comp);
    for (_RandomAccessIterator __i = __j+1; __i != __last; ++__i)
    {
        if (__comp(*__i, *__j))
        {
            value_type __t(std::__1::move(*__i));
            _RandomAccessIterator __k = __j;
            __j = __i;
            do
            {
                *__j = std::__1::move(*__k);
                __j = __k;
            } while (__j != __first && __comp(__t, *--__k));
            *__j = std::__1::move(__t);
        }
        __j = __i;
    }
}

template <class _Compare, class _RandomAccessIterator>
bool
__insertion_sort_incomplete(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{
    switch (__last - __first)
    {
    case 0:
    case 1:
        return true;
    case 2:
        if (__comp(*--__last, *__first))
            swap(*__first, *__last);
        return true;
    case 3:
        std::__1::__sort3<_Compare>(__first, __first+1, --__last, __comp);
        return true;
    case 4:
        std::__1::__sort4<_Compare>(__first, __first+1, __first+2, --__last, __comp);
        return true;
    case 5:
        std::__1::__sort5<_Compare>(__first, __first+1, __first+2, __first+3, --__last, __comp);
        return true;
    }
    typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;
    _RandomAccessIterator __j = __first+2;
    __sort3<_Compare>(__first, __first+1, __j, __comp);
    const unsigned __limit = 8;
    unsigned __count = 0;
    for (_RandomAccessIterator __i = __j+1; __i != __last; ++__i)
    {
        if (__comp(*__i, *__j))
        {
            value_type __t(std::__1::move(*__i));
            _RandomAccessIterator __k = __j;
            __j = __i;
            do
            {
                *__j = std::__1::move(*__k);
                __j = __k;
            } while (__j != __first && __comp(__t, *--__k));
            *__j = std::__1::move(__t);
            if (++__count == __limit)
                return ++__i == __last;
        }
        __j = __i;
    }
    return true;
}

template <class _Compare, class _BirdirectionalIterator>
void
__insertion_sort_move(_BirdirectionalIterator __first1, _BirdirectionalIterator __last1,
                      typename iterator_traits<_BirdirectionalIterator>::value_type* __first2, _Compare __comp)
{
    typedef typename iterator_traits<_BirdirectionalIterator>::value_type value_type;
    if (__first1 != __last1)
    {
        __destruct_n __d(0);
        unique_ptr<value_type, __destruct_n&> __h(__first2, __d);
        value_type* __last2 = __first2;
        ::new(__last2) value_type(std::__1::move(*__first1));
        __d.__incr((value_type*)0);
        for (++__last2; ++__first1 != __last1; ++__last2)
        {
            value_type* __j2 = __last2;
            value_type* __i2 = __j2;
            if (__comp(*__first1, *--__i2))
            {
                ::new(__j2) value_type(std::__1::move(*__i2));
                __d.__incr((value_type*)0);
                for (--__j2; __i2 != __first2 && __comp(*__first1, *--__i2); --__j2)
                    *__j2 = std::__1::move(*__i2);
                *__j2 = std::__1::move(*__first1);
            }
            else
            {
                ::new(__j2) value_type(std::__1::move(*__first1));
                __d.__incr((value_type*)0);
            }
        }
        __h.release();
    }
}

template <class _Compare, class _RandomAccessIterator>
void
__sort(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{

    typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;
    const difference_type __limit = is_trivially_copy_constructible<value_type>::value &&
                                    is_trivially_copy_assignable<value_type>::value ? 30 : 6;
    while (true)
    {
    __restart:
        difference_type __len = __last - __first;
        switch (__len)
        {
        case 0:
        case 1:
            return;
        case 2:
            if (__comp(*--__last, *__first))
                swap(*__first, *__last);
            return;
        case 3:
            std::__1::__sort3<_Compare>(__first, __first+1, --__last, __comp);
            return;
        case 4:
            std::__1::__sort4<_Compare>(__first, __first+1, __first+2, --__last, __comp);
            return;
        case 5:
            std::__1::__sort5<_Compare>(__first, __first+1, __first+2, __first+3, --__last, __comp);
            return;
        }
        if (__len <= __limit)
        {
            std::__1::__insertion_sort_3<_Compare>(__first, __last, __comp);
            return;
        }

        _RandomAccessIterator __m = __first;
        _RandomAccessIterator __lm1 = __last;
        --__lm1;
        unsigned __n_swaps;
        {
        difference_type __delta;
        if (__len >= 1000)
        {
            __delta = __len/2;
            __m += __delta;
            __delta /= 2;
            __n_swaps = std::__1::__sort5<_Compare>(__first, __first + __delta, __m, __m+__delta, __lm1, __comp);
        }
        else
        {
            __delta = __len/2;
            __m += __delta;
            __n_swaps = std::__1::__sort3<_Compare>(__first, __m, __lm1, __comp);
        }
        }



        _RandomAccessIterator __i = __first;
        _RandomAccessIterator __j = __lm1;



        if (!__comp(*__i, *__m))
        {


            while (true)
            {
                if (__i == --__j)
                {


                    ++__i;
                    __j = __last;
                    if (!__comp(*__first, *--__j))
                    {
                        while (true)
                        {
                            if (__i == __j)
                                return;
                            if (__comp(*__first, *__i))
                            {
                                swap(*__i, *__j);
                                ++__n_swaps;
                                ++__i;
                                break;
                            }
                            ++__i;
                        }
                    }

                    if (__i == __j)
                        return;
                    while (true)
                    {
                        while (!__comp(*__first, *__i))
                            ++__i;
                        while (__comp(*__first, *--__j))
                            ;
                        if (__i >= __j)
                            break;
                        swap(*__i, *__j);
                        ++__n_swaps;
                        ++__i;
                    }



                    __first = __i;
                    goto __restart;
                }
                if (__comp(*__j, *__m))
                {
                    swap(*__i, *__j);
                    ++__n_swaps;
                    break;
                }
            }
        }

        ++__i;


        if (__i < __j)
        {


            while (true)
            {

                while (__comp(*__i, *__m))
                    ++__i;

                while (!__comp(*--__j, *__m))
                    ;
                if (__i > __j)
                    break;
                swap(*__i, *__j);
                ++__n_swaps;


                if (__m == __i)
                    __m = __j;
                ++__i;
            }
        }

        if (__i != __m && __comp(*__m, *__i))
        {
            swap(*__i, *__m);
            ++__n_swaps;
        }


        if (__n_swaps == 0)
        {
            bool __fs = std::__1::__insertion_sort_incomplete<_Compare>(__first, __i, __comp);
            if (std::__1::__insertion_sort_incomplete<_Compare>(__i+1, __last, __comp))
            {
                if (__fs)
                    return;
                __last = __i;
                continue;
            }
            else
            {
                if (__fs)
                {
                    __first = ++__i;
                    continue;
                }
            }
        }

        if (__i - __first < __last - __i)
        {
            std::__1::__sort<_Compare>(__first, __i, __comp);

            __first = ++__i;
        }
        else
        {
            std::__1::__sort<_Compare>(__i+1, __last, __comp);

            __last = __i;
        }
    }
}


template <class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
sort(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    __sort<_Comp_ref>(__first, __last, __comp);

}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
sort(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
    std::__1::sort(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
sort(_Tp** __first, _Tp** __last)
{
    std::__1::sort((size_t*)__first, (size_t*)__last, __less<size_t>());
}

template <class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
sort(__wrap_iter<_Tp*> __first, __wrap_iter<_Tp*> __last)
{
    std::__1::sort(__first.base(), __last.base());
}

template <class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
sort(__wrap_iter<_Tp*> __first, __wrap_iter<_Tp*> __last, _Compare __comp)
{
    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    std::__1::sort<_Tp*, _Comp_ref>(__first.base(), __last.base(), __comp);
}

extern template __attribute__ ((__visibility__("default"))) void __sort<__less<char>&, char*>(char*, char*, __less<char>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<wchar_t>&, wchar_t*>(wchar_t*, wchar_t*, __less<wchar_t>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<signed char>&, signed char*>(signed char*, signed char*, __less<signed char>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<unsigned char>&, unsigned char*>(unsigned char*, unsigned char*, __less<unsigned char>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<short>&, short*>(short*, short*, __less<short>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<unsigned short>&, unsigned short*>(unsigned short*, unsigned short*, __less<unsigned short>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<int>&, int*>(int*, int*, __less<int>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<unsigned>&, unsigned*>(unsigned*, unsigned*, __less<unsigned>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<long>&, long*>(long*, long*, __less<long>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<unsigned long>&, unsigned long*>(unsigned long*, unsigned long*, __less<unsigned long>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<long long>&, long long*>(long long*, long long*, __less<long long>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<unsigned long long>&, unsigned long long*>(unsigned long long*, unsigned long long*, __less<unsigned long long>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<float>&, float*>(float*, float*, __less<float>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<double>&, double*>(double*, double*, __less<double>&);
extern template __attribute__ ((__visibility__("default"))) void __sort<__less<long double>&, long double*>(long double*, long double*, __less<long double>&);

extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<char>&, char*>(char*, char*, __less<char>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<wchar_t>&, wchar_t*>(wchar_t*, wchar_t*, __less<wchar_t>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<signed char>&, signed char*>(signed char*, signed char*, __less<signed char>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<unsigned char>&, unsigned char*>(unsigned char*, unsigned char*, __less<unsigned char>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<short>&, short*>(short*, short*, __less<short>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<unsigned short>&, unsigned short*>(unsigned short*, unsigned short*, __less<unsigned short>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<int>&, int*>(int*, int*, __less<int>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<unsigned>&, unsigned*>(unsigned*, unsigned*, __less<unsigned>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<long>&, long*>(long*, long*, __less<long>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<unsigned long>&, unsigned long*>(unsigned long*, unsigned long*, __less<unsigned long>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<long long>&, long long*>(long long*, long long*, __less<long long>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<unsigned long long>&, unsigned long long*>(unsigned long long*, unsigned long long*, __less<unsigned long long>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<float>&, float*>(float*, float*, __less<float>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<double>&, double*>(double*, double*, __less<double>&);
extern template __attribute__ ((__visibility__("default"))) bool __insertion_sort_incomplete<__less<long double>&, long double*>(long double*, long double*, __less<long double>&);

extern template __attribute__ ((__visibility__("default"))) unsigned __sort5<__less<long double>&, long double*>(long double*, long double*, long double*, long double*, long double*, __less<long double>&);



template <class _Compare, class _ForwardIterator, class _Tp>
                              _ForwardIterator
__lower_bound(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_, _Compare __comp)
{
    typedef typename iterator_traits<_ForwardIterator>::difference_type difference_type;
    difference_type __len = std::__1::distance(__first, __last);
    while (__len != 0)
    {
        difference_type __l2 = std::__1::__half_positive(__len);
        _ForwardIterator __m = __first;
        std::__1::advance(__m, __l2);
        if (__comp(*__m, __value_))
        {
            __first = ++__m;
            __len -= __l2 + 1;
        }
        else
            __len = __l2;
    }
    return __first;
}

template <class _ForwardIterator, class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
lower_bound(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_, _Compare __comp)
{
    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __lower_bound<_Comp_ref>(__first, __last, __value_, __comp);
}

template <class _ForwardIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
lower_bound(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_)
{
    return std::__1::lower_bound(__first, __last, __value_,
                             __less<typename iterator_traits<_ForwardIterator>::value_type, _Tp>());
}



template <class _Compare, class _ForwardIterator, class _Tp>
                              _ForwardIterator
__upper_bound(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_, _Compare __comp)
{
    typedef typename iterator_traits<_ForwardIterator>::difference_type difference_type;
    difference_type __len = std::__1::distance(__first, __last);
    while (__len != 0)
    {
        difference_type __l2 = std::__1::__half_positive(__len);
        _ForwardIterator __m = __first;
        std::__1::advance(__m, __l2);
        if (__comp(__value_, *__m))
            __len = __l2;
        else
        {
            __first = ++__m;
            __len -= __l2 + 1;
        }
    }
    return __first;
}

template <class _ForwardIterator, class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
upper_bound(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_, _Compare __comp)
{
    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __upper_bound<_Comp_ref>(__first, __last, __value_, __comp);
}

template <class _ForwardIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_ForwardIterator
upper_bound(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_)
{
    return std::__1::upper_bound(__first, __last, __value_,
                             __less<_Tp, typename iterator_traits<_ForwardIterator>::value_type>());
}



template <class _Compare, class _ForwardIterator, class _Tp>
                              pair<_ForwardIterator, _ForwardIterator>
__equal_range(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_, _Compare __comp)
{
    typedef typename iterator_traits<_ForwardIterator>::difference_type difference_type;
    difference_type __len = std::__1::distance(__first, __last);
    while (__len != 0)
    {
        difference_type __l2 = std::__1::__half_positive(__len);
        _ForwardIterator __m = __first;
        std::__1::advance(__m, __l2);
        if (__comp(*__m, __value_))
        {
            __first = ++__m;
            __len -= __l2 + 1;
        }
        else if (__comp(__value_, *__m))
        {
            __last = __m;
            __len = __l2;
        }
        else
        {
            _ForwardIterator __mp1 = __m;
            return pair<_ForwardIterator, _ForwardIterator>
                   (
                      __lower_bound<_Compare>(__first, __m, __value_, __comp),
                      __upper_bound<_Compare>(++__mp1, __last, __value_, __comp)
                   );
        }
    }
    return pair<_ForwardIterator, _ForwardIterator>(__first, __first);
}

template <class _ForwardIterator, class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
pair<_ForwardIterator, _ForwardIterator>
equal_range(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __equal_range<_Comp_ref>(__first, __last, __value_, __comp);

}

template <class _ForwardIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
pair<_ForwardIterator, _ForwardIterator>
equal_range(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_)
{
    return std::__1::equal_range(__first, __last, __value_,
                             __less<typename iterator_traits<_ForwardIterator>::value_type, _Tp>());
}



template <class _Compare, class _ForwardIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
__binary_search(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_, _Compare __comp)
{
    __first = __lower_bound<_Compare>(__first, __last, __value_, __comp);
    return __first != __last && !__comp(__value_, *__first);
}

template <class _ForwardIterator, class _Tp, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
binary_search(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __binary_search<_Comp_ref>(__first, __last, __value_, __comp);

}

template <class _ForwardIterator, class _Tp>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
binary_search(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value_)
{
    return std::__1::binary_search(__first, __last, __value_,
                             __less<typename iterator_traits<_ForwardIterator>::value_type, _Tp>());
}



template <class _Compare, class _InputIterator1, class _InputIterator2, class _OutputIterator>
_OutputIterator
__merge(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{
    for (; __first1 != __last1; ++__result)
    {
        if (__first2 == __last2)
            return std::__1::copy(__first1, __last1, __result);
        if (__comp(*__first2, *__first1))
        {
            *__result = *__first2;
            ++__first2;
        }
        else
        {
            *__result = *__first1;
            ++__first1;
        }
    }
    return std::__1::copy(__first2, __last2, __result);
}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
merge(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return std::__1::__merge<_Comp_ref>(__first1, __last1, __first2, __last2, __result, __comp);

}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
merge(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result)
{
    typedef typename iterator_traits<_InputIterator1>::value_type __v1;
    typedef typename iterator_traits<_InputIterator2>::value_type __v2;
    return merge(__first1, __last1, __first2, __last2, __result, __less<__v1, __v2>());
}



template <class _Compare, class _InputIterator1, class _InputIterator2,
          class _OutputIterator>
void __half_inplace_merge(_InputIterator1 __first1, _InputIterator1 __last1,
                          _InputIterator2 __first2, _InputIterator2 __last2,
                          _OutputIterator __result, _Compare __comp)
{
    for (; __first1 != __last1; ++__result)
    {
        if (__first2 == __last2)
        {
            std::__1::move(__first1, __last1, __result);
            return;
        }

        if (__comp(*__first2, *__first1))
        {
            *__result = std::__1::move(*__first2);
            ++__first2;
        }
        else
        {
            *__result = std::__1::move(*__first1);
            ++__first1;
        }
    }

}

template <class _Compare, class _BidirectionalIterator>
void
__buffered_inplace_merge(_BidirectionalIterator __first, _BidirectionalIterator __middle, _BidirectionalIterator __last,
                _Compare __comp, typename iterator_traits<_BidirectionalIterator>::difference_type __len1,
                                 typename iterator_traits<_BidirectionalIterator>::difference_type __len2,
                typename iterator_traits<_BidirectionalIterator>::value_type* __buff)
{
    typedef typename iterator_traits<_BidirectionalIterator>::value_type value_type;
    __destruct_n __d(0);
    unique_ptr<value_type, __destruct_n&> __h2(__buff, __d);
    if (__len1 <= __len2)
    {
        value_type* __p = __buff;
        for (_BidirectionalIterator __i = __first; __i != __middle; __d.__incr((value_type*)0), (void) ++__i, ++__p)
            ::new(__p) value_type(std::__1::move(*__i));
        __half_inplace_merge(__buff, __p, __middle, __last, __first, __comp);
    }
    else
    {
        value_type* __p = __buff;
        for (_BidirectionalIterator __i = __middle; __i != __last; __d.__incr((value_type*)0), (void) ++__i, ++__p)
            ::new(__p) value_type(std::__1::move(*__i));
        typedef reverse_iterator<_BidirectionalIterator> _RBi;
        typedef reverse_iterator<value_type*> _Rv;
        __half_inplace_merge(_Rv(__p), _Rv(__buff),
                             _RBi(__middle), _RBi(__first),
                             _RBi(__last), __invert<_Compare>(__comp));
    }
}

template <class _Compare, class _BidirectionalIterator>
void
__inplace_merge(_BidirectionalIterator __first, _BidirectionalIterator __middle, _BidirectionalIterator __last,
                _Compare __comp, typename iterator_traits<_BidirectionalIterator>::difference_type __len1,
                                 typename iterator_traits<_BidirectionalIterator>::difference_type __len2,
                typename iterator_traits<_BidirectionalIterator>::value_type* __buff, ptrdiff_t __buff_size)
{
    typedef typename iterator_traits<_BidirectionalIterator>::difference_type difference_type;
    while (true)
    {

        if (__len2 == 0)
            return;
        if (__len1 <= __buff_size || __len2 <= __buff_size)
            return __buffered_inplace_merge<_Compare>
                   (__first, __middle, __last, __comp, __len1, __len2, __buff);

        for (; true; ++__first, (void) --__len1)
        {
            if (__len1 == 0)
                return;
            if (__comp(*__middle, *__first))
                break;
        }
# 4412 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/algorithm" 3
        _BidirectionalIterator __m1;
        _BidirectionalIterator __m2;
        difference_type __len11;
        difference_type __len21;

        if (__len1 < __len2)
        {
            __len21 = __len2 / 2;
            __m2 = __middle;
            std::__1::advance(__m2, __len21);
            __m1 = __upper_bound<_Compare>(__first, __middle, *__m2, __comp);
            __len11 = std::__1::distance(__first, __m1);
        }
        else
        {
            if (__len1 == 1)
            {

                swap(*__first, *__middle);
                return;
            }

            __len11 = __len1 / 2;
            __m1 = __first;
            std::__1::advance(__m1, __len11);
            __m2 = __lower_bound<_Compare>(__middle, __last, *__m1, __comp);
            __len21 = std::__1::distance(__middle, __m2);
        }
        difference_type __len12 = __len1 - __len11;
        difference_type __len22 = __len2 - __len21;


        __middle = std::__1::rotate(__m1, __middle, __m2);


        if (__len11 + __len21 < __len12 + __len22)
        {
            __inplace_merge<_Compare>(__first, __m1, __middle, __comp, __len11, __len21, __buff, __buff_size);

            __first = __middle;
            __middle = __m2;
            __len1 = __len12;
            __len2 = __len22;
        }
        else
        {
            __inplace_merge<_Compare>(__middle, __m2, __last, __comp, __len12, __len22, __buff, __buff_size);

            __last = __middle;
            __middle = __m1;
            __len1 = __len11;
            __len2 = __len21;
        }
    }
}

template <class _BidirectionalIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
inplace_merge(_BidirectionalIterator __first, _BidirectionalIterator __middle, _BidirectionalIterator __last,
              _Compare __comp)
{
    typedef typename iterator_traits<_BidirectionalIterator>::value_type value_type;
    typedef typename iterator_traits<_BidirectionalIterator>::difference_type difference_type;
    difference_type __len1 = std::__1::distance(__first, __middle);
    difference_type __len2 = std::__1::distance(__middle, __last);
    difference_type __buf_size = std::__1::min(__len1, __len2);
    pair<value_type*, ptrdiff_t> __buf = std::__1::get_temporary_buffer<value_type>(__buf_size);
    unique_ptr<value_type, __return_temporary_buffer> __h(__buf.first);







    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return std::__1::__inplace_merge<_Comp_ref>(__first, __middle, __last, __comp, __len1, __len2,
                                            __buf.first, __buf.second);

}

template <class _BidirectionalIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
inplace_merge(_BidirectionalIterator __first, _BidirectionalIterator __middle, _BidirectionalIterator __last)
{
    std::__1::inplace_merge(__first, __middle, __last,
                        __less<typename iterator_traits<_BidirectionalIterator>::value_type>());
}



template <class _Compare, class _InputIterator1, class _InputIterator2>
void
__merge_move_construct(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        typename iterator_traits<_InputIterator1>::value_type* __result, _Compare __comp)
{
    typedef typename iterator_traits<_InputIterator1>::value_type value_type;
    __destruct_n __d(0);
    unique_ptr<value_type, __destruct_n&> __h(__result, __d);
    for (; true; ++__result)
    {
        if (__first1 == __last1)
        {
            for (; __first2 != __last2; ++__first2, ++__result, __d.__incr((value_type*)0))
                ::new (__result) value_type(std::__1::move(*__first2));
            __h.release();
            return;
        }
        if (__first2 == __last2)
        {
            for (; __first1 != __last1; ++__first1, ++__result, __d.__incr((value_type*)0))
                ::new (__result) value_type(std::__1::move(*__first1));
            __h.release();
            return;
        }
        if (__comp(*__first2, *__first1))
        {
            ::new (__result) value_type(std::__1::move(*__first2));
            __d.__incr((value_type*)0);
            ++__first2;
        }
        else
        {
            ::new (__result) value_type(std::__1::move(*__first1));
            __d.__incr((value_type*)0);
            ++__first1;
        }
    }
}

template <class _Compare, class _InputIterator1, class _InputIterator2, class _OutputIterator>
void
__merge_move_assign(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        _OutputIterator __result, _Compare __comp)
{
    for (; __first1 != __last1; ++__result)
    {
        if (__first2 == __last2)
        {
            for (; __first1 != __last1; ++__first1, ++__result)
                *__result = std::__1::move(*__first1);
            return;
        }
        if (__comp(*__first2, *__first1))
        {
            *__result = std::__1::move(*__first2);
            ++__first2;
        }
        else
        {
            *__result = std::__1::move(*__first1);
            ++__first1;
        }
    }
    for (; __first2 != __last2; ++__first2, ++__result)
        *__result = std::__1::move(*__first2);
}

template <class _Compare, class _RandomAccessIterator>
void
__stable_sort(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp,
              typename iterator_traits<_RandomAccessIterator>::difference_type __len,
              typename iterator_traits<_RandomAccessIterator>::value_type* __buff, ptrdiff_t __buff_size);

template <class _Compare, class _RandomAccessIterator>
void
__stable_sort_move(_RandomAccessIterator __first1, _RandomAccessIterator __last1, _Compare __comp,
                   typename iterator_traits<_RandomAccessIterator>::difference_type __len,
                   typename iterator_traits<_RandomAccessIterator>::value_type* __first2)
{
    typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;
    switch (__len)
    {
    case 0:
        return;
    case 1:
        ::new(__first2) value_type(std::__1::move(*__first1));
        return;
    case 2:
        __destruct_n __d(0);
        unique_ptr<value_type, __destruct_n&> __h2(__first2, __d);
        if (__comp(*--__last1, *__first1))
        {
            ::new(__first2) value_type(std::__1::move(*__last1));
            __d.__incr((value_type*)0);
            ++__first2;
            ::new(__first2) value_type(std::__1::move(*__first1));
        }
        else
        {
            ::new(__first2) value_type(std::__1::move(*__first1));
            __d.__incr((value_type*)0);
            ++__first2;
            ::new(__first2) value_type(std::__1::move(*__last1));
        }
        __h2.release();
        return;
    }
    if (__len <= 8)
    {
        __insertion_sort_move<_Compare>(__first1, __last1, __first2, __comp);
        return;
    }
    typename iterator_traits<_RandomAccessIterator>::difference_type __l2 = __len / 2;
    _RandomAccessIterator __m = __first1 + __l2;
    __stable_sort<_Compare>(__first1, __m, __comp, __l2, __first2, __l2);
    __stable_sort<_Compare>(__m, __last1, __comp, __len - __l2, __first2 + __l2, __len - __l2);
    __merge_move_construct<_Compare>(__first1, __m, __m, __last1, __first2, __comp);
}

template <class _Tp>
struct __stable_sort_switch
{
    static const unsigned value = 128*is_trivially_copy_assignable<_Tp>::value;
};

template <class _Compare, class _RandomAccessIterator>
void
__stable_sort(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp,
              typename iterator_traits<_RandomAccessIterator>::difference_type __len,
              typename iterator_traits<_RandomAccessIterator>::value_type* __buff, ptrdiff_t __buff_size)
{
    typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;
    typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    switch (__len)
    {
    case 0:
    case 1:
        return;
    case 2:
        if (__comp(*--__last, *__first))
            swap(*__first, *__last);
        return;
    }
    if (__len <= static_cast<difference_type>(__stable_sort_switch<value_type>::value))
    {
        __insertion_sort<_Compare>(__first, __last, __comp);
        return;
    }
    typename iterator_traits<_RandomAccessIterator>::difference_type __l2 = __len / 2;
    _RandomAccessIterator __m = __first + __l2;
    if (__len <= __buff_size)
    {
        __destruct_n __d(0);
        unique_ptr<value_type, __destruct_n&> __h2(__buff, __d);
        __stable_sort_move<_Compare>(__first, __m, __comp, __l2, __buff);
        __d.__set(__l2, (value_type*)0);
        __stable_sort_move<_Compare>(__m, __last, __comp, __len - __l2, __buff + __l2);
        __d.__set(__len, (value_type*)0);
        __merge_move_assign<_Compare>(__buff, __buff + __l2, __buff + __l2, __buff + __len, __first, __comp);





        return;
    }
    __stable_sort<_Compare>(__first, __m, __comp, __l2, __buff, __buff_size);
    __stable_sort<_Compare>(__m, __last, __comp, __len - __l2, __buff, __buff_size);
    __inplace_merge<_Compare>(__first, __m, __last, __comp, __l2, __len - __l2, __buff, __buff_size);
}

template <class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
stable_sort(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{
    typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;
    typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    difference_type __len = __last - __first;
    pair<value_type*, ptrdiff_t> __buf(0, 0);
    unique_ptr<value_type, __return_temporary_buffer> __h;
    if (__len > static_cast<difference_type>(__stable_sort_switch<value_type>::value))
    {
        __buf = std::__1::get_temporary_buffer<value_type>(__len);
        __h.reset(__buf.first);
    }





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    __stable_sort<_Comp_ref>(__first, __last, __comp, __len, __buf.first, __buf.second);

}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
stable_sort(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
    std::__1::stable_sort(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _RandomAccessIterator, class _Compare>
                              _RandomAccessIterator
is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{
    typedef typename std::__1::iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    difference_type __len = __last - __first;
    difference_type __p = 0;
    difference_type __c = 1;
    _RandomAccessIterator __pp = __first;
    while (__c < __len)
    {
        _RandomAccessIterator __cp = __first + __c;
        if (__comp(*__pp, *__cp))
            return __cp;
        ++__c;
        ++__cp;
        if (__c == __len)
            return __last;
        if (__comp(*__pp, *__cp))
            return __cp;
        ++__p;
        ++__pp;
        __c = 2 * __p + 1;
    }
    return __last;
}

template<class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_RandomAccessIterator
is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
    return std::__1::is_heap_until(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{
    return std::__1::is_heap_until(__first, __last, __comp) == __last;
}

template<class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
    return std::__1::is_heap(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _Compare, class _RandomAccessIterator>
void
__sift_up(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp,
          typename iterator_traits<_RandomAccessIterator>::difference_type __len)
{
    typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;
    if (__len > 1)
    {
        __len = (__len - 2) / 2;
        _RandomAccessIterator __ptr = __first + __len;
        if (__comp(*__ptr, *--__last))
        {
            value_type __t(std::__1::move(*__last));
            do
            {
                *__last = std::__1::move(*__ptr);
                __last = __ptr;
                if (__len == 0)
                    break;
                __len = (__len - 1) / 2;
                __ptr = __first + __len;
            } while (__comp(*__ptr, __t));
            *__last = std::__1::move(__t);
        }
    }
}

template <class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    __sift_up<_Comp_ref>(__first, __last, __comp, __last - __first);

}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
    std::__1::push_heap(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _Compare, class _RandomAccessIterator>
void
__sift_down(_RandomAccessIterator __first, _RandomAccessIterator ,
            _Compare __comp,
            typename iterator_traits<_RandomAccessIterator>::difference_type __len,
            _RandomAccessIterator __start)
{
    typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    typedef typename iterator_traits<_RandomAccessIterator>::value_type value_type;


    difference_type __child = __start - __first;

    if (__len < 2 || (__len - 2) / 2 < __child)
        return;

    __child = 2 * __child + 1;
    _RandomAccessIterator __child_i = __first + __child;

    if ((__child + 1) < __len && __comp(*__child_i, *(__child_i + 1))) {

        ++__child_i;
        ++__child;
    }


    if (__comp(*__child_i, *__start))

        return;

    value_type __top(std::__1::move(*__start));
    do
    {

        *__start = std::__1::move(*__child_i);
        __start = __child_i;

        if ((__len - 2) / 2 < __child)
            break;


        __child = 2 * __child + 1;
        __child_i = __first + __child;

        if ((__child + 1) < __len && __comp(*__child_i, *(__child_i + 1))) {

            ++__child_i;
            ++__child;
        }


    } while (!__comp(*__child_i, __top));
    *__start = std::__1::move(__top);
}

template <class _Compare, class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
__pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp,
           typename iterator_traits<_RandomAccessIterator>::difference_type __len)
{
    if (__len > 1)
    {
        swap(*__first, *--__last);
        __sift_down<_Compare>(__first, __last, __comp, __len - 1, __first);
    }
}

template <class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    __pop_heap<_Comp_ref>(__first, __last, __comp, __last - __first);

}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
    std::__1::pop_heap(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _Compare, class _RandomAccessIterator>
void
__make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{
    typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    difference_type __n = __last - __first;
    if (__n > 1)
    {

        for (difference_type __start = (__n - 2) / 2; __start >= 0; --__start)
        {
            __sift_down<_Compare>(__first, __last, __comp, __n, __first + __start);
        }
    }
}

template <class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    __make_heap<_Comp_ref>(__first, __last, __comp);

}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
    std::__1::make_heap(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _Compare, class _RandomAccessIterator>
void
__sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{
    typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    for (difference_type __n = __last - __first; __n > 1; --__last, --__n)
        __pop_heap<_Compare>(__first, __last, __comp, __n);
}

template <class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    __sort_heap<_Comp_ref>(__first, __last, __comp);

}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
    std::__1::sort_heap(__first, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _Compare, class _RandomAccessIterator>
void
__partial_sort(_RandomAccessIterator __first, _RandomAccessIterator __middle, _RandomAccessIterator __last,
             _Compare __comp)
{
    __make_heap<_Compare>(__first, __middle, __comp);
    typename iterator_traits<_RandomAccessIterator>::difference_type __len = __middle - __first;
    for (_RandomAccessIterator __i = __middle; __i != __last; ++__i)
    {
        if (__comp(*__i, *__first))
        {
            swap(*__i, *__first);
            __sift_down<_Compare>(__first, __middle, __comp, __len, __first);
        }
    }
    __sort_heap<_Compare>(__first, __middle, __comp);
}

template <class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
partial_sort(_RandomAccessIterator __first, _RandomAccessIterator __middle, _RandomAccessIterator __last,
             _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    __partial_sort<_Comp_ref>(__first, __middle, __last, __comp);

}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
partial_sort(_RandomAccessIterator __first, _RandomAccessIterator __middle, _RandomAccessIterator __last)
{
    std::__1::partial_sort(__first, __middle, __last,
                       __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _Compare, class _InputIterator, class _RandomAccessIterator>
_RandomAccessIterator
__partial_sort_copy(_InputIterator __first, _InputIterator __last,
                    _RandomAccessIterator __result_first, _RandomAccessIterator __result_last, _Compare __comp)
{
    _RandomAccessIterator __r = __result_first;
    if (__r != __result_last)
    {
        for (; __first != __last && __r != __result_last; (void) ++__first, ++__r)
            *__r = *__first;
        __make_heap<_Compare>(__result_first, __r, __comp);
        typename iterator_traits<_RandomAccessIterator>::difference_type __len = __r - __result_first;
        for (; __first != __last; ++__first)
            if (__comp(*__first, *__result_first))
            {
                *__result_first = *__first;
                __sift_down<_Compare>(__result_first, __r, __comp, __len, __result_first);
            }
        __sort_heap<_Compare>(__result_first, __r, __comp);
    }
    return __r;
}

template <class _InputIterator, class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_RandomAccessIterator
partial_sort_copy(_InputIterator __first, _InputIterator __last,
                  _RandomAccessIterator __result_first, _RandomAccessIterator __result_last, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __partial_sort_copy<_Comp_ref>(__first, __last, __result_first, __result_last, __comp);

}

template <class _InputIterator, class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_RandomAccessIterator
partial_sort_copy(_InputIterator __first, _InputIterator __last,
                  _RandomAccessIterator __result_first, _RandomAccessIterator __result_last)
{
    return std::__1::partial_sort_copy(__first, __last, __result_first, __result_last,
                                   __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _Compare, class _RandomAccessIterator>
void
__nth_element(_RandomAccessIterator __first, _RandomAccessIterator __nth, _RandomAccessIterator __last, _Compare __comp)
{

    typedef typename iterator_traits<_RandomAccessIterator>::difference_type difference_type;
    const difference_type __limit = 7;
    while (true)
    {
    __restart:
        if (__nth == __last)
            return;
        difference_type __len = __last - __first;
        switch (__len)
        {
        case 0:
        case 1:
            return;
        case 2:
            if (__comp(*--__last, *__first))
                swap(*__first, *__last);
            return;
        case 3:
            {
            _RandomAccessIterator __m = __first;
            std::__1::__sort3<_Compare>(__first, ++__m, --__last, __comp);
            return;
            }
        }
        if (__len <= __limit)
        {
            __selection_sort<_Compare>(__first, __last, __comp);
            return;
        }

        _RandomAccessIterator __m = __first + __len/2;
        _RandomAccessIterator __lm1 = __last;
        unsigned __n_swaps = std::__1::__sort3<_Compare>(__first, __m, --__lm1, __comp);



        _RandomAccessIterator __i = __first;
        _RandomAccessIterator __j = __lm1;



        if (!__comp(*__i, *__m))
        {


            while (true)
            {
                if (__i == --__j)
                {


                    ++__i;
                    __j = __last;
                    if (!__comp(*__first, *--__j))
                    {
                        while (true)
                        {
                            if (__i == __j)
                                return;
                            if (__comp(*__first, *__i))
                            {
                                swap(*__i, *__j);
                                ++__n_swaps;
                                ++__i;
                                break;
                            }
                            ++__i;
                        }
                    }

                    if (__i == __j)
                        return;
                    while (true)
                    {
                        while (!__comp(*__first, *__i))
                            ++__i;
                        while (__comp(*__first, *--__j))
                            ;
                        if (__i >= __j)
                            break;
                        swap(*__i, *__j);
                        ++__n_swaps;
                        ++__i;
                    }


                    if (__nth < __i)
                        return;


                    __first = __i;
                    goto __restart;
                }
                if (__comp(*__j, *__m))
                {
                    swap(*__i, *__j);
                    ++__n_swaps;
                    break;
                }
            }
        }
        ++__i;


        if (__i < __j)
        {

            while (true)
            {

                while (__comp(*__i, *__m))
                    ++__i;

                while (!__comp(*--__j, *__m))
                    ;
                if (__i >= __j)
                    break;
                swap(*__i, *__j);
                ++__n_swaps;


                if (__m == __i)
                    __m = __j;
                ++__i;
            }
        }

        if (__i != __m && __comp(*__m, *__i))
        {
            swap(*__i, *__m);
            ++__n_swaps;
        }

        if (__nth == __i)
            return;
        if (__n_swaps == 0)
        {

            if (__nth < __i)
            {

                __j = __m = __first;
                while (++__j != __i)
                {
                    if (__comp(*__j, *__m))

                        goto not_sorted;
                    __m = __j;
                }

                return;
            }
            else
            {

                __j = __m = __i;
                while (++__j != __last)
                {
                    if (__comp(*__j, *__m))

                        goto not_sorted;
                    __m = __j;
                }

                return;
            }
        }
not_sorted:

        if (__nth < __i)
        {

            __last = __i;
        }
        else
        {

            __first = ++__i;
        }
    }
}

template <class _RandomAccessIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
nth_element(_RandomAccessIterator __first, _RandomAccessIterator __nth, _RandomAccessIterator __last, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    __nth_element<_Comp_ref>(__first, __nth, __last, __comp);

}

template <class _RandomAccessIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
void
nth_element(_RandomAccessIterator __first, _RandomAccessIterator __nth, _RandomAccessIterator __last)
{
    std::__1::nth_element(__first, __nth, __last, __less<typename iterator_traits<_RandomAccessIterator>::value_type>());
}



template <class _Compare, class _InputIterator1, class _InputIterator2>
                              bool
__includes(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _InputIterator2 __last2,
           _Compare __comp)
{
    for (; __first2 != __last2; ++__first1)
    {
        if (__first1 == __last1 || __comp(*__first2, *__first1))
            return false;
        if (!__comp(*__first1, *__first2))
            ++__first2;
    }
    return true;
}

template <class _InputIterator1, class _InputIterator2, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
includes(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _InputIterator2 __last2,
         _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __includes<_Comp_ref>(__first1, __last1, __first2, __last2, __comp);

}

template <class _InputIterator1, class _InputIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
includes(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _InputIterator2 __last2)
{
    return std::__1::includes(__first1, __last1, __first2, __last2,
                          __less<typename iterator_traits<_InputIterator1>::value_type,
                                 typename iterator_traits<_InputIterator2>::value_type>());
}



template <class _Compare, class _InputIterator1, class _InputIterator2, class _OutputIterator>
_OutputIterator
__set_union(_InputIterator1 __first1, _InputIterator1 __last1,
            _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{
    for (; __first1 != __last1; ++__result)
    {
        if (__first2 == __last2)
            return std::__1::copy(__first1, __last1, __result);
        if (__comp(*__first2, *__first1))
        {
            *__result = *__first2;
            ++__first2;
        }
        else
        {
            if (!__comp(*__first1, *__first2))
                ++__first2;
            *__result = *__first1;
            ++__first1;
        }
    }
    return std::__1::copy(__first2, __last2, __result);
}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
set_union(_InputIterator1 __first1, _InputIterator1 __last1,
          _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __set_union<_Comp_ref>(__first1, __last1, __first2, __last2, __result, __comp);

}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
set_union(_InputIterator1 __first1, _InputIterator1 __last1,
          _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result)
{
    return std::__1::set_union(__first1, __last1, __first2, __last2, __result,
                          __less<typename iterator_traits<_InputIterator1>::value_type,
                                 typename iterator_traits<_InputIterator2>::value_type>());
}



template <class _Compare, class _InputIterator1, class _InputIterator2, class _OutputIterator>
                              _OutputIterator
__set_intersection(_InputIterator1 __first1, _InputIterator1 __last1,
                   _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{
    while (__first1 != __last1 && __first2 != __last2)
    {
        if (__comp(*__first1, *__first2))
            ++__first1;
        else
        {
            if (!__comp(*__first2, *__first1))
            {
                *__result = *__first1;
                ++__result;
                ++__first1;
            }
            ++__first2;
        }
    }
    return __result;
}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
set_intersection(_InputIterator1 __first1, _InputIterator1 __last1,
                 _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __set_intersection<_Comp_ref>(__first1, __last1, __first2, __last2, __result, __comp);

}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
set_intersection(_InputIterator1 __first1, _InputIterator1 __last1,
                 _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result)
{
    return std::__1::set_intersection(__first1, __last1, __first2, __last2, __result,
                                  __less<typename iterator_traits<_InputIterator1>::value_type,
                                         typename iterator_traits<_InputIterator2>::value_type>());
}



template <class _Compare, class _InputIterator1, class _InputIterator2, class _OutputIterator>
_OutputIterator
__set_difference(_InputIterator1 __first1, _InputIterator1 __last1,
                 _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{
    while (__first1 != __last1)
    {
        if (__first2 == __last2)
            return std::__1::copy(__first1, __last1, __result);
        if (__comp(*__first1, *__first2))
        {
            *__result = *__first1;
            ++__result;
            ++__first1;
        }
        else
        {
            if (!__comp(*__first2, *__first1))
                ++__first1;
            ++__first2;
        }
    }
    return __result;
}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
set_difference(_InputIterator1 __first1, _InputIterator1 __last1,
               _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __set_difference<_Comp_ref>(__first1, __last1, __first2, __last2, __result, __comp);

}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
set_difference(_InputIterator1 __first1, _InputIterator1 __last1,
               _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result)
{
    return std::__1::set_difference(__first1, __last1, __first2, __last2, __result,
                                __less<typename iterator_traits<_InputIterator1>::value_type,
                                       typename iterator_traits<_InputIterator2>::value_type>());
}



template <class _Compare, class _InputIterator1, class _InputIterator2, class _OutputIterator>
_OutputIterator
__set_symmetric_difference(_InputIterator1 __first1, _InputIterator1 __last1,
                           _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{
    while (__first1 != __last1)
    {
        if (__first2 == __last2)
            return std::__1::copy(__first1, __last1, __result);
        if (__comp(*__first1, *__first2))
        {
            *__result = *__first1;
            ++__result;
            ++__first1;
        }
        else
        {
            if (__comp(*__first2, *__first1))
            {
                *__result = *__first2;
                ++__result;
            }
            else
                ++__first1;
            ++__first2;
        }
    }
    return std::__1::copy(__first2, __last2, __result);
}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
set_symmetric_difference(_InputIterator1 __first1, _InputIterator1 __last1,
                         _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __set_symmetric_difference<_Comp_ref>(__first1, __last1, __first2, __last2, __result, __comp);

}

template <class _InputIterator1, class _InputIterator2, class _OutputIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
_OutputIterator
set_symmetric_difference(_InputIterator1 __first1, _InputIterator1 __last1,
                         _InputIterator2 __first2, _InputIterator2 __last2, _OutputIterator __result)
{
    return std::__1::set_symmetric_difference(__first1, __last1, __first2, __last2, __result,
                                          __less<typename iterator_traits<_InputIterator1>::value_type,
                                                 typename iterator_traits<_InputIterator2>::value_type>());
}



template <class _Compare, class _InputIterator1, class _InputIterator2>
                              bool
__lexicographical_compare(_InputIterator1 __first1, _InputIterator1 __last1,
                          _InputIterator2 __first2, _InputIterator2 __last2, _Compare __comp)
{
    for (; __first2 != __last2; ++__first1, (void) ++__first2)
    {
        if (__first1 == __last1 || __comp(*__first1, *__first2))
            return true;
        if (__comp(*__first2, *__first1))
            return false;
    }
    return false;
}

template <class _InputIterator1, class _InputIterator2, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
lexicographical_compare(_InputIterator1 __first1, _InputIterator1 __last1,
                        _InputIterator2 __first2, _InputIterator2 __last2, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __lexicographical_compare<_Comp_ref>(__first1, __last1, __first2, __last2, __comp);

}

template <class _InputIterator1, class _InputIterator2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
lexicographical_compare(_InputIterator1 __first1, _InputIterator1 __last1,
                        _InputIterator2 __first2, _InputIterator2 __last2)
{
    return std::__1::lexicographical_compare(__first1, __last1, __first2, __last2,
                                         __less<typename iterator_traits<_InputIterator1>::value_type,
                                                typename iterator_traits<_InputIterator2>::value_type>());
}



template <class _Compare, class _BidirectionalIterator>
bool
__next_permutation(_BidirectionalIterator __first, _BidirectionalIterator __last, _Compare __comp)
{
    _BidirectionalIterator __i = __last;
    if (__first == __last || __first == --__i)
        return false;
    while (true)
    {
        _BidirectionalIterator __ip1 = __i;
        if (__comp(*--__i, *__ip1))
        {
            _BidirectionalIterator __j = __last;
            while (!__comp(*__i, *--__j))
                ;
            swap(*__i, *__j);
            std::__1::reverse(__ip1, __last);
            return true;
        }
        if (__i == __first)
        {
            std::__1::reverse(__first, __last);
            return false;
        }
    }
}

template <class _BidirectionalIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
next_permutation(_BidirectionalIterator __first, _BidirectionalIterator __last, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __next_permutation<_Comp_ref>(__first, __last, __comp);

}

template <class _BidirectionalIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
next_permutation(_BidirectionalIterator __first, _BidirectionalIterator __last)
{
    return std::__1::next_permutation(__first, __last,
                                  __less<typename iterator_traits<_BidirectionalIterator>::value_type>());
}



template <class _Compare, class _BidirectionalIterator>
bool
__prev_permutation(_BidirectionalIterator __first, _BidirectionalIterator __last, _Compare __comp)
{
    _BidirectionalIterator __i = __last;
    if (__first == __last || __first == --__i)
        return false;
    while (true)
    {
        _BidirectionalIterator __ip1 = __i;
        if (__comp(*__ip1, *--__i))
        {
            _BidirectionalIterator __j = __last;
            while (!__comp(*--__j, *__i))
                ;
            swap(*__i, *__j);
            std::__1::reverse(__ip1, __last);
            return true;
        }
        if (__i == __first)
        {
            std::__1::reverse(__first, __last);
            return false;
        }
    }
}

template <class _BidirectionalIterator, class _Compare>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
prev_permutation(_BidirectionalIterator __first, _BidirectionalIterator __last, _Compare __comp)
{





    typedef typename add_lvalue_reference<_Compare>::type _Comp_ref;
    return __prev_permutation<_Comp_ref>(__first, __last, __comp);

}

template <class _BidirectionalIterator>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
bool
prev_permutation(_BidirectionalIterator __first, _BidirectionalIterator __last)
{
    return std::__1::prev_permutation(__first, __last,
                                  __less<typename iterator_traits<_BidirectionalIterator>::value_type>());
}

} }
# 13 "/Users/sean-parent/Projects/github.com/sean-parent/scratch/includes/stlab/concurrency/future.hpp" 2

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 1 3
# 20 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 21 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/assert.h" 1 3 4
# 44 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/assert.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/stdlib.h" 1 3 4
# 45 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/assert.h" 2 3 4
# 75 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/assert.h" 3 4
extern "C" {
void __assert_rtn(const char *, const char *, int, const char *) __attribute__((__noreturn__)) __attribute__((__cold__)) __attribute__((__disable_tail_calls__));



}
# 22 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 2 3
# 25 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/cassert" 3
# 15 "/Users/sean-parent/Projects/github.com/sean-parent/scratch/includes/stlab/concurrency/future.hpp" 2


# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/mutex" 1 3
# 190 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/mutex" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 191 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/mutex" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__mutex_base" 1 3
# 14 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__mutex_base" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 15 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__mutex_base" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/chrono" 1 3
# 797 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/chrono" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 798 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/chrono" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ctime" 1 3
# 49 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ctime" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 50 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ctime" 2 3
# 54 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ctime" 3


namespace std { inline namespace __1 {

using ::clock_t;
using ::size_t;
using ::time_t;
using ::tm;



using ::clock;
using ::difftime;
using ::mktime;
using ::time;

using ::asctime;
using ::ctime;
using ::gmtime;
using ::localtime;

using ::strftime;




} }
# 799 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/chrono" 2 3

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 1 3
# 81 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 82 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 2 3

# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/climits" 1 3
# 41 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/climits" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 42 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/climits" 2 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits.h" 1 3
# 41 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits.h" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__config" 1 3
# 42 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits.h" 2 3
# 45 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits.h" 3
# 58 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits.h" 3
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/limits.h" 1 3 4
# 37 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/limits.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/limits.h" 1 3 4
# 64 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/limits.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/limits.h" 1 3 4





# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/limits.h" 1 3 4
# 40 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/limits.h" 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/_limits.h" 1 3 4
# 41 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/i386/limits.h" 2 3 4
# 7 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/machine/limits.h" 2 3 4
# 65 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/limits.h" 2 3 4
# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/sys/syslimits.h" 1 3 4
# 66 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.15.sdk/usr/include/limits.h" 2 3 4
# 38 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/lib/clang/11.0.0/include/limits.h" 2 3 4
# 59 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/limits.h" 2 3
# 43 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/climits" 2 3
# 46 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/climits" 3
# 84 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 2 3
# 88 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 3



# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__undef_macros" 1 3
# 92 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 2 3


namespace std { inline namespace __1 {



template <intmax_t _Xp, intmax_t _Yp>
struct __static_gcd
{
    static const intmax_t value = __static_gcd<_Yp, _Xp % _Yp>::value;
};

template <intmax_t _Xp>
struct __static_gcd<_Xp, 0>
{
    static const intmax_t value = _Xp;
};

template <>
struct __static_gcd<0, 0>
{
    static const intmax_t value = 1;
};



template <intmax_t _Xp, intmax_t _Yp>
struct __static_lcm
{
    static const intmax_t value = _Xp / __static_gcd<_Xp, _Yp>::value * _Yp;
};

template <intmax_t _Xp>
struct __static_abs
{
    static const intmax_t value = _Xp < 0 ? -_Xp : _Xp;
};

template <intmax_t _Xp>
struct __static_sign
{
    static const intmax_t value = _Xp == 0 ? 0 : (_Xp < 0 ? -1 : 1);
};

template <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp>::value>
class __ll_add;

template <intmax_t _Xp, intmax_t _Yp>
class __ll_add<_Xp, _Yp, 1>
{
    static const intmax_t min = (1LL << (sizeof(intmax_t) * 8 - 1)) + 1;
    static const intmax_t max = -min;

    static_assert(_Xp <= max - _Yp, "overflow in __ll_add");
public:
    static const intmax_t value = _Xp + _Yp;
};

template <intmax_t _Xp, intmax_t _Yp>
class __ll_add<_Xp, _Yp, 0>
{
public:
    static const intmax_t value = _Xp;
};

template <intmax_t _Xp, intmax_t _Yp>
class __ll_add<_Xp, _Yp, -1>
{
    static const intmax_t min = (1LL << (sizeof(intmax_t) * 8 - 1)) + 1;
    static const intmax_t max = -min;

    static_assert(min - _Yp <= _Xp, "overflow in __ll_add");
public:
    static const intmax_t value = _Xp + _Yp;
};

template <intmax_t _Xp, intmax_t _Yp, intmax_t = __static_sign<_Yp>::value>
class __ll_sub;

template <intmax_t _Xp, intmax_t _Yp>
class __ll_sub<_Xp, _Yp, 1>
{
    static const intmax_t min = (1LL << (sizeof(intmax_t) * 8 - 1)) + 1;
    static const intmax_t max = -min;

    static_assert(min + _Yp <= _Xp, "overflow in __ll_sub");
public:
    static const intmax_t value = _Xp - _Yp;
};

template <intmax_t _Xp, intmax_t _Yp>
class __ll_sub<_Xp, _Yp, 0>
{
public:
    static const intmax_t value = _Xp;
};

template <intmax_t _Xp, intmax_t _Yp>
class __ll_sub<_Xp, _Yp, -1>
{
    static const intmax_t min = (1LL << (sizeof(intmax_t) * 8 - 1)) + 1;
    static const intmax_t max = -min;

    static_assert(_Xp <= max + _Yp, "overflow in __ll_sub");
public:
    static const intmax_t value = _Xp - _Yp;
};

template <intmax_t _Xp, intmax_t _Yp>
class __ll_mul
{
    static const intmax_t nan = (1LL << (sizeof(intmax_t) * 8 - 1));
    static const intmax_t min = nan + 1;
    static const intmax_t max = -min;
    static const intmax_t __a_x = __static_abs<_Xp>::value;
    static const intmax_t __a_y = __static_abs<_Yp>::value;

    static_assert(_Xp != nan && _Yp != nan && __a_x <= max / __a_y, "overflow in __ll_mul");
public:
    static const intmax_t value = _Xp * _Yp;
};

template <intmax_t _Yp>
class __ll_mul<0, _Yp>
{
public:
    static const intmax_t value = 0;
};

template <intmax_t _Xp>
class __ll_mul<_Xp, 0>
{
public:
    static const intmax_t value = 0;
};

template <>
class __ll_mul<0, 0>
{
public:
    static const intmax_t value = 0;
};


template <intmax_t _Xp, intmax_t _Yp>
class __ll_div
{
    static const intmax_t nan = (1LL << (sizeof(intmax_t) * 8 - 1));
    static const intmax_t min = nan + 1;
    static const intmax_t max = -min;

    static_assert(_Xp != nan && _Yp != nan && _Yp != 0, "overflow in __ll_div");
public:
    static const intmax_t value = _Xp / _Yp;
};

template <intmax_t _Num, intmax_t _Den = 1>
class __attribute__ ((__type_visibility__("default"))) ratio
{
    static_assert(__static_abs<_Num>::value >= 0, "ratio numerator is out of range");
    static_assert(_Den != 0, "ratio divide by 0");
    static_assert(__static_abs<_Den>::value > 0, "ratio denominator is out of range");
    static constexpr const intmax_t __na = __static_abs<_Num>::value;
    static constexpr const intmax_t __da = __static_abs<_Den>::value;
    static constexpr const intmax_t __s = __static_sign<_Num>::value * __static_sign<_Den>::value;
    static constexpr const intmax_t __gcd = __static_gcd<__na, __da>::value;
public:
    static constexpr const intmax_t num = __s * __na / __gcd;
    static constexpr const intmax_t den = __da / __gcd;

    typedef ratio<num, den> type;
};

template <intmax_t _Num, intmax_t _Den>
constexpr const intmax_t ratio<_Num, _Den>::num;

template <intmax_t _Num, intmax_t _Den>
constexpr const intmax_t ratio<_Num, _Den>::den;

template <class _Tp> struct __is_ratio : false_type {};
template <intmax_t _Num, intmax_t _Den> struct __is_ratio<ratio<_Num, _Den> > : true_type {};

typedef ratio<1LL, 1000000000000000000LL> atto;
typedef ratio<1LL, 1000000000000000LL> femto;
typedef ratio<1LL, 1000000000000LL> pico;
typedef ratio<1LL, 1000000000LL> nano;
typedef ratio<1LL, 1000000LL> micro;
typedef ratio<1LL, 1000LL> milli;
typedef ratio<1LL, 100LL> centi;
typedef ratio<1LL, 10LL> deci;
typedef ratio< 10LL, 1LL> deca;
typedef ratio< 100LL, 1LL> hecto;
typedef ratio< 1000LL, 1LL> kilo;
typedef ratio< 1000000LL, 1LL> mega;
typedef ratio< 1000000000LL, 1LL> giga;
typedef ratio< 1000000000000LL, 1LL> tera;
typedef ratio< 1000000000000000LL, 1LL> peta;
typedef ratio<1000000000000000000LL, 1LL> exa;

template <class _R1, class _R2>
struct __ratio_multiply
{
private:
    static const intmax_t __gcd_n1_d2 = __static_gcd<_R1::num, _R2::den>::value;
    static const intmax_t __gcd_d1_n2 = __static_gcd<_R1::den, _R2::num>::value;
public:
    typedef typename ratio
        <
            __ll_mul<_R1::num / __gcd_n1_d2, _R2::num / __gcd_d1_n2>::value,
            __ll_mul<_R2::den / __gcd_n1_d2, _R1::den / __gcd_d1_n2>::value
        >::type type;
};



template <class _R1, class _R2> using ratio_multiply
                                    = typename __ratio_multiply<_R1, _R2>::type;
# 318 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 3
template <class _R1, class _R2>
struct __ratio_divide
{
private:
    static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value;
    static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value;
public:
    typedef typename ratio
        <
            __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value,
            __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value
        >::type type;
};



template <class _R1, class _R2> using ratio_divide
                                      = typename __ratio_divide<_R1, _R2>::type;
# 345 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 3
template <class _R1, class _R2>
struct __ratio_add
{
private:
    static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value;
    static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value;
public:
    typedef typename ratio_multiply
        <
            ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>,
            ratio
            <
                __ll_add
                <
                    __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value,
                    __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value
                >::value,
                _R2::den
            >
        >::type type;
};



template <class _R1, class _R2> using ratio_add
                                         = typename __ratio_add<_R1, _R2>::type;
# 380 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 3
template <class _R1, class _R2>
struct __ratio_subtract
{
private:
    static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value;
    static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value;
public:
    typedef typename ratio_multiply
        <
            ratio<__gcd_n1_n2, _R1::den / __gcd_d1_d2>,
            ratio
            <
                __ll_sub
                <
                    __ll_mul<_R1::num / __gcd_n1_n2, _R2::den / __gcd_d1_d2>::value,
                    __ll_mul<_R2::num / __gcd_n1_n2, _R1::den / __gcd_d1_d2>::value
                >::value,
                _R2::den
            >
        >::type type;
};



template <class _R1, class _R2> using ratio_subtract
                                    = typename __ratio_subtract<_R1, _R2>::type;
# 417 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/ratio" 3
template <class _R1, class _R2>
struct __attribute__ ((__type_visibility__("default"))) ratio_equal
    : public bool_constant<((_R1::num == _R2::num && _R1::den == _R2::den))> {};

template <class _R1, class _R2>
struct __attribute__ ((__type_visibility__("default"))) ratio_not_equal
    : public bool_constant<((!ratio_equal<_R1, _R2>::value))> {};



template <class _R1, class _R2, bool _Odd = false,
          intmax_t _Q1 = _R1::num / _R1::den, intmax_t _M1 = _R1::num % _R1::den,
          intmax_t _Q2 = _R2::num / _R2::den, intmax_t _M2 = _R2::num % _R2::den>
struct __ratio_less1
{
    static const bool value = _Odd ? _Q2 < _Q1 : _Q1 < _Q2;
};

template <class _R1, class _R2, bool _Odd, intmax_t _Qp>
struct __ratio_less1<_R1, _R2, _Odd, _Qp, 0, _Qp, 0>
{
    static const bool value = false;
};

template <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M2>
struct __ratio_less1<_R1, _R2, _Odd, _Qp, 0, _Qp, _M2>
{
    static const bool value = !_Odd;
};

template <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M1>
struct __ratio_less1<_R1, _R2, _Odd, _Qp, _M1, _Qp, 0>
{
    static const bool value = _Odd;
};

template <class _R1, class _R2, bool _Odd, intmax_t _Qp, intmax_t _M1,
                                                        intmax_t _M2>
struct __ratio_less1<_R1, _R2, _Odd, _Qp, _M1, _Qp, _M2>
{
    static const bool value = __ratio_less1<ratio<_R1::den, _M1>,
                                            ratio<_R2::den, _M2>, !_Odd>::value;
};

template <class _R1, class _R2, intmax_t _S1 = __static_sign<_R1::num>::value,
                                intmax_t _S2 = __static_sign<_R2::num>::value>
struct __ratio_less
{
    static const bool value = _S1 < _S2;
};

template <class _R1, class _R2>
struct __ratio_less<_R1, _R2, 1LL, 1LL>
{
    static const bool value = __ratio_less1<_R1, _R2>::value;
};

template <class _R1, class _R2>
struct __ratio_less<_R1, _R2, -1LL, -1LL>
{
    static const bool value = __ratio_less1<ratio<-_R2::num, _R2::den>, ratio<-_R1::num, _R1::den> >::value;
};

template <class _R1, class _R2>
struct __attribute__ ((__type_visibility__("default"))) ratio_less
    : public bool_constant<((__ratio_less<_R1, _R2>::value))> {};

template <class _R1, class _R2>
struct __attribute__ ((__type_visibility__("default"))) ratio_less_equal
    : public bool_constant<((!ratio_less<_R2, _R1>::value))> {};

template <class _R1, class _R2>
struct __attribute__ ((__type_visibility__("default"))) ratio_greater
    : public bool_constant<((ratio_less<_R2, _R1>::value))> {};

template <class _R1, class _R2>
struct __attribute__ ((__type_visibility__("default"))) ratio_greater_equal
    : public bool_constant<((!ratio_less<_R1, _R2>::value))> {};

template <class _R1, class _R2>
struct __ratio_gcd
{
    typedef ratio<__static_gcd<_R1::num, _R2::num>::value,
                  __static_lcm<_R1::den, _R2::den>::value> type;
};


template <class _R1, class _R2>
inline constexpr bool ratio_equal_v
    = ratio_equal<_R1, _R2>::value;

template <class _R1, class _R2>
inline constexpr bool ratio_not_equal_v
    = ratio_not_equal<_R1, _R2>::value;

template <class _R1, class _R2>
inline constexpr bool ratio_less_v
    = ratio_less<_R1, _R2>::value;

template <class _R1, class _R2>
inline constexpr bool ratio_less_equal_v
    = ratio_less_equal<_R1, _R2>::value;

template <class _R1, class _R2>
inline constexpr bool ratio_greater_v
    = ratio_greater<_R1, _R2>::value;

template <class _R1, class _R2>
inline constexpr bool ratio_greater_equal_v
    = ratio_greater_equal<_R1, _R2>::value;


} }
# 801 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/chrono" 2 3
# 806 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/chrono" 3



# 1 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/__undef_macros" 1 3
# 810 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/chrono" 2 3


namespace std { inline namespace __1 { inline namespace __fs { namespace filesystem {
struct _FilesystemClock;
} } } }


namespace std { inline namespace __1 {

namespace chrono
{

template <class _Rep, class _Period = ratio<1> > class __attribute__ ((__type_visibility__("default"))) duration;

template <class _Tp>
struct __is_duration : false_type {};

template <class _Rep, class _Period>
struct __is_duration<duration<_Rep, _Period> > : true_type {};

template <class _Rep, class _Period>
struct __is_duration<const duration<_Rep, _Period> > : true_type {};

template <class _Rep, class _Period>
struct __is_duration<volatile duration<_Rep, _Period> > : true_type {};

template <class _Rep, class _Period>
struct __is_duration<const volatile duration<_Rep, _Period> > : true_type {};

}

template <class _Rep1, class _Period1, class _Rep2, class _Period2>
struct __attribute__ ((__type_visibility__("default"))) common_type<chrono::duration<_Rep1, _Period1>,
                                         chrono::duration<_Rep2, _Period2> >
{
    typedef chrono::duration<typename common_type<_Rep1, _Rep2>::type,
                             typename __ratio_gcd<_Period1, _Period2>::type> type;
};

namespace chrono {



template <class _FromDuration, class _ToDuration,
          class _Period = typename ratio_divide<typename _FromDuration::period, typename _ToDuration::period>::type,
          bool = _Period::num == 1,
          bool = _Period::den == 1>
struct __duration_cast;

template <class _FromDuration, class _ToDuration, class _Period>
struct __duration_cast<_FromDuration, _ToDuration, _Period, true, true>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    _ToDuration operator()(const _FromDuration& __fd) const
    {
        return _ToDuration(static_cast<typename _ToDuration::rep>(__fd.count()));
    }
};

template <class _FromDuration, class _ToDuration, class _Period>
struct __duration_cast<_FromDuration, _ToDuration, _Period, true, false>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    _ToDuration operator()(const _FromDuration& __fd) const
    {
        typedef typename common_type<typename _ToDuration::rep, typename _FromDuration::rep, intmax_t>::type _Ct;
        return _ToDuration(static_cast<typename _ToDuration::rep>(
                           static_cast<_Ct>(__fd.count()) / static_cast<_Ct>(_Period::den)));
    }
};

template <class _FromDuration, class _ToDuration, class _Period>
struct __duration_cast<_FromDuration, _ToDuration, _Period, false, true>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    _ToDuration operator()(const _FromDuration& __fd) const
    {
        typedef typename common_type<typename _ToDuration::rep, typename _FromDuration::rep, intmax_t>::type _Ct;
        return _ToDuration(static_cast<typename _ToDuration::rep>(
                           static_cast<_Ct>(__fd.count()) * static_cast<_Ct>(_Period::num)));
    }
};

template <class _FromDuration, class _ToDuration, class _Period>
struct __duration_cast<_FromDuration, _ToDuration, _Period, false, false>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    _ToDuration operator()(const _FromDuration& __fd) const
    {
        typedef typename common_type<typename _ToDuration::rep, typename _FromDuration::rep, intmax_t>::type _Ct;
        return _ToDuration(static_cast<typename _ToDuration::rep>(
                           static_cast<_Ct>(__fd.count()) * static_cast<_Ct>(_Period::num)
                                                          / static_cast<_Ct>(_Period::den)));
    }
};

template <class _ToDuration, class _Rep, class _Period>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr
typename enable_if
<
    __is_duration<_ToDuration>::value,
    _ToDuration
>::type
duration_cast(const duration<_Rep, _Period>& __fd)
{
    return __duration_cast<duration<_Rep, _Period>, _ToDuration>()(__fd);
}

template <class _Rep>
struct __attribute__ ((__type_visibility__("default"))) treat_as_floating_point : is_floating_point<_Rep> {};


template <class _Rep>
inline constexpr bool treat_as_floating_point_v
    = treat_as_floating_point<_Rep>::value;


template <class _Rep>
struct __attribute__ ((__type_visibility__("default"))) duration_values
{
public:
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr _Rep zero() noexcept {return _Rep(0);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr _Rep max() noexcept {return numeric_limits<_Rep>::max();}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr _Rep min() noexcept {return numeric_limits<_Rep>::lowest();}
};


template <class _ToDuration, class _Rep, class _Period>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if
<
    __is_duration<_ToDuration>::value,
    _ToDuration
>::type
floor(const duration<_Rep, _Period>& __d)
{
    _ToDuration __t = duration_cast<_ToDuration>(__d);
    if (__t > __d)
        __t = __t - _ToDuration{1};
    return __t;
}

template <class _ToDuration, class _Rep, class _Period>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if
<
    __is_duration<_ToDuration>::value,
    _ToDuration
>::type
ceil(const duration<_Rep, _Period>& __d)
{
    _ToDuration __t = duration_cast<_ToDuration>(__d);
    if (__t < __d)
        __t = __t + _ToDuration{1};
    return __t;
}

template <class _ToDuration, class _Rep, class _Period>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
typename enable_if
<
    __is_duration<_ToDuration>::value,
    _ToDuration
>::type
round(const duration<_Rep, _Period>& __d)
{
    _ToDuration __lower = floor<_ToDuration>(__d);
    _ToDuration __upper = __lower + _ToDuration{1};
    auto __lowerDiff = __d - __lower;
    auto __upperDiff = __upper - __d;
    if (__lowerDiff < __upperDiff)
        return __lower;
    if (__lowerDiff > __upperDiff)
        return __upper;
    return __lower.count() & 1 ? __upper : __lower;
}




template <class _Rep, class _Period>
class __attribute__ ((__type_visibility__("default"))) duration
{
    static_assert(!__is_duration<_Rep>::value, "A duration representation can not be a duration");
    static_assert(__is_ratio<_Period>::value, "Second template parameter of duration must be a std::ratio");
    static_assert(_Period::num > 0, "duration period must be positive");

    template <class _R1, class _R2>
    struct __no_overflow
    {
    private:
        static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value;
        static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value;
        static const intmax_t __n1 = _R1::num / __gcd_n1_n2;
        static const intmax_t __d1 = _R1::den / __gcd_d1_d2;
        static const intmax_t __n2 = _R2::num / __gcd_n1_n2;
        static const intmax_t __d2 = _R2::den / __gcd_d1_d2;
        static const intmax_t max = -((intmax_t(1) << (sizeof(intmax_t) * 8 - 1)) + 1);

        template <intmax_t _Xp, intmax_t _Yp, bool __overflow>
        struct __mul
        {
            static const intmax_t value = _Xp * _Yp;
        };

        template <intmax_t _Xp, intmax_t _Yp>
        struct __mul<_Xp, _Yp, true>
        {
            static const intmax_t value = 1;
        };

    public:
        static const bool value = (__n1 <= max / __d2) && (__n2 <= max / __d1);
        typedef ratio<__mul<__n1, __d2, !value>::value,
                      __mul<__n2, __d1, !value>::value> type;
    };

public:
    typedef _Rep rep;
    typedef typename _Period::type period;
private:
    rep __rep_;
public:

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr

        duration() = default;




    template <class _Rep2>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        explicit duration(const _Rep2& __r,
            typename enable_if
            <
               is_convertible<_Rep2, rep>::value &&
               (treat_as_floating_point<rep>::value ||
               !treat_as_floating_point<_Rep2>::value)
            >::type* = 0)
                : __rep_(__r) {}


    template <class _Rep2, class _Period2>
        __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
        duration(const duration<_Rep2, _Period2>& __d,
            typename enable_if
            <
                __no_overflow<_Period2, period>::value && (
                treat_as_floating_point<rep>::value ||
                (__no_overflow<_Period2, period>::type::den == 1 &&
                 !treat_as_floating_point<_Rep2>::value))
            >::type* = 0)
                : __rep_(std::__1::chrono::duration_cast<duration>(__d).count()) {}



    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr rep count() const {return __rep_;}



    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr typename common_type<duration>::type operator+() const {return typename common_type<duration>::type(*this);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr typename common_type<duration>::type operator-() const {return typename common_type<duration>::type(-__rep_);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration& operator++() {++__rep_; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration operator++(int) {return duration(__rep_++);}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration& operator--() {--__rep_; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration operator--(int) {return duration(__rep_--);}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration& operator+=(const duration& __d) {__rep_ += __d.count(); return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration& operator-=(const duration& __d) {__rep_ -= __d.count(); return *this;}

    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration& operator*=(const rep& rhs) {__rep_ *= rhs; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration& operator/=(const rep& rhs) {__rep_ /= rhs; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration& operator%=(const rep& rhs) {__rep_ %= rhs; return *this;}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr duration& operator%=(const duration& rhs) {__rep_ %= rhs.count(); return *this;}



    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr duration zero() noexcept {return duration(duration_values<rep>::zero());}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr duration min() noexcept {return duration(duration_values<rep>::min());}
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) static constexpr duration max() noexcept {return duration(duration_values<rep>::max());}
};

typedef duration<long long, nano> nanoseconds;
typedef duration<long long, micro> microseconds;
typedef duration<long long, milli> milliseconds;
typedef duration<long long > seconds;
typedef duration< long, ratio< 60> > minutes;
typedef duration< long, ratio<3600> > hours;
# 1108 "/Applications/Xcode_11.1/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/../include/c++/v1/chrono" 3
template <class _LhsDuration, class _RhsDuration>
struct __duration_eq
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _LhsDuration& __lhs, const _RhsDuration& __rhs) const
        {
            typedef typename common_type<_LhsDuration, _RhsDuration>::type _Ct;
            return _Ct(__lhs).count() == _Ct(__rhs).count();
        }
};

template <class _LhsDuration>
struct __duration_eq<_LhsDuration, _LhsDuration>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _LhsDuration& __lhs, const _LhsDuration& __rhs) const
        {return __lhs.count() == __rhs.count();}
};

template <class _Rep1, class _Period1, class _Rep2, class _Period2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr
bool
operator==(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs)
{
    return __duration_eq<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >()(__lhs, __rhs);
}



template <class _Rep1, class _Period1, class _Rep2, class _Period2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr
bool
operator!=(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs)
{
    return !(__lhs == __rhs);
}



template <class _LhsDuration, class _RhsDuration>
struct __duration_lt
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _LhsDuration& __lhs, const _RhsDuration& __rhs) const
        {
            typedef typename common_type<_LhsDuration, _RhsDuration>::type _Ct;
            return _Ct(__lhs).count() < _Ct(__rhs).count();
        }
};

template <class _LhsDuration>
struct __duration_lt<_LhsDuration, _LhsDuration>
{
    __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage)) constexpr
    bool operator()(const _LhsDuration& __lhs, const _LhsDuration& __rhs) const
        {return __lhs.count() < __rhs.count();}
};

template <class _Rep1, class _Period1, class _Rep2, class _Period2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr
bool
operator< (const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs)
{
    return __duration_lt<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >()(__lhs, __rhs);
}



template <class _Rep1, class _Period1, class _Rep2, class _Period2>
inline __attribute__ ((__visibility__("hidden"))) __attribute__ ((internal_linkage))
constexpr
bool
operator> (const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _P