namespace std
{
  typedef long unsigned int size_t;
  typedef long int ptrdiff_t;
  typedef decltype(nullptr) nullptr_t;
}
namespace std __attribute__ ((__visibility__ ("default")))
{

  void
  __throw_bad_exception(void) __attribute__((__noreturn__));
  void
  __throw_bad_alloc(void) __attribute__((__noreturn__));
  void
  __throw_bad_cast(void) __attribute__((__noreturn__));
  void
  __throw_bad_typeid(void) __attribute__((__noreturn__));
  void
  __throw_logic_error(const char*) __attribute__((__noreturn__));
  void
  __throw_domain_error(const char*) __attribute__((__noreturn__));
  void
  __throw_invalid_argument(const char*) __attribute__((__noreturn__));
  void
  __throw_length_error(const char*) __attribute__((__noreturn__));
  void
  __throw_out_of_range(const char*) __attribute__((__noreturn__));
  void
  __throw_runtime_error(const char*) __attribute__((__noreturn__));
  void
  __throw_range_error(const char*) __attribute__((__noreturn__));
  void
  __throw_overflow_error(const char*) __attribute__((__noreturn__));
  void
  __throw_underflow_error(const char*) __attribute__((__noreturn__));
  void
  __throw_ios_failure(const char*) __attribute__((__noreturn__));
  void
  __throw_system_error(int) __attribute__((__noreturn__));
  void
  __throw_future_error(int) __attribute__((__noreturn__));
  void
  __throw_bad_function_call() __attribute__((__noreturn__));

}
       
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

  template<typename _Iterator, typename _Container>
    class __normal_iterator;

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  struct __true_type { };
  struct __false_type { };
  template<bool>
    struct __truth_type
    { typedef __false_type __type; };
  template<>
    struct __truth_type<true>
    { typedef __true_type __type; };
  template<class _Sp, class _Tp>
    struct __traitor
    {
      enum { __value = bool(_Sp::__value) || bool(_Tp::__value) };
      typedef typename __truth_type<__value>::__type __type;
    };
  template<typename, typename>
    struct __are_same
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };
  template<typename _Tp>
    struct __are_same<_Tp, _Tp>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<typename _Tp>
    struct __is_void
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };
  template<>
    struct __is_void<void>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<typename _Tp>
    struct __is_integer
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };
  template<>
    struct __is_integer<bool>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<signed char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<unsigned char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<char16_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<char32_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<short>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<unsigned short>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<int>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<unsigned int>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<unsigned long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_integer<unsigned long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<typename _Tp>
    struct __is_floating
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };
  template<>
    struct __is_floating<float>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_floating<double>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_floating<long double>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<typename _Tp>
    struct __is_pointer
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };
  template<typename _Tp>
    struct __is_pointer<_Tp*>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<typename _Tp>
    struct __is_normal_iterator
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };
  template<typename _Iterator, typename _Container>
    struct __is_normal_iterator< __gnu_cxx::__normal_iterator<_Iterator,
             _Container> >
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<typename _Tp>
    struct __is_arithmetic
    : public __traitor<__is_integer<_Tp>, __is_floating<_Tp> >
    { };
  template<typename _Tp>
    struct __is_fundamental
    : public __traitor<__is_void<_Tp>, __is_arithmetic<_Tp> >
    { };
  template<typename _Tp>
    struct __is_scalar
    : public __traitor<__is_arithmetic<_Tp>, __is_pointer<_Tp> >
    { };
  template<typename _Tp>
    struct __is_char
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };
  template<>
    struct __is_char<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_char<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<typename _Tp>
    struct __is_byte
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };
  template<>
    struct __is_byte<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_byte<signed char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<>
    struct __is_byte<unsigned char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
  template<typename _Tp>
    struct __is_move_iterator
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };
  template<typename _Iterator>
    class move_iterator;
  template<typename _Iterator>
    struct __is_move_iterator< move_iterator<_Iterator> >
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

}
       
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

  template<bool, typename>
    struct __enable_if
    { };
  template<typename _Tp>
    struct __enable_if<true, _Tp>
    { typedef _Tp __type; };
  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct __conditional_type
    { typedef _Iftrue __type; };
  template<typename _Iftrue, typename _Iffalse>
    struct __conditional_type<false, _Iftrue, _Iffalse>
    { typedef _Iffalse __type; };
  template<typename _Tp>
    struct __add_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;
    public:
      typedef typename __if_type::__type __type;
    };
  template<>
    struct __add_unsigned<char>
    { typedef unsigned char __type; };
  template<>
    struct __add_unsigned<signed char>
    { typedef unsigned char __type; };
  template<>
    struct __add_unsigned<short>
    { typedef unsigned short __type; };
  template<>
    struct __add_unsigned<int>
    { typedef unsigned int __type; };
  template<>
    struct __add_unsigned<long>
    { typedef unsigned long __type; };
  template<>
    struct __add_unsigned<long long>
    { typedef unsigned long long __type; };
  template<>
    struct __add_unsigned<bool>;
  template<>
    struct __add_unsigned<wchar_t>;
  template<typename _Tp>
    struct __remove_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;
    public:
      typedef typename __if_type::__type __type;
    };
  template<>
    struct __remove_unsigned<char>
    { typedef signed char __type; };
  template<>
    struct __remove_unsigned<unsigned char>
    { typedef signed char __type; };
  template<>
    struct __remove_unsigned<unsigned short>
    { typedef short __type; };
  template<>
    struct __remove_unsigned<unsigned int>
    { typedef int __type; };
  template<>
    struct __remove_unsigned<unsigned long>
    { typedef long __type; };
  template<>
    struct __remove_unsigned<unsigned long long>
    { typedef long long __type; };
  template<>
    struct __remove_unsigned<bool>;
  template<>
    struct __remove_unsigned<wchar_t>;
  template<typename _Type>
    inline bool
    __is_null_pointer(_Type* __ptr)
    { return __ptr == 0; }
  template<typename _Type>
    inline bool
    __is_null_pointer(_Type)
    { return false; }
  template<typename _Tp, bool = std::__is_integer<_Tp>::__value>
    struct __promote
    { typedef double __type; };
  template<typename _Tp>
    struct __promote<_Tp, false>
    { };
  template<>
    struct __promote<long double>
    { typedef long double __type; };
  template<>
    struct __promote<double>
    { typedef double __type; };
  template<>
    struct __promote<float>
    { typedef float __type; };
  template<typename _Tp, typename _Up,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type>
    struct __promote_2
    {
      typedef __typeof__(_Tp2() + _Up2()) __type;
    };
  template<typename _Tp, typename _Up, typename _Vp,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type,
           typename _Vp2 = typename __promote<_Vp>::__type>
    struct __promote_3
    {
      typedef __typeof__(_Tp2() + _Up2() + _Vp2()) __type;
    };
  template<typename _Tp, typename _Up, typename _Vp, typename _Wp,
           typename _Tp2 = typename __promote<_Tp>::__type,
           typename _Up2 = typename __promote<_Up>::__type,
           typename _Vp2 = typename __promote<_Vp>::__type,
           typename _Wp2 = typename __promote<_Wp>::__type>
    struct __promote_4
    {
      typedef __typeof__(_Tp2() + _Up2() + _Vp2() + _Wp2()) __type;
    };

}
       
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

  template<typename _Value>
    struct __numeric_traits_integer
    {
      static const _Value __min = (((_Value)(-1) < 0) ? (_Value)1 << (sizeof(_Value) * 8 - ((_Value)(-1) < 0)) : (_Value)0);
      static const _Value __max = (((_Value)(-1) < 0) ? (((((_Value)1 << ((sizeof(_Value) * 8 - ((_Value)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(_Value)0);
      static const bool __is_signed = ((_Value)(-1) < 0);
      static const int __digits = (sizeof(_Value) * 8 - ((_Value)(-1) < 0));
    };
  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__min;
  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__max;
  template<typename _Value>
    const bool __numeric_traits_integer<_Value>::__is_signed;
  template<typename _Value>
    const int __numeric_traits_integer<_Value>::__digits;
  template<typename _Value>
    struct __numeric_traits_floating
    {
      static const int __max_digits10 = (2 + (std::__are_same<_Value, float>::__value ? 24 : std::__are_same<_Value, double>::__value ? 53 : 64) * 643L / 2136);
      static const bool __is_signed = true;
      static const int __digits10 = (std::__are_same<_Value, float>::__value ? 6 : std::__are_same<_Value, double>::__value ? 15 : 18);
      static const int __max_exponent10 = (std::__are_same<_Value, float>::__value ? 38 : std::__are_same<_Value, double>::__value ? 308 : 4932);
    };
  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_digits10;
  template<typename _Value>
    const bool __numeric_traits_floating<_Value>::__is_signed;
  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__digits10;
  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_exponent10;
  template<typename _Value>
    struct __numeric_traits
    : public __conditional_type<std::__is_integer<_Value>::__value,
    __numeric_traits_integer<_Value>,
    __numeric_traits_floating<_Value> >::__type
    { };

}
       
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Tp>
    inline _Tp*
    __addressof(_Tp& __r) noexcept
    {
      return reinterpret_cast<_Tp*>
 (&const_cast<char&>(reinterpret_cast<const volatile char&>(__r)));
    }

}
       
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Tp, _Tp __v>
    struct integral_constant
    {
      static constexpr _Tp value = __v;
      typedef _Tp value_type;
      typedef integral_constant<_Tp, __v> type;
      constexpr operator value_type() { return value; }
    };
  typedef integral_constant<bool, true> true_type;
  typedef integral_constant<bool, false> false_type;
  template<typename _Tp, _Tp __v>
    constexpr _Tp integral_constant<_Tp, __v>::value;
  template<bool, typename, typename>
    struct conditional;
  template<typename...>
    struct __or_;
  template<>
    struct __or_<>
    : public false_type
    { };
  template<typename _B1>
    struct __or_<_B1>
    : public _B1
    { };
  template<typename _B1, typename _B2>
    struct __or_<_B1, _B2>
    : public conditional<_B1::value, _B1, _B2>::type
    { };
  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __or_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, _B1, __or_<_B2, _B3, _Bn...>>::type
    { };
  template<typename...>
    struct __and_;
  template<>
    struct __and_<>
    : public true_type
    { };
  template<typename _B1>
    struct __and_<_B1>
    : public _B1
    { };
  template<typename _B1, typename _B2>
    struct __and_<_B1, _B2>
    : public conditional<_B1::value, _B2, _B1>::type
    { };
  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __and_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, __and_<_B2, _B3, _Bn...>, _B1>::type
    { };
  template<typename _Pp>
    struct __not_
    : public integral_constant<bool, !_Pp::value>
    { };
  struct __sfinae_types
  {
    typedef char __one;
    typedef struct { char __arr[2]; } __two;
  };
  template<typename>
    struct remove_cv;
  template<typename>
    struct __is_void_helper
    : public false_type { };
  template<>
    struct __is_void_helper<void>
    : public true_type { };
  template<typename _Tp>
    struct is_void
    : public integral_constant<bool, (__is_void_helper<typename
          remove_cv<_Tp>::type>::value)>
    { };
  template<typename>
    struct __is_integral_helper
    : public false_type { };
  template<>
    struct __is_integral_helper<bool>
    : public true_type { };
  template<>
    struct __is_integral_helper<char>
    : public true_type { };
  template<>
    struct __is_integral_helper<signed char>
    : public true_type { };
  template<>
    struct __is_integral_helper<unsigned char>
    : public true_type { };
  template<>
    struct __is_integral_helper<wchar_t>
    : public true_type { };
  template<>
    struct __is_integral_helper<char16_t>
    : public true_type { };
  template<>
    struct __is_integral_helper<char32_t>
    : public true_type { };
  template<>
    struct __is_integral_helper<short>
    : public true_type { };
  template<>
    struct __is_integral_helper<unsigned short>
    : public true_type { };
  template<>
    struct __is_integral_helper<int>
    : public true_type { };
  template<>
    struct __is_integral_helper<unsigned int>
    : public true_type { };
  template<>
    struct __is_integral_helper<long>
    : public true_type { };
  template<>
    struct __is_integral_helper<unsigned long>
    : public true_type { };
  template<>
    struct __is_integral_helper<long long>
    : public true_type { };
  template<>
    struct __is_integral_helper<unsigned long long>
    : public true_type { };
  template<>
    struct __is_integral_helper<__int128>
    : public true_type { };
  template<>
    struct __is_integral_helper<unsigned __int128>
    : public true_type { };
  template<typename _Tp>
    struct is_integral
    : public integral_constant<bool, (__is_integral_helper<typename
          remove_cv<_Tp>::type>::value)>
    { };
  template<typename>
    struct __is_floating_point_helper
    : public false_type { };
  template<>
    struct __is_floating_point_helper<float>
    : public true_type { };
  template<>
    struct __is_floating_point_helper<double>
    : public true_type { };
  template<>
    struct __is_floating_point_helper<long double>
    : public true_type { };
  template<>
    struct __is_floating_point_helper<__float128>
    : public true_type { };
  template<typename _Tp>
    struct is_floating_point
    : public integral_constant<bool, (__is_floating_point_helper<typename
          remove_cv<_Tp>::type>::value)>
    { };
  template<typename>
    struct is_array
    : public false_type { };
  template<typename _Tp, std::size_t _Size>
    struct is_array<_Tp[_Size]>
    : public true_type { };
  template<typename _Tp>
    struct is_array<_Tp[]>
    : public true_type { };
  template<typename>
    struct __is_pointer_helper
    : public false_type { };
  template<typename _Tp>
    struct __is_pointer_helper<_Tp*>
    : public true_type { };
  template<typename _Tp>
    struct is_pointer
    : public integral_constant<bool, (__is_pointer_helper<typename
          remove_cv<_Tp>::type>::value)>
    { };
  template<typename>
    struct is_lvalue_reference
    : public false_type { };
  template<typename _Tp>
    struct is_lvalue_reference<_Tp&>
    : public true_type { };
  template<typename>
    struct is_rvalue_reference
    : public false_type { };
  template<typename _Tp>
    struct is_rvalue_reference<_Tp&&>
    : public true_type { };
  template<typename>
    struct is_function;
  template<typename>
    struct __is_member_object_pointer_helper
    : public false_type { };
  template<typename _Tp, typename _Cp>
    struct __is_member_object_pointer_helper<_Tp _Cp::*>
    : public integral_constant<bool, !is_function<_Tp>::value> { };
  template<typename _Tp>
    struct is_member_object_pointer
    : public integral_constant<bool, (__is_member_object_pointer_helper<
          typename remove_cv<_Tp>::type>::value)>
    { };
  template<typename>
    struct __is_member_function_pointer_helper
    : public false_type { };
  template<typename _Tp, typename _Cp>
    struct __is_member_function_pointer_helper<_Tp _Cp::*>
    : public integral_constant<bool, is_function<_Tp>::value> { };
  template<typename _Tp>
    struct is_member_function_pointer
    : public integral_constant<bool, (__is_member_function_pointer_helper<
          typename remove_cv<_Tp>::type>::value)>
    { };
  template<typename _Tp>
    struct is_enum
    : public integral_constant<bool, __is_enum(_Tp)>
    { };
  template<typename _Tp>
    struct is_union
    : public integral_constant<bool, __is_union(_Tp)>
    { };
  template<typename _Tp>
    struct is_class
    : public integral_constant<bool, __is_class(_Tp)>
    { };
  template<typename>
    struct is_function
    : public false_type { };
  template<typename _Res, typename... _ArgTypes>
    struct is_function<_Res(_ArgTypes...)>
    : public true_type { };
  template<typename _Res, typename... _ArgTypes>
    struct is_function<_Res(_ArgTypes......)>
    : public true_type { };
  template<typename _Res, typename... _ArgTypes>
    struct is_function<_Res(_ArgTypes...) const>
    : public true_type { };
  template<typename _Res, typename... _ArgTypes>
    struct is_function<_Res(_ArgTypes......) const>
    : public true_type { };
  template<typename _Res, typename... _ArgTypes>
    struct is_function<_Res(_ArgTypes...) volatile>
    : public true_type { };
  template<typename _Res, typename... _ArgTypes>
    struct is_function<_Res(_ArgTypes......) volatile>
    : public true_type { };
  template<typename _Res, typename... _ArgTypes>
    struct is_function<_Res(_ArgTypes...) const volatile>
    : public true_type { };
  template<typename _Res, typename... _ArgTypes>
    struct is_function<_Res(_ArgTypes......) const volatile>
    : public true_type { };
  template<typename>
    struct __is_nullptr_t_helper
    : public false_type { };
  template<>
    struct __is_nullptr_t_helper<std::nullptr_t>
    : public true_type { };
  template<typename _Tp>
    struct __is_nullptr_t
    : public integral_constant<bool, (__is_nullptr_t_helper<typename
          remove_cv<_Tp>::type>::value)>
    { };
  template<typename _Tp>
    struct is_reference
    : public __or_<is_lvalue_reference<_Tp>,
                   is_rvalue_reference<_Tp>>::type
    { };
  template<typename _Tp>
    struct is_arithmetic
    : public __or_<is_integral<_Tp>, is_floating_point<_Tp>>::type
    { };
  template<typename _Tp>
    struct is_fundamental
    : public __or_<is_arithmetic<_Tp>, is_void<_Tp>>::type
    { };
  template<typename _Tp>
    struct is_object
    : public __not_<__or_<is_function<_Tp>, is_reference<_Tp>,
                          is_void<_Tp>>>::type
    { };
  template<typename>
    struct is_member_pointer;
  template<typename _Tp>
    struct is_scalar
    : public __or_<is_arithmetic<_Tp>, is_enum<_Tp>, is_pointer<_Tp>,
                   is_member_pointer<_Tp>, __is_nullptr_t<_Tp>>::type
    { };
  template<typename _Tp>
    struct is_compound
    : public integral_constant<bool, !is_fundamental<_Tp>::value> { };
  template<typename _Tp>
    struct __is_member_pointer_helper
    : public false_type { };
  template<typename _Tp, typename _Cp>
    struct __is_member_pointer_helper<_Tp _Cp::*>
    : public true_type { };
  template<typename _Tp>
    struct is_member_pointer
    : public integral_constant<bool, (__is_member_pointer_helper<
          typename remove_cv<_Tp>::type>::value)>
    { };
  template<typename>
    struct is_const
    : public false_type { };
  template<typename _Tp>
    struct is_const<_Tp const>
    : public true_type { };
  template<typename>
    struct is_volatile
    : public false_type { };
  template<typename _Tp>
    struct is_volatile<_Tp volatile>
    : public true_type { };
  template<typename _Tp>
    struct is_trivial
    : public integral_constant<bool, __is_trivial(_Tp)>
    { };
  template<typename _Tp>
    struct is_standard_layout
    : public integral_constant<bool, __is_standard_layout(_Tp)>
    { };
  template<typename _Tp>
    struct is_pod
    : public integral_constant<bool, __is_pod(_Tp)>
    { };
  template<typename _Tp>
    struct is_literal_type
    : public integral_constant<bool, __is_literal_type(_Tp)>
    { };
  template<typename _Tp>
    struct is_empty
    : public integral_constant<bool, __is_empty(_Tp)>
    { };
  template<typename _Tp>
    struct is_polymorphic
    : public integral_constant<bool, __is_polymorphic(_Tp)>
    { };
  template<typename _Tp>
    struct is_abstract
    : public integral_constant<bool, __is_abstract(_Tp)>
    { };
  template<typename _Tp,
    bool = is_integral<_Tp>::value,
    bool = is_floating_point<_Tp>::value>
    struct __is_signed_helper
    : public false_type { };
  template<typename _Tp>
    struct __is_signed_helper<_Tp, false, true>
    : public true_type { };
  template<typename _Tp>
    struct __is_signed_helper<_Tp, true, false>
    : public integral_constant<bool, static_cast<bool>(_Tp(-1) < _Tp(0))>
    { };
  template<typename _Tp>
    struct is_signed
    : public integral_constant<bool, __is_signed_helper<_Tp>::value>
    { };
  template<typename _Tp>
    struct is_unsigned
    : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>::type
    { };
  template<typename>
    struct add_rvalue_reference;
  template<typename _Tp>
    typename add_rvalue_reference<_Tp>::type declval() noexcept;
  template<typename, unsigned = 0>
    struct extent;
  template<typename>
    struct remove_all_extents;
  template<typename _Tp>
    struct __is_array_known_bounds
    : public integral_constant<bool, (extent<_Tp>::value > 0)>
    { };
  template<typename _Tp>
    struct __is_array_unknown_bounds
    : public __and_<is_array<_Tp>, __not_<extent<_Tp>>>::type
    { };
  struct __do_is_destructible_impl_1
  {
    template<typename _Up>
      struct __w { _Up __u; };
    template<typename _Tp, typename
             = decltype(declval<__w<_Tp>&>().~__w<_Tp>())>
      static true_type __test(int);
    template<typename>
      static false_type __test(...);
  };
  template<typename _Tp>
    struct __is_destructible_impl_1
    : public __do_is_destructible_impl_1
    {
      typedef decltype(__test<_Tp>(0)) type;
    };
  struct __do_is_destructible_impl_2
  {
    template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())>
      static true_type __test(int);
    template<typename>
      static false_type __test(...);
  };
  template<typename _Tp>
    struct __is_destructible_impl_2
    : public __do_is_destructible_impl_2
    {
      typedef decltype(__test<_Tp>(0)) type;
    };
  template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_function<_Tp>>::value>
    struct __is_destructible_safe;
  template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, false>
    : public conditional<is_abstract<_Tp>::value,
    __is_destructible_impl_2<_Tp>,
                         __is_destructible_impl_1<_Tp>>::type::type
    { };
  template<typename _Tp>
    struct __is_destructible_safe<_Tp, true, false>
    : public false_type { };
  template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, true>
    : public true_type { };
  template<typename _Tp>
    struct is_destructible
    : public integral_constant<bool, (__is_destructible_safe<_Tp>::value)>
    { };
  struct __do_is_default_constructible_impl
  {
    template<typename _Tp, typename = decltype(_Tp())>
      static true_type __test(int);
    template<typename>
      static false_type __test(...);
  };
  template<typename _Tp>
    struct __is_default_constructible_impl
    : public __do_is_default_constructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };
  template<typename _Tp>
    struct __is_default_constructible_atom
    : public __and_<__not_<is_void<_Tp>>,
                    __is_default_constructible_impl<_Tp>>::type
    { };
  template<typename _Tp, bool = is_array<_Tp>::value>
    struct __is_default_constructible_safe;
  template<typename _Tp>
    struct __is_default_constructible_safe<_Tp, true>
    : public __and_<__is_array_known_bounds<_Tp>,
      __is_default_constructible_atom<typename
                      remove_all_extents<_Tp>::type>>::type
    { };
  template<typename _Tp>
    struct __is_default_constructible_safe<_Tp, false>
    : public __is_default_constructible_atom<_Tp>::type
    { };
  template<typename _Tp>
    struct is_default_constructible
    : public integral_constant<bool, (__is_default_constructible_safe<
          _Tp>::value)>
    { };
  struct __do_is_static_castable_impl
  {
    template<typename _From, typename _To, typename
             = decltype(static_cast<_To>(declval<_From>()))>
      static true_type __test(int);
    template<typename, typename>
      static false_type __test(...);
  };
  template<typename _From, typename _To>
    struct __is_static_castable_impl
    : public __do_is_static_castable_impl
    {
      typedef decltype(__test<_From, _To>(0)) type;
    };
  template<typename _From, typename _To>
    struct __is_static_castable_safe
    : public __is_static_castable_impl<_From, _To>::type
    { };
  template<typename _From, typename _To>
    struct __is_static_castable
    : public integral_constant<bool, (__is_static_castable_safe<
          _From, _To>::value)>
    { };
  struct __do_is_direct_constructible_impl
  {
    template<typename _Tp, typename _Arg, typename
      = decltype(::new _Tp(declval<_Arg>()))>
      static true_type __test(int);
    template<typename, typename>
      static false_type __test(...);
  };
  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_impl
    : public __do_is_direct_constructible_impl
    {
      typedef decltype(__test<_Tp, _Arg>(0)) type;
    };
  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_new_safe
    : public __and_<is_destructible<_Tp>,
                    __is_direct_constructible_impl<_Tp, _Arg>>::type
    { };
  template<typename, typename>
    struct is_same;
  template<typename, typename>
    struct is_base_of;
  template<typename>
    struct remove_reference;
  template<typename _From, typename _To, bool
           = __not_<__or_<is_void<_From>,
                          is_function<_From>>>::value>
    struct __is_base_to_derived_ref;
  template<typename _From, typename _To>
    struct __is_base_to_derived_ref<_From, _To, true>
    {
      typedef typename remove_cv<typename remove_reference<_From
        >::type>::type __src_t;
      typedef typename remove_cv<typename remove_reference<_To
        >::type>::type __dst_t;
      typedef __and_<__not_<is_same<__src_t, __dst_t>>,
       is_base_of<__src_t, __dst_t>> type;
      static constexpr bool value = type::value;
    };
  template<typename _From, typename _To>
    struct __is_base_to_derived_ref<_From, _To, false>
    : public false_type
    { };
  template<typename _From, typename _To, bool
           = __and_<is_lvalue_reference<_From>,
                    is_rvalue_reference<_To>>::value>
    struct __is_lvalue_to_rvalue_ref;
  template<typename _From, typename _To>
    struct __is_lvalue_to_rvalue_ref<_From, _To, true>
    {
      typedef typename remove_cv<typename remove_reference<
        _From>::type>::type __src_t;
      typedef typename remove_cv<typename remove_reference<
        _To>::type>::type __dst_t;
      typedef __and_<__not_<is_function<__src_t>>,
        __or_<is_same<__src_t, __dst_t>,
      is_base_of<__dst_t, __src_t>>> type;
      static constexpr bool value = type::value;
    };
  template<typename _From, typename _To>
    struct __is_lvalue_to_rvalue_ref<_From, _To, false>
    : public false_type
    { };
  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_ref_cast
    : public __and_<__is_static_castable<_Arg, _Tp>,
                    __not_<__or_<__is_base_to_derived_ref<_Arg, _Tp>,
                                 __is_lvalue_to_rvalue_ref<_Arg, _Tp>
                   >>>::type
    { };
  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible_new
    : public conditional<is_reference<_Tp>::value,
    __is_direct_constructible_ref_cast<_Tp, _Arg>,
    __is_direct_constructible_new_safe<_Tp, _Arg>
    >::type
    { };
  template<typename _Tp, typename _Arg>
    struct __is_direct_constructible
    : public integral_constant<bool, (__is_direct_constructible_new<
          _Tp, _Arg>::value)>
    { };
  struct __do_is_nary_constructible_impl
  {
    template<typename _Tp, typename... _Args, typename
             = decltype(_Tp(declval<_Args>()...))>
      static true_type __test(int);
    template<typename, typename...>
      static false_type __test(...);
  };
  template<typename _Tp, typename... _Args>
    struct __is_nary_constructible_impl
    : public __do_is_nary_constructible_impl
    {
      typedef decltype(__test<_Tp, _Args...>(0)) type;
    };
  template<typename _Tp, typename... _Args>
    struct __is_nary_constructible
    : public __is_nary_constructible_impl<_Tp, _Args...>::type
    {
      static_assert(sizeof...(_Args) > 1,
                    "Only useful for > 1 arguments");
    };
  template<typename _Tp, typename... _Args>
    struct __is_constructible_impl
    : public __is_nary_constructible<_Tp, _Args...>
    { };
  template<typename _Tp, typename _Arg>
    struct __is_constructible_impl<_Tp, _Arg>
    : public __is_direct_constructible<_Tp, _Arg>
    { };
  template<typename _Tp>
    struct __is_constructible_impl<_Tp>
    : public is_default_constructible<_Tp>
    { };
  template<typename _Tp, typename... _Args>
    struct is_constructible
    : public integral_constant<bool, (__is_constructible_impl<_Tp,
          _Args...>::value)>
    { };
  template<typename _Tp, bool = is_void<_Tp>::value>
    struct __is_copy_constructible_impl;
  template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, true>
    : public false_type { };
  template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, false>
    : public is_constructible<_Tp, const _Tp&>
    { };
  template<typename _Tp>
    struct is_copy_constructible
    : public __is_copy_constructible_impl<_Tp>
    { };
  template<typename _Tp, bool = is_void<_Tp>::value>
    struct __is_move_constructible_impl;
  template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, true>
    : public false_type { };
  template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, false>
    : public is_constructible<_Tp, _Tp&&>
    { };
  template<typename _Tp>
    struct is_move_constructible
    : public __is_move_constructible_impl<_Tp>
    { };
  template<typename _Tp>
    struct __is_nt_default_constructible_atom
    : public integral_constant<bool, noexcept(_Tp())>
    { };
  template<typename _Tp, bool = is_array<_Tp>::value>
    struct __is_nt_default_constructible_impl;
  template<typename _Tp>
    struct __is_nt_default_constructible_impl<_Tp, true>
    : public __and_<__is_array_known_bounds<_Tp>,
      __is_nt_default_constructible_atom<typename
                      remove_all_extents<_Tp>::type>>::type
    { };
  template<typename _Tp>
    struct __is_nt_default_constructible_impl<_Tp, false>
    : public __is_nt_default_constructible_atom<_Tp>
    { };
  template<typename _Tp>
    struct is_nothrow_default_constructible
    : public __and_<is_default_constructible<_Tp>,
                    __is_nt_default_constructible_impl<_Tp>>::type
    { };
  template<typename _Tp, typename... _Args>
    struct __is_nt_constructible_impl
    : public integral_constant<bool, noexcept(_Tp(declval<_Args>()...))>
    { };
  template<typename _Tp, typename _Arg>
    struct __is_nt_constructible_impl<_Tp, _Arg>
    : public integral_constant<bool,
                               noexcept(static_cast<_Tp>(declval<_Arg>()))>
    { };
  template<typename _Tp>
    struct __is_nt_constructible_impl<_Tp>
    : public is_nothrow_default_constructible<_Tp>
    { };
  template<typename _Tp, typename... _Args>
    struct is_nothrow_constructible
    : public __and_<is_constructible<_Tp, _Args...>,
      __is_nt_constructible_impl<_Tp, _Args...>>::type
    { };
  template<typename _Tp, bool = is_void<_Tp>::value>
    struct __is_nothrow_copy_constructible_impl;
  template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, true>
    : public false_type { };
  template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, false>
    : public is_nothrow_constructible<_Tp, const _Tp&>
    { };
  template<typename _Tp>
    struct is_nothrow_copy_constructible
    : public __is_nothrow_copy_constructible_impl<_Tp>
    { };
  template<typename _Tp, bool = is_void<_Tp>::value>
    struct __is_nothrow_move_constructible_impl;
  template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, true>
    : public false_type { };
  template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, false>
    : public is_nothrow_constructible<_Tp, _Tp&&>
    { };
  template<typename _Tp>
    struct is_nothrow_move_constructible
    : public __is_nothrow_move_constructible_impl<_Tp>
    { };
  template<typename _Tp, typename _Up>
    class __is_assignable_helper
    : public __sfinae_types
    {
      template<typename _Tp1, typename _Up1>
        static decltype(declval<_Tp1>() = declval<_Up1>(), __one())
 __test(int);
      template<typename, typename>
        static __two __test(...);
    public:
      static constexpr bool value = sizeof(__test<_Tp, _Up>(0)) == 1;
    };
  template<typename _Tp, typename _Up>
    struct is_assignable
    : public integral_constant<bool,
                               __is_assignable_helper<_Tp, _Up>::value>
    { };
  template<typename _Tp, bool = is_void<_Tp>::value>
    struct __is_copy_assignable_impl;
  template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, true>
    : public false_type { };
  template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, false>
    : public is_assignable<_Tp&, const _Tp&>
    { };
  template<typename _Tp>
    struct is_copy_assignable
    : public __is_copy_assignable_impl<_Tp>
    { };
  template<typename _Tp, bool = is_void<_Tp>::value>
    struct __is_move_assignable_impl;
  template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, true>
    : public false_type { };
  template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, false>
    : public is_assignable<_Tp&, _Tp&&>
    { };
  template<typename _Tp>
    struct is_move_assignable
    : public __is_move_assignable_impl<_Tp>
    { };
  template<typename _Tp, typename _Up>
    struct __is_nt_assignable_impl
    : public integral_constant<bool, noexcept(declval<_Tp>() = declval<_Up>())>
    { };
  template<typename _Tp, typename _Up>
    struct is_nothrow_assignable
    : public __and_<is_assignable<_Tp, _Up>,
      __is_nt_assignable_impl<_Tp, _Up>>::type
    { };
  template<typename _Tp, bool = is_void<_Tp>::value>
    struct __is_nt_copy_assignable_impl;
  template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, true>
    : public false_type { };
  template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, false>
    : public is_nothrow_assignable<_Tp&, const _Tp&>
    { };
  template<typename _Tp>
    struct is_nothrow_copy_assignable
    : public __is_nt_copy_assignable_impl<_Tp>
    { };
  template<typename _Tp, bool = is_void<_Tp>::value>
    struct __is_nt_move_assignable_impl;
  template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, true>
    : public false_type { };
  template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, false>
    : public is_nothrow_assignable<_Tp&, _Tp&&>
    { };
  template<typename _Tp>
    struct is_nothrow_move_assignable
    : public __is_nt_move_assignable_impl<_Tp>
    { };
  template<typename _Tp>
    struct has_trivial_default_constructor
    : public integral_constant<bool, __has_trivial_constructor(_Tp)>
    { };
  template<typename _Tp>
    struct has_trivial_copy_constructor
    : public integral_constant<bool, __has_trivial_copy(_Tp)>
    { };
  template<typename _Tp>
    struct has_trivial_copy_assign
    : public integral_constant<bool, __has_trivial_assign(_Tp)>
    { };
  template<typename _Tp>
    struct has_trivial_destructor
    : public integral_constant<bool, __has_trivial_destructor(_Tp)>
    { };
  template<typename _Tp>
    struct has_virtual_destructor
    : public integral_constant<bool, __has_virtual_destructor(_Tp)>
    { };
  template<typename _Tp>
    struct alignment_of
    : public integral_constant<std::size_t, __alignof__(_Tp)> { };
  template<typename>
    struct rank
    : public integral_constant<std::size_t, 0> { };
  template<typename _Tp, std::size_t _Size>
    struct rank<_Tp[_Size]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
  template<typename _Tp>
    struct rank<_Tp[]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
  template<typename, unsigned _Uint>
    struct extent
    : public integral_constant<std::size_t, 0> { };
  template<typename _Tp, unsigned _Uint, std::size_t _Size>
    struct extent<_Tp[_Size], _Uint>
    : public integral_constant<std::size_t,
          _Uint == 0 ? _Size : extent<_Tp,
          _Uint - 1>::value>
    { };
  template<typename _Tp, unsigned _Uint>
    struct extent<_Tp[], _Uint>
    : public integral_constant<std::size_t,
          _Uint == 0 ? 0 : extent<_Tp,
             _Uint - 1>::value>
    { };
  template<typename, typename>
    struct is_same
    : public false_type { };
  template<typename _Tp>
    struct is_same<_Tp, _Tp>
    : public true_type { };
  template<typename _Base, typename _Derived>
    struct is_base_of
    : public integral_constant<bool, __is_base_of(_Base, _Derived)>
    { };
  template<typename _From, typename _To,
           bool = __or_<is_void<_From>, is_function<_To>,
                        is_array<_To>>::value>
    struct __is_convertible_helper
    { static constexpr bool value = is_void<_To>::value; };
  template<typename _From, typename _To>
    class __is_convertible_helper<_From, _To, false>
    : public __sfinae_types
    {
      template<typename _To1>
        static void __test_aux(_To1);
      template<typename _From1, typename _To1>
        static decltype(__test_aux<_To1>(std::declval<_From1>()), __one())
 __test(int);
      template<typename, typename>
        static __two __test(...);
    public:
      static constexpr bool value = sizeof(__test<_From, _To>(0)) == 1;
    };
  template<typename _From, typename _To>
    struct is_convertible
    : public integral_constant<bool,
          __is_convertible_helper<_From, _To>::value>
    { };
  template<typename _From, typename _To>
    struct is_explicitly_convertible
    : public is_constructible<_To, _From>
    { };
  template<typename _Tp>
    struct remove_const
    { typedef _Tp type; };
  template<typename _Tp>
    struct remove_const<_Tp const>
    { typedef _Tp type; };
  template<typename _Tp>
    struct remove_volatile
    { typedef _Tp type; };
  template<typename _Tp>
    struct remove_volatile<_Tp volatile>
    { typedef _Tp type; };
  template<typename _Tp>
    struct remove_cv
    {
      typedef typename
      remove_const<typename remove_volatile<_Tp>::type>::type type;
    };
  template<typename _Tp>
    struct add_const
    { typedef _Tp const type; };
  template<typename _Tp>
    struct add_volatile
    { typedef _Tp volatile type; };
  template<typename _Tp>
    struct add_cv
    {
      typedef typename
      add_const<typename add_volatile<_Tp>::type>::type type;
    };
  template<typename _Tp>
    struct remove_reference
    { typedef _Tp type; };
  template<typename _Tp>
    struct remove_reference<_Tp&>
    { typedef _Tp type; };
  template<typename _Tp>
    struct remove_reference<_Tp&&>
    { typedef _Tp type; };
  template<typename _Tp,
    bool = __and_<__not_<is_reference<_Tp>>,
                         __not_<is_void<_Tp>>>::value,
    bool = is_rvalue_reference<_Tp>::value>
    struct __add_lvalue_reference_helper
    { typedef _Tp type; };
  template<typename _Tp>
    struct __add_lvalue_reference_helper<_Tp, true, false>
    { typedef _Tp& type; };
  template<typename _Tp>
    struct __add_lvalue_reference_helper<_Tp, false, true>
    { typedef typename remove_reference<_Tp>::type& type; };
  template<typename _Tp>
    struct add_lvalue_reference
    : public __add_lvalue_reference_helper<_Tp>
    { };
  template<typename _Tp,
           bool = __and_<__not_<is_reference<_Tp>>,
                         __not_<is_void<_Tp>>>::value>
    struct __add_rvalue_reference_helper
    { typedef _Tp type; };
  template<typename _Tp>
    struct __add_rvalue_reference_helper<_Tp, true>
    { typedef _Tp&& type; };
  template<typename _Tp>
    struct add_rvalue_reference
    : public __add_rvalue_reference_helper<_Tp>
    { };
  template<typename _Unqualified, bool _IsConst, bool _IsVol>
    struct __cv_selector;
  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, false>
    { typedef _Unqualified __type; };
  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, true>
    { typedef volatile _Unqualified __type; };
  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, false>
    { typedef const _Unqualified __type; };
  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, true>
    { typedef const volatile _Unqualified __type; };
  template<typename _Qualified, typename _Unqualified,
    bool _IsConst = is_const<_Qualified>::value,
    bool _IsVol = is_volatile<_Qualified>::value>
    class __match_cv_qualifiers
    {
      typedef __cv_selector<_Unqualified, _IsConst, _IsVol> __match;
    public:
      typedef typename __match::__type __type;
    };
  template<typename _Tp>
    struct __make_unsigned
    { typedef _Tp __type; };
  template<>
    struct __make_unsigned<char>
    { typedef unsigned char __type; };
  template<>
    struct __make_unsigned<signed char>
    { typedef unsigned char __type; };
  template<>
    struct __make_unsigned<short>
    { typedef unsigned short __type; };
  template<>
    struct __make_unsigned<int>
    { typedef unsigned int __type; };
  template<>
    struct __make_unsigned<long>
    { typedef unsigned long __type; };
  template<>
    struct __make_unsigned<long long>
    { typedef unsigned long long __type; };
  template<>
    struct __make_unsigned<__int128>
    { typedef unsigned __int128 __type; };
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_unsigned_selector;
  template<typename _Tp>
    class __make_unsigned_selector<_Tp, true, false>
    {
      typedef __make_unsigned<typename remove_cv<_Tp>::type> __unsignedt;
      typedef typename __unsignedt::__type __unsigned_type;
      typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned;
    public:
      typedef typename __cv_unsigned::__type __type;
    };
  template<typename _Tp>
    class __make_unsigned_selector<_Tp, false, true>
    {
      typedef unsigned char __smallest;
      static const bool __b0 = sizeof(_Tp) <= sizeof(__smallest);
      static const bool __b1 = sizeof(_Tp) <= sizeof(unsigned short);
      static const bool __b2 = sizeof(_Tp) <= sizeof(unsigned int);
      typedef conditional<__b2, unsigned int, unsigned long> __cond2;
      typedef typename __cond2::type __cond2_type;
      typedef conditional<__b1, unsigned short, __cond2_type> __cond1;
      typedef typename __cond1::type __cond1_type;
    public:
      typedef typename conditional<__b0, __smallest, __cond1_type>::type __type;
    };
  template<typename _Tp>
    struct make_unsigned
    { typedef typename __make_unsigned_selector<_Tp>::__type type; };
  template<>
    struct make_unsigned<bool>;
  template<typename _Tp>
    struct __make_signed
    { typedef _Tp __type; };
  template<>
    struct __make_signed<char>
    { typedef signed char __type; };
  template<>
    struct __make_signed<unsigned char>
    { typedef signed char __type; };
  template<>
    struct __make_signed<unsigned short>
    { typedef signed short __type; };
  template<>
    struct __make_signed<unsigned int>
    { typedef signed int __type; };
  template<>
    struct __make_signed<unsigned long>
    { typedef signed long __type; };
  template<>
    struct __make_signed<unsigned long long>
    { typedef signed long long __type; };
  template<>
    struct __make_signed<unsigned __int128>
    { typedef __int128 __type; };
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = is_enum<_Tp>::value>
    class __make_signed_selector;
  template<typename _Tp>
    class __make_signed_selector<_Tp, true, false>
    {
      typedef __make_signed<typename remove_cv<_Tp>::type> __signedt;
      typedef typename __signedt::__type __signed_type;
      typedef __match_cv_qualifiers<_Tp, __signed_type> __cv_signed;
    public:
      typedef typename __cv_signed::__type __type;
    };
  template<typename _Tp>
    class __make_signed_selector<_Tp, false, true>
    {
      typedef signed char __smallest;
      static const bool __b0 = sizeof(_Tp) <= sizeof(__smallest);
      static const bool __b1 = sizeof(_Tp) <= sizeof(signed short);
      static const bool __b2 = sizeof(_Tp) <= sizeof(signed int);
      typedef conditional<__b2, signed int, signed long> __cond2;
      typedef typename __cond2::type __cond2_type;
      typedef conditional<__b1, signed short, __cond2_type> __cond1;
      typedef typename __cond1::type __cond1_type;
    public:
      typedef typename conditional<__b0, __smallest, __cond1_type>::type __type;
    };
  template<typename _Tp>
    struct make_signed
    { typedef typename __make_signed_selector<_Tp>::__type type; };
  template<>
    struct make_signed<bool>;
  template<typename _Tp>
    struct remove_extent
    { typedef _Tp type; };
  template<typename _Tp, std::size_t _Size>
    struct remove_extent<_Tp[_Size]>
    { typedef _Tp type; };
  template<typename _Tp>
    struct remove_extent<_Tp[]>
    { typedef _Tp type; };
  template<typename _Tp>
    struct remove_all_extents
    { typedef _Tp type; };
  template<typename _Tp, std::size_t _Size>
    struct remove_all_extents<_Tp[_Size]>
    { typedef typename remove_all_extents<_Tp>::type type; };
  template<typename _Tp>
    struct remove_all_extents<_Tp[]>
    { typedef typename remove_all_extents<_Tp>::type type; };
  template<typename _Tp, typename>
    struct __remove_pointer_helper
    { typedef _Tp type; };
  template<typename _Tp, typename _Up>
    struct __remove_pointer_helper<_Tp, _Up*>
    { typedef _Up type; };
  template<typename _Tp>
    struct remove_pointer
    : public __remove_pointer_helper<_Tp, typename remove_cv<_Tp>::type>
    { };
  template<typename _Tp>
    struct add_pointer
    { typedef typename remove_reference<_Tp>::type* type; };
  template<std::size_t _Len>
    struct __aligned_storage_msa
    {
      union __type
      {
 unsigned char __data[_Len];
 struct __attribute__((__aligned__)) { } __align;
      };
    };
  template<std::size_t _Len, std::size_t _Align =
    __alignof__(typename __aligned_storage_msa<_Len>::__type)>
    struct aligned_storage
    {
      union type
      {
 unsigned char __data[_Len];
 struct __attribute__((__aligned__((_Align)))) { } __align;
      };
    };
  template<typename _Up,
    bool _IsArray = is_array<_Up>::value,
    bool _IsFunction = is_function<_Up>::value>
    struct __decay_selector;
  template<typename _Up>
    struct __decay_selector<_Up, false, false>
    { typedef typename remove_cv<_Up>::type __type; };
  template<typename _Up>
    struct __decay_selector<_Up, true, false>
    { typedef typename remove_extent<_Up>::type* __type; };
  template<typename _Up>
    struct __decay_selector<_Up, false, true>
    { typedef typename add_pointer<_Up>::type __type; };
  template<typename _Tp>
    class decay
    {
      typedef typename remove_reference<_Tp>::type __remove_type;
    public:
      typedef typename __decay_selector<__remove_type>::__type type;
    };
  template<typename _Tp>
    class reference_wrapper;
  template<typename _Tp>
    struct __strip_reference_wrapper
    {
      typedef _Tp __type;
    };
  template<typename _Tp>
    struct __strip_reference_wrapper<reference_wrapper<_Tp> >
    {
      typedef _Tp& __type;
    };
  template<typename _Tp>
    struct __strip_reference_wrapper<const reference_wrapper<_Tp> >
    {
      typedef _Tp& __type;
    };
  template<typename _Tp>
    struct __decay_and_strip
    {
      typedef typename __strip_reference_wrapper<
 typename decay<_Tp>::type>::__type __type;
    };
  template<bool, typename _Tp = void>
    struct enable_if
    { };
  template<typename _Tp>
    struct enable_if<true, _Tp>
    { typedef _Tp type; };
  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct conditional
    { typedef _Iftrue type; };
  template<typename _Iftrue, typename _Iffalse>
    struct conditional<false, _Iftrue, _Iffalse>
    { typedef _Iffalse type; };
  template<typename... _Tp>
    struct common_type;
  template<typename _Tp>
    struct common_type<_Tp>
    { typedef _Tp type; };
  template<typename _Tp, typename _Up>
    struct common_type<_Tp, _Up>
    { typedef decltype(true ? declval<_Tp>() : declval<_Up>()) type; };
  template<typename _Tp, typename _Up, typename... _Vp>
    struct common_type<_Tp, _Up, _Vp...>
    {
      typedef typename
        common_type<typename common_type<_Tp, _Up>::type, _Vp...>::type type;
    };
  template<typename _Tp>
    struct underlying_type
    {
      typedef __underlying_type(_Tp) type;
    };
  template<typename _Tp>
    struct __declval_protector
    {
      static const bool __stop = false;
      static typename add_rvalue_reference<_Tp>::type __delegate();
    };
  template<typename _Tp>
    inline typename add_rvalue_reference<_Tp>::type
    declval() noexcept
    {
      static_assert(__declval_protector<_Tp>::__stop,
      "declval() must not be used!");
      return __declval_protector<_Tp>::__delegate();
    }
  template<typename _Signature>
    class result_of;
  template<typename _MemPtr, typename _Arg>
    struct _Result_of_memobj;
  template<typename _Res, typename _Class, typename _Arg>
    struct _Result_of_memobj<_Res _Class::*, _Arg>
    {
    private:
      typedef _Res _Class::* _Func;
      template<typename _Tp>
 static _Tp _S_get(const _Class&);
      template<typename _Tp>
 static decltype(*std::declval<_Tp>()) _S_get(...);
    public:
      typedef
        decltype(_S_get<_Arg>(std::declval<_Arg>()).*std::declval<_Func>())
        __type;
    };
  template<typename _MemPtr, typename _Arg, typename... _ArgTypes>
    struct _Result_of_memfun;
  template<typename _Res, typename _Class, typename _Arg, typename... _Args>
    struct _Result_of_memfun<_Res _Class::*, _Arg, _Args...>
    {
    private:
      typedef _Res _Class::* _Func;
      template<typename _Tp>
 static _Tp _S_get(const _Class&);
      template<typename _Tp>
 static decltype(*std::declval<_Tp>()) _S_get(...);
    public:
      typedef
        decltype((_S_get<_Arg>(std::declval<_Arg>()).*std::declval<_Func>())
            (std::declval<_Args>()...) )
        __type;
    };
  template<bool, bool, typename _Functor, typename... _ArgTypes>
    struct _Result_of_impl;
  template<typename _Functor, typename... _ArgTypes>
    struct _Result_of_impl<false, false, _Functor, _ArgTypes...>
    {
      typedef
        decltype( std::declval<_Functor>()(std::declval<_ArgTypes>()...) )
        __type;
    };
  template<typename _MemPtr, typename _Arg>
    struct _Result_of_impl<true, false, _MemPtr, _Arg>
    : _Result_of_memobj<typename remove_reference<_MemPtr>::type, _Arg>
    {
      typedef typename _Result_of_memobj<
 typename remove_reference<_MemPtr>::type, _Arg>::__type
 __type;
    };
  template<typename _MemPtr, typename _Arg, typename... _ArgTypes>
    struct _Result_of_impl<false, true, _MemPtr, _Arg, _ArgTypes...>
    : _Result_of_memfun<typename remove_reference<_MemPtr>::type, _Arg,
                        _ArgTypes...>
    {
      typedef typename _Result_of_memfun<
 typename remove_reference<_MemPtr>::type, _Arg, _ArgTypes...>::__type
 __type;
    };
  template<typename _Functor, typename... _ArgTypes>
    struct result_of<_Functor(_ArgTypes...)>
    : _Result_of_impl<is_member_object_pointer<
                        typename remove_reference<_Functor>::type >::value,
                      is_member_function_pointer<
   typename remove_reference<_Functor>::type >::value,
        _Functor, _ArgTypes...>
    {
      typedef typename _Result_of_impl<
 is_member_object_pointer<
   typename remove_reference<_Functor>::type >::value,
        is_member_function_pointer<
   typename remove_reference<_Functor>::type >::value,
        _Functor, _ArgTypes...>::__type
 type;
    };

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Tp>
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type& __t) noexcept
    { return static_cast<_Tp&&>(__t); }
  template<typename _Tp>
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type&& __t) noexcept
    {
      static_assert(!std::is_lvalue_reference<_Tp>::value, "template argument"
      " substituting _Tp is an lvalue reference type");
      return static_cast<_Tp&&>(__t);
    }
  template<typename _Tp>
    constexpr typename std::remove_reference<_Tp>::type&&
    move(_Tp&& __t) noexcept
    { return static_cast<typename std::remove_reference<_Tp>::type&&>(__t); }
  template<typename _Tp>
    struct __move_if_noexcept_cond
    : public __and_<__not_<is_nothrow_move_constructible<_Tp>>,
                    is_copy_constructible<_Tp>>::type { };
  template<typename _Tp>
    inline typename
    conditional<__move_if_noexcept_cond<_Tp>::value, const _Tp&, _Tp&&>::type
    move_if_noexcept(_Tp& __x) noexcept
    { return std::move(__x); }
  template<typename _Tp>
    inline _Tp*
    addressof(_Tp& __r) noexcept
    { return std::__addressof(__r); }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Tp>
    inline void
    swap(_Tp& __a, _Tp& __b)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>,
             is_nothrow_move_assignable<_Tp>>::value)
    {
     
      _Tp __tmp = std::move(__a);
      __a = std::move(__b);
      __b = std::move(__tmp);
    }
  template<typename _Tp, size_t _Nm>
    inline void
    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(noexcept(swap(*__a, *__b)))
    {
      for (size_t __n = 0; __n < _Nm; ++__n)
 swap(__a[__n], __b[__n]);
    }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  struct piecewise_construct_t { };
  constexpr piecewise_construct_t piecewise_construct = piecewise_construct_t();
  template<typename...>
    class tuple;
  template<std::size_t...>
    struct _Index_tuple;
  template<class _T1, class _T2>
    struct pair
    {
      typedef _T1 first_type;
      typedef _T2 second_type;
      _T1 first;
      _T2 second;
      constexpr pair()
      : first(), second() { }
      constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }
      template<class _U1, class _U2, class = typename
        enable_if<__and_<is_convertible<const _U1&, _T1>,
    is_convertible<const _U2&, _T2>>::value>::type>
 constexpr pair(const pair<_U1, _U2>& __p)
 : first(__p.first), second(__p.second) { }
      constexpr pair(const pair&) = default;
      constexpr pair(pair&&) = default;
      template<class _U1, class = typename
        enable_if<is_convertible<_U1, _T1>::value>::type>
 constexpr pair(_U1&& __x, const _T2& __y)
 : first(std::forward<_U1>(__x)), second(__y) { }
      template<class _U2, class = typename
        enable_if<is_convertible<_U2, _T2>::value>::type>
 constexpr pair(const _T1& __x, _U2&& __y)
 : first(__x), second(std::forward<_U2>(__y)) { }
      template<class _U1, class _U2, class = typename
        enable_if<__and_<is_convertible<_U1, _T1>,
    is_convertible<_U2, _T2>>::value>::type>
 constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y)) { }
      template<class _U1, class _U2, class = typename
        enable_if<__and_<is_convertible<_U1, _T1>,
    is_convertible<_U2, _T2>>::value>::type>
 constexpr pair(pair<_U1, _U2>&& __p)
 : first(std::forward<_U1>(__p.first)),
   second(std::forward<_U2>(__p.second)) { }
      template<typename... _Args1, typename... _Args2>
        pair(piecewise_construct_t, tuple<_Args1...>, tuple<_Args2...>);
      pair&
      operator=(const pair& __p)
      {
 first = __p.first;
 second = __p.second;
 return *this;
      }
      pair&
      operator=(pair&& __p)
      noexcept(__and_<is_nothrow_move_assignable<_T1>,
               is_nothrow_move_assignable<_T2>>::value)
      {
 first = std::forward<first_type>(__p.first);
 second = std::forward<second_type>(__p.second);
 return *this;
      }
      template<class _U1, class _U2>
 pair&
 operator=(const pair<_U1, _U2>& __p)
 {
   first = __p.first;
   second = __p.second;
   return *this;
 }
      template<class _U1, class _U2>
 pair&
 operator=(pair<_U1, _U2>&& __p)
 {
   first = std::forward<_U1>(__p.first);
   second = std::forward<_U2>(__p.second);
   return *this;
 }
      void
      swap(pair& __p)
      noexcept(noexcept(swap(first, __p.first))
        && noexcept(swap(second, __p.second)))
      {
 using std::swap;
 swap(first, __p.first);
 swap(second, __p.second);
      }
    private:
      template<typename... _Args1, std::size_t... _Indexes1,
               typename... _Args2, std::size_t... _Indexes2>
        pair(tuple<_Args1...>&, tuple<_Args2...>&,
             _Index_tuple<_Indexes1...>, _Index_tuple<_Indexes2...>);
    };
  template<class _T1, class _T2>
    inline 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 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 constexpr bool
    operator!=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x == __y); }
  template<class _T1, class _T2>
    inline constexpr bool
    operator>(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __y < __x; }
  template<class _T1, class _T2>
    inline constexpr bool
    operator<=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__y < __x); }
  template<class _T1, class _T2>
    inline constexpr bool
    operator>=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x < __y); }
  template<class _T1, class _T2>
    inline void
    swap(pair<_T1, _T2>& __x, pair<_T1, _T2>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }
  template<class _T1, class _T2>
    constexpr pair<typename __decay_and_strip<_T1>::__type,
                   typename __decay_and_strip<_T2>::__type>
    make_pair(_T1&& __x, _T2&& __y)
    {
      typedef typename __decay_and_strip<_T1>::__type __ds_type1;
      typedef typename __decay_and_strip<_T2>::__type __ds_type2;
      typedef pair<__ds_type1, __ds_type2> __pair_type;
      return __pair_type(std::forward<_T1>(__x), std::forward<_T2>(__y));
    }

}
       
namespace std __attribute__ ((__visibility__ ("default")))
{

  struct input_iterator_tag { };
  struct output_iterator_tag { };
  struct forward_iterator_tag : public input_iterator_tag { };
  struct bidirectional_iterator_tag : public forward_iterator_tag { };
  struct random_access_iterator_tag : public bidirectional_iterator_tag { };
  template<typename _Category, typename _Tp, typename _Distance = ptrdiff_t,
           typename _Pointer = _Tp*, typename _Reference = _Tp&>
    struct iterator
    {
      typedef _Category iterator_category;
      typedef _Tp value_type;
      typedef _Distance difference_type;
      typedef _Pointer pointer;
      typedef _Reference reference;
    };
template<typename _Tp> class __has_iterator_category_helper : __sfinae_types { template<typename _Up> struct _Wrap_type { }; template<typename _Up> static __one __test(_Wrap_type<typename _Up::iterator_category>*); template<typename _Up> static __two __test(...); public: static constexpr bool value = sizeof(__test<_Tp>(0)) == 1; }; template<typename _Tp> struct __has_iterator_category : integral_constant<bool, __has_iterator_category_helper <typename remove_cv<_Tp>::type>::value> { };
  template<typename _Iterator,
    bool = __has_iterator_category<_Iterator>::value>
    struct __iterator_traits { };
  template<typename _Iterator>
    struct __iterator_traits<_Iterator, true>
    {
      typedef typename _Iterator::iterator_category iterator_category;
      typedef typename _Iterator::value_type value_type;
      typedef typename _Iterator::difference_type difference_type;
      typedef typename _Iterator::pointer pointer;
      typedef typename _Iterator::reference reference;
    };
  template<typename _Iterator>
    struct iterator_traits
    : public __iterator_traits<_Iterator> { };
  template<typename _Tp>
    struct iterator_traits<_Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef _Tp* pointer;
      typedef _Tp& reference;
    };
  template<typename _Tp>
    struct iterator_traits<const _Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef const _Tp* pointer;
      typedef const _Tp& reference;
    };
  template<typename _Iter>
    inline typename iterator_traits<_Iter>::iterator_category
    __iterator_category(const _Iter&)
    { return typename iterator_traits<_Iter>::iterator_category(); }
  template<typename _Iterator, bool _HasBase>
    struct _Iter_base
    {
      typedef _Iterator iterator_type;
      static iterator_type _S_base(_Iterator __it)
      { return __it; }
    };
  template<typename _Iterator>
    struct _Iter_base<_Iterator, true>
    {
      typedef typename _Iterator::iterator_type iterator_type;
      static iterator_type _S_base(_Iterator __it)
      { return __it.base(); }
    };

}
       
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _InputIterator>
    inline typename iterator_traits<_InputIterator>::difference_type
    __distance(_InputIterator __first, _InputIterator __last,
               input_iterator_tag)
    {
     
      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      while (__first != __last)
 {
   ++__first;
   ++__n;
 }
      return __n;
    }
  template<typename _RandomAccessIterator>
    inline typename iterator_traits<_RandomAccessIterator>::difference_type
    __distance(_RandomAccessIterator __first, _RandomAccessIterator __last,
               random_access_iterator_tag)
    {
     
      return __last - __first;
    }
  template<typename _InputIterator>
    inline typename iterator_traits<_InputIterator>::difference_type
    distance(_InputIterator __first, _InputIterator __last)
    {
      return std::__distance(__first, __last,
        std::__iterator_category(__first));
    }
  template<typename _InputIterator, typename _Distance>
    inline void
    __advance(_InputIterator& __i, _Distance __n, input_iterator_tag)
    {
     
      while (__n--)
 ++__i;
    }
  template<typename _BidirectionalIterator, typename _Distance>
    inline void
    __advance(_BidirectionalIterator& __i, _Distance __n,
       bidirectional_iterator_tag)
    {
     
      if (__n > 0)
        while (__n--)
   ++__i;
      else
        while (__n++)
   --__i;
    }
  template<typename _RandomAccessIterator, typename _Distance>
    inline void
    __advance(_RandomAccessIterator& __i, _Distance __n,
              random_access_iterator_tag)
    {
     
      __i += __n;
    }
  template<typename _InputIterator, typename _Distance>
    inline void
    advance(_InputIterator& __i, _Distance __n)
    {
      typename iterator_traits<_InputIterator>::difference_type __d = __n;
      std::__advance(__i, __d, std::__iterator_category(__i));
    }
  template<typename _ForwardIterator>
    inline _ForwardIterator
    next(_ForwardIterator __x, typename
  iterator_traits<_ForwardIterator>::difference_type __n = 1)
    {
      std::advance(__x, __n);
      return __x;
    }
  template<typename _BidirectionalIterator>
    inline _BidirectionalIterator
    prev(_BidirectionalIterator __x, typename
  iterator_traits<_BidirectionalIterator>::difference_type __n = 1)
    {
      std::advance(__x, -__n);
      return __x;
    }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Iterator>
    class reverse_iterator
    : public iterator<typename iterator_traits<_Iterator>::iterator_category,
        typename iterator_traits<_Iterator>::value_type,
        typename iterator_traits<_Iterator>::difference_type,
        typename iterator_traits<_Iterator>::pointer,
                      typename iterator_traits<_Iterator>::reference>
    {
    protected:
      _Iterator current;
      typedef iterator_traits<_Iterator> __traits_type;
    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::pointer pointer;
      typedef typename __traits_type::reference reference;
      reverse_iterator() : current() { }
      explicit
      reverse_iterator(iterator_type __x) : current(__x) { }
      reverse_iterator(const reverse_iterator& __x)
      : current(__x.current) { }
      template<typename _Iter>
        reverse_iterator(const reverse_iterator<_Iter>& __x)
 : current(__x.base()) { }
      iterator_type
      base() const
      { return current; }
      reference
      operator*() const
      {
 _Iterator __tmp = current;
 return *--__tmp;
      }
      pointer
      operator->() const
      { return &(operator*()); }
      reverse_iterator&
      operator++()
      {
 --current;
 return *this;
      }
      reverse_iterator
      operator++(int)
      {
 reverse_iterator __tmp = *this;
 --current;
 return __tmp;
      }
      reverse_iterator&
      operator--()
      {
 ++current;
 return *this;
      }
      reverse_iterator
      operator--(int)
      {
 reverse_iterator __tmp = *this;
 ++current;
 return __tmp;
      }
      reverse_iterator
      operator+(difference_type __n) const
      { return reverse_iterator(current - __n); }
      reverse_iterator&
      operator+=(difference_type __n)
      {
 current -= __n;
 return *this;
      }
      reverse_iterator
      operator-(difference_type __n) const
      { return reverse_iterator(current + __n); }
      reverse_iterator&
      operator-=(difference_type __n)
      {
 current += __n;
 return *this;
      }
      reference
      operator[](difference_type __n) const
      { return *(*this + __n); }
    };
  template<typename _Iterator>
    inline bool
    operator==(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }
  template<typename _Iterator>
    inline bool
    operator<(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y.base() < __x.base(); }
  template<typename _Iterator>
    inline bool
    operator!=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__x == __y); }
  template<typename _Iterator>
    inline bool
    operator>(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y < __x; }
  template<typename _Iterator>
    inline bool
    operator<=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__y < __x); }
  template<typename _Iterator>
    inline bool
    operator>=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__x < __y); }
  template<typename _Iterator>
    inline typename reverse_iterator<_Iterator>::difference_type
    operator-(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y.base() - __x.base(); }
  template<typename _Iterator>
    inline reverse_iterator<_Iterator>
    operator+(typename reverse_iterator<_Iterator>::difference_type __n,
       const reverse_iterator<_Iterator>& __x)
    { return reverse_iterator<_Iterator>(__x.base() - __n); }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator==(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() == __y.base(); }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator<(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __y.base() < __x.base(); }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator!=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return !(__x == __y); }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator>(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __y < __x; }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator<=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return !(__y < __x); }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator>=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return !(__x < __y); }
  template<typename _IteratorL, typename _IteratorR>
    inline auto
    operator-(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    -> decltype(__y.base() - __x.base())
    { return __y.base() - __x.base(); }
  template<typename _Container>
    class back_insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;
    public:
      typedef _Container container_type;
      explicit
      back_insert_iterator(_Container& __x) : container(&__x) { }
      back_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_back(__value);
 return *this;
      }
      back_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_back(std::move(__value));
 return *this;
      }
      back_insert_iterator&
      operator*()
      { return *this; }
      back_insert_iterator&
      operator++()
      { return *this; }
      back_insert_iterator
      operator++(int)
      { return *this; }
    };
  template<typename _Container>
    inline back_insert_iterator<_Container>
    back_inserter(_Container& __x)
    { return back_insert_iterator<_Container>(__x); }
  template<typename _Container>
    class front_insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;
    public:
      typedef _Container container_type;
      explicit front_insert_iterator(_Container& __x) : container(&__x) { }
      front_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_front(__value);
 return *this;
      }
      front_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_front(std::move(__value));
 return *this;
      }
      front_insert_iterator&
      operator*()
      { return *this; }
      front_insert_iterator&
      operator++()
      { return *this; }
      front_insert_iterator
      operator++(int)
      { return *this; }
    };
  template<typename _Container>
    inline front_insert_iterator<_Container>
    front_inserter(_Container& __x)
    { return front_insert_iterator<_Container>(__x); }
  template<typename _Container>
    class insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;
      typename _Container::iterator iter;
    public:
      typedef _Container container_type;
      insert_iterator(_Container& __x, typename _Container::iterator __i)
      : container(&__x), iter(__i) {}
      insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 iter = container->insert(iter, __value);
 ++iter;
 return *this;
      }
      insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 iter = container->insert(iter, std::move(__value));
 ++iter;
 return *this;
      }
      insert_iterator&
      operator*()
      { return *this; }
      insert_iterator&
      operator++()
      { return *this; }
      insert_iterator&
      operator++(int)
      { return *this; }
    };
  template<typename _Container, typename _Iterator>
    inline insert_iterator<_Container>
    inserter(_Container& __x, _Iterator __i)
    {
      return insert_iterator<_Container>(__x,
      typename _Container::iterator(__i));
    }

}
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

  using std::iterator_traits;
  using std::iterator;
  template<typename _Iterator, typename _Container>
    class __normal_iterator
    {
    protected:
      _Iterator _M_current;
      typedef iterator_traits<_Iterator> __traits_type;
    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
      typedef typename __traits_type::pointer pointer;
      constexpr __normal_iterator() : _M_current(_Iterator()) { }
      explicit
      __normal_iterator(const _Iterator& __i) : _M_current(__i) { }
      template<typename _Iter>
        __normal_iterator(const __normal_iterator<_Iter,
     typename __enable_if<
              (std::__are_same<_Iter, typename _Container::pointer>::__value),
        _Container>::__type>& __i)
        : _M_current(__i.base()) { }
      reference
      operator*() const
      { return *_M_current; }
      pointer
      operator->() const
      { return _M_current; }
      __normal_iterator&
      operator++()
      {
 ++_M_current;
 return *this;
      }
      __normal_iterator
      operator++(int)
      { return __normal_iterator(_M_current++); }
      __normal_iterator&
      operator--()
      {
 --_M_current;
 return *this;
      }
      __normal_iterator
      operator--(int)
      { return __normal_iterator(_M_current--); }
      reference
      operator[](const difference_type& __n) const
      { return _M_current[__n]; }
      __normal_iterator&
      operator+=(const difference_type& __n)
      { _M_current += __n; return *this; }
      __normal_iterator
      operator+(const difference_type& __n) const
      { return __normal_iterator(_M_current + __n); }
      __normal_iterator&
      operator-=(const difference_type& __n)
      { _M_current -= __n; return *this; }
      __normal_iterator
      operator-(const difference_type& __n) const
      { return __normal_iterator(_M_current - __n); }
      const _Iterator&
      base() const
      { return _M_current; }
    };
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator==(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    { return __lhs.base() == __rhs.base(); }
  template<typename _Iterator, typename _Container>
    inline bool
    operator==(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    { return __lhs.base() == __rhs.base(); }
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator!=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    { return __lhs.base() != __rhs.base(); }
  template<typename _Iterator, typename _Container>
    inline bool
    operator!=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    { return __lhs.base() != __rhs.base(); }
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator<(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    { return __lhs.base() < __rhs.base(); }
  template<typename _Iterator, typename _Container>
    inline bool
    operator<(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    { return __lhs.base() < __rhs.base(); }
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator>(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    { return __lhs.base() > __rhs.base(); }
  template<typename _Iterator, typename _Container>
    inline bool
    operator>(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    { return __lhs.base() > __rhs.base(); }
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator<=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    { return __lhs.base() <= __rhs.base(); }
  template<typename _Iterator, typename _Container>
    inline bool
    operator<=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    { return __lhs.base() <= __rhs.base(); }
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline bool
    operator>=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    { return __lhs.base() >= __rhs.base(); }
  template<typename _Iterator, typename _Container>
    inline bool
    operator>=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    { return __lhs.base() >= __rhs.base(); }
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    inline auto
    operator-(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    -> decltype(__lhs.base() - __rhs.base())
    { return __lhs.base() - __rhs.base(); }
  template<typename _Iterator, typename _Container>
    inline typename __normal_iterator<_Iterator, _Container>::difference_type
    operator-(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    { return __lhs.base() - __rhs.base(); }
  template<typename _Iterator, typename _Container>
    inline __normal_iterator<_Iterator, _Container>
    operator+(typename __normal_iterator<_Iterator, _Container>::difference_type
       __n, const __normal_iterator<_Iterator, _Container>& __i)
    { return __normal_iterator<_Iterator, _Container>(__i.base() + __n); }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Iterator>
    class move_iterator
    {
    protected:
      _Iterator _M_current;
      typedef iterator_traits<_Iterator> __traits_type;
    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef _Iterator pointer;
      typedef value_type&& reference;
      move_iterator()
      : _M_current() { }
      explicit
      move_iterator(iterator_type __i)
      : _M_current(__i) { }
      template<typename _Iter>
 move_iterator(const move_iterator<_Iter>& __i)
 : _M_current(__i.base()) { }
      iterator_type
      base() const
      { return _M_current; }
      reference
      operator*() const
      { return std::move(*_M_current); }
      pointer
      operator->() const
      { return _M_current; }
      move_iterator&
      operator++()
      {
 ++_M_current;
 return *this;
      }
      move_iterator
      operator++(int)
      {
 move_iterator __tmp = *this;
 ++_M_current;
 return __tmp;
      }
      move_iterator&
      operator--()
      {
 --_M_current;
 return *this;
      }
      move_iterator
      operator--(int)
      {
 move_iterator __tmp = *this;
 --_M_current;
 return __tmp;
      }
      move_iterator
      operator+(difference_type __n) const
      { return move_iterator(_M_current + __n); }
      move_iterator&
      operator+=(difference_type __n)
      {
 _M_current += __n;
 return *this;
      }
      move_iterator
      operator-(difference_type __n) const
      { return move_iterator(_M_current - __n); }
      move_iterator&
      operator-=(difference_type __n)
      {
 _M_current -= __n;
 return *this;
      }
      reference
      operator[](difference_type __n) const
      { return std::move(_M_current[__n]); }
    };
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator==(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return __x.base() == __y.base(); }
  template<typename _Iterator>
    inline bool
    operator==(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator!=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x == __y); }
  template<typename _Iterator>
    inline bool
    operator!=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x == __y); }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator<(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    { return __x.base() < __y.base(); }
  template<typename _Iterator>
    inline bool
    operator<(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __x.base() < __y.base(); }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator<=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__y < __x); }
  template<typename _Iterator>
    inline bool
    operator<=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__y < __x); }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator>(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    { return __y < __x; }
  template<typename _Iterator>
    inline bool
    operator>(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __y < __x; }
  template<typename _IteratorL, typename _IteratorR>
    inline bool
    operator>=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x < __y); }
  template<typename _Iterator>
    inline bool
    operator>=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x < __y); }
  template<typename _IteratorL, typename _IteratorR>
    inline auto
    operator-(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    -> decltype(__x.base() - __y.base())
    { return __x.base() - __y.base(); }
  template<typename _Iterator>
    inline auto
    operator-(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    -> decltype(__x.base() - __y.base())
    { return __x.base() - __y.base(); }
  template<typename _Iterator>
    inline move_iterator<_Iterator>
    operator+(typename move_iterator<_Iterator>::difference_type __n,
       const move_iterator<_Iterator>& __x)
    { return __x + __n; }
  template<typename _Iterator>
    inline move_iterator<_Iterator>
    make_move_iterator(_Iterator __i)
    { return move_iterator<_Iterator>(__i); }
  template<typename _Iterator, typename _ReturnType
    = typename conditional<__move_if_noexcept_cond
      <typename iterator_traits<_Iterator>::value_type>::value,
                _Iterator, move_iterator<_Iterator>>::type>
    inline _ReturnType
    __make_move_if_noexcept_iterator(_Iterator __i)
    { return _ReturnType(__i); }

}
namespace std
{
  namespace __debug { }
}
namespace __gnu_debug
{
  using namespace std::__debug;
}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<bool _BoolType>
    struct __iter_swap
    {
      template<typename _ForwardIterator1, typename _ForwardIterator2>
        static void
        iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
        {
          typedef typename iterator_traits<_ForwardIterator1>::value_type
            _ValueType1;
          _ValueType1 __tmp = std::move(*__a);
          *__a = std::move(*__b);
          *__b = std::move(__tmp);
 }
    };
  template<>
    struct __iter_swap<true>
    {
      template<typename _ForwardIterator1, typename _ForwardIterator2>
        static void
        iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
        {
          swap(*__a, *__b);
        }
    };
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    inline void
    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
    {
      typedef typename iterator_traits<_ForwardIterator1>::value_type
 _ValueType1;
      typedef typename iterator_traits<_ForwardIterator2>::value_type
 _ValueType2;
     
     
     
     
      typedef typename iterator_traits<_ForwardIterator1>::reference
 _ReferenceType1;
      typedef typename iterator_traits<_ForwardIterator2>::reference
 _ReferenceType2;
      std::__iter_swap<__are_same<_ValueType1, _ValueType2>::__value
 && __are_same<_ValueType1&, _ReferenceType1>::__value
 && __are_same<_ValueType2&, _ReferenceType2>::__value>::
 iter_swap(__a, __b);
    }
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    _ForwardIterator2
    swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
  _ForwardIterator2 __first2)
    {
     
     
      ;
      for (; __first1 != __last1; ++__first1, ++__first2)
 std::iter_swap(__first1, __first2);
      return __first2;
    }
  template<typename _Tp>
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b)
    {
     
      if (__b < __a)
 return __b;
      return __a;
    }
  template<typename _Tp>
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b)
    {
     
      if (__a < __b)
 return __b;
      return __a;
    }
  template<typename _Tp, typename _Compare>
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {
      if (__comp(__b, __a))
 return __b;
      return __a;
    }
  template<typename _Tp, typename _Compare>
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {
      if (__comp(__a, __b))
 return __b;
      return __a;
    }
  template<typename _Iterator>
    struct _Niter_base
    : _Iter_base<_Iterator, __is_normal_iterator<_Iterator>::__value>
    { };
  template<typename _Iterator>
    inline typename _Niter_base<_Iterator>::iterator_type
    __niter_base(_Iterator __it)
    { return std::_Niter_base<_Iterator>::_S_base(__it); }
  template<typename _Iterator>
    struct _Miter_base
    : _Iter_base<_Iterator, __is_move_iterator<_Iterator>::__value>
    { };
  template<typename _Iterator>
    inline typename _Miter_base<_Iterator>::iterator_type
    __miter_base(_Iterator __it)
    { return std::_Miter_base<_Iterator>::_S_base(__it); }
  template<bool, bool, typename>
    struct __copy_move
    {
      template<typename _II, typename _OI>
        static _OI
        __copy_m(_II __first, _II __last, _OI __result)
        {
   for (; __first != __last; ++__result, ++__first)
     *__result = *__first;
   return __result;
 }
    };
  template<typename _Category>
    struct __copy_move<true, false, _Category>
    {
      template<typename _II, typename _OI>
        static _OI
        __copy_m(_II __first, _II __last, _OI __result)
        {
   for (; __first != __last; ++__result, ++__first)
     *__result = std::move(*__first);
   return __result;
 }
    };
  template<>
    struct __copy_move<false, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>
        static _OI
        __copy_m(_II __first, _II __last, _OI __result)
        {
   typedef typename iterator_traits<_II>::difference_type _Distance;
   for(_Distance __n = __last - __first; __n > 0; --__n)
     {
       *__result = *__first;
       ++__first;
       ++__result;
     }
   return __result;
 }
    };
  template<>
    struct __copy_move<true, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>
        static _OI
        __copy_m(_II __first, _II __last, _OI __result)
        {
   typedef typename iterator_traits<_II>::difference_type _Distance;
   for(_Distance __n = __last - __first; __n > 0; --__n)
     {
       *__result = std::move(*__first);
       ++__first;
       ++__result;
     }
   return __result;
 }
    };
  template<bool _IsMove>
    struct __copy_move<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp>
        static _Tp*
        __copy_m(const _Tp* __first, const _Tp* __last, _Tp* __result)
        {
   const ptrdiff_t _Num = __last - __first;
   if (_Num)
     __builtin_memmove(__result, __first, sizeof(_Tp) * _Num);
   return __result + _Num;
 }
    };
  template<bool _IsMove, typename _II, typename _OI>
    inline _OI
    __copy_move_a(_II __first, _II __last, _OI __result)
    {
      typedef typename iterator_traits<_II>::value_type _ValueTypeI;
      typedef typename iterator_traits<_OI>::value_type _ValueTypeO;
      typedef typename iterator_traits<_II>::iterator_category _Category;
      const bool __simple = (__is_trivial(_ValueTypeI)
                      && __is_pointer<_II>::__value
                      && __is_pointer<_OI>::__value
        && __are_same<_ValueTypeI, _ValueTypeO>::__value);
      return std::__copy_move<_IsMove, __simple,
                       _Category>::__copy_m(__first, __last, __result);
    }
  template<typename _CharT>
    struct char_traits;
  template<typename _CharT, typename _Traits>
    class istreambuf_iterator;
  template<typename _CharT, typename _Traits>
    class ostreambuf_iterator;
  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(_CharT*, _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);
  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(const _CharT*, const _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);
  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT, char_traits<_CharT> >,
     istreambuf_iterator<_CharT, char_traits<_CharT> >, _CharT*);
  template<bool _IsMove, typename _II, typename _OI>
    inline _OI
    __copy_move_a2(_II __first, _II __last, _OI __result)
    {
      return _OI(std::__copy_move_a<_IsMove>(std::__niter_base(__first),
          std::__niter_base(__last),
          std::__niter_base(__result)));
    }
  template<typename _II, typename _OI>
    inline _OI
    copy(_II __first, _II __last, _OI __result)
    {
     
     
      ;
      return (std::__copy_move_a2<__is_move_iterator<_II>::__value>
       (std::__miter_base(__first), std::__miter_base(__last),
        __result));
    }
  template<typename _II, typename _OI>
    inline _OI
    move(_II __first, _II __last, _OI __result)
    {
     
     
      ;
      return std::__copy_move_a2<true>(std::__miter_base(__first),
           std::__miter_base(__last), __result);
    }
  template<bool, bool, typename>
    struct __copy_move_backward
    {
      template<typename _BI1, typename _BI2>
        static _BI2
        __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
        {
   while (__first != __last)
     *--__result = *--__last;
   return __result;
 }
    };
  template<typename _Category>
    struct __copy_move_backward<true, false, _Category>
    {
      template<typename _BI1, typename _BI2>
        static _BI2
        __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
        {
   while (__first != __last)
     *--__result = std::move(*--__last);
   return __result;
 }
    };
  template<>
    struct __copy_move_backward<false, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>
        static _BI2
        __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
        {
   typename iterator_traits<_BI1>::difference_type __n;
   for (__n = __last - __first; __n > 0; --__n)
     *--__result = *--__last;
   return __result;
 }
    };
  template<>
    struct __copy_move_backward<true, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>
        static _BI2
        __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
        {
   typename iterator_traits<_BI1>::difference_type __n;
   for (__n = __last - __first; __n > 0; --__n)
     *--__result = std::move(*--__last);
   return __result;
 }
    };
  template<bool _IsMove>
    struct __copy_move_backward<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp>
        static _Tp*
        __copy_move_b(const _Tp* __first, const _Tp* __last, _Tp* __result)
        {
   const ptrdiff_t _Num = __last - __first;
   if (_Num)
     __builtin_memmove(__result - _Num, __first, sizeof(_Tp) * _Num);
   return __result - _Num;
 }
    };
  template<bool _IsMove, typename _BI1, typename _BI2>
    inline _BI2
    __copy_move_backward_a(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      typedef typename iterator_traits<_BI1>::value_type _ValueType1;
      typedef typename iterator_traits<_BI2>::value_type _ValueType2;
      typedef typename iterator_traits<_BI1>::iterator_category _Category;
      const bool __simple = (__is_trivial(_ValueType1)
                      && __is_pointer<_BI1>::__value
                      && __is_pointer<_BI2>::__value
        && __are_same<_ValueType1, _ValueType2>::__value);
      return std::__copy_move_backward<_IsMove, __simple,
                                _Category>::__copy_move_b(__first,
         __last,
         __result);
    }
  template<bool _IsMove, typename _BI1, typename _BI2>
    inline _BI2
    __copy_move_backward_a2(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      return _BI2(std::__copy_move_backward_a<_IsMove>
    (std::__niter_base(__first), std::__niter_base(__last),
     std::__niter_base(__result)));
    }
  template<typename _BI1, typename _BI2>
    inline _BI2
    copy_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {
     
     
     
      ;
      return (std::__copy_move_backward_a2<__is_move_iterator<_BI1>::__value>
       (std::__miter_base(__first), std::__miter_base(__last),
        __result));
    }
  template<typename _BI1, typename _BI2>
    inline _BI2
    move_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {
     
     
     
      ;
      return std::__copy_move_backward_a2<true>(std::__miter_base(__first),
      std::__miter_base(__last),
      __result);
    }
  template<typename _ForwardIterator, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, void>::__type
    __fill_a(_ForwardIterator __first, _ForwardIterator __last,
       const _Tp& __value)
    {
      for (; __first != __last; ++__first)
 *__first = __value;
    }
  template<typename _ForwardIterator, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, void>::__type
    __fill_a(_ForwardIterator __first, _ForwardIterator __last,
      const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __first != __last; ++__first)
 *__first = __tmp;
    }
  template<typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, void>::__type
    __fill_a(_Tp* __first, _Tp* __last, const _Tp& __c)
    {
      const _Tp __tmp = __c;
      __builtin_memset(__first, static_cast<unsigned char>(__tmp),
         __last - __first);
    }
  template<typename _ForwardIterator, typename _Tp>
    inline void
    fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value)
    {
     
      ;
      std::__fill_a(std::__niter_base(__first), std::__niter_base(__last),
      __value);
    }
  template<typename _OutputIterator, typename _Size, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      for (__decltype(__n + 0) __niter = __n;
    __niter > 0; --__niter, ++__first)
 *__first = __value;
      return __first;
    }
  template<typename _OutputIterator, typename _Size, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (__decltype(__n + 0) __niter = __n;
    __niter > 0; --__niter, ++__first)
 *__first = __tmp;
      return __first;
    }
  template<typename _Size, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, _Tp*>::__type
    __fill_n_a(_Tp* __first, _Size __n, const _Tp& __c)
    {
      std::__fill_a(__first, __first + __n, __c);
      return __first + __n;
    }
  template<typename _OI, typename _Size, typename _Tp>
    inline _OI
    fill_n(_OI __first, _Size __n, const _Tp& __value)
    {
     
      return _OI(std::__fill_n_a(std::__niter_base(__first), __n, __value));
    }
  template<bool _BoolType>
    struct __equal
    {
      template<typename _II1, typename _II2>
        static bool
        equal(_II1 __first1, _II1 __last1, _II2 __first2)
        {
   for (; __first1 != __last1; ++__first1, ++__first2)
     if (!(*__first1 == *__first2))
       return false;
   return true;
 }
    };
  template<>
    struct __equal<true>
    {
      template<typename _Tp>
        static bool
        equal(const _Tp* __first1, const _Tp* __last1, const _Tp* __first2)
        {
   return !__builtin_memcmp(__first1, __first2, sizeof(_Tp)
       * (__last1 - __first1));
 }
    };
  template<typename _II1, typename _II2>
    inline bool
    __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
      const bool __simple = ((__is_integer<_ValueType1>::__value
         || __is_pointer<_ValueType1>::__value)
                      && __is_pointer<_II1>::__value
                      && __is_pointer<_II2>::__value
        && __are_same<_ValueType1, _ValueType2>::__value);
      return std::__equal<__simple>::equal(__first1, __last1, __first2);
    }
  template<typename, typename>
    struct __lc_rai
    {
      template<typename _II1, typename _II2>
        static _II1
        __newlast1(_II1, _II1 __last1, _II2, _II2)
        { return __last1; }
      template<typename _II>
        static bool
        __cnd2(_II __first, _II __last)
        { return __first != __last; }
    };
  template<>
    struct __lc_rai<random_access_iterator_tag, random_access_iterator_tag>
    {
      template<typename _RAI1, typename _RAI2>
        static _RAI1
        __newlast1(_RAI1 __first1, _RAI1 __last1,
     _RAI2 __first2, _RAI2 __last2)
        {
   const typename iterator_traits<_RAI1>::difference_type
     __diff1 = __last1 - __first1;
   const typename iterator_traits<_RAI2>::difference_type
     __diff2 = __last2 - __first2;
   return __diff2 < __diff1 ? __first1 + __diff2 : __last1;
 }
      template<typename _RAI>
        static bool
        __cnd2(_RAI, _RAI)
        { return true; }
    };
  template<bool _BoolType>
    struct __lexicographical_compare
    {
      template<typename _II1, typename _II2>
        static bool __lc(_II1, _II1, _II2, _II2);
    };
  template<bool _BoolType>
    template<typename _II1, typename _II2>
      bool
      __lexicographical_compare<_BoolType>::
      __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
      {
 typedef typename iterator_traits<_II1>::iterator_category _Category1;
 typedef typename iterator_traits<_II2>::iterator_category _Category2;
 typedef std::__lc_rai<_Category1, _Category2> __rai_type;
 __last1 = __rai_type::__newlast1(__first1, __last1,
      __first2, __last2);
 for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
      ++__first1, ++__first2)
   {
     if (*__first1 < *__first2)
       return true;
     if (*__first2 < *__first1)
       return false;
   }
 return __first1 == __last1 && __first2 != __last2;
      }
  template<>
    struct __lexicographical_compare<true>
    {
      template<typename _Tp, typename _Up>
        static bool
        __lc(const _Tp* __first1, const _Tp* __last1,
      const _Up* __first2, const _Up* __last2)
 {
   const size_t __len1 = __last1 - __first1;
   const size_t __len2 = __last2 - __first2;
   const int __result = __builtin_memcmp(__first1, __first2,
      std::min(__len1, __len2));
   return __result != 0 ? __result < 0 : __len1 < __len2;
 }
    };
  template<typename _II1, typename _II2>
    inline bool
    __lexicographical_compare_aux(_II1 __first1, _II1 __last1,
      _II2 __first2, _II2 __last2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
      const bool __simple =
 (__is_byte<_ValueType1>::__value && __is_byte<_ValueType2>::__value
  && !__gnu_cxx::__numeric_traits<_ValueType1>::__is_signed
  && !__gnu_cxx::__numeric_traits<_ValueType2>::__is_signed
  && __is_pointer<_II1>::__value
  && __is_pointer<_II2>::__value);
      return std::__lexicographical_compare<__simple>::__lc(__first1, __last1,
           __first2, __last2);
    }
  template<typename _ForwardIterator, typename _Tp>
    _ForwardIterator
    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;
      typedef typename iterator_traits<_ForwardIterator>::difference_type
 _DistanceType;
     
     
      ;
      _DistanceType __len = std::distance(__first, __last);
      while (__len > 0)
 {
   _DistanceType __half = __len >> 1;
   _ForwardIterator __middle = __first;
   std::advance(__middle, __half);
   if (*__middle < __val)
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else
     __len = __half;
 }
      return __first;
    }
  template<typename _Size>
    inline _Size
    __lg(_Size __n)
    {
      _Size __k;
      for (__k = 0; __n != 0; __n >>= 1)
 ++__k;
      return __k - 1;
    }
  inline int
  __lg(int __n)
  { return sizeof(int) * 8 - 1 - __builtin_clz(__n); }
  inline unsigned
  __lg(unsigned __n)
  { return sizeof(int) * 8 - 1 - __builtin_clz(__n); }
  inline long
  __lg(long __n)
  { return sizeof(long) * 8 - 1 - __builtin_clzl(__n); }
  inline unsigned long
  __lg(unsigned long __n)
  { return sizeof(long) * 8 - 1 - __builtin_clzl(__n); }
  inline long long
  __lg(long long __n)
  { return sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }
  inline unsigned long long
  __lg(unsigned long long __n)
  { return sizeof(long long) * 8 - 1 - __builtin_clzll(__n); }


  template<typename _II1, typename _II2>
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2)
    {
     
     
     
      ;
      return std::__equal_aux(std::__niter_base(__first1),
         std::__niter_base(__last1),
         std::__niter_base(__first2));
    }
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _BinaryPredicate __binary_pred)
    {
     
     
      ;
      for (; __first1 != __last1; ++__first1, ++__first2)
 if (!bool(__binary_pred(*__first1, *__first2)))
   return false;
      return true;
    }
  template<typename _II1, typename _II2>
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
     
     
     
     
      ;
      ;
      return std::__lexicographical_compare_aux(std::__niter_base(__first1),
      std::__niter_base(__last1),
      std::__niter_base(__first2),
      std::__niter_base(__last2));
    }
  template<typename _II1, typename _II2, typename _Compare>
    bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2, _Compare __comp)
    {
      typedef typename iterator_traits<_II1>::iterator_category _Category1;
      typedef typename iterator_traits<_II2>::iterator_category _Category2;
      typedef std::__lc_rai<_Category1, _Category2> __rai_type;
     
     
      ;
      ;
      __last1 = __rai_type::__newlast1(__first1, __last1, __first2, __last2);
      for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
    ++__first1, ++__first2)
 {
   if (__comp(*__first1, *__first2))
     return true;
   if (__comp(*__first2, *__first1))
     return false;
 }
      return __first1 == __last1 && __first2 != __last2;
    }
  template<typename _InputIterator1, typename _InputIterator2>
    pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2)
    {
     
     
     
      ;
      while (__first1 != __last1 && *__first1 == *__first2)
        {
   ++__first1;
   ++__first2;
        }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
     
     
      ;
      while (__first1 != __last1 && bool(__binary_pred(*__first1, *__first2)))
        {
   ++__first1;
   ++__first2;
        }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }

}
       
       
#pragma GCC visibility push(default)
       
extern "C++" {
namespace std
{
  class exception
  {
  public:
    exception() noexcept { }
    virtual ~exception() noexcept;
    virtual const char* what() const noexcept;
  };
  class bad_exception : public exception
  {
  public:
    bad_exception() noexcept { }
    virtual ~bad_exception() noexcept;
    virtual const char* what() const noexcept;
  };
  typedef void (*terminate_handler) ();
  typedef void (*unexpected_handler) ();
  terminate_handler set_terminate(terminate_handler) noexcept;
  void terminate() noexcept __attribute__ ((__noreturn__));
  unexpected_handler set_unexpected(unexpected_handler) noexcept;
  void unexpected() __attribute__ ((__noreturn__));
  bool uncaught_exception() noexcept __attribute__ ((__pure__));
}
namespace __gnu_cxx
{

  void __verbose_terminate_handler();

}
}
#pragma GCC visibility pop
#pragma GCC visibility push(default)
extern "C++" {
namespace std
{
  namespace __exception_ptr
  {
    class exception_ptr;
  }
  using __exception_ptr::exception_ptr;
  exception_ptr current_exception() noexcept;
  void rethrow_exception(exception_ptr) __attribute__ ((__noreturn__));
  namespace __exception_ptr
  {
    class exception_ptr
    {
      void* _M_exception_object;
      explicit exception_ptr(void* __e) noexcept;
      void _M_addref() noexcept;
      void _M_release() noexcept;
      void *_M_get() const noexcept __attribute__ ((__pure__));
      friend exception_ptr std::current_exception() noexcept;
      friend void std::rethrow_exception(exception_ptr);
    public:
      exception_ptr() noexcept;
      exception_ptr(const exception_ptr&) noexcept;
      exception_ptr(nullptr_t) noexcept
      : _M_exception_object(0)
      { }
      exception_ptr(exception_ptr&& __o) noexcept
      : _M_exception_object(__o._M_exception_object)
      { __o._M_exception_object = 0; }
      exception_ptr&
      operator=(const exception_ptr&) noexcept;
      exception_ptr&
      operator=(exception_ptr&& __o) noexcept
      {
        exception_ptr(static_cast<exception_ptr&&>(__o)).swap(*this);
        return *this;
      }
      ~exception_ptr() noexcept;
      void
      swap(exception_ptr&) noexcept;
      explicit operator bool() const
      { return _M_exception_object; }
      friend bool
      operator==(const exception_ptr&, const exception_ptr&)
 noexcept __attribute__ ((__pure__));
      const class type_info*
      __cxa_exception_type() const noexcept
 __attribute__ ((__pure__));
    };
    bool
    operator==(const exception_ptr&, const exception_ptr&)
      noexcept __attribute__ ((__pure__));
    bool
    operator!=(const exception_ptr&, const exception_ptr&)
      noexcept __attribute__ ((__pure__));
    inline void
    swap(exception_ptr& __lhs, exception_ptr& __rhs)
    { __lhs.swap(__rhs); }
  }
  template<typename _Ex>
    exception_ptr
    copy_exception(_Ex __ex) noexcept
    {
      try
 {
   throw __ex;
 }
      catch(...)
 {
   return current_exception();
 }
    }
  template<typename _Ex>
    exception_ptr
    make_exception_ptr(_Ex __ex) noexcept
    { return std::copy_exception<_Ex>(__ex); }
}
}
#pragma GCC visibility pop
#pragma GCC visibility push(default)
extern "C++" {
namespace std
{
  class nested_exception
  {
    exception_ptr _M_ptr;
  public:
    nested_exception() noexcept : _M_ptr(current_exception()) { }
    nested_exception(const nested_exception&) = default;
    nested_exception& operator=(const nested_exception&) = default;
    virtual ~nested_exception() noexcept;
    void
    rethrow_nested() const __attribute__ ((__noreturn__))
    { rethrow_exception(_M_ptr); }
    exception_ptr
    nested_ptr() const
    { return _M_ptr; }
  };
  template<typename _Except>
    struct _Nested_exception : public _Except, public nested_exception
    {
      explicit _Nested_exception(_Except&& __ex)
      : _Except(static_cast<_Except&&>(__ex))
      { }
    };
  template<typename _Ex>
    struct __get_nested_helper
    {
      static const nested_exception*
      _S_get(const _Ex& __ex)
      { return dynamic_cast<const nested_exception*>(&__ex); }
    };
  template<typename _Ex>
    struct __get_nested_helper<_Ex*>
    {
      static const nested_exception*
      _S_get(const _Ex* __ex)
      { return dynamic_cast<const nested_exception*>(__ex); }
    };
  template<typename _Ex>
    inline const nested_exception*
    __get_nested_exception(const _Ex& __ex)
    { return __get_nested_helper<_Ex>::_S_get(__ex); }
  template<typename _Ex>
    void
    __throw_with_nested(_Ex&&, const nested_exception* = 0)
    __attribute__ ((__noreturn__));
  template<typename _Ex>
    void
    __throw_with_nested(_Ex&&, ...) __attribute__ ((__noreturn__));
  template<typename _Ex>
    inline void
    __throw_with_nested(_Ex&& __ex, const nested_exception*)
    { throw __ex; }
  template<typename _Ex>
    inline void
    __throw_with_nested(_Ex&& __ex, ...)
    { throw _Nested_exception<_Ex>(static_cast<_Ex&&>(__ex)); }
  template<typename _Ex>
    void
    throw_with_nested(_Ex __ex) __attribute__ ((__noreturn__));
  template<typename _Ex>
    inline void
    throw_with_nested(_Ex __ex)
    {
      if (__get_nested_exception(__ex))
        throw __ex;
      __throw_with_nested(static_cast<_Ex&&>(__ex), &__ex);
    }
  template<typename _Ex>
    inline void
    rethrow_if_nested(const _Ex& __ex)
    {
      if (const nested_exception* __nested = __get_nested_exception(__ex))
        __nested->rethrow_nested();
    }
  inline void
  rethrow_if_nested(const nested_exception& __ex)
  { __ex.rethrow_nested(); }
}
}
#pragma GCC visibility pop
#pragma GCC visibility push(default)
extern "C++" {
namespace std
{
  class bad_alloc : public exception
  {
  public:
    bad_alloc() throw() { }
    virtual ~bad_alloc() throw();
    virtual const char* what() const throw();
  };
  struct nothrow_t { };
  extern const nothrow_t nothrow;
  typedef void (*new_handler)();
  new_handler set_new_handler(new_handler) throw();
}
void* operator new(std::size_t)
  __attribute__((__externally_visible__));
void* operator new[](std::size_t)
  __attribute__((__externally_visible__));
void operator delete(void*) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*) noexcept
  __attribute__((__externally_visible__));
void* operator new(std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void* operator new[](std::size_t, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void operator delete(void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
void operator delete[](void*, const std::nothrow_t&) noexcept
  __attribute__((__externally_visible__));
inline void* operator new(std::size_t, void* __p) noexcept
{ return __p; }
inline void* operator new[](std::size_t, void* __p) noexcept
{ return __p; }
inline void operator delete (void*, void*) noexcept { }
inline void operator delete[](void*, void*) noexcept { }
}
#pragma GCC visibility pop
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

  using std::size_t;
  using std::ptrdiff_t;
  template<typename _Tp>
    class new_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;
      template<typename _Tp1>
        struct rebind
        { typedef new_allocator<_Tp1> other; };
      new_allocator() noexcept { }
      new_allocator(const new_allocator&) noexcept { }
      template<typename _Tp1>
        new_allocator(const new_allocator<_Tp1>&) noexcept { }
      ~new_allocator() noexcept { }
      pointer
      address(reference __x) const noexcept
      { return std::__addressof(__x); }
      const_pointer
      address(const_reference __x) const noexcept
      { return std::__addressof(__x); }
      pointer
      allocate(size_type __n, const void* = 0)
      {
 if (__n > this->max_size())
   std::__throw_bad_alloc();
 return static_cast<_Tp*>(::operator new(__n * sizeof(_Tp)));
      }
      void
      deallocate(pointer __p, size_type)
      { ::operator delete(__p); }
      size_type
      max_size() const noexcept
      { return size_t(-1) / sizeof(_Tp); }
      template<typename _Up, typename... _Args>
        void
        construct(_Up* __p, _Args&&... __args)
 { ::new((void *)__p) _Up(std::forward<_Args>(__args)...); }
      template<typename _Up>
        void
        destroy(_Up* __p) { __p->~_Up(); }
    };
  template<typename _Tp>
    inline bool
    operator==(const new_allocator<_Tp>&, const new_allocator<_Tp>&)
    { return true; }
  template<typename _Tp>
    inline bool
    operator!=(const new_allocator<_Tp>&, const new_allocator<_Tp>&)
    { return false; }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Tp>
    class allocator;
  template<>
    class allocator<void>
    {
    public:
      typedef size_t size_type;
      typedef ptrdiff_t difference_type;
      typedef void* pointer;
      typedef const void* const_pointer;
      typedef void value_type;
      template<typename _Tp1>
        struct rebind
        { typedef allocator<_Tp1> other; };
    };
  template<typename _Tp>
    class allocator: public __gnu_cxx::new_allocator<_Tp>
    {
   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;
      template<typename _Tp1>
        struct rebind
        { typedef allocator<_Tp1> other; };
      allocator() throw() { }
      allocator(const allocator& __a) throw()
      : __gnu_cxx::new_allocator<_Tp>(__a) { }
      template<typename _Tp1>
        allocator(const allocator<_Tp1>&) throw() { }
      ~allocator() throw() { }
    };
  template<typename _T1, typename _T2>
    inline bool
    operator==(const allocator<_T1>&, const allocator<_T2>&)
    { return true; }
  template<typename _Tp>
    inline bool
    operator==(const allocator<_Tp>&, const allocator<_Tp>&)
    { return true; }
  template<typename _T1, typename _T2>
    inline bool
    operator!=(const allocator<_T1>&, const allocator<_T2>&)
    { return false; }
  template<typename _Tp>
    inline bool
    operator!=(const allocator<_Tp>&, const allocator<_Tp>&)
    { return false; }
  extern template class allocator<char>;
  extern template class allocator<wchar_t>;
  template<typename _Alloc, bool = __is_empty(_Alloc)>
    struct __alloc_swap
    { static void _S_do_it(_Alloc&, _Alloc&) { } };
  template<typename _Alloc>
    struct __alloc_swap<_Alloc, false>
    {
      static void
      _S_do_it(_Alloc& __one, _Alloc& __two)
      {
 if (__one != __two)
   swap(__one, __two);
      }
    };
  template<typename _Alloc, bool = __is_empty(_Alloc)>
    struct __alloc_neq
    {
      static bool
      _S_do_it(const _Alloc&, const _Alloc&)
      { return false; }
    };
  template<typename _Alloc>
    struct __alloc_neq<_Alloc, false>
    {
      static bool
      _S_do_it(const _Alloc& __one, const _Alloc& __two)
      { return __one != __two; }
    };
  template<typename _Tp, bool
    = __or_<is_copy_constructible<typename _Tp::value_type>,
            is_nothrow_move_constructible<typename _Tp::value_type>>::value>
    struct __shrink_to_fit_aux
    { static bool _S_do_it(_Tp&) { return false; } };
  template<typename _Tp>
    struct __shrink_to_fit_aux<_Tp, true>
    {
      static bool
      _S_do_it(_Tp& __c)
      {
 try
   {
     _Tp(__make_move_if_noexcept_iterator(__c.begin()),
  __make_move_if_noexcept_iterator(__c.end()),
  __c.get_allocator()).swap(__c);
     return true;
   }
 catch(...)
   { return false; }
      }
    };
  template<typename, typename>
    struct uses_allocator;

}
       
namespace std __attribute__ ((__visibility__ ("default")))
{

template<typename _Tp> class __has_element_type_helper : __sfinae_types { template<typename _Up> struct _Wrap_type { }; template<typename _Up> static __one __test(_Wrap_type<typename _Up::element_type>*); template<typename _Up> static __two __test(...); public: static constexpr bool value = sizeof(__test<_Tp>(0)) == 1; }; template<typename _Tp> struct __has_element_type : integral_constant<bool, __has_element_type_helper <typename remove_cv<_Tp>::type>::value> { };
template<typename _Tp> class __has_difference_type_helper : __sfinae_types { template<typename _Up> struct _Wrap_type { }; template<typename _Up> static __one __test(_Wrap_type<typename _Up::difference_type>*); template<typename _Up> static __two __test(...); public: static constexpr bool value = sizeof(__test<_Tp>(0)) == 1; }; template<typename _Tp> struct __has_difference_type : integral_constant<bool, __has_difference_type_helper <typename remove_cv<_Tp>::type>::value> { };
  template<typename _Tp, bool = __has_element_type<_Tp>::value>
    struct __ptrtr_elt_type;
  template<typename _Tp>
    struct __ptrtr_elt_type<_Tp, true>
    {
      typedef typename _Tp::element_type __type;
    };
  template<template<typename, typename...> class _SomePtr, typename _Tp,
            typename... _Args>
    struct __ptrtr_elt_type<_SomePtr<_Tp, _Args...>, false>
    {
      typedef _Tp __type;
    };
  template<typename _Tp, bool = __has_difference_type<_Tp>::value>
    struct __ptrtr_diff_type
    {
      typedef typename _Tp::difference_type __type;
    };
  template<typename _Tp>
    struct __ptrtr_diff_type<_Tp, false>
    {
      typedef ptrdiff_t __type;
    };
  template<typename _Ptr, typename _Up>
    class __ptrtr_rebind_helper
    {
      template<typename _Ptr2, typename _Up2>
 static constexpr bool
        _S_chk(typename _Ptr2::template rebind<_Up2>*)
        { return true; }
      template<typename, typename>
        static constexpr bool
        _S_chk(...)
        { return false; }
    public:
      static const bool __value = _S_chk<_Ptr, _Up>(nullptr);
    };
  template<typename _Ptr, typename _Up>
    const bool __ptrtr_rebind_helper<_Ptr, _Up>::__value;
  template<typename _Tp, typename _Up,
           bool = __ptrtr_rebind_helper<_Tp, _Up>::__value>
    struct __ptrtr_rebind;
  template<typename _Tp, typename _Up>
    struct __ptrtr_rebind<_Tp, _Up, true>
    {
      typedef typename _Tp::template rebind<_Up> __type;
    };
  template<template<typename, typename...> class _SomePtr, typename _Up,
            typename _Tp, typename... _Args>
    struct __ptrtr_rebind<_SomePtr<_Tp, _Args...>, _Up, false>
    {
      typedef _SomePtr<_Up, _Args...> __type;
    };
  template<typename _Tp, typename = typename remove_cv<_Tp>::type>
    struct __ptrtr_not_void
    {
      typedef _Tp __type;
    };
  template<typename _Tp>
    struct __ptrtr_not_void<_Tp, void>
    {
      struct __type { };
    };
  template<typename _Ptr>
    class __ptrtr_pointer_to
    {
      typedef typename __ptrtr_elt_type<_Ptr>::__type __orig_type;
      typedef typename __ptrtr_not_void<__orig_type>::__type __element_type;
    public:
      static _Ptr pointer_to(__element_type& __e)
      { return _Ptr::pointer_to(__e); }
    };
  template<typename _Ptr>
    struct pointer_traits : __ptrtr_pointer_to<_Ptr>
    {
      typedef _Ptr pointer;
      typedef typename __ptrtr_elt_type<_Ptr>::__type element_type;
      typedef typename __ptrtr_diff_type<_Ptr>::__type difference_type;
      template<typename _Up>
        using rebind = typename __ptrtr_rebind<_Ptr, _Up>::__type;
    };
  template<typename _Tp>
    struct pointer_traits<_Tp*>
    {
      typedef _Tp* pointer;
      typedef _Tp element_type;
      typedef ptrdiff_t difference_type;
      template<typename _Up>
        using rebind = _Up*;
      static pointer
      pointer_to(typename __ptrtr_not_void<element_type>::__type& __r) noexcept
      { return std::addressof(__r); }
    };

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Alloc, typename _Tp>
    class __alloctr_rebind_helper
    {
      template<typename _Alloc2, typename _Tp2>
 static constexpr bool
        _S_chk(typename _Alloc2::template rebind<_Tp2>::other*)
 { return true; }
      template<typename, typename>
        static constexpr bool
        _S_chk(...)
        { return false; }
    public:
      static const bool __value = _S_chk<_Alloc, _Tp>(nullptr);
    };
  template<typename _Alloc, typename _Tp>
    const bool __alloctr_rebind_helper<_Alloc, _Tp>::__value;
  template<typename _Alloc, typename _Tp,
           bool = __alloctr_rebind_helper<_Alloc, _Tp>::__value>
    struct __alloctr_rebind;
  template<typename _Alloc, typename _Tp>
    struct __alloctr_rebind<_Alloc, _Tp, true>
    {
      typedef typename _Alloc::template rebind<_Tp>::other __type;
    };
  template<template<typename, typename...> class _Alloc, typename _Tp,
            typename _Up, typename... _Args>
    struct __alloctr_rebind<_Alloc<_Up, _Args...>, _Tp, false>
    {
      typedef _Alloc<_Tp, _Args...> __type;
    };
  template<typename _Alloc>
    struct allocator_traits
    {
      typedef _Alloc allocator_type;
      typedef typename _Alloc::value_type value_type;
private: template<typename _Tp> static typename _Tp::pointer _S_pointer_helper(_Tp*); static value_type* _S_pointer_helper(...); typedef decltype(_S_pointer_helper((_Alloc*)0)) __pointer; public:
      typedef __pointer pointer;
private: template<typename _Tp> static typename _Tp::const_pointer _S_const_pointer_helper(_Tp*); static typename pointer_traits<pointer>::template rebind<const value_type> _S_const_pointer_helper(...); typedef decltype(_S_const_pointer_helper((_Alloc*)0)) __const_pointer; public:
      typedef __const_pointer const_pointer;
private: template<typename _Tp> static typename _Tp::void_pointer _S_void_pointer_helper(_Tp*); static typename pointer_traits<pointer>::template rebind<void> _S_void_pointer_helper(...); typedef decltype(_S_void_pointer_helper((_Alloc*)0)) __void_pointer; public:
      typedef __void_pointer void_pointer;
private: template<typename _Tp> static typename _Tp::const_void_pointer _S_const_void_pointer_helper(_Tp*); static typename pointer_traits<pointer>::template rebind<const void> _S_const_void_pointer_helper(...); typedef decltype(_S_const_void_pointer_helper((_Alloc*)0)) __const_void_pointer; public:
      typedef __const_void_pointer const_void_pointer;
private: template<typename _Tp> static typename _Tp::difference_type _S_difference_type_helper(_Tp*); static typename pointer_traits<pointer>::difference_type _S_difference_type_helper(...); typedef decltype(_S_difference_type_helper((_Alloc*)0)) __difference_type; public:
      typedef __difference_type difference_type;
private: template<typename _Tp> static typename _Tp::size_type _S_size_type_helper(_Tp*); static typename make_unsigned<difference_type>::type _S_size_type_helper(...); typedef decltype(_S_size_type_helper((_Alloc*)0)) __size_type; public:
      typedef __size_type size_type;
private: template<typename _Tp> static typename _Tp::propagate_on_container_copy_assignment _S_propagate_on_container_copy_assignment_helper(_Tp*); static false_type _S_propagate_on_container_copy_assignment_helper(...); typedef decltype(_S_propagate_on_container_copy_assignment_helper((_Alloc*)0)) __propagate_on_container_copy_assignment; public:
      typedef __propagate_on_container_copy_assignment
        propagate_on_container_copy_assignment;
private: template<typename _Tp> static typename _Tp::propagate_on_container_move_assignment _S_propagate_on_container_move_assignment_helper(_Tp*); static false_type _S_propagate_on_container_move_assignment_helper(...); typedef decltype(_S_propagate_on_container_move_assignment_helper((_Alloc*)0)) __propagate_on_container_move_assignment; public:
      typedef __propagate_on_container_move_assignment
        propagate_on_container_move_assignment;
private: template<typename _Tp> static typename _Tp::propagate_on_container_swap _S_propagate_on_container_swap_helper(_Tp*); static false_type _S_propagate_on_container_swap_helper(...); typedef decltype(_S_propagate_on_container_swap_helper((_Alloc*)0)) __propagate_on_container_swap; public:
      typedef __propagate_on_container_swap propagate_on_container_swap;
      template<typename _Tp>
        using rebind_alloc = typename __alloctr_rebind<_Alloc, _Tp>::__type;
      template<typename _Tp>
        using rebind_traits = allocator_traits<rebind_alloc<_Tp>>;
    private:
      template<typename _Alloc2>
 struct __allocate_helper
 {
   template<typename _Alloc3,
     typename = decltype(std::declval<_Alloc3*>()->allocate(
    std::declval<size_type>(),
    std::declval<const_void_pointer>()))>
     static true_type __test(int);
   template<typename>
     static false_type __test(...);
   typedef decltype(__test<_Alloc>(0)) type;
   static const bool value = type::value;
 };
      template<typename _Alloc2>
 static typename
        enable_if<__allocate_helper<_Alloc2>::value, pointer>::type
        _S_allocate(_Alloc2& __a, size_type __n, const_void_pointer __hint)
 { return __a.allocate(__n, __hint); }
      template<typename _Alloc2>
 static typename
        enable_if<!__allocate_helper<_Alloc2>::value, pointer>::type
        _S_allocate(_Alloc2& __a, size_type __n, ...)
 { return __a.allocate(__n); }
      template<typename _Tp, typename... _Args>
 struct __construct_helper
 {
   template<typename _Alloc2,
     typename = decltype(std::declval<_Alloc2*>()->construct(
    std::declval<_Tp*>(), std::declval<_Args>()...))>
     static true_type __test(int);
   template<typename>
     static false_type __test(...);
   typedef decltype(__test<_Alloc>(0)) type;
   static const bool value = type::value;
 };
      template<typename _Tp, typename... _Args>
 static typename
        enable_if<__construct_helper<_Tp, _Args...>::value, void>::type
        _S_construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 { __a.construct(__p, std::forward<_Args>(__args)...); }
      template<typename _Tp, typename... _Args>
 static typename
        enable_if<!__construct_helper<_Tp, _Args...>::value, void>::type
        _S_construct(_Alloc&, _Tp* __p, _Args&&... __args)
 { ::new((void*)__p) _Tp(std::forward<_Args>(__args)...); }
      template<typename _Tp>
 struct __destroy_helper
 {
   template<typename _Alloc2,
     typename = decltype(std::declval<_Alloc2*>()->destroy(
    std::declval<_Tp*>()))>
     static true_type __test(int);
   template<typename>
     static false_type __test(...);
   typedef decltype(__test<_Alloc>(0)) type;
   static const bool value = type::value;
 };
      template<typename _Tp>
 static typename enable_if<__destroy_helper<_Tp>::value, void>::type
        _S_destroy(_Alloc& __a, _Tp* __p)
 { __a.destroy(__p); }
      template<typename _Tp>
 static typename enable_if<!__destroy_helper<_Tp>::value, void>::type
        _S_destroy(_Alloc&, _Tp* __p)
 { __p->~_Tp(); }
      template<typename _Alloc2>
 struct __maxsize_helper
 {
   template<typename _Alloc3,
     typename = decltype(std::declval<_Alloc3*>()->max_size())>
     static true_type __test(int);
   template<typename>
     static false_type __test(...);
   typedef decltype(__test<_Alloc2>(0)) type;
   static const bool value = type::value;
 };
      template<typename _Alloc2>
 static typename
        enable_if<__maxsize_helper<_Alloc2>::value, size_type>::type
        _S_max_size(_Alloc2& __a)
 { return __a.max_size(); }
      template<typename _Alloc2>
 static typename
        enable_if<!__maxsize_helper<_Alloc2>::value, size_type>::type
 _S_max_size(_Alloc2&)
 { return __gnu_cxx::__numeric_traits<size_type>::__max; }
      template<typename _Alloc2>
 struct __select_helper
 {
   template<typename _Alloc3, typename
     = decltype(std::declval<_Alloc3*>()
  ->select_on_container_copy_construction())>
     static true_type __test(int);
   template<typename>
     static false_type __test(...);
   typedef decltype(__test<_Alloc2>(0)) type;
   static const bool value = type::value;
 };
      template<typename _Alloc2>
 static typename
        enable_if<__select_helper<_Alloc2>::value, _Alloc2>::type
        _S_select(_Alloc2& __a)
 { return __a.select_on_container_copy_construction(); }
      template<typename _Alloc2>
 static typename
        enable_if<!__select_helper<_Alloc2>::value, _Alloc2>::type
        _S_select(_Alloc2& __a)
 { return __a; }
    public:
      static pointer
      allocate(_Alloc& __a, size_type __n)
      { return __a.allocate(__n); }
      static pointer
      allocate(_Alloc& __a, size_type __n, const_void_pointer __hint)
      { return _S_allocate(__a, __n, __hint); }
      static void deallocate(_Alloc& __a, pointer __p, size_type __n)
      { __a.deallocate(__p, __n); }
      template<typename _Tp, typename... _Args>
 static void construct(_Alloc& __a, _Tp* __p, _Args&&... __args)
 { _S_construct(__a, __p, std::forward<_Args>(__args)...); }
      template <class _Tp>
 static void destroy(_Alloc& __a, _Tp* __p)
 { _S_destroy(__a, __p); }
      static size_type max_size(const _Alloc& __a)
      { return _S_max_size(__a); }
      static _Alloc
      select_on_container_copy_construction(const _Alloc& __rhs)
      { return _S_select(__rhs); }
    };
  template<typename _Alloc>
  template<typename _Alloc2>
    const bool allocator_traits<_Alloc>::__allocate_helper<_Alloc2>::value;
  template<typename _Alloc>
  template<typename _Tp, typename... _Args>
    const bool
    allocator_traits<_Alloc>::__construct_helper<_Tp, _Args...>::value;
  template<typename _Alloc>
  template<typename _Tp>
    const bool allocator_traits<_Alloc>::__destroy_helper<_Tp>::value;
  template<typename _Alloc>
  template<typename _Alloc2>
    const bool allocator_traits<_Alloc>::__maxsize_helper<_Alloc2>::value;
  template<typename _Alloc>
  template<typename _Alloc2>
    const bool allocator_traits<_Alloc>::__select_helper<_Alloc2>::value;
  template<typename _Alloc>
    inline void
    __do_alloc_on_copy(_Alloc& __one, const _Alloc& __two, true_type)
    { __one = __two; }
  template<typename _Alloc>
    inline void
    __do_alloc_on_copy(_Alloc&, const _Alloc&, false_type)
    { }
  template<typename _Alloc>
    inline void __alloc_on_copy(_Alloc& __one, const _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_copy_assignment __pocca;
      __do_alloc_on_copy(__one, __two, __pocca());
    }
  template<typename _Alloc>
    inline _Alloc __alloc_on_copy(const _Alloc& __a)
    {
      typedef allocator_traits<_Alloc> __traits;
      return __traits::select_on_container_copy_construction(__a);
    }
  template<typename _Alloc>
    inline void __do_alloc_on_move(_Alloc& __one, _Alloc& __two, true_type)
    { __one = std::move(__two); }
  template<typename _Alloc>
    inline void __do_alloc_on_move(_Alloc&, _Alloc&, false_type)
    { }
  template<typename _Alloc>
    inline void __alloc_on_move(_Alloc& __one, _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_move_assignment __pocma;
      __do_alloc_on_move(__one, __two, __pocma());
    }
  template<typename _Alloc>
    inline void __do_alloc_on_swap(_Alloc& __one, _Alloc& __two, true_type)
    {
      using std::swap;
      swap(__one, __two);
    }
  template<typename _Alloc>
    inline void __do_alloc_on_swap(_Alloc&, _Alloc&, false_type)
    { }
  template<typename _Alloc>
    inline void __alloc_on_swap(_Alloc& __one, _Alloc& __two)
    {
      typedef allocator_traits<_Alloc> __traits;
      typedef typename __traits::propagate_on_container_swap __pocs;
      __do_alloc_on_swap(__one, __two, __pocs());
    }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename> struct allocator;

}
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

  template<typename _Alloc>
    struct __allocator_always_compares_equal
    { static const bool value = false; };
  template<typename _Alloc>
    const bool __allocator_always_compares_equal<_Alloc>::value;
  template<typename _Tp>
    struct __allocator_always_compares_equal<std::allocator<_Tp>>
    { static const bool value = true; };
  template<typename _Tp>
    const bool __allocator_always_compares_equal<std::allocator<_Tp>>::value;
  template<typename, typename> struct array_allocator;
  template<typename _Tp, typename _Array>
    struct __allocator_always_compares_equal<array_allocator<_Tp, _Array>>
    { static const bool value = true; };
  template<typename _Tp, typename _Array>
    const bool
    __allocator_always_compares_equal<array_allocator<_Tp, _Array>>::value;
  template<typename> struct mt_allocator;
  template<typename _Tp>
    struct __allocator_always_compares_equal<mt_allocator<_Tp>>
    { static const bool value = true; };
  template<typename _Tp>
    const bool __allocator_always_compares_equal<mt_allocator<_Tp>>::value;
  template<typename> struct new_allocator;
  template<typename _Tp>
    struct __allocator_always_compares_equal<new_allocator<_Tp>>
    { static const bool value = true; };
  template<typename _Tp>
    const bool __allocator_always_compares_equal<new_allocator<_Tp>>::value;
  template<typename> struct pool_allocator;
  template<typename _Tp>
    struct __allocator_always_compares_equal<pool_allocator<_Tp>>
    { static const bool value = true; };
  template<typename _Tp>
    const bool __allocator_always_compares_equal<pool_allocator<_Tp>>::value;
template<typename _Alloc>
  struct __alloc_traits
  : std::allocator_traits<_Alloc>
  {
    typedef _Alloc allocator_type;
    typedef std::allocator_traits<_Alloc> _Base_type;
    typedef typename _Base_type::value_type value_type;
    typedef typename _Base_type::pointer pointer;
    typedef typename _Base_type::const_pointer const_pointer;
    typedef typename _Base_type::size_type size_type;
    typedef value_type& reference;
    typedef const value_type& const_reference;
    using _Base_type::allocate;
    using _Base_type::deallocate;
    using _Base_type::construct;
    using _Base_type::destroy;
    using _Base_type::max_size;
  private:
    template<typename _Ptr>
      struct __is_custom_pointer
      : std::integral_constant<bool, std::is_same<pointer, _Ptr>::value
                                     && !std::is_pointer<_Ptr>::value>
      { };
  public:
    template<typename _Ptr, typename... _Args>
      static typename std::enable_if<__is_custom_pointer<_Ptr>::value>::type
      construct(_Alloc& __a, _Ptr __p, _Args&&... __args)
      {
 _Base_type::construct(__a, std::addressof(*__p),
         std::forward<_Args>(__args)...);
      }
    template<typename _Ptr>
      static typename std::enable_if<__is_custom_pointer<_Ptr>::value>::type
      destroy(_Alloc& __a, _Ptr __p)
      { _Base_type::destroy(__a, std::addressof(*__p)); }
    static _Alloc _S_select_on_copy(const _Alloc& __a)
    { return _Base_type::select_on_container_copy_construction(__a); }
    static void _S_on_swap(_Alloc& __a, _Alloc& __b)
    { std::__alloc_on_swap(__a, __b); }
    static constexpr bool _S_propagate_on_copy_assign()
    { return _Base_type::propagate_on_container_copy_assignment::value; }
    static constexpr bool _S_propagate_on_move_assign()
    { return _Base_type::propagate_on_container_move_assignment::value; }
    static constexpr bool _S_propagate_on_swap()
    { return _Base_type::propagate_on_container_swap::value; }
    static constexpr bool _S_always_equal()
    { return __allocator_always_compares_equal<_Alloc>::value; }
    static constexpr bool _S_nothrow_move()
    { return _S_propagate_on_move_assign() || _S_always_equal(); }
    static constexpr bool _S_nothrow_swap()
    {
      using std::swap;
      return !_S_propagate_on_swap()
        || noexcept(swap(std::declval<_Alloc&>(), std::declval<_Alloc&>()));
    }
    template<typename _Tp>
      struct rebind
      { typedef typename _Base_type::template rebind_alloc<_Tp> other; };
  };

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _T1, typename... _Args>
    inline void
    _Construct(_T1* __p, _Args&&... __args)
    { ::new(static_cast<void*>(__p)) _T1(std::forward<_Args>(__args)...); }
  template<typename _Tp>
    inline void
    _Destroy(_Tp* __pointer)
    { __pointer->~_Tp(); }
  template<bool>
    struct _Destroy_aux
    {
      template<typename _ForwardIterator>
        static void
        __destroy(_ForwardIterator __first, _ForwardIterator __last)
 {
   for (; __first != __last; ++__first)
     std::_Destroy(std::__addressof(*__first));
 }
    };
  template<>
    struct _Destroy_aux<true>
    {
      template<typename _ForwardIterator>
        static void
        __destroy(_ForwardIterator, _ForwardIterator) { }
    };
  template<typename _ForwardIterator>
    inline void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
                       _Value_type;
      std::_Destroy_aux<__has_trivial_destructor(_Value_type)>::
 __destroy(__first, __last);
    }
  template <typename _Tp> class allocator;
  template<typename _ForwardIterator, typename _Allocator>
    void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last,
      _Allocator& __alloc)
    {
      typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
      for (; __first != __last; ++__first)
 __traits::destroy(__alloc, std::__addressof(*__first));
    }
  template<typename _ForwardIterator, typename _Tp>
    inline void
    _Destroy(_ForwardIterator __first, _ForwardIterator __last,
      allocator<_Tp>&)
    {
      _Destroy(__first, __last);
    }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<bool _TrivialValueTypes>
    struct __uninitialized_copy
    {
      template<typename _InputIterator, typename _ForwardIterator>
        static _ForwardIterator
        __uninit_copy(_InputIterator __first, _InputIterator __last,
        _ForwardIterator __result)
        {
   _ForwardIterator __cur = __result;
   try
     {
       for (; __first != __last; ++__first, ++__cur)
  std::_Construct(std::__addressof(*__cur), *__first);
       return __cur;
     }
   catch(...)
     {
       std::_Destroy(__result, __cur);
       throw;
     }
 }
    };
  template<>
    struct __uninitialized_copy<true>
    {
      template<typename _InputIterator, typename _ForwardIterator>
        static _ForwardIterator
        __uninit_copy(_InputIterator __first, _InputIterator __last,
        _ForwardIterator __result)
        { return std::copy(__first, __last, __result); }
    };
  template<typename _InputIterator, typename _ForwardIterator>
    inline _ForwardIterator
    uninitialized_copy(_InputIterator __first, _InputIterator __last,
         _ForwardIterator __result)
    {
      typedef typename iterator_traits<_InputIterator>::value_type
 _ValueType1;
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType2;
      return std::__uninitialized_copy<(__is_trivial(_ValueType1)
     && __is_trivial(_ValueType2))>::
 __uninit_copy(__first, __last, __result);
    }
  template<bool _TrivialValueType>
    struct __uninitialized_fill
    {
      template<typename _ForwardIterator, typename _Tp>
        static void
        __uninit_fill(_ForwardIterator __first, _ForwardIterator __last,
        const _Tp& __x)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __cur != __last; ++__cur)
  std::_Construct(std::__addressof(*__cur), __x);
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };
  template<>
    struct __uninitialized_fill<true>
    {
      template<typename _ForwardIterator, typename _Tp>
        static void
        __uninit_fill(_ForwardIterator __first, _ForwardIterator __last,
        const _Tp& __x)
        { std::fill(__first, __last, __x); }
    };
  template<typename _ForwardIterator, typename _Tp>
    inline void
    uninitialized_fill(_ForwardIterator __first, _ForwardIterator __last,
         const _Tp& __x)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;
      std::__uninitialized_fill<__is_trivial(_ValueType)>::
 __uninit_fill(__first, __last, __x);
    }
  template<bool _TrivialValueType>
    struct __uninitialized_fill_n
    {
      template<typename _ForwardIterator, typename _Size, typename _Tp>
        static void
        __uninit_fill_n(_ForwardIterator __first, _Size __n,
   const _Tp& __x)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __n > 0; --__n, ++__cur)
  std::_Construct(std::__addressof(*__cur), __x);
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };
  template<>
    struct __uninitialized_fill_n<true>
    {
      template<typename _ForwardIterator, typename _Size, typename _Tp>
        static void
        __uninit_fill_n(_ForwardIterator __first, _Size __n,
   const _Tp& __x)
        { std::fill_n(__first, __n, __x); }
    };
  template<typename _ForwardIterator, typename _Size, typename _Tp>
    inline void
    uninitialized_fill_n(_ForwardIterator __first, _Size __n, const _Tp& __x)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;
      std::__uninitialized_fill_n<__is_trivial(_ValueType)>::
 __uninit_fill_n(__first, __n, __x);
    }
  template<typename _InputIterator, typename _ForwardIterator,
    typename _Allocator>
    _ForwardIterator
    __uninitialized_copy_a(_InputIterator __first, _InputIterator __last,
      _ForwardIterator __result, _Allocator& __alloc)
    {
      _ForwardIterator __cur = __result;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __first != __last; ++__first, ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur), *__first);
   return __cur;
 }
      catch(...)
 {
   std::_Destroy(__result, __cur, __alloc);
   throw;
 }
    }
  template<typename _InputIterator, typename _ForwardIterator, typename _Tp>
    inline _ForwardIterator
    __uninitialized_copy_a(_InputIterator __first, _InputIterator __last,
      _ForwardIterator __result, allocator<_Tp>&)
    { return std::uninitialized_copy(__first, __last, __result); }
  template<typename _InputIterator, typename _ForwardIterator,
    typename _Allocator>
    inline _ForwardIterator
    __uninitialized_move_a(_InputIterator __first, _InputIterator __last,
      _ForwardIterator __result, _Allocator& __alloc)
    {
      return std::__uninitialized_copy_a(std::make_move_iterator(__first),
      std::make_move_iterator(__last),
      __result, __alloc);
    }
  template<typename _InputIterator, typename _ForwardIterator,
    typename _Allocator>
    inline _ForwardIterator
    __uninitialized_move_if_noexcept_a(_InputIterator __first,
           _InputIterator __last,
           _ForwardIterator __result,
           _Allocator& __alloc)
    {
      return std::__uninitialized_copy_a
 (std::__make_move_if_noexcept_iterator(__first),
  std::__make_move_if_noexcept_iterator(__last), __result, __alloc);
    }
  template<typename _ForwardIterator, typename _Tp, typename _Allocator>
    void
    __uninitialized_fill_a(_ForwardIterator __first, _ForwardIterator __last,
      const _Tp& __x, _Allocator& __alloc)
    {
      _ForwardIterator __cur = __first;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __cur != __last; ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur), __x);
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }
  template<typename _ForwardIterator, typename _Tp, typename _Tp2>
    inline void
    __uninitialized_fill_a(_ForwardIterator __first, _ForwardIterator __last,
      const _Tp& __x, allocator<_Tp2>&)
    { std::uninitialized_fill(__first, __last, __x); }
  template<typename _ForwardIterator, typename _Size, typename _Tp,
    typename _Allocator>
    void
    __uninitialized_fill_n_a(_ForwardIterator __first, _Size __n,
        const _Tp& __x, _Allocator& __alloc)
    {
      _ForwardIterator __cur = __first;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __n > 0; --__n, ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur), __x);
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }
  template<typename _ForwardIterator, typename _Size, typename _Tp,
    typename _Tp2>
    inline void
    __uninitialized_fill_n_a(_ForwardIterator __first, _Size __n,
        const _Tp& __x, allocator<_Tp2>&)
    { std::uninitialized_fill_n(__first, __n, __x); }
  template<typename _InputIterator1, typename _InputIterator2,
    typename _ForwardIterator, typename _Allocator>
    inline _ForwardIterator
    __uninitialized_copy_move(_InputIterator1 __first1,
         _InputIterator1 __last1,
         _InputIterator2 __first2,
         _InputIterator2 __last2,
         _ForwardIterator __result,
         _Allocator& __alloc)
    {
      _ForwardIterator __mid = std::__uninitialized_copy_a(__first1, __last1,
          __result,
          __alloc);
      try
 {
   return std::__uninitialized_move_a(__first2, __last2, __mid, __alloc);
 }
      catch(...)
 {
   std::_Destroy(__result, __mid, __alloc);
   throw;
 }
    }
  template<typename _InputIterator1, typename _InputIterator2,
    typename _ForwardIterator, typename _Allocator>
    inline _ForwardIterator
    __uninitialized_move_copy(_InputIterator1 __first1,
         _InputIterator1 __last1,
         _InputIterator2 __first2,
         _InputIterator2 __last2,
         _ForwardIterator __result,
         _Allocator& __alloc)
    {
      _ForwardIterator __mid = std::__uninitialized_move_a(__first1, __last1,
          __result,
          __alloc);
      try
 {
   return std::__uninitialized_copy_a(__first2, __last2, __mid, __alloc);
 }
      catch(...)
 {
   std::_Destroy(__result, __mid, __alloc);
   throw;
 }
    }
  template<typename _ForwardIterator, typename _Tp, typename _InputIterator,
    typename _Allocator>
    inline _ForwardIterator
    __uninitialized_fill_move(_ForwardIterator __result, _ForwardIterator __mid,
         const _Tp& __x, _InputIterator __first,
         _InputIterator __last, _Allocator& __alloc)
    {
      std::__uninitialized_fill_a(__result, __mid, __x, __alloc);
      try
 {
   return std::__uninitialized_move_a(__first, __last, __mid, __alloc);
 }
      catch(...)
 {
   std::_Destroy(__result, __mid, __alloc);
   throw;
 }
    }
  template<typename _InputIterator, typename _ForwardIterator, typename _Tp,
    typename _Allocator>
    inline void
    __uninitialized_move_fill(_InputIterator __first1, _InputIterator __last1,
         _ForwardIterator __first2,
         _ForwardIterator __last2, const _Tp& __x,
         _Allocator& __alloc)
    {
      _ForwardIterator __mid2 = std::__uninitialized_move_a(__first1, __last1,
           __first2,
           __alloc);
      try
 {
   std::__uninitialized_fill_a(__mid2, __last2, __x, __alloc);
 }
      catch(...)
 {
   std::_Destroy(__first2, __mid2, __alloc);
   throw;
 }
    }
  template<bool _TrivialValueType>
    struct __uninitialized_default_1
    {
      template<typename _ForwardIterator>
        static void
        __uninit_default(_ForwardIterator __first, _ForwardIterator __last)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __cur != __last; ++__cur)
  std::_Construct(std::__addressof(*__cur));
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };
  template<>
    struct __uninitialized_default_1<true>
    {
      template<typename _ForwardIterator>
        static void
        __uninit_default(_ForwardIterator __first, _ForwardIterator __last)
        {
   typedef typename iterator_traits<_ForwardIterator>::value_type
     _ValueType;
   std::fill(__first, __last, _ValueType());
 }
    };
  template<bool _TrivialValueType>
    struct __uninitialized_default_n_1
    {
      template<typename _ForwardIterator, typename _Size>
        static void
        __uninit_default_n(_ForwardIterator __first, _Size __n)
        {
   _ForwardIterator __cur = __first;
   try
     {
       for (; __n > 0; --__n, ++__cur)
  std::_Construct(std::__addressof(*__cur));
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };
  template<>
    struct __uninitialized_default_n_1<true>
    {
      template<typename _ForwardIterator, typename _Size>
        static void
        __uninit_default_n(_ForwardIterator __first, _Size __n)
        {
   typedef typename iterator_traits<_ForwardIterator>::value_type
     _ValueType;
   std::fill_n(__first, __n, _ValueType());
 }
    };
  template<typename _ForwardIterator>
    inline void
    __uninitialized_default(_ForwardIterator __first,
       _ForwardIterator __last)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;
      std::__uninitialized_default_1<__is_trivial(_ValueType)>::
 __uninit_default(__first, __last);
    }
  template<typename _ForwardIterator, typename _Size>
    inline void
    __uninitialized_default_n(_ForwardIterator __first, _Size __n)
    {
      typedef typename iterator_traits<_ForwardIterator>::value_type
 _ValueType;
      std::__uninitialized_default_n_1<__is_trivial(_ValueType)>::
 __uninit_default_n(__first, __n);
    }
  template<typename _ForwardIterator, typename _Allocator>
    void
    __uninitialized_default_a(_ForwardIterator __first,
         _ForwardIterator __last,
         _Allocator& __alloc)
    {
      _ForwardIterator __cur = __first;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __cur != __last; ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur));
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }
  template<typename _ForwardIterator, typename _Tp>
    inline void
    __uninitialized_default_a(_ForwardIterator __first,
         _ForwardIterator __last,
         allocator<_Tp>&)
    { std::__uninitialized_default(__first, __last); }
  template<typename _ForwardIterator, typename _Size, typename _Allocator>
    void
    __uninitialized_default_n_a(_ForwardIterator __first, _Size __n,
    _Allocator& __alloc)
    {
      _ForwardIterator __cur = __first;
      try
 {
   typedef __gnu_cxx::__alloc_traits<_Allocator> __traits;
   for (; __n > 0; --__n, ++__cur)
     __traits::construct(__alloc, std::__addressof(*__cur));
 }
      catch(...)
 {
   std::_Destroy(__first, __cur, __alloc);
   throw;
 }
    }
  template<typename _ForwardIterator, typename _Size, typename _Tp>
    inline void
    __uninitialized_default_n_a(_ForwardIterator __first, _Size __n,
    allocator<_Tp>&)
    { std::__uninitialized_default_n(__first, __n); }
  template<typename _InputIterator, typename _Size,
    typename _ForwardIterator>
    _ForwardIterator
    __uninitialized_copy_n(_InputIterator __first, _Size __n,
      _ForwardIterator __result, input_iterator_tag)
    {
      _ForwardIterator __cur = __result;
      try
 {
   for (; __n > 0; --__n, ++__first, ++__cur)
     std::_Construct(std::__addressof(*__cur), *__first);
   return __cur;
 }
      catch(...)
 {
   std::_Destroy(__result, __cur);
   throw;
 }
    }
  template<typename _RandomAccessIterator, typename _Size,
    typename _ForwardIterator>
    inline _ForwardIterator
    __uninitialized_copy_n(_RandomAccessIterator __first, _Size __n,
      _ForwardIterator __result,
      random_access_iterator_tag)
    { return std::uninitialized_copy(__first, __first + __n, __result); }
  template<typename _InputIterator, typename _Size, typename _ForwardIterator>
    inline _ForwardIterator
    uninitialized_copy_n(_InputIterator __first, _Size __n,
    _ForwardIterator __result)
    { return std::__uninitialized_copy_n(__first, __n, __result,
      std::__iterator_category(__first)); }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Tp>
    pair<_Tp*, ptrdiff_t>
    get_temporary_buffer(ptrdiff_t __len) noexcept
    {
      const ptrdiff_t __max =
 __gnu_cxx::__numeric_traits<ptrdiff_t>::__max / sizeof(_Tp);
      if (__len > __max)
 __len = __max;
      while (__len > 0)
 {
   _Tp* __tmp = static_cast<_Tp*>(::operator new(__len * sizeof(_Tp),
       std::nothrow));
   if (__tmp != 0)
     return std::pair<_Tp*, ptrdiff_t>(__tmp, __len);
   __len /= 2;
 }
      return std::pair<_Tp*, ptrdiff_t>(static_cast<_Tp*>(0), 0);
    }
  template<typename _Tp>
    inline void
    return_temporary_buffer(_Tp* __p)
    { ::operator delete(__p, std::nothrow); }
  template<typename _ForwardIterator, typename _Tp>
    class _Temporary_buffer
    {
     
    public:
      typedef _Tp value_type;
      typedef value_type* pointer;
      typedef pointer iterator;
      typedef ptrdiff_t size_type;
    protected:
      size_type _M_original_len;
      size_type _M_len;
      pointer _M_buffer;
    public:
      size_type
      size() const
      { return _M_len; }
      size_type
      requested_size() const
      { return _M_original_len; }
      iterator
      begin()
      { return _M_buffer; }
      iterator
      end()
      { return _M_buffer + _M_len; }
      _Temporary_buffer(_ForwardIterator __first, _ForwardIterator __last);
      ~_Temporary_buffer()
      {
 std::_Destroy(_M_buffer, _M_buffer + _M_len);
 std::return_temporary_buffer(_M_buffer);
      }
    private:
      _Temporary_buffer(const _Temporary_buffer&);
      void
      operator=(const _Temporary_buffer&);
    };
  template<bool>
    struct __uninitialized_construct_buf_dispatch
    {
      template<typename _ForwardIterator, typename _Tp>
        static void
        __ucr(_ForwardIterator __first, _ForwardIterator __last,
       _Tp& __value)
        {
   if(__first == __last)
     return;
   _ForwardIterator __cur = __first;
   try
     {
       std::_Construct(std::__addressof(*__first),
         std::move(__value));
       _ForwardIterator __prev = __cur;
       ++__cur;
       for(; __cur != __last; ++__cur, ++__prev)
  std::_Construct(std::__addressof(*__cur),
    std::move(*__prev));
       __value = std::move(*__prev);
     }
   catch(...)
     {
       std::_Destroy(__first, __cur);
       throw;
     }
 }
    };
  template<>
    struct __uninitialized_construct_buf_dispatch<true>
    {
      template<typename _ForwardIterator, typename _Tp>
        static void
        __ucr(_ForwardIterator, _ForwardIterator, _Tp&) { }
    };
  template<typename _ForwardIterator, typename _Tp>
    inline void
    __uninitialized_construct_buf(_ForwardIterator __first,
      _ForwardIterator __last,
      _Tp& __value)
    {
      typedef typename std::iterator_traits<_ForwardIterator>::value_type
 _ValueType;
      std::__uninitialized_construct_buf_dispatch<
        __has_trivial_constructor(_ValueType)>::
   __ucr(__first, __last, __value);
    }
  template<typename _ForwardIterator, typename _Tp>
    _Temporary_buffer<_ForwardIterator, _Tp>::
    _Temporary_buffer(_ForwardIterator __first, _ForwardIterator __last)
    : _M_original_len(std::distance(__first, __last)),
      _M_len(0), _M_buffer(0)
    {
      try
 {
   std::pair<pointer, size_type> __p(std::get_temporary_buffer<
         value_type>(_M_original_len));
   _M_buffer = __p.first;
   _M_len = __p.second;
   if(_M_buffer)
     std::__uninitialized_construct_buf(_M_buffer, _M_buffer + _M_len,
            *__first);
 }
      catch(...)
 {
   std::return_temporary_buffer(_M_buffer);
   _M_buffer = 0;
   _M_len = 0;
   throw;
 }
    }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template <class _OutputIterator, class _Tp>
    class raw_storage_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _OutputIterator _M_iter;
    public:
      explicit
      raw_storage_iterator(_OutputIterator __x)
      : _M_iter(__x) {}
      raw_storage_iterator&
      operator*() { return *this; }
      raw_storage_iterator&
      operator=(const _Tp& __element)
      {
 std::_Construct(std::__addressof(*_M_iter), __element);
 return *this;
      }
      raw_storage_iterator<_OutputIterator, _Tp>&
      operator++()
      {
 ++_M_iter;
 return *this;
      }
      raw_storage_iterator<_OutputIterator, _Tp>
      operator++(int)
      {
 raw_storage_iterator<_OutputIterator, _Tp> __tmp = *this;
 ++_M_iter;
 return __tmp;
      }
    };

}
       
       
namespace std
{

  size_t
  _Hash_bytes(const void* __ptr, size_t __len, size_t __seed);
  size_t
  _Fnv_hash_bytes(const void* __ptr, size_t __len, size_t __seed);

}
#pragma GCC visibility push(default)
extern "C++" {
namespace __cxxabiv1
{
  class __class_type_info;
}
namespace std
{
  class type_info
  {
  public:
    virtual ~type_info();
    const char* name() const
    { return __name[0] == '*' ? __name + 1 : __name; }
    bool before(const type_info& __arg) const
    { return (__name[0] == '*' && __arg.__name[0] == '*')
 ? __name < __arg.__name
 : __builtin_strcmp (__name, __arg.__name) < 0; }
    bool operator==(const type_info& __arg) const
    {
      return ((__name == __arg.__name)
       || (__name[0] != '*' &&
    __builtin_strcmp (__name, __arg.__name) == 0));
    }
    bool operator!=(const type_info& __arg) const
    { return !operator==(__arg); }
    size_t hash_code() const noexcept
    {
      return _Hash_bytes(name(), __builtin_strlen(name()),
    static_cast<size_t>(0xc70f6907UL));
    }
    virtual bool __is_pointer_p() const;
    virtual bool __is_function_p() const;
    virtual bool __do_catch(const type_info *__thr_type, void **__thr_obj,
       unsigned __outer) const;
    virtual bool __do_upcast(const __cxxabiv1::__class_type_info *__target,
        void **__obj_ptr) const;
  protected:
    const char *__name;
    explicit type_info(const char *__n): __name(__n) { }
  private:
    type_info& operator=(const type_info&);
    type_info(const type_info&);
  };
  class bad_cast : public exception
  {
  public:
    bad_cast() noexcept { }
    virtual ~bad_cast() noexcept;
    virtual const char* what() const noexcept;
  };
  class bad_typeid : public exception
  {
  public:
    bad_typeid () noexcept { }
    virtual ~bad_typeid() noexcept;
    virtual const char* what() const noexcept;
  };
}
}
#pragma GCC visibility pop
       
       
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Alloc>
    class allocator;
  template<class _CharT>
    struct char_traits;
  template<typename _CharT, typename _Traits = char_traits<_CharT>,
           typename _Alloc = allocator<_CharT> >
    class basic_string;
  template<> struct char_traits<char>;
  typedef basic_string<char> string;
  template<> struct char_traits<wchar_t>;
  typedef basic_string<wchar_t> wstring;
  template<> struct char_traits<char16_t>;
  template<> struct char_traits<char32_t>;
  typedef basic_string<char16_t> u16string;
  typedef basic_string<char32_t> u32string;

}
       
       
struct _IO_FILE;

typedef struct _IO_FILE FILE;


typedef struct _IO_FILE __FILE;
typedef __builtin_va_list __gnuc_va_list;
typedef long unsigned int size_t;
typedef unsigned int wint_t;
typedef struct
{
  int __count;
  union
  {
    unsigned int __wch;
    char __wchb[4];
  } __value;
} __mbstate_t;

typedef __mbstate_t mbstate_t;


extern "C" {

struct tm;



extern wchar_t *wcscpy (wchar_t *__restrict __dest,
   __const wchar_t *__restrict __src) throw ();
extern wchar_t *wcsncpy (wchar_t *__restrict __dest,
    __const wchar_t *__restrict __src, size_t __n)
     throw ();
extern wchar_t *wcscat (wchar_t *__restrict __dest,
   __const wchar_t *__restrict __src) throw ();
extern wchar_t *wcsncat (wchar_t *__restrict __dest,
    __const wchar_t *__restrict __src, size_t __n)
     throw ();
extern int wcscmp (__const wchar_t *__s1, __const wchar_t *__s2)
     throw () __attribute__ ((__pure__));
extern int wcsncmp (__const wchar_t *__s1, __const wchar_t *__s2, size_t __n)
     throw () __attribute__ ((__pure__));

extern int wcscasecmp (__const wchar_t *__s1, __const wchar_t *__s2) throw ();
extern int wcsncasecmp (__const wchar_t *__s1, __const wchar_t *__s2,
   size_t __n) throw ();
typedef struct __locale_struct
{
  struct __locale_data *__locales[13];
  const unsigned short int *__ctype_b;
  const int *__ctype_tolower;
  const int *__ctype_toupper;
  const char *__names[13];
} *__locale_t;
typedef __locale_t locale_t;
extern int wcscasecmp_l (__const wchar_t *__s1, __const wchar_t *__s2,
    __locale_t __loc) throw ();
extern int wcsncasecmp_l (__const wchar_t *__s1, __const wchar_t *__s2,
     size_t __n, __locale_t __loc) throw ();

extern int wcscoll (__const wchar_t *__s1, __const wchar_t *__s2) throw ();
extern size_t wcsxfrm (wchar_t *__restrict __s1,
         __const wchar_t *__restrict __s2, size_t __n) throw ();

extern int wcscoll_l (__const wchar_t *__s1, __const wchar_t *__s2,
        __locale_t __loc) throw ();
extern size_t wcsxfrm_l (wchar_t *__s1, __const wchar_t *__s2,
    size_t __n, __locale_t __loc) throw ();
extern wchar_t *wcsdup (__const wchar_t *__s) throw () __attribute__ ((__malloc__));

extern "C++" wchar_t *wcschr (wchar_t *__wcs, wchar_t __wc)
     throw () __asm ("wcschr") __attribute__ ((__pure__));
extern "C++" __const wchar_t *wcschr (__const wchar_t *__wcs, wchar_t __wc)
     throw () __asm ("wcschr") __attribute__ ((__pure__));
extern "C++" wchar_t *wcsrchr (wchar_t *__wcs, wchar_t __wc)
     throw () __asm ("wcsrchr") __attribute__ ((__pure__));
extern "C++" __const wchar_t *wcsrchr (__const wchar_t *__wcs, wchar_t __wc)
     throw () __asm ("wcsrchr") __attribute__ ((__pure__));

extern wchar_t *wcschrnul (__const wchar_t *__s, wchar_t __wc)
     throw () __attribute__ ((__pure__));

extern size_t wcscspn (__const wchar_t *__wcs, __const wchar_t *__reject)
     throw () __attribute__ ((__pure__));
extern size_t wcsspn (__const wchar_t *__wcs, __const wchar_t *__accept)
     throw () __attribute__ ((__pure__));
extern "C++" wchar_t *wcspbrk (wchar_t *__wcs, __const wchar_t *__accept)
     throw () __asm ("wcspbrk") __attribute__ ((__pure__));
extern "C++" __const wchar_t *wcspbrk (__const wchar_t *__wcs,
           __const wchar_t *__accept)
     throw () __asm ("wcspbrk") __attribute__ ((__pure__));
extern "C++" wchar_t *wcsstr (wchar_t *__haystack, __const wchar_t *__needle)
     throw () __asm ("wcsstr") __attribute__ ((__pure__));
extern "C++" __const wchar_t *wcsstr (__const wchar_t *__haystack,
          __const wchar_t *__needle)
     throw () __asm ("wcsstr") __attribute__ ((__pure__));
extern wchar_t *wcstok (wchar_t *__restrict __s,
   __const wchar_t *__restrict __delim,
   wchar_t **__restrict __ptr) throw ();
extern size_t wcslen (__const wchar_t *__s) throw () __attribute__ ((__pure__));

extern "C++" wchar_t *wcswcs (wchar_t *__haystack, __const wchar_t *__needle)
     throw () __asm ("wcswcs") __attribute__ ((__pure__));
extern "C++" __const wchar_t *wcswcs (__const wchar_t *__haystack,
          __const wchar_t *__needle)
     throw () __asm ("wcswcs") __attribute__ ((__pure__));
extern size_t wcsnlen (__const wchar_t *__s, size_t __maxlen)
     throw () __attribute__ ((__pure__));

extern "C++" wchar_t *wmemchr (wchar_t *__s, wchar_t __c, size_t __n)
     throw () __asm ("wmemchr") __attribute__ ((__pure__));
extern "C++" __const wchar_t *wmemchr (__const wchar_t *__s, wchar_t __c,
           size_t __n)
     throw () __asm ("wmemchr") __attribute__ ((__pure__));
extern int wmemcmp (__const wchar_t *__restrict __s1,
      __const wchar_t *__restrict __s2, size_t __n)
     throw () __attribute__ ((__pure__));
extern wchar_t *wmemcpy (wchar_t *__restrict __s1,
    __const wchar_t *__restrict __s2, size_t __n) throw ();
extern wchar_t *wmemmove (wchar_t *__s1, __const wchar_t *__s2, size_t __n)
     throw ();
extern wchar_t *wmemset (wchar_t *__s, wchar_t __c, size_t __n) throw ();

extern wchar_t *wmempcpy (wchar_t *__restrict __s1,
     __const wchar_t *__restrict __s2, size_t __n)
     throw ();

extern wint_t btowc (int __c) throw ();
extern int wctob (wint_t __c) throw ();
extern int mbsinit (__const mbstate_t *__ps) throw () __attribute__ ((__pure__));
extern size_t mbrtowc (wchar_t *__restrict __pwc,
         __const char *__restrict __s, size_t __n,
         mbstate_t *__p) throw ();
extern size_t wcrtomb (char *__restrict __s, wchar_t __wc,
         mbstate_t *__restrict __ps) throw ();
extern size_t __mbrlen (__const char *__restrict __s, size_t __n,
   mbstate_t *__restrict __ps) throw ();
extern size_t mbrlen (__const char *__restrict __s, size_t __n,
        mbstate_t *__restrict __ps) throw ();


extern size_t mbsrtowcs (wchar_t *__restrict __dst,
    __const char **__restrict __src, size_t __len,
    mbstate_t *__restrict __ps) throw ();
extern size_t wcsrtombs (char *__restrict __dst,
    __const wchar_t **__restrict __src, size_t __len,
    mbstate_t *__restrict __ps) throw ();

extern size_t mbsnrtowcs (wchar_t *__restrict __dst,
     __const char **__restrict __src, size_t __nmc,
     size_t __len, mbstate_t *__restrict __ps) throw ();
extern size_t wcsnrtombs (char *__restrict __dst,
     __const wchar_t **__restrict __src,
     size_t __nwc, size_t __len,
     mbstate_t *__restrict __ps) throw ();
extern int wcwidth (wchar_t __c) throw ();
extern int wcswidth (__const wchar_t *__s, size_t __n) throw ();

extern double wcstod (__const wchar_t *__restrict __nptr,
        wchar_t **__restrict __endptr) throw ();


extern float wcstof (__const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();
extern long double wcstold (__const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr) throw ();


extern long int wcstol (__const wchar_t *__restrict __nptr,
   wchar_t **__restrict __endptr, int __base) throw ();
extern unsigned long int wcstoul (__const wchar_t *__restrict __nptr,
      wchar_t **__restrict __endptr, int __base)
     throw ();


__extension__
extern long long int wcstoll (__const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr, int __base)
     throw ();
__extension__
extern unsigned long long int wcstoull (__const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr,
     int __base) throw ();

__extension__
extern long long int wcstoq (__const wchar_t *__restrict __nptr,
        wchar_t **__restrict __endptr, int __base)
     throw ();
__extension__
extern unsigned long long int wcstouq (__const wchar_t *__restrict __nptr,
           wchar_t **__restrict __endptr,
           int __base) throw ();
extern long int wcstol_l (__const wchar_t *__restrict __nptr,
     wchar_t **__restrict __endptr, int __base,
     __locale_t __loc) throw ();
extern unsigned long int wcstoul_l (__const wchar_t *__restrict __nptr,
        wchar_t **__restrict __endptr,
        int __base, __locale_t __loc) throw ();
__extension__
extern long long int wcstoll_l (__const wchar_t *__restrict __nptr,
    wchar_t **__restrict __endptr,
    int __base, __locale_t __loc) throw ();
__extension__
extern unsigned long long int wcstoull_l (__const wchar_t *__restrict __nptr,
       wchar_t **__restrict __endptr,
       int __base, __locale_t __loc)
     throw ();
extern double wcstod_l (__const wchar_t *__restrict __nptr,
   wchar_t **__restrict __endptr, __locale_t __loc)
     throw ();
extern float wcstof_l (__const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr, __locale_t __loc)
     throw ();
extern long double wcstold_l (__const wchar_t *__restrict __nptr,
         wchar_t **__restrict __endptr,
         __locale_t __loc) throw ();
extern wchar_t *wcpcpy (wchar_t *__restrict __dest,
   __const wchar_t *__restrict __src) throw ();
extern wchar_t *wcpncpy (wchar_t *__restrict __dest,
    __const wchar_t *__restrict __src, size_t __n)
     throw ();
extern __FILE *open_wmemstream (wchar_t **__bufloc, size_t *__sizeloc) throw ();

extern int fwide (__FILE *__fp, int __mode) throw ();
extern int fwprintf (__FILE *__restrict __stream,
       __const wchar_t *__restrict __format, ...)
                                                           ;
extern int wprintf (__const wchar_t *__restrict __format, ...)
                                                           ;
extern int swprintf (wchar_t *__restrict __s, size_t __n,
       __const wchar_t *__restrict __format, ...)
     throw () ;
extern int vfwprintf (__FILE *__restrict __s,
        __const wchar_t *__restrict __format,
        __gnuc_va_list __arg)
                                                           ;
extern int vwprintf (__const wchar_t *__restrict __format,
       __gnuc_va_list __arg)
                                                           ;
extern int vswprintf (wchar_t *__restrict __s, size_t __n,
        __const wchar_t *__restrict __format,
        __gnuc_va_list __arg)
     throw () ;
extern int fwscanf (__FILE *__restrict __stream,
      __const wchar_t *__restrict __format, ...)
                                                          ;
extern int wscanf (__const wchar_t *__restrict __format, ...)
                                                          ;
extern int swscanf (__const wchar_t *__restrict __s,
      __const wchar_t *__restrict __format, ...)
     throw () ;


extern int vfwscanf (__FILE *__restrict __s,
       __const wchar_t *__restrict __format,
       __gnuc_va_list __arg)
                                                          ;
extern int vwscanf (__const wchar_t *__restrict __format,
      __gnuc_va_list __arg)
                                                          ;
extern int vswscanf (__const wchar_t *__restrict __s,
       __const wchar_t *__restrict __format,
       __gnuc_va_list __arg)
     throw () ;


extern wint_t fgetwc (__FILE *__stream);
extern wint_t getwc (__FILE *__stream);
extern wint_t getwchar (void);
extern wint_t fputwc (wchar_t __wc, __FILE *__stream);
extern wint_t putwc (wchar_t __wc, __FILE *__stream);
extern wint_t putwchar (wchar_t __wc);
extern wchar_t *fgetws (wchar_t *__restrict __ws, int __n,
   __FILE *__restrict __stream);
extern int fputws (__const wchar_t *__restrict __ws,
     __FILE *__restrict __stream);
extern wint_t ungetwc (wint_t __wc, __FILE *__stream);

extern wint_t getwc_unlocked (__FILE *__stream);
extern wint_t getwchar_unlocked (void);
extern wint_t fgetwc_unlocked (__FILE *__stream);
extern wint_t fputwc_unlocked (wchar_t __wc, __FILE *__stream);
extern wint_t putwc_unlocked (wchar_t __wc, __FILE *__stream);
extern wint_t putwchar_unlocked (wchar_t __wc);
extern wchar_t *fgetws_unlocked (wchar_t *__restrict __ws, int __n,
     __FILE *__restrict __stream);
extern int fputws_unlocked (__const wchar_t *__restrict __ws,
       __FILE *__restrict __stream);

extern size_t wcsftime (wchar_t *__restrict __s, size_t __maxsize,
   __const wchar_t *__restrict __format,
   __const struct tm *__restrict __tp) throw ();

extern size_t wcsftime_l (wchar_t *__restrict __s, size_t __maxsize,
     __const wchar_t *__restrict __format,
     __const struct tm *__restrict __tp,
     __locale_t __loc) throw ();
}
namespace std
{
  using ::mbstate_t;
}
namespace std __attribute__ ((__visibility__ ("default")))
{

  using ::wint_t;
  using ::btowc;
  using ::fgetwc;
  using ::fgetws;
  using ::fputwc;
  using ::fputws;
  using ::fwide;
  using ::fwprintf;
  using ::fwscanf;
  using ::getwc;
  using ::getwchar;
  using ::mbrlen;
  using ::mbrtowc;
  using ::mbsinit;
  using ::mbsrtowcs;
  using ::putwc;
  using ::putwchar;
  using ::swprintf;
  using ::swscanf;
  using ::ungetwc;
  using ::vfwprintf;
  using ::vfwscanf;
  using ::vswprintf;
  using ::vswscanf;
  using ::vwprintf;
  using ::vwscanf;
  using ::wcrtomb;
  using ::wcscat;
  using ::wcscmp;
  using ::wcscoll;
  using ::wcscpy;
  using ::wcscspn;
  using ::wcsftime;
  using ::wcslen;
  using ::wcsncat;
  using ::wcsncmp;
  using ::wcsncpy;
  using ::wcsrtombs;
  using ::wcsspn;
  using ::wcstod;
  using ::wcstof;
  using ::wcstok;
  using ::wcstol;
  using ::wcstoul;
  using ::wcsxfrm;
  using ::wctob;
  using ::wmemcmp;
  using ::wmemcpy;
  using ::wmemmove;
  using ::wmemset;
  using ::wprintf;
  using ::wscanf;
  using ::wcschr;
  using ::wcspbrk;
  using ::wcsrchr;
  using ::wcsstr;
  using ::wmemchr;

}
namespace __gnu_cxx
{
  using ::wcstold;
  using ::wcstoll;
  using ::wcstoull;
}
namespace std
{
  using ::__gnu_cxx::wcstold;
  using ::__gnu_cxx::wcstoll;
  using ::__gnu_cxx::wcstoull;
}
namespace std
{
  using std::wcstof;
  using std::vfwscanf;
  using std::vswscanf;
  using std::vwscanf;
  using std::wcstold;
  using std::wcstoll;
  using std::wcstoull;
}
namespace std __attribute__ ((__visibility__ ("default")))
{

  typedef long streamoff;
  typedef ptrdiff_t streamsize;
  template<typename _StateT>
    class fpos
    {
    private:
      streamoff _M_off;
      _StateT _M_state;
    public:
      fpos()
      : _M_off(0), _M_state() { }
      fpos(streamoff __off)
      : _M_off(__off), _M_state() { }
      operator streamoff() const { return _M_off; }
      void
      state(_StateT __st)
      { _M_state = __st; }
      _StateT
      state() const
      { return _M_state; }
      fpos&
      operator+=(streamoff __off)
      {
 _M_off += __off;
 return *this;
      }
      fpos&
      operator-=(streamoff __off)
      {
 _M_off -= __off;
 return *this;
      }
      fpos
      operator+(streamoff __off) const
      {
 fpos __pos(*this);
 __pos += __off;
 return __pos;
      }
      fpos
      operator-(streamoff __off) const
      {
 fpos __pos(*this);
 __pos -= __off;
 return __pos;
      }
      streamoff
      operator-(const fpos& __other) const
      { return _M_off - __other._M_off; }
    };
  template<typename _StateT>
    inline bool
    operator==(const fpos<_StateT>& __lhs, const fpos<_StateT>& __rhs)
    { return streamoff(__lhs) == streamoff(__rhs); }
  template<typename _StateT>
    inline bool
    operator!=(const fpos<_StateT>& __lhs, const fpos<_StateT>& __rhs)
    { return streamoff(__lhs) != streamoff(__rhs); }
  typedef fpos<mbstate_t> streampos;
  typedef fpos<mbstate_t> wstreampos;
  typedef fpos<mbstate_t> u16streampos;
  typedef fpos<mbstate_t> u32streampos;

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  class ios_base;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_ios;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_streambuf;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_istream;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_ostream;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_iostream;
  template<typename _CharT, typename _Traits = char_traits<_CharT>,
     typename _Alloc = allocator<_CharT> >
    class basic_stringbuf;
  template<typename _CharT, typename _Traits = char_traits<_CharT>,
    typename _Alloc = allocator<_CharT> >
    class basic_istringstream;
  template<typename _CharT, typename _Traits = char_traits<_CharT>,
    typename _Alloc = allocator<_CharT> >
    class basic_ostringstream;
  template<typename _CharT, typename _Traits = char_traits<_CharT>,
    typename _Alloc = allocator<_CharT> >
    class basic_stringstream;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_filebuf;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_ifstream;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_ofstream;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class basic_fstream;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class istreambuf_iterator;
  template<typename _CharT, typename _Traits = char_traits<_CharT> >
    class ostreambuf_iterator;
  typedef basic_ios<char> ios;
  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_ios<wchar_t> wios;
  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;

}
#pragma GCC visibility push(default)
typedef unsigned char __u_char;
typedef unsigned short int __u_short;
typedef unsigned int __u_int;
typedef unsigned long int __u_long;
typedef signed char __int8_t;
typedef unsigned char __uint8_t;
typedef signed short int __int16_t;
typedef unsigned short int __uint16_t;
typedef signed int __int32_t;
typedef unsigned int __uint32_t;
typedef signed long int __int64_t;
typedef unsigned long int __uint64_t;
typedef long int __quad_t;
typedef unsigned long int __u_quad_t;
typedef unsigned long int __dev_t;
typedef unsigned int __uid_t;
typedef unsigned int __gid_t;
typedef unsigned long int __ino_t;
typedef unsigned long int __ino64_t;
typedef unsigned int __mode_t;
typedef unsigned long int __nlink_t;
typedef long int __off_t;
typedef long int __off64_t;
typedef int __pid_t;
typedef struct { int __val[2]; } __fsid_t;
typedef long int __clock_t;
typedef unsigned long int __rlim_t;
typedef unsigned long int __rlim64_t;
typedef unsigned int __id_t;
typedef long int __time_t;
typedef unsigned int __useconds_t;
typedef long int __suseconds_t;
typedef int __daddr_t;
typedef long int __swblk_t;
typedef int __key_t;
typedef int __clockid_t;
typedef void * __timer_t;
typedef long int __blksize_t;
typedef long int __blkcnt_t;
typedef long int __blkcnt64_t;
typedef unsigned long int __fsblkcnt_t;
typedef unsigned long int __fsblkcnt64_t;
typedef unsigned long int __fsfilcnt_t;
typedef unsigned long int __fsfilcnt64_t;
typedef long int __ssize_t;
typedef __off64_t __loff_t;
typedef __quad_t *__qaddr_t;
typedef char *__caddr_t;
typedef long int __intptr_t;
typedef unsigned int __socklen_t;

typedef __time_t time_t;


struct timespec
  {
    __time_t tv_sec;
    long int tv_nsec;
  };
typedef __pid_t pid_t;
struct sched_param
  {
    int __sched_priority;
  };
extern "C" {
extern int clone (int (*__fn) (void *__arg), void *__child_stack,
    int __flags, void *__arg, ...) throw ();
extern int unshare (int __flags) throw ();
extern int sched_getcpu (void) throw ();
}
struct __sched_param
  {
    int __sched_priority;
  };
typedef unsigned long int __cpu_mask;
typedef struct
{
  __cpu_mask __bits[1024 / (8 * sizeof (__cpu_mask))];
} cpu_set_t;
extern "C" {
extern int __sched_cpucount (size_t __setsize, const cpu_set_t *__setp)
  throw ();
extern cpu_set_t *__sched_cpualloc (size_t __count) throw () ;
extern void __sched_cpufree (cpu_set_t *__set) throw ();
}
extern "C" {
extern int sched_setparam (__pid_t __pid, __const struct sched_param *__param)
     throw ();
extern int sched_getparam (__pid_t __pid, struct sched_param *__param) throw ();
extern int sched_setscheduler (__pid_t __pid, int __policy,
          __const struct sched_param *__param) throw ();
extern int sched_getscheduler (__pid_t __pid) throw ();
extern int sched_yield (void) throw ();
extern int sched_get_priority_max (int __algorithm) throw ();
extern int sched_get_priority_min (int __algorithm) throw ();
extern int sched_rr_get_interval (__pid_t __pid, struct timespec *__t) throw ();
extern int sched_setaffinity (__pid_t __pid, size_t __cpusetsize,
         __const cpu_set_t *__cpuset) throw ();
extern int sched_getaffinity (__pid_t __pid, size_t __cpusetsize,
         cpu_set_t *__cpuset) throw ();
}
extern "C" {

typedef __clock_t clock_t;


typedef __clockid_t clockid_t;
typedef __timer_t timer_t;

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 int tm_gmtoff;
  __const char *tm_zone;
};


struct itimerspec
  {
    struct timespec it_interval;
    struct timespec it_value;
  };
struct sigevent;

extern clock_t clock (void) throw ();
extern time_t time (time_t *__timer) throw ();
extern double difftime (time_t __time1, time_t __time0)
     throw () __attribute__ ((__const__));
extern time_t mktime (struct tm *__tp) throw ();
extern size_t strftime (char *__restrict __s, size_t __maxsize,
   __const char *__restrict __format,
   __const struct tm *__restrict __tp) throw ();

extern char *strptime (__const char *__restrict __s,
         __const char *__restrict __fmt, struct tm *__tp)
     throw ();
extern size_t strftime_l (char *__restrict __s, size_t __maxsize,
     __const char *__restrict __format,
     __const struct tm *__restrict __tp,
     __locale_t __loc) throw ();
extern char *strptime_l (__const char *__restrict __s,
    __const char *__restrict __fmt, struct tm *__tp,
    __locale_t __loc) throw ();

extern struct tm *gmtime (__const time_t *__timer) throw ();
extern struct tm *localtime (__const time_t *__timer) throw ();

extern struct tm *gmtime_r (__const time_t *__restrict __timer,
       struct tm *__restrict __tp) throw ();
extern struct tm *localtime_r (__const time_t *__restrict __timer,
          struct tm *__restrict __tp) throw ();

extern char *asctime (__const struct tm *__tp) throw ();
extern char *ctime (__const time_t *__timer) throw ();

extern char *asctime_r (__const struct tm *__restrict __tp,
   char *__restrict __buf) throw ();
extern char *ctime_r (__const time_t *__restrict __timer,
        char *__restrict __buf) throw ();
extern char *__tzname[2];
extern int __daylight;
extern long int __timezone;
extern char *tzname[2];
extern void tzset (void) throw ();
extern int daylight;
extern long int timezone;
extern int stime (__const time_t *__when) throw ();
extern time_t timegm (struct tm *__tp) throw ();
extern time_t timelocal (struct tm *__tp) throw ();
extern int dysize (int __year) throw () __attribute__ ((__const__));
extern int nanosleep (__const struct timespec *__requested_time,
        struct timespec *__remaining);
extern int clock_getres (clockid_t __clock_id, struct timespec *__res) throw ();
extern int clock_gettime (clockid_t __clock_id, struct timespec *__tp) throw ();
extern int clock_settime (clockid_t __clock_id, __const struct timespec *__tp)
     throw ();
extern int clock_nanosleep (clockid_t __clock_id, int __flags,
       __const struct timespec *__req,
       struct timespec *__rem);
extern int clock_getcpuclockid (pid_t __pid, clockid_t *__clock_id) throw ();
extern int timer_create (clockid_t __clock_id,
    struct sigevent *__restrict __evp,
    timer_t *__restrict __timerid) throw ();
extern int timer_delete (timer_t __timerid) throw ();
extern int timer_settime (timer_t __timerid, int __flags,
     __const struct itimerspec *__restrict __value,
     struct itimerspec *__restrict __ovalue) throw ();
extern int timer_gettime (timer_t __timerid, struct itimerspec *__value)
     throw ();
extern int timer_getoverrun (timer_t __timerid) throw ();
extern int getdate_err;
extern struct tm *getdate (__const char *__string);
extern int getdate_r (__const char *__restrict __string,
        struct tm *__restrict __resbufp);
}
typedef unsigned long int pthread_t;
typedef union
{
  char __size[56];
  long int __align;
} pthread_attr_t;
typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;
typedef union
{
  struct __pthread_mutex_s
  {
    int __lock;
    unsigned int __count;
    int __owner;
    unsigned int __nusers;
    int __kind;
    int __spins;
    __pthread_list_t __list;
  } __data;
  char __size[40];
  long int __align;
} pthread_mutex_t;
typedef union
{
  char __size[4];
  int __align;
} pthread_mutexattr_t;
typedef union
{
  struct
  {
    int __lock;
    unsigned int __futex;
    __extension__ unsigned long long int __total_seq;
    __extension__ unsigned long long int __wakeup_seq;
    __extension__ unsigned long long int __woken_seq;
    void *__mutex;
    unsigned int __nwaiters;
    unsigned int __broadcast_seq;
  } __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;
typedef union
{
  char __size[4];
  int __align;
} pthread_condattr_t;
typedef unsigned int pthread_key_t;
typedef int pthread_once_t;
typedef union
{
  struct
  {
    int __lock;
    unsigned int __nr_readers;
    unsigned int __readers_wakeup;
    unsigned int __writer_wakeup;
    unsigned int __nr_readers_queued;
    unsigned int __nr_writers_queued;
    int __writer;
    int __shared;
    unsigned long int __pad1;
    unsigned long int __pad2;
    unsigned int __flags;
  } __data;
  char __size[56];
  long int __align;
} pthread_rwlock_t;
typedef union
{
  char __size[8];
  long int __align;
} pthread_rwlockattr_t;
typedef volatile int pthread_spinlock_t;
typedef union
{
  char __size[32];
  long int __align;
} pthread_barrier_t;
typedef union
{
  char __size[4];
  int __align;
} pthread_barrierattr_t;
typedef long int __jmp_buf[8];
enum
{
  PTHREAD_CREATE_JOINABLE,
  PTHREAD_CREATE_DETACHED
};
enum
{
  PTHREAD_MUTEX_TIMED_NP,
  PTHREAD_MUTEX_RECURSIVE_NP,
  PTHREAD_MUTEX_ERRORCHECK_NP,
  PTHREAD_MUTEX_ADAPTIVE_NP
  ,
  PTHREAD_MUTEX_NORMAL = PTHREAD_MUTEX_TIMED_NP,
  PTHREAD_MUTEX_RECURSIVE = PTHREAD_MUTEX_RECURSIVE_NP,
  PTHREAD_MUTEX_ERRORCHECK = PTHREAD_MUTEX_ERRORCHECK_NP,
  PTHREAD_MUTEX_DEFAULT = PTHREAD_MUTEX_NORMAL
  , PTHREAD_MUTEX_FAST_NP = PTHREAD_MUTEX_TIMED_NP
};
enum
{
  PTHREAD_MUTEX_STALLED,
  PTHREAD_MUTEX_STALLED_NP = PTHREAD_MUTEX_STALLED,
  PTHREAD_MUTEX_ROBUST,
  PTHREAD_MUTEX_ROBUST_NP = PTHREAD_MUTEX_ROBUST
};
enum
{
  PTHREAD_PRIO_NONE,
  PTHREAD_PRIO_INHERIT,
  PTHREAD_PRIO_PROTECT
};
enum
{
  PTHREAD_RWLOCK_PREFER_READER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NP,
  PTHREAD_RWLOCK_PREFER_WRITER_NONRECURSIVE_NP,
  PTHREAD_RWLOCK_DEFAULT_NP = PTHREAD_RWLOCK_PREFER_READER_NP
};
enum
{
  PTHREAD_INHERIT_SCHED,
  PTHREAD_EXPLICIT_SCHED
};
enum
{
  PTHREAD_SCOPE_SYSTEM,
  PTHREAD_SCOPE_PROCESS
};
enum
{
  PTHREAD_PROCESS_PRIVATE,
  PTHREAD_PROCESS_SHARED
};
struct _pthread_cleanup_buffer
{
  void (*__routine) (void *);
  void *__arg;
  int __canceltype;
  struct _pthread_cleanup_buffer *__prev;
};
enum
{
  PTHREAD_CANCEL_ENABLE,
  PTHREAD_CANCEL_DISABLE
};
enum
{
  PTHREAD_CANCEL_DEFERRED,
  PTHREAD_CANCEL_ASYNCHRONOUS
};
extern "C" {
extern int pthread_create (pthread_t *__restrict __newthread,
      __const pthread_attr_t *__restrict __attr,
      void *(*__start_routine) (void *),
      void *__restrict __arg) throw () __attribute__ ((__nonnull__ (1, 3)));
extern void pthread_exit (void *__retval) __attribute__ ((__noreturn__));
extern int pthread_join (pthread_t __th, void **__thread_return);
extern int pthread_tryjoin_np (pthread_t __th, void **__thread_return) throw ();
extern int pthread_timedjoin_np (pthread_t __th, void **__thread_return,
     __const struct timespec *__abstime);
extern int pthread_detach (pthread_t __th) throw ();
extern pthread_t pthread_self (void) throw () __attribute__ ((__const__));
extern int pthread_equal (pthread_t __thread1, pthread_t __thread2) throw ();
extern int pthread_attr_init (pthread_attr_t *__attr) throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_attr_destroy (pthread_attr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_attr_getdetachstate (__const pthread_attr_t *__attr,
     int *__detachstate)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_attr_setdetachstate (pthread_attr_t *__attr,
     int __detachstate)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_attr_getguardsize (__const pthread_attr_t *__attr,
          size_t *__guardsize)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_attr_setguardsize (pthread_attr_t *__attr,
          size_t __guardsize)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_attr_getschedparam (__const pthread_attr_t *__restrict
           __attr,
           struct sched_param *__restrict __param)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_attr_setschedparam (pthread_attr_t *__restrict __attr,
           __const struct sched_param *__restrict
           __param) throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_attr_getschedpolicy (__const pthread_attr_t *__restrict
     __attr, int *__restrict __policy)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_attr_setschedpolicy (pthread_attr_t *__attr, int __policy)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_attr_getinheritsched (__const pthread_attr_t *__restrict
      __attr, int *__restrict __inherit)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_attr_setinheritsched (pthread_attr_t *__attr,
      int __inherit)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_attr_getscope (__const pthread_attr_t *__restrict __attr,
      int *__restrict __scope)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_attr_setscope (pthread_attr_t *__attr, int __scope)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_attr_getstackaddr (__const pthread_attr_t *__restrict
          __attr, void **__restrict __stackaddr)
     throw () __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__deprecated__));
extern int pthread_attr_setstackaddr (pthread_attr_t *__attr,
          void *__stackaddr)
     throw () __attribute__ ((__nonnull__ (1))) __attribute__ ((__deprecated__));
extern int pthread_attr_getstacksize (__const pthread_attr_t *__restrict
          __attr, size_t *__restrict __stacksize)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_attr_setstacksize (pthread_attr_t *__attr,
          size_t __stacksize)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_attr_getstack (__const pthread_attr_t *__restrict __attr,
      void **__restrict __stackaddr,
      size_t *__restrict __stacksize)
     throw () __attribute__ ((__nonnull__ (1, 2, 3)));
extern int pthread_attr_setstack (pthread_attr_t *__attr, void *__stackaddr,
      size_t __stacksize) throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_attr_setaffinity_np (pthread_attr_t *__attr,
     size_t __cpusetsize,
     __const cpu_set_t *__cpuset)
     throw () __attribute__ ((__nonnull__ (1, 3)));
extern int pthread_attr_getaffinity_np (__const pthread_attr_t *__attr,
     size_t __cpusetsize,
     cpu_set_t *__cpuset)
     throw () __attribute__ ((__nonnull__ (1, 3)));
extern int pthread_getattr_np (pthread_t __th, pthread_attr_t *__attr)
     throw () __attribute__ ((__nonnull__ (2)));
extern int pthread_setschedparam (pthread_t __target_thread, int __policy,
      __const struct sched_param *__param)
     throw () __attribute__ ((__nonnull__ (3)));
extern int pthread_getschedparam (pthread_t __target_thread,
      int *__restrict __policy,
      struct sched_param *__restrict __param)
     throw () __attribute__ ((__nonnull__ (2, 3)));
extern int pthread_setschedprio (pthread_t __target_thread, int __prio)
     throw ();
extern int pthread_getname_np (pthread_t __target_thread, char *__buf,
          size_t __buflen)
     throw () __attribute__ ((__nonnull__ (2)));
extern int pthread_setname_np (pthread_t __target_thread, __const char *__name)
     throw () __attribute__ ((__nonnull__ (2)));
extern int pthread_getconcurrency (void) throw ();
extern int pthread_setconcurrency (int __level) throw ();
extern int pthread_yield (void) throw ();
extern int pthread_setaffinity_np (pthread_t __th, size_t __cpusetsize,
       __const cpu_set_t *__cpuset)
     throw () __attribute__ ((__nonnull__ (3)));
extern int pthread_getaffinity_np (pthread_t __th, size_t __cpusetsize,
       cpu_set_t *__cpuset)
     throw () __attribute__ ((__nonnull__ (3)));
extern int pthread_once (pthread_once_t *__once_control,
    void (*__init_routine) (void)) __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_setcancelstate (int __state, int *__oldstate);
extern int pthread_setcanceltype (int __type, int *__oldtype);
extern int pthread_cancel (pthread_t __th);
extern void pthread_testcancel (void);
typedef struct
{
  struct
  {
    __jmp_buf __cancel_jmp_buf;
    int __mask_was_saved;
  } __cancel_jmp_buf[1];
  void *__pad[4];
} __pthread_unwind_buf_t __attribute__ ((__aligned__));
struct __pthread_cleanup_frame
{
  void (*__cancel_routine) (void *);
  void *__cancel_arg;
  int __do_it;
  int __cancel_type;
};
class __pthread_cleanup_class
{
  void (*__cancel_routine) (void *);
  void *__cancel_arg;
  int __do_it;
  int __cancel_type;
 public:
  __pthread_cleanup_class (void (*__fct) (void *), void *__arg)
    : __cancel_routine (__fct), __cancel_arg (__arg), __do_it (1) { }
  ~__pthread_cleanup_class () { if (__do_it) __cancel_routine (__cancel_arg); }
  void __setdoit (int __newval) { __do_it = __newval; }
  void __defer () { pthread_setcanceltype (PTHREAD_CANCEL_DEFERRED,
        &__cancel_type); }
  void __restore () const { pthread_setcanceltype (__cancel_type, 0); }
};
struct __jmp_buf_tag;
extern int __sigsetjmp (struct __jmp_buf_tag *__env, int __savemask) throw ();
extern int pthread_mutex_init (pthread_mutex_t *__mutex,
          __const pthread_mutexattr_t *__mutexattr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutex_destroy (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutex_trylock (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutex_lock (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutex_timedlock (pthread_mutex_t *__restrict __mutex,
        __const struct timespec *__restrict
        __abstime) throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_mutex_unlock (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutex_getprioceiling (__const pthread_mutex_t *
      __restrict __mutex,
      int *__restrict __prioceiling)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_mutex_setprioceiling (pthread_mutex_t *__restrict __mutex,
      int __prioceiling,
      int *__restrict __old_ceiling)
     throw () __attribute__ ((__nonnull__ (1, 3)));
extern int pthread_mutex_consistent (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutex_consistent_np (pthread_mutex_t *__mutex)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutexattr_init (pthread_mutexattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutexattr_destroy (pthread_mutexattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutexattr_getpshared (__const pthread_mutexattr_t *
      __restrict __attr,
      int *__restrict __pshared)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_mutexattr_setpshared (pthread_mutexattr_t *__attr,
      int __pshared)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutexattr_gettype (__const pthread_mutexattr_t *__restrict
          __attr, int *__restrict __kind)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_mutexattr_settype (pthread_mutexattr_t *__attr, int __kind)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutexattr_getprotocol (__const pthread_mutexattr_t *
       __restrict __attr,
       int *__restrict __protocol)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_mutexattr_setprotocol (pthread_mutexattr_t *__attr,
       int __protocol)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutexattr_getprioceiling (__const pthread_mutexattr_t *
          __restrict __attr,
          int *__restrict __prioceiling)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_mutexattr_setprioceiling (pthread_mutexattr_t *__attr,
          int __prioceiling)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutexattr_getrobust (__const pthread_mutexattr_t *__attr,
     int *__robustness)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_mutexattr_getrobust_np (__const pthread_mutexattr_t *__attr,
        int *__robustness)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_mutexattr_setrobust (pthread_mutexattr_t *__attr,
     int __robustness)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_mutexattr_setrobust_np (pthread_mutexattr_t *__attr,
        int __robustness)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlock_init (pthread_rwlock_t *__restrict __rwlock,
    __const pthread_rwlockattr_t *__restrict
    __attr) throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlock_destroy (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlock_rdlock (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlock_tryrdlock (pthread_rwlock_t *__rwlock)
  throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlock_timedrdlock (pthread_rwlock_t *__restrict __rwlock,
           __const struct timespec *__restrict
           __abstime) throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_rwlock_wrlock (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlock_trywrlock (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlock_timedwrlock (pthread_rwlock_t *__restrict __rwlock,
           __const struct timespec *__restrict
           __abstime) throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_rwlock_unlock (pthread_rwlock_t *__rwlock)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlockattr_init (pthread_rwlockattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlockattr_destroy (pthread_rwlockattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlockattr_getpshared (__const pthread_rwlockattr_t *
       __restrict __attr,
       int *__restrict __pshared)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_rwlockattr_setpshared (pthread_rwlockattr_t *__attr,
       int __pshared)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_rwlockattr_getkind_np (__const pthread_rwlockattr_t *
       __restrict __attr,
       int *__restrict __pref)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_rwlockattr_setkind_np (pthread_rwlockattr_t *__attr,
       int __pref) throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_cond_init (pthread_cond_t *__restrict __cond,
         __const pthread_condattr_t *__restrict
         __cond_attr) throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_cond_destroy (pthread_cond_t *__cond)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_cond_signal (pthread_cond_t *__cond)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_cond_broadcast (pthread_cond_t *__cond)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_cond_wait (pthread_cond_t *__restrict __cond,
         pthread_mutex_t *__restrict __mutex)
     __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_cond_timedwait (pthread_cond_t *__restrict __cond,
       pthread_mutex_t *__restrict __mutex,
       __const struct timespec *__restrict
       __abstime) __attribute__ ((__nonnull__ (1, 2, 3)));
extern int pthread_condattr_init (pthread_condattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_condattr_destroy (pthread_condattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_condattr_getpshared (__const pthread_condattr_t *
     __restrict __attr,
     int *__restrict __pshared)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_condattr_setpshared (pthread_condattr_t *__attr,
     int __pshared) throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_condattr_getclock (__const pthread_condattr_t *
          __restrict __attr,
          __clockid_t *__restrict __clock_id)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_condattr_setclock (pthread_condattr_t *__attr,
          __clockid_t __clock_id)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_spin_init (pthread_spinlock_t *__lock, int __pshared)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_spin_destroy (pthread_spinlock_t *__lock)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_spin_lock (pthread_spinlock_t *__lock)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_spin_trylock (pthread_spinlock_t *__lock)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_spin_unlock (pthread_spinlock_t *__lock)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_barrier_init (pthread_barrier_t *__restrict __barrier,
     __const pthread_barrierattr_t *__restrict
     __attr, unsigned int __count)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_barrier_destroy (pthread_barrier_t *__barrier)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_barrier_wait (pthread_barrier_t *__barrier)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_barrierattr_init (pthread_barrierattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_barrierattr_destroy (pthread_barrierattr_t *__attr)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_barrierattr_getpshared (__const pthread_barrierattr_t *
        __restrict __attr,
        int *__restrict __pshared)
     throw () __attribute__ ((__nonnull__ (1, 2)));
extern int pthread_barrierattr_setpshared (pthread_barrierattr_t *__attr,
        int __pshared)
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_key_create (pthread_key_t *__key,
          void (*__destr_function) (void *))
     throw () __attribute__ ((__nonnull__ (1)));
extern int pthread_key_delete (pthread_key_t __key) throw ();
extern void *pthread_getspecific (pthread_key_t __key) throw ();
extern int pthread_setspecific (pthread_key_t __key,
    __const void *__pointer) throw () ;
extern int pthread_getcpuclockid (pthread_t __thread_id,
      __clockid_t *__clock_id)
     throw () __attribute__ ((__nonnull__ (2)));
extern int pthread_atfork (void (*__prepare) (void),
      void (*__parent) (void),
      void (*__child) (void)) throw ();
}
typedef pthread_t __gthread_t;
typedef pthread_key_t __gthread_key_t;
typedef pthread_once_t __gthread_once_t;
typedef pthread_mutex_t __gthread_mutex_t;
typedef pthread_mutex_t __gthread_recursive_mutex_t;
typedef pthread_cond_t __gthread_cond_t;
typedef struct timespec __gthread_time_t;
static __typeof(pthread_once) __gthrw_pthread_once __attribute__ ((__weakref__("pthread_once")));
static __typeof(pthread_getspecific) __gthrw_pthread_getspecific __attribute__ ((__weakref__("pthread_getspecific")));
static __typeof(pthread_setspecific) __gthrw_pthread_setspecific __attribute__ ((__weakref__("pthread_setspecific")));
static __typeof(pthread_create) __gthrw_pthread_create __attribute__ ((__weakref__("pthread_create")));
static __typeof(pthread_join) __gthrw_pthread_join __attribute__ ((__weakref__("pthread_join")));
static __typeof(pthread_equal) __gthrw_pthread_equal __attribute__ ((__weakref__("pthread_equal")));
static __typeof(pthread_self) __gthrw_pthread_self __attribute__ ((__weakref__("pthread_self")));
static __typeof(pthread_detach) __gthrw_pthread_detach __attribute__ ((__weakref__("pthread_detach")));
static __typeof(pthread_cancel) __gthrw_pthread_cancel __attribute__ ((__weakref__("pthread_cancel")));
static __typeof(sched_yield) __gthrw_sched_yield __attribute__ ((__weakref__("sched_yield")));
static __typeof(pthread_mutex_lock) __gthrw_pthread_mutex_lock __attribute__ ((__weakref__("pthread_mutex_lock")));
static __typeof(pthread_mutex_trylock) __gthrw_pthread_mutex_trylock __attribute__ ((__weakref__("pthread_mutex_trylock")));
static __typeof(pthread_mutex_timedlock) __gthrw_pthread_mutex_timedlock __attribute__ ((__weakref__("pthread_mutex_timedlock")));
static __typeof(pthread_mutex_unlock) __gthrw_pthread_mutex_unlock __attribute__ ((__weakref__("pthread_mutex_unlock")));
static __typeof(pthread_mutex_init) __gthrw_pthread_mutex_init __attribute__ ((__weakref__("pthread_mutex_init")));
static __typeof(pthread_mutex_destroy) __gthrw_pthread_mutex_destroy __attribute__ ((__weakref__("pthread_mutex_destroy")));
static __typeof(pthread_cond_init) __gthrw_pthread_cond_init __attribute__ ((__weakref__("pthread_cond_init")));
static __typeof(pthread_cond_broadcast) __gthrw_pthread_cond_broadcast __attribute__ ((__weakref__("pthread_cond_broadcast")));
static __typeof(pthread_cond_signal) __gthrw_pthread_cond_signal __attribute__ ((__weakref__("pthread_cond_signal")));
static __typeof(pthread_cond_wait) __gthrw_pthread_cond_wait __attribute__ ((__weakref__("pthread_cond_wait")));
static __typeof(pthread_cond_timedwait) __gthrw_pthread_cond_timedwait __attribute__ ((__weakref__("pthread_cond_timedwait")));
static __typeof(pthread_cond_destroy) __gthrw_pthread_cond_destroy __attribute__ ((__weakref__("pthread_cond_destroy")));
static __typeof(pthread_key_create) __gthrw_pthread_key_create __attribute__ ((__weakref__("pthread_key_create")));
static __typeof(pthread_key_delete) __gthrw_pthread_key_delete __attribute__ ((__weakref__("pthread_key_delete")));
static __typeof(pthread_mutexattr_init) __gthrw_pthread_mutexattr_init __attribute__ ((__weakref__("pthread_mutexattr_init")));
static __typeof(pthread_mutexattr_settype) __gthrw_pthread_mutexattr_settype __attribute__ ((__weakref__("pthread_mutexattr_settype")));
static __typeof(pthread_mutexattr_destroy) __gthrw_pthread_mutexattr_destroy __attribute__ ((__weakref__("pthread_mutexattr_destroy")));
static inline int
__gthread_active_p (void)
{
  static void *const __gthread_active_ptr
    = __extension__ (void *) &__gthrw_pthread_cancel;
  return __gthread_active_ptr != 0;
}
static inline int
__gthread_create (__gthread_t *__threadid, void *(*__func) (void*),
    void *__args)
{
  return __gthrw_pthread_create (__threadid, __null, __func, __args);
}
static inline int
__gthread_join (__gthread_t __threadid, void **__value_ptr)
{
  return __gthrw_pthread_join (__threadid, __value_ptr);
}
static inline int
__gthread_detach (__gthread_t __threadid)
{
  return __gthrw_pthread_detach (__threadid);
}
static inline int
__gthread_equal (__gthread_t __t1, __gthread_t __t2)
{
  return __gthrw_pthread_equal (__t1, __t2);
}
static inline __gthread_t
__gthread_self (void)
{
  return __gthrw_pthread_self ();
}
static inline int
__gthread_yield (void)
{
  return __gthrw_sched_yield ();
}
static inline int
__gthread_once (__gthread_once_t *__once, void (*__func) (void))
{
  if (__gthread_active_p ())
    return __gthrw_pthread_once (__once, __func);
  else
    return -1;
}
static inline int
__gthread_key_create (__gthread_key_t *__key, void (*__dtor) (void *))
{
  return __gthrw_pthread_key_create (__key, __dtor);
}
static inline int
__gthread_key_delete (__gthread_key_t __key)
{
  return __gthrw_pthread_key_delete (__key);
}
static inline void *
__gthread_getspecific (__gthread_key_t __key)
{
  return __gthrw_pthread_getspecific (__key);
}
static inline int
__gthread_setspecific (__gthread_key_t __key, const void *__ptr)
{
  return __gthrw_pthread_setspecific (__key, __ptr);
}
static inline int
__gthread_mutex_destroy (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_destroy (__mutex);
  else
    return 0;
}
static inline int
__gthread_mutex_lock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_lock (__mutex);
  else
    return 0;
}
static inline int
__gthread_mutex_trylock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_trylock (__mutex);
  else
    return 0;
}
static inline int
__gthread_mutex_timedlock (__gthread_mutex_t *__mutex,
      const __gthread_time_t *__abs_timeout)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_timedlock (__mutex, __abs_timeout);
  else
    return 0;
}
static inline int
__gthread_mutex_unlock (__gthread_mutex_t *__mutex)
{
  if (__gthread_active_p ())
    return __gthrw_pthread_mutex_unlock (__mutex);
  else
    return 0;
}
static inline int
__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_lock (__mutex);
}
static inline int
__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_trylock (__mutex);
}
static inline int
__gthread_recursive_mutex_timedlock (__gthread_recursive_mutex_t *__mutex,
         const __gthread_time_t *__abs_timeout)
{
  return __gthread_mutex_timedlock (__mutex, __abs_timeout);
}
static inline int
__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex)
{
  return __gthread_mutex_unlock (__mutex);
}
static inline int
__gthread_cond_broadcast (__gthread_cond_t *__cond)
{
  return __gthrw_pthread_cond_broadcast (__cond);
}
static inline int
__gthread_cond_signal (__gthread_cond_t *__cond)
{
  return __gthrw_pthread_cond_signal (__cond);
}
static inline int
__gthread_cond_wait (__gthread_cond_t *__cond, __gthread_mutex_t *__mutex)
{
  return __gthrw_pthread_cond_wait (__cond, __mutex);
}
static inline int
__gthread_cond_timedwait (__gthread_cond_t *__cond, __gthread_mutex_t *__mutex,
     const __gthread_time_t *__abs_timeout)
{
  return __gthrw_pthread_cond_timedwait (__cond, __mutex, __abs_timeout);
}
static inline int
__gthread_cond_wait_recursive (__gthread_cond_t *__cond,
          __gthread_recursive_mutex_t *__mutex)
{
  return __gthread_cond_wait (__cond, __mutex);
}
static inline int
__gthread_cond_timedwait_recursive (__gthread_cond_t *__cond,
        __gthread_recursive_mutex_t *__mutex,
        const __gthread_time_t *__abs_timeout)
{
  return __gthread_cond_timedwait (__cond, __mutex, __abs_timeout);
}
static inline int
__gthread_cond_destroy (__gthread_cond_t* __cond)
{
  return __gthrw_pthread_cond_destroy (__cond);
}
#pragma GCC visibility pop
typedef int _Atomic_word;
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

  static inline _Atomic_word
  __exchange_and_add(volatile _Atomic_word* __mem, int __val)
  { return __atomic_fetch_add(__mem, __val, 4); }
  static inline void
  __atomic_add(volatile _Atomic_word* __mem, int __val)
  { __atomic_fetch_add(__mem, __val, 4); }
  static inline _Atomic_word
  __exchange_and_add_single(_Atomic_word* __mem, int __val)
  {
    _Atomic_word __result = *__mem;
    *__mem += __val;
    return __result;
  }
  static inline void
  __atomic_add_single(_Atomic_word* __mem, int __val)
  { *__mem += __val; }
  static inline _Atomic_word
  __attribute__ ((__unused__))
  __exchange_and_add_dispatch(_Atomic_word* __mem, int __val)
  {
    if (__gthread_active_p())
      return __exchange_and_add(__mem, __val);
    else
      return __exchange_and_add_single(__mem, __val);
  }
  static inline void
  __attribute__ ((__unused__))
  __atomic_add_dispatch(_Atomic_word* __mem, int __val)
  {
    if (__gthread_active_p())
      __atomic_add(__mem, __val);
    else
      __atomic_add_single(__mem, __val);
  }

}
       
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

  enum _Lock_policy { _S_single, _S_mutex, _S_atomic };
  static const _Lock_policy __default_lock_policy =
  _S_atomic;
  class __concurrence_lock_error : public std::exception
  {
  public:
    virtual char const*
    what() const throw()
    { return "__gnu_cxx::__concurrence_lock_error"; }
  };
  class __concurrence_unlock_error : public std::exception
  {
  public:
    virtual char const*
    what() const throw()
    { return "__gnu_cxx::__concurrence_unlock_error"; }
  };
  class __concurrence_broadcast_error : public std::exception
  {
  public:
    virtual char const*
    what() const throw()
    { return "__gnu_cxx::__concurrence_broadcast_error"; }
  };
  class __concurrence_wait_error : public std::exception
  {
  public:
    virtual char const*
    what() const throw()
    { return "__gnu_cxx::__concurrence_wait_error"; }
  };
  inline void
  __throw_concurrence_lock_error()
  {
    throw __concurrence_lock_error();
  }
  inline void
  __throw_concurrence_unlock_error()
  {
    throw __concurrence_unlock_error();
  }
  inline void
  __throw_concurrence_broadcast_error()
  {
    throw __concurrence_broadcast_error();
  }
  inline void
  __throw_concurrence_wait_error()
  {
    throw __concurrence_wait_error();
  }
  class __mutex
  {
  private:
    __gthread_mutex_t _M_mutex = { { 0, 0, 0, 0, 0, 0, { 0, 0 } } };
    __mutex(const __mutex&);
    __mutex& operator=(const __mutex&);
  public:
    __mutex()
    {
    }
    void lock()
    {
      if (__gthread_active_p())
 {
   if (__gthread_mutex_lock(&_M_mutex) != 0)
     __throw_concurrence_lock_error();
 }
    }
    void unlock()
    {
      if (__gthread_active_p())
 {
   if (__gthread_mutex_unlock(&_M_mutex) != 0)
     __throw_concurrence_unlock_error();
 }
    }
    __gthread_mutex_t* gthread_mutex(void)
      { return &_M_mutex; }
  };
  class __recursive_mutex
  {
  private:
    __gthread_recursive_mutex_t _M_mutex = { { 0, 0, 0, 0, PTHREAD_MUTEX_RECURSIVE_NP, 0, { 0, 0 } } };
    __recursive_mutex(const __recursive_mutex&);
    __recursive_mutex& operator=(const __recursive_mutex&);
  public:
    __recursive_mutex()
    {
    }
    void lock()
    {
      if (__gthread_active_p())
 {
   if (__gthread_recursive_mutex_lock(&_M_mutex) != 0)
     __throw_concurrence_lock_error();
 }
    }
    void unlock()
    {
      if (__gthread_active_p())
 {
   if (__gthread_recursive_mutex_unlock(&_M_mutex) != 0)
     __throw_concurrence_unlock_error();
 }
    }
    __gthread_recursive_mutex_t* gthread_recursive_mutex(void)
    { return &_M_mutex; }
  };
  class __scoped_lock
  {
  public:
    typedef __mutex __mutex_type;
  private:
    __mutex_type& _M_device;
    __scoped_lock(const __scoped_lock&);
    __scoped_lock& operator=(const __scoped_lock&);
  public:
    explicit __scoped_lock(__mutex_type& __name) : _M_device(__name)
    { _M_device.lock(); }
    ~__scoped_lock() throw()
    { _M_device.unlock(); }
  };
  class __cond
  {
  private:
    __gthread_cond_t _M_cond = { { 0, 0, 0, 0, 0, (void *) 0, 0, 0 } };
    __cond(const __cond&);
    __cond& operator=(const __cond&);
  public:
    __cond()
    {
    }
    void broadcast()
    {
      if (__gthread_active_p())
 {
   if (__gthread_cond_broadcast(&_M_cond) != 0)
     __throw_concurrence_broadcast_error();
 }
    }
    void wait(__mutex *mutex)
    {
      {
   if (__gthread_cond_wait(&_M_cond, mutex->gthread_mutex()) != 0)
     __throw_concurrence_wait_error();
      }
    }
    void wait_recursive(__recursive_mutex *mutex)
    {
      {
   if (__gthread_cond_wait_recursive(&_M_cond,
         mutex->gthread_recursive_mutex())
       != 0)
     __throw_concurrence_wait_error();
      }
    }
  };

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Arg, typename _Result>
    struct unary_function
    {
      typedef _Arg argument_type;
      typedef _Result result_type;
    };
  template<typename _Arg1, typename _Arg2, typename _Result>
    struct binary_function
    {
      typedef _Arg1 first_argument_type;
      typedef _Arg2 second_argument_type;
      typedef _Result result_type;
    };
  template<typename _Tp>
    struct plus : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x + __y; }
    };
  template<typename _Tp>
    struct minus : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x - __y; }
    };
  template<typename _Tp>
    struct multiplies : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x * __y; }
    };
  template<typename _Tp>
    struct divides : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x / __y; }
    };
  template<typename _Tp>
    struct modulus : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x % __y; }
    };
  template<typename _Tp>
    struct negate : public unary_function<_Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x) const
      { return -__x; }
    };
  template<typename _Tp>
    struct equal_to : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x == __y; }
    };
  template<typename _Tp>
    struct not_equal_to : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x != __y; }
    };
  template<typename _Tp>
    struct greater : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x > __y; }
    };
  template<typename _Tp>
    struct less : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x < __y; }
    };
  template<typename _Tp>
    struct greater_equal : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x >= __y; }
    };
  template<typename _Tp>
    struct less_equal : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x <= __y; }
    };
  template<typename _Tp>
    struct logical_and : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x && __y; }
    };
  template<typename _Tp>
    struct logical_or : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x || __y; }
    };
  template<typename _Tp>
    struct logical_not : public unary_function<_Tp, bool>
    {
      bool
      operator()(const _Tp& __x) const
      { return !__x; }
    };
  template<typename _Tp>
    struct bit_and : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x & __y; }
    };
  template<typename _Tp>
    struct bit_or : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x | __y; }
    };
  template<typename _Tp>
    struct bit_xor : public binary_function<_Tp, _Tp, _Tp>
    {
      _Tp
      operator()(const _Tp& __x, const _Tp& __y) const
      { return __x ^ __y; }
    };
  template<typename _Predicate>
    class unary_negate
    : public unary_function<typename _Predicate::argument_type, bool>
    {
    protected:
      _Predicate _M_pred;
    public:
      explicit
      unary_negate(const _Predicate& __x) : _M_pred(__x) { }
      bool
      operator()(const typename _Predicate::argument_type& __x) const
      { return !_M_pred(__x); }
    };
  template<typename _Predicate>
    inline unary_negate<_Predicate>
    not1(const _Predicate& __pred)
    { return unary_negate<_Predicate>(__pred); }
  template<typename _Predicate>
    class binary_negate
    : public binary_function<typename _Predicate::first_argument_type,
        typename _Predicate::second_argument_type, bool>
    {
    protected:
      _Predicate _M_pred;
    public:
      explicit
      binary_negate(const _Predicate& __x) : _M_pred(__x) { }
      bool
      operator()(const typename _Predicate::first_argument_type& __x,
   const typename _Predicate::second_argument_type& __y) const
      { return !_M_pred(__x, __y); }
    };
  template<typename _Predicate>
    inline binary_negate<_Predicate>
    not2(const _Predicate& __pred)
    { return binary_negate<_Predicate>(__pred); }
  template<typename _Arg, typename _Result>
    class pointer_to_unary_function : public unary_function<_Arg, _Result>
    {
    protected:
      _Result (*_M_ptr)(_Arg);
    public:
      pointer_to_unary_function() { }
      explicit
      pointer_to_unary_function(_Result (*__x)(_Arg))
      : _M_ptr(__x) { }
      _Result
      operator()(_Arg __x) const
      { return _M_ptr(__x); }
    };
  template<typename _Arg, typename _Result>
    inline pointer_to_unary_function<_Arg, _Result>
    ptr_fun(_Result (*__x)(_Arg))
    { return pointer_to_unary_function<_Arg, _Result>(__x); }
  template<typename _Arg1, typename _Arg2, typename _Result>
    class pointer_to_binary_function
    : public binary_function<_Arg1, _Arg2, _Result>
    {
    protected:
      _Result (*_M_ptr)(_Arg1, _Arg2);
    public:
      pointer_to_binary_function() { }
      explicit
      pointer_to_binary_function(_Result (*__x)(_Arg1, _Arg2))
      : _M_ptr(__x) { }
      _Result
      operator()(_Arg1 __x, _Arg2 __y) const
      { return _M_ptr(__x, __y); }
    };
  template<typename _Arg1, typename _Arg2, typename _Result>
    inline pointer_to_binary_function<_Arg1, _Arg2, _Result>
    ptr_fun(_Result (*__x)(_Arg1, _Arg2))
    { return pointer_to_binary_function<_Arg1, _Arg2, _Result>(__x); }
  template<typename _Tp>
    struct _Identity
    {
      _Tp&
      operator()(_Tp& __x) const
      { return __x; }
      const _Tp&
      operator()(const _Tp& __x) const
      { return __x; }
    };
  template<typename _Pair>
    struct _Select1st
    {
      typename _Pair::first_type&
      operator()(_Pair& __x) const
      { return __x.first; }
      const typename _Pair::first_type&
      operator()(const _Pair& __x) const
      { return __x.first; }
      template<typename _Pair2>
        typename _Pair2::first_type&
        operator()(_Pair2& __x) const
        { return __x.first; }
      template<typename _Pair2>
        const typename _Pair2::first_type&
        operator()(const _Pair2& __x) const
        { return __x.first; }
    };
  template<typename _Pair>
    struct _Select2nd
    {
      typename _Pair::second_type&
      operator()(_Pair& __x) const
      { return __x.second; }
      const typename _Pair::second_type&
      operator()(const _Pair& __x) const
      { return __x.second; }
    };
  template<typename _Ret, typename _Tp>
    class mem_fun_t : public unary_function<_Tp*, _Ret>
    {
    public:
      explicit
      mem_fun_t(_Ret (_Tp::*__pf)())
      : _M_f(__pf) { }
      _Ret
      operator()(_Tp* __p) const
      { return (__p->*_M_f)(); }
    private:
      _Ret (_Tp::*_M_f)();
    };
  template<typename _Ret, typename _Tp>
    class const_mem_fun_t : public unary_function<const _Tp*, _Ret>
    {
    public:
      explicit
      const_mem_fun_t(_Ret (_Tp::*__pf)() const)
      : _M_f(__pf) { }
      _Ret
      operator()(const _Tp* __p) const
      { return (__p->*_M_f)(); }
    private:
      _Ret (_Tp::*_M_f)() const;
    };
  template<typename _Ret, typename _Tp>
    class mem_fun_ref_t : public unary_function<_Tp, _Ret>
    {
    public:
      explicit
      mem_fun_ref_t(_Ret (_Tp::*__pf)())
      : _M_f(__pf) { }
      _Ret
      operator()(_Tp& __r) const
      { return (__r.*_M_f)(); }
    private:
      _Ret (_Tp::*_M_f)();
  };
  template<typename _Ret, typename _Tp>
    class const_mem_fun_ref_t : public unary_function<_Tp, _Ret>
    {
    public:
      explicit
      const_mem_fun_ref_t(_Ret (_Tp::*__pf)() const)
      : _M_f(__pf) { }
      _Ret
      operator()(const _Tp& __r) const
      { return (__r.*_M_f)(); }
    private:
      _Ret (_Tp::*_M_f)() const;
    };
  template<typename _Ret, typename _Tp, typename _Arg>
    class mem_fun1_t : public binary_function<_Tp*, _Arg, _Ret>
    {
    public:
      explicit
      mem_fun1_t(_Ret (_Tp::*__pf)(_Arg))
      : _M_f(__pf) { }
      _Ret
      operator()(_Tp* __p, _Arg __x) const
      { return (__p->*_M_f)(__x); }
    private:
      _Ret (_Tp::*_M_f)(_Arg);
    };
  template<typename _Ret, typename _Tp, typename _Arg>
    class const_mem_fun1_t : public binary_function<const _Tp*, _Arg, _Ret>
    {
    public:
      explicit
      const_mem_fun1_t(_Ret (_Tp::*__pf)(_Arg) const)
      : _M_f(__pf) { }
      _Ret
      operator()(const _Tp* __p, _Arg __x) const
      { return (__p->*_M_f)(__x); }
    private:
      _Ret (_Tp::*_M_f)(_Arg) const;
    };
  template<typename _Ret, typename _Tp, typename _Arg>
    class mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
    {
    public:
      explicit
      mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg))
      : _M_f(__pf) { }
      _Ret
      operator()(_Tp& __r, _Arg __x) const
      { return (__r.*_M_f)(__x); }
    private:
      _Ret (_Tp::*_M_f)(_Arg);
    };
  template<typename _Ret, typename _Tp, typename _Arg>
    class const_mem_fun1_ref_t : public binary_function<_Tp, _Arg, _Ret>
    {
    public:
      explicit
      const_mem_fun1_ref_t(_Ret (_Tp::*__pf)(_Arg) const)
      : _M_f(__pf) { }
      _Ret
      operator()(const _Tp& __r, _Arg __x) const
      { return (__r.*_M_f)(__x); }
    private:
      _Ret (_Tp::*_M_f)(_Arg) const;
    };
  template<typename _Ret, typename _Tp>
    inline mem_fun_t<_Ret, _Tp>
    mem_fun(_Ret (_Tp::*__f)())
    { return mem_fun_t<_Ret, _Tp>(__f); }
  template<typename _Ret, typename _Tp>
    inline const_mem_fun_t<_Ret, _Tp>
    mem_fun(_Ret (_Tp::*__f)() const)
    { return const_mem_fun_t<_Ret, _Tp>(__f); }
  template<typename _Ret, typename _Tp>
    inline mem_fun_ref_t<_Ret, _Tp>
    mem_fun_ref(_Ret (_Tp::*__f)())
    { return mem_fun_ref_t<_Ret, _Tp>(__f); }
  template<typename _Ret, typename _Tp>
    inline const_mem_fun_ref_t<_Ret, _Tp>
    mem_fun_ref(_Ret (_Tp::*__f)() const)
    { return const_mem_fun_ref_t<_Ret, _Tp>(__f); }
  template<typename _Ret, typename _Tp, typename _Arg>
    inline mem_fun1_t<_Ret, _Tp, _Arg>
    mem_fun(_Ret (_Tp::*__f)(_Arg))
    { return mem_fun1_t<_Ret, _Tp, _Arg>(__f); }
  template<typename _Ret, typename _Tp, typename _Arg>
    inline const_mem_fun1_t<_Ret, _Tp, _Arg>
    mem_fun(_Ret (_Tp::*__f)(_Arg) const)
    { return const_mem_fun1_t<_Ret, _Tp, _Arg>(__f); }
  template<typename _Ret, typename _Tp, typename _Arg>
    inline mem_fun1_ref_t<_Ret, _Tp, _Arg>
    mem_fun_ref(_Ret (_Tp::*__f)(_Arg))
    { return mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }
  template<typename _Ret, typename _Tp, typename _Arg>
    inline const_mem_fun1_ref_t<_Ret, _Tp, _Arg>
    mem_fun_ref(_Ret (_Tp::*__f)(_Arg) const)
    { return const_mem_fun1_ref_t<_Ret, _Tp, _Arg>(__f); }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Operation>
    class binder1st
    : public unary_function<typename _Operation::second_argument_type,
       typename _Operation::result_type>
    {
    protected:
      _Operation op;
      typename _Operation::first_argument_type value;
    public:
      binder1st(const _Operation& __x,
  const typename _Operation::first_argument_type& __y)
      : op(__x), value(__y) { }
      typename _Operation::result_type
      operator()(const typename _Operation::second_argument_type& __x) const
      { return op(value, __x); }
      typename _Operation::result_type
      operator()(typename _Operation::second_argument_type& __x) const
      { return op(value, __x); }
    } __attribute__ ((__deprecated__));
  template<typename _Operation, typename _Tp>
    inline binder1st<_Operation>
    bind1st(const _Operation& __fn, const _Tp& __x)
    {
      typedef typename _Operation::first_argument_type _Arg1_type;
      return binder1st<_Operation>(__fn, _Arg1_type(__x));
    }
  template<typename _Operation>
    class binder2nd
    : public unary_function<typename _Operation::first_argument_type,
       typename _Operation::result_type>
    {
    protected:
      _Operation op;
      typename _Operation::second_argument_type value;
    public:
      binder2nd(const _Operation& __x,
  const typename _Operation::second_argument_type& __y)
      : op(__x), value(__y) { }
      typename _Operation::result_type
      operator()(const typename _Operation::first_argument_type& __x) const
      { return op(__x, value); }
      typename _Operation::result_type
      operator()(typename _Operation::first_argument_type& __x) const
      { return op(__x, value); }
    } __attribute__ ((__deprecated__));
  template<typename _Operation, typename _Tp>
    inline binder2nd<_Operation>
    bind2nd(const _Operation& __fn, const _Tp& __x)
    {
      typedef typename _Operation::second_argument_type _Arg2_type;
      return binder2nd<_Operation>(__fn, _Arg2_type(__x));
    }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  struct allocator_arg_t { };
  constexpr allocator_arg_t allocator_arg = allocator_arg_t();
template<typename _Tp> class __has_allocator_type_helper : __sfinae_types { template<typename _Up> struct _Wrap_type { }; template<typename _Up> static __one __test(_Wrap_type<typename _Up::allocator_type>*); template<typename _Up> static __two __test(...); public: static constexpr bool value = sizeof(__test<_Tp>(0)) == 1; }; template<typename _Tp> struct __has_allocator_type : integral_constant<bool, __has_allocator_type_helper <typename remove_cv<_Tp>::type>::value> { };
  template<typename _Tp, typename _Alloc,
    bool = __has_allocator_type<_Tp>::value>
    struct __uses_allocator_helper
    : public false_type { };
  template<typename _Tp, typename _Alloc>
    struct __uses_allocator_helper<_Tp, _Alloc, true>
    : public integral_constant<bool, is_convertible<_Alloc,
         typename _Tp::allocator_type>::value>
    { };
  template<typename _Tp, typename _Alloc>
    struct uses_allocator
    : public integral_constant<bool,
          __uses_allocator_helper<_Tp, _Alloc>::value>
    { };
  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __uses_allocator_arg
    : is_constructible<_Tp, _Alloc, _Args...>
    { static_assert( uses_allocator<_Tp, _Alloc>::value, "uses allocator" ); };
  struct __uses_alloc_base { };
  struct __uses_alloc0 : __uses_alloc_base
  { struct _Anything { _Anything(...) { } } _M_a; };
  template<typename _Alloc>
    struct __uses_alloc1 : __uses_alloc_base { const _Alloc* _M_a; };
  template<typename _Alloc>
    struct __uses_alloc2 : __uses_alloc_base { const _Alloc* _M_a; };
  template<bool, typename _Alloc, typename... _Args>
    struct __uses_alloc;
  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __uses_alloc<true, _Tp, _Alloc, _Args...>
    : conditional<
        is_constructible<_Tp, allocator_arg_t, _Alloc, _Args...>::value,
        __uses_alloc1<_Alloc>,
        __uses_alloc2<_Alloc>>::type
    { };
  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __uses_alloc<false, _Tp, _Alloc, _Args...>
    : __uses_alloc0 { };
  template<typename _Tp, typename _Alloc, typename... _Args>
    struct __uses_alloc_impl
    : __uses_alloc<uses_allocator<_Tp, _Alloc>::value, _Tp, _Alloc, _Args...>
    { };
  template<typename _Tp, typename _Alloc, typename... _Args>
    __uses_alloc_impl<_Tp, _Alloc, _Args...>
    __use_alloc(const _Alloc& __a)
    {
      __uses_alloc_impl<_Tp, _Alloc, _Args...> __ret;
      __ret._M_a = &__a;
      return __ret;
    }

}
       
       
       
namespace std __attribute__ ((__visibility__ ("default")))
{
  namespace rel_ops
  {
 
    template <class _Tp>
      inline bool
      operator!=(const _Tp& __x, const _Tp& __y)
      { return !(__x == __y); }
    template <class _Tp>
      inline bool
      operator>(const _Tp& __x, const _Tp& __y)
      { return __y < __x; }
    template <class _Tp>
      inline bool
      operator<=(const _Tp& __x, const _Tp& __y)
      { return !(__y < __x); }
    template <class _Tp>
      inline bool
      operator>=(const _Tp& __x, const _Tp& __y)
      { return !(__x < __y); }
 
  }
}
       
#pragma GCC visibility push(default)
namespace std
{
  template<class _E>
    class initializer_list
    {
    public:
      typedef _E value_type;
      typedef const _E& reference;
      typedef const _E& const_reference;
      typedef size_t size_type;
      typedef const _E* iterator;
      typedef const _E* const_iterator;
    private:
      iterator _M_array;
      size_type _M_len;
      constexpr initializer_list(const_iterator __a, size_type __l)
      : _M_array(__a), _M_len(__l) { }
    public:
      constexpr initializer_list() noexcept
      : _M_array(0), _M_len(0) { }
      constexpr size_type
      size() const noexcept { return _M_len; }
      constexpr const_iterator
      begin() const noexcept { return _M_array; }
      constexpr const_iterator
      end() const noexcept { return begin() + size(); }
  };
  template<class _Tp>
    constexpr const _Tp*
    begin(initializer_list<_Tp> __ils) noexcept
    { return __ils.begin(); }
  template<class _Tp>
    constexpr const _Tp*
    end(initializer_list<_Tp> __ils) noexcept
    { return __ils.end(); }
}
#pragma GCC visibility pop
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<class _Tp>
    class tuple_size;
  template<std::size_t _Int, class _Tp>
    class tuple_element;
  template<class _Tp1, class _Tp2>
    struct tuple_size<std::pair<_Tp1, _Tp2>>
    : public integral_constant<std::size_t, 2> { };
  template<class _Tp1, class _Tp2>
    struct tuple_element<0, std::pair<_Tp1, _Tp2>>
    { typedef _Tp1 type; };
  template<class _Tp1, class _Tp2>
    struct tuple_element<1, std::pair<_Tp1, _Tp2>>
    { typedef _Tp2 type; };
  template<std::size_t _Int>
    struct __pair_get;
  template<>
    struct __pair_get<0>
    {
      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp1&
        __get(std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.first; }
      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp1&&
        __move_get(std::pair<_Tp1, _Tp2>&& __pair) noexcept
        { return std::forward<_Tp1>(__pair.first); }
      template<typename _Tp1, typename _Tp2>
        static constexpr const _Tp1&
        __const_get(const std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.first; }
    };
  template<>
    struct __pair_get<1>
    {
      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp2&
        __get(std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.second; }
      template<typename _Tp1, typename _Tp2>
        static constexpr _Tp2&&
        __move_get(std::pair<_Tp1, _Tp2>&& __pair) noexcept
        { return std::forward<_Tp2>(__pair.second); }
      template<typename _Tp1, typename _Tp2>
        static constexpr const _Tp2&
        __const_get(const std::pair<_Tp1, _Tp2>& __pair) noexcept
        { return __pair.second; }
    };
  template<std::size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, std::pair<_Tp1, _Tp2>>::type&
    get(std::pair<_Tp1, _Tp2>& __in) noexcept
    { return __pair_get<_Int>::__get(__in); }
  template<std::size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, std::pair<_Tp1, _Tp2>>::type&&
    get(std::pair<_Tp1, _Tp2>&& __in) noexcept
    { return __pair_get<_Int>::__move_get(std::move(__in)); }
  template<std::size_t _Int, class _Tp1, class _Tp2>
    constexpr const typename tuple_element<_Int, std::pair<_Tp1, _Tp2>>::type&
    get(const std::pair<_Tp1, _Tp2>& __in) noexcept
    { return __pair_get<_Int>::__const_get(__in); }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Tp>
    struct __add_c_ref
    { typedef const _Tp& type; };
  template<typename _Tp>
    struct __add_c_ref<_Tp&>
    { typedef _Tp& type; };
  template<typename _Tp>
    struct __add_ref
    { typedef _Tp& type; };
  template<typename _Tp>
    struct __add_ref<_Tp&>
    { typedef _Tp& type; };
  template<typename _Tp>
    struct __add_r_ref
    { typedef _Tp&& type; };
  template<typename _Tp>
    struct __add_r_ref<_Tp&>
    { typedef _Tp& type; };
  template<std::size_t _Idx, typename _Head, bool _IsEmptyNotFinal>
    struct _Head_base;
  template<std::size_t _Idx, typename _Head>
    struct _Head_base<_Idx, _Head, true>
    : public _Head
    {
      constexpr _Head_base()
      : _Head() { }
      constexpr _Head_base(const _Head& __h)
      : _Head(__h) { }
      template<typename _UHead, typename = typename
        enable_if<!is_convertible<_UHead,
                                  __uses_alloc_base>::value>::type>
        constexpr _Head_base(_UHead&& __h)
 : _Head(std::forward<_UHead>(__h)) { }
      _Head_base(__uses_alloc0)
      : _Head() { }
      template<typename _Alloc>
 _Head_base(__uses_alloc1<_Alloc> __a)
 : _Head(allocator_arg, *__a._M_a) { }
      template<typename _Alloc>
 _Head_base(__uses_alloc2<_Alloc> __a)
 : _Head(*__a._M_a) { }
      template<typename _UHead>
 _Head_base(__uses_alloc0, _UHead&& __uhead)
 : _Head(std::forward<_UHead>(__uhead)) { }
      template<typename _Alloc, typename _UHead>
 _Head_base(__uses_alloc1<_Alloc> __a, _UHead&& __uhead)
 : _Head(allocator_arg, *__a._M_a, std::forward<_UHead>(__uhead)) { }
      template<typename _Alloc, typename _UHead>
 _Head_base(__uses_alloc2<_Alloc> __a, _UHead&& __uhead)
 : _Head(std::forward<_UHead>(__uhead), *__a._M_a) { }
      static constexpr _Head&
      _M_head(_Head_base& __b) noexcept { return __b; }
      static constexpr const _Head&
      _M_head(const _Head_base& __b) noexcept { return __b; }
    };
  template<std::size_t _Idx, typename _Head>
    struct _Head_base<_Idx, _Head, false>
    {
      constexpr _Head_base()
      : _M_head_impl() { }
      constexpr _Head_base(const _Head& __h)
      : _M_head_impl(__h) { }
      template<typename _UHead, typename = typename
        enable_if<!is_convertible<_UHead,
                                  __uses_alloc_base>::value>::type>
        constexpr _Head_base(_UHead&& __h)
 : _M_head_impl(std::forward<_UHead>(__h)) { }
      _Head_base(__uses_alloc0)
      : _M_head_impl() { }
      template<typename _Alloc>
 _Head_base(__uses_alloc1<_Alloc> __a)
 : _M_head_impl(allocator_arg, *__a._M_a) { }
      template<typename _Alloc>
 _Head_base(__uses_alloc2<_Alloc> __a)
 : _M_head_impl(*__a._M_a) { }
      template<typename _UHead>
 _Head_base(__uses_alloc0, _UHead&& __uhead)
 : _M_head_impl(std::forward<_UHead>(__uhead)) { }
      template<typename _Alloc, typename _UHead>
 _Head_base(__uses_alloc1<_Alloc> __a, _UHead&& __uhead)
 : _M_head_impl(allocator_arg, *__a._M_a, std::forward<_UHead>(__uhead))
 { }
      template<typename _Alloc, typename _UHead>
 _Head_base(__uses_alloc2<_Alloc> __a, _UHead&& __uhead)
 : _M_head_impl(std::forward<_UHead>(__uhead), *__a._M_a) { }
      static constexpr _Head&
      _M_head(_Head_base& __b) noexcept { return __b._M_head_impl; }
      static constexpr const _Head&
      _M_head(const _Head_base& __b) noexcept { return __b._M_head_impl; }
      _Head _M_head_impl;
    };
  template<std::size_t _Idx, typename... _Elements>
    struct _Tuple_impl;
  template<std::size_t _Idx>
    struct _Tuple_impl<_Idx>
    {
      template<std::size_t, typename...> friend class _Tuple_impl;
      _Tuple_impl() = default;
      template<typename _Alloc>
        _Tuple_impl(allocator_arg_t, const _Alloc&) { }
      template<typename _Alloc>
        _Tuple_impl(allocator_arg_t, const _Alloc&, const _Tuple_impl&) { }
      template<typename _Alloc>
        _Tuple_impl(allocator_arg_t, const _Alloc&, _Tuple_impl&&) { }
    protected:
      void _M_swap(_Tuple_impl&) noexcept { }
    };
  template<typename _Tp>
    using __empty_not_final
      = typename conditional<__is_final(_Tp), false_type, is_empty<_Tp>>::type;
  template<std::size_t _Idx, typename _Head, typename... _Tail>
    struct _Tuple_impl<_Idx, _Head, _Tail...>
    : public _Tuple_impl<_Idx + 1, _Tail...>,
      private _Head_base<_Idx, _Head, __empty_not_final<_Head>::value>
    {
      template<std::size_t, typename...> friend class _Tuple_impl;
      typedef _Tuple_impl<_Idx + 1, _Tail...> _Inherited;
      typedef _Head_base<_Idx, _Head, __empty_not_final<_Head>::value> _Base;
      static constexpr _Head&
      _M_head(_Tuple_impl& __t) noexcept { return _Base::_M_head(__t); }
      static constexpr const _Head&
      _M_head(const _Tuple_impl& __t) noexcept { return _Base::_M_head(__t); }
      static constexpr _Inherited&
      _M_tail(_Tuple_impl& __t) noexcept { return __t; }
      static constexpr const _Inherited&
      _M_tail(const _Tuple_impl& __t) noexcept { return __t; }
      constexpr _Tuple_impl()
      : _Inherited(), _Base() { }
      explicit
      constexpr _Tuple_impl(const _Head& __head, const _Tail&... __tail)
      : _Inherited(__tail...), _Base(__head) { }
      template<typename _UHead, typename... _UTail, typename = typename
               enable_if<sizeof...(_Tail) == sizeof...(_UTail)>::type>
        explicit
        constexpr _Tuple_impl(_UHead&& __head, _UTail&&... __tail)
 : _Inherited(std::forward<_UTail>(__tail)...),
   _Base(std::forward<_UHead>(__head)) { }
      constexpr _Tuple_impl(const _Tuple_impl&) = default;
      constexpr
      _Tuple_impl(_Tuple_impl&& __in)
      noexcept(__and_<is_nothrow_move_constructible<_Head>,
               is_nothrow_move_constructible<_Inherited>>::value)
      : _Inherited(std::move(_M_tail(__in))),
 _Base(std::forward<_Head>(_M_head(__in))) { }
      template<typename... _UElements>
        constexpr _Tuple_impl(const _Tuple_impl<_Idx, _UElements...>& __in)
 : _Inherited(_Tuple_impl<_Idx, _UElements...>::_M_tail(__in)),
   _Base(_Tuple_impl<_Idx, _UElements...>::_M_head(__in)) { }
      template<typename _UHead, typename... _UTails>
        constexpr _Tuple_impl(_Tuple_impl<_Idx, _UHead, _UTails...>&& __in)
 : _Inherited(std::move
       (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_tail(__in))),
   _Base(std::forward<_UHead>
  (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_head(__in))) { }
      template<typename _Alloc>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a)
 : _Inherited(__tag, __a),
          _Base(__use_alloc<_Head>(__a)) { }
      template<typename _Alloc>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
      const _Head& __head, const _Tail&... __tail)
 : _Inherited(__tag, __a, __tail...),
          _Base(__use_alloc<_Head, _Alloc, _Head>(__a), __head) { }
      template<typename _Alloc, typename _UHead, typename... _UTail,
               typename = typename enable_if<sizeof...(_Tail)
          == sizeof...(_UTail)>::type>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
             _UHead&& __head, _UTail&&... __tail)
 : _Inherited(__tag, __a, std::forward<_UTail>(__tail)...),
          _Base(__use_alloc<_Head, _Alloc, _UHead>(__a),
         std::forward<_UHead>(__head)) { }
      template<typename _Alloc>
        _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
             const _Tuple_impl& __in)
 : _Inherited(__tag, __a, _M_tail(__in)),
          _Base(__use_alloc<_Head, _Alloc, _Head>(__a), _M_head(__in)) { }
      template<typename _Alloc>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
             _Tuple_impl&& __in)
 : _Inherited(__tag, __a, std::move(_M_tail(__in))),
   _Base(__use_alloc<_Head, _Alloc, _Head>(__a),
         std::forward<_Head>(_M_head(__in))) { }
      template<typename _Alloc, typename... _UElements>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
             const _Tuple_impl<_Idx, _UElements...>& __in)
 : _Inherited(__tag, __a,
       _Tuple_impl<_Idx, _UElements...>::_M_tail(__in)),
   _Base(__use_alloc<_Head, _Alloc, _Head>(__a),
  _Tuple_impl<_Idx, _UElements...>::_M_head(__in)) { }
      template<typename _Alloc, typename _UHead, typename... _UTails>
 _Tuple_impl(allocator_arg_t __tag, const _Alloc& __a,
             _Tuple_impl<_Idx, _UHead, _UTails...>&& __in)
 : _Inherited(__tag, __a, std::move
       (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_tail(__in))),
   _Base(__use_alloc<_Head, _Alloc, _UHead>(__a),
                std::forward<_UHead>
  (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_head(__in))) { }
      _Tuple_impl&
      operator=(const _Tuple_impl& __in)
      {
 _M_head(*this) = _M_head(__in);
 _M_tail(*this) = _M_tail(__in);
 return *this;
      }
      _Tuple_impl&
      operator=(_Tuple_impl&& __in)
      noexcept(__and_<is_nothrow_move_assignable<_Head>,
               is_nothrow_move_assignable<_Inherited>>::value)
      {
 _M_head(*this) = std::forward<_Head>(_M_head(__in));
 _M_tail(*this) = std::move(_M_tail(__in));
 return *this;
      }
      template<typename... _UElements>
        _Tuple_impl&
        operator=(const _Tuple_impl<_Idx, _UElements...>& __in)
        {
   _M_head(*this) = _Tuple_impl<_Idx, _UElements...>::_M_head(__in);
   _M_tail(*this) = _Tuple_impl<_Idx, _UElements...>::_M_tail(__in);
   return *this;
 }
      template<typename _UHead, typename... _UTails>
        _Tuple_impl&
        operator=(_Tuple_impl<_Idx, _UHead, _UTails...>&& __in)
        {
   _M_head(*this) = std::forward<_UHead>
     (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_head(__in));
   _M_tail(*this) = std::move
     (_Tuple_impl<_Idx, _UHead, _UTails...>::_M_tail(__in));
   return *this;
 }
    protected:
      void
      _M_swap(_Tuple_impl& __in)
      noexcept(noexcept(swap(std::declval<_Head&>(),
        std::declval<_Head&>()))
        && noexcept(_M_tail(__in)._M_swap(_M_tail(__in))))
      {
 using std::swap;
 swap(_M_head(*this), _M_head(__in));
 _Inherited::_M_swap(_M_tail(__in));
      }
    };
  template<typename... _Elements>
    class tuple : public _Tuple_impl<0, _Elements...>
    {
      typedef _Tuple_impl<0, _Elements...> _Inherited;
    public:
      constexpr tuple()
      : _Inherited() { }
      explicit
      constexpr tuple(const _Elements&... __elements)
      : _Inherited(__elements...) { }
      template<typename... _UElements, typename = typename
        enable_if<__and_<is_convertible<_UElements,
     _Elements>...>::value>::type>
 explicit
        constexpr tuple(_UElements&&... __elements)
 : _Inherited(std::forward<_UElements>(__elements)...) { }
      constexpr tuple(const tuple&) = default;
      constexpr tuple(tuple&&) = default;
      template<typename... _UElements, typename = typename
        enable_if<__and_<is_convertible<const _UElements&,
     _Elements>...>::value>::type>
        constexpr tuple(const tuple<_UElements...>& __in)
        : _Inherited(static_cast<const _Tuple_impl<0, _UElements...>&>(__in))
        { }
      template<typename... _UElements, typename = typename
        enable_if<__and_<is_convertible<_UElements,
     _Elements>...>::value>::type>
        constexpr tuple(tuple<_UElements...>&& __in)
        : _Inherited(static_cast<_Tuple_impl<0, _UElements...>&&>(__in)) { }
      template<typename _Alloc>
 tuple(allocator_arg_t __tag, const _Alloc& __a)
 : _Inherited(__tag, __a) { }
      template<typename _Alloc>
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const _Elements&... __elements)
 : _Inherited(__tag, __a, __elements...) { }
      template<typename _Alloc, typename... _UElements, typename = typename
        enable_if<sizeof...(_UElements)
    == sizeof...(_Elements)>::type>
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       _UElements&&... __elements)
 : _Inherited(__tag, __a, std::forward<_UElements>(__elements)...)
        { }
      template<typename _Alloc>
 tuple(allocator_arg_t __tag, const _Alloc& __a, const tuple& __in)
 : _Inherited(__tag, __a, static_cast<const _Inherited&>(__in)) { }
      template<typename _Alloc>
 tuple(allocator_arg_t __tag, const _Alloc& __a, tuple&& __in)
 : _Inherited(__tag, __a, static_cast<_Inherited&&>(__in)) { }
      template<typename _Alloc, typename... _UElements, typename = typename
        enable_if<sizeof...(_UElements)
    == sizeof...(_Elements)>::type>
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const tuple<_UElements...>& __in)
 : _Inherited(__tag, __a,
              static_cast<const _Tuple_impl<0, _UElements...>&>(__in))
 { }
      template<typename _Alloc, typename... _UElements, typename = typename
        enable_if<sizeof...(_UElements)
    == sizeof...(_Elements)>::type>
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       tuple<_UElements...>&& __in)
 : _Inherited(__tag, __a,
              static_cast<_Tuple_impl<0, _UElements...>&&>(__in))
 { }
      tuple&
      operator=(const tuple& __in)
      {
 static_cast<_Inherited&>(*this) = __in;
 return *this;
      }
      tuple&
      operator=(tuple&& __in)
      noexcept(is_nothrow_move_assignable<_Inherited>::value)
      {
 static_cast<_Inherited&>(*this) = std::move(__in);
 return *this;
      }
      template<typename... _UElements, typename = typename
        enable_if<sizeof...(_UElements)
    == sizeof...(_Elements)>::type>
        tuple&
        operator=(const tuple<_UElements...>& __in)
        {
   static_cast<_Inherited&>(*this) = __in;
   return *this;
 }
      template<typename... _UElements, typename = typename
        enable_if<sizeof...(_UElements)
    == sizeof...(_Elements)>::type>
        tuple&
        operator=(tuple<_UElements...>&& __in)
        {
   static_cast<_Inherited&>(*this) = std::move(__in);
   return *this;
 }
      void
      swap(tuple& __in)
      noexcept(noexcept(__in._M_swap(__in)))
      { _Inherited::_M_swap(__in); }
    };
  template<>
    class tuple<>
    {
    public:
      void swap(tuple&) noexcept { }
    };
  template<typename _T1, typename _T2>
    class tuple<_T1, _T2> : public _Tuple_impl<0, _T1, _T2>
    {
      typedef _Tuple_impl<0, _T1, _T2> _Inherited;
    public:
      constexpr tuple()
      : _Inherited() { }
      explicit
      constexpr tuple(const _T1& __a1, const _T2& __a2)
      : _Inherited(__a1, __a2) { }
      template<typename _U1, typename _U2, typename = typename
        enable_if<__and_<is_convertible<_U1, _T1>,
    is_convertible<_U2, _T2>>::value>::type>
        explicit
        constexpr tuple(_U1&& __a1, _U2&& __a2)
 : _Inherited(std::forward<_U1>(__a1), std::forward<_U2>(__a2)) { }
      constexpr tuple(const tuple&) = default;
      constexpr tuple(tuple&&) = default;
      template<typename _U1, typename _U2, typename = typename
 enable_if<__and_<is_convertible<const _U1&, _T1>,
    is_convertible<const _U2&, _T2>>::value>::type>
        constexpr tuple(const tuple<_U1, _U2>& __in)
 : _Inherited(static_cast<const _Tuple_impl<0, _U1, _U2>&>(__in)) { }
      template<typename _U1, typename _U2, typename = typename
        enable_if<__and_<is_convertible<_U1, _T1>,
    is_convertible<_U2, _T2>>::value>::type>
        constexpr tuple(tuple<_U1, _U2>&& __in)
 : _Inherited(static_cast<_Tuple_impl<0, _U1, _U2>&&>(__in)) { }
      template<typename _U1, typename _U2, typename = typename
 enable_if<__and_<is_convertible<const _U1&, _T1>,
    is_convertible<const _U2&, _T2>>::value>::type>
        constexpr tuple(const pair<_U1, _U2>& __in)
 : _Inherited(__in.first, __in.second) { }
      template<typename _U1, typename _U2, typename = typename
        enable_if<__and_<is_convertible<_U1, _T1>,
    is_convertible<_U2, _T2>>::value>::type>
        constexpr tuple(pair<_U1, _U2>&& __in)
 : _Inherited(std::forward<_U1>(__in.first),
       std::forward<_U2>(__in.second)) { }
      template<typename _Alloc>
 tuple(allocator_arg_t __tag, const _Alloc& __a)
 : _Inherited(__tag, __a) { }
      template<typename _Alloc>
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const _T1& __a1, const _T2& __a2)
 : _Inherited(__tag, __a, __a1, __a2) { }
      template<typename _Alloc, typename _U1, typename _U2>
 tuple(allocator_arg_t __tag, const _Alloc& __a, _U1&& __a1, _U2&& __a2)
 : _Inherited(__tag, __a, std::forward<_U1>(__a1),
              std::forward<_U2>(__a2)) { }
      template<typename _Alloc>
 tuple(allocator_arg_t __tag, const _Alloc& __a, const tuple& __in)
 : _Inherited(__tag, __a, static_cast<const _Inherited&>(__in)) { }
      template<typename _Alloc>
 tuple(allocator_arg_t __tag, const _Alloc& __a, tuple&& __in)
 : _Inherited(__tag, __a, static_cast<_Inherited&&>(__in)) { }
      template<typename _Alloc, typename _U1, typename _U2>
 tuple(allocator_arg_t __tag, const _Alloc& __a,
       const tuple<_U1, _U2>& __in)
 : _Inherited(__tag, __a,
              static_cast<const _Tuple_impl<0, _U1, _U2>&>(__in))
 { }
      template<typename _Alloc, typename _U1, typename _U2>
 tuple(allocator_arg_t __tag, const _Alloc& __a, tuple<_U1, _U2>&& __in)
 : _Inherited(__tag, __a, static_cast<_Tuple_impl<0, _U1, _U2>&&>(__in))
 { }
      template<typename _Alloc, typename _U1, typename _U2>
        tuple(allocator_arg_t __tag, const _Alloc& __a,
       const pair<_U1, _U2>& __in)
 : _Inherited(__tag, __a, __in.first, __in.second) { }
      template<typename _Alloc, typename _U1, typename _U2>
        tuple(allocator_arg_t __tag, const _Alloc& __a, pair<_U1, _U2>&& __in)
 : _Inherited(__tag, __a, std::forward<_U1>(__in.first),
       std::forward<_U2>(__in.second)) { }
      tuple&
      operator=(const tuple& __in)
      {
 static_cast<_Inherited&>(*this) = __in;
 return *this;
      }
      tuple&
      operator=(tuple&& __in)
      noexcept(is_nothrow_move_assignable<_Inherited>::value)
      {
 static_cast<_Inherited&>(*this) = std::move(__in);
 return *this;
      }
      template<typename _U1, typename _U2>
        tuple&
        operator=(const tuple<_U1, _U2>& __in)
        {
   static_cast<_Inherited&>(*this) = __in;
   return *this;
 }
      template<typename _U1, typename _U2>
        tuple&
        operator=(tuple<_U1, _U2>&& __in)
        {
   static_cast<_Inherited&>(*this) = std::move(__in);
   return *this;
 }
      template<typename _U1, typename _U2>
        tuple&
        operator=(const pair<_U1, _U2>& __in)
        {
   this->_M_head(*this) = __in.first;
   this->_M_tail(*this)._M_head(*this) = __in.second;
   return *this;
 }
      template<typename _U1, typename _U2>
        tuple&
        operator=(pair<_U1, _U2>&& __in)
        {
   this->_M_head(*this) = std::forward<_U1>(__in.first);
   this->_M_tail(*this)._M_head(*this) = std::forward<_U2>(__in.second);
   return *this;
 }
      void
      swap(tuple& __in)
      noexcept(noexcept(__in._M_swap(__in)))
      { _Inherited::_M_swap(__in); }
    };
  template<std::size_t __i, typename _Tp>
    struct tuple_element;
  template<std::size_t __i, typename _Head, typename... _Tail>
    struct tuple_element<__i, tuple<_Head, _Tail...> >
    : tuple_element<__i - 1, tuple<_Tail...> > { };
  template<typename _Head, typename... _Tail>
    struct tuple_element<0, tuple<_Head, _Tail...> >
    {
      typedef _Head type;
    };
  template<std::size_t __i, typename _Tp>
    struct tuple_element<__i, const _Tp>
    {
      typedef typename
      add_const<typename tuple_element<__i, _Tp>::type>::type type;
    };
  template<std::size_t __i, typename _Tp>
    struct tuple_element<__i, volatile _Tp>
    {
      typedef typename
      add_volatile<typename tuple_element<__i, _Tp>::type>::type type;
    };
  template<std::size_t __i, typename _Tp>
    struct tuple_element<__i, const volatile _Tp>
    {
      typedef typename
      add_cv<typename tuple_element<__i, _Tp>::type>::type type;
    };
  template<typename _Tp>
    struct tuple_size;
  template<typename _Tp>
    struct tuple_size<const _Tp>
    : public integral_constant<
             typename remove_cv<decltype(tuple_size<_Tp>::value)>::type,
             tuple_size<_Tp>::value> { };
  template<typename _Tp>
    struct tuple_size<volatile _Tp>
    : public integral_constant<
             typename remove_cv<decltype(tuple_size<_Tp>::value)>::type,
             tuple_size<_Tp>::value> { };
  template<typename _Tp>
    struct tuple_size<const volatile _Tp>
    : public integral_constant<
             typename remove_cv<decltype(tuple_size<_Tp>::value)>::type,
             tuple_size<_Tp>::value> { };
  template<typename... _Elements>
    struct tuple_size<tuple<_Elements...>>
    : public integral_constant<std::size_t, sizeof...(_Elements)> { };
  template<std::size_t __i, typename _Head, typename... _Tail>
    constexpr typename __add_ref<_Head>::type
    __get_helper(_Tuple_impl<__i, _Head, _Tail...>& __t) noexcept
    { return _Tuple_impl<__i, _Head, _Tail...>::_M_head(__t); }
  template<std::size_t __i, typename _Head, typename... _Tail>
    constexpr typename __add_c_ref<_Head>::type
    __get_helper(const _Tuple_impl<__i, _Head, _Tail...>& __t) noexcept
    { return _Tuple_impl<__i, _Head, _Tail...>::_M_head(__t); }
  template<std::size_t __i, typename... _Elements>
    constexpr typename __add_ref<
                      typename tuple_element<__i, tuple<_Elements...>>::type
                    >::type
    get(tuple<_Elements...>& __t) noexcept
    { return __get_helper<__i>(__t); }
  template<std::size_t __i, typename... _Elements>
    constexpr typename __add_c_ref<
                      typename tuple_element<__i, tuple<_Elements...>>::type
                    >::type
    get(const tuple<_Elements...>& __t) noexcept
    { return __get_helper<__i>(__t); }
  template<std::size_t __i, typename... _Elements>
    constexpr typename __add_r_ref<
                      typename tuple_element<__i, tuple<_Elements...>>::type
                    >::type
    get(tuple<_Elements...>&& __t) noexcept
    { return std::forward<typename tuple_element<__i,
 tuple<_Elements...>>::type&&>(get<__i>(__t)); }
  template<std::size_t __check_equal_size, std::size_t __i, std::size_t __j,
    typename _Tp, typename _Up>
    struct __tuple_compare;
  template<std::size_t __i, std::size_t __j, typename _Tp, typename _Up>
    struct __tuple_compare<0, __i, __j, _Tp, _Up>
    {
      static bool
      __eq(const _Tp& __t, const _Up& __u)
      {
 return (get<__i>(__t) == get<__i>(__u) &&
  __tuple_compare<0, __i + 1, __j, _Tp, _Up>::__eq(__t, __u));
      }
      static bool
      __less(const _Tp& __t, const _Up& __u)
      {
 return ((get<__i>(__t) < get<__i>(__u))
  || !(get<__i>(__u) < get<__i>(__t)) &&
  __tuple_compare<0, __i + 1, __j, _Tp, _Up>::__less(__t, __u));
      }
    };
  template<std::size_t __i, typename _Tp, typename _Up>
    struct __tuple_compare<0, __i, __i, _Tp, _Up>
    {
      static bool
      __eq(const _Tp&, const _Up&) { return true; }
      static bool
      __less(const _Tp&, const _Up&) { return false; }
    };
  template<typename... _TElements, typename... _UElements>
    bool
    operator==(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    {
      typedef tuple<_TElements...> _Tp;
      typedef tuple<_UElements...> _Up;
      return (__tuple_compare<tuple_size<_Tp>::value - tuple_size<_Up>::value,
       0, tuple_size<_Tp>::value, _Tp, _Up>::__eq(__t, __u));
    }
  template<typename... _TElements, typename... _UElements>
    bool
    operator<(const tuple<_TElements...>& __t,
       const tuple<_UElements...>& __u)
    {
      typedef tuple<_TElements...> _Tp;
      typedef tuple<_UElements...> _Up;
      return (__tuple_compare<tuple_size<_Tp>::value - tuple_size<_Up>::value,
       0, tuple_size<_Tp>::value, _Tp, _Up>::__less(__t, __u));
    }
  template<typename... _TElements, typename... _UElements>
    inline bool
    operator!=(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    { return !(__t == __u); }
  template<typename... _TElements, typename... _UElements>
    inline bool
    operator>(const tuple<_TElements...>& __t,
       const tuple<_UElements...>& __u)
    { return __u < __t; }
  template<typename... _TElements, typename... _UElements>
    inline bool
    operator<=(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    { return !(__u < __t); }
  template<typename... _TElements, typename... _UElements>
    inline bool
    operator>=(const tuple<_TElements...>& __t,
        const tuple<_UElements...>& __u)
    { return !(__t < __u); }
  template<typename... _Elements>
    constexpr tuple<typename __decay_and_strip<_Elements>::__type...>
    make_tuple(_Elements&&... __args)
    {
      typedef tuple<typename __decay_and_strip<_Elements>::__type...>
 __result_type;
      return __result_type(std::forward<_Elements>(__args)...);
    }
  template<typename... _Elements>
    constexpr tuple<_Elements&&...>
    forward_as_tuple(_Elements&&... __args) noexcept
    { return tuple<_Elements&&...>(std::forward<_Elements>(__args)...); }
  template<typename, std::size_t> struct array;
  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr _Tp& get(array<_Tp, _Nm>&) noexcept;
  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr _Tp&& get(array<_Tp, _Nm>&&) noexcept;
  template<std::size_t _Int, typename _Tp, std::size_t _Nm>
    constexpr const _Tp& get(const array<_Tp, _Nm>&) noexcept;
  template<typename>
    struct __is_tuple_like_impl : false_type
    { };
  template<typename... _Tps>
    struct __is_tuple_like_impl<tuple<_Tps...>> : true_type
    { };
  template<typename _T1, typename _T2>
    struct __is_tuple_like_impl<pair<_T1, _T2>> : true_type
    { };
  template<typename _Tp, std::size_t _Nm>
    struct __is_tuple_like_impl<array<_Tp, _Nm>> : true_type
    { };
  template<typename _Tp>
    struct __is_tuple_like
    : public __is_tuple_like_impl<typename std::remove_cv
            <typename std::remove_reference<_Tp>::type>::type>::type
    { };
  template<std::size_t... _Indexes>
    struct _Index_tuple
    {
      typedef _Index_tuple<_Indexes..., sizeof...(_Indexes)> __next;
    };
  template<std::size_t _Num>
    struct _Build_index_tuple
    {
      typedef typename _Build_index_tuple<_Num - 1>::__type::__next __type;
    };
  template<>
    struct _Build_index_tuple<0>
    {
      typedef _Index_tuple<> __type;
    };
  template<std::size_t, typename, typename, std::size_t>
    struct __make_tuple_impl;
  template<std::size_t _Idx, typename _Tuple, typename... _Tp,
           std::size_t _Nm>
    struct __make_tuple_impl<_Idx, tuple<_Tp...>, _Tuple, _Nm>
    {
      typedef typename __make_tuple_impl<_Idx + 1, tuple<_Tp...,
 typename std::tuple_element<_Idx, _Tuple>::type>, _Tuple, _Nm>::__type
      __type;
    };
  template<std::size_t _Nm, typename _Tuple, typename... _Tp>
    struct __make_tuple_impl<_Nm, tuple<_Tp...>, _Tuple, _Nm>
    {
      typedef tuple<_Tp...> __type;
    };
  template<typename _Tuple>
    struct __do_make_tuple
    : public __make_tuple_impl<0, tuple<>, _Tuple,
                               std::tuple_size<_Tuple>::value>
    { };
  template<typename _Tuple>
    struct __make_tuple
    : public __do_make_tuple<typename std::remove_cv
            <typename std::remove_reference<_Tuple>::type>::type>
    { };
  template<typename...>
    struct __combine_tuples;
  template<>
    struct __combine_tuples<>
    {
      typedef tuple<> __type;
    };
  template<typename... _Ts>
    struct __combine_tuples<tuple<_Ts...>>
    {
      typedef tuple<_Ts...> __type;
    };
  template<typename... _T1s, typename... _T2s, typename... _Rem>
    struct __combine_tuples<tuple<_T1s...>, tuple<_T2s...>, _Rem...>
    {
      typedef typename __combine_tuples<tuple<_T1s..., _T2s...>,
     _Rem...>::__type __type;
    };
  template<typename... _Tpls>
    struct __tuple_cat_result
    {
      typedef typename __combine_tuples
        <typename __make_tuple<_Tpls>::__type...>::__type __type;
    };
  template<typename...>
    struct __make_1st_indices;
  template<>
    struct __make_1st_indices<>
    {
      typedef std::_Index_tuple<> __type;
    };
  template<typename _Tp, typename... _Tpls>
    struct __make_1st_indices<_Tp, _Tpls...>
    {
      typedef typename std::_Build_index_tuple<std::tuple_size<
 typename std::remove_reference<_Tp>::type>::value>::__type __type;
    };
  template<typename _Ret, typename _Indices, typename... _Tpls>
    struct __tuple_concater;
  template<typename _Ret, std::size_t... _Is, typename _Tp, typename... _Tpls>
    struct __tuple_concater<_Ret, std::_Index_tuple<_Is...>, _Tp, _Tpls...>
    {
      template<typename... _Us>
        static constexpr _Ret
        _S_do(_Tp&& __tp, _Tpls&&... __tps, _Us&&... __us)
        {
   typedef typename __make_1st_indices<_Tpls...>::__type __idx;
   typedef __tuple_concater<_Ret, __idx, _Tpls...> __next;
   return __next::_S_do(std::forward<_Tpls>(__tps)...,
          std::forward<_Us>(__us)...,
          std::get<_Is>(std::forward<_Tp>(__tp))...);
 }
    };
  template<typename _Ret>
    struct __tuple_concater<_Ret, std::_Index_tuple<>>
    {
      template<typename... _Us>
 static constexpr _Ret
 _S_do(_Us&&... __us)
        {
   return _Ret(std::forward<_Us>(__us)...);
 }
    };
  template<typename... _Tpls, typename = typename
           enable_if<__and_<__is_tuple_like<_Tpls>...>::value>::type>
    constexpr auto
    tuple_cat(_Tpls&&... __tpls)
    -> typename __tuple_cat_result<_Tpls...>::__type
    {
      typedef typename __tuple_cat_result<_Tpls...>::__type __ret;
      typedef typename __make_1st_indices<_Tpls...>::__type __idx;
      typedef __tuple_concater<__ret, __idx, _Tpls...> __concater;
      return __concater::_S_do(std::forward<_Tpls>(__tpls)...);
    }
  template<typename... _Elements>
    inline tuple<_Elements&...>
    tie(_Elements&... __args) noexcept
    { return tuple<_Elements&...>(__args...); }
  template<typename... _Elements>
    inline void
    swap(tuple<_Elements...>& __x, tuple<_Elements...>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }
  struct _Swallow_assign
  {
    template<class _Tp>
      const _Swallow_assign&
      operator=(const _Tp&) const
      { return *this; }
  };
  const _Swallow_assign ignore{};
  template<typename... _Types, typename _Alloc>
    struct uses_allocator<tuple<_Types...>, _Alloc> : true_type { };
  template<class _T1, class _T2>
    template<typename... _Args1, typename... _Args2>
      inline
      pair<_T1, _T2>::
      pair(piecewise_construct_t,
    tuple<_Args1...> __first, tuple<_Args2...> __second)
      : pair(__first, __second,
      typename _Build_index_tuple<sizeof...(_Args1)>::__type(),
      typename _Build_index_tuple<sizeof...(_Args2)>::__type())
      { }
  template<class _T1, class _T2>
    template<typename... _Args1, std::size_t... _Indexes1,
             typename... _Args2, std::size_t... _Indexes2>
      inline
      pair<_T1, _T2>::
      pair(tuple<_Args1...>& __tuple1, tuple<_Args2...>& __tuple2,
    _Index_tuple<_Indexes1...>, _Index_tuple<_Indexes2...>)
      : first(std::forward<_Args1>(std::get<_Indexes1>(__tuple1))...),
        second(std::forward<_Args2>(std::get<_Indexes2>(__tuple2))...)
      { }

}
       
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Result, typename _Arg>
    struct __hash_base
    {
      typedef _Result result_type;
      typedef _Arg argument_type;
    };
  template<typename _Tp>
    struct hash : public __hash_base<size_t, _Tp>
    {
      static_assert(sizeof(_Tp) < 0,
      "std::hash is not specialized for this type");
      size_t operator()(const _Tp&) const noexcept;
    };
  template<typename _Tp>
    struct hash<_Tp*> : public __hash_base<size_t, _Tp*>
    {
      size_t
      operator()(_Tp* __p) const noexcept
      { return reinterpret_cast<size_t>(__p); }
    };
  template<> struct hash<bool> : public __hash_base<size_t, bool> { size_t operator()(bool __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<char> : public __hash_base<size_t, char> { size_t operator()(char __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<signed char> : public __hash_base<size_t, signed char> { size_t operator()(signed char __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<unsigned char> : public __hash_base<size_t, unsigned char> { size_t operator()(unsigned char __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<wchar_t> : public __hash_base<size_t, wchar_t> { size_t operator()(wchar_t __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<char16_t> : public __hash_base<size_t, char16_t> { size_t operator()(char16_t __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<char32_t> : public __hash_base<size_t, char32_t> { size_t operator()(char32_t __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<short> : public __hash_base<size_t, short> { size_t operator()(short __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<int> : public __hash_base<size_t, int> { size_t operator()(int __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<long> : public __hash_base<size_t, long> { size_t operator()(long __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<long long> : public __hash_base<size_t, long long> { size_t operator()(long long __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<unsigned short> : public __hash_base<size_t, unsigned short> { size_t operator()(unsigned short __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<unsigned int> : public __hash_base<size_t, unsigned int> { size_t operator()(unsigned int __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<unsigned long> : public __hash_base<size_t, unsigned long> { size_t operator()(unsigned long __val) const noexcept { return static_cast<size_t>(__val); } };
  template<> struct hash<unsigned long long> : public __hash_base<size_t, unsigned long long> { size_t operator()(unsigned long long __val) const noexcept { return static_cast<size_t>(__val); } };
  struct _Hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(0xc70f6907UL))
    { return _Hash_bytes(__ptr, __clength, __seed); }
    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }
    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };
  struct _Fnv_hash_impl
  {
    static size_t
    hash(const void* __ptr, size_t __clength,
  size_t __seed = static_cast<size_t>(2166136261UL))
    { return _Fnv_hash_bytes(__ptr, __clength, __seed); }
    template<typename _Tp>
      static size_t
      hash(const _Tp& __val)
      { return hash(&__val, sizeof(__val)); }
    template<typename _Tp>
      static size_t
      __hash_combine(const _Tp& __val, size_t __hash)
      { return hash(&__val, sizeof(__val), __hash); }
  };
  template<>
    struct hash<float> : public __hash_base<size_t, float>
    {
      size_t
      operator()(float __val) const noexcept
      {
 return __val != 0.0f ? std::_Hash_impl::hash(__val) : 0;
      }
    };
  template<>
    struct hash<double> : public __hash_base<size_t, double>
    {
      size_t
      operator()(double __val) const noexcept
      {
 return __val != 0.0 ? std::_Hash_impl::hash(__val) : 0;
      }
    };
  template<>
    struct hash<long double>
    : public __hash_base<size_t, long double>
    {
      __attribute__ ((__pure__)) size_t
      operator()(long double __val) const noexcept;
    };

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _MemberPointer>
    class _Mem_fn;
  template<typename _Tp, typename _Class>
    _Mem_fn<_Tp _Class::*>
    mem_fn(_Tp _Class::*);
template<typename _Tp> class __has_result_type_helper : __sfinae_types { template<typename _Up> struct _Wrap_type { }; template<typename _Up> static __one __test(_Wrap_type<typename _Up::result_type>*); template<typename _Up> static __two __test(...); public: static constexpr bool value = sizeof(__test<_Tp>(0)) == 1; }; template<typename _Tp> struct __has_result_type : integral_constant<bool, __has_result_type_helper <typename remove_cv<_Tp>::type>::value> { };
  template<bool _Has_result_type, typename _Functor>
    struct _Maybe_get_result_type
    { };
  template<typename _Functor>
    struct _Maybe_get_result_type<true, _Functor>
    { typedef typename _Functor::result_type result_type; };
  template<typename _Functor>
    struct _Weak_result_type_impl
    : _Maybe_get_result_type<__has_result_type<_Functor>::value, _Functor>
    { };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(_ArgTypes...)>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(_ArgTypes......)>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(_ArgTypes...) const>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(_ArgTypes......) const>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(_ArgTypes...) volatile>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(_ArgTypes......) volatile>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(_ArgTypes...) const volatile>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(_ArgTypes......) const volatile>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(&)(_ArgTypes...)>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(&)(_ArgTypes......)>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(*)(_ArgTypes...)>
    { typedef _Res result_type; };
  template<typename _Res, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res(*)(_ArgTypes......)>
    { typedef _Res result_type; };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res (_Class::*)(_ArgTypes...)>
    { typedef _Res result_type; };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res (_Class::*)(_ArgTypes......)>
    { typedef _Res result_type; };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res (_Class::*)(_ArgTypes...) const>
    { typedef _Res result_type; };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res (_Class::*)(_ArgTypes......) const>
    { typedef _Res result_type; };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res (_Class::*)(_ArgTypes...) volatile>
    { typedef _Res result_type; };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res (_Class::*)(_ArgTypes......) volatile>
    { typedef _Res result_type; };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res (_Class::*)(_ArgTypes...)
      const volatile>
    { typedef _Res result_type; };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    struct _Weak_result_type_impl<_Res (_Class::*)(_ArgTypes......)
      const volatile>
    { typedef _Res result_type; };
  template<typename _Functor>
    struct _Weak_result_type
    : _Weak_result_type_impl<typename remove_cv<_Functor>::type>
    { };
  template<typename _Tp>
    struct _Derives_from_unary_function : __sfinae_types
    {
    private:
      template<typename _T1, typename _Res>
 static __one __test(const volatile unary_function<_T1, _Res>*);
      static __two __test(...);
    public:
      static const bool value = sizeof(__test((_Tp*)0)) == 1;
    };
  template<typename _Tp>
    struct _Derives_from_binary_function : __sfinae_types
    {
    private:
      template<typename _T1, typename _T2, typename _Res>
 static __one __test(const volatile binary_function<_T1, _T2, _Res>*);
      static __two __test(...);
    public:
      static const bool value = sizeof(__test((_Tp*)0)) == 1;
    };
  template<typename _Functor, typename... _Args>
    inline
    typename enable_if<
      (!is_member_pointer<_Functor>::value
       && !is_function<_Functor>::value
       && !is_function<typename remove_pointer<_Functor>::type>::value),
      typename result_of<_Functor(_Args&&...)>::type
    >::type
    __invoke(_Functor& __f, _Args&&... __args)
    {
      return __f(std::forward<_Args>(__args)...);
    }
  template<typename _Functor, typename... _Args>
    inline
    typename enable_if<
             (is_member_pointer<_Functor>::value
              && !is_function<_Functor>::value
              && !is_function<typename remove_pointer<_Functor>::type>::value),
             typename result_of<_Functor(_Args&&...)>::type
           >::type
    __invoke(_Functor& __f, _Args&&... __args)
    {
      return mem_fn(__f)(std::forward<_Args>(__args)...);
    }
  template<typename _Functor, typename... _Args>
    inline
    typename enable_if<
      (is_pointer<_Functor>::value
       && is_function<typename remove_pointer<_Functor>::type>::value),
      typename result_of<_Functor(_Args&&...)>::type
    >::type
    __invoke(_Functor __f, _Args&&... __args)
    {
      return __f(std::forward<_Args>(__args)...);
    }
  template<bool _Unary, bool _Binary, typename _Tp>
    struct _Reference_wrapper_base_impl;
  template<typename _Tp>
    struct _Reference_wrapper_base_impl<false, false, _Tp>
    : _Weak_result_type<_Tp>
    { };
  template<typename _Tp>
    struct _Reference_wrapper_base_impl<true, false, _Tp>
    : _Weak_result_type<_Tp>
    {
      typedef typename _Tp::argument_type argument_type;
    };
  template<typename _Tp>
    struct _Reference_wrapper_base_impl<false, true, _Tp>
    : _Weak_result_type<_Tp>
    {
      typedef typename _Tp::first_argument_type first_argument_type;
      typedef typename _Tp::second_argument_type second_argument_type;
    };
   template<typename _Tp>
    struct _Reference_wrapper_base_impl<true, true, _Tp>
    : _Weak_result_type<_Tp>
    {
      typedef typename _Tp::argument_type argument_type;
      typedef typename _Tp::first_argument_type first_argument_type;
      typedef typename _Tp::second_argument_type second_argument_type;
    };
  template<typename _Tp> class __has_argument_type_helper : __sfinae_types { template<typename _Up> struct _Wrap_type { }; template<typename _Up> static __one __test(_Wrap_type<typename _Up::argument_type>*); template<typename _Up> static __two __test(...); public: static constexpr bool value = sizeof(__test<_Tp>(0)) == 1; }; template<typename _Tp> struct __has_argument_type : integral_constant<bool, __has_argument_type_helper <typename remove_cv<_Tp>::type>::value> { };
  template<typename _Tp> class __has_first_argument_type_helper : __sfinae_types { template<typename _Up> struct _Wrap_type { }; template<typename _Up> static __one __test(_Wrap_type<typename _Up::first_argument_type>*); template<typename _Up> static __two __test(...); public: static constexpr bool value = sizeof(__test<_Tp>(0)) == 1; }; template<typename _Tp> struct __has_first_argument_type : integral_constant<bool, __has_first_argument_type_helper <typename remove_cv<_Tp>::type>::value> { };
  template<typename _Tp> class __has_second_argument_type_helper : __sfinae_types { template<typename _Up> struct _Wrap_type { }; template<typename _Up> static __one __test(_Wrap_type<typename _Up::second_argument_type>*); template<typename _Up> static __two __test(...); public: static constexpr bool value = sizeof(__test<_Tp>(0)) == 1; }; template<typename _Tp> struct __has_second_argument_type : integral_constant<bool, __has_second_argument_type_helper <typename remove_cv<_Tp>::type>::value> { };
  template<typename _Tp>
    struct _Reference_wrapper_base
    : _Reference_wrapper_base_impl<
      __has_argument_type<_Tp>::value,
      __has_first_argument_type<_Tp>::value
      && __has_second_argument_type<_Tp>::value,
      _Tp>
    { };
  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res(_T1)>
    : unary_function<_T1, _Res>
    { };
  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res(_T1) const>
    : unary_function<_T1, _Res>
    { };
  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res(_T1) volatile>
    : unary_function<_T1, _Res>
    { };
  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res(_T1) const volatile>
    : unary_function<_T1, _Res>
    { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res(_T1, _T2)>
    : binary_function<_T1, _T2, _Res>
    { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res(_T1, _T2) const>
    : binary_function<_T1, _T2, _Res>
    { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res(_T1, _T2) volatile>
    : binary_function<_T1, _T2, _Res>
    { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res(_T1, _T2) const volatile>
    : binary_function<_T1, _T2, _Res>
    { };
  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res(*)(_T1)>
    : unary_function<_T1, _Res>
    { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res(*)(_T1, _T2)>
    : binary_function<_T1, _T2, _Res>
    { };
  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res (_T1::*)()>
    : unary_function<_T1*, _Res>
    { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res (_T1::*)(_T2)>
    : binary_function<_T1*, _T2, _Res>
    { };
  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res (_T1::*)() const>
    : unary_function<const _T1*, _Res>
    { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res (_T1::*)(_T2) const>
    : binary_function<const _T1*, _T2, _Res>
    { };
  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res (_T1::*)() volatile>
    : unary_function<volatile _T1*, _Res>
    { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res (_T1::*)(_T2) volatile>
    : binary_function<volatile _T1*, _T2, _Res>
    { };
  template<typename _Res, typename _T1>
    struct _Reference_wrapper_base<_Res (_T1::*)() const volatile>
    : unary_function<const volatile _T1*, _Res>
    { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Reference_wrapper_base<_Res (_T1::*)(_T2) const volatile>
    : binary_function<const volatile _T1*, _T2, _Res>
    { };
  template<typename _Tp>
    class reference_wrapper
    : public _Reference_wrapper_base<typename remove_cv<_Tp>::type>
    {
      _Tp* _M_data;
    public:
      typedef _Tp type;
      reference_wrapper(_Tp& __indata) noexcept
      : _M_data(std::__addressof(__indata))
      { }
      reference_wrapper(_Tp&&) = delete;
      reference_wrapper(const reference_wrapper<_Tp>& __inref) noexcept
      : _M_data(__inref._M_data)
      { }
      reference_wrapper&
      operator=(const reference_wrapper<_Tp>& __inref) noexcept
      {
 _M_data = __inref._M_data;
 return *this;
      }
      operator _Tp&() const noexcept
      { return this->get(); }
      _Tp&
      get() const noexcept
      { return *_M_data; }
      template<typename... _Args>
 typename result_of<_Tp&(_Args&&...)>::type
 operator()(_Args&&... __args) const
 {
   return __invoke(get(), std::forward<_Args>(__args)...);
 }
    };
  template<typename _Tp>
    inline reference_wrapper<_Tp>
    ref(_Tp& __t) noexcept
    { return reference_wrapper<_Tp>(__t); }
  template<typename _Tp>
    inline reference_wrapper<const _Tp>
    cref(const _Tp& __t) noexcept
    { return reference_wrapper<const _Tp>(__t); }
  template<typename _Tp>
    void ref(const _Tp&&) = delete;
  template<typename _Tp>
    void cref(const _Tp&&) = delete;
  template<typename _Tp>
    inline reference_wrapper<_Tp>
    ref(reference_wrapper<_Tp> __t) noexcept
    { return ref(__t.get()); }
  template<typename _Tp>
    inline reference_wrapper<const _Tp>
    cref(reference_wrapper<_Tp> __t) noexcept
    { return cref(__t.get()); }
  template<typename _Res, typename... _ArgTypes>
    struct _Maybe_unary_or_binary_function { };
  template<typename _Res, typename _T1>
    struct _Maybe_unary_or_binary_function<_Res, _T1>
    : std::unary_function<_T1, _Res> { };
  template<typename _Res, typename _T1, typename _T2>
    struct _Maybe_unary_or_binary_function<_Res, _T1, _T2>
    : std::binary_function<_T1, _T2, _Res> { };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    class _Mem_fn<_Res (_Class::*)(_ArgTypes...)>
    : public _Maybe_unary_or_binary_function<_Res, _Class*, _ArgTypes...>
    {
      typedef _Res (_Class::*_Functor)(_ArgTypes...);
      template<typename _Tp>
 _Res
 _M_call(_Tp& __object, const volatile _Class *,
  _ArgTypes... __args) const
 { return (__object.*__pmf)(std::forward<_ArgTypes>(__args)...); }
      template<typename _Tp>
 _Res
 _M_call(_Tp& __ptr, const volatile void *, _ArgTypes... __args) const
 { return ((*__ptr).*__pmf)(std::forward<_ArgTypes>(__args)...); }
    public:
      typedef _Res result_type;
      explicit _Mem_fn(_Functor __pmf) : __pmf(__pmf) { }
      _Res
      operator()(_Class& __object, _ArgTypes... __args) const
      { return (__object.*__pmf)(std::forward<_ArgTypes>(__args)...); }
      _Res
      operator()(_Class* __object, _ArgTypes... __args) const
      { return (__object->*__pmf)(std::forward<_ArgTypes>(__args)...); }
      template<typename _Tp>
 _Res
 operator()(_Tp& __object, _ArgTypes... __args) const
 {
   return _M_call(__object, &__object,
       std::forward<_ArgTypes>(__args)...);
 }
    private:
      _Functor __pmf;
    };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    class _Mem_fn<_Res (_Class::*)(_ArgTypes...) const>
    : public _Maybe_unary_or_binary_function<_Res, const _Class*,
          _ArgTypes...>
    {
      typedef _Res (_Class::*_Functor)(_ArgTypes...) const;
      template<typename _Tp>
 _Res
 _M_call(_Tp& __object, const volatile _Class *,
  _ArgTypes... __args) const
 { return (__object.*__pmf)(std::forward<_ArgTypes>(__args)...); }
      template<typename _Tp>
 _Res
 _M_call(_Tp& __ptr, const volatile void *, _ArgTypes... __args) const
 { return ((*__ptr).*__pmf)(std::forward<_ArgTypes>(__args)...); }
    public:
      typedef _Res result_type;
      explicit _Mem_fn(_Functor __pmf) : __pmf(__pmf) { }
      _Res
      operator()(const _Class& __object, _ArgTypes... __args) const
      { return (__object.*__pmf)(std::forward<_ArgTypes>(__args)...); }
      _Res
      operator()(const _Class* __object, _ArgTypes... __args) const
      { return (__object->*__pmf)(std::forward<_ArgTypes>(__args)...); }
      template<typename _Tp>
 _Res operator()(_Tp& __object, _ArgTypes... __args) const
 {
   return _M_call(__object, &__object,
       std::forward<_ArgTypes>(__args)...);
 }
    private:
      _Functor __pmf;
    };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    class _Mem_fn<_Res (_Class::*)(_ArgTypes...) volatile>
    : public _Maybe_unary_or_binary_function<_Res, volatile _Class*,
          _ArgTypes...>
    {
      typedef _Res (_Class::*_Functor)(_ArgTypes...) volatile;
      template<typename _Tp>
 _Res
 _M_call(_Tp& __object, const volatile _Class *,
  _ArgTypes... __args) const
 { return (__object.*__pmf)(std::forward<_ArgTypes>(__args)...); }
      template<typename _Tp>
 _Res
 _M_call(_Tp& __ptr, const volatile void *, _ArgTypes... __args) const
 { return ((*__ptr).*__pmf)(std::forward<_ArgTypes>(__args)...); }
    public:
      typedef _Res result_type;
      explicit _Mem_fn(_Functor __pmf) : __pmf(__pmf) { }
      _Res
      operator()(volatile _Class& __object, _ArgTypes... __args) const
      { return (__object.*__pmf)(std::forward<_ArgTypes>(__args)...); }
      _Res
      operator()(volatile _Class* __object, _ArgTypes... __args) const
      { return (__object->*__pmf)(std::forward<_ArgTypes>(__args)...); }
      template<typename _Tp>
 _Res
 operator()(_Tp& __object, _ArgTypes... __args) const
 {
   return _M_call(__object, &__object,
       std::forward<_ArgTypes>(__args)...);
 }
    private:
      _Functor __pmf;
    };
  template<typename _Res, typename _Class, typename... _ArgTypes>
    class _Mem_fn<_Res (_Class::*)(_ArgTypes...) const volatile>
    : public _Maybe_unary_or_binary_function<_Res, const volatile _Class*,
          _ArgTypes...>
    {
      typedef _Res (_Class::*_Functor)(_ArgTypes...) const volatile;
      template<typename _Tp>
 _Res
 _M_call(_Tp& __object, const volatile _Class *,
  _ArgTypes... __args) const
 { return (__object.*__pmf)(std::forward<_ArgTypes>(__args)...); }
      template<typename _Tp>
 _Res
 _M_call(_Tp& __ptr, const volatile void *, _ArgTypes... __args) const
 { return ((*__ptr).*__pmf)(std::forward<_ArgTypes>(__args)...); }
    public:
      typedef _Res result_type;
      explicit _Mem_fn(_Functor __pmf) : __pmf(__pmf) { }
      _Res
      operator()(const volatile _Class& __object, _ArgTypes... __args) const
      { return (__object.*__pmf)(std::forward<_ArgTypes>(__args)...); }
      _Res
      operator()(const volatile _Class* __object, _ArgTypes... __args) const
      { return (__object->*__pmf)(std::forward<_ArgTypes>(__args)...); }
      template<typename _Tp>
 _Res operator()(_Tp& __object, _ArgTypes... __args) const
 {
   return _M_call(__object, &__object,
       std::forward<_ArgTypes>(__args)...);
 }
    private:
      _Functor __pmf;
    };
  template<typename _Tp, bool>
    struct _Mem_fn_const_or_non
    {
      typedef const _Tp& type;
    };
  template<typename _Tp>
    struct _Mem_fn_const_or_non<_Tp, false>
    {
      typedef _Tp& type;
    };
  template<typename _Res, typename _Class>
    class _Mem_fn<_Res _Class::*>
    {
      template<typename _Tp>
 _Res&
 _M_call(_Tp& __object, _Class *) const
 { return __object.*__pm; }
      template<typename _Tp, typename _Up>
 _Res&
 _M_call(_Tp& __object, _Up * const *) const
 { return (*__object).*__pm; }
      template<typename _Tp, typename _Up>
 const _Res&
 _M_call(_Tp& __object, const _Up * const *) const
 { return (*__object).*__pm; }
      template<typename _Tp>
 const _Res&
 _M_call(_Tp& __object, const _Class *) const
 { return __object.*__pm; }
      template<typename _Tp>
 const _Res&
 _M_call(_Tp& __ptr, const volatile void*) const
 { return (*__ptr).*__pm; }
      template<typename _Tp> static _Tp& __get_ref();
      template<typename _Tp>
 static __sfinae_types::__one __check_const(_Tp&, _Class*);
      template<typename _Tp, typename _Up>
 static __sfinae_types::__one __check_const(_Tp&, _Up * const *);
      template<typename _Tp, typename _Up>
 static __sfinae_types::__two __check_const(_Tp&, const _Up * const *);
      template<typename _Tp>
 static __sfinae_types::__two __check_const(_Tp&, const _Class*);
      template<typename _Tp>
 static __sfinae_types::__two __check_const(_Tp&, const volatile void*);
    public:
      template<typename _Tp>
 struct _Result_type
 : _Mem_fn_const_or_non<_Res,
   (sizeof(__sfinae_types::__two)
    == sizeof(__check_const<_Tp>(__get_ref<_Tp>(), (_Tp*)0)))>
 { };
      template<typename _Signature>
 struct result;
      template<typename _CVMem, typename _Tp>
 struct result<_CVMem(_Tp)>
 : public _Result_type<_Tp> { };
      template<typename _CVMem, typename _Tp>
 struct result<_CVMem(_Tp&)>
 : public _Result_type<_Tp> { };
      explicit
      _Mem_fn(_Res _Class::*__pm) : __pm(__pm) { }
      _Res&
      operator()(_Class& __object) const
      { return __object.*__pm; }
      const _Res&
      operator()(const _Class& __object) const
      { return __object.*__pm; }
      _Res&
      operator()(_Class* __object) const
      { return __object->*__pm; }
      const _Res&
      operator()(const _Class* __object) const
      { return __object->*__pm; }
      template<typename _Tp>
 typename _Result_type<_Tp>::type
 operator()(_Tp& __unknown) const
 { return _M_call(__unknown, &__unknown); }
    private:
      _Res _Class::*__pm;
    };
  template<typename _Tp, typename _Class>
    inline _Mem_fn<_Tp _Class::*>
    mem_fn(_Tp _Class::* __pm)
    {
      return _Mem_fn<_Tp _Class::*>(__pm);
    }
  template<typename _Tp>
    struct is_bind_expression
    : public false_type { };
  template<typename _Tp>
    struct is_placeholder
    : public integral_constant<int, 0>
    { };
  template<int _Num> struct _Placeholder { };
 
  namespace placeholders
  {
 
    extern const _Placeholder<1> _1;
    extern const _Placeholder<2> _2;
    extern const _Placeholder<3> _3;
    extern const _Placeholder<4> _4;
    extern const _Placeholder<5> _5;
    extern const _Placeholder<6> _6;
    extern const _Placeholder<7> _7;
    extern const _Placeholder<8> _8;
    extern const _Placeholder<9> _9;
    extern const _Placeholder<10> _10;
    extern const _Placeholder<11> _11;
    extern const _Placeholder<12> _12;
    extern const _Placeholder<13> _13;
    extern const _Placeholder<14> _14;
    extern const _Placeholder<15> _15;
    extern const _Placeholder<16> _16;
    extern const _Placeholder<17> _17;
    extern const _Placeholder<18> _18;
    extern const _Placeholder<19> _19;
    extern const _Placeholder<20> _20;
    extern const _Placeholder<21> _21;
    extern const _Placeholder<22> _22;
    extern const _Placeholder<23> _23;
    extern const _Placeholder<24> _24;
    extern const _Placeholder<25> _25;
    extern const _Placeholder<26> _26;
    extern const _Placeholder<27> _27;
    extern const _Placeholder<28> _28;
    extern const _Placeholder<29> _29;
 
  }
 
  template<int _Num>
    struct is_placeholder<_Placeholder<_Num> >
    : public integral_constant<int, _Num>
    { };
  template<int _Num>
    struct is_placeholder<const _Placeholder<_Num> >
    : public integral_constant<int, _Num>
    { };
  struct _No_tuple_element;
  template<std::size_t __i, typename _Tuple, bool _IsSafe>
    struct _Safe_tuple_element_impl
    : tuple_element<__i, _Tuple> { };
  template<std::size_t __i, typename _Tuple>
    struct _Safe_tuple_element_impl<__i, _Tuple, false>
    {
      typedef _No_tuple_element type;
    };
 template<std::size_t __i, typename _Tuple>
   struct _Safe_tuple_element
   : _Safe_tuple_element_impl<__i, _Tuple,
         (__i < tuple_size<_Tuple>::value)>
   { };
  template<typename _Arg,
    bool _IsBindExp = is_bind_expression<_Arg>::value,
    bool _IsPlaceholder = (is_placeholder<_Arg>::value > 0)>
    class _Mu;
  template<typename _Tp>
    class _Mu<reference_wrapper<_Tp>, false, false>
    {
    public:
      typedef _Tp& result_type;
      template<typename _CVRef, typename _Tuple>
 result_type
 operator()(_CVRef& __arg, _Tuple&) const volatile
 { return __arg.get(); }
    };
  template<typename _Arg>
    class _Mu<_Arg, true, false>
    {
    public:
      template<typename _CVArg, typename... _Args>
 auto
 operator()(_CVArg& __arg,
     tuple<_Args...>& __tuple) const volatile
 -> decltype(__arg(declval<_Args>()...))
 {
   typedef typename _Build_index_tuple<sizeof...(_Args)>::__type
     _Indexes;
   return this->__call(__arg, __tuple, _Indexes());
 }
    private:
      template<typename _CVArg, typename... _Args, std::size_t... _Indexes>
 auto
 __call(_CVArg& __arg, tuple<_Args...>& __tuple,
        const _Index_tuple<_Indexes...>&) const volatile
 -> decltype(__arg(declval<_Args>()...))
 {
   return __arg(std::forward<_Args>(get<_Indexes>(__tuple))...);
 }
    };
  template<typename _Arg>
    class _Mu<_Arg, false, true>
    {
    public:
      template<typename _Signature> class result;
      template<typename _CVMu, typename _CVArg, typename _Tuple>
 class result<_CVMu(_CVArg, _Tuple)>
 {
   typedef typename _Safe_tuple_element<(is_placeholder<_Arg>::value
      - 1), _Tuple>::type
     __base_type;
 public:
   typedef typename add_rvalue_reference<__base_type>::type type;
 };
      template<typename _Tuple>
 typename result<_Mu(_Arg, _Tuple)>::type
 operator()(const volatile _Arg&, _Tuple& __tuple) const volatile
 {
   return std::forward<typename result<_Mu(_Arg, _Tuple)>::type>(
       ::std::get<(is_placeholder<_Arg>::value - 1)>(__tuple));
 }
    };
  template<typename _Arg>
    class _Mu<_Arg, false, false>
    {
    public:
      template<typename _Signature> struct result;
      template<typename _CVMu, typename _CVArg, typename _Tuple>
 struct result<_CVMu(_CVArg, _Tuple)>
 {
   typedef typename add_lvalue_reference<_CVArg>::type type;
 };
      template<typename _CVArg, typename _Tuple>
 _CVArg&&
 operator()(_CVArg&& __arg, _Tuple&) const volatile
 { return std::forward<_CVArg>(__arg); }
    };
  template<typename _Tp>
    struct _Maybe_wrap_member_pointer
    {
      typedef _Tp type;
      static const _Tp&
      __do_wrap(const _Tp& __x)
      { return __x; }
      static _Tp&&
      __do_wrap(_Tp&& __x)
      { return static_cast<_Tp&&>(__x); }
    };
  template<typename _Tp, typename _Class>
    struct _Maybe_wrap_member_pointer<_Tp _Class::*>
    {
      typedef _Mem_fn<_Tp _Class::*> type;
      static type
      __do_wrap(_Tp _Class::* __pm)
      { return type(__pm); }
    };
  template<>
    struct _Maybe_wrap_member_pointer<void>
    {
      typedef void type;
    };
  template<std::size_t _Ind, typename... _Tp>
    inline auto
    __volget(volatile tuple<_Tp...>& __tuple)
    -> typename tuple_element<_Ind, tuple<_Tp...>>::type volatile&
    { return std::get<_Ind>(const_cast<tuple<_Tp...>&>(__tuple)); }
  template<std::size_t _Ind, typename... _Tp>
    inline auto
    __volget(const volatile tuple<_Tp...>& __tuple)
    -> typename tuple_element<_Ind, tuple<_Tp...>>::type const volatile&
    { return std::get<_Ind>(const_cast<const tuple<_Tp...>&>(__tuple)); }
  template<typename _Signature>
    struct _Bind;
   template<typename _Functor, typename... _Bound_args>
    class _Bind<_Functor(_Bound_args...)>
    : public _Weak_result_type<_Functor>
    {
      typedef _Bind __self_type;
      typedef typename _Build_index_tuple<sizeof...(_Bound_args)>::__type
 _Bound_indexes;
      _Functor _M_f;
      tuple<_Bound_args...> _M_bound_args;
      template<typename _Result, typename... _Args, std::size_t... _Indexes>
 _Result
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>)
 {
   return _M_f(_Mu<_Bound_args>()
        (get<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Result, typename... _Args, std::size_t... _Indexes>
 _Result
 __call_c(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>) const
 {
   return _M_f(_Mu<_Bound_args>()
        (get<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Result, typename... _Args, std::size_t... _Indexes>
 _Result
 __call_v(tuple<_Args...>&& __args,
   _Index_tuple<_Indexes...>) volatile
 {
   return _M_f(_Mu<_Bound_args>()
        (__volget<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Result, typename... _Args, std::size_t... _Indexes>
 _Result
 __call_c_v(tuple<_Args...>&& __args,
     _Index_tuple<_Indexes...>) const volatile
 {
   return _M_f(_Mu<_Bound_args>()
        (__volget<_Indexes>(_M_bound_args), __args)...);
 }
     public:
      template<typename... _Args>
 explicit _Bind(const _Functor& __f, _Args&&... __args)
 : _M_f(__f), _M_bound_args(std::forward<_Args>(__args)...)
 { }
      template<typename... _Args>
 explicit _Bind(_Functor&& __f, _Args&&... __args)
 : _M_f(std::move(__f)), _M_bound_args(std::forward<_Args>(__args)...)
 { }
      _Bind(const _Bind&) = default;
      _Bind(_Bind&& __b)
      : _M_f(std::move(__b._M_f)), _M_bound_args(std::move(__b._M_bound_args))
      { }
      template<typename... _Args, typename _Result
 = decltype( std::declval<_Functor>()(
       _Mu<_Bound_args>()( std::declval<_Bound_args&>(),
      std::declval<tuple<_Args...>&>() )... ) )>
 _Result
 operator()(_Args&&... __args)
 {
   return this->__call<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }
      template<typename... _Args, typename _Result
 = decltype( std::declval<typename enable_if<(sizeof...(_Args) >= 0),
         typename add_const<_Functor>::type>::type>()(
       _Mu<_Bound_args>()( std::declval<const _Bound_args&>(),
      std::declval<tuple<_Args...>&>() )... ) )>
 _Result
 operator()(_Args&&... __args) const
 {
   return this->__call_c<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }
      template<typename... _Args, typename _Result
 = decltype( std::declval<typename enable_if<(sizeof...(_Args) >= 0),
                       typename add_volatile<_Functor>::type>::type>()(
       _Mu<_Bound_args>()( std::declval<volatile _Bound_args&>(),
      std::declval<tuple<_Args...>&>() )... ) )>
 _Result
 operator()(_Args&&... __args) volatile
 {
   return this->__call_v<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }
      template<typename... _Args, typename _Result
 = decltype( std::declval<typename enable_if<(sizeof...(_Args) >= 0),
                       typename add_cv<_Functor>::type>::type>()(
       _Mu<_Bound_args>()( std::declval<const volatile _Bound_args&>(),
      std::declval<tuple<_Args...>&>() )... ) )>
 _Result
 operator()(_Args&&... __args) const volatile
 {
   return this->__call_c_v<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }
    };
  template<typename _Result, typename _Signature>
    struct _Bind_result;
  template<typename _Result, typename _Functor, typename... _Bound_args>
    class _Bind_result<_Result, _Functor(_Bound_args...)>
    {
      typedef _Bind_result __self_type;
      typedef typename _Build_index_tuple<sizeof...(_Bound_args)>::__type
 _Bound_indexes;
      _Functor _M_f;
      tuple<_Bound_args...> _M_bound_args;
      template<typename _Res>
 struct __enable_if_void : enable_if<is_void<_Res>::value, int> { };
      template<typename _Res>
 struct __disable_if_void : enable_if<!is_void<_Res>::value, int> { };
      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 _Result
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>,
     typename __disable_if_void<_Res>::type = 0)
 {
   return _M_f(_Mu<_Bound_args>()
        (get<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 void
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>,
     typename __enable_if_void<_Res>::type = 0)
 {
   _M_f(_Mu<_Bound_args>()
        (get<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 _Result
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>,
     typename __disable_if_void<_Res>::type = 0) const
 {
   return _M_f(_Mu<_Bound_args>()
        (get<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 void
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>,
     typename __enable_if_void<_Res>::type = 0) const
 {
   _M_f(_Mu<_Bound_args>()
        (get<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 _Result
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>,
     typename __disable_if_void<_Res>::type = 0) volatile
 {
   return _M_f(_Mu<_Bound_args>()
        (__volget<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 void
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>,
     typename __enable_if_void<_Res>::type = 0) volatile
 {
   _M_f(_Mu<_Bound_args>()
        (__volget<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 _Result
 __call(tuple<_Args...>&& __args, _Index_tuple<_Indexes...>,
     typename __disable_if_void<_Res>::type = 0) const volatile
 {
   return _M_f(_Mu<_Bound_args>()
        (__volget<_Indexes>(_M_bound_args), __args)...);
 }
      template<typename _Res, typename... _Args, std::size_t... _Indexes>
 void
 __call(tuple<_Args...>&& __args,
        _Index_tuple<_Indexes...>,
     typename __enable_if_void<_Res>::type = 0) const volatile
 {
   _M_f(_Mu<_Bound_args>()
        (__volget<_Indexes>(_M_bound_args), __args)...);
 }
    public:
      typedef _Result result_type;
      template<typename... _Args>
 explicit _Bind_result(const _Functor& __f, _Args&&... __args)
 : _M_f(__f), _M_bound_args(std::forward<_Args>(__args)...)
 { }
      template<typename... _Args>
 explicit _Bind_result(_Functor&& __f, _Args&&... __args)
 : _M_f(std::move(__f)), _M_bound_args(std::forward<_Args>(__args)...)
 { }
      _Bind_result(const _Bind_result&) = default;
      _Bind_result(_Bind_result&& __b)
      : _M_f(std::move(__b._M_f)), _M_bound_args(std::move(__b._M_bound_args))
      { }
      template<typename... _Args>
 result_type
 operator()(_Args&&... __args)
 {
   return this->__call<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }
      template<typename... _Args>
 result_type
 operator()(_Args&&... __args) const
 {
   return this->__call<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }
      template<typename... _Args>
 result_type
 operator()(_Args&&... __args) volatile
 {
   return this->__call<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }
      template<typename... _Args>
 result_type
 operator()(_Args&&... __args) const volatile
 {
   return this->__call<_Result>(
       std::forward_as_tuple(std::forward<_Args>(__args)...),
       _Bound_indexes());
 }
    };
  template<typename _Signature>
    struct is_bind_expression<_Bind<_Signature> >
    : public true_type { };
  template<typename _Signature>
    struct is_bind_expression<const _Bind<_Signature> >
    : public true_type { };
  template<typename _Signature>
    struct is_bind_expression<volatile _Bind<_Signature> >
    : public true_type { };
  template<typename _Signature>
    struct is_bind_expression<const volatile _Bind<_Signature>>
    : public true_type { };
  template<typename _Result, typename _Signature>
    struct is_bind_expression<_Bind_result<_Result, _Signature>>
    : public true_type { };
  template<typename _Result, typename _Signature>
    struct is_bind_expression<const _Bind_result<_Result, _Signature>>
    : public true_type { };
  template<typename _Result, typename _Signature>
    struct is_bind_expression<volatile _Bind_result<_Result, _Signature>>
    : public true_type { };
  template<typename _Result, typename _Signature>
    struct is_bind_expression<const volatile _Bind_result<_Result, _Signature>>
    : public true_type { };
  template<typename _Tp>
    class __is_socketlike
    {
      typedef typename decay<_Tp>::type _Tp2;
    public:
      static const bool value =
 is_integral<_Tp2>::value || is_enum<_Tp2>::value;
    };
  template<bool _SocketLike, typename _Func, typename... _BoundArgs>
    struct _Bind_helper
    {
      typedef _Maybe_wrap_member_pointer<typename decay<_Func>::type>
 __maybe_type;
      typedef typename __maybe_type::type __func_type;
      typedef _Bind<__func_type(typename decay<_BoundArgs>::type...)> type;
    };
  template<typename _Func, typename... _BoundArgs>
    struct _Bind_helper<true, _Func, _BoundArgs...>
    { };
  template<typename _Func, typename... _BoundArgs>
    inline typename
    _Bind_helper<__is_socketlike<_Func>::value, _Func, _BoundArgs...>::type
    bind(_Func&& __f, _BoundArgs&&... __args)
    {
      typedef _Bind_helper<false, _Func, _BoundArgs...> __helper_type;
      typedef typename __helper_type::__maybe_type __maybe_type;
      typedef typename __helper_type::type __result_type;
      return __result_type(__maybe_type::__do_wrap(std::forward<_Func>(__f)),
      std::forward<_BoundArgs>(__args)...);
    }
  template<typename _Result, typename _Func, typename... _BoundArgs>
    struct _Bindres_helper
    {
      typedef _Maybe_wrap_member_pointer<typename decay<_Func>::type>
 __maybe_type;
      typedef typename __maybe_type::type __functor_type;
      typedef _Bind_result<_Result,
      __functor_type(typename decay<_BoundArgs>::type...)>
 type;
    };
  template<typename _Result, typename _Func, typename... _BoundArgs>
    inline
    typename _Bindres_helper<_Result, _Func, _BoundArgs...>::type
    bind(_Func&& __f, _BoundArgs&&... __args)
    {
      typedef _Bindres_helper<_Result, _Func, _BoundArgs...> __helper_type;
      typedef typename __helper_type::__maybe_type __maybe_type;
      typedef typename __helper_type::type __result_type;
      return __result_type(__maybe_type::__do_wrap(std::forward<_Func>(__f)),
      std::forward<_BoundArgs>(__args)...);
    }
  template<typename _Signature>
    struct _Bind_simple;
  template<typename _Callable, typename... _Args>
    struct _Bind_simple<_Callable(_Args...)>
    {
      typedef typename result_of<_Callable(_Args...)>::type result_type;
      template<typename... _Args2, typename = typename
               enable_if< sizeof...(_Args) == sizeof...(_Args2)>::type>
        explicit
        _Bind_simple(const _Callable& __callable, _Args2&&... __args)
        : _M_bound(__callable, std::forward<_Args2>(__args)...)
        { }
      template<typename... _Args2, typename = typename
               enable_if< sizeof...(_Args) == sizeof...(_Args2)>::type>
        explicit
        _Bind_simple(_Callable&& __callable, _Args2&&... __args)
        : _M_bound(std::move(__callable), std::forward<_Args2>(__args)...)
        { }
      _Bind_simple(const _Bind_simple&) = default;
      _Bind_simple(_Bind_simple&&) = default;
      result_type
      operator()()
      {
        typedef typename _Build_index_tuple<sizeof...(_Args)>::__type _Indices;
        return _M_invoke(_Indices());
      }
    private:
      template<std::size_t... _Indices>
        typename result_of<_Callable(_Args...)>::type
        _M_invoke(_Index_tuple<_Indices...>)
        {
          return std::forward<_Callable>(std::get<0>(_M_bound))(
              std::forward<_Args>(std::get<_Indices+1>(_M_bound))...);
        }
      std::tuple<_Callable, _Args...> _M_bound;
    };
  template<typename _Func, typename... _BoundArgs>
    struct _Bind_simple_helper
    {
      typedef _Maybe_wrap_member_pointer<typename decay<_Func>::type>
        __maybe_type;
      typedef typename __maybe_type::type __func_type;
      typedef _Bind_simple<__func_type(typename decay<_BoundArgs>::type...)>
        __type;
    };
  template<typename _Callable, typename... _Args>
    typename _Bind_simple_helper<_Callable, _Args...>::__type
    __bind_simple(_Callable&& __callable, _Args&&... __args)
    {
      typedef _Bind_simple_helper<_Callable, _Args...> __helper_type;
      typedef typename __helper_type::__maybe_type __maybe_type;
      typedef typename __helper_type::__type __result_type;
      return __result_type(
          __maybe_type::__do_wrap( std::forward<_Callable>(__callable)),
          std::forward<_Args>(__args)...);
    }
  class bad_function_call : public std::exception
  {
  public:
    virtual ~bad_function_call() noexcept;
  };
  template<typename _Tp>
    struct __is_location_invariant
    : integral_constant<bool, (is_pointer<_Tp>::value
          || is_member_pointer<_Tp>::value)>
    { };
  class _Undefined_class;
  union _Nocopy_types
  {
    void* _M_object;
    const void* _M_const_object;
    void (*_M_function_pointer)();
    void (_Undefined_class::*_M_member_pointer)();
  };
  union _Any_data
  {
    void* _M_access() { return &_M_pod_data[0]; }
    const void* _M_access() const { return &_M_pod_data[0]; }
    template<typename _Tp>
      _Tp&
      _M_access()
      { return *static_cast<_Tp*>(_M_access()); }
    template<typename _Tp>
      const _Tp&
      _M_access() const
      { return *static_cast<const _Tp*>(_M_access()); }
    _Nocopy_types _M_unused;
    char _M_pod_data[sizeof(_Nocopy_types)];
  };
  enum _Manager_operation
  {
    __get_type_info,
    __get_functor_ptr,
    __clone_functor,
    __destroy_functor
  };
  template<typename _Tp>
    struct _Simple_type_wrapper
    {
      _Simple_type_wrapper(_Tp __value) : __value(__value) { }
      _Tp __value;
    };
  template<typename _Tp>
    struct __is_location_invariant<_Simple_type_wrapper<_Tp> >
    : __is_location_invariant<_Tp>
    { };
  template<typename _Functor>
    inline _Functor&
    __callable_functor(_Functor& __f)
    { return __f; }
  template<typename _Member, typename _Class>
    inline _Mem_fn<_Member _Class::*>
    __callable_functor(_Member _Class::* &__p)
    { return mem_fn(__p); }
  template<typename _Member, typename _Class>
    inline _Mem_fn<_Member _Class::*>
    __callable_functor(_Member _Class::* const &__p)
    { return mem_fn(__p); }
  template<typename _Signature>
    class function;
  class _Function_base
  {
  public:
    static const std::size_t _M_max_size = sizeof(_Nocopy_types);
    static const std::size_t _M_max_align = __alignof__(_Nocopy_types);
    template<typename _Functor>
      class _Base_manager
      {
      protected:
 static const bool __stored_locally =
 (__is_location_invariant<_Functor>::value
  && sizeof(_Functor) <= _M_max_size
  && __alignof__(_Functor) <= _M_max_align
  && (_M_max_align % __alignof__(_Functor) == 0));
 typedef integral_constant<bool, __stored_locally> _Local_storage;
 static _Functor*
 _M_get_pointer(const _Any_data& __source)
 {
   const _Functor* __ptr =
     __stored_locally? std::__addressof(__source._M_access<_Functor>())
                                 : __source._M_access<_Functor*>();
   return const_cast<_Functor*>(__ptr);
 }
 static void
 _M_clone(_Any_data& __dest, const _Any_data& __source, true_type)
 {
   new (__dest._M_access()) _Functor(__source._M_access<_Functor>());
 }
 static void
 _M_clone(_Any_data& __dest, const _Any_data& __source, false_type)
 {
   __dest._M_access<_Functor*>() =
     new _Functor(*__source._M_access<_Functor*>());
 }
 static void
 _M_destroy(_Any_data& __victim, true_type)
 {
   __victim._M_access<_Functor>().~_Functor();
 }
 static void
 _M_destroy(_Any_data& __victim, false_type)
 {
   delete __victim._M_access<_Functor*>();
 }
      public:
 static bool
 _M_manager(_Any_data& __dest, const _Any_data& __source,
     _Manager_operation __op)
 {
   switch (__op)
     {
     case __get_type_info:
       __dest._M_access<const type_info*>() = &typeid(_Functor);
       break;
     case __get_functor_ptr:
       __dest._M_access<_Functor*>() = _M_get_pointer(__source);
       break;
     case __clone_functor:
       _M_clone(__dest, __source, _Local_storage());
       break;
     case __destroy_functor:
       _M_destroy(__dest, _Local_storage());
       break;
     }
   return false;
 }
 static void
 _M_init_functor(_Any_data& __functor, _Functor&& __f)
 { _M_init_functor(__functor, std::move(__f), _Local_storage()); }
 template<typename _Signature>
   static bool
   _M_not_empty_function(const function<_Signature>& __f)
   { return static_cast<bool>(__f); }
 template<typename _Tp>
   static bool
   _M_not_empty_function(const _Tp*& __fp)
   { return __fp; }
 template<typename _Class, typename _Tp>
   static bool
   _M_not_empty_function(_Tp _Class::* const& __mp)
   { return __mp; }
 template<typename _Tp>
   static bool
   _M_not_empty_function(const _Tp&)
   { return true; }
      private:
 static void
 _M_init_functor(_Any_data& __functor, _Functor&& __f, true_type)
 { new (__functor._M_access()) _Functor(std::move(__f)); }
 static void
 _M_init_functor(_Any_data& __functor, _Functor&& __f, false_type)
 { __functor._M_access<_Functor*>() = new _Functor(std::move(__f)); }
      };
    template<typename _Functor>
      class _Ref_manager : public _Base_manager<_Functor*>
      {
 typedef _Function_base::_Base_manager<_Functor*> _Base;
    public:
 static bool
 _M_manager(_Any_data& __dest, const _Any_data& __source,
     _Manager_operation __op)
 {
   switch (__op)
     {
     case __get_type_info:
       __dest._M_access<const type_info*>() = &typeid(_Functor);
       break;
     case __get_functor_ptr:
       __dest._M_access<_Functor*>() = *_Base::_M_get_pointer(__source);
       return is_const<_Functor>::value;
       break;
     default:
       _Base::_M_manager(__dest, __source, __op);
     }
   return false;
 }
 static void
 _M_init_functor(_Any_data& __functor, reference_wrapper<_Functor> __f)
 {
   _Base::_M_init_functor(__functor, &__f.get());
 }
      };
    _Function_base() : _M_manager(0) { }
    ~_Function_base()
    {
      if (_M_manager)
 _M_manager(_M_functor, _M_functor, __destroy_functor);
    }
    bool _M_empty() const { return !_M_manager; }
    typedef bool (*_Manager_type)(_Any_data&, const _Any_data&,
      _Manager_operation);
    _Any_data _M_functor;
    _Manager_type _M_manager;
  };
  template<typename _Signature, typename _Functor>
    class _Function_handler;
  template<typename _Res, typename _Functor, typename... _ArgTypes>
    class _Function_handler<_Res(_ArgTypes...), _Functor>
    : public _Function_base::_Base_manager<_Functor>
    {
      typedef _Function_base::_Base_manager<_Functor> _Base;
    public:
      static _Res
      _M_invoke(const _Any_data& __functor, _ArgTypes... __args)
      {
 return (*_Base::_M_get_pointer(__functor))(
     std::forward<_ArgTypes>(__args)...);
      }
    };
  template<typename _Functor, typename... _ArgTypes>
    class _Function_handler<void(_ArgTypes...), _Functor>
    : public _Function_base::_Base_manager<_Functor>
    {
      typedef _Function_base::_Base_manager<_Functor> _Base;
     public:
      static void
      _M_invoke(const _Any_data& __functor, _ArgTypes... __args)
      {
 (*_Base::_M_get_pointer(__functor))(
     std::forward<_ArgTypes>(__args)...);
      }
    };
  template<typename _Res, typename _Functor, typename... _ArgTypes>
    class _Function_handler<_Res(_ArgTypes...), reference_wrapper<_Functor> >
    : public _Function_base::_Ref_manager<_Functor>
    {
      typedef _Function_base::_Ref_manager<_Functor> _Base;
     public:
      static _Res
      _M_invoke(const _Any_data& __functor, _ArgTypes... __args)
      {
 return __callable_functor(**_Base::_M_get_pointer(__functor))(
       std::forward<_ArgTypes>(__args)...);
      }
    };
  template<typename _Functor, typename... _ArgTypes>
    class _Function_handler<void(_ArgTypes...), reference_wrapper<_Functor> >
    : public _Function_base::_Ref_manager<_Functor>
    {
      typedef _Function_base::_Ref_manager<_Functor> _Base;
     public:
      static void
      _M_invoke(const _Any_data& __functor, _ArgTypes... __args)
      {
 __callable_functor(**_Base::_M_get_pointer(__functor))(
     std::forward<_ArgTypes>(__args)...);
      }
    };
  template<typename _Class, typename _Member, typename _Res,
    typename... _ArgTypes>
    class _Function_handler<_Res(_ArgTypes...), _Member _Class::*>
    : public _Function_handler<void(_ArgTypes...), _Member _Class::*>
    {
      typedef _Function_handler<void(_ArgTypes...), _Member _Class::*>
 _Base;
     public:
      static _Res
      _M_invoke(const _Any_data& __functor, _ArgTypes... __args)
      {
 return mem_fn(_Base::_M_get_pointer(__functor)->__value)(
     std::forward<_ArgTypes>(__args)...);
      }
    };
  template<typename _Class, typename _Member, typename... _ArgTypes>
    class _Function_handler<void(_ArgTypes...), _Member _Class::*>
    : public _Function_base::_Base_manager<
   _Simple_type_wrapper< _Member _Class::* > >
    {
      typedef _Member _Class::* _Functor;
      typedef _Simple_type_wrapper<_Functor> _Wrapper;
      typedef _Function_base::_Base_manager<_Wrapper> _Base;
     public:
      static bool
      _M_manager(_Any_data& __dest, const _Any_data& __source,
   _Manager_operation __op)
      {
 switch (__op)
   {
   case __get_type_info:
     __dest._M_access<const type_info*>() = &typeid(_Functor);
     break;
   case __get_functor_ptr:
     __dest._M_access<_Functor*>() =
       &_Base::_M_get_pointer(__source)->__value;
     break;
   default:
     _Base::_M_manager(__dest, __source, __op);
   }
 return false;
      }
      static void
      _M_invoke(const _Any_data& __functor, _ArgTypes... __args)
      {
 mem_fn(_Base::_M_get_pointer(__functor)->__value)(
     std::forward<_ArgTypes>(__args)...);
      }
    };
  template<typename _Res, typename... _ArgTypes>
    class function<_Res(_ArgTypes...)>
    : public _Maybe_unary_or_binary_function<_Res, _ArgTypes...>,
      private _Function_base
    {
      typedef _Res _Signature_type(_ArgTypes...);
      struct _Useless { };
    public:
      typedef _Res result_type;
      function() noexcept
      : _Function_base() { }
      function(nullptr_t) noexcept
      : _Function_base() { }
      function(const function& __x);
      function(function&& __x) : _Function_base()
      {
 __x.swap(*this);
      }
      template<typename _Functor>
 function(_Functor __f,
   typename enable_if<
      !is_integral<_Functor>::value, _Useless>::type
     = _Useless());
      function&
      operator=(const function& __x)
      {
 function(__x).swap(*this);
 return *this;
      }
      function&
      operator=(function&& __x)
      {
 function(std::move(__x)).swap(*this);
 return *this;
      }
      function&
      operator=(nullptr_t)
      {
 if (_M_manager)
   {
     _M_manager(_M_functor, _M_functor, __destroy_functor);
     _M_manager = 0;
     _M_invoker = 0;
   }
 return *this;
      }
      template<typename _Functor>
 typename enable_if<!is_integral<_Functor>::value, function&>::type
 operator=(_Functor&& __f)
 {
   function(std::forward<_Functor>(__f)).swap(*this);
   return *this;
 }
      template<typename _Functor>
 typename enable_if<!is_integral<_Functor>::value, function&>::type
 operator=(reference_wrapper<_Functor> __f) noexcept
 {
   function(__f).swap(*this);
   return *this;
 }
      void swap(function& __x)
      {
 std::swap(_M_functor, __x._M_functor);
 std::swap(_M_manager, __x._M_manager);
 std::swap(_M_invoker, __x._M_invoker);
      }
      explicit operator bool() const noexcept
      { return !_M_empty(); }
      _Res operator()(_ArgTypes... __args) const;
      const type_info& target_type() const noexcept;
      template<typename _Functor> _Functor* target() noexcept;
      template<typename _Functor> const _Functor* target() const noexcept;
    private:
      typedef _Res (*_Invoker_type)(const _Any_data&, _ArgTypes...);
      _Invoker_type _M_invoker;
  };
  template<typename _Res, typename... _ArgTypes>
    function<_Res(_ArgTypes...)>::
    function(const function& __x)
    : _Function_base()
    {
      if (static_cast<bool>(__x))
 {
   _M_invoker = __x._M_invoker;
   _M_manager = __x._M_manager;
   __x._M_manager(_M_functor, __x._M_functor, __clone_functor);
 }
    }
  template<typename _Res, typename... _ArgTypes>
    template<typename _Functor>
      function<_Res(_ArgTypes...)>::
      function(_Functor __f,
        typename enable_if<
   !is_integral<_Functor>::value, _Useless>::type)
      : _Function_base()
      {
 typedef _Function_handler<_Signature_type, _Functor> _My_handler;
 if (_My_handler::_M_not_empty_function(__f))
   {
     _M_invoker = &_My_handler::_M_invoke;
     _M_manager = &_My_handler::_M_manager;
     _My_handler::_M_init_functor(_M_functor, std::move(__f));
   }
      }
  template<typename _Res, typename... _ArgTypes>
    _Res
    function<_Res(_ArgTypes...)>::
    operator()(_ArgTypes... __args) const
    {
      if (_M_empty())
 __throw_bad_function_call();
      return _M_invoker(_M_functor, std::forward<_ArgTypes>(__args)...);
    }
  template<typename _Res, typename... _ArgTypes>
    const type_info&
    function<_Res(_ArgTypes...)>::
    target_type() const noexcept
    {
      if (_M_manager)
 {
   _Any_data __typeinfo_result;
   _M_manager(__typeinfo_result, _M_functor, __get_type_info);
   return *__typeinfo_result._M_access<const type_info*>();
 }
      else
 return typeid(void);
    }
  template<typename _Res, typename... _ArgTypes>
    template<typename _Functor>
      _Functor*
      function<_Res(_ArgTypes...)>::
      target() noexcept
      {
 if (typeid(_Functor) == target_type() && _M_manager)
   {
     _Any_data __ptr;
     if (_M_manager(__ptr, _M_functor, __get_functor_ptr)
  && !is_const<_Functor>::value)
       return 0;
     else
       return __ptr._M_access<_Functor*>();
   }
 else
   return 0;
      }
  template<typename _Res, typename... _ArgTypes>
    template<typename _Functor>
      const _Functor*
      function<_Res(_ArgTypes...)>::
      target() const noexcept
      {
 if (typeid(_Functor) == target_type() && _M_manager)
   {
     _Any_data __ptr;
     _M_manager(__ptr, _M_functor, __get_functor_ptr);
     return __ptr._M_access<const _Functor*>();
   }
 else
   return 0;
      }
  template<typename _Res, typename... _Args>
    inline bool
    operator==(const function<_Res(_Args...)>& __f, nullptr_t) noexcept
    { return !static_cast<bool>(__f); }
  template<typename _Res, typename... _Args>
    inline bool
    operator==(nullptr_t, const function<_Res(_Args...)>& __f) noexcept
    { return !static_cast<bool>(__f); }
  template<typename _Res, typename... _Args>
    inline bool
    operator!=(const function<_Res(_Args...)>& __f, nullptr_t) noexcept
    { return static_cast<bool>(__f); }
  template<typename _Res, typename... _Args>
    inline bool
    operator!=(nullptr_t, const function<_Res(_Args...)>& __f) noexcept
    { return static_cast<bool>(__f); }
  template<typename _Res, typename... _Args>
    inline void
    swap(function<_Res(_Args...)>& __x, function<_Res(_Args...)>& __y)
    { __x.swap(__y); }

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Tp1>
    struct auto_ptr_ref
    {
      _Tp1* _M_ptr;
      explicit
      auto_ptr_ref(_Tp1* __p): _M_ptr(__p) { }
    } __attribute__ ((__deprecated__));
  template<typename _Tp>
    class auto_ptr
    {
    private:
      _Tp* _M_ptr;
    public:
      typedef _Tp element_type;
      explicit
      auto_ptr(element_type* __p = 0) throw() : _M_ptr(__p) { }
      auto_ptr(auto_ptr& __a) throw() : _M_ptr(__a.release()) { }
      template<typename _Tp1>
        auto_ptr(auto_ptr<_Tp1>& __a) throw() : _M_ptr(__a.release()) { }
      auto_ptr&
      operator=(auto_ptr& __a) throw()
      {
 reset(__a.release());
 return *this;
      }
      template<typename _Tp1>
        auto_ptr&
        operator=(auto_ptr<_Tp1>& __a) throw()
        {
   reset(__a.release());
   return *this;
 }
      ~auto_ptr() { delete _M_ptr; }
      element_type&
      operator*() const throw()
      {
 ;
 return *_M_ptr;
      }
      element_type*
      operator->() const throw()
      {
 ;
 return _M_ptr;
      }
      element_type*
      get() const throw() { return _M_ptr; }
      element_type*
      release() throw()
      {
 element_type* __tmp = _M_ptr;
 _M_ptr = 0;
 return __tmp;
      }
      void
      reset(element_type* __p = 0) throw()
      {
 if (__p != _M_ptr)
   {
     delete _M_ptr;
     _M_ptr = __p;
   }
      }
      auto_ptr(auto_ptr_ref<element_type> __ref) throw()
      : _M_ptr(__ref._M_ptr) { }
      auto_ptr&
      operator=(auto_ptr_ref<element_type> __ref) throw()
      {
 if (__ref._M_ptr != this->get())
   {
     delete _M_ptr;
     _M_ptr = __ref._M_ptr;
   }
 return *this;
      }
      template<typename _Tp1>
        operator auto_ptr_ref<_Tp1>() throw()
        { return auto_ptr_ref<_Tp1>(this->release()); }
      template<typename _Tp1>
        operator auto_ptr<_Tp1>() throw()
        { return auto_ptr<_Tp1>(this->release()); }
    } __attribute__ ((__deprecated__));
  template<>
    class auto_ptr<void>
    {
    public:
      typedef void element_type;
    } __attribute__ ((__deprecated__));

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Tp>
    struct default_delete
    {
      constexpr default_delete() noexcept = default;
      template<typename _Up, typename = typename
        std::enable_if<std::is_convertible<_Up*, _Tp*>::value>::type>
        default_delete(const default_delete<_Up>&) noexcept { }
      void
      operator()(_Tp* __ptr) const
      {
 static_assert(sizeof(_Tp)>0,
        "can't delete pointer to incomplete type");
 delete __ptr;
      }
    };
  template<typename _Tp>
    struct default_delete<_Tp[]>
    {
      constexpr default_delete() noexcept = default;
      void
      operator()(_Tp* __ptr) const
      {
 static_assert(sizeof(_Tp)>0,
        "can't delete pointer to incomplete type");
 delete [] __ptr;
      }
      template<typename _Up> void operator()(_Up*) const = delete;
    };
  template <typename _Tp, typename _Dp = default_delete<_Tp> >
    class unique_ptr
    {
      class _Pointer
      {
 template<typename _Up>
   static typename _Up::pointer __test(typename _Up::pointer*);
 template<typename _Up>
   static _Tp* __test(...);
 typedef typename remove_reference<_Dp>::type _Del;
      public:
 typedef decltype( __test<_Del>(0)) type;
      };
      typedef std::tuple<typename _Pointer::type, _Dp> __tuple_type;
      __tuple_type _M_t;
    public:
      typedef typename _Pointer::type pointer;
      typedef _Tp element_type;
      typedef _Dp deleter_type;
      constexpr unique_ptr() noexcept
      : _M_t()
      { static_assert(!std::is_pointer<deleter_type>::value,
       "constructed with null function pointer deleter"); }
      explicit
      unique_ptr(pointer __p) noexcept
      : _M_t(__p, deleter_type())
      { static_assert(!std::is_pointer<deleter_type>::value,
       "constructed with null function pointer deleter"); }
      unique_ptr(pointer __p,
   typename std::conditional<std::is_reference<deleter_type>::value,
     deleter_type, const deleter_type&>::type __d) noexcept
      : _M_t(__p, __d) { }
      unique_ptr(pointer __p,
   typename std::remove_reference<deleter_type>::type&& __d) noexcept
      : _M_t(std::move(__p), std::move(__d))
      { static_assert(!std::is_reference<deleter_type>::value,
        "rvalue deleter bound to reference"); }
      constexpr unique_ptr(nullptr_t) noexcept
      : _M_t()
      { static_assert(!std::is_pointer<deleter_type>::value,
       "constructed with null function pointer deleter"); }
      unique_ptr(unique_ptr&& __u) noexcept
      : _M_t(__u.release(), std::forward<deleter_type>(__u.get_deleter())) { }
      template<typename _Up, typename _Ep, typename = typename
 std::enable_if
   <std::is_convertible<typename unique_ptr<_Up, _Ep>::pointer,
          pointer>::value
    && !std::is_array<_Up>::value
    && ((std::is_reference<_Dp>::value
  && std::is_same<_Ep, _Dp>::value)
        || (!std::is_reference<_Dp>::value
     && std::is_convertible<_Ep, _Dp>::value))>
      ::type>
 unique_ptr(unique_ptr<_Up, _Ep>&& __u) noexcept
 : _M_t(__u.release(), std::forward<_Ep>(__u.get_deleter()))
 { }
      template<typename _Up, typename = typename
 std::enable_if<std::is_convertible<_Up*, _Tp*>::value
         && std::is_same<_Dp,
           default_delete<_Tp>>::value>::type>
 unique_ptr(auto_ptr<_Up>&& __u) noexcept
 : _M_t(__u.release(), deleter_type()) { }
      ~unique_ptr() noexcept
      {
 auto& __ptr = std::get<0>(_M_t);
 if (__ptr != nullptr)
   get_deleter()(__ptr);
 __ptr = pointer();
      }
      unique_ptr&
      operator=(unique_ptr&& __u) noexcept
      {
 reset(__u.release());
 get_deleter() = std::forward<deleter_type>(__u.get_deleter());
 return *this;
      }
      template<typename _Up, typename _Ep, typename = typename
 std::enable_if
   <std::is_convertible<typename unique_ptr<_Up, _Ep>::pointer,
          pointer>::value
    && !std::is_array<_Up>::value>::type>
 unique_ptr&
 operator=(unique_ptr<_Up, _Ep>&& __u) noexcept
 {
   reset(__u.release());
   get_deleter() = std::forward<_Ep>(__u.get_deleter());
   return *this;
 }
      unique_ptr&
      operator=(nullptr_t) noexcept
      {
 reset();
 return *this;
      }
      typename std::add_lvalue_reference<element_type>::type
      operator*() const
      {
 ;
 return *get();
      }
      pointer
      operator->() const noexcept
      {
 ;
 return get();
      }
      pointer
      get() const noexcept
      { return std::get<0>(_M_t); }
      deleter_type&
      get_deleter() noexcept
      { return std::get<1>(_M_t); }
      const deleter_type&
      get_deleter() const noexcept
      { return std::get<1>(_M_t); }
      explicit operator bool() const noexcept
      { return get() == pointer() ? false : true; }
      pointer
      release() noexcept
      {
 pointer __p = get();
 std::get<0>(_M_t) = pointer();
 return __p;
      }
      void
      reset(pointer __p = pointer()) noexcept
      {
 using std::swap;
 swap(std::get<0>(_M_t), __p);
 if (__p != pointer())
   get_deleter()(__p);
      }
      void
      swap(unique_ptr& __u) noexcept
      {
 using std::swap;
 swap(_M_t, __u._M_t);
      }
      unique_ptr(const unique_ptr&) = delete;
      unique_ptr& operator=(const unique_ptr&) = delete;
  };
  template<typename _Tp, typename _Dp>
    class unique_ptr<_Tp[], _Dp>
    {
      typedef std::tuple<_Tp*, _Dp> __tuple_type;
      __tuple_type _M_t;
    public:
      typedef _Tp* pointer;
      typedef _Tp element_type;
      typedef _Dp deleter_type;
      constexpr unique_ptr() noexcept
      : _M_t()
      { static_assert(!std::is_pointer<deleter_type>::value,
       "constructed with null function pointer deleter"); }
      explicit
      unique_ptr(pointer __p) noexcept
      : _M_t(__p, deleter_type())
      { static_assert(!std::is_pointer<deleter_type>::value,
       "constructed with null function pointer deleter"); }
      unique_ptr(pointer __p,
   typename std::conditional<std::is_reference<deleter_type>::value,
       deleter_type, const deleter_type&>::type __d) noexcept
      : _M_t(__p, __d) { }
      unique_ptr(pointer __p, typename
   std::remove_reference<deleter_type>::type && __d) noexcept
      : _M_t(std::move(__p), std::move(__d))
      { static_assert(!std::is_reference<deleter_type>::value,
        "rvalue deleter bound to reference"); }
      constexpr unique_ptr(nullptr_t) noexcept
      : _M_t()
      { static_assert(!std::is_pointer<deleter_type>::value,
       "constructed with null function pointer deleter"); }
      unique_ptr(unique_ptr&& __u) noexcept
      : _M_t(__u.release(), std::forward<deleter_type>(__u.get_deleter())) { }
      template<typename _Up, typename _Ep>
 unique_ptr(unique_ptr<_Up, _Ep>&& __u) noexcept
 : _M_t(__u.release(), std::forward<_Ep>(__u.get_deleter()))
 { }
      ~unique_ptr()
      {
 auto& __ptr = std::get<0>(_M_t);
 if (__ptr != nullptr)
   get_deleter()(__ptr);
 __ptr = pointer();
      }
      unique_ptr&
      operator=(unique_ptr&& __u) noexcept
      {
 reset(__u.release());
 get_deleter() = std::forward<deleter_type>(__u.get_deleter());
 return *this;
      }
      template<typename _Up, typename _Ep>
 unique_ptr&
 operator=(unique_ptr<_Up, _Ep>&& __u) noexcept
 {
   reset(__u.release());
   get_deleter() = std::forward<_Ep>(__u.get_deleter());
   return *this;
 }
      unique_ptr&
      operator=(nullptr_t) noexcept
      {
 reset();
 return *this;
      }
      typename std::add_lvalue_reference<element_type>::type
      operator[](size_t __i) const
      {
 ;
 return get()[__i];
      }
      pointer
      get() const noexcept
      { return std::get<0>(_M_t); }
      deleter_type&
      get_deleter() noexcept
      { return std::get<1>(_M_t); }
      const deleter_type&
      get_deleter() const noexcept
      { return std::get<1>(_M_t); }
      explicit operator bool() const noexcept
      { return get() == pointer() ? false : true; }
      pointer
      release() noexcept
      {
 pointer __p = get();
 std::get<0>(_M_t) = pointer();
 return __p;
      }
      void
      reset(pointer __p = pointer()) noexcept
      {
 using std::swap;
 swap(std::get<0>(_M_t), __p);
 if (__p != nullptr)
   get_deleter()(__p);
      }
      void
      reset(nullptr_t) noexcept
      {
 pointer __p = get();
 std::get<0>(_M_t) = pointer();
 if (__p != nullptr)
   get_deleter()(__p);
      }
      template<typename _Up>
 void reset(_Up) = delete;
      void
      swap(unique_ptr& __u) noexcept
      {
 using std::swap;
 swap(_M_t, __u._M_t);
      }
      unique_ptr(const unique_ptr&) = delete;
      unique_ptr& operator=(const unique_ptr&) = delete;
      template<typename _Up>
 unique_ptr(_Up*, typename
     std::conditional<std::is_reference<deleter_type>::value,
     deleter_type, const deleter_type&>::type,
     typename std::enable_if<std::is_convertible<_Up*,
     pointer>::value>::type* = 0) = delete;
      template<typename _Up>
 unique_ptr(_Up*, typename std::remove_reference<deleter_type>::type&&,
     typename std::enable_if<std::is_convertible<_Up*,
     pointer>::value>::type* = 0) = delete;
      template<typename _Up>
 explicit
 unique_ptr(_Up*, typename std::enable_if<std::is_convertible<_Up*,
     pointer>::value>::type* = 0) = delete;
    };
  template<typename _Tp, typename _Dp>
    inline void
    swap(unique_ptr<_Tp, _Dp>& __x,
  unique_ptr<_Tp, _Dp>& __y) noexcept
    { __x.swap(__y); }
  template<typename _Tp, typename _Dp,
    typename _Up, typename _Ep>
    inline bool
    operator==(const unique_ptr<_Tp, _Dp>& __x,
        const unique_ptr<_Up, _Ep>& __y)
    { return __x.get() == __y.get(); }
  template<typename _Tp, typename _Dp>
    inline bool
    operator==(const unique_ptr<_Tp, _Dp>& __x, nullptr_t) noexcept
    { return !__x; }
  template<typename _Tp, typename _Dp>
    inline bool
    operator==(nullptr_t, const unique_ptr<_Tp, _Dp>& __x) noexcept
    { return !__x; }
  template<typename _Tp, typename _Dp,
    typename _Up, typename _Ep>
    inline bool
    operator!=(const unique_ptr<_Tp, _Dp>& __x,
        const unique_ptr<_Up, _Ep>& __y)
    { return __x.get() != __y.get(); }
  template<typename _Tp, typename _Dp>
    inline bool
    operator!=(const unique_ptr<_Tp, _Dp>& __x, nullptr_t) noexcept
    { return (bool)__x; }
  template<typename _Tp, typename _Dp>
    inline bool
    operator!=(nullptr_t, const unique_ptr<_Tp, _Dp>& __x) noexcept
    { return (bool)__x; }
  template<typename _Tp, typename _Dp,
    typename _Up, typename _Ep>
    inline bool
    operator<(const unique_ptr<_Tp, _Dp>& __x,
       const unique_ptr<_Up, _Ep>& __y)
    {
      typedef typename
 std::common_type<typename unique_ptr<_Tp, _Dp>::pointer,
                  typename unique_ptr<_Up, _Ep>::pointer>::type _CT;
      return std::less<_CT>()(__x.get(), __y.get());
    }
  template<typename _Tp, typename _Dp>
    inline bool
    operator<(const unique_ptr<_Tp, _Dp>& __x, nullptr_t)
    { return std::less<typename unique_ptr<_Tp, _Dp>::pointer>()(__x.get(),
         nullptr); }
  template<typename _Tp, typename _Dp>
    inline bool
    operator<(nullptr_t, const unique_ptr<_Tp, _Dp>& __x)
    { return std::less<typename unique_ptr<_Tp, _Dp>::pointer>()(nullptr,
         __x.get()); }
  template<typename _Tp, typename _Dp,
    typename _Up, typename _Ep>
    inline bool
    operator<=(const unique_ptr<_Tp, _Dp>& __x,
        const unique_ptr<_Up, _Ep>& __y)
    { return !(__y < __x); }
  template<typename _Tp, typename _Dp>
    inline bool
    operator<=(const unique_ptr<_Tp, _Dp>& __x, nullptr_t)
    { return !(nullptr < __x); }
  template<typename _Tp, typename _Dp>
    inline bool
    operator<=(nullptr_t, const unique_ptr<_Tp, _Dp>& __x)
    { return !(__x < nullptr); }
  template<typename _Tp, typename _Dp,
    typename _Up, typename _Ep>
    inline bool
    operator>(const unique_ptr<_Tp, _Dp>& __x,
       const unique_ptr<_Up, _Ep>& __y)
    { return (__y < __x); }
  template<typename _Tp, typename _Dp>
    inline bool
    operator>(const unique_ptr<_Tp, _Dp>& __x, nullptr_t)
    { return std::less<typename unique_ptr<_Tp, _Dp>::pointer>()(nullptr,
         __x.get()); }
  template<typename _Tp, typename _Dp>
    inline bool
    operator>(nullptr_t, const unique_ptr<_Tp, _Dp>& __x)
    { return std::less<typename unique_ptr<_Tp, _Dp>::pointer>()(__x.get(),
         nullptr); }
  template<typename _Tp, typename _Dp,
    typename _Up, typename _Ep>
    inline bool
    operator>=(const unique_ptr<_Tp, _Dp>& __x,
        const unique_ptr<_Up, _Ep>& __y)
    { return !(__x < __y); }
  template<typename _Tp, typename _Dp>
    inline bool
    operator>=(const unique_ptr<_Tp, _Dp>& __x, nullptr_t)
    { return !(__x < nullptr); }
  template<typename _Tp, typename _Dp>
    inline bool
    operator>=(nullptr_t, const unique_ptr<_Tp, _Dp>& __x)
    { return !(nullptr < __x); }
  template<typename _Tp, typename _Dp>
    struct hash<unique_ptr<_Tp, _Dp>>
    : public __hash_base<size_t, unique_ptr<_Tp, _Dp>>
    {
      size_t
      operator()(const unique_ptr<_Tp, _Dp>& __u) const noexcept
      {
 typedef unique_ptr<_Tp, _Dp> _UP;
 return std::hash<typename _UP::pointer>()(__u.get());
      }
    };

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  class bad_weak_ptr : public std::exception
  {
  public:
    virtual char const*
    what() const noexcept;
    virtual ~bad_weak_ptr() noexcept;
  };
  inline void
  __throw_bad_weak_ptr()
  {
    throw bad_weak_ptr();
  }
  using __gnu_cxx::_Lock_policy;
  using __gnu_cxx::__default_lock_policy;
  using __gnu_cxx::_S_single;
  using __gnu_cxx::_S_mutex;
  using __gnu_cxx::_S_atomic;
  template<_Lock_policy _Lp>
    class _Mutex_base
    {
    protected:
      enum { _S_need_barriers = 0 };
    };
  template<>
    class _Mutex_base<_S_mutex>
    : public __gnu_cxx::__mutex
    {
    protected:
      enum { _S_need_barriers = 1 };
    };
  template<_Lock_policy _Lp = __default_lock_policy>
    class _Sp_counted_base
    : public _Mutex_base<_Lp>
    {
    public:
      _Sp_counted_base() noexcept
      : _M_use_count(1), _M_weak_count(1) { }
      virtual
      ~_Sp_counted_base() noexcept
      { }
      virtual void
      _M_dispose() noexcept = 0;
      virtual void
      _M_destroy() noexcept
      { delete this; }
      virtual void*
      _M_get_deleter(const std::type_info&) = 0;
      void
      _M_add_ref_copy()
      { __gnu_cxx::__atomic_add_dispatch(&_M_use_count, 1); }
      void
      _M_add_ref_lock();
      void
      _M_release() noexcept
      {
        ;
 if (__gnu_cxx::__exchange_and_add_dispatch(&_M_use_count, -1) == 1)
   {
            ;
     _M_dispose();
     if (_Mutex_base<_Lp>::_S_need_barriers)
       {
         __asm __volatile ("":::"memory");
         __asm __volatile ("":::"memory");
       }
            ;
     if (__gnu_cxx::__exchange_and_add_dispatch(&_M_weak_count,
             -1) == 1)
              {
                ;
         _M_destroy();
              }
   }
      }
      void
      _M_weak_add_ref() noexcept
      { __gnu_cxx::__atomic_add_dispatch(&_M_weak_count, 1); }
      void
      _M_weak_release() noexcept
      {
        ;
 if (__gnu_cxx::__exchange_and_add_dispatch(&_M_weak_count, -1) == 1)
   {
            ;
     if (_Mutex_base<_Lp>::_S_need_barriers)
       {
         __asm __volatile ("":::"memory");
         __asm __volatile ("":::"memory");
       }
     _M_destroy();
   }
      }
      long
      _M_get_use_count() const noexcept
      {
        return __atomic_load_n(&_M_use_count, 0);
      }
    private:
      _Sp_counted_base(_Sp_counted_base const&) = delete;
      _Sp_counted_base& operator=(_Sp_counted_base const&) = delete;
      _Atomic_word _M_use_count;
      _Atomic_word _M_weak_count;
    };
  template<>
    inline void
    _Sp_counted_base<_S_single>::
    _M_add_ref_lock()
    {
      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_use_count, 1) == 0)
 {
   _M_use_count = 0;
   __throw_bad_weak_ptr();
 }
    }
  template<>
    inline void
    _Sp_counted_base<_S_mutex>::
    _M_add_ref_lock()
    {
      __gnu_cxx::__scoped_lock sentry(*this);
      if (__gnu_cxx::__exchange_and_add_dispatch(&_M_use_count, 1) == 0)
 {
   _M_use_count = 0;
   __throw_bad_weak_ptr();
 }
    }
  template<>
    inline void
    _Sp_counted_base<_S_atomic>::
    _M_add_ref_lock()
    {
      _Atomic_word __count = _M_use_count;
      do
 {
   if (__count == 0)
     __throw_bad_weak_ptr();
 }
      while (!__atomic_compare_exchange_n(&_M_use_count, &__count, __count + 1,
       true, 4,
       0));
    }
  template<typename _Tp, _Lock_policy _Lp = __default_lock_policy>
    class __shared_ptr;
  template<typename _Tp, _Lock_policy _Lp = __default_lock_policy>
    class __weak_ptr;
  template<typename _Tp, _Lock_policy _Lp = __default_lock_policy>
    class __enable_shared_from_this;
  template<typename _Tp>
    class shared_ptr;
  template<typename _Tp>
    class weak_ptr;
  template<typename _Tp>
    struct owner_less;
  template<typename _Tp>
    class enable_shared_from_this;
  template<_Lock_policy _Lp = __default_lock_policy>
    class __weak_count;
  template<_Lock_policy _Lp = __default_lock_policy>
    class __shared_count;
  template<typename _Ptr, _Lock_policy _Lp>
    class _Sp_counted_ptr final : public _Sp_counted_base<_Lp>
    {
    public:
      explicit
      _Sp_counted_ptr(_Ptr __p)
      : _M_ptr(__p) { }
      virtual void
      _M_dispose() noexcept
      { delete _M_ptr; }
      virtual void
      _M_destroy() noexcept
      { delete this; }
      virtual void*
      _M_get_deleter(const std::type_info&)
      { return 0; }
      _Sp_counted_ptr(const _Sp_counted_ptr&) = delete;
      _Sp_counted_ptr& operator=(const _Sp_counted_ptr&) = delete;
    protected:
      _Ptr _M_ptr;
    };
  template<>
    inline void
    _Sp_counted_ptr<nullptr_t, _S_single>::_M_dispose() noexcept { }
  template<>
    inline void
    _Sp_counted_ptr<nullptr_t, _S_mutex>::_M_dispose() noexcept { }
  template<>
    inline void
    _Sp_counted_ptr<nullptr_t, _S_atomic>::_M_dispose() noexcept { }
  template<typename _Ptr, typename _Deleter, typename _Alloc, _Lock_policy _Lp>
    class _Sp_counted_deleter final : public _Sp_counted_base<_Lp>
    {
      struct _My_Deleter
      : public _Alloc
      {
 _Deleter _M_del;
 _My_Deleter(_Deleter __d, const _Alloc& __a)
 : _Alloc(__a), _M_del(__d) { }
      };
    public:
      _Sp_counted_deleter(_Ptr __p, _Deleter __d)
      : _M_ptr(__p), _M_del(__d, _Alloc()) { }
      _Sp_counted_deleter(_Ptr __p, _Deleter __d, const _Alloc& __a)
      : _M_ptr(__p), _M_del(__d, __a) { }
      ~_Sp_counted_deleter() noexcept { }
      virtual void
      _M_dispose() noexcept
      { _M_del._M_del(_M_ptr); }
      virtual void
      _M_destroy() noexcept
      {
 typedef typename allocator_traits<_Alloc>::template
   rebind_traits<_Sp_counted_deleter> _Alloc_traits;
 typename _Alloc_traits::allocator_type __a(_M_del);
 _Alloc_traits::destroy(__a, this);
 _Alloc_traits::deallocate(__a, this, 1);
      }
      virtual void*
      _M_get_deleter(const std::type_info& __ti)
      {
        return __ti == typeid(_Deleter) ? &_M_del._M_del : 0;
      }
    protected:
      _Ptr _M_ptr;
      _My_Deleter _M_del;
    };
  struct _Sp_make_shared_tag { };
  template<typename _Tp, typename _Alloc, _Lock_policy _Lp>
    class _Sp_counted_ptr_inplace final : public _Sp_counted_base<_Lp>
    {
      struct _Impl
      : public _Alloc
      {
 _Impl(_Alloc __a) : _Alloc(__a), _M_ptr() { }
 _Tp* _M_ptr;
      };
    public:
      template<typename... _Args>
 _Sp_counted_ptr_inplace(_Alloc __a, _Args&&... __args)
 : _M_impl(__a), _M_storage()
 {
   _M_impl._M_ptr = static_cast<_Tp*>(static_cast<void*>(&_M_storage));
   allocator_traits<_Alloc>::construct(__a, _M_impl._M_ptr,
       std::forward<_Args>(__args)...);
 }
      ~_Sp_counted_ptr_inplace() noexcept { }
      virtual void
      _M_dispose() noexcept
      { allocator_traits<_Alloc>::destroy(_M_impl, _M_impl._M_ptr); }
      virtual void
      _M_destroy() noexcept
      {
 typedef typename allocator_traits<_Alloc>::template
   rebind_traits<_Sp_counted_ptr_inplace> _Alloc_traits;
 typename _Alloc_traits::allocator_type __a(_M_impl);
 _Alloc_traits::destroy(__a, this);
 _Alloc_traits::deallocate(__a, this, 1);
      }
      virtual void*
      _M_get_deleter(const std::type_info& __ti) noexcept
      {
 return __ti == typeid(_Sp_make_shared_tag)
        ? static_cast<void*>(&_M_storage)
        : 0;
      }
    private:
      _Impl _M_impl;
      typename aligned_storage<sizeof(_Tp), alignment_of<_Tp>::value>::type
 _M_storage;
    };
  template<_Lock_policy _Lp>
    class __shared_count
    {
    public:
      constexpr __shared_count() noexcept : _M_pi(0)
      { }
      template<typename _Ptr>
        explicit
 __shared_count(_Ptr __p) : _M_pi(0)
 {
   try
     {
       _M_pi = new _Sp_counted_ptr<_Ptr, _Lp>(__p);
     }
   catch(...)
     {
       delete __p;
       throw;
     }
 }
      template<typename _Ptr, typename _Deleter>
 __shared_count(_Ptr __p, _Deleter __d) : _M_pi(0)
 {
   typedef std::allocator<int> _Alloc;
   typedef _Sp_counted_deleter<_Ptr, _Deleter, _Alloc, _Lp> _Sp_cd_type;
   typedef typename allocator_traits<_Alloc>::template
     rebind_traits<_Sp_cd_type> _Alloc_traits;
   typename _Alloc_traits::allocator_type __a;
   _Sp_cd_type* __mem = 0;
   try
     {
       __mem = _Alloc_traits::allocate(__a, 1);
       _Alloc_traits::construct(__a, __mem, __p, std::move(__d));
       _M_pi = __mem;
     }
   catch(...)
     {
       __d(__p);
       if (__mem)
         _Alloc_traits::deallocate(__a, __mem, 1);
       throw;
     }
 }
      template<typename _Ptr, typename _Deleter, typename _Alloc>
 __shared_count(_Ptr __p, _Deleter __d, _Alloc __a) : _M_pi(0)
 {
   typedef _Sp_counted_deleter<_Ptr, _Deleter, _Alloc, _Lp> _Sp_cd_type;
   typedef typename allocator_traits<_Alloc>::template
     rebind_traits<_Sp_cd_type> _Alloc_traits;
   typename _Alloc_traits::allocator_type __a2(__a);
   _Sp_cd_type* __mem = 0;
   try
     {
       __mem = _Alloc_traits::allocate(__a2, 1);
       _Alloc_traits::construct(__a2, __mem,
    __p, std::move(__d), std::move(__a));
       _M_pi = __mem;
     }
   catch(...)
     {
       __d(__p);
       if (__mem)
         _Alloc_traits::deallocate(__a2, __mem, 1);
       throw;
     }
 }
      template<typename _Tp, typename _Alloc, typename... _Args>
 __shared_count(_Sp_make_shared_tag, _Tp*, const _Alloc& __a,
         _Args&&... __args)
 : _M_pi(0)
 {
   typedef _Sp_counted_ptr_inplace<_Tp, _Alloc, _Lp> _Sp_cp_type;
   typedef typename allocator_traits<_Alloc>::template
     rebind_traits<_Sp_cp_type> _Alloc_traits;
   typename _Alloc_traits::allocator_type __a2(__a);
   _Sp_cp_type* __mem = _Alloc_traits::allocate(__a2, 1);
   try
     {
       _Alloc_traits::construct(__a2, __mem, std::move(__a),
      std::forward<_Args>(__args)...);
       _M_pi = __mem;
     }
   catch(...)
     {
       _Alloc_traits::deallocate(__a2, __mem, 1);
       throw;
     }
 }
      template<typename _Tp>
        explicit
 __shared_count(std::auto_ptr<_Tp>&& __r)
 : _M_pi(new _Sp_counted_ptr<_Tp*, _Lp>(__r.get()))
 { __r.release(); }
      template<typename _Tp, typename _Del>
        explicit
 __shared_count(std::unique_ptr<_Tp, _Del>&& __r)
 : _M_pi(_S_create_from_up(std::move(__r)))
 { __r.release(); }
      explicit __shared_count(const __weak_count<_Lp>& __r);
      ~__shared_count() noexcept
      {
 if (_M_pi != 0)
   _M_pi->_M_release();
      }
      __shared_count(const __shared_count& __r) noexcept
      : _M_pi(__r._M_pi)
      {
 if (_M_pi != 0)
   _M_pi->_M_add_ref_copy();
      }
      __shared_count&
      operator=(const __shared_count& __r) noexcept
      {
 _Sp_counted_base<_Lp>* __tmp = __r._M_pi;
 if (__tmp != _M_pi)
   {
     if (__tmp != 0)
       __tmp->_M_add_ref_copy();
     if (_M_pi != 0)
       _M_pi->_M_release();
     _M_pi = __tmp;
   }
 return *this;
      }
      void
      _M_swap(__shared_count& __r) noexcept
      {
 _Sp_counted_base<_Lp>* __tmp = __r._M_pi;
 __r._M_pi = _M_pi;
 _M_pi = __tmp;
      }
      long
      _M_get_use_count() const noexcept
      { return _M_pi != 0 ? _M_pi->_M_get_use_count() : 0; }
      bool
      _M_unique() const noexcept
      { return this->_M_get_use_count() == 1; }
      void*
      _M_get_deleter(const std::type_info& __ti) const noexcept
      { return _M_pi ? _M_pi->_M_get_deleter(__ti) : 0; }
      bool
      _M_less(const __shared_count& __rhs) const noexcept
      { return std::less<_Sp_counted_base<_Lp>*>()(this->_M_pi, __rhs._M_pi); }
      bool
      _M_less(const __weak_count<_Lp>& __rhs) const noexcept
      { return std::less<_Sp_counted_base<_Lp>*>()(this->_M_pi, __rhs._M_pi); }
      friend inline bool
      operator==(const __shared_count& __a, const __shared_count& __b) noexcept
      { return __a._M_pi == __b._M_pi; }
    private:
      friend class __weak_count<_Lp>;
      template<typename _Tp, typename _Del>
 static _Sp_counted_base<_Lp>*
 _S_create_from_up(std::unique_ptr<_Tp, _Del>&& __r,
   typename std::enable_if<!std::is_reference<_Del>::value>::type* = 0)
 {
   return new _Sp_counted_deleter<_Tp*, _Del, std::allocator<_Tp>,
     _Lp>(__r.get(), __r.get_deleter());
 }
      template<typename _Tp, typename _Del>
 static _Sp_counted_base<_Lp>*
 _S_create_from_up(std::unique_ptr<_Tp, _Del>&& __r,
   typename std::enable_if<std::is_reference<_Del>::value>::type* = 0)
 {
   typedef typename std::remove_reference<_Del>::type _Del1;
   typedef std::reference_wrapper<_Del1> _Del2;
   return new _Sp_counted_deleter<_Tp*, _Del2, std::allocator<_Tp>,
     _Lp>(__r.get(), std::ref(__r.get_deleter()));
 }
      _Sp_counted_base<_Lp>* _M_pi;
    };
  template<_Lock_policy _Lp>
    class __weak_count
    {
    public:
      constexpr __weak_count() noexcept : _M_pi(0)
      { }
      __weak_count(const __shared_count<_Lp>& __r) noexcept
      : _M_pi(__r._M_pi)
      {
 if (_M_pi != 0)
   _M_pi->_M_weak_add_ref();
      }
      __weak_count(const __weak_count<_Lp>& __r) noexcept
      : _M_pi(__r._M_pi)
      {
 if (_M_pi != 0)
   _M_pi->_M_weak_add_ref();
      }
      ~__weak_count() noexcept
      {
 if (_M_pi != 0)
   _M_pi->_M_weak_release();
      }
      __weak_count<_Lp>&
      operator=(const __shared_count<_Lp>& __r) noexcept
      {
 _Sp_counted_base<_Lp>* __tmp = __r._M_pi;
 if (__tmp != 0)
   __tmp->_M_weak_add_ref();
 if (_M_pi != 0)
   _M_pi->_M_weak_release();
 _M_pi = __tmp;
 return *this;
      }
      __weak_count<_Lp>&
      operator=(const __weak_count<_Lp>& __r) noexcept
      {
 _Sp_counted_base<_Lp>* __tmp = __r._M_pi;
 if (__tmp != 0)
   __tmp->_M_weak_add_ref();
 if (_M_pi != 0)
   _M_pi->_M_weak_release();
 _M_pi = __tmp;
 return *this;
      }
      void
      _M_swap(__weak_count<_Lp>& __r) noexcept
      {
 _Sp_counted_base<_Lp>* __tmp = __r._M_pi;
 __r._M_pi = _M_pi;
 _M_pi = __tmp;
      }
      long
      _M_get_use_count() const noexcept
      { return _M_pi != 0 ? _M_pi->_M_get_use_count() : 0; }
      bool
      _M_less(const __weak_count& __rhs) const noexcept
      { return std::less<_Sp_counted_base<_Lp>*>()(this->_M_pi, __rhs._M_pi); }
      bool
      _M_less(const __shared_count<_Lp>& __rhs) const noexcept
      { return std::less<_Sp_counted_base<_Lp>*>()(this->_M_pi, __rhs._M_pi); }
      friend inline bool
      operator==(const __weak_count& __a, const __weak_count& __b) noexcept
      { return __a._M_pi == __b._M_pi; }
    private:
      friend class __shared_count<_Lp>;
      _Sp_counted_base<_Lp>* _M_pi;
    };
  template<_Lock_policy _Lp>
    inline __shared_count<_Lp>:: __shared_count(const __weak_count<_Lp>& __r)
    : _M_pi(__r._M_pi)
    {
      if (_M_pi != 0)
 _M_pi->_M_add_ref_lock();
      else
 __throw_bad_weak_ptr();
    }
  template<_Lock_policy _Lp, typename _Tp1, typename _Tp2>
    void
    __enable_shared_from_this_helper(const __shared_count<_Lp>&,
         const __enable_shared_from_this<_Tp1,
         _Lp>*, const _Tp2*) noexcept;
  template<typename _Tp1, typename _Tp2>
    void
    __enable_shared_from_this_helper(const __shared_count<>&,
         const enable_shared_from_this<_Tp1>*,
         const _Tp2*) noexcept;
  template<_Lock_policy _Lp>
    inline void
    __enable_shared_from_this_helper(const __shared_count<_Lp>&, ...) noexcept
    { }
  template<typename _Tp, _Lock_policy _Lp>
    class __shared_ptr
    {
    public:
      typedef _Tp element_type;
      constexpr __shared_ptr() noexcept
      : _M_ptr(0), _M_refcount()
      { }
      template<typename _Tp1>
 explicit __shared_ptr(_Tp1* __p)
        : _M_ptr(__p), _M_refcount(__p)
 {
  
   static_assert( sizeof(_Tp1) > 0, "incomplete type" );
   __enable_shared_from_this_helper(_M_refcount, __p, __p);
 }
      template<typename _Tp1, typename _Deleter>
 __shared_ptr(_Tp1* __p, _Deleter __d)
 : _M_ptr(__p), _M_refcount(__p, __d)
 {
  
   __enable_shared_from_this_helper(_M_refcount, __p, __p);
 }
      template<typename _Tp1, typename _Deleter, typename _Alloc>
 __shared_ptr(_Tp1* __p, _Deleter __d, _Alloc __a)
 : _M_ptr(__p), _M_refcount(__p, __d, std::move(__a))
 {
  
   __enable_shared_from_this_helper(_M_refcount, __p, __p);
 }
      template<typename _Deleter>
 __shared_ptr(nullptr_t __p, _Deleter __d)
 : _M_ptr(0), _M_refcount(__p, __d)
 { }
      template<typename _Deleter, typename _Alloc>
        __shared_ptr(nullptr_t __p, _Deleter __d, _Alloc __a)
 : _M_ptr(0), _M_refcount(__p, __d, std::move(__a))
 { }
      template<typename _Tp1>
 __shared_ptr(const __shared_ptr<_Tp1, _Lp>& __r, _Tp* __p) noexcept
 : _M_ptr(__p), _M_refcount(__r._M_refcount)
 { }
      __shared_ptr(const __shared_ptr&) noexcept = default;
      __shared_ptr& operator=(const __shared_ptr&) noexcept = default;
      ~__shared_ptr() = default;
      template<typename _Tp1, typename = typename
        std::enable_if<std::is_convertible<_Tp1*, _Tp*>::value>::type>
 __shared_ptr(const __shared_ptr<_Tp1, _Lp>& __r) noexcept
 : _M_ptr(__r._M_ptr), _M_refcount(__r._M_refcount)
 { }
      __shared_ptr(__shared_ptr&& __r) noexcept
      : _M_ptr(__r._M_ptr), _M_refcount()
      {
 _M_refcount._M_swap(__r._M_refcount);
 __r._M_ptr = 0;
      }
      template<typename _Tp1, typename = typename
        std::enable_if<std::is_convertible<_Tp1*, _Tp*>::value>::type>
 __shared_ptr(__shared_ptr<_Tp1, _Lp>&& __r) noexcept
 : _M_ptr(__r._M_ptr), _M_refcount()
 {
   _M_refcount._M_swap(__r._M_refcount);
   __r._M_ptr = 0;
 }
      template<typename _Tp1>
 explicit __shared_ptr(const __weak_ptr<_Tp1, _Lp>& __r)
 : _M_refcount(__r._M_refcount)
 {
  
   _M_ptr = __r._M_ptr;
 }
      template<typename _Tp1, typename _Del>
 __shared_ptr(std::unique_ptr<_Tp1, _Del>&& __r)
 : _M_ptr(__r.get()), _M_refcount()
 {
  
   _Tp1* __tmp = __r.get();
   _M_refcount = __shared_count<_Lp>(std::move(__r));
   __enable_shared_from_this_helper(_M_refcount, __tmp, __tmp);
 }
      template<typename _Tp1>
 __shared_ptr(std::auto_ptr<_Tp1>&& __r)
 : _M_ptr(__r.get()), _M_refcount()
 {
  
   static_assert( sizeof(_Tp1) > 0, "incomplete type" );
   _Tp1* __tmp = __r.get();
   _M_refcount = __shared_count<_Lp>(std::move(__r));
   __enable_shared_from_this_helper(_M_refcount, __tmp, __tmp);
 }
      constexpr __shared_ptr(nullptr_t) noexcept
      : _M_ptr(0), _M_refcount()
      { }
      template<typename _Tp1>
 __shared_ptr&
 operator=(const __shared_ptr<_Tp1, _Lp>& __r) noexcept
 {
   _M_ptr = __r._M_ptr;
   _M_refcount = __r._M_refcount;
   return *this;
 }
      template<typename _Tp1>
 __shared_ptr&
 operator=(std::auto_ptr<_Tp1>&& __r)
 {
   __shared_ptr(std::move(__r)).swap(*this);
   return *this;
 }
      __shared_ptr&
      operator=(__shared_ptr&& __r) noexcept
      {
 __shared_ptr(std::move(__r)).swap(*this);
 return *this;
      }
      template<class _Tp1>
 __shared_ptr&
 operator=(__shared_ptr<_Tp1, _Lp>&& __r) noexcept
 {
   __shared_ptr(std::move(__r)).swap(*this);
   return *this;
 }
      template<typename _Tp1, typename _Del>
 __shared_ptr&
 operator=(std::unique_ptr<_Tp1, _Del>&& __r)
 {
   __shared_ptr(std::move(__r)).swap(*this);
   return *this;
 }
      void
      reset() noexcept
      { __shared_ptr().swap(*this); }
      template<typename _Tp1>
 void
 reset(_Tp1* __p)
 {
   ;
   __shared_ptr(__p).swap(*this);
 }
      template<typename _Tp1, typename _Deleter>
 void
 reset(_Tp1* __p, _Deleter __d)
 { __shared_ptr(__p, __d).swap(*this); }
      template<typename _Tp1, typename _Deleter, typename _Alloc>
 void
        reset(_Tp1* __p, _Deleter __d, _Alloc __a)
        { __shared_ptr(__p, __d, std::move(__a)).swap(*this); }
      typename std::add_lvalue_reference<_Tp>::type
      operator*() const noexcept
      {
 ;
 return *_M_ptr;
      }
      _Tp*
      operator->() const noexcept
      {
 ;
 return _M_ptr;
      }
      _Tp*
      get() const noexcept
      { return _M_ptr; }
      explicit operator bool() const
      { return _M_ptr == 0 ? false : true; }
      bool
      unique() const noexcept
      { return _M_refcount._M_unique(); }
      long
      use_count() const noexcept
      { return _M_refcount._M_get_use_count(); }
      void
      swap(__shared_ptr<_Tp, _Lp>& __other) noexcept
      {
 std::swap(_M_ptr, __other._M_ptr);
 _M_refcount._M_swap(__other._M_refcount);
      }
      template<typename _Tp1>
 bool
 owner_before(__shared_ptr<_Tp1, _Lp> const& __rhs) const
 { return _M_refcount._M_less(__rhs._M_refcount); }
      template<typename _Tp1>
 bool
 owner_before(__weak_ptr<_Tp1, _Lp> const& __rhs) const
 { return _M_refcount._M_less(__rhs._M_refcount); }
    protected:
      template<typename _Alloc, typename... _Args>
 __shared_ptr(_Sp_make_shared_tag __tag, const _Alloc& __a,
       _Args&&... __args)
 : _M_ptr(), _M_refcount(__tag, (_Tp*)0, __a,
    std::forward<_Args>(__args)...)
 {
   void* __p = _M_refcount._M_get_deleter(typeid(__tag));
   _M_ptr = static_cast<_Tp*>(__p);
   __enable_shared_from_this_helper(_M_refcount, _M_ptr, _M_ptr);
 }
      template<typename _Tp1, _Lock_policy _Lp1, typename _Alloc,
        typename... _Args>
 friend __shared_ptr<_Tp1, _Lp1>
 __allocate_shared(const _Alloc& __a, _Args&&... __args);
    private:
      void*
      _M_get_deleter(const std::type_info& __ti) const noexcept
      { return _M_refcount._M_get_deleter(__ti); }
      template<typename _Tp1, _Lock_policy _Lp1> friend class __shared_ptr;
      template<typename _Tp1, _Lock_policy _Lp1> friend class __weak_ptr;
      template<typename _Del, typename _Tp1, _Lock_policy _Lp1>
 friend _Del* get_deleter(const __shared_ptr<_Tp1, _Lp1>&) noexcept;
      _Tp* _M_ptr;
      __shared_count<_Lp> _M_refcount;
    };
  template<typename _Tp1, typename _Tp2, _Lock_policy _Lp>
    inline bool
    operator==(const __shared_ptr<_Tp1, _Lp>& __a,
        const __shared_ptr<_Tp2, _Lp>& __b) noexcept
    { return __a.get() == __b.get(); }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator==(const __shared_ptr<_Tp, _Lp>& __a, nullptr_t) noexcept
    { return !__a; }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator==(nullptr_t, const __shared_ptr<_Tp, _Lp>& __a) noexcept
    { return !__a; }
  template<typename _Tp1, typename _Tp2, _Lock_policy _Lp>
    inline bool
    operator!=(const __shared_ptr<_Tp1, _Lp>& __a,
        const __shared_ptr<_Tp2, _Lp>& __b) noexcept
    { return __a.get() != __b.get(); }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator!=(const __shared_ptr<_Tp, _Lp>& __a, nullptr_t) noexcept
    { return (bool)__a; }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator!=(nullptr_t, const __shared_ptr<_Tp, _Lp>& __a) noexcept
    { return (bool)__a; }
  template<typename _Tp1, typename _Tp2, _Lock_policy _Lp>
    inline bool
    operator<(const __shared_ptr<_Tp1, _Lp>& __a,
       const __shared_ptr<_Tp2, _Lp>& __b) noexcept
    {
      typedef typename std::common_type<_Tp1*, _Tp2*>::type _CT;
      return std::less<_CT>()(__a.get(), __b.get());
    }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator<(const __shared_ptr<_Tp, _Lp>& __a, nullptr_t) noexcept
    { return std::less<_Tp*>()(__a.get(), nullptr); }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator<(nullptr_t, const __shared_ptr<_Tp, _Lp>& __a) noexcept
    { return std::less<_Tp*>()(nullptr, __a.get()); }
  template<typename _Tp1, typename _Tp2, _Lock_policy _Lp>
    inline bool
    operator<=(const __shared_ptr<_Tp1, _Lp>& __a,
        const __shared_ptr<_Tp2, _Lp>& __b) noexcept
    { return !(__b < __a); }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator<=(const __shared_ptr<_Tp, _Lp>& __a, nullptr_t) noexcept
    { return !(nullptr < __a); }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator<=(nullptr_t, const __shared_ptr<_Tp, _Lp>& __a) noexcept
    { return !(__a < nullptr); }
  template<typename _Tp1, typename _Tp2, _Lock_policy _Lp>
    inline bool
    operator>(const __shared_ptr<_Tp1, _Lp>& __a,
       const __shared_ptr<_Tp2, _Lp>& __b) noexcept
    { return (__b < __a); }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator>(const __shared_ptr<_Tp, _Lp>& __a, nullptr_t) noexcept
    { return std::less<_Tp*>()(nullptr, __a.get()); }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator>(nullptr_t, const __shared_ptr<_Tp, _Lp>& __a) noexcept
    { return std::less<_Tp*>()(__a.get(), nullptr); }
  template<typename _Tp1, typename _Tp2, _Lock_policy _Lp>
    inline bool
    operator>=(const __shared_ptr<_Tp1, _Lp>& __a,
        const __shared_ptr<_Tp2, _Lp>& __b) noexcept
    { return !(__a < __b); }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator>=(const __shared_ptr<_Tp, _Lp>& __a, nullptr_t) noexcept
    { return !(__a < nullptr); }
  template<typename _Tp, _Lock_policy _Lp>
    inline bool
    operator>=(nullptr_t, const __shared_ptr<_Tp, _Lp>& __a) noexcept
    { return !(nullptr < __a); }
  template<typename _Sp>
    struct _Sp_less : public binary_function<_Sp, _Sp, bool>
    {
      bool
      operator()(const _Sp& __lhs, const _Sp& __rhs) const noexcept
      {
 typedef typename _Sp::element_type element_type;
 return std::less<element_type*>()(__lhs.get(), __rhs.get());
      }
    };
  template<typename _Tp, _Lock_policy _Lp>
    struct less<__shared_ptr<_Tp, _Lp>>
    : public _Sp_less<__shared_ptr<_Tp, _Lp>>
    { };
  template<typename _Tp, _Lock_policy _Lp>
    inline void
    swap(__shared_ptr<_Tp, _Lp>& __a, __shared_ptr<_Tp, _Lp>& __b) noexcept
    { __a.swap(__b); }
  template<typename _Tp, typename _Tp1, _Lock_policy _Lp>
    inline __shared_ptr<_Tp, _Lp>
    static_pointer_cast(const __shared_ptr<_Tp1, _Lp>& __r) noexcept
    { return __shared_ptr<_Tp, _Lp>(__r, static_cast<_Tp*>(__r.get())); }
  template<typename _Tp, typename _Tp1, _Lock_policy _Lp>
    inline __shared_ptr<_Tp, _Lp>
    const_pointer_cast(const __shared_ptr<_Tp1, _Lp>& __r) noexcept
    { return __shared_ptr<_Tp, _Lp>(__r, const_cast<_Tp*>(__r.get())); }
  template<typename _Tp, typename _Tp1, _Lock_policy _Lp>
    inline __shared_ptr<_Tp, _Lp>
    dynamic_pointer_cast(const __shared_ptr<_Tp1, _Lp>& __r) noexcept
    {
      if (_Tp* __p = dynamic_cast<_Tp*>(__r.get()))
 return __shared_ptr<_Tp, _Lp>(__r, __p);
      return __shared_ptr<_Tp, _Lp>();
    }
  template<typename _Tp, _Lock_policy _Lp>
    class __weak_ptr
    {
    public:
      typedef _Tp element_type;
      constexpr __weak_ptr() noexcept
      : _M_ptr(0), _M_refcount()
      { }
      __weak_ptr(const __weak_ptr&) noexcept = default;
      __weak_ptr& operator=(const __weak_ptr&) noexcept = default;
      ~__weak_ptr() = default;
      template<typename _Tp1, typename = typename
        std::enable_if<std::is_convertible<_Tp1*, _Tp*>::value>::type>
 __weak_ptr(const __weak_ptr<_Tp1, _Lp>& __r) noexcept
 : _M_refcount(__r._M_refcount)
        { _M_ptr = __r.lock().get(); }
      template<typename _Tp1, typename = typename
        std::enable_if<std::is_convertible<_Tp1*, _Tp*>::value>::type>
 __weak_ptr(const __shared_ptr<_Tp1, _Lp>& __r) noexcept
 : _M_ptr(__r._M_ptr), _M_refcount(__r._M_refcount)
 { }
      template<typename _Tp1>
 __weak_ptr&
 operator=(const __weak_ptr<_Tp1, _Lp>& __r) noexcept
 {
   _M_ptr = __r.lock().get();
   _M_refcount = __r._M_refcount;
   return *this;
 }
      template<typename _Tp1>
 __weak_ptr&
 operator=(const __shared_ptr<_Tp1, _Lp>& __r) noexcept
 {
   _M_ptr = __r._M_ptr;
   _M_refcount = __r._M_refcount;
   return *this;
 }
      __shared_ptr<_Tp, _Lp>
      lock() const noexcept
      {
 if (expired())
   return __shared_ptr<element_type, _Lp>();
 try
   {
     return __shared_ptr<element_type, _Lp>(*this);
   }
 catch(const bad_weak_ptr&)
   {
     return __shared_ptr<element_type, _Lp>();
   }
      }
      long
      use_count() const noexcept
      { return _M_refcount._M_get_use_count(); }
      bool
      expired() const noexcept
      { return _M_refcount._M_get_use_count() == 0; }
      template<typename _Tp1>
 bool
 owner_before(const __shared_ptr<_Tp1, _Lp>& __rhs) const
 { return _M_refcount._M_less(__rhs._M_refcount); }
      template<typename _Tp1>
 bool
 owner_before(const __weak_ptr<_Tp1, _Lp>& __rhs) const
 { return _M_refcount._M_less(__rhs._M_refcount); }
      void
      reset() noexcept
      { __weak_ptr().swap(*this); }
      void
      swap(__weak_ptr& __s) noexcept
      {
 std::swap(_M_ptr, __s._M_ptr);
 _M_refcount._M_swap(__s._M_refcount);
      }
    private:
      void
      _M_assign(_Tp* __ptr, const __shared_count<_Lp>& __refcount) noexcept
      {
 _M_ptr = __ptr;
 _M_refcount = __refcount;
      }
      template<typename _Tp1, _Lock_policy _Lp1> friend class __shared_ptr;
      template<typename _Tp1, _Lock_policy _Lp1> friend class __weak_ptr;
      friend class __enable_shared_from_this<_Tp, _Lp>;
      friend class enable_shared_from_this<_Tp>;
      _Tp* _M_ptr;
      __weak_count<_Lp> _M_refcount;
    };
  template<typename _Tp, _Lock_policy _Lp>
    inline void
    swap(__weak_ptr<_Tp, _Lp>& __a, __weak_ptr<_Tp, _Lp>& __b) noexcept
    { __a.swap(__b); }
  template<typename _Tp, typename _Tp1>
    struct _Sp_owner_less : public binary_function<_Tp, _Tp, bool>
    {
      bool
      operator()(const _Tp& __lhs, const _Tp& __rhs) const
      { return __lhs.owner_before(__rhs); }
      bool
      operator()(const _Tp& __lhs, const _Tp1& __rhs) const
      { return __lhs.owner_before(__rhs); }
      bool
      operator()(const _Tp1& __lhs, const _Tp& __rhs) const
      { return __lhs.owner_before(__rhs); }
    };
  template<typename _Tp, _Lock_policy _Lp>
    struct owner_less<__shared_ptr<_Tp, _Lp>>
    : public _Sp_owner_less<__shared_ptr<_Tp, _Lp>, __weak_ptr<_Tp, _Lp>>
    { };
  template<typename _Tp, _Lock_policy _Lp>
    struct owner_less<__weak_ptr<_Tp, _Lp>>
    : public _Sp_owner_less<__weak_ptr<_Tp, _Lp>, __shared_ptr<_Tp, _Lp>>
    { };
  template<typename _Tp, _Lock_policy _Lp>
    class __enable_shared_from_this
    {
    protected:
      constexpr __enable_shared_from_this() noexcept { }
      __enable_shared_from_this(const __enable_shared_from_this&) noexcept { }
      __enable_shared_from_this&
      operator=(const __enable_shared_from_this&) noexcept
      { return *this; }
      ~__enable_shared_from_this() { }
    public:
      __shared_ptr<_Tp, _Lp>
      shared_from_this()
      { return __shared_ptr<_Tp, _Lp>(this->_M_weak_this); }
      __shared_ptr<const _Tp, _Lp>
      shared_from_this() const
      { return __shared_ptr<const _Tp, _Lp>(this->_M_weak_this); }
    private:
      template<typename _Tp1>
 void
 _M_weak_assign(_Tp1* __p, const __shared_count<_Lp>& __n) const noexcept
 { _M_weak_this._M_assign(__p, __n); }
      template<typename _Tp1>
 friend void
 __enable_shared_from_this_helper(const __shared_count<_Lp>& __pn,
      const __enable_shared_from_this* __pe,
      const _Tp1* __px) noexcept
 {
   if (__pe != 0)
     __pe->_M_weak_assign(const_cast<_Tp1*>(__px), __pn);
 }
      mutable __weak_ptr<_Tp, _Lp> _M_weak_this;
    };
  template<typename _Tp, _Lock_policy _Lp, typename _Alloc, typename... _Args>
    inline __shared_ptr<_Tp, _Lp>
    __allocate_shared(const _Alloc& __a, _Args&&... __args)
    {
      return __shared_ptr<_Tp, _Lp>(_Sp_make_shared_tag(), __a,
        std::forward<_Args>(__args)...);
    }
  template<typename _Tp, _Lock_policy _Lp, typename... _Args>
    inline __shared_ptr<_Tp, _Lp>
    __make_shared(_Args&&... __args)
    {
      typedef typename std::remove_const<_Tp>::type _Tp_nc;
      return std::__allocate_shared<_Tp, _Lp>(std::allocator<_Tp_nc>(),
           std::forward<_Args>(__args)...);
    }
  template<typename _Tp, _Lock_policy _Lp>
    struct hash<__shared_ptr<_Tp, _Lp>>
    : public __hash_base<size_t, __shared_ptr<_Tp, _Lp>>
    {
      size_t
      operator()(const __shared_ptr<_Tp, _Lp>& __s) const noexcept
      { return std::hash<_Tp*>()(__s.get()); }
    };

}
namespace std __attribute__ ((__visibility__ ("default")))
{

  template<typename _Ch, typename _Tr, typename _Tp, _Lock_policy _Lp>
    inline std::basic_ostream<_Ch, _Tr>&
    operator<<(std::basic_ostream<_Ch, _Tr>& __os,
        const __shared_ptr<_Tp, _Lp>& __p)
    {
      __os << __p.get();
      return __os;
    }
  template<typename _Del, typename _Tp, _Lock_policy _Lp>
    inline _Del*
    get_deleter(const __shared_ptr<_Tp, _Lp>& __p) noexcept
    {
      return static_cast<_Del*>(__p._M_get_deleter(typeid(_Del)));
    }
  template<typename _Tp>
    class shared_ptr : public __shared_ptr<_Tp>
    {
    public:
      constexpr shared_ptr() noexcept
      : __shared_ptr<_Tp>() { }
      shared_ptr(const shared_ptr&) noexcept = default;
      template<typename _Tp1>
 explicit shared_ptr(_Tp1* __p)
        : __shared_ptr<_Tp>(__p) { }
      template<typename _Tp1, typename _Deleter>
 shared_ptr(_Tp1* __p, _Deleter __d)
        : __shared_ptr<_Tp>(__p, __d) { }
      template<typename _Deleter>
 shared_ptr(nullptr_t __p, _Deleter __d)
        : __shared_ptr<_Tp>(__p, __d) { }
      template<typename _Tp1, typename _Deleter, typename _Alloc>
 shared_ptr(_Tp1* __p, _Deleter __d, _Alloc __a)
 : __shared_ptr<_Tp>(__p, __d, std::move(__a)) { }
      template<typename _Deleter, typename _Alloc>
 shared_ptr(nullptr_t __p, _Deleter __d, _Alloc __a)
 : __shared_ptr<_Tp>(__p, __d, std::move(__a)) { }
      template<typename _Tp1>
 shared_ptr(const shared_ptr<_Tp1>& __r, _Tp* __p) noexcept
 : __shared_ptr<_Tp>(__r, __p) { }
      template<typename _Tp1, typename = typename
        std::enable_if<std::is_convertible<_Tp1*, _Tp*>::value>::type>
 shared_ptr(const shared_ptr<_Tp1>& __r) noexcept
        : __shared_ptr<_Tp>(__r) { }
      shared_ptr(shared_ptr&& __r) noexcept
      : __shared_ptr<_Tp>(std::move(__r)) { }
      template<typename _Tp1, typename = typename
        std::enable_if<std::is_convertible<_Tp1*, _Tp*>::value>::type>
 shared_ptr(shared_ptr<_Tp1>&& __r) noexcept
 : __shared_ptr<_Tp>(std::move(__r)) { }
      template<typename _Tp1>
 explicit shared_ptr(const weak_ptr<_Tp1>& __r)
 : __shared_ptr<_Tp>(__r) { }
      template<typename _Tp1>
 shared_ptr(std::auto_ptr<_Tp1>&& __r)
 : __shared_ptr<_Tp>(std::move(__r)) { }
      template<typename _Tp1, typename _Del>
 shared_ptr(std::unique_ptr<_Tp1, _Del>&& __r)
 : __shared_ptr<_Tp>(std::move(__r)) { }
      constexpr shared_ptr(nullptr_t __p) noexcept
      : __shared_ptr<_Tp>(__p) { }
      shared_ptr& operator=(const shared_ptr&) noexcept = default;
      template<typename _Tp1>
 shared_ptr&
 operator=(const shared_ptr<_Tp1>& __r) noexcept
 {
   this->__shared_ptr<_Tp>::operator=(__r);
   return *this;
 }
      template<typename _Tp1>
 shared_ptr&
 operator=(std::auto_ptr<_Tp1>&& __r)
 {
   this->__shared_ptr<_Tp>::operator=(std::move(__r));
   return *this;
 }
      shared_ptr&
      operator=(shared_ptr&& __r) noexcept
      {
 this->__shared_ptr<_Tp>::operator=(std::move(__r));
 return *this;
      }
      template<class _Tp1>
 shared_ptr&
 operator=(shared_ptr<_Tp1>&& __r) noexcept
 {
   this->__shared_ptr<_Tp>::operator=(std::move(__r));
   return *this;
 }
      template<typename _Tp1, typename _Del>
 shared_ptr&
 operator=(std::unique_ptr<_Tp1, _Del>&& __r)
 {
   this->__shared_ptr<_Tp>::operator=(std::move(__r));
   return *this;
 }
    private:
      template<typename _Alloc, typename... _Args>
 shared_ptr(_Sp_make_shared_tag __tag, const _Alloc& __a,
     _Args&&... __args)
 : __shared_ptr<_Tp>(__tag, __a, std::forward<_Args>(__args)...)
 { }
      template<typename _Tp1, typename _Alloc, typename... _Args>
 friend shared_ptr<_Tp1>
 allocate_shared(const _Alloc& __a, _Args&&... __args);
    };
  template<typename _Tp1, typename _Tp2>
    inline bool
    operator==(const shared_ptr<_Tp1>& __a,
        const shared_ptr<_Tp2>& __b) noexcept
    { return __a.get() == __b.get(); }
  template<typename _Tp>
    inline bool
    operator==(const shared_ptr<_Tp>& __a, nullptr_t) noexcept
    { return !__a; }
  template<typename _Tp>
    inline bool
    operator==(nullptr_t, const shared_ptr<_Tp>& __a) noexcept
    { return !__a; }
  template<typename _Tp1, typename _Tp2>
    inline bool
    operator!=(const shared_ptr<_Tp1>& __a,
        const shared_ptr<_Tp2>& __b) noexcept
    { return __a.get() != __b.get(); }
  template<typename _Tp>
    inline bool
    operator!=(const shared_ptr<_Tp>& __a, nullptr_t) noexcept
    { return (bool)__a; }
  template<typename _Tp>
    inline bool
    operator!=(nullptr_t, const shared_ptr<_Tp>& __a) noexcept
    { return (bool)__a; }
  template<typename _Tp1, typename _Tp2>
    inline bool
    operator<(const shared_ptr<_Tp1>& __a,
       const shared_ptr<_Tp2>& __b) noexcept
    {
      typedef typename std::common_type<_Tp1*, _Tp2*>::type _CT;
      return std::less<_CT>()(__a.get(), __b.get());
    }
  template<typename _Tp>
    inline bool
    operator<(const shared_ptr<_Tp>& __a, nullptr_t) noexcept
    { return std::less<_Tp*>()(__a.get(), nullptr); }
  template<typename _Tp>
    inline bool
    operator<(nullptr_t, const shared_ptr<_Tp>& __a) noexcept
    { return std::less<_Tp*>()(nullptr, __a.get()); }
  template<typename _Tp1, typename _Tp2>
    inline bool
    operator<=(const shared_ptr<_Tp1>& __a,
        const shared_ptr<_Tp2>& __b) noexcept
    { return !(__b < __a); }
  template<typename _Tp>
    inline bool
    operator<=(const shared_ptr<_Tp>& __a, nullptr_t) noexcept
    { return !(nullptr < __a); }
  template<typename _Tp>
    inline bool
    operator<=(nullptr_t, const shared_ptr<_Tp>& __a) noexcept
    { return !(__a < nullptr); }
  template<typename _Tp1, typename _Tp2>
    inline bool
    operator>(const shared_ptr<_Tp1>& __a,
       const shared_ptr<_Tp2>& __b) noexcept
    { return (__b < __a); }
  template<typename _Tp>
    inline bool
    operator>(const shared_ptr<_Tp>& __a, nullptr_t) noexcept
    { return std::less<_Tp*>()(nullptr, __a.get()); }
  template<typename _Tp>
    inline bool
    operator>(nullptr_t, const shared_ptr<_Tp>& __a) noexcept
    { return std::less<_Tp*>()(__a.get(), nullptr); }
  template<typename _Tp1, typename _Tp2>
    inline bool
    operator>=(const shared_ptr<_Tp1>& __a,
        const shared_ptr<_Tp2>& __b) noexcept
    { return !(__a < __b); }
  template<typename _Tp>
    inline bool
    operator>=(const shared_ptr<_Tp>& __a, nullptr_t) noexcept
    { return !(__a < nullptr); }
  template<typename _Tp>
    inline bool
    operator>=(nullptr_t, const shared_ptr<_Tp>& __a) noexcept
    { return !(nullptr < __a); }
  template<typename _Tp>
    struct less<shared_ptr<_Tp>> : public _Sp_less<shared_ptr<_Tp>>
    { };
  template<typename _Tp>
    inline void
    swap(shared_ptr<_Tp>& __a, shared_ptr<_Tp>& __b) noexcept
    { __a.swap(__b); }
  template<typename _Tp, typename _Tp1>
    inline shared_ptr<_Tp>
    static_pointer_cast(const shared_ptr<_Tp1>& __r) noexcept
    { return shared_ptr<_Tp>(__r, static_cast<_Tp*>(__r.get())); }
  template<typename _Tp, typename _Tp1>
    inline shared_ptr<_Tp>
    const_pointer_cast(const shared_ptr<_Tp1>& __r) noexcept
    { return shared_ptr<_Tp>(__r, const_cast<_Tp*>(__r.get())); }
  template<typename _Tp, typename _Tp1>
    inline shared_ptr<_Tp>
    dynamic_pointer_cast(const shared_ptr<_Tp1>& __r) noexcept
    {
      if (_Tp* __p = dynamic_cast<_Tp*>(__r.get()))
 return shared_ptr<_Tp>(__r, __p);
      return shared_ptr<_Tp>();
    }
  template<typename _Tp>
    class weak_ptr : public __weak_ptr<_Tp>
    {
    public:
      constexpr weak_ptr() noexcept
      : __weak_ptr<_Tp>() { }
      template<typename _Tp1, typename = typename
        std::enable_if<std::is_convertible<_Tp1*, _Tp*>::value>::type>
 weak_ptr(const weak_ptr<_Tp1>& __r) noexcept
 : __weak_ptr<_Tp>(__r) { }
      template<typename _Tp1, typename = typename
        std::enable_if<std::is_convertible<_Tp1*, _Tp*>::value>::type>
 weak_ptr(const shared_ptr<_Tp1>& __r) noexcept
 : __weak_ptr<_Tp>(__r) { }
      template<typename _Tp1>
 weak_ptr&
 operator=(const weak_ptr<_Tp1>& __r) noexcept
 {
   this->__weak_ptr<_Tp>::operator=(__r);
   return *this;
 }
      template<typename _Tp1>
 weak_ptr&
 operator=(const shared_ptr<_Tp1>& __r) noexcept
 {
   this->__weak_ptr<_Tp>::operator=(__r);
   return *this;
 }
      shared_ptr<_Tp>
      lock() const noexcept
      {
 if (this->expired())
   return shared_ptr<_Tp>();
 try
   {
     return shared_ptr<_Tp>(*this);
   }
 catch(const bad_weak_ptr&)
   {
     return shared_ptr<_Tp>();
   }
      }
    };
  template<typename _Tp>
    inline void
    swap(weak_ptr<_Tp>& __a, weak_ptr<_Tp>& __b) noexcept
    { __a.swap(__b); }
  template<typename _Tp>
    struct owner_less;
  template<typename _Tp>
    struct owner_less<shared_ptr<_Tp>>
    : public _Sp_owner_less<shared_ptr<_Tp>, weak_ptr<_Tp>>
    { };
  template<typename _Tp>
    struct owner_less<weak_ptr<_Tp>>
    : public _Sp_owner_less<weak_ptr<_Tp>, shared_ptr<_Tp>>
    { };
  template<typename _Tp>
    class enable_shared_from_this
    {
    protected:
      constexpr enable_shared_from_this() noexcept { }
      enable_shared_from_this(const enable_shared_from_this&) noexcept { }
      enable_shared_from_this&
      operator=(const enable_shared_from_this&) noexcept
      { return *this; }
      ~enable_shared_from_this() { }
    public:
      shared_ptr<_Tp>
      shared_from_this()
      { return shared_ptr<_Tp>(this->_M_weak_this); }
      shared_ptr<const _Tp>
      shared_from_this() const
      { return shared_ptr<const _Tp>(this->_M_weak_this); }
    private:
      template<typename _Tp1>
 void
 _M_weak_assign(_Tp1* __p, const __shared_count<>& __n) const noexcept
 { _M_weak_this._M_assign(__p, __n); }
      template<typename _Tp1>
 friend void
 __enable_shared_from_this_helper(const __shared_count<>& __pn,
      const enable_shared_from_this* __pe,
      const _Tp1* __px) noexcept
 {
   if (__pe != 0)
     __pe->_M_weak_assign(const_cast<_Tp1*>(__px), __pn);
 }
      mutable weak_ptr<_Tp> _M_weak_this;
    };
  template<typename _Tp, typename _Alloc, typename... _Args>
    inline shared_ptr<_Tp>
    allocate_shared(const _Alloc& __a, _Args&&... __args)
    {
      return shared_ptr<_Tp>(_Sp_make_shared_tag(), __a,
        std::forward<_Args>(__args)...);
    }
  template<typename _Tp, typename... _Args>
    inline shared_ptr<_Tp>
    make_shared(_Args&&... __args)
    {
      typedef typename std::remove_const<_Tp>::type _Tp_nc;
      return std::allocate_shared<_Tp>(std::allocator<_Tp_nc>(),
           std::forward<_Args>(__args)...);
    }
  template<typename _Tp>
    struct hash<shared_ptr<_Tp>>
    : public __hash_base<size_t, shared_ptr<_Tp>>
    {
      size_t
      operator()(const shared_ptr<_Tp>& __s) const noexcept
      { return std::hash<_Tp*>()(__s.get()); }
    };

}
int main()
{
 std::tr1::auto_ptr<int> a(new int);
 return 0;
}